{"id":11836,"date":"2024-11-21T08:32:28","date_gmt":"2024-11-21T00:32:28","guid":{"rendered":"http:\/\/www.aiersheng.cc\/?p=11836"},"modified":"2024-11-21T08:32:28","modified_gmt":"2024-11-21T00:32:28","slug":"%e7%89%a9%e7%90%86_%e9%ab%98%e8%80%83%e7%89%a9%e7%90%86%e8%a7%a3%e9%a2%98%e6%8a%80%e5%b7%a7%e8%af%a6%e8%a7%a3_%e4%be%a7%e9%87%8d%e5%a6%82%e4%bd%95%e8%a7%a3%e9%a2%98","status":"publish","type":"post","link":"https:\/\/www.aiersheng.cc\/?p=11836","title":{"rendered":"\u7269\u7406_\u9ad8\u8003\u7269\u7406\u89e3\u9898\u6280\u5de7\u8be6\u89e3_\u4fa7\u91cd\u5982\u4f55\u89e3\u9898"},"content":{"rendered":"<p>\u9ad8\u4e2d\u7269\u7406\u89e3\u9898\u6280\u5de7<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u9ad8\u4e2d\u9636\u6bb5\uff0c\u6700\u96be\u5b66\u7684\u8bfe\u7a0b\u662f\u7269\u7406\uff0c\u65e2\u8981\u6c42\u5b66\u751f\u6709\u8fc7\u786c\u7684\u6570\u5b66\u529f\u5e95\uff0c\u8fd8\u8981\u5b66\u751f\u6709\u8f83\u5f3a\u7684\u7a7a\u95f4\u7acb\u4f53\u611f\u548c\u62bd\u8c61\u601d\u7ef4\u80fd\u529b\u3002\u672c\u603b\u8bba\u8f83\u8be6\u7ec6\u5730\u4ecb\u7ecd\u4e8648\u79cd\u9ad8\u4e2d\u7269\u7406\u6d3b\u9898\u5de7\u89e3\u7684\u65b9\u6cd5\uff0c\u52a0\u4e0a\u78c1\u573a\u90e8\u5206\u201c\u96be\u70b9\u5de7\u5b66\u201d\u4e2d\u4ecb\u7ecd\u7684\u201c\u7ed3\u8bba\u6cd5\u201d\uff0c\u5171\u8ba1\u670949\u79cd\u65b9\u6cd5\uff0c\u8fd9\u4e9b\u65b9\u6cd5\u4e2d\u6709\u5927\u5bb6\u5f88\u719f\u6089\u7684\u3001\u7528\u5f97\u5f88\u591a\u7684\u6574\u4f53\u6cd5\u3001\u9694\u79bb\u6cd5\u3001\u4e34\u754c\u6761\u4ef6\u6cd5\u3001\u77e2\u91cf\u56fe\u89e3\u6cd5\u7b49\uff0c\u4e5f\u6709\u7528\u5f97\u5f88\u5c11\u7684\u8865\u507f\u6cd5\u3001\u5fae\u5143\u6cd5\u3001\u8282\u70b9\u7535\u6d41\u6cd5\u7b49\uff0c\u66f4\u591a\u7684\u662f\u7528\u5f97\u8f83\u591a\uff0c\u4f46\u65b9\u6cd5\u540d\u79f0\u8fd8\u672a\u7edf\u4e00\u7684\u5de7\u89e3\u65b9\u6cd5\uff0c\u8fd9\u4e9b\u65b9\u6cd5\u7528\u8d77\u6765\u5f88\u5de7\uff0c\u7ed9\u4eba\u4ee5\u8033\u76ee\u4e00\u65b0\u3001\u8c41\u7136\u5f00\u6717\u7684\u611f\u89c9\uff0c\u672c\u603b\u8bba\u7ed9\u51fa\u4e86\u8f83\u79d1\u5b66\u5408\u7406\u7684\u65b9\u6cd5\u540d\u79f0\u3002\u53e4\u4eba\u4e91\uff1a\u6388\u4eba\u4ee5\u9c7c\uff0c\u53ea\u4f9b\u4e00\u996d\u4e4b\u9700\uff1b\u6388\u4eba\u4ee5\u6e14\uff0c\u5219\u4e00\u751f\u53d7\u7528\u65e0\u7a77\uff0c\u672c\u4e66\u7f16\u8005\u672c\u7740\u201c\u4e00\u5207\u4e3a\u4e86\u5b66\u751f\uff0c\u4e3a\u4e86\u4e00\u5207\u5b66\u751f\uff0c\u4e3a\u4e86\u5b66\u751f\u7684\u4e00\u5207\u201d\u7684\u5b97\u65e8\uff0c\u5455\u5fc3\u6ca5\u8840\u5730\u7f16\u5199\u4e86\u8fd9\u672c\u4e66\uff0c\u4ee5\u7cbe\u76ca\u6c42\u7cbe\u7684\u8d28\u91cf\u3001\u72ec\u5177\u5320\u5fc3\u7684\u521b\u610f\uff0c\u6559\u4f1a\u5b66\u751f\u5728\u77ed\u65f6\u95f4\u5185\u63d0\u9ad8\u7269\u7406\u5206\u6790\u3001\u89e3\u9898\u6280\u80fd\uff0c\u7f29\u77ed\u89e3\u9898\u65f6\u95f4\uff0c\u5bf9\u51cf\u8f7b\u5b66\u4e60\u8d1f\u62c5\u3001\u5f00\u53d1\u667a\u529b\u3001\u63d0\u9ad8\u5b66\u4e60\u6210\u7ee9\u6709\u6781\u5927\u5730\u5e2e\u52a9\u3002<\/p>\n<p><strong>\u4e00\u3001\u6574\u4f53\u6cd5<\/strong><\/p>\n<p>\u7814\u7a76\u5bf9\u8c61\u6709\u4e24\u4e2a\u6216\u4e24\u4e2a\u4ee5\u4e0a\u7684\u7269\u4f53\uff0c\u53ef\u4ee5\u628a\u5b83\u4eec\u4f5c\u4e3a\u4e00\u4e0b\u6574\u4f53\uff0c\u6574\u4f53\u8d28\u91cf\u7b49\u4e8e\u5b83\u4eec\u7684\u603b\u8d28\u91cf\u3002\u6574\u4f53\u7535\u91cf\u7b49\u4e8e\u5b83\u4eec\u7535\u91cf\u4ee3\u6570\u548c\u3002<\/p>\n<p>\u6709\u7684\u7269\u7406\u8fc7\u7a0b\u6bd4\u8f83\u590d\u6742\uff0c\u7531\u51e0\u4e2a\u5206\u8fc7\u7a0b\u7ec4\u6210\uff0c\u6211\u4eec\u53ef\u4ee5\u628a\u8fd9\u51e0\u4e2a\u5206\u8fc7\u7a0b\u770b\u6210\u4e00\u4e2a\u6574\u4f53\u3002<\/p>\n<p>\u6240\u8c13\u6574\u4f53\u6cd5\u5c31\u662f\u5c06\u4e24\u4e2a\u6216\u4e24\u4e2a\u4ee5\u4e0a\u7269\u4f53\u7ec4\u6210\u7684\u6574\u4e2a\u7cfb\u7edf\uff0c\u6216\u7531\u51e0\u4e2a\u5206\u8fc7\u7a0b\u7ec4\u6210\u7684\u6574\u4e2a\u8fc7\u7a0b\u4f5c\u4e3a\u7814\u7a76\u5bf9\u8c61\u8fdb\u884c\u5206\u6790\u7814\u7a76\u7684\u65b9\u6cd5\u3002<\/p>\n<p>\u6574\u4f53\u6cd5\u9002\u7528\u4e8e\u6c42\u7cfb\u7edf\u6240\u53d7\u7684\u5916\u529b\uff0c\u8ba1\u7b97\u6574\u4f53\u5408\u5916\u529b\u65f6\uff0c\u4f5c\u4e3a\u6574\u4f53\u7684\u51e0\u4e2a\u5bf9\u8c61\u4e4b\u95f4\u7684\u4f5c\u7528\u529b\u5c5e\u4e8e\u7cfb\u7edf\u5185\u529b\u4e0d\u9700\u8003\u8651\uff0c\u53ea\u9700\u8003\u8651\u7cfb\u7edf\u5916\u7684\u7269\u4f53\u5bf9\u8be5\u7cfb\u7edf\u7684\u4f5c\u7528\u529b\uff0c\u6545\u53ef\u4f7f\u95ee\u9898\u5316\u7e41\u4e3a\u7b80\u3002<\/p>\n<p>\u4f8b1\uff1a\u5728\u6c34\u5e73\u6ed1\u684c\u9762\u4e0a\u653e\u7f6e\u4e24\u4e2a\u7269\u4f53A\u3001B\u5982\u56fe1-1\u6240\u793a\uff0c<em>m<\/em><sub>A<\/sub>=1kg\uff0c<em>m<\/em><sub>B<\/sub>=2kg\uff0c\u5b83\u4eec\u4e4b\u95f4\u7528\u4e0d\u53ef\u4f38\u957f\u7684\u7ec6\u7ebf\u76f8\u8fde\uff0c\u7ec6\u7ebf\u8d28\u91cf\u5ffd\u7565\u4e0d\u8ba1\uff0c<em>A\u3001B<\/em>\u5206\u522b\u53d7\u5230\u6c34\u5e73\u95f4\u5411\u5de6\u62c9\u529b<em>F<\/em><sub>1<\/sub>=10N\u548c\u6c34\u5e73\u5411\u53f3\u62c9\u529b<em>F<\/em><sub>2<\/sub>=40N\u7684\u4f5c\u7528\uff0c\u6c42<em>A\u3001B<\/em>\u95f4\u7ec6\u7ebf\u7684\u62c9\u529b\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u3010\u5de7\u89e3\u3011\u7531\u4e8e\u7ec6\u7ebf\u4e0d\u53ef\u4f38\u957f\uff0cA\u3001B\u6709\u5171\u540c\u7684\u52a0\u901f\u5ea6\uff0c\u5219\u5171\u540c\u52a0\u901f\u5ea6\u5bf9\u4e8eA\u7269\u4f53\uff1a\u53d7\u5230\u7ec6\u7ebf\u5411\u53f3\u62c9\u529bF\u548cF<sub>1<\/sub>\u62c9\u529b\u4f5c\u7528\uff0c\u5219\uff0c\u5373\u00a0<\/p>\n<p>F=20N \u00a0\u00a0<\/p>\n<p>\u3010\u7b54\u6848\u3011=20N<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u4f8b2\uff1a\u5982\u56fe1-2\u6240\u793a\uff0c\u4e0a\u4e0b\u4e24\u5e26\u7535\u5c0f\u7403\uff0ca\u3001b\u8d28\u91cf\u5747\u4e3am\uff0c\u6240\u5e26\u7535\u91cf\u5206\u522b\u4e3aq\u548c-q\uff0c\u4e24\u7403\u95f4\u7528\u4e00\u7edd\u7f18\u7ec6\u7ebf\u8fde\u63a5\uff0c\u4e0a\u7403\u53c8\u7528\u7edd\u7f18\u7ec6\u7ebf\u60ac\u6302\u5728\u5f00\u82b1\u677f\u4e0a\uff0c\u5728\u4e24\u7403\u6240\u5728\u7a7a\u95f4\u6709\u6c34\u5e73\u65b9\u5411\u7684\u5300\u5f3a\u7535\u573a\uff0c\u573a\u5f3a\u4e3aE\uff0c\u5e73\u8861\u7ec6\u7ebf\u90fd\u88ab\u62c9\u7d27\uff0c\u53f3\u8fb9\u56db\u56fe\u4e2d\uff0c\u8868\u793a\u5e73\u8861\u72b6\u6001\u7684\u53ef\u80fd\u662f\uff1a<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u3010\u5de7\u89e3\u3011\u5bf9\u4e8ea\u3001b\u6784\u6210\u7684\u6574\u4f53\uff0c\u603b\u7535\u91cfQ=q-q=0\uff0c\u603b\u8d28\u91cfM=2m\uff0c\u5728\u7535\u573a\u4e2d\u9759\u6b62\u65f6\uff0cab\u6574\u4f53\u53d7\u5230\u62c9\u529b\u548c\u603b\u91cd\u529b\u4f5c\u7528\uff0c\u4e8c\u529b\u5e73\u8861\uff0c\u6545\u62c9\u529b\u4e0e\u91cd\u529b\u5728\u540c\u4e00\u6761\u7ad6\u76f4\u7ebf\u4e0a\u3002<\/p>\n<p>\u3010\u7b54\u6848\u3011A<\/p>\n<p>\u8bf4\u660e\uff1a\u6b64\u7b54\u6848\u53ea\u5c40\u9650\u4e8ea\u3001b\u5e26\u7b49\u91cf\u6b63\u8d1f\u7535\u8377\uff0c\u82e5a\u3001b\u5e26\u4e0d\u7b49\u91cf\u5f02\u79cd\u7535\u8377\uff0c\u5219a\u4e0e\u5929\u82b1\u677f\u95f4\u7ec6\u7ebf\u5c06\u504f\u79bb\u7ad6\u76f4\u7ebf\u3002<\/p>\n<p>\u4f8b3\uff1a\u5982\u56fe1-3\u6240\u793a\uff0c\u8d28\u91cf\u4e3aM\u7684\u6728\u7bb1\u653e\u5728\u6c34\u5e73\u9762\u4e0a\uff0c\u6728\u7bb1\u4e2d\u7684\u7acb\u6746\u4e0a\u5957\u7740\u4e00\u4e2a\u8d28\u91cf\u4e3am\u7684\u5c0f\u7403\uff0c\u5f00\u59cb\u65f6\u5c0f\u7403\u5728\u6746\u7684\u9876\u7aef\uff0c\u7531\u9759\u6b62\u91ca\u653e\u540e\uff0c\u5c0f\u7403\u6cbf\u6746\u4e0b\u6ed1\u7684\u52a0\u901f\u5ea6\u4e3a\u91cd\u529b\u52a0\u901f\u5ea6\u7684\uff0c\u5373\uff0c\u5219\u5c0f\u7403\u5728\u4e0b\u6ed1\u7684\u8fc7\u7a0b\u4e2d\uff0c\u6728\u7bb1\u5bf9\u5730\u9762\u7684\u538b\u529b\u4e3a\u591a\u5c11\uff1f<\/p>\n<p>\u3010\u5de7\u89e3\u3011\u5bf9\u4e8e\u201c\u4e00\u52a8\u4e00\u9759\u201d\u8fde\u63a5\u4f53\uff0c\u4e5f\u53ef\u9009\u53d6\u6574\u4f53\u4e3a\u7814\u7a76\u5bf9\u8c61\uff0c\u4f9d\u725b\u987f\u7b2c\u4e8c\u5b9a\u5f8b\u5217\u5f0f\uff1a\u6545\u6728\u7bb1\u6240\u53d7\u652f\u6301\u529b\uff1a\uff0c\u7531\u725b\u987f\u7b2c\u4e09\u5b9a\u5f8b\u77e5\uff1a\u6728\u7bb1\u5bf9\u5730\u9762\u538b\u529b\u3002<\/p>\n<p>\u3010\u7b54\u6848\u3011\u6728\u7bb1\u5bf9\u5730\u9762\u7684\u538b\u529b<\/p>\n<p>\u4f8b4\uff1a\u5982\u56fe1-4\uff0c\u8d28\u91cf\u4e3am\u7684\u7269\u4f53A\u653e\u7f6e\u5728\u8d28\u91cf\u4e3aM\u7684\u7269\u4f53B\u4e0a\uff0cB\u4e0e\u5f39\u7c27\u76f8\u8fde\uff0c\u5b83\u4eec\u4e00\u8d77\u5728\u5149\u6ed1\u6c34\u5e73\u9762\u4e0a\u505a\u7b80\u8c10\u632f\u52a8\uff0c\u632f\u52a8\u8fc7\u7a0b\u4e2dA\u3001B\u4e4b\u95f4\u65e0\u76f8\u5bf9\u8fd0\u52a8\uff0c\u8bbe\u5f39\u7c27\u7684\u52b2\u5ea6\u7cfb\u6570\u4e3a<em>k<\/em>\uff0c\u5f53\u7269\u4f53\u79bb\u5f00\u5e73\u8861\u4f4d\u7f6e\u7684\u4f4d\u79fb\u4e3a<em>x<\/em>\u65f6\uff0cA\u3001B\u95f4\u6469\u64e6\u529bf\u7684\u5927\u5c0f\u7b49\u4e8e\uff08 \u00a0\u00a0\u00a0\uff09<\/p>\n<p>A\u30010 B\u3001<em>kx<\/em> C\u3001 D\u3001<\/p>\n<p>\u3010\u5de7\u89e3\u3011\u5bf9\u4e8eA\u3001B\u6784\u6210\u7684\u6574\u4f53\uff0c\u5f53\u7cfb\u7edf\u79bb\u5f00\u5e73\u8861\u4f4d\u7f6e\u7684\u4f4d\u79fb\u4e3a<em>x<\/em>\u65f6\uff0c\u7cfb\u7edf\u6240\u53d7\u7684\u5408\u529b\u4e3aF=<em>kx<\/em>\uff0c\u7cfb\u7edf\u7684\u52a0\u901f\u5ea6\u4e3a\uff0c\u800c\u5bf9\u4e8eA\u7269\u4f53\u6709\u6469\u64e6\u529b\uff0c\u6545\u6b63\u786e\u7b54\u6848\u4e3aD\u3002<\/p>\n<p>\u3010\u7b54\u6848\u3011D<\/p>\n<p>\u4f8b5\uff1a\u5982\u56fe1-5\u6240\u793a\uff0c\u8d28\u91cf\u4e3am=2kg\u7684\u7269\u4f53\uff0c\u5728\u6c34\u5e73\u529bF=8N\u7684\u4f5c\u7528\u4e0b\uff0c\u7531\u9759\u6b62\u5f00\u59cb\u6cbf\u6c34\u5e73\u65b9\u5411\u53f3\u8fd0\u52a8\uff0c\u5df2\u77e5\u7269\u4f53\u4e0e\u6c34\u5e73\u9762\u95f4\u7684\u52a8\u6469\u64e6\u56e0\u6570\u03bc=0.2\uff0c\u82e5F\u4f5c\u7528t<sub>1<\/sub>=6s\u540e\u64a4\u53bb\uff0c\u64a4\u53bbF\u540e\u53c8\u7ecft<sub>2<\/sub>=2s\u7269\u4f53\u4e0e\u7ad6\u76f4\u58c1\u76f8\u78b0\uff0c\u82e5\u7269\u4f53\u4e0e\u5899\u58c1\u4f5c\u7528\u65f6\u95f4t<sub>3<\/sub>=0.1s\uff0c\u78b0\u540e\u53cd\u5411\u5f39\u56de\u7684\u901f\u5ea6\u03bd=6m\/s\uff0c\u6c42\u5899\u58c1\u5bf9\u7269\u4f53\u7684\u5e73\u5747\u4f5c\u7528\u529bF<sub>N<\/sub>\uff08g\u53d610m\/s<sup>2<\/sup>\uff09\u3002<\/p>\n<p>\u3010\u5de7\u89e3\u3011\u5982\u679c\u6309\u65f6\u95f4\u6bb5\u6765\u5206\u6790\uff0c\u7269\u7406\u8fc7\u7a0b\u5206\u4e3a\u4e09\u4e2a\uff1a\u64a4\u53bbF\u524d\u7684\u52a0\u901f\u8fc7\u7a0b\uff1b\u64a4\u53bbF\u540e\u7684\u51cf\u901f\u8fc7\u7a0b\uff1b\u7269\u4f53\u4e0e\u5899\u58c1\u78b0\u649e\u8fc7\u7a0b\u3002\u5206\u6bb5\u8ba1\u7b97\u4f1a\u8f83\u590d\u6742\u3002\u73b0\u628a\u5168\u8fc7\u7a0b\u4f5c\u4e3a\u4e00\u4e2a\u6574\u4f53\uff08\u6574\u4f53\u6cd5\uff09\uff0c\u5e94\u7528\u52a8\u91cf\u5b9a\u7406\uff0c\u5e76\u53d6F\u7684\u65b9\u5411\u4e3a\u6b63\u65b9\u5411\uff0c\u5219\u6709\u4ee3\u5165\u6570\u636e\u5316\u7b80\u53ef\u5f97<em>F<\/em><sub>N<\/sub>=280N<\/p>\n<p>\u3010\u7b54\u6848\u3011<em>F<\/em><sub>N<\/sub>=280N<\/p>\n<p>\u5de7\u7ec3\uff1a\u5982\u56fe1-6\u6240\u793a\uff0c\u4f4d\u4e8e\u6c34\u5e73\u5730\u9762\u4e0a\u7684\u659c\u9762\u503e\u89d2\u4e3a<em>\u0430<\/em>\uff0c\u659c\u9762\u4f53\u7684\u8d28\u91cf\u4e3aM\uff0c\u5f53A\u3001B\u4e24\u7269\u4f53\u6cbf\u659c\u9762\u4e0b\u6ed1\u65f6\uff0cA\u3001B\u95f4\u65e0\u76f8\u5bf9\u6ed1\u52a8\uff0c\u659c\u9762\u4f53\u9759\u6b62\uff0c\u8bbeA\u3001B\u7684\u8d28\u91cf\u5747\u4e3am\uff0c\u5219\u5730\u9762\u5bf9\u659c\u9762\u4f53\u7684\u652f\u6301\u529bF<sub>N<\/sub>\u53ca\u6469\u64e6\u529b<em>f<\/em>\u5206\u522b\u662f\u591a\u5c11\uff1f\u82e5\u659c\u9762\u4f53\u4e0d\u662f\u5149\u6ed1\u7684\uff0c\u7269\u4f53A\u3001B\u4e00\u8d77\u6cbf\u659c\u9762\u5300\u901f\u4e0b\u6ed1\u65f6\uff0c\u5730\u9762\u5bf9\u659c\u9762\u4f53\u7684\u652f\u6301\u529bF<sub>N<\/sub>\u53ca\u6469\u64e6\u529b<em>f<\/em>\u53c8\u5206\u522b\u662f\u591a\u5c11\uff1f<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u5de7\u7ec32\uff1a\u5982\u56fe1-7\u6240\u793a\uff0cMN\u4e3a\u7ad6\u76f4\u5899\u58c1\uff0cPQ\u4e3a\u65e0\u9650\u957f\u7684\u6c34\u5e73\u5730\u9762\uff0c\u5728PQ\u7684\u4e0a\u65b9\u6709\u6c34\u5e73\u5411\u5de6\u7684\u5300\u5f3a\u7535\u573a\uff0c\u573a\u5f3a\u4e3aE\uff0c\u5730\u9762\u4e0a\u6709\u4e00\u70b9A\uff0c\u4e0e\u7ad6\u76f4\u5899\u58c1\u7684\u8ddd\u79bb\u4e3ad\uff0c\u8d28\u91cf\u4e3am\uff0c\u5e26\u7535\u91cf\u4e3a+q\u7684\u5c0f\u6ed1\u5757\u4eceA\u70b9\u4ee5\u521d\u901f<em>v<\/em><sub>o<\/sub>\u6cbfPQ\u5411Q\u8fd0\u52a8\uff0c\u6ed1\u5757\u4e0e\u5730\u9762\u95f4\u7684\u52a8\u6469\u64e6\u56e0\u6570\u4e3a<em>\u03bc<\/em>\uff0c\u82e5<em>\u03bc<\/em>mg\uff1cEq\uff0c\u6ed1\u5757\u4e0e\u5899MN\u78b0\u649e\u65f6\u65e0\u80fd\u91cf\u635f\u5931\uff0c\u6c42\u6ed1\u5757\u6240\u7ecf\u5386\u7684\u603b\u8def\u7a0bs\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>\u4e8c\u3001\u9694\u79bb\u6cd5<\/strong><\/p>\n<p>\u6240\u8c13\u9694\u79bb\u6cd5\u5c31\u662f\u5c06\u7814\u7a76\u5bf9\u8c61\uff08\u7269\u4f53\uff09\u540c\u5468\u56f4\u7269\u4f53\u9694\u79bb\u5f00\u6765\uff0c\u5355\u72ec\u5bf9\u5176\u8fdb\u884c\u53d7\u529b\u5206\u6790\u7684\u65b9\u6cd5\u3002\u9694\u79bb\u6cd5\u9002\u7528\u4e8e\u6c42\u7cfb\u7edf\u5185\u5404\u7269\u4f53\uff08\u90e8\u5206\uff09\u95f4\u76f8\u4e92\u4f5c\u7528\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u901a\u5e38\u9694\u79bb\u6cd5\u8981\u4e0e\u6574\u4f53\u6cd5\u7ed3\u5408\u8d77\u6765\u5e94\u7528\uff0c\u8fd9\u6837\u66f4\u6709\u5229\u4e8e\u95ee\u9898\u7684\u6c42\u89e3\u3002<\/p>\n<p>\u4f8b1\uff1a\u5982\u56fe2-1\u6240\u793a\uff0c\u5728\u4e24\u5757\u76f8\u540c\u7684\u7ad6\u76f4\u6728\u677f\u4e4b\u95f4\uff0c\u6709\u8d28\u91cf\u5747\u4e3a<em>m<\/em>\u76844\u5757\u76f8\u540c\u7684\u7816\uff0c\u7528\u4e24\u4e2a\u5927\u5c0f\u5747\u4e3a<em>F<\/em>\u7684\u6c34\u5e73\u529b\u538b\u6728\u677f\uff0c\u4f7f\u7816\u9759\u6b62\u4e0d\u52a8\uff0c\u5219\u7b2c1\u5757\u5bf9\u7b2c2\u5757\u7816\u6469\u64e6\u529b\u5927\u5c0f\u4e3a\uff08 \u00a0\u00a0\uff09<\/p>\n<p>A\u30010 B\u3001mg\/2 C\u3001mg D\u30012mg<\/p>\n<p>\u3010\u5de7\u89e3\u3011\u672c\u9898\u6240\u6c42\u89e3\u7684\u662f\u7b2c1\u5757\u5bf9\u7b2c2\u5757\u7816\u6469\u64e6\u529b\uff0c\u5c5e\u4e8e\u6c42\u5185\u529b\uff0c\u6700\u7ec8\u5fc5\u987b\u8981\u7528\u9694\u79bb\u6cd5\u624d\u80fd\u6c42\u89e3\uff0c\u7814\u7a76\u5bf9\u8c61\u53ef\u4ee5\u90091\uff0c\u4e5f\u53ef\u4ee5\u90092\uff0c\u5230\u5e95\u54ea\u4e2a\u66f4\u7b80\u5355\u5462\uff1f\u82e5\u90092\u4e3a\u7814\u7a76\u5bf9\u8c61\uff0c\u52191\u5bf92\u7684\u6469\u64e6\u529b\u53ca3\u5bf92\u7684\u6469\u64e6\u529b\u5747\u662f\u672a\u77e5\u7684\uff0c\u65e0\u6cd5\u6c42\u89e3\uff1b\u800c\u90091\u4e3a\u7814\u7a76\u5bf9\u8c61\uff0c\u5c3d\u7ba12\u5bf91\u7684\u6469\u64e6\u529b\u53ca\u5de6\u677f\u5bf91\u7684\u6469\u64e6\u529b\u5747\u662f\u672a\u77e5\u7684\uff0c\u4f46\u5de6\u677f\u5bf91\u7684\u6469\u64e6\u529b\u53ef\u4ee5\u901a\u8fc7\u6574\u4f53\u6cd5\u6c42\u89e3\uff0c\u6545\u90091\u4e3a\u7814\u7a76\u5bf9\u8c61\u6c42\u5185\u529b\u8f83\u4e3a\u7b80\u5355\u3002<\/p>\n<p>\u5148\u7531\u6574\u4f53\u6cd5\uff084\u5757\u7816\u4f5c\u4e3a\u4e00\u4e2a\u6574\u4f53\uff09\u53ef\u5f97\u5de6\u3001\u53f3\u4e24\u677f\u5bf9\u7cfb\u7edf\u7684\u6469\u64e6\u529b\u65b9\u5411\u90fd\u7ad6\u76f4\u5411\u4e0a\uff0c\u5927\u5c0f\u5747\u4e3a4mg\/2=2mg\uff0c\u518d\u4ee51\u4e3a\u7814\u7a76\u5bf9\u8c61\u5206\u6790\uff0c\u5176\u53d7\u529b\u56fe2-2\u6240\u793a\uff08\u4e00\u5b9a\u8981\u628a\u5b83\u4ece\u5468\u56f4\u73af\u5883\u4e2d\u9694\u79bb\u5f00\u6765\uff0c\u5355\u72ec\u753b\u53d7\u529b\u56fe\uff09\uff0c1\u53d7\u7ad6\u76f4\u5411\u4e0b\u7684\u91cd\u529b\u4e3amg\uff0c\u5de6\u677f\u5bf91\u7684\u6469\u64e6\u529b<em>f<\/em><sub>\u5de6\u677f<\/sub>\u7ad6\u76f4\u5411\u4e0a\uff0c\u5927\u5c0f\u4e3a2mg\uff0c\u6545\u7531\u5e73\u8861\u6761\u4ef6\u53ef\u5f97\uff1a2\u5bf91\u7684\u6469\u64e6\u529b<em>f<\/em><sub>21<\/sub>\u7ad6\u76f4\u5411\u4e0b\uff0c\u5927\u5c0f\u4e3amg\uff0c\u7b54\u6848\u5e94\u9009C\u9879\u3002<\/p>\n<p>\u3010\u7b54\u6848\u3011C<\/p>\n<p>\u4f8b2\uff1a\u5982\u56fe2-3\u6240\u793a\uff0c\u659c\u9762\u4f53\u56fa\u5b9a\uff0c\u659c\u9762\u503e\u89d2\u4e3a<em>\u0430<\/em>\uff0c<em>A\u3001B<\/em>\u4e24\u7269\u4f53\u53e0\u653e\u5728\u4e00\u8d77\uff0c<em>A<\/em>\u7684\u4e0a\u8868\u9762\u6c34\u5e73\uff0c\u4e0d\u8ba1\u4e00\u5207\u6469\u64e6\uff0c\u5f53\u628a<em>A\u3001B<\/em>\u65e0\u521d\u901f\u5730\u4ece\u659c\u9762\u9876\u7aef\u91ca\u653e\uff0c\u82e5\u8fd0\u52a8\u8fc7\u7a0b\u4e2d<em>B<\/em>\u6ca1\u6709\u78b0\u5230\u659c\u9762\uff0c\u5219\u5173\u4e8e<em>B<\/em>\u7684\u8fd0\u52a8\u60c5\u51b5\u63cf\u8ff0\u6b63\u786e\u7684\u662f\uff08 \u00a0\u00a0\uff09<\/p>\n<p>A\u3001\u4e0e<em>A<\/em>\u4e00\u8d77\u6cbf\u659c\u9762\u52a0\u901f\u4e0b\u6ed1<\/p>\n<p>B\u3001\u4e0e<em>A<\/em>\u4e00\u8d77\u6cbf\u659c\u9762\u5300\u901f\u4e0b\u6ed1<\/p>\n<p>C\u3001\u6cbf\u7ad6\u76f4\u65b9\u5411\u5300\u901f\u4e0b\u6ed1<\/p>\n<p>D\u3001\u6cbf\u7ad6\u76f4\u65b9\u5411\u52a0\u901f\u4e0b\u6ed1<\/p>\n<p>\u3010\u5de7\u89e3\u3011\u672c\u9898\u6240\u6c42\u89e3\u7684\u662f\u7cfb\u7edf\u4e2d\u7684\u5355\u4e2a\u7269\u4f53\u7684\u8fd0\u52a8\u60c5\u51b5\uff0c\u6545\u53ef\u7528\u9694\u79bb\u6cd5\u8fdb\u884c\u5206\u6790\uff0c\u7531\u4e8e\u4e0d\u8ba1\u4e00\u5207\u6469\u64e6\uff0c\u800cA\u7684\u4e0a\u8868\u9762\u6c34\u5e73\uff0c\u6545\u6c34\u5e73\u65b9\u5411\u4e0aB\u4e0d\u53d7\u529b\u3002\u7531\u725b\u987f\u7b2c\u4e00\u5b9a\u5f8b\u53ef\u77e5\uff0cB\u5728\u6c34\u5e73\u65b9\u5411\u4e0a\u8fd0\u52a8\u72b6\u6001\u4e0d\u53d8\uff08\u9759\u6b62\uff09\uff0c\u6545\u5176\u8fd0\u52a8\u65b9\u5411\u5fc5\u5728\u7ad6\u76f4\u65b9\u5411\u4e0a\u3002\u56e0A\u52a0\u901f\u4e0b\u6ed1\uff0c\u8fd0\u52a8\u8fc7\u7a0b\u4e2dB\u6ca1\u6709\u78b0\u5230\u659c\u9762\uff08A\u3001B\u4ecd\u662f\u63a5\u89e6\u7684\uff09\uff0c\u5373A\u3001B\u5728\u7ad6\u76f4\u65b9\u5411\u4e0a\u7684\u8fd0\u52a8\u662f\u4e00\u6837\u7684\uff0c\u6545B\u6709\u7ad6\u76f4\u5411\u4e0b\u7684\u52a0\u901f\u5ea6\uff0c\u7b54\u6848D\u6b63\u786e\u3002<\/p>\n<p>\u3010\u7b54\u6848\u3011D<\/p>\n<p>\u4f8b3\uff1a\u5982\u56fe2-4\u6240\u793a\uff0c\u56fa\u5b9a\u7684\u5149\u6ed1\u659c\u9762\u4f53\u4e0a\u653e\u6709\u4e24\u4e2a\u76f8\u540c\u7684\u94a2\u7403P\u3001Q\uff0cMN\u4e3a\u7ad6\u76f4\u6321\u677f\uff0c\u521d\u72b6\u6001\u7cfb\u7edf\u9759\u6b62\uff0c\u73b0\u5c06\u6321\u677fMN\u7531\u7ad6\u76f4\u65b9\u5411\u7f13\u6162\u8f6c\u81f3\u4e0e\u659c\u9762\u5782\u76f4\u7684\u65b9\u5411\uff0c\u5219\u8be5\u8fc7\u7a0b\u4e2dP\u3001Q\u95f4\u7684\u538b\u529b\u53d8\u5316\u60c5\u51b5\u662f\uff08 \u00a0\u00a0\uff09<\/p>\n<p>A\u3001\u4e00\u76f4\u589e\u5927 B\u3001\u4e00\u76f4\u51cf\u5c0f C\u3001\u5148\u589e\u5927\u540e\u51cf\u5c0f D\u3001\u4e00\u76f4\u4e0d\u53d8<\/p>\n<p>\u3010\u5de7\u89e3\u3011\u672c\u9898\u6240\u6c42\u89e3\u7684\u662f\u7cfb\u7edf\u5185\u529b\uff0c\u53ef\u7528\u9694\u79bb\u6cd5\u6765\u5206\u6790\uff0c\u7814\u7a76\u5bf9\u8c61\u53ef\u4ee5\u9009P\uff0c\u4e5f\u53ef\u4ee5\u9009Q\uff0c\u5230\u5e95\u9009\u54ea\u4e2a\u66f4\u7b80\u5355\u5462\uff1f\u5f53\u7136\u9009P\u8981\u7b80\u5355\u4e9b\uff0c\u56e0\u4e3aP\u53d7\u529b\u4e2a\u6570\u5c11\uff0cP\u53d7\u5230\u91cd\u529b\u3001\u659c\u9762\u7684\u652f\u6301\u529bN<sub>\u659c<\/sub>\uff08\u5782\u76f4\u659c\u9762\u5411\u4e0a\uff09\u548cQ\u7684\u652f\u6301\u529bN<sub>Q<\/sub>\uff08\u6cbf\u659c\u9762\u659c\u5411\u4e0a\uff09\u5171\u4e09\u4e2a\u529b\u4f5c\u7528\uff0c\u7531\u5e73\u8861\u6761\u4ef6\u53ef\u77e5\uff0c\u8fd9\u4e09\u4e2a\u529b\u7684\u5408\u529b\u4e3a\u96f6\uff0c\u5373\u91cd\u529b\u6cbfN<sub>\u659c<\/sub>\uff0cN<sub>Q<\/sub>\u53cd\u65b9\u5411\u7684\u5206\u529b\u5206\u522b\u4e0eN<sub>\u8015<\/sub>\u3001N<sub>Q<\/sub>\u7684\u5927\u5c0f\u76f8\u7b49\uff0c\u5728\u8f6c\u52a8\u6321\u677f\u8fc7\u7a0b\u4e2d\uff0c\u91cd\u529b\u7684\u5927\u5c0f\u53ca\u65b9\u5411\u90fd\u4e0d\u53d8\uff0c\u800cN<sub>\u8015<\/sub>\u3001N<sub>Q<\/sub>\u7684\u65b9\u5411\u4e5f\u90fd\u4e0d\u53d8\uff0c\u5373\u5206\u89e3\u91cd\u529b\u7684\u4e24\u4e2a\u65b9\u5411\u662f\u4e0d\u53d8\u7684\uff0c\u6545\u5206\u529b\u4e5f\u4e0d\u53d8\uff0c\u6545D\u9009\u9879\u6b63\u786e<\/p>\n<p>\u3010\u7b54\u6848\u3011D<\/p>\n<p>\u4f8b4\uff1a\u5982\u56fe2-5\u6240\u793a\uff0c\u4eba\u91cdG<sub>1<\/sub>=600N\uff0c\u6728\u677f\u91cdG<sub>2<\/sub>=400N\uff0c\u4eba\u4e0e\u6728\u677f\u3001\u6728\u677f\u4e0e\u5730\u9762\u95f4\u6ed1\u52a8\u6469\u64e6\u56e0\u6570\u5747\u4e3a<em>\u03bc<\/em>=0.2\uff0c\u73b0\u5728\u4eba\u7528\u6c34\u5e73\u529bF\u62c9\u7ef3\uff0c\u4f7f\u4ed6\u4eec\u6728\u677f\u4e00\u8d77\u5411\u53f3\u5300\u901f\u52a8\u52a8\uff0c\u5219\uff08 \u00a0\u00a0\uff09<\/p>\n<p>A\u3001\u4eba\u62c9\u7ef3\u7684\u529b\u662f200N<\/p>\n<p>B\u3001\u4eba\u7684\u811a\u7ed9\u6728\u677f\u7684\u6469\u64e6\u529b\u5411\u53f3<\/p>\n<p>C\u3001\u4eba\u62c9\u7ef3\u7684\u529b\u662f100N<\/p>\n<p>D\u3001\u4eba\u7684\u811a\u7ed9\u6728\u677f\u7684\u6469\u64e6\u529b\u5411\u5de6<\/p>\n<p>\u3010\u5de7\u89e3\u3011\u6c42\u89e3\u4eba\u4e0e\u677f\u95f4\u7684\u6469\u64e6\u529b\u65b9\u5411\uff0c\u5c5e\u6c42\u5185\u529b\uff0c\u987b\u7528\u9694\u79bb\u6cd5\uff0c\u7814\u7a76\u5bf9\u8c61\u53ef\u9009\u4eba\uff0c\u4e5f\u53ef\u4ee5\u9009\u677f\uff0c\u5230\u5e95\u9009\u54ea\u4e2a\u66f4\u7b80\u5355\u5462\uff1f\u5f53\u7136\u9009\u4eba\u8981\u7b80\u5355\u4e9b\uff0c\u56e0\u4e3a\u4eba\u53d7\u529b\u4e2a\u6570\u5c11\uff0c\u4ee5\u4eba\u4e3a\u7814\u7a76\u5bf9\u8c61\uff0c\u4eba\u5728\u6c34\u5e73\u65b9\u5411\u4e0a\u53ea\u53d7\u7ef3\u7684\u62c9\u529b\uff08\u6c34\u5e73\u5411\u53f3\uff09\u548c\u677f\u5bf9\u4eba\u7684\u6469\u64e6\u529b\u4e24\u4e2a\u529b\u4f5c\u7528\uff0c\u5c5e\u4e8c\u529b\u5e73\u8861\uff0c\u6545\u677f\u5bf9\u4eba\u7684\u6469\u64e6\u529b\u5411\u5de6\uff0c\u7531\u725b\u987f\u7b2c\u4e09\u5b9a\u5f8b\u53ef\u77e5\uff0c\u4eba\u7684\u811a\u7ed9\u6728\u677f\u7684\u6469\u64e6\u529b\u5411\u53f3\uff0cB\u3001D\u4e24\u4e2a\u9009\u9879\u4e2dB\u9009\u9879\u6b63\u786e\u3002<\/p>\n<p>\u7ef3\u7684\u62c9\u529b\u5c5e\u5916\u529b\uff0c\u53ef\u7528\u6574\u4f53\u6cd5\u6765\u6c42\u89e3\uff0c\u4eba\u4e0e\u677f\u76f8\u5bf9\u5730\u5411\u53f3\u8fd0\u52a8\uff0c\u6ed1\u52a8\u6469\u64e6\u529b\u6c34\u5e73\u5411\u5de6\uff0c\u800c\u5176\u5927\u5c0f\u4e3a\uff1b\u4eba\u4e0e\u677f\u7cfb\u7edf\u6c34\u5e73\u5411\u53f3\u53d7\u5230\u4e24\u4e2a\u62c9\u529b\uff0c\u6545\u7531\u5e73\u8861\u6761\u4ef6\u53ef\u5f97\uff1a2T=<em>f<\/em>\uff0c\u6545T=100N\uff0c\u7b54\u6848C\u9009\u9879\u6b63\u786e\u3002<\/p>\n<p>\u3010\u7b54\u6848\u3011B\u3001C<\/p>\n<p>\u5de7\u7ec31\uff1a\u5982\u56fe2-6\u6240\u793a\uff0c\u534a\u5f84\u4e3aR\u7684\u5149\u6ed1\u7403\uff0c\u91cd\u4e3aG\uff0c\u5149\u6ed1\u6728\u5757\u539a\u4e3ah\uff0c\u91cd\u4e3aG<sub>1<\/sub>\uff0c\u7528\u81f3\u5c11\u591a\u5927\u7684\u6c34\u5e73F\u63a8\u6728\u5757\u624d\u80fd\u4f7f\u7403\u79bb\u5f00\u5730\u9762\uff1f<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u5de7\u7ec32\uff1a\u5982\u56fe2-7\u6240\u793a\uff0cA\u3001B\u4e24\u7269\u4f53\u53e0\u653e\u5728\u8f6c\u53f0\u4e0a\uff08A\u5728\u4e0a\uff0cB\u5728\u4e0b\uff09\uff0c\u5e76\u968f\u8f6c\u53f0\u4e00\u8d77\u5300\u901f\u8fd0\u52a8\uff0c\u5219\u5173\u4e8eA\u5bf9B\u7684\u6469\u64e6\u529b\u7684\u5224\u65ad\u6b63\u786e\u7684\u662f\uff08 \u00a0\u00a0\u00a0\uff09<\/p>\n<p>A\u3001A\u5bf9B\u6ca1\u6709\u6469\u64e6\u529b<\/p>\n<p>B\u3001A\u5bf9B\u6709\u6469\u64e6\u529b\uff0c\u65b9\u5411\u65f6\u523b\u4e0e\u7ebf\u901f\u5ea6\u65b9\u5411\u76f8\u53cd<\/p>\n<p>C\u3001A\u5bf9B\u6709\u6469\u64e6\u529b\uff0c\u65b9\u5411\u65f6\u523b\u6307\u5411\u8f6c\u8f74<\/p>\n<p>D\u3001A\u5bf9B\u6709\u6469\u64e6\u529b\uff0c\u65b9\u5411\u65f6\u523b\u80cc\u79bb\u8f6c\u8f74<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>\u4e09\u3001\u529b\u7684\u5408\u6210\u6cd5<\/strong><\/p>\n<p>\u4e00\u4e2a\u529b\u5982\u679c\u4ea7\u751f\u7684\u6548\u679c\u4e0e\u51e0\u4e2a\u529b\u5171\u540c\u4f5c\u7528\u6240\u4ea7\u751f\u7684\u6548\u679c\u76f8\u540c\uff0c\u8fd9\u4e2a\u529b\u5c31\u53eb\u505a\u90a3\u51e0\u4e2a\u7684\u5408\u529b\uff0c\u800c\u90a3\u51e0\u4e2a\u529b\u5c31\u53eb\u505a\u8fd9\u4e2a\u529b\u7684\u5206\u529b\uff0c\u6c42\u51e0\u4e2a\u529b\u7684\u5408\u529b\u53eb\u529b\u7684\u5408\u6210\u3002<\/p>\n<p>\u529b\u7684\u5408\u6210\u9075\u5faa\u5e73\u884c\u56db\u8fb9\u5f62\u6cd5\u5219\uff0c\u5982\u6c42\u4e24\u4e2a\u4e92\u6210\u89d2\u5ea6\u7684\u5171\u70b9\u529bF<sub>1<\/sub>\u3001F<sub>2<\/sub>\u7684\u5408\u529b\uff0c\u53ef\u4ee5\u628a\u8868\u793aF<sub>1<\/sub>\u3001F<sub>2<\/sub>\u7684\u6709\u5411\u7ebf\u6bb5\u4f5c\u4e3a\u90bb\u8fb9\uff0c\u4f5c\u4e00\u5e73\u884c\u56db\u8fb9\u5f62\uff0c\u5b83\u7684\u5bf9\u89d2\u7ebf\u5373\u8868\u793a\u5408\u529b\u5927\u5c0f\u548c\u65b9\u5411\u3002<\/p>\n<p>\u5171\u70b9\u7684\u4e24\u4e2a\u529bF<sub>1<\/sub>\u3001F<sub>2<\/sub>\u7684\u5408\u529bF\u7684\u5927\u5c0f\uff0c\u4e0e\u4e24\u8005\u7684\u5939\u89d2\u6709\u5173\uff0c\u4e24\u4e2a\u5206\u529b\u540c\u5411\u65f6\u5408\u529b\u6700\u5927\uff0c\u53cd\u5411\u65f6\u5408\u529b\u6700\u5c0f\uff0c\u5373\u5408\u529b\u53d6\u503c\u8303\u56f4\u529b\u2502F<sub>1<\/sub>-F<sub>2<\/sub>\u2502\u2264\u2502F<sub>1<\/sub>+F<sub>2<\/sub>\u2502<\/p>\n<p>\u5408\u529b\u53ef\u4ee5\u5927\u4e8e\u7b49\u4e8e\u4e24\u529b\u4e2d\u7684\u4efb\u4e00\u4e2a\u529b\uff0c\u4e5f\u53ef\u4ee5\u5c0f\u4e8e\u4efb\u4e00\u4e2a\u529b\uff0c\u5f53\u4e24\u529b\u5927\u5c0f\u4e00\u5b9a\u65f6\uff0c\u5408\u529b\u968f\u4e24\u529b\u5939\u89d2\u7684\u589e\u5927\u800c\u51cf\u5c0f\uff0c\u968f\u4e24\u529b\u5939\u89d2\u7684\u51cf\u5c0f\u800c\u589e\u5927\u3002<\/p>\n<p>\u5982\u679c\u4e00\u4e2a\u7269\u4f53A\u5bf9\u53e6\u4e00\u4e2a\u7269\u4f53B\u6709\u4e24\u4e2a\u529b\u4f5c\u7528\uff0c\u5f53\u6c42\u89e3A\u5bf9B\u7684\u4f5c\u7528\u529b\u65f6\uff0c\u901a\u5e38\u7528\u529b\u7684\u5408\u6210\u6cd5\u6765\u6c42\u89e3\u3002<\/p>\n<p>\u4f8b1\uff1a\u6c34\u5e73\u6a2a\u6881\u7684\u4e00\u7aefA\u63d2\u5728\u5899\u58c1\u5185\uff0c\u53e6\u4e00\u7aef\u88c5\u6709\u4e00\u5c0f\u6ed1\u8f6eB\uff0c\u4e00\u8f7b\u7ef3\u7684\u4e00\u7aefC\u56fa\u5b9a\u4e8e\u5899\u58c1\u4e0a\uff0c\u53e6\u4e00\u7aef\u8de8\u8fc7\u6ed1\u8f6e\u540e\u60ac\u6302\u4e00\u8d28\u91cfm=10kg\u7684\u91cd\u7269\uff0c\u2220CBA=30\u00b0\uff0c\u5982\u56fe3-1\u6240\u793a\uff0c\u5219\u6ed1\u8f6e\u53d7\u5230\u7ef3\u5b50\u7684\u4f5c\u7528\u529b\u5927\u5c0f\u4e3a\uff08g\u53d610m\/s<sup>2<\/sup>\uff09\uff08 \u00a0\u00a0\u00a0\uff09<\/p>\n<p>A\u300150N B\u3001 C\u3001100N D\u3001<\/p>\n<p>\u3010\u5de7\u89e3\u3011\u7ef3\u5b50\u5bf9\u6ed1\u8f6e\u6709\u4e24\u4e2a\u529b\u7684\u4f5c\u7528\uff0c\u5373\u7ef3\u5b50BC\u6709\u659c\u5411\u4e0a\u7684\u62c9\u529b\uff0c\u7ef3\u5b50BD\u6709\u7ad6\u76f4\u5411\u4e0b\u7684\u62c9\u529b\uff0c\u6545\u672c\u9898\u6240\u6c42\u7684\u4f5c\u7528\u529b\u5e94\u8be5\u4e3a\u4ee5\u4e0a\u8fd9\u4e24\u4e2a\u529b\u7684\u5408\u529b\uff0c\u53ef\u7528\u529b\u7684\u5408\u6210\u6cd5\u6c42\u89e3\u3002<\/p>\n<p>\u56e0\u540c\u4e00\u6839\u7ef3\u5f20\u529b\u5904\u5904\u76f8\u7b49\uff0c\u90fd\u7b49\u4e8e\u7269\u4f53\u7684\u91cd\u529b\uff0c\u5373T<sub>BC<\/sub>=T<sub>BD<\/sub>=mg=100N\uff0c\u800c\u8fd9\u4e24\u4e2a\u529b\u7684\u5939\u89d2\u53c8\u662f\u7279\u6b8a\u89d2120\u00b0\uff0c\u7528\u5e73\u884c\u56db\u8fb9\u5f62\u5b9a\u5219\u4f5c\u56fe\uff0c\u53ef\u77e5\u5408\u529bF<sub>\u5408<\/sub>=100N\uff0c\u6240\u4ee5\u6ed1\u8f6e\u53d7\u7ef3\u7684\u4f5c\u7528\u529b\u4e3a100N\uff0c\u65b9\u5411\u4e0e\u6c34\u5e73\u65b9\u5411\u621030\u00b0\u89d2\u659c\u5411\u4e0b\u3002<\/p>\n<p>\u3010\u7b54\u6848\u3011C<\/p>\n<p>\u4f8b2\uff1a\u5982\u56fe3-2\u6240\u793a\uff0c\u4e00\u8d28\u91cf\u4e3am\u7684\u7269\u5757\uff0c\u6cbf\u56fa\u5b9a\u659c\u9762\u5300\u901f\u4e0b\u6ed1\uff0c\u659c\u9762\u7684\u503e\u89d2\u4e3a\uff0c\u7269\u4f53\u4e0e\u659c\u9762\u95f4\u7684\u52a8\u6469\u64e6\u56e0\u6570\u4e3a<em>\u03bc<\/em>\uff0c\u5219\u659c\u9762\u5bf9\u7269\u5757\u7684\u4f5c\u7528\u529b\u5927\u5c0f\u53ca\u65b9\u5411\u4f9d\u6b21\u4e3a\uff08 \u00a0\u00a0\u00a0\uff09<\/p>\n<p>A\u3001\uff0c\u6cbf\u659c\u9762\u5411\u4e0b B\u3001\uff0c\u6cbf\u659c\u9762\u5411\u4e0a<\/p>\n<p>C\u3001\uff0c\u5782\u76f4\u659c\u9762\u5411\u4e0b D\u3001<em>mg<\/em>\uff0c\u7ad6\u76f4\u5411\u4e0a<\/p>\n<p>\u3010\u5de7\u89e3\u3011\u659c\u9762\u5bf9\u7269\u5757\u6709\u4e24\u4e2a\u529b\u7684\u4f5c\u7528\uff0c\u4e00\u4e2a\u662f\u6cbf\u5782\u76f4\u659c\u9762\u5411\u4e0a\u652f\u6301\u529bN\uff0c\u53e6\u4e00\u4e2a\u662f\u6cbf\u659c\u9762\u5411\u4e0a\u7684\u6469\u64e6\u529b<em>f<\/em>\uff0c\u6545\u672c\u9898\u6240\u6c42\u7684\u4f5c\u7528\u529b\u5e94\u8be5\u4e3a\u4ee5\u4e0a\u8fd9\u4e24\u4e2a\u529b\u7684\u5408\u529b\uff0c\u53ef\u7528\u529b\u7684\u5408\u6210\u6cd5\u6c42\u89e3\u3002<\/p>\n<p>\u7269\u5757\u5171\u53d7\u4e09\u4e2a\u529b\u4f5c\u7528\uff1a\u91cd\u529bmg\u3001\u652f\u6301\u529bN\u3001\u6469\u64e6\u529bf\uff1b\u7531\u5e73\u8861\u6761\u4ef6\u53ef\u77e5\uff0c\u8fd9\u4e09\u4e2a\u529b\u7684\u5408\u529b\u4e3a0\uff0c\u5373\u652f\u6301\u529bN\u3001\u6469\u64e6\u529b<em>f<\/em>\u7684\u5408\u529b\u91cd\u529bmg\u7b49\u5927\u53cd\u5411\uff0c\u6545\u7b54\u6848D\u9009\u9879\u6b63\u786e<\/p>\n<p>\u3010\u7b54\u6848\u3011D<\/p>\n<p>\u4f8b3\uff1a\u5982\u56fe3-3\u6240\u793a\uff0c\u5730\u9762\u4e0a\u653e\u5728\u4e00\u4e2a\u8d28\u91cf\u4e3am\u7684\u7269\u5757\uff0c\u73b0\u6709\u659c\u5411\u4e0a\u7684\u529bF\u62c9\u7269\u5757\uff0c\u7269\u5757\u4ecd\u5904\u4e8e\u9759\u6b62\u72b6\u6001\uff0c\u5219\u62c9\u529bF\u4e0e\u7269\u4f53\u6240\u53d7\u5230\u6469\u64e6\u529b<em>f<\/em>\u7684\u5408\u529b\u65b9\u5411\u4e3a\uff08 \u00a0\u00a0\u00a0\uff09<\/p>\n<p>A\u3001\u659c\u5411\u5de6\u4e0a B\u3001\u659c\u5411\u53f3\u4e0a<\/p>\n<p>C\u3001\u7ad6\u76f4\u5411\u4e0a D\u3001\u6761\u4ef6\u4e0d\u8db3\uff0c\u65e0\u6cd5\u5224\u65ad<\/p>\n<p>\u3010\u5de7\u89e3\u3011\u7269\u5757\u5171\u53d7\u56db\u4e2a\u529b\u4f5c\u7528\uff0c\u91cd\u529bG\u3001\u62c9\u529bF\u3001\u6469\u64e6\u529b<em>f<\/em>\u4ee5\u53ca\u652f\u6301\u529bN\uff0c\u5176\u53d7\u529b\u56fe\u5982\u56fe3-4\u6240\u793a\uff0c\u6211\u4eec\u53ef\u4ee5\u7528\u529b\u7684\u5408\u6210\u6cd5\uff0c\u628a\u56db\u529b\u5e73\u8861\u8f6c\u5316\u6210\u4e8c\u529b\u5e73\u8861\uff1a\u5373F\u4e0e<em>f<\/em>\u5408\u6210\uff0cG\u4e0eN\u5408\u6210\uff0cG\u4e0eN\u7684\u5408\u529b\u4e00\u5b9a\u7ad6\u76f4\u5411\u4e0b\uff0c\u6545F\u4e0ef\u7684\u5408\u529b\u4e00\u5b9a\u7ad6\u76f4\u5411\u4e0a\uff0c\u6545\u7b54\u6848C\u6b63\u786e\u3002<\/p>\n<p>\u3010\u7b54\u6848\u3011C<\/p>\n<p>\u5de7\u7ec31\uff1a\u5982\u56fe3-5\u6240\u793a\uff0cA\u3001B\u4e24\u5c0f\u7403\u7a7f\u5728\u6c34\u5e73\u653e\u7f6e\u7684\u7ec6\u6746\u4e0a\uff0c\u76f8\u8ddd\u4e3ad\uff0c\u4e24\u5c0f\u7403\u5404\u7528\u4e00\u6839\u957f\u4e5f\u662fd\u7684\u7ec6\u7ef3\u8fde\u63a5\u5c0f\u7403C\uff0c\u4e09\u4e2a\u5c0f\u7403\u7684\u8d28\u91cf\u5747\u4e3am\uff0c\u6574\u4e2a\u7cfb\u7edf\u5904\u4e8e\u9759\u6b62\u72b6\u6001\uff0c\u800c\u6746\u5bf9\u5c0f\u7403A\u7684\u4f5c\u7528\u529b\u5927\u5c0f\u662f\uff08 \u00a0\u00a0\u00a0\uff09<\/p>\n<p>A\u30011.5mg B\u3001mg C\u3001 D\u3001<\/p>\n<p>\u5de7\u7ec32\uff1a\u5982\u56fe3-6\u6240\u793a\uff0c\u5728\u503e\u89d2\u4e3a=30\u00b0\u7684\u7c97\u7cd9\u659c\u9762\u4e0a\u653e\u6709\u4e00\u91cd\u4e3aG\u7684\u7269\u4f53\uff0c\u73b0\u7528\u4e0e\u659c\u9762\u5e95\u8fb9\u5e73\u884c\u7684\u529bF=G\/2\u63a8\u7269\u4f53\uff0c\u7269\u4f53\u6070\u80fd\u6cbf\u659c\u9762\u4f5c\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8\uff0c\u5219\u7269\u4f53\u4e0e\u659c\u9762\u95f4\u7684\u52a8\u6469\u64e6\u56e0\u6570\u4e3a\uff08 \u00a0\u00a0\uff09<\/p>\n<p>A\u30010.5 B\u30010.2 C\u3001 D\u3001<\/p>\n<p>&nbsp;<\/p>\n<p><strong>\u56db\u3001\u529b\u7684\u5206\u89e3\u6cd5<\/strong><\/p>\n<p>\u7531\u4e00\u4e2a\u5df2\u7ecf\u529b\u6c42\u89e3\u5b83\u7684\u5206\u529b\u53eb\u529b\u7684\u5206\u89e3\uff0c\u529b\u7684\u5206\u89e3\u662f\u529b\u7684\u5408\u6210\u7684\u9006\u8fc7\u7a0b\uff0c\u4e5f\u540c\u6837\u9075\u5faa\u5e73\u884c\u56db\u8fb9\u5f62\u6cd5\u5219\uff0c\u7531\u5e73\u884c\u56db\u8fb9\u5f62\u5219\u53ef\u77e5\uff0c\u529b\u7684\u5408\u6210\u662f\u60df\u4e00\u7684\uff0c\u800c\u529b\u7684\u5206\u89e3\u5219\u53ef\u80fd\u591a\u89e3\uff0c\u4f46\u5728\u5904\u7406\u5b9e\u9645\u95ee\u9898\u65f6\uff0c\u529b\u7684\u5206\u89e3\u5fc5\u987b\u4f9d\u636e\u529b\u7684\u4f5c\u7528\u6548\u679c\u6765\u8fdb\u884c\u7684\uff0c\u7b54\u6848\u540c\u6837\u662f\u60df\u4e00\u7684\u3002<\/p>\n<p>\u5229\u7528\u529b\u7684\u5206\u89e3\u6cd5\u89e3\u9898\u65f6\uff0c\u5148\u627e\u5230\u8981\u5206\u89e3\u7684\u529b\uff0c\u518d\u627e\u8fd9\u4e2a\u529b\u7684\u4f5c\u7528\u6548\u679c\uff0c\u6839\u636e\u4f5c\u7528\u6548\u679c\u786e\u5b9a\u4e24\u4e2a\u5206\u529b\u7684\u65b9\u5411\uff0c\u7136\u540e\u7528\u5e73\u884c\u56db\u8fb9\u5f62\u5b9a\u5219\u6c42\u8fd9\u4e24\u4e2a\u90e8\u5206\u3002<\/p>\n<p>\u4f8b1\uff1a\u5200\u3001\u65a7\u3001\u5228\u7b49\u5207\u524a\u5de5\u5177\u90fd\u53eb\u5288\uff0c\u5288\u7684\u622a\u9762\u662f\u4e00\u4e2a\u4e09\u89d2\u5f62\uff0c\u5982\u56fe4-1\u6240\u793a\uff0c\u8bbe\u5288\u7684\u9762\u662f\u4e00\u4e2a\u7b49\u8170\u4e09\u89d2\u5f62\uff0c\u5288\u80cc\u7684\u5bbd\u5ea6\u662fd\uff0c\u5288\u7684\u4fa7\u9762\u7684\u957f\u5ea6\u662fL\u4f7f\u7528\u5288\u7684\u65f6\u5019\uff0c\u5728\u5288\u80cc\u4e0a\u52a0\u529bF\uff0c\u5219\u5288\u7684\u4e24\u4fa7\u9762\u5bf9\u7269\u4f53\u7684\u538b\u529bF<sub>1<\/sub>\u3001F<sub>2<\/sub>\u4e3a\uff08 \u00a0\u00a0\u00a0\uff09<\/p>\n<p>A\u3001F<sub>1<\/sub>=F<sub>2<\/sub>=F B\u3001F<sub>1<\/sub>=F<sub>2<\/sub>=\uff08L\/d\uff09F C\u3001F<sub>1<\/sub>=F<sub>2<\/sub>=\uff08d\/L\uff09F D\u3001\u4ee5\u4e0a\u7b54\u6848\u90fd\u4e0d\u5bf9<\/p>\n<p>\u3010\u5de7\u89e3\u3011\u7531\u4e8eF\u7684\u4f5c\u7528\uff0c\u4f7f\u5f97\u5288\u6709\u6cbf\u5782\u76f4\u4fa7\u9762\u5411\u5916\u6324\u538b\u4e0e\u4e4b\u63a5\u89e6\u7269\u4f53\u7684\u6548\u679c\uff0c\u6545\u6240\u6c42\u7684F<sub>1<\/sub>\u3001F<sub>2<\/sub>\u5927\u5c0f\u7b49\u4e8eF\u7684\u4e24\u4e2a\u5206\u529b\uff0c\u53ef\u7528\u529b\u7684\u5206\u89e3\u6cd5\u6c42\u89e3\u3002\u5982\u56fe4-2\u6240\u793a\uff0c\u5c06F\u5206\u89e3\u4e3a\u4e24\u4e2a\u5782\u76f4\u4e8e\u4fa7\u9762\u5411\u4e0b\u7684\u529bF<sub>1<\/sub>\u2032\u3001F<sub>2<\/sub>\u2032\uff0c\u7531\u5bf9\u79f0\u6027\u53ef\u77e5\uff0cF<sub>1<\/sub>\u2032=F<sub>2<\/sub>\u2032\uff0c\u6839\u636e\u529b\u7684\u77e2\u91cf\u4e09\u89d2\u5f62\u25b3OFF<sub>1<\/sub>\u4e0e\u51e0\u4f55\u4e09\u89d2\u5f62\u25b3CAB\u76f8\u4f3c\uff0c\u6545\u53ef\u5f97\uff1aF<sub>1<\/sub>\u2032\/L=F\/d\uff0c\u6240\u4ee5F<sub>1<\/sub>\u2032=F<sub>2<\/sub>\u2032=LF\/d\uff0c\u7531\u4e8eF<sub>1<\/sub>= F<sub>1<\/sub>\u2032\uff0c F<sub>2<\/sub>= F<sub>2<\/sub>\u2032\u6545F<sub>1<\/sub>=F<sub>2<\/sub>=\uff08d\/L\uff09F\u3002<\/p>\n<p>\u3010\u7b54\u6848\u3011<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u4f8b2\uff1a\u5982\u56fe4-3\u6240\u793a\uff0c\u4e24\u5b8c\u5168\u76f8\u540c\u7684\u5c0f\u7403\u5728\u6321\u677f\u4f5c\u7528\u4e0b\u9759\u6b62\u5728\u503e\u89d2\u4e3a\u7684\u5149\u6ed1\u659c\u9762\u4e0a\uff0c\u7532\u56fe\u4e2d\u6321\u677f\u4e3a\u7ad6\u76f4\u65b9\u5411\uff0c\u4e59\u56fe\u4e2d\u6321\u677f\u4e0e\u659c\u9762\u5782\u76f4\uff0c\u5219\u7532\u3001\u4e59\u4e24\u79cd\u60c5\u51b5\u4e0b\u5c0f\u7403\u5bf9\u659c\u9762\u7684\u538b\u529b\u4e4b\u6bd4\u662f\uff08 \u00a0\u00a0\u00a0\uff09<\/p>\n<p>A\u30011\uff1a1 B\u30011\uff1a C\u30011\uff1a D\u30011\uff1a<\/p>\n<p>\u3010\u5de7\u89e3\u3011\u7531\u4e8e\u5c0f\u7403\u91cd\u529bG\u7684\u4f5c\u7528\uff0c\u4f7f\u5f97\u5c0f\u7403\u6709\u6cbf\u5782\u76f4\u4fa7\u9762\u5411\u4e0b\u6324\u538b\u659c\u9762\u53ca\u6cbf\u5782\u76f4\u6321\u677f\u65b9\u5411\u6324\u538b\u6321\u677f\u7684\u6548\u679c\uff0c\u6545\u6240\u6c42\u7684\u5c0f\u7403\u5bf9\u659c\u9762\u538b\u529b\u5927\u5c0f\u7b49\u4e8e\u91cd\u529bG\u6cbf\u5782\u76f4\u659c\u9762\u65b9\u5411\u7684\u5206\u529b\uff0c\u53ef\u7528\u529b\u7684\u5206\u89e3\u6cd5\u6c42\u89e3\uff0c\u5982\u56fe\u6240\u6c42\uff0c\u7532\u60c5\u51b5\u4e0b\u5c06G\u5206\u89e3G<sub>2<\/sub>\uff0c\u4e59\u60c5\u51b5\u4e0b\u5c06G\u5206\u89e3G<sub>2<\/sub>\u2032\uff0c\u6240\u6c42\u538b\u529b\u4e4b\u6bd4\u5373\u4e3aG<sub>1<\/sub>\uff1aG<sub>1<\/sub>\u2032\uff0c\u800cG<sub>1<\/sub>=G\/\uff0cG<sub>1<\/sub>\u2032=G\uff0c\u6545\u53ef\u5f97\u538b\u529b\u4e4b\u6bd4G<sub>1<\/sub>\uff1aG<sub>1<\/sub>\u2032=1\uff1a\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u3010\u7b54\u6848\u3011B<\/p>\n<p>\u4f8b3\uff1a\u5982\u56fe4-4\u6240\u793a\uff0c\u7528\u4e24\u6839\u8f7b\u7ef3\u5c06\u8d28\u91cf\u4e3am\u7684\u7269\u5757\u60ac\u6302\u5728\u7a7a\u4e2d\uff0c\u5df2\u77e5ac\u548cbc\u4e0e\u7ad6\u76f4\u65b9\u5411\u7684\u5939\u89d2\u5206\u522b\u4e3a30\u00b0\u548c60\u00b0\uff0c\u5219ac\u7ef3\u548cbc\u7ef3\u4e2d\u62c9\u5206\u522b\u4e3a\uff08 \u00a0\u00a0\u00a0\uff09<\/p>\n<p>A\u3001 B\u3001<\/p>\n<p>C\u3001 D\u3001<\/p>\n<p>\u3010\u5de7\u89e3\u3011\u7531\u4e8e\u5c0f\u7403\u91cd\u529b<em>G<\/em>\u7684\u4f5c\u7528\uff0c\u4f7f\u5f97\u5c0f\u7403\u6709\u6cbf\u4e24\u7ef3\u65b9\u5411\u659c\u5411\u4e0b\u62c9\u7d27\u7ef3\u7684\u6548\u679c\uff0c\u6545\u4e24\u7ef3\u7684\u62c9\u529b\u5927\u5c0f\u7b49\u4e8e\u91cd\u529b\u7684\u4e24\u4e2a\u5206\u529b\uff0c\u529b\u7684\u5206\u89e3\u56fe\u5982\u4e0a\u6240\u793a\uff0c\u7531\u51e0\u4f55\u77e5\u8bc6\u53ef\u5f97\uff1a<em>T<\/em><em><sub>ac<\/sub><\/em><em>=G<\/em><em><sub>1<\/sub><\/em><em>=mgcos30\u00b0,T<\/em><em><sub>bc<\/sub><\/em><em>=G<\/em><em><sub>2<\/sub><\/em><em>=mgcos60\u00b0\u3002<\/em><\/p>\n<p>\u3010\u7b54\u6848\u3011A<\/p>\n<p>\u4f8b4\uff1a\u5982\u56fe4-5\u6240\u793a\uff0c\u5c0f\u8f66\u4e0a\u56fa\u5b9a\u7740\u4e00\u6839\u5f2f\u6210\u89d2\u7684\u66f2\u6746\uff0c\u6746\u7684\u53e6\u4e00\u7aef\u56fa\u5b9a\u4e00\u4e2a\u8d28\u91cf\u4e3am\u7684\u7403\uff0c\u5c0f\u8f66\u4ee5\u52a0\u901f\u5ea6a\u6c34\u5e73\u5411\u53f3\u8fd0\u52a8\uff0c\u5219\u6746\u5bf9\u7403\u7684\u5f39\u529b\u5927\u5c0f\u53ca\u65b9\u5411\u662f\uff08 \u00a0\u00a0\u00a0\uff09<\/p>\n<p>A\u3001mg\uff0c\u7ad6\u76f4\u5411\u4e0a B\u3001\uff0c\u6cbf\u6746\u5411\u4e0a<\/p>\n<p>C\u3001ma\uff0c\u6c34\u5e73\u5411\u53f3 \u00a0\u00a0\u00a0\u00a0D\u3001\uff0c\u4e0e\u6c34\u5e73\u65b9\u5411\u6210arctan\u89d2\u659c\u5411\u4e0a<\/p>\n<p>\u3010\u5de7\u89e3\u3011\u672c\u9898\u4e2d\uff0c\u5c0f\u7403\u53ea\u53d7\u91cd\u529bmg\u548c\u6746\u5bf9\u7403\u7684\u5f39\u529bN\u4e24\u4e2a\u529b\u4f5c\u7528\uff0c\u6746\u5bf9\u7403\u7684\u5f39\u529bN\u6709\u4e24\u4e2a\u4f5c\u7528\u6548\u679c\uff1b\u7ad6\u76f4\u5411\u4e0a\u62c9\u5c0f\u7403\u53ca\u6c34\u5e73\u5411\u53f3\u62c9\u5c0f\u7403\uff0c\u56e0\u4e24\u4e2a\u4f5c\u7528\u6548\u679c\u662f\u660e\u786e\u7684\uff0c\u6545\u53ef\u7528\u529b\u7684\u5206\u89e3\u6cd5\u6765\u6c42\u89e3\u3002<\/p>\n<p>\u6746\u7ad6\u76f4\u5411\u4e0a\u62c9\u5c0f\u7403\uff0c\u4f7f\u5c0f\u7403\u5728\u7ad6\u76f4\u65b9\u5411\u4e0a\u4fdd\u6301\u5e73\u8861\uff0c\u6545\u7ad6\u76f4\u5411\u4e0a\u7684\u5206\u529b<em>N<\/em><sub>1<\/sub>=<em>mg<\/em>\uff1b\u6746\u6c34\u5e73\u5411\u53f3\u62c9\u5c0f\u7403\uff0c\u4f7f\u5c0f\u7403\u83b7\u5f97\u5411\u53f3\u7684\u52a0\u901f\u5ea6\uff0c\u6545\u6c34\u5e73\u5411\u53f3\u7684\u5206\u529b<em>N<\/em><em><sub>2<\/sub><\/em><em>=ma<\/em>\uff0c\u7531\u51e0\u4f55\u77e5\u8bc6\u53ef\u77e5\u6746\u5bf9\u7403\u7684\u5f39\u529b\u4e0e\u6c34\u5e73\u65b9\u5411\u7684\u5939\u89d2\u4e3a<em>arc<\/em>tan=<em>arc<\/em>tan\uff0c\u6545\u7b54\u6848D\u9009\u9879\u6b63\u786e\u3002<\/p>\n<p>\u3010\u7b54\u6848\u3011D<\/p>\n<p>\u5de7\u7ec31\uff1a\u5982\u56fe4-6\u6240\u793a\uff0c\u7528\u4e00\u6839\u7ec6\u7ef3\u628a\u91cd\u4e3aG\u7684\u5c0f\u7403\uff0c\u6302\u5728\u7ad6\u76f4\u5149\u6ed1\u7684\u5899\u4e0a\uff0c\u6539\u7528\u8f83\u957f\u7684\u7ec6\u7ef3\uff0c\u5219\u5c0f\u7403\u5bf9\u7ef3\u7684\u62c9\u529bT\u53ca\u5bf9\u5899\u7684\u538b\u529bN\u5c06\uff08 \u00a0\u00a0\u00a0\uff09<\/p>\n<p>A\u3001T\u51cf\u5c0f\uff0cN\u589e\u5728 B\u3001T\u589e\u5927\uff0cN\u51cf\u5c0f<\/p>\n<p>C\u3001T\u51cf\u5c0f\uff0cN\u51cf\u5c0f D\u3001T\u589e\u5927\uff0cN\u589e\u5927<\/p>\n<p>&nbsp;<\/p>\n<p>\u5de7\u7ec32\uff1a\u5982\u56fe4-7\u6240\u793a\uff0c\u8f7b\u7ef3AC\u4e0e\u6c34\u5e73\u89d2\u5939\u89d2\u0430=30\u00b0\uff0cBC\u4e0e\u6c34\u5e73\u9762\u7684\u5939\u89d2\u03b2=60\u00b0\uff0c\u82e5AC\u3001BC\u80fd\u627f\u53d7\u7684\u6700\u5927\u62c9\u529b\u4e0d\u80fd\u8d85\u8fc7100N\uff0c\u8bbe\u60ac\u6302\u91cd\u7269\u7684\u7ef3\u4e0d\u4f1a\u62c9\u65ad\uff0c\u90a3\u4e48\u91cd\u7269\u7684\u91cd\u529bG\u4e0d\u80fd\u8d85\u8fc7\uff08 \u00a0\uff09<\/p>\n<p>A\u3001100N B\u3001200N C\u3001 D\u3001<\/p>\n<p><strong>\u4e94\u3001\u529b\u7684\u6b63\u4ea4\u5206\u89e3\u6cd5<\/strong><\/p>\n<p>\u529b\u7684\u6b63\u4ea4\u5206\u89e3\u6cd5\uff1a\u5373\u662f\u628a\u529b\u6cbf\u7740\u4e24\u4e2a\u7ecf\u9009\u5b9a\u7684\u4e92\u76f8\u5782\u76f4\u7684\u65b9\u5411\u4f5c\u5206\u89e3\uff0c\u5176\u76ee\u7684\u662f\u4fbf\u4e8e\u8fd0\u7528\u666e\u901a\u4ee3\u6570\u8fd0\u7b97\u516c\u5f0f\u6765\u89e3\u51b3\u77e2\u91cf\u7684\u8fd0\u7b97\uff0c\u5750\u6807\u8f74\u7684\u9009\u53d6\u662f\u4ee5\u4f7f\u95ee\u9898\u7684\u5206\u6790\u7b80\u5316\u4e3a\u539f\u5219\uff0c\u901a\u5e38\u9009\u53d6\u5750\u6807\u8f74\u7684\u65b9\u6cd5\u662f\uff1a\u9009\u53d6\u4e00\u6761\u5750\u6807\u8f74\u4e0e\u7269\u4f53\u8fd0\u52a8\u7684\u901f\u5ea6\u65b9\u5411\u6216\u52a0\u901f\u5ea6\u7684\u65b9\u5411\u76f8\u540c\uff08\u5305\u62ec\u5904\u7406\u7269\u4f53\u5728\u659c\u9762\u4e0a\u8fd0\u52a8\u7684\u95ee\u9898\uff09\uff0c\u4ee5\u6c42\u4f7f\u7269\u4f53\u6cbf\u53e6\u4e00\u6761\u5750\u6807\u8f74\u7684\u52a0\u901f\u5ea6\u4e3a\u96f6\uff0c\u8fd9\u6837\u5c31\u53ef\u5f97\u5230\u5916\u529b\u5728\u8be5\u5750\u6807\u8f74\u4e0a\u7684\u5206\u91cf\u4e4b\u548c\u4e3a\u96f6\uff0c\u4ece\u800c\u7ed9\u89e3\u9898\u5e26\u6765\u65b9\u4fbf\uff0c\u7269\u4f53\u53d7\u529b\u4e2a\u6570\u8f83\u591a\u65f6\uff0c\u5e38\u7528\u6b63\u4ea4\u5206\u89e3\u6cd5\u6765\u89e3\u3002<\/p>\n<p>\u4f8b1\uff1a\u5982\u56fe5-1\u6240\u793a\uff0c\u7528\u4e0e\u6c34\u5e73\u6210<em>\u03b8<\/em>=37\u00b0\u7684\u62c9\u529bF=30N\uff0c\u62c9\u7740\u4e00\u4e2a\u91cd\u4e3aG=50N\u7684\u7269\u4f53\u5728\u6c34\u5e73\u5730\u9762\u4e0a\u5300\u901f\u524d\u8fdb\uff0c\u5219\u7269\u4f53\u4e0e\u5730\u9762\u95f4\u7684\u52a8\u6469\u64e6\u56e0\u6570\u03bc\u4e3a\uff08 \u00a0\u00a0\uff09<\/p>\n<p>A\u30010.2 B\u30010.3 C\u30010.6 D\u30010.75<\/p>\n<p>\u3010\u5de7\u89e3\u3011\u7269\u4f53\u53d7\u56db\u4e2a\u529b\u4f5c\u7528\u800c\u5300\u901f\uff0c\u8fd9\u56db\u4e2a\u529b\u5206\u522b\u4e3a\u91cd\u529bG\u3001\u62c9\u529bF\u3001\u5730\u9762\u7684\u652f\u6301\u529bN\u3001\u5730\u9762\u7684\u6469\u64e6\u529b<em>f<\/em>\uff0c\u7531\u4e8e\u53d7\u591a\u4e2a\u529b\u4f5c\u7528\uff0c\u7528\u6b63\u4ea4\u5206\u89e3\u6cd5\u6765\u89e3\u9898\u8f83\u4e3a\u7b80\u5355\u3002<\/p>\n<p>\u600e\u6837\u9009\u53d6\u5750\u6807\u8f74\u5462\uff1f\u9009\u6c34\u5e73\u65b9\u5411\u4e0e\u7ad6\u76f4\u65b9\u5411\u4e3a\u5750\u6807\u8f74\uff0c\u53ea\u9700\u5206\u89e3F\uff0c\u6700\u7b80\u5355\uff0c\u5982\u56fe5-2\u6240\u793a\uff0c\u5c06F\u8fdb\u884c\u6b63\u4ea4\u5206\u89e3\uff0c\u7531\u5e73\u8861\u6761\u4ef6\u53ef\u5f97\uff1a<\/p>\n<p>\u3010\u7b54\u6848\u3011D<\/p>\n<p>\u4f8b2\uff1a\u5982\u56fe5-3\u6240\u793a\uff0c\u91cd\u4e3aG=40N\u7684\u7269\u4f53\u4e0e\u7ad6\u76f4\u5899\u95f4\u7684\u52a8\u6469\u64e6\u56e0\u6570<em>\u03bc<\/em>=0.2\uff0c\u82e5\u53d7\u5230\u4e0e\u6c34\u5e73\u7ebf\u621045\u00b0\u89d2\u7684\u659c\u5411\u4e0a\u7684\u63a8\u529bF\u4f5c\u7528\u800c\u6cbf\u7ad6\u76f4\u5899\u5300\u901f\u4e0a\u6ed1\uff0c\u5219F\u4e3a\u591a\u5927\uff1f<\/p>\n<p>\u3010\u5de7\u89e3\u3011\u7269\u4f53\u53d7\u56db\u4e2a\u529b\u4f5c\u7528\u800c\u5300\u901f\u4e0a\u6ed1\uff0c\u8fd9\u56db\u4e2a\u529b\u5206\u522b\u4e3a\u91cd\u4e3aN\u3001\u63a8\u529bF\u3001\u5899\u7684\u652f\u6301\u529bN\u3001\u5899\u7684\u6469\u64e6\u529bf\uff0c\u7531\u4e8e\u53d7\u591a\u4e2a\u529b\u4f5c\u7528\uff0c\u7528\u6b63\u4ea4\u5206\u89e3\u6cd5\u6765\u89e3\u9898\u8f83\u4e3a\u7b80\u5355\u3002<\/p>\n<p>\u600e\u6837\u9009\u53d6\u5750\u6807\u8f74\u5462\uff1f\u9009\u6c34\u5e73\u65b9\u5411\u4e0e\u7ad6\u76f4\u65b9\u5411\u4e3a\u5750\u6807\u8f74\uff0c\u53ea\u9700\u5206\u89e3F\uff0c\u6700\u7b80\u5355\uff0c\u5982\u56fe5-4\u6240\u793a\uff0c\u5c06F\u8fdb\u884c\u6b63\u4ea4\u5206\u89e3\uff0c\u7531\u5e73\u8861\u6761\u4ef6\u53ef\u5f97\uff1a<\/p>\n<p>\u3010\u7b54\u6848\u3011\u63a8\u529bF\u4e3a71N<\/p>\n<p>\u4f8b3\uff1a\u5982\u56fe5-5\u6240\u793a\uff0c\u7269\u4f53Q\u653e\u5728\u56fa\u5b9a\u7684\u659c\u9762P\u4e0a\uff0cQ\u53d7\u5230\u4e00\u6c34\u5e73\u4f5c\u7528\u529bF\uff0cQ\u5904\u4e8e\u9759\u6b62\u72b6\u6001\uff0c\u8fd9\u65f6Q\u53d7\u5230\u7684\u9759\u6469\u64e6\u529b\u4e3a<em>f<\/em>\uff0c\u73b0\u4f7fF\u53d8\u5927\uff0cQ\u4ecd\u9759\u6b62\uff0c\u5219\u53ef\u80fd\uff08 \u00a0\u00a0\u00a0\uff09<\/p>\n<p>A\u3001<em>f<\/em>\u4e00\u76f4\u53d8\u5927 B\u3001<em>f<\/em>\u4e00\u76f4\u53d8\u5c0f<\/p>\n<p>C\u3001<em>f<\/em>\u5148\u53d8\u5927\uff0c\u540e\u53d8\u5c0f D\u3001<em>f<\/em>\u5148\u53d8\u5c0f\u540e\u53d8\u5927<\/p>\n<p>\u3010\u5de7\u89e3\u3011\u9694\u79bbQ\uff0cQ\u7269\u4f53\u53d7\u91cd\u529bG\u652f\u6301\u529bN\uff0c\u5916\u529bF\u53ca\u6469\u64e6\u529b<em>f<\/em>\u56db\u4e2a\u529b\u800c\u5e73\u8861\uff0c\u4f46<em>f<\/em>\u7684\u65b9\u5411\u672a\u77e5\uff08\u5f53F\u8f83\u5c0f\u65f6\uff0c<em>f<\/em>\u6cbf\u659c\u9762\u5411\u4e0a\uff1b\u5f53F\u8f83\u5927\u65f6<em>f<\/em>\u6cbf\u659c\u9762\u5411\u4e0b\uff09\uff0c\u5176\u53d7\u529b\u56fe\u5982\u56fe5-6\u6240\u793a\u3002<\/p>\n<p>\u600e\u6837\u9009\u53d6\u5750\u6807\u8f74\u5462\uff1f\u9009\u6c34\u5e73\u65b9\u5411\u4e0e\u7ad6\u76f4\u65b9\u5411\u4e3a\u5750\u6807\u8f74\uff0c\u9700\u5206\u89e3N\u4e0e<em>f<\/em>\uff0c\u800c\u9009\u6cbf\u659c\u9762\u65b9\u5411\u4e0e\u7ad6\u76f4\u659c\u9762\u65b9\u5411\u4e3a\u5750\u6807\u8f74\uff0c\u9700\u5206\u89e3G\u4e0eF\u90fd\u9700\u8981\u5206\u89e3\u4e24\u4e2a\u529b\uff0c\u4f46N\u3001<em>f<\/em>\u662f\u672a\u77e5\u529b\uff0cG\u3001F\u662f\u5df2\u77e5\u529b\uff0c\u5206\u89e3\u5df2\u77e5\u529b\u66f4\u7b80\u5355\u4e9b\uff0c\u6545\u5e94\u9009\u6cbf\u659c\u9762\u65b9\u5411\u4e0e\u575a\u76f4\u659c\u9762\u65b9\u5411\u4e3a\u5750\u6807\u8f74\u3002<\/p>\n<p>\u5982\u56fe5-6\u6240\u793a\uff0c\u5c06G\u3001F\u8fdb\u884c\u6b63\u4ea4\u5206\u89e3\uff0c\u7531\u5e73\u8861\u6761\u4ef6\u53ef\u5f97\uff1a\u5f53F\u8f83\u5c0f\u65f6\u6709\uff1a\u5373\u968f\u7740F\u7684\u589e\u5927\uff0c<em>f<\/em>\u5c06\u51cf\u5c0f\uff0c\u5f53F\u8f83\u5927\u65f6\u6709\uff1a\u00a0\u5373\u968f\u7740F\u7684\u589e\u5927\uff0c<em>f<\/em>\u5c06\u589e\u5927\uff0c\u6545\u5f53F\u7684\u521d\u59cb\u503c\u8f83\u5c0f\u65f6\uff0c<em>f<\/em>\u5148\u51cf\u5c0f\u540e\u589e\u5927\uff1b\u5f53F\u7684\u521d\u59cb\u503c\u8f83\u5927\u65f6<em>f<\/em>\u4e00\u76f4\u589e\u5927\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u3010\u7b54\u6848\u3011A\u3001D<\/p>\n<p>\u5de7\u7ec31\uff1a\u5982\u56fe5-7\u6240\u793a\uff0c\u659c\u9762\u4f53P\u56fa\u5b9a\u5728\u6c34\u5e73\u9762\u4e0a\uff0c\u659c\u9762\u4f53\u7684\u503e\u89d2\u4e3a<em>\u03b8<\/em>=37\u00b0\uff0c\u659c\u9762\u4f53\u4e0a\u6709\u4e00\u91cd\u4e3aG=60N\u7684\u6728\u5757Q\uff0c\u7528F=10N\u7684\u6c34\u5e73\u529b\u63a8\u6728\u5757Q\uff0cQ\u6070\u80fd\u6cbf\u659c\u9762\u5300\u901f\u4e0b\u6ed1\uff0c\u5219\u6728\u5757Q\u4e0e\u659c\u9762\u4f53P\u95f4\u7684\u6469\u64e6\u529b\u5927\u5c0f\u53ca\u6469\u64e6\u56e0\u6570\u5206\u522b\u662f\u591a\u5c11\uff1f<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u5de7\u7ec32\uff1a\u5982\u56fe5-8\u6240\u793a\uff0c\u6709\u4e00\u76f4\u89d2\u652f\u67b6AOB\uff0cAO\u6c34\u5e73\u653e\u7f6e\uff0c\u8868\u9762\u7c97\u7cd9\uff0cOB\u7ad6\u76f4\u5411\u4e0b\uff0c\u8868\u9762\u5149\u6ed1\uff0cAO\u4e0a\u5957\u6709\u5c0f\u73afP\uff0cOB\u4e0a\u5957\u6709\u5c0f\u73afQ\uff0c\u4e24\u73af\u8d28\u91cf\u5747\u4e3am\uff0c\u4e24\u73af\u95f4\u7531\u4e00\u6839\u8d28\u91cf\u53ef\u5ffd\u7565\uff0c\u4e0d\u4f55\u4f38\u957f\u7684\u7ec6\u7ef3\u76f8\u8fde\uff0c\u5e76\u5728\u67d0\u4e00\u4f4d\u7f6e\u5e73\u8861\uff0c\u5982\u56fe1-28\u6240\u793a\uff0c\u73b0\u5c06P\u73af\u5411\u5de6\u79fb\u4e00\u5c0f\u6bb5\u8ddd\u79bb\uff0c\u4e24\u73af\u518d\u5c06\u8fbe\u5230\u5e73\u8861\uff0c\u90a3\u4e48\u5c06\u79fb\u52a8\u540e\u7684\u5e73\u8861\u72b6\u6001\u548c\u539f\u6765\u7684\u5e73\u8861\u72b6\u6001\u6bd4\u8f83\uff0cAO\u6746\u5bf9P\u73af\u7684\u652f\u6301\u529bN\u548c\u6469\u64e6\u529b<em>f<\/em>\u7684\u53d8\u5316\u60c5\u51b5\u662f\uff1a\uff08 \u00a0\u00a0\u00a0\uff09<\/p>\n<p>A\u3001N\u4e0d\u53d8\u3001<em>f<\/em>\u53d8\u5927 B\u3001N\u4e0d\u53d8\u3001<em>f<\/em>\u53d8\u5c0f<\/p>\n<p>C\u3001N\u53d8\u5927\u3001<em>f<\/em>\u53d8\u5927 D\u3001N\u53d8\u5927\u3001<em>f<\/em>\u53d8\u5c0f<\/p>\n<p>&nbsp;<\/p>\n<p><strong>\u5171<\/strong><strong>4<\/strong><strong>9\u79cd\u65b9\u6cd5\uff0c\u5176\u4ed6\u7565<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p><strong><b>\u00a0<\/b><\/strong><\/p>\n<p><strong><b>\u7b2c\u4e09\u5355\u5143 \u00a0\u00a0\u00a0\u725b\u987f\u8fd0\u52a8\u5b9a\u5f8b<\/b><\/strong><\/p>\n<p><strong><b>\u96be\u70b9\u5de7\u5b66<\/b><\/strong><\/p>\n<p>\u5de7\u7528\u201c\u4e24\u8fb9\u5939\u201d\u786e\u5b9a\u7269\u4f53\u7684\u66f2\u7ebf\u8fd0\u52a8\u60c5\u51b5<\/p>\n<p>\u66f2\u7ebf\u8fd0\u52a8\u662f\u53d8\u901f\u8fd0\u52a8\uff0c\u4ece\u8fd0\u52a8\u5b66\u7684\u89d2\u5ea6\u53ef\u4ee5\u786e\u5b9a\u7269\u4f53\u52a0\u901f\u5ea6\u4e0e\u901f\u5ea6\u3001\u8f68\u8ff9\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u4e5f\u53ef\u4ee5\u4ece\u52a8\u529b\u5b66\u7684\u89d2\u5ea6\u786e\u5b9a\u5408\u5916\u529bF\u4e0e\u901f\u5ea6\u3001\u8f68\u8ff9\u4e4b\u95f4\u7684\u5173\u7cfb\u3002<\/p>\n<p>\u7269\u4f53\u505a\u66f2\u7ebf\u8fd0\u52a8\u7684\u8f68\u8ff9\u4e0d\u5916\u4e4e\u4ee5\u4e0b\u4e09\u79cd\u60c5\u51b5\uff1a\u7269\u4f53\u7684\u52a0\u901f\u5ea6a\u4e0e\u5176\u901f\u5ea6v\u4e4b\u95f4\u7684\u5939\u89d2\u4e3a\u9510\u89d2\u3001\u76f4\u89d2\u6216\u949d\u89d2\u3002\u6240\u8c13\u201c\u4e24\u8fb9\u5939\u201d\u5c31\u662f\u52a0\u901f\u5ea6\uff08\u6216\u5408\u5916\u529b\uff09\u4e0e\u901f\u5ea6\u628a\u8f68\u8ff9\u5939\u5728\u4e2d\u95f4\uff0c\u5373\uff1a\u7269\u4f53\u505a\u66f2\u7ebf\u8fd0\u52a8\u7684\u8f68\u8ff9\u603b\u5728a\u4e0ev\u4e24\u65b9\u5411\u7684\u5939\u89d2\u4e2d\uff0c\u4e14\u548cv\u7684\u65b9\u5411\u76f8\u5207\uff0c\u5411\u52a0\u901f\u5ea6\u4e00\u4fa7\u5f2f\u66f2\u3002\u5982\u4e0b\u56fe4\uff0d1\u6240\u793a\u4e09\u79cd\u60c5\u51b5\u5c31\u662f\u8fd9\u6837\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u4f8b1\u00a0\u4e00\u8d28\u70b9\u5728\u67d0\u6052\u529bF\u4f5c\u7528\u4e0b\u505a\u66f2\u7ebf\u8fd0\u52a8\uff0c\u56fe4\uff0d2\u4e2d\u7684\u66f2\u7ebfAB\u662f\u8be5\u8d28\u70b9\u8fd0\u52a8\u8f68\u8ff9\u7684\u4e00\u6bb5\uff0c\u8d28\u70b9\u7ecf\u8fc7A\u3001B\u4e24\u70b9\u65f6\u7684\u901f\u7387\u5206\u522b\u4e3av<sub>A<\/sub>\u3001v<sub>B<\/sub>.<\/p>\n<p>\u7528\u4f5c\u56fe\u6cd5\u627e\u51fa\u8be5\u6052\u529b\u65b9\u5411\u7684\u53ef\u80fd\u8303\u56f4\u3002<\/p>\n<p>\u8be5\u6052\u529b\u7684\u65b9\u5411\u80fd\u5426\u5728\u8fc7A\u70b9\u6216B\u70b9\u7684<\/p>\n<p>\u5207\u7ebf\u4e0a\uff1f<\/p>\n<p>\u8be5\u8d28\u70b9\u4eceA\u70b9\u5230B\u70b9\u7684\u8fc7\u7a0b\u4e2d\u5176\u901f\u5ea6<\/p>\n<p>\u5927\u5c0f\u5982\u4f55\u53d8\u5316\uff1f<\/p>\n<p>\u82e5\u901f\u7387\u6709\u53d8\u5316\uff0c\u4e14v<sub>A<\/sub>\uff1dv<sub>B<\/sub>\uff0c\u5219\u901f\u7387\u6700\u5927<\/p>\n<p>\u6216\u6700\u5c0f\u65f6\u5728\u4ec0\u4e48\u4f4d\u7f6e\uff1f<\/p>\n<p>&nbsp;<\/p>\n<p>\u89e3\u6790\u00a0\uff081\uff09\u8fc7A\u3001B\u4e24\u70b9\u5206\u522b\u4f5c\u66f2\u7ebf\u7684\u5207\u7ebf\u2460\u548c\u2462\u3001\u6cd5\u7ebf\u2461\u548c\u2463\uff0c\u5982\u56fe4\uff0d3\u6240\u793a\uff0c\u4eceA\u70b9\u770b\uff0c\u6052\u529bF\u5e94\u5728\u2460\u7ebf\u7684\u53f3\u4fa7\uff1b\u4eceB\u70b9\u770bF\u5e94\u5728\u2462\u7ebf\u7684\u5de6\u4fa7\uff1b\u56e0\u6052\u529b\u7684\u65b9\u5411\u662f\u4e0d\u53d8\u7684\uff0c\u6545\u5e94\u540c\u65f6\u6ee1\u8db3\u4e0a\u8ff0\u4e24\u6761\u4ef6\u3002\u82e5\u5e73\u79fb\u2462\u7ebf\u8fc7A\u70b9\uff0c\u5219\u2460\u3001\u2462\u4e24\u7ebf\u4e4b\u95f4\u7bad\u5934\u6240\u6307\u7684\u533a\u57df\u5373\u4e3aF\u5728A\u70b9\u7684\u65b9\u5411\u53ef\u80fd\u7684\u8303\u56f4\u3002<\/p>\n<p>\u00a0\u00a0\u00a0\uff082\uff09\u82e5F\u5728\u2460\u7ebf\u4e0a\uff0c\u5219\u5b83\u4e0ev<sub>A<\/sub>\u5728\u540c\u4e00\u76f4\u7ebf\u4e0a\uff0c\u7531\u4e8eF\u4e3a\u6052\u529b\uff0c\u6545\u8d28\u70b9\u4e0d\u53ef\u80fd\u518d\u505a\u66f2\u7ebf\u8fd0\u52a8\uff0c\u8fd9\u8bf4\u660eF\u4e0d\u53ef\u80fd\u5728\u2460\u7ebf\u4e0a\u3002\u82e5F\u5728\u2462\u7ebf\u4e0a\uff0c\u5219\u5728A\u70b9\u65f6v<sub>A<\/sub>\u5728\u5782\u76f4\u4e8eF\u7684\u65b9\u5411\u4e0a\u6709\u5206\u91cf\uff0c\u800c\u5230B\u70b9\u65f6\u5782\u76f4\u4e8e\u2462\u7ebf\u7684\u8fd0\u52a8\u5206\u91cf\u6ca1\u6709\u4e86\uff0c\u8fd9\u4e0e\u8be5\u65b9\u5411\u4e0a\u6ca1\u6709F\u5206\u91cf\u76f8\u77db\u76fe\uff0c\u6545F\u4e0d\u53ef\u80fd\u5728\u2462\u7ebf\u4e0a\u3002<\/p>\n<p>\uff083\uff09\u7531\u4e8eF\u5728A\u70b9\u65f6\u4e0ev<sub>A<\/sub>\u5939\u89d2\u5927\u4e8e90\u00ba\uff0c\u800c\u5728<\/p>\n<p>B\u70b9\u65f6\u4e0ev<sub>B<\/sub>\u5939\u89d2\u5c0f\u4e8e90\u00ba\uff0c\u6545\u8d28\u70b9\u7684\u901f\u7387\u5e94\u8be5\u662f\u5148\u51cf<\/p>\n<p>\u5c0f\u540e\u589e\u5927\u3002<\/p>\n<p>\uff084\uff09\u7531\u4e8e\u5df2\u7ecf\u5224\u5b9a\u901f\u7387\u4e3a\u5148\u51cf\u5c0f\u540e\u589e\u5927\uff0c\u4e14<\/p>\n<p>v<sub>A<\/sub>\uff1dv<sub>B<\/sub>\uff0c\u5219\u8fd0\u52a8\u8fc7\u7a0b\u4e2d\u901f\u7387\u6709\u6700\u5c0f\u503c\uff0c\u4e14\u53d1\u751f\u5728F\u4e0e<\/p>\n<p>v\u5782\u76f4\u7684\u4f4d\u7f6e\u3002<\/p>\n<p>\u4e8c\u3001\u6548\u679c\u6cd5\u2015\u2015\u8fd0\u52a8\u7684\u5408\u6210\u4e0e\u5206\u89e3\u7684\u6cd5\u5b9d<\/p>\n<p>\u529b\u7684\u5206\u89e3\u5982\u679c\u4e0d\u8003\u8651\u8be5\u529b\u4ea7\u751f\u7684\u6548\u679c\uff0c\u5bf9\u6c42\u89e3\u5f80\u5f80\u5f71\u54cd\u4e0d\u5927\uff0c\u4f46\u8fd0\u52a8\u7684\u5206\u89e3\u5982\u679c\u4e0d\u8003\u8651\u5b9e\u9645\u6548\u679c\uff0c\u5c31\u6709\u53ef\u80fd\u5f97\u51fa\u9519\u8bef\u7684\u7ed3\u8bba\u3002\u53cd\u4e4b\uff0c\u82e5\u6839\u636e\u8fd0\u52a8\u6548\u679c\u8fdb\u884c\u5206\u89e3\uff0c\u4f1a\u6709\u610f\u60f3\u4e0d\u5230\u7684\u6536<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u83b7\u3002\u4e0b\u9762\u4ee5\u4e00\u4e2a\u66f2\u7ebf\u8fd0\u52a8\u4e2d\u5e38\u89c1\u7684\u9898\u578b\u2015\u2015\u201c\u7ef3\u8fde\u7269\u201d\u6a21\u578b\u4e3a\u4f8b\u8fdb\u884c\u8bf4\u660e\u3002<\/p>\n<p>\u4f8b2\u00a0\u5982\u56fe4\uff0d4\u6240\u793a\uff0c\u7528\u7ef3\u7275\u5f15\u5c0f\u8239\u9760\u5cb8\uff0c\u6536\u7ef3\u7684\u901f\u5ea6\u4e3av<sub>1<\/sub>\uff0c\u5728\u7ef3\u5b50\u4e0e\u6c34\u5e73\u65b9\u5411\u5939\u89d2\u4e3a\u03b1\u7684\u65f6\u523b\uff0c\u8239\u7684\u901f\u5ea6v\u6709\u591a\u5927\uff1f<\/p>\n<p>\u00a0\u00a0\u00a0\u89e3\u6790\u00a0\u5148\u7528\u201c\u5fae\u5143\u6cd5\u201d\u89e3\u7b54\u3002\u5c0f\u8239\u5728\u6781\u77ed\u65f6<\/p>\n<p>\u95f4\u0394t\u5185\u4eceA\u70b9\u79fb\u5230C\u4f4d\u79fb\u4e3a\u0394s\uff0c\u5982\u56fe4\uff0d5<\/p>\n<p>\u6240\u793a\uff0c\u7531\u4e8e\u0394t\u5f88\u5c0f\uff0c\u56e0\u6b64\u7ef3\u5b50\u8f6c\u8fc7\u7684\u89d2\u5ea6\u0394\u03b8<\/p>\n<p>\u5f88\u5c0f\uff0c\u7531\u6570\u5b66\u77e5\u8bc6\u53ef\u8ba4\u4e3a\u0394s<sub>2<\/sub>\u22a5OA, \u0394s<sub>2<\/sub>\u22a5OC,<\/p>\n<p>\u6240\u4ee5\u6709\uff0c\u0394s<sub>2<\/sub>\u4e3a\u7269\u4f53\u5782\u76f4\u7ef3\u65b9\u5411<\/p>\n<p>\u7684\u4f4d\u79fb\uff0c\u0394s<sub>1<\/sub>\u4e3a\u6cbf\u7ef3\u65b9\u5411\u7684\u4f4d\u79fb\u3002\u518d\u7531\u901f\u5ea6\u7684<\/p>\n<p>\u5b9a\u4e49\uff0c\u5f53\u0394t\u5f88\u5c0f\u65f6\uff0cv\uff1d\uff0c<\/p>\n<p>\u6240\u4ee5v\uff1dv<sub>1<\/sub>\uff0bv<sub>2<\/sub>\uff0c\u5373\u8239\u7684\u901f\u5ea6\u5206\u89e3\u4e3a\u6cbf\u7ef3\u65b9\u5411\u7684\u901f<\/p>\n<p>\u5ea6v<sub>1<\/sub>\u548c\u5782\u76f4\u4e8e\u7ef3\u65b9\u5411\u7684\u901f\u5ea6v<sub>2<\/sub>\u3002<\/p>\n<p>\u7528\u201c\u6548\u679c\u6cd5\u201d\u89e3\u7b54\u3002\u8239\u7684\u901f\u5ea6v\u7684\u65b9\u5411\u5c31\u662f\u5408\u901f\u5ea6<\/p>\n<p>\u7684\u65b9\u5411\uff0c\u8fd9\u4e2a\u901f\u5ea6\u4ea7\u751f\u4e86\u4e24\u4e2a\u8fd0\u52a8\u6548\u679c\uff1a\uff081\uff09\u5047\u5982\u7ef3\u4e0e<\/p>\n<p>\u6c34\u5e73\u65b9\u5411\u5939\u89d2\u03b1\u4e0d\u53d8\uff0c\u53ea\u662f\u5728\u62c9\u7ef3\uff0c\u5c0f\u8239\u5c06\u6cbf\u7ef3\u6536\u7f29\u65b9<\/p>\n<p>\u5411\u4ee5v<sub>1<\/sub>\u901f\u5ea6\u8fd0\u52a8\uff0c\uff082\uff09\u5047\u5982\u7ef3\u957fAO\u4e0d\u53d8\uff0c\u53ea\u662f\u03b1\u5728\u53d8\uff0c<\/p>\n<p>\u5c0f\u8239\u5c06\u4ee5O\u4e3a\u5706\u5fc3\u3001OA\u957f\u4e3a\u534a\u5f84\u505a\u5706\u5468\u8fd0\u52a8\uff0c\u901f\u5ea6v<sub>2<\/sub>\u5782\u76f4<\/p>\n<p>\u4e8eOA\u3002\u800c\u03b1\u3001OA\u5747\u6539\u53d8\u65f6\uff0c\u5373\u5c0f\u8239\u5411\u53f3\u8fd0\u52a8\u65f6\uff0cv<sub>1<\/sub>\u3001v<sub>2<\/sub><\/p>\n<p>\u5c31\u53ef\u4ee5\u770b\u6210\u662f\u5b83\u7684\u4e24\u4e2a\u5206\u8fd0\u52a8\uff0c\u77e2\u91cf\u56fe\u5982\u56fe4\uff0d6\u6240\u793a\uff0c\u4ece<\/p>\n<p>\u56fe\u4e2d\u6613\u77e5v\uff1dv<sub>1<\/sub>\/cos\u03b1<\/p>\n<p>\u6bd4\u8f83\u4e24\u79cd\u65b9\u6cd5\u53ef\u77e5\uff0c\u6548\u679c\u6cd5\u7b80\u4fbf\u6613\u884c\uff0c\u53c8\u53ef\u5e2e\u52a9\u540c\u5b66<\/p>\n<p>\u4eec\u7406\u89e3\u5706\u5468\u8fd0\u52a8\u77e5\u8bc6\uff0c\u540c\u65f6\u4e5f\u8ba9\u5b66\u751f\u61c2\u5f97\u4e0d\u80fd\u5c06\u7ef3\u7684\u901f\u5ea6<\/p>\n<p>\u8fdb\u884c\u6b63\u4ea4\u5206\u89e3\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>\u4e09\u3001\u5e73\u629b\u8fd0\u52a8\u4e2d\u7684\u201c\u4e8c\u7ea7\u7ed3\u8bba\u201d\u6709\u5999\u7528<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u89e3\u51b3\u5e73\u629b\u53ca\u7c7b\u5e73\u629b\u8fd0\u52a8\u95ee\u9898\uff0c\u91cd\u5728\u628a\u63e1\u6c34\u5e73\u65b9\u5411\u7684\u5300\u901f\u8fd0\u52a8\u548c\u7ad6\u76f4\u65b9\u5411\u521d\u901f\u4e3a\u96f6\u7684\u5300\u52a0\u901f\u76f4\u7ebf\u8fd0\u52a8\u7684\u72ec\u7acb\u6027\u3001\u7b49\u65f6\u6027\u3001\u7b49\u6548\u6027\uff0c\u5145\u5206\u5229\u7528\u77e2\u91cf\u4e09\u89d2\u5f62\u3001\u52fe\u80a1\u5b9a\u7406\u3001\u4e09\u89d2\u51fd\u6570\u7b49\u77e5\u8bc6\u89e3\u7b54\u3002\u7279\u522b\u63d0\u9192\uff1a\u2460\u5f3a\u8c03\u843d\u70b9\u7684\u95ee\u9898\u5fc5\u987b\u6293\u4f4f\u4e24\u4e2a\u5206\u4f4d\u79fb\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u2461\u5f3a\u8c03\u672b\u901f\u5ea6\u7684\u201c\u5927\u5c0f\u201d\u6216\u201c\u65b9\u5411\u201d\uff08\u7279\u522b\u662f\u201c\u65b9\u5411\u201d\uff09\u7684\u95ee\u9898\u5fc5\u987b\u6293\u4f4f\u4e24\u4e2a\u5206\u901f\u5ea6\u4e4b\u95f4\u7684\u5173\u7cfb\u3002<\/p>\n<p>\u53e6\u5916\uff0c\u8bb0\u4f4f\u4ee5\u4e0b\u4e09\u4e2a\u201c\u4e8c\u7ea7\u7ed3\u8bba\u201d\uff08\u4e5f\u53ef\u79f0\u4f5c\u5b9a\u7406\uff09\u4f1a\u8ba9\u6211\u4eec\u5728\u4eca\u540e\u89e3\u51b3\u5e73\u629b\u53ca\u7c7b\u5e73\u629b\u8fd0\u52a8\u95ee\u9898\u4e2d\u6536\u5230\u610f\u60f3\u4e0d\u5230\u7684\u6548\u679c\uff0c\u7ed3\u8bba\u5982\u4e0b\u3002<\/p>\n<p>\u7ed3\u8bba\u4e00\uff1a\u505a\u5e73\u629b\uff08\u6216\u7c7b\u5e73\u629b\uff09\u8fd0\u52a8\u7684\u7269\u4f53\u5728\u4efb\u4e00\u65f6\u523b\u4efb\u4e00\u4f4d\u7f6e\u5904\uff0c\u8bbe\u5176\u672b\u901f\u5ea6\u65b9\u5411\u4e0e\u6c34\u5e73\u65b9\u5411\u7684\u5939\u89d2\u4e3a\u03b8\uff0c\u4f4d\u79fb\u4e0e\u6c34\u5e73\u65b9\u5411\u7684\u5939\u89d2\u4e3a\u03b2\uff0c\u5219tan\u03b8\uff1d2tan\u03b2<\/p>\n<p>\uff08\u5176\u5e94\u7528\u89c1\u201c\u6d3b\u9898\u5de7\u89e3\u201d\u4f8b7\uff09<\/p>\n<p>\u7ed3\u8bba\u4e8c\uff1a\u505a\u5e73\u629b\uff08\u6216\u7c7b\u5e73\u629b\uff09\u8fd0\u52a8\u7684\u7269\u4f53\u4efb\u610f\u65f6\u523b<\/p>\n<p>\u77ac\u65f6\u901f\u5ea6\u7684\u53cd\u5411\u5ef6\u957f\u7ebf\u4e00\u5b9a\u901a\u8fc7\u6b64\u65f6\u6c34\u5e73\u4f4d\u79fb\u7684\u4e2d\u70b9\u3002<\/p>\n<p>\u5982\u56fe4\uff0d7\u4e2dA\u70b9\u548cB\u70b9\u3002<\/p>\n<p>\uff08\u5176\u5e94\u7528\u89c1\u201c\u6d3b\u9898\u5de7\u89e3\u201d\u4f8b6\uff09<\/p>\n<p>\u7ed3\u8bba\u4e09\uff1a\u5e73\u629b\u8fd0\u52a8\u7684\u7269\u4f53\u7ecf\u8fc7\u65f6\u95f4t\u540e\uff0c\u4f4d\u79fbs\u4e0e<\/p>\n<p>\u6c34\u5e73\u65b9\u5411\u7684\u5939\u89d2\u4e3a\u03b2\uff0c\u5219\u6b64\u65f6\u7684\u52a8\u80fd\u4e0e\u521d\u52a8\u80fd\u7684\u5173\u7cfb\u4e3a<\/p>\n<p>E<sub>kt<\/sub>\uff1dE<sub>ko<\/sub>\uff081\uff0b4tan<sup>2<\/sup>\u03b2\uff09<\/p>\n<p>\uff08\u5f85\u9ad8\u4e00\u4e0b\u5b66\u671f\u7528\uff09<\/p>\n<p>&nbsp;<\/p>\n<p>\u56db\u3001\u5efa\u7acb\u201cF<sub>\u4f9b<\/sub>\uff1dF<sub>\u9700<\/sub>\u201d\u5173\u7cfb\uff0c\u5de7\u89e3\u5706\u5468\u8fd0\u52a8\u95ee\u9898<\/p>\n<p>\u5728\u5300\u901f\u5706\u5468\u8fd0\u52a8\u4e2d\u5408\u5916\u529b\u4e00\u5b9a\u7b49\u4e8e\u7269\u4f53\u6240\u9700\u7684\u5411\u5fc3\u529b\uff1b\u5728\u53d8\u901f\u5706\u5468\u8fd0\u52a8\u4e2d\uff0c\u5408\u5916\u529b\u6cbf<\/p>\n<p>\u534a\u5f84\u65b9\u5411\u7684\u5206\u529b\u63d0\u4f9b\u5411\u5fc3\u529b\u3002\u4f46\u6709\u4e00\u4e2a\u95ee\u9898\u6211\u4eec\u6781\u6613\u51fa\u9519\u53c8\u59cb\u7ec8\u611f\u5230\u4e0d\u597d\u7406\u89e3\uff0c\u5373\uff1a\u505a\u66f2\u7ebf\u8fd0\u52a8\u7684\u7269\u4f53\u5b9e\u9645\u53d7\u5230\u7684\u529b\u6cbf\u534a\u5f84\u65b9\u5411\u7684\u5206\u529b\uff08F<sub>\u4f9b<\/sub>\uff09\u5e76\u4e0d\u4e00\u5b9a\u7b49\u4e8e\u7269\u4f53\u6240\u9700\u7684\u5411\u5fc3\u529b\uff08F<sub>\u9700<\/sub>\uff1dm\uff09\u3002\u4f8b\u5982\uff0c\u5f53F<sub>\u4f9b<\/sub>\ufe65F<sub>\u9700<\/sub>\u65f6\uff0c\u7269\u4f53\u505a\u5411\u5fc3\u8fd0\u52a8\uff1b\u5f53F<sub>\u4f9b<\/sub>\uff1dF<sub>\u9700<\/sub>\u65f6\uff0c\u7269\u4f53\u5c31\u505a\u5706\u5468\u8fd0\u52a8\uff1b\u5f53<\/p>\n<p>F<sub>\u4f9b<\/sub>\ufe64F<sub>\u9700<\/sub>\u65f6\uff0c\u5373\u7269\u4f53\u6240\u53d7\u7684\u529b\u4e0d\u8db3\u4e8e\u7ef4\u6301\u5b83\u505a\u5706\u5468\u8fd0\u52a8\uff0c\u7269\u4f53\u505a\u79bb\u5fc3\u8fd0\u52a8\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5728\u5206\u6790\u7269\u4f53\u662f\u5426\u80fd\u505a\u5706\u5468\u8fd0\u52a8\u65f6\uff0c\u5fc5\u987b\u5f04\u6e05F<sub>\u4f9b<\/sub>\u4e0eF<sub>\u9700<\/sub>\u7684\u5173\u7cfb\uff0c\u6d3b\u7528\u4e34\u754c\u6761\u4ef6\u6cd5\u3001\u7b49\u6548\u6cd5\u3001\u7c7b\u6bd4\u6cd5\u7b49\u5217\u65b9\u7a0b\u6c42\u89e3\u3002<\/p>\n<p>\u4f8b3\u00a0\u8bbe\u4e00\u8fd0\u52a8\u5458\u548c\u81ea\u884c\u8f66\u7684\u603b\u8d28\u91cf\u4e3am\uff0c\u81ea\u884c\u8f66\u4e0e\u5730\u9762\u7684\u52a8\u6469\u64e6\u56e0\u7d20\u4e3a\u00b5\uff0c\u81ea\u884c\u8f66\u505a\u5706\u5468\u8fd0\u52a8\u7684\u8f68\u9053\u534a\u5f84\u4e3aR\uff0c\u81ea\u884c\u8f66\u5e73\u9762\u504f\u79bb\u7ad6\u76f4\u65b9\u5411\u7684\u89d2\u5ea6\u4e3a\u03b8\uff0c\u8f6c\u5f2f\u901f\u5ea6\u4e3av\uff0c\u5730\u9762\u652f\u6301\u529b\u4e3aN\u3002\u95ee\uff1a\u81ea\u884c\u8f66\u8981\u987a\u5229\u8f6c\u5f2f\uff0c\u987b\u6ee1\u8db3\u4ec0\u4e48\u6761\u4ef6\uff1f<\/p>\n<p>\u89e3\u6790\u00a0\u8981\u4f7f\u81ea\u884c\u8f66\u987a\u5229\u8f6c\u5f2f\uff0c\u5fc5\u987b\u89e3\u51b3\u4e24\u4e2a\u95ee\u9898\uff1a\u4e00\u662f\u4e0d\u5411\u5916\u6ed1\u52a8\uff0c\u4e8c\u662f\u4e0d\u53d1\u751f\u7ffb\u5012\u3002<\/p>\n<ul>\n<li>\u8f6c\u5f2f\u901f\u5ea6\u2015\u2015\u4e0d\u5411\u5916\u6ed1\u52a8\u7684\u4e34\u754c\u6761\u4ef6<\/li>\n<\/ul>\n<p>\u81ea\u884c\u8f66\u8f6c\u5f2f\u6240\u9700\u5411\u5fc3\u529b\u7531\u5730\u9762\u7684\u9759\u6469\u64e6\u529b\u63d0\u4f9b\uff0c\u4e0d\u5411\u5916\u6ed1\u52a8\u7684\u6761\u4ef6\u662f\u6240\u9700\u5411\u5fc3\u529b\u4e0d\u8d85\u51fa\u6700\u5927\u9759\u6469\u64e6\u529b\uff0c\u5373F<sub>n<\/sub>\u2264\u03bcmg\uff0c\u6839\u636e\u725b\u987f\u7b2c\u4e8c\u5b9a\u5f8b\u6709<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u03bcmg\uff1dm<\/p>\n<p>\u6240\u4ee5\uff0c\u6700\u5927\u8f6c\u5f2f\u901f\u5ea6\u4e3av<sub>max<\/sub>\uff1d<\/p>\n<ul>\n<li>\u4e34\u754c\u8f6c\u5f2f\u503e\u89d2\u2015\u2015\u4e0d\u7ffb\u5012\u7684\u4e34\u754c\u6761\u4ef6<\/li>\n<\/ul>\n<p>\u00a0\u00a0\u00a0\u81ea\u884c\u8f66\u4e0d\u7ffb\u5012\u7684\u6761\u4ef6\uff0c\u662f\u8d28\u5fc3\u53d7\u5230\u7684\u5408\u529b\u77e9\u4e3a\u96f6\u3002<\/p>\n<p>\u5982\u56fe4\uff0d8\u6240\u793a\uff0c\u5373\u5411\u5185\u503e\u659c\u800c\u53c8\u4e0d\u6ed1\u52a8\u3001\u4e5f\u4e0d\u7ffb\u5012\u7684<\/p>\n<p>\u4e34\u754c\u6761\u4ef6\u662f\u652f\u6301\u529bN\u4e0e\u6700\u5927\u9759\u6469\u64e6\u529bf<sub>max<\/sub>\u7684\u5408\u529b\u901a\u8fc7<\/p>\n<p>\u8d28\u5fc3\u3002\u6839\u636e\u4e09\u89d2\u51fd\u6570\u5173\u7cfb\uff0c\u4e34\u754c\u8f6c\u5f2f\u503e\u89d2<\/p>\n<p>tan\u03b8\uff1d\uff0c<\/p>\n<p>\u03b8\uff1dtan<sup>\uff0d1<\/sup>\u03bc\uff1dtan<sup>\uff0d1<\/sup><\/p>\n<p>\u7b54\u6848\uff1a\u5fc5\u987b\u540c\u65f6\u6ee1\u8db3\u4e24\u4e2a\u6761\u4ef6\uff0c\u5373\u901f\u5ea6\u4e0d\u8d85\u8fc7\uff0c\u81ea\u884c\u8f66\u5e73\u9762\u4e0e\u7ad6\u76f4\u65b9\u5411\u7684\u5939\u89d2\u7b49\u4e8etan<sup>\uff0d1<\/sup><\/p>\n<p>\u4e94\u3001\u628a\u63e1\u4e24\u4e2a\u7279\u5f81\uff0c\u5de7\u5b66\u5706\u5468\u8fd0\u52a8<\/p>\n<ul>\n<li>\u5706\u5468\u8fd0\u52a8\u7684\u8fd0\u52a8\u5b66\u7279\u5f81\u95ee\u9898<\/li>\n<\/ul>\n<p>\u6b64\u7c7b\u95ee\u9898\uff0c\u9700\u540c\u5b66\u4eec\u719f\u7ec3\u638c\u63e1\u63cf\u8ff0\u5706\u5468\u8fd0\u52a8\u7684\u7ebf\u901f\u5ea6\u3001\u89d2\u901f\u5ea6\u3001\u5411\u5fc3\u52a0\u901f\u5ea6\u3001\u5468\u671f\u3001\u9891\u7387\u3001\u8f6c\u901f\u7b49\u7269\u7406\u91cf\u53ca\u5176\u5173\u7cfb\uff0c\u540c\u65f6\uff0c\u8981\u6293\u4f4f\u4e00\u4e9b\u201c\u8fc7\u6e21\u6865\u6881\u201d\u3002\u4f8b\u5982\uff1a\u51e1\u662f\u76f4\u63a5\u7528\u76ae\u5e26\u4f20\u52a8\uff08\u5305\u62ec\u94fe\u6761\u4f20\u52a8\u3001\u6469\u64e6\u4f20\u52a8\uff09\u7684\u4e24\u4e2a\u8f6e\u5b50\uff0c\u5728\u4e0d\u8003\u8651\u6253\u6ed1\u7684\u60c5\u51b5\u4e0b\uff0c\u4e24\u8f6e\u8fb9\u7f18\u4e0a\u5404\u70b9\u7684\u7ebf\u901f<\/p>\n<p>&nbsp;<\/p>\n<p>\u5ea6\u5927\u5c0f\u76f8\u7b49\uff1b\u51e1\u662f\u540c\u4e00\u8f6e\u8f74\u4e0a\uff08\u5404\u4e2a\u8f6e\u90fd\u7ed5\u540c\u4e00\u6839\u8f74\u540c\u6b65\u8f6c\u52a8\uff09\u7684\u5404\u70b9\u89d2\u901f\u5ea6\u76f8\u7b49\uff08\u8f74\u4e0a\u7684\u70b9\u9664\u5916\uff09<\/p>\n<p>2\uff0e\u5706\u5468\u8fd0\u52a8\u7684\u52a8\u529b\u5b66\u7279\u5f81\u53ca\u5206\u6790\u4e0e\u6c42\u89e3<\/p>\n<p>\u5706\u5468\u8fd0\u52a8\u7684\u52a8\u529b\u5b66\u7279\u5f81\u4e3aF<sub>\u5411<\/sub>\uff1dm\u3002\u5177\u4f53\u5728\u89e3\u51b3\u95ee\u9898\u65f6\uff0c\u8981\u6ce8\u610f\u4ee5\u4e0b\u4e09\u70b9\uff1a<\/p>\n<p>\u2460\u786e\u5b9a\u7814\u7a76\u5bf9\u8c61\u7684\u8f68\u9053\u5e73\u9762\u548c\u5706\u5fc3\u7684\u4f4d\u7f6e\u3002\u4f8b\u5982\u706b\u8f66\u8f6c\u5f2f\u65f6\uff0c\u5176\u8f68\u9053\u5e73\u9762\u662f\u5728\u6c34\u5e73\u9762\u5185\u800c\u4e0d\u662f\u5728\u659c\u9762\u4e0a\u3002\u5728\u6c34\u5e73\u653e\u7f6e\u7684\u534a\u7403\u5f62\u7897\u5185\u58c1\u4e0a\u505a\u5706\u5468\u8fd0\u52a8\u7684\u5c0f\u7403\uff0c\u5176\u8f68\u9053\u5e73\u9762\u4e3a\u6c34\u5e73\u9762\uff0c\u5706\u5fc3\u5728\u8f68\u9053\u5706\u5e73\u9762\u4e0a\uff0c\u800c\u4e0d\u662f\u5728\u7403\u5fc3\u3002<\/p>\n<p>\u2461\u5411\u5fc3\u529b\u4e0d\u662f\u4e0e\u91cd\u529b\u3001\u5f39\u529b\u3001\u6469\u64e6\u529b\u7b49\u5e76\u5217\u7684\u201c\u6027\u8d28\u529b\u201d\uff0c\u800c\u662f\u636e\u6548\u679c\u547d\u540d\u7684\u201c\u6548\u679c\u529b\u201d\uff0c\u6545\u5728\u5206\u6790\u505a\u5706\u5468\u8fd0\u52a8\u7684\u8d28\u70b9\u53d7\u529b\u65f6\uff0c\u5207\u4e0d\u53ef\u5728\u6027\u8d28\u529b\u4e0a\u518d\u6dfb\u52a0\u4e00\u4e2a\u5411\u5fc3\u529b\u3002<\/p>\n<p>\u2462\u5750\u6807\u7cfb\u7684\u5efa\u7acb\uff1a\u5e94\u7528\u725b\u987f\u7b2c\u4e8c\u5b9a\u5f8b\u89e3\u7b54\u5706\u5468\u8fd0\u52a8\u95ee\u9898\u65f6\uff0c\u5e38\u7528\u6b63\u4ea4\u5206\u89e3\u6cd5\uff0c\u5176\u5750\u6807\u539f\u70b9\u662f\u505a\u5706\u5468\u8fd0\u52a8\u7684\u7269\u4f53\uff08\u89c6\u4e3a\u8d28\u70b9\uff09\u6240\u5728\u7684\u4f4d\u7f6e\uff0c\u76f8\u4e92\u5782\u76f4\u7684\u4e24\u4e2a\u5750\u6807\u8f74\u4e2d\uff0c\u5176\u4e2d\u4e00\u4e2a\u5750\u6807\u8f74\u7684\u65b9\u5411\u4e00\u5b9a\u6cbf\u534a\u5f84\u6307\u5411\u5706\u5fc3\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>\u516d\u3001\u73b0\u4ee3\u79d1\u6280\u548c\u793e\u4f1a\u70ed\u70b9\u95ee\u9898\u2015\u2015STS\u95ee\u9898<\/p>\n<p>\u8fd9\u7c7b\u8bd5\u9898\u5f80\u5f80\u5229\u7528\u7269\u7406\u65b0\u6a21\u578b\u5c06\u6559\u6750\u4e2d\u96be\u5ea6\u4e0d\u5927\u3001\u8981\u6c42\u4e0d\u9ad8\uff0c\u4f46\u5c5e\u91cd\u70b9\u5185\u5bb9\u7684\u57fa\u7840\u77e5\u8bc6\u53ca\u4e0e\u5176\u76f8\u5173\u7684\u4f8b\u9898\u3001\u4e60\u9898\u52a0\u4ee5\u6709\u6548\u62fc\u63a5\uff0c\u6f14\u53d8\u6210\u5404\u79cd\u7acb\u610f\u65b0\u9896\u3001\u8bbe\u8ba1\u79d1\u5b66\u7684\u9898\u76ee\uff0c\u4ece\u66f4\u9ad8\u5c42\u6b21\u4e0a\u8003\u67e5\u5b66\u751f\u5bf9\u6240\u5b66\u57fa\u7840\u77e5\u8bc6\u7684\u638c\u63e1\u7a0b\u5ea6\u548c\u8fc1\u79fb\u80fd\u529b\u3001\u7efc\u5408\u80fd\u529b\u3001\u521b\u65b0\u80fd\u529b\u3002\u8fd9\u7c7b\u9898\u5177\u6709\u201c\u9ad8\u8d77\u70b9\u3001\u4f4e\u843d\u70b9\u201d\u7684\u7279\u70b9\uff0c\u8d77\u70b9\u9ad8\u662f\u6307\u79d1\u6280\u6210\u679c\u65b0\uff0c\u9898\u578b\u65b0\u9896\u3001\u72ec\u7279\uff0c\u4e3a\u9898\u6d77\u6240\u65e0\u6cd5\u5305\u5bb9\uff1b\u843d\u70b9\u4f4e\u662f\u6307\u5b8c\u6210\u8fd9\u4e9b\u9898\u76ee\u6240\u9700\u7684\u57fa\u7840\u77e5\u8bc6\u4e0d\u8d85\u7eb2\u3002\u73b0\u4e3e\u4e24\u4f8b\u8bf4\u660e\u6b64\u7c7b\u9898\u76ee\u7684\u5de7\u89e3\u3002<\/p>\n<p>\u4f8b4\u00a0\u4ece\u7a7a\u95f4\u540c\u4e00\u70b9O\uff0c\u540c\u65f6\u5411\u5404\u4e2a\u65b9\u5411\u4ee5\u76f8\u540c\u7684\u901f\u7387\u629b\u51fa\u8bb8\u591a\u5c0f\u7403\uff0c\u4e0d\u8ba1\u7a7a\u6c14\u963b\u529b\uff0c\u8bd5\u8bc1\u660e\u5728\u8fd9\u4e9b\u7403\u90fd\u672a\u843d\u5730\u4e4b\u524d\uff0c\u5b83\u4eec\u5728\u4efb\u4e00\u65f6\u523b\u7684\u4f4d\u7f6e\u53ef\u6784\u6210\u4e00\u4e2a\u7403\u9762\u3002<\/p>\n<p>\u89e3\u6790 \u00a0\u5982\u679c\u6211\u4eec\u4ece\u201c\u53ef\u6784\u6210\u4e00\u4e2a\u7403\u9762\u201d\u51fa\u53d1\uff0c\u4ee5\u5730\u9762\u4e3a\u53c2\u7167\u7269\u5217\u65b9\u7a0b\u6c42\u89e3\u4f1a\u5f88\u590d\u6742\uff0c\u5e76\u4e14\u4e0d\u6613\u6c42\u89e3\u3002\u5176\u5b9e\uff0c\u8fd9\u9053\u9898\u6bd4\u8f83\u597d\u7684\u89e3\u6cd5\u662f\u865a\u7269\u5047\u8bbe\u6cd5\u3002<\/p>\n<p>\u89e3\u6790\u00a0\u5047\u8bbe\u5728O\u70b9\u53e6\u6709\u4e00\u4e2a\u5c0f\u7403A\uff0c\u5f53\u6240\u6709\u5c0f\u7403\u88ab\u629b\u51fa\u7684\u90a3\u4e00\u77ac\u95f4\uff0c\u8ba9O\u70b9\u5904\u7684\u8fd9\u4e2a\u5047\u8bbe\u5c0f\u7403\u505a\u81ea\u7531\u843d\u4f53\u8fd0\u52a8\uff08\u8fd9\u662f\u89e3\u7b54\u672c\u9898\u6700\u5173\u952e\u7684\u4e00\u6b65\uff09\u3002<\/p>\n<p>\u56e0\u4e3a\u505a\u629b\u4f53\u8fd0\u52a8\u7684\u6240\u6709\u5c0f\u7403\u4e0e\u5047\u8bbe\u505a\u81ea\u7531\u843d\u4f53\u8fd0\u52a8\u7684\u5c0f\u7403A\u7684\u52a0\u901f\u5ea6\u90fd\u76f8\u7b49\uff08\u90fd\u7b49\u4e8e\u91cd\u529b\u52a0\u901f\u5ea6\uff09\uff0c\u6240\u4ee5\uff0c\u505a\u629b\u4f53\u8fd0\u52a8\u7684\u5404\u5c0f\u7403\u76f8\u5bf9\u4e8eA\u7403\u90fd\u505a\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8\uff0c\u5176\u4f4d\u79fb\uff08\u6ce8\u610f\uff1a\u662f\u76f8\u5bf9\u4e8e\u505a\u81ea\u7531\u843d\u4f53\u8fd0\u52a8\u7684\u5c0f\u7403A\u7684\u4f4d\u79fb\uff09\u7684\u5927\u5c0f\u90fd\u662fs\uff1dv<sub>0<\/sub>t\uff08v<sub>0<\/sub>\u4e3a\u5404\u5c0f\u7403\u629b\u51fa\u65f6\u7684\u521d\u901f\u7387\uff0ct\u4e3a\u5c0f\u7403\u8fd0\u52a8\u7684\u65f6\u95f4\uff09\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u5728\u540c\u4e00\u65f6\u523b\uff0c\u5404\u5c0f\u7403\u4e0eA\u7684\u8ddd\u79bb\u90fd\u76f8\u7b49\uff0c\u56e0\u5404\u5c0f\u7403\u5728\u540c\u4e00\u65f6\u523b\u5728\u7a7a\u4e2d\u7684\u4f4d\u7f6e\u53ef\u6784\u6210\u4e00\u4e2a\u7403\u9762\uff0c\u8fd9\u4e2a\u7403\u9762\u7684\u534a\u5f84\u4e3aR\uff1dv<sub>0<\/sub>t\u3002\u53ef\u89c1\uff0c\u4e0d\u540c\u65f6\u523b\uff0c\u8fd9\u4e9b\u5c0f\u7403\u7684\u4f4d\u7f6e\u6784\u6210\u4e0d\u540c\u7403\u9762\uff0c\u5f53\u7136\uff0c\u8fd9\u4e9b\u7403\u9762\u7684\u7403\u5fc3\u5c31\u662f\u5047\u8bbe\u505a\u81ea\u7531\u843d\u4f53\u8fd0\u52a8\u7684\u5c0f\u7403A\u3002<\/p>\n<p>\u7531\u4ee5\u4e0a\u89e3\u7b54\u4e5f\u53ef\u89e3\u91ca\u8282\u65e5\u7684\u591c\u665a\u71c3\u653e\u7684\u70df\u82b1\u5728\u7a7a\u4e2d\u4e3a\u4ec0\u4e48\u662f\u7403\u5f62\u7684\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>\u4f8b5\u00a0\uff082005\u00b7\u6b66\u6c49\u6a21\u62df\uff09\u65e9\u572819\u4e16\u7eaa\uff0c\u5308\u7259\u5229\u7269\u7406\u5b66\u5bb6\u5384\u7f36\u5c31\u660e\u786e\u6307\u51fa\uff1a\u201c\u6cbf\u6c34\u5e73\u5730\u9762\u5411\u4e1c\u8fd0\u52a8\u7684\u7269\u4f53\uff0c\u5176\u91cd\u91cf\uff0c\u5373\uff1a\u5217\u8f66\u7684\u89c6\u91cd\u6216\u5217\u8f66\u5bf9\u6c34\u5e73\u8f68\u9053\u7684\u538b\u529b\u4e00\u5b9a\u8981\u51cf\u8f7b\u3002\u201d\u540e\u6765\uff0c\u4eba\u4eec\u5e38\u628a\u8fd9\u7c7b\u7269\u7406\u73b0\u8c61\u79f0\u4e4b\u4e3a\u201c\u5384\u7f36\u6548\u5e94\u201d\u3002<\/p>\n<p>\u6211\u4eec\u8bbe\u60f3\uff0c\u5728\u5730\u7403\u8d64\u9053\u9644\u8fd1\u7684\u5730\u5e73\u7ebf\u4e0a\uff0c\u6709\u4e00\u5217\u8f66\u8d28\u91cf\u662fm\uff0c\u6b63\u5728\u4ee5\u901f\u5ea6v\u6cbf\u6c34\u5e73\u8f68\u9053\u5411\u4e1c\u5300\u901f\u884c\u9a76\u3002\u5df2\u77e5\u5730\u7403\u7684\u534a\u5f84R\u53ca\u5730\u7403\u81ea\u8f6c\u5468\u671fT\u3002\u4eca\u5929\u6211\u4eec\u50cf\u5384\u7f36\u4e00\u6837\uff0c\u5982\u679c\u4ec5\u4ec5\u8003\u8651\u5730\u7403\u81ea\u8f6c\u7684\u5f71\u54cd\uff0c\u706b\u8f66\u968f\u5730\u7403\u505a\u7ebf\u901f\u5ea6\u4e3a\u7684\u5706\u5468\u8fd0\u52a8\u65f6\uff0c\u706b\u8f66\u5bf9\u8f68\u9053\u7684\u538b\u529b\u4e3aF<sub>N<\/sub>\uff1b\u5728\u6b64\u57fa\u7840\u4e0a\uff0c\u53c8\u8003\u8651\u5230\u8fd9\u5217\u706b\u8f66\u76f8\u5bf9\u5730\u9762\u9644\u52a0\u4e86\u4e00\u4e2a\u7ebf\u901f\u5ea6\u66f4\u5feb\u7684\u5300\u901f\u5706\u5468\u8fd0\u52a8\uff0c\u5e76\u8bbe\u6b64\u65f6\u706b\u8f66\u5bf9\u8f68\u9053\u7684\u538b\u529b\u4e3aF<sub>N<\/sub><sup>\u2032<\/sup>\uff0c\u90a3\u4e48\uff0c\u5355\u7eaf\u5730\u7531\u4e8e\u8be5\u706b\u8f66\u5411\u4e1c\u884c\u9a76\u800c\u5f15\u8d77\u706b\u8f66\u5bf9\u8f68\u9053\u538b\u529b\u51cf\u8f7b\u7684\u6570\u91cfF<sub>N<\/sub>\uff0dF<sub>N<\/sub><sup>\u2032<\/sup>\u4e3a<\/p>\n<ol>\n<li><strong><b>A<\/b><\/strong>. <strong><b>B<\/b><\/strong>.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<ol>\n<li><strong><b>C<\/b><\/strong>. <strong><b>D<\/b><\/strong>.<\/li>\n<\/ol>\n<p>\u89e3\u6790\u00a0\u6211\u4eec\u7528\u6784\u5efa\u7269\u7406\u6a21\u578b\u6cd5\u6765\u89e3\u7b54\u6b64\u9898\u3002<\/p>\n<p>\u628a\u706b\u8f66\u770b\u4f5c\u4e00\u4e2a\u8d28\u70b9\u5728\u5411\u4e1c\u7ed5\u5730\u5fc3\u505a\u5300\u901f\u5706\u5468\u8fd0\u52a8\uff0c\u5411\u5fc3\u529b\u7531\u5730\u7403\u5bf9\u706b\u8f66\u7684\u5f15\u529bF<sub>\u5f15<\/sub>\u548c\u5730\u9762\u5bf9\u706b\u8f66\u652f\u6301\u529b\u7684\u5408\u529b\u63d0\u4f9b\uff0c\u6839\u636e\u725b\u987f\u7b2c\u4e8c\u5b9a\u5f8b\u5f97<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0F<sub>\u5f15<\/sub>\uff0dF<sub>N<\/sub>\uff1d\u00a0<\/p>\n<p>F<sub>\u5f15<\/sub>\uff0dF<sub>N<\/sub><sup>\u2032<\/sup>\uff1d<\/p>\n<p>\u8054\u7acb\u6c42\u89e3\u5f97\uff1aF<sub>N<\/sub>\uff0dF<sub>N<\/sub><sup>\u2032<\/sup>\uff1d<\/p>\n<p>\u7b54\u6848\u9009B.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong><b>\u6d3b\u9898\u5de7\u89e3<\/b><\/strong><\/p>\n<p>\u4f8b1\u00a0\u00a0\uff082005\u00b7\u5ba3\u6b66\u533a\uff09\u4e00\u8d28\u70b9\u5728xoy\u5e73\u9762\u5185\u8fd0\u52a8\u7684\u8f68\u8ff9\u5982\u56fe4\uff0d9\u00a0\u6240\u793a\uff0c\u4e0b\u9762\u5173\u4e8e\u5176\u5206\u8fd0\u52a8\u7684\u5224\u65ad\u6b63\u786e\u7684\u662f \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0y<\/p>\n<p>\u82e5\u5728x\u65b9\u5411\u59cb\u7ec8\u5300\u901f\u8fd0\u52a8\uff0c\u5219\u5728y\u65b9\u5411\u5148\u52a0\u901f\u540e\u51cf\u901f\u8fd0\u52a8\uff1b<\/p>\n<p>\u82e5\u5728x\u65b9\u5411\u59cb\u7ec8\u5300\u901f\u8fd0\u52a8\uff0c\u5219\u5728y\u65b9\u5411\u5148\u51cf\u901f\u540e\u52a0\u901f\u8fd0\u52a8\uff1b<\/p>\n<p>\u82e5\u5728y\u65b9\u5411\u59cb\u7ec8\u5300\u901f\u8fd0\u52a8\uff0c\u5219\u5728x\u65b9\u5411\u4e00\u76f4\u52a0\u901f\u8fd0\u52a8\uff1b<\/p>\n<p>\u82e5\u5728y\u65b9\u5411\u59cb\u7ec8\u5300\u901f\u8fd0\u52a8\uff0c\u5219\u5728x\u65b9\u5411\u4e00\u76f4\u51cf\u901f\u8fd0\u52a8\u3002 \u00a0\u00a0\u00a0\u00a0O \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0X<\/p>\n<p>\u5de7\u89e3\u00a0\u7c7b\u6bd4\u6cd5 \u56fe4\uff0d9<\/p>\n<p>\u672c\u9898\u53ef\u4ece\u52a8\u529b\u5b66\u7684\u89d2\u5ea6\u786e\u5b9a\u5916\u529b\u4e0e\u901f\u5ea6\u65b9\u5411\u6539\u53d8\u7684\u5173\u7cfb\uff0c\u5373\uff1a\u7269\u4f53\u505a\u66f2\u7ebf\u8fd0\u52a8\u7684\u8f68\u8ff9\u603b\u5728\u52a0\u901f\u5ea6\u4e0e\u901f\u5ea6\u77e2\u91cf\u7684\u5939\u89d2\u4e2d\uff0c\u4e14\u548c\u901f\u5ea6\u7684\u65b9\u5411\u76f8\u5207\uff0c\u5411\u52a0\u901f\u5ea6\u4e00\u4fa7\u5f2f\u66f2\u3002\u518d\u548c\u5e73\u629b\u8fd0\u52a8\u7684\u52a8\u529b\u5b66\u7279\u70b9\u7c7b\u6bd4\uff0c\u53ef\u77e5B\u5bf9<\/p>\n<p>\u3010\u7b54\u6848\u3011B\u00a0<\/p>\n<p>\u00a0\u4f8b2\u00a0\u00a0\u00a0\uff082005\u00b7\u5357\u4eac\u6a21\u62df\uff09\u5c0f\u6cb3\u5bbd\u4e3ad\uff0c\u6cb3\u6c34\u4e2d\u5404\u70b9\u6c34\u6d41\u901f\u5ea6\u5927\u5c0f\u4e0e\u5404\u70b9\u5230\u8f83\u8fd1\u6cb3\u5cb8\u8fb9\u7684\u8ddd\u79bb\u6210\u6b63\u6bd4\uff0cv<sub>\u6c34<\/sub>\uff1dkx\uff0ck\uff1d4v<sub>0<\/sub>\/d\uff0cx\u662f\u5404\u70b9\u5230\u8fd1\u5cb8\u7684\u8ddd\u79bb\u3002\u5c0f\u8239\u8239\u5934\u5782\u76f4\u6cb3\u5cb8\u6e21\u6cb3\uff0c\u5c0f\u8239\u5212\u6c34\u901f\u5ea6\u4e3av<sub>0<\/sub>\uff0c\u5219\u4e0b\u5217\u8bf4\u6cd5\u4e2d\u6b63\u786e\u7684\u662f<\/p>\n<p>\u5c0f\u8239\u6e21\u6cb3\u7684\u8f68\u8ff9\u4e3a\u66f2\u7ebf\uff1b<\/p>\n<p>\u5c0f\u8239\u5230\u8fbe\u79bb\u6cb3\u5cb8d\/2\u5904\uff0c\u8239\u6e21\u6cb3\u7684\u901f\u5ea6\u4e3av<sub>0<\/sub>\uff1b<\/p>\n<p>\u5c0f\u8239\u6e21\u6cb3\u65f6\u7684\u8f68\u8ff9\u4e3a\u76f4\u7ebf\uff1b<\/p>\n<p>\u5c0f\u8239\u5230\u8fbe\u79bb\u6cb3\u5cb83d\/4\u5904\uff0c\u8239\u6e21\u6cb3\u7684\u901f\u5ea6\u4e3av<sub>0<\/sub>\u3002<\/p>\n<p>\u00a0\u5de7\u89e3\u00a0\u901f\u5ea6\u5408\u6210\u6cd5<\/p>\n<p>\u7531\u4e8e\u5c0f\u8239\u5212\u6c34\u901f\u5ea6\u4e3av<sub>0<\/sub>\u4e0d\u53d8\uff0c\u6c34\u6d41\u901f\u5ea6\u5148\u53d8\u5927\u518d\u53d8\u5c0f\uff0c\u6cb3\u4e2d\u95f4\u4e3a\u5176\u901f\u5ea6\u5927\u5c0f\u53d8\u5316\u7684\u8f6c<\/p>\n<p>&nbsp;<\/p>\n<p>\u6298\u70b9\uff0c\u6545\u5176\u5408\u901f\u5ea6\u7684\u5927\u5c0f\u53ca\u65b9\u5411\u5728\u4e0d\u65ad\u7684\u53d8\u5316\uff0c\u53ef\u89c1\u5176\u8f68\u8ff9\u4e3a\u66f2\u7ebf\uff1b\u5728\u6cb3\u4e2d\u95f4\u65f6\u5c0f\u8239\u7684\u6e21\u6cb3\u901f\u5ea6\u5e94\u4e3av<sub>0<\/sub>\uff1b\u5230\u8fbe\u79bb\u6cb3\u5cb83d\/4\u5904\u65f6\uff0c\u6c34\u6d41\u901f\u5ea6\u4e3av<sub>0<\/sub>\uff0c\u8239\u6e21\u6cb3\u7684\u901f\u5ea6\u5e94\u4e3av<sub>0<\/sub>\uff0c\u6545\u6b63\u786e\u9009\u9879\u4e3aA\u3001B\u3002<\/p>\n<p>\u3010\u7b54\u6848\u3011AB<\/p>\n<p>&nbsp;<\/p>\n<p>\u4f8b3\u00a0\u00a0\u00a0\u7532\u3001\u4e59\u4e24\u8239\u4ece\u540c\u4e00\u5730\u70b9\u6e21\u6cb3\uff0c\u7532\u8239\u4ee5\u6700\u77ed\u65f6\u95f4\u8fc7\u6cb3\uff0c\u4e59\u8239\u4ee5\u6700\u77ed\u822a\u7a0b\u8fc7\u6cb3\uff0c\u7ed3\u679c\u7532\u3001\u4e59\u5230\u8fbe\u5bf9\u5cb8\u540c\u4e00\u5730\u70b9\u3002\u8bbe\u7532\u3001\u4e59\u4e24\u8239\u5728\u9759\u6c34\u4e2d\u7684\u901f\u5ea6\u5206\u522b\u4e3av<sub>\u7532<\/sub>\u3001v<sub>\u4e59<\/sub>\u5e76\u4fdd\u6301\u4e0d\u53d8\uff0c\u6c42\u5b83\u4eec\u5230\u8fbe\u5bf9\u5cb8\u6240\u7528\u65f6\u95f4\u4e4b\u6bd4t<sub>\u7532<\/sub>\u2236t<sub>\u4e59<\/sub>\uff1d\uff1f<\/p>\n<p>\u5de7\u89e3\u00a0\u77e2\u91cf\u56fe\u89e3\u6cd5<\/p>\n<p>\u7531\u9898\u610f\u53ef\u77e5\uff0c\u7532\u3001\u4e59\u822a\u7ebf\u76f8\u540c\uff0c\u8bbe\u5b83\u4eec\u5408\u901f\u5ea6\u4e0e\u6cb3\u5cb8\u7684\u5939\u89d2\u4e3a\u03b1\uff0c\u822a\u7a0b\u4e3aS\uff0c\u5982\u56fe4\uff0d10\u6240\u793a\u3002\u5219\u5bf9\u7532\u6709<\/p>\n<p>t<sub>\u7532<\/sub>\uff1d \uff081\uff09<\/p>\n<p>\u4f5c\u51fa\u4e59\u7684\u901f\u5ea6\u77e2\u91cf\u56fe\u5982\u56fe\uff0c\u7531\u56fe\u53ef\u77e5\uff0c\u8981\u4f7f<\/p>\n<p>\u4e59\u7684\u822a\u7a0b\u6700\u77ed\uff0cv<sub>\u4e59<\/sub>\u4e0e\u822a\u7ebf\u5fc5\u5b9a\u5782\u76f4\uff0c\u6240\u4ee5<\/p>\n<p>t<sub>\u4e59<\/sub>\uff1d\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \uff082\uff09<\/p>\n<p>\u7531\uff081\uff09\uff082\uff09\u4e24\u5f0f\u5f97<\/p>\n<p>\u518d\u7531\u51e0\u4f55\u77e5\u8bc6\u5f97cos\u03b1\uff1d\u00a0\u00a0\u00a0\u00a0\u00a0\u2234sin\u03b1\uff1d\u00a0\u00a0\u5c06\u5b83\u4eec\u4ee3\u5165\u4e0a\u5f0f\u5f97<\/p>\n<p>&nbsp;<\/p>\n<p>\u3010\u7b54\u6848\u3011<\/p>\n<p>&nbsp;<\/p>\n<p>\u4f8b4\u00a0\uff082005\u00b7\u4e0a\u6d77\u5377\uff09\u5982\u56fe4\uff0d11\u6240\u793a\u7684\u5854\u540a\u81c2\u4e0a\u6709\u4e00\u53ef\u4ee5\u6cbf\u6c34\u5e73\u65b9\u5411\u8fd0\u52a8\u7684\u5c0f\u8f66A\uff0c\u5c0f\u8f66\u4e0b\u540a\u7740\u88c5\u6709\u7269\u4f53B\u7684\u540a\u94a9\u3002\u5728\u5c0f\u8f66A\u4e0e\u7269\u4f53B\u4ee5\u76f8\u540c\u7684\u6c34\u5e73\u901f\u5ea6\u6cbf\u540a\u81c2\u65b9\u5411\u5300\u901f\u8fd0\u52a8\u7684\u540c\u65f6\uff0c\u540a\u94a9\u5c06\u7269\u4f53B\u5411\u4e0a\u540a\u8d77\uff0cA\u3001B\u4e4b\u95f4\u8ddd\u79bb\u4ee5d\uff1dH\uff0d2t<sup>2<\/sup>\uff08\u5f0f\u4e2dH\u4e3a\u540a\u81c2\u79bb\u5730\u9762\u7684\u9ad8\u5ea6\uff09\u7684\u89c4\u5f8b\u53d8\u5316\uff0c\u5219\u7269\u4f53\u505a \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n<p>\u901f\u5ea6\u5927\u5c0f\u4e0d\u53d8\u7684\u66f2\u7ebf\u8fd0\u52a8\uff1b<\/p>\n<p>\u901f\u5ea6\u5927\u5c0f\u589e\u52a0\u7684\u66f2\u7ebf\u8fd0\u52a8\uff1b<\/p>\n<p>\u52a0\u901f\u5ea6\u5927\u5c0f\u65b9\u5411\u5747\u4e0d\u53d8\u7684\u66f2\u7ebf\u8fd0\u52a8\uff1b<\/p>\n<p>\u52a0\u901f\u5ea6\u5927\u5c0f\u65b9\u5411\u5747\u53d8\u5316\u7684\u66f2\u7ebf\u8fd0\u52a8\u3002 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n<p>\u5de7\u89e3 \u6784\u5efa\u6a21\u578b\u6cd5<\/p>\n<p>&nbsp;<\/p>\n<p>\u7269\u4f53\u5728\u6c34\u5e73\u65b9\u5411\u4e0a\u968f\u8f66\u4e00\u8d77\u505a\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8\u3002\u800c\u5728\u7ad6\u76f4\u65b9\u5411\uff0cA\u3001B\u95f4\u7684\u8ddd\u79bb\u6ee1\u8db3d\uff1dH\uff0d2t<sup>2<\/sup>\uff0c\u5373\u505a\u521d\u901f\u4e3a\u96f6\u7684\u5300\u52a0\u901f\u76f4\u7ebf\u8fd0\u52a8\uff0c\u7c7b\u4f3c\u5e73\u629b\u8fd0\u52a8\u7684\u6a21\u5f0f\u3002\u8fc7\u7a0b\u4e2d\u7269\u4f53\u7684\u6c34\u5e73\u901f\u5ea6\u4e0d\u53d8\uff0c\u800c\u7ad6\u76f4\u65b9\u5411\u4e0a\u52a0\u901f\u5ea6\u5927\u5c0f\u3001\u65b9\u5411\u5747\u4e0d\u53d8\uff0cC\u6b63\u786e\u3002\u5411\u4e0a\u7684\u901f\u5ea6\u968f\u65f6\u95f4\u5747\u5300\u589e\u5927\uff0c\u7531\u901f\u5ea6\u7684\u5408\u6210\u53ef\u77e5\uff0c\u5176\u901f\u5ea6\u5927\u5c0f\u4e5f\u589e\u5927\uff0cB\u6b63\u786e\u3002\u5373\u9009BC.<\/p>\n<p>\u3010\u7b54\u6848\u3011BC<\/p>\n<p>&nbsp;<\/p>\n<p>\u4f8b5\u00a0\u5982\u56fe4\uff0d12\u6240\u793a\uff0c\u4e0e\u6c34\u5e73\u9762\u7684\u5939\u89d2\u4e3a\u03b8\u7684\u76f4\u89d2\u4e09\u89d2\u5f62\u6728\u5757\u56fa\u5b9a\u5728\u5730\u9762\u4e0a\uff0c\u6709\u4e00\u8d28\u70b9\u4ee5\u521d\u901f\u5ea6 v<sub>o<\/sub>\u00a0\u4ece\u4e09\u89d2\u5f62\u6728\u5757\u7684\u9876\u70b9\u4e0a\u6c34\u5e73\u629b\u51fa\u3002\u8bd5\u6c42\u8d28\u70b9\u8ddd\u659c\u9762\u7684\u6700\u8fdc\u8ddd\u79bb\u3002<\/p>\n<p>\u5de7\u89e3 \u5b9a\u7406\u6cd5<\/p>\n<p>\u5f53\u8d28\u70b9\u505a\u5e73\u629b\u8fd0\u52a8\u7684\u672b\u901f\u5ea6\u65b9\u5411 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n<p>\u5e73\u884c\u4e8e\u659c\u9762\u65f6\uff0c\u8d28\u70b9\u8ddd\u659c\u9762\u7684\u8ddd<\/p>\n<p>\u79bb\u6700\u8fdc\u3002\u6b64\u65f6\u672b\u901f\u5ea6\u65b9\u5411\u4e0e\u521d\u901f<\/p>\n<p>\u5ea6\u65b9\u5411\u6210\u03b8\u89d2\uff0c\u5982\u56fe4\uff0d13 \u6240\u793a\u3002<\/p>\n<p>\u4e2dA\u4e3a\u672b\u901f\u5ea6\u7684\u53cd\u5411\u5ef6\u957f\u7ebf\u4e0e\u6c34<\/p>\n<p>\u5e73\u4f4d\u79fb\u7684\u4ea4\u70b9\uff0c AB \u5373\u4e3a\u6240\u6c42\u7684\u6700\u8fdc\u8ddd\u79bb\u3002\u6839\u636e\u5e73\u629b\u8fd0\u52a8\u89c4\u5f8b\u6709<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0v<sub>y<\/sub>\u00a0\uff1d gt \uff0c x \uff1d v<sub>0<\/sub>t \u548c<\/p>\n<p>\u7531\u5e73\u629b\u8fd0\u52a8\u7684\u201c\u4e8c\u7ea7\u7ed3\u8bba\u201d\u53ef\u77e5\uff1a\u00a0<\/p>\n<p>\u636e\u56fe\u4e2d\u51e0\u4f55\u5173\u7cfb\u53ef\u5f97\uff1a\u00a0\u00a0<\/p>\n<p>\u89e3\u4ee5\u4e0a\u5404\u5f0f\u5f97\uff1a\u00a0\u6b64\u5f0f\u5373\u4e3a\u8d28\u70b9\u8ddd\u659c\u9762\u7684\u6700\u8fdc\u8ddd\u79bb<\/p>\n<p>\u3010\u7b54\u6848\u3011<\/p>\n<p>\u4f8b6 \u00a0\u4e00\u8d28\u91cf\u4e3a m \u7684\u5c0f\u7269\u4f53\u4ece\u503e\u89d2\u4e3a30<sup>o<\/sup>\u7684\u659c\u9762\u9876\u70b9A\u6c34\u5e73\u629b\u51fa\uff0c\u843d\u5728\u659c\u9762\u4e0a B \u70b9\uff0c\u82e5\u7269\u4f53\u5230\u8fbe B \u70b9\u65f6\u7684\u901f\u5ea6\u4e3a 21m\/s \uff0c\u8bd5\u6c42\u5c0f\u7269\u4f53\u629b\u51fa\u65f6\u7684\u521d\u901f\u5ea6\u4e3a\u591a\u5927?\uff08\u4e0d\u8ba1\u8fd0\u52a8\u8fc7\u7a0b\u4e2d\u7684\u7a7a\u6c14\u963b\u529b\uff09 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n<p>\u5de7\u89e3 \u5b9a\u7406\u6cd5<\/p>\n<p>\u7531\u9898\u610f\u4f5c\u51fa\u56fe4\uff0d14\uff0c\u672b\u901f\u5ea6\u4e0e\u6c34\u5e73\u65b9\u5411<\/p>\n<p>\u5939\u89d2\u8bbe\u4e3a\u03b1\uff0c\u659c\u9762\u503e\u89d2\u8bbe\u4e3a\u03b2\u3002\u6839\u636e\u5e73<\/p>\n<p>\u629b\u8fd0\u52a8\u7684\u201c\u4e8c\u7ea7\u7ed3\u8bba\u201d\u53ef\u5f97<\/p>\n<p>tan\u03b1\uff1d\u00a02tan\u03b2\uff0c\u03b2\uff1d30<sup>o<\/sup><\/p>\n<p>\u6240\u4ee5tan\u03b1\uff1d\u00a02\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n<p>\u7531\u4e09\u89d2\u77e5\u8bc6\u53ef\u5f97\uff1acos\u03b1\uff1d<\/p>\n<p>\u53c8\u56e0\u4e3a v<sub>t <\/sub>\uff1d\uff0c\u6240\u4ee5\u521d\u901f\u5ea6 v<sub>0<\/sub>\u00a0\uff1d v<sub>t<\/sub>cos\u03b1\uff1d3m\/s<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u3010\u7b54\u6848\u3011\u521d\u901f\u5ea6\u4e3a3m\/s<\/p>\n<p>\u4f8b7\u00a0\u00a0\u00a0\u5982\u56fe4\uff0d15 \uff0cAB\u4e3a\u659c\u9762\uff0cBC\u4e3a\u6c34\u5e73\u9762\u3002\u4eceA\u70b9\u5206\u522b\u4ee5 v<sub>0<\/sub>,3v<sub>0<\/sub>\u00a0\u7684\u901f\u5ea6\u6c34\u5e73\u629b\u51fa<\/p>\n<p>\u7684\u5c0f\u7403\uff0c\u843d\u70b9\u4e0e\u629b\u51fa\u70b9\u4e4b\u95f4\u7684\u6c34\u5e73\u8ddd\u79bb\u5206\u522b\u4e3a S<sub>1<\/sub>, S<sub>2<\/sub>\u00a0\u3002\u4e0d\u8ba1\u7a7a\u6c14\u963b\u529b\uff0c\u5219<\/p>\n<p>S<sub>1<\/sub>: S<sub>2<\/sub>\u00a0\u53ef\u80fd\u4e3a v<sub>o<\/sub> A<\/p>\n<p>\u00a0\u00a0A\uff0e1:3 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0B. 1:4 \u00a0\u00a0\u00a0\u00a0<\/p>\n<p>\u00a0\u00a0C.1:8 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0D.1:10 C B<\/p>\n<p>\u5de7\u89e3 \u00a0\u6781\u9650\u63a8\u7406\u6cd5 \u56fe4\uff0d15<\/p>\n<p>\u672c\u9898\u8003\u8651\u5c0f\u7403\u843d\u70b9\u7684\u4e0d\u786e\u5b9a\u6027\uff0c\u6709\u4e09\u79cd\u60c5\u51b5\u3002\u73b0\u5206\u6790\u5982\u4e0b\u3002<\/p>\n<p>\u00a0\u00a0\u2460\u5f53\u4e24\u7403\u5747\u843d\u5728\u6c34\u5e73\u9762\u4e0a\u65f6\uff0c\u56e0\u4e3a\u8fd0\u52a8\u65f6\u95f4\u76f8\u540c\uff0c\u2234 S<sub>1<\/sub>:S<sub>2<\/sub>=1:3<\/p>\n<p>\u2461\u5f53\u4e24\u7403\u5747\u843d\u5728\u659c\u9762\u4e0a\u65f6\uff0c\u8bbe\u659c\u9762\u503e\u89d2\u4e3a\u03b8\uff0c\u5219\u6709<\/p>\n<p>S<sub>1<\/sub>=v<sub>0<\/sub>t<sub>1 <\/sub>\u00a0\u00a0S<sub>2<\/sub>=3v<sub>0<\/sub>t<sub>2<\/sub><\/p>\n<p>S<sub>1<\/sub>tan\u03b8\uff1dgt<sub>1<\/sub><sup>2<\/sup>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0S<sub>2<\/sub>tan\u03b8=gt<sub>2<\/sub><sup>2<\/sup><\/p>\n<p>\u7531\u4ee5\u4e0a\u65b9\u7a0b\u89e3\u5f97 S<sub>1<\/sub>:S<sub>2<\/sub>\uff1d1:9<\/p>\n<p>\u00a0\u2462\u5f53\u4e00\u7403\u843d\u5728\u659c\u9762\uff0c\u53e6\u4e00\u7403\u843d\u5728\u6c34\u5e73\u9762\u65f6\uff0c\u53ef\u7531\u6781\u9650\u63a8\u7406\u6cd5\u5206\u6790\u51fa S<sub>1<\/sub>\u00a0\u4e0e S<sub>2<\/sub>\u00a0\u7684\u6bd4\u503c\u4ecb\u4e8e 1:3 \u4e0e 1:9 \u4e4b\u95f4<\/p>\n<p>\u3010\u7b54\u6848\u3011ABC\u6b63\u786e<\/p>\n<p>&nbsp;<\/p>\n<p>\u4f8b8\u00a0\u5982\u56fe4\uff0d16 \u6240\u793a\uff0c\u4e24\u652f\u624b\u67aa\u5728\u540c\u4e00\u4f4d\u7f6e\u6cbf\u6c34\u5e73\u65b9\u5411\u5c04\u51fa\u4e24\u9897\u5b50\u5f39\uff0c\u6253\u5728 100 m \u8fdc\u5904\u7684\u9776\u4e0a\uff0c\u4e24\u5f39\u5b54\u5728\u7ad6\u76f4\u65b9\u5411\u4e0a\u76f8\u8ddd 60\u5398\u7c73\uff0cA\u4e3a\u7532\u67aa\u6240\u51fb\u4e2d\uff0c B \u4e3a\u4e59\u67aa\u6240\u51fb\u4e2d\u3002\u82e5\u7532\u67aa\u5b50\u5f39\u7684\u51fa\u819b\u901f\u5ea6\u662f 500 m\/ s \uff0c\u6c42\u4e59\u67aa\u5b50\u5f39\u79bb\u5f00\u67aa\u53e3\u7684\u901f\u5ea6\u3002\uff08\u4e0d\u8ba1\u7a7a\u6c14\u963b\u529b\uff0c g \u53d6 10 m\/ s<sup>2<\/sup>\u00a0\uff09<\/p>\n<p>\u5de7\u89e3 \u00a0\u89e3\u6790\u6cd5<\/p>\n<p>\u7532\u67aa\u5b50\u5f39\u8fd0\u884c\u65f6\u95f4 t<sub>\u00a0\u7532<\/sub>\uff1d\uff1d0.2 s \u00a0\u00a0<\/p>\n<p>\u7532\u67aa\u7ad6\u76f4\u4f4d\u79fb h<sub>\u7532<\/sub>\uff1d gt<sub>\u7532<\/sub><sup>2<\/sup>\u00a0\uff1d 0.2 m<\/p>\n<p>\u5219\u4e59\u67aa\u5b50\u5f39\u7ad6\u76f4\u4f4d\u79fb h <sub>\u4e59<\/sub>\uff1dgt<sub>\u4e59<\/sub><sup>2<\/sup>\u00a0\uff1d h<sub>\u7532<\/sub>\uff0b0.6 \u00a0\u89e3\u5f97 t<sub>\u4e59<\/sub>\uff1d0.4s<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u2234\u4e59\u67aa\u5b50\u5f39\u79bb\u5f00\u67aa\u53e3\u7684\u901f\u5ea6 v<sub>\u4e59<\/sub>\uff1d\uff1d250m\/s<\/p>\n<p>\u3010\u7b54\u6848\u3011250m\/s<\/p>\n<p>\u4f8b9\u00a0\uff082005\u4e0a\u6d7719\u9898\uff09\u5982\u56fe4\uff0d17 \u6240\u793a\uff0c\u67d0\u6ed1\u677f\u7231\u597d\u8005\u5728\u79bb\u5730h\uff1d1.8m\u9ad8\u7684\u5e73\u53f0\u4e0a\u6ed1\u884c\uff0c\u6c34\u5e73\u79bb\u5f00A\u70b9\u540e\u843d\u5728\u6c34\u5e73\u5730\u9762\u4e0a\u7684B\u70b9\uff0c\u5176\u6c34\u5e73\u4f4d\u79fbS<sub>1<\/sub>=3m\u3002\u7740\u5730\u65f6\u7531\u4e8e\u5b58\u5728\u80fd\u91cf\u635f\u5931\uff0c\u7740\u5730\u540e\u901f\u5ea6\u53d8\u4e3av\uff1d4m\/s,\u5e76\u4ee5\u6b64\u4e3a\u521d\u901f\u5ea6\u6c34\u5e73\u6ed1\u884cS<sub>2<\/sub>\uff1d8m\u540e\u505c\u6b62\u3002\u5df2\u77e5\u4eba\u4e0e\u6ed1\u677f\u7684\u603b\u8d28\u91cfm\uff1d60kg\uff0c\u6c42\uff1a<\/p>\n<ul>\n<li>\u4e0e\u6ed1\u677f\u5728\u6c34\u5e73\u5730\u9762\u6ed1\u884c\u65f6\u53d7\u5230\u7684\u5e73\u5747\u963b\u529b\u5927\u5c0f\uff1b<\/li>\n<\/ul>\n<p>\uff082\uff09\u4eba\u4e0e\u6ed1\u677f\u79bb\u5f00\u5e73\u53f0\u65f6\u7684\u6c34\u5e73\u521d\u901f\u5ea6\u3002\uff08\u7a7a\u6c14\u963b\u529b\u5ffd\u7565\u4e0d\u8ba1\uff0cg\uff1d10m\/s<sup>2<\/sup>\uff09<\/p>\n<p>\u5de7\u89e3 \u7a0b\u5e8f\u6cd5<\/p>\n<ul>\n<li>\u4eba\u4e0e\u6ed1\u677f\u5728BC\u6bb5\u6ed1\u884c\u65f6\uff0c\u7531v<sup>2<\/sup>\uff1d2as\u5f97\u6ed1\u884c\u7684\u52a0\u901f\u5ea6\u4e3a<\/li>\n<\/ul>\n<p>a\uff1d=1m\/s<sup>2<\/sup> \u00a0\u00a0\u00a0\u00a0<\/p>\n<p>\u8bbe\u5730\u9762\u7684\u5e73\u5747\u963b\u529b\u4e3aF\uff0c\u7531\u725b\u987f\u7b2c\u4e8c\u5b9a\u5f8b\u5f97<\/p>\n<p>F\uff1dma\uff1d60\uff08N\uff09<\/p>\n<p>\u00a0\u00a0\u00a0\uff082\uff09\u4eba\u4e0e\u6ed1\u677f\u79bb\u5f00\u5e73\u53f0\u540e\uff0c\u505a\u5e73\u629b\u8fd0\u52a8\uff0c \u00a0<\/p>\n<p>\u6709 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0h\uff1dgt<sup>2<\/sup>\u00a0\u548cS<sub>1<\/sub>\uff1dv<sub>0<\/sub>t<\/p>\n<p>\u89e3\u65b9\u7a0b\u5f97\u6c34\u5e73\u521d\u901f\u5ea6v<sub>0<\/sub>\uff1d5m\/s<\/p>\n<p>\u00a0\u00a0\u3010\u7b54\u6848\u301160N\uff0c5m\/s<\/p>\n<p>\u4f8b10\u00a0\uff082005\u00b7\u5e7f\u4e1c\u8c03\u7814\uff09\u5982\u56fe4\uff0d18 \u6240\u793a,\u5c0f\u7403\u5728\u5149\u6ed1\u659c\u9762\u4e0aA\u70b9\u4ee5\u521d\u901f\u5ea6v<sub>0<\/sub>\u5411\u53f3\u629b\u51fa\uff0c\u843d\u5728\u659c\u9762\u5e95\u7aefB\u70b9\uff0c\u8bbe\u4eceA\u70b9\u5230B\u70b9\u6cbfv<sub>0<\/sub>\u65b9\u5411\u7684\u4f4d\u79fb\u4e3ax<sub>1<\/sub>\u3002\u53bb\u6389\u659c\u9762\uff0c\u5c0f\u7403\u4eceA\u70b9\u4ecd\u7136\u4ee5v<sub>0<\/sub>\u7684\u521d\u901f\u5ea6\u5411\u53f3\u629b\u51fa\uff0c\u843d\u5728\u5730\u9762\u4e0a\u7684C\u70b9\uff0c\u8bbe\u6c34\u5e73\u4f4d\u79fb\u4e3ax<sub>2<\/sub>\u3002\u5219\u6709\uff1a<\/p>\n<ol start=\"2\">\n<li>x<sub>1<\/sub>&gt; x<sub>2.<\/sub>B. x<sub>1<\/sub>= x<sub>2. <\/sub>\u00a0\u00a0C. x<sub>1<\/sub>&lt; x<sub>2.<\/sub>\u00a0\u00a0D.\u4ee5\u4e0a\u4e09\u79cd\u60c5\u51b5\u90fd\u6709\u53ef\u80fd\u3002<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u5de7\u89e3 \u7c7b\u6bd4\u6cd5\u00a0<\/p>\n<p>\u8bbeA\u70b9\u5230\u5730\u9762\u7684\u9ad8\u4e3ah\uff0c\u659c\u9762\u503e\u89d2\u4e3a\u03b1\u3002<\/p>\n<p>\u7403\u4eceA\u5230C,\u505a\u5e73\u629b\u8fd0\u52a8\uff0c\u6839\u636e\u5e73\u629b\u8fd0\u52a8\u7684\u89c4<\/p>\n<p>\u5f8b\u53ef\u77e5\uff1a<\/p>\n<p>x<sub>2<\/sub>\uff1dv<sub>0<\/sub>t<sub>2<\/sub>\uff0c \u00a0\u00a0\u00a0h\uff1dgt<sub>2<\/sub><sup>2<\/sup><\/p>\n<p>\u7531\u4ee5\u4e0a\u65b9\u7a0b\u89e3\u5f97x<sub>2<\/sub>\uff1dv<sub>0<\/sub><\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u7403\u4eceA\u5230B\uff0c\u5728\u659c\u9762\u4e0a\u505a\u7684\u662f\u7c7b\u5e73\u629b\u8fd0\u52a8\uff0c\u52a0\u901f\u5ea6\u6cbf\u659c\u9762\u5411\u4e0b\uff0c\u5927\u5c0f\u4e3a<\/p>\n<p>a\uff1dgsin\u03b1<\/p>\n<p>\u7c7b\u6bd4\u5e73\u629b\u8fd0\u52a8\u7684\u89c4\u5f8b\u53ef\u5f97<\/p>\n<p>x<sub>1<\/sub>\uff1dv<sub>0<\/sub>t<sub>1<\/sub><\/p>\n<p>&nbsp;<\/p>\n<p>\u7531\u4ee5\u4e0a\u65b9\u7a0b\u89e3\u5f97x<sub>1<\/sub>\uff1dv<sub>0<\/sub><\/p>\n<p>\u6bd4\u8f83x<sub>1<\/sub>\u548cx<sub>2<\/sub>\u53ef\u77e5 \u00a0\u00a0x<sub>1<\/sub>&gt; x<sub>2<\/sub>. \u00a0\u00a0\u00a0<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u3010\u7b54\u6848\u3011A<\/p>\n<p>\u4f8b11\u00a0\u00a0\u56fe4\uff0d19\u6240\u793a\u7684\u659c\u9762\u4e0a\u6709P\u3001R\u3001S\u3001T\u56db\u4e2a\u70b9\uff0cPR\uff1dRS\uff1dST\uff0c<\/p>\n<p>\u4eceP\u70b9\u6b63\u4e0a\u65b9\u7684Q\u70b9\u4ee5\u901f\u5ea6v\u6c34\u5e73\u629b\u51fa\u4e00\u4e2a\u7269\u4f53\uff0c\u7269\u4f53\u843d\u4e8e<\/p>\n<p>R\u70b9\uff0c\u82e5\u4eceQ\u70b9\u4ee5\u901f\u5ea62v\u6c34\u5e73\u629b\u51fa\u4e00\u4e2a\u7269\u4f53\uff0c\u4e0d\u8ba1\u7a7a\u6c14\u963b\u529b\uff0c<\/p>\n<p>\u5219\u7269\u4f53\u843d\u5728\u659c\u9762\u4e0a\u7684 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n<p>A..R\u4e0eS\u4e4b\u95f4\u67d0\u4e00\u70b9 \u00a0\u00a0\u00a0B.S\u70b9 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n<ol>\n<li>\u00a0S\u4e0eT\u4e4b\u95f4\u67d0\u4e00\u70b9 \u00a0\u00a0D.T\u70b9 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p>\u5de7\u89e3 \u6f14\u7ece\u6cd5<\/p>\n<p>\u6b64\u9898\u5982\u679c\u5b9a\u91cf\u8ba1\u7b97\u4f1a\u5f88\u7e41\u7410,\u800c\u6839\u636e\u5e73\u629b\u8fd0\u52a8\u7684\u89c4\u5f8b\u5b9a<\/p>\n<p>\u6027\u63a8\u7406\u5374\u5f88\u5bb9\u6613\uff0c\u53c8\u597d\u7406\u89e3\u3002<\/p>\n<p>\u7269\u4f53\u843d\u5230R\u70b9\u65f6\uff0c\u8bbe\u6c34\u5e73\u4f4d\u79fb\u4e3aL\u3002\u901f\u5ea6\u52a0\u500d\u65f6\uff0c\u5982\u679c\u8fd0\u52a8\u65f6\u95f4\u4e0d\u53d8\uff0c\u6c34\u5e73\u4f4d\u79fbx=2L\uff0c\u843d\u70b9\u521a\u597d\u5728S\u70b9\u3002\u4f46\u4e8b\u5b9e\u4e0a\u7531\u4e8e\u7ad6\u76f4\u65b9\u5411\u4e0b\u843d\u9ad8\u5ea6\u51cf\u5c0f\uff0c\u8fd0\u52a8\u65f6\u95f4\u51cf\u5c11\u4e86\uff0c\u6240\u4ee5\u6c34\u5e73\u4f4d\u79fbx\u5c0f\u4e8e2L\uff0c\u5373\u843d\u5728\u659c\u9762\u4e0aR\u4e0eS\u4e4b\u95f4\u3002\u6545\u9009A.<\/p>\n<p>\u3010\u7b54\u6848\u3011A<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u4f8b12\uff082005\u00b7\u9ec4\u5188\u6a21\u62df\uff09\u4ece\u7a7a\u4e2d\u540c\u4e00\u70b9\u6cbf\u6c34\u5e73\u65b9\u5411\u540c\u65f6\u629b\u51fa\u4e24\u4e2a\u5c0f\u7403\uff0c\u4ed6\u4eec\u521d\u901f\u5ea6\u5927\u5c0f\u5206\u522b\u4e3av<sub>1<\/sub>\u3001v<sub>2<\/sub>\uff0c\u521d\u901f\u5ea6\u65b9\u5411\u76f8\u53cd\u3002\u6c42\u7ecf\u8fc7\u591a\u957f\u65f6\u95f4\u4e24\u5c0f\u7403\u901f\u5ea6\u95f4\u7684\u5939\u89d2\u4e3a90<sup>o<\/sup>\uff1f<\/p>\n<p>&nbsp;<\/p>\n<p>\u00a0\u5de7\u89e3 \u77e2\u91cf\u56fe\u89e3\u6cd5<\/p>\n<p>\u00a0\u8bbe\u4e24\u5c0f\u7403\u629b\u51fa\u540e\u7ecf\u8fc7\u65f6\u95f4t\u5b83\u4eec\u901f\u5ea6\u4e4b\u95f4\u7684\u5939\u89d2\u4e3a90<sup>o<\/sup>\uff0c\u6b64\u65f6\u5b83\u4eec\u4e0e\u7ad6\u76f4\u65b9\u5411\u7684\u5939\u89d2\u5206\u522b\u4e3a\u03b1\u548c\u03b2\u3002\u5bf9\u4e24\u5c0f\u7403\u5206\u522b\u6784\u5efa\u901f\u5ea6\u77e2\u91cf\u4e09\u89d2\u5f62\u5982\u56fe4\uff0d20 \u6240\u793a\uff0c\u4f9d\u56fe\u53ef\u5f97<\/p>\n<p>ctan\u03b1\uff1d \uff0ctan\u03b2\uff1d\u00a0\u00a0\u00a0\u00a0\uff081\uff09<\/p>\n<p>\u53c8\u2235\u03b1\uff0b\u03b2\uff1d90<sup>o<\/sup>\uff0c<\/p>\n<p>\u00a0\u2234ctan\u03b1\uff1dtan\u03b2 \u00a0\u00a0\uff082\uff09<\/p>\n<p>\u7531\uff081\uff09\uff082\uff09\u4e24\u5f0f\u5f97\u5230\uff1a\uff1d\uff0c<\/p>\n<p>\u00a0\u5373 \u00a0t\uff1d<\/p>\n<p>\u00a0\u00a0\u3010\u7b54\u6848\u3011<\/p>\n<p>\u4f8b 13 \uff082005\u00b7\u65e0\u9521\u6a21\u62df\uff09\u5982\u56fe4\uff0d21 \u6240\u793a\uff0c\u5c0f\u7403a\u3001b\u5206\u522b\u4ee5\u5927\u5c0f\u76f8\u7b49\u3001\u65b9\u5411\u76f8\u53cd\u7684\u521d\u901f<\/p>\n<p>\u5ea6\u4ece\u4e09\u89d2\u5f62\u659c\u9762\u7684\u9876\u70b9\u540c\u65f6\u6c34\u5e73\u629b\u51fa\u3002\u5df2\u77e5\u4e24\u659c\u9762\u7684\u503e\u89d2\u5206\u522b\u4e3a\u03b8<sub>1<\/sub>\u548c\u03b8<sub>2<\/sub>\uff0c\u6c42\u5c0f\u7403a\u3001b<\/p>\n<p>\u843d\u5230\u659c\u9762\u4e0a\u6240\u7528\u65f6\u95f4\u4e4b\u6bd4\u662f\u591a\u5c11\uff1f\uff08\u8bbe\u4e24\u659c\u9762\u8db3\u591f\u957f\uff09 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<sub>\u00a0<\/sub>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n<p>\u5de7\u89e3 \u77e2\u91cf\u56fe\u89e3\u6cd5<\/p>\n<p>\u00a0\u00a0\u00a0\u8bbe\u5c0f\u7403a\u3001b\u8fd0\u52a8\u65f6\u95f4\u5206\u522b\u4e3at<sub>a\u3001<\/sub>t<sub>b<\/sub>\uff0c\u4f5c\u51fa\u5b83\u4eec\u7684<\/p>\n<p>\u4f4d\u79fb\u77e2\u91cf\u56fe\uff0c\u5982\u56fe4-22\u6240\u793a\u3002\u4f9d\u56fe\u53ef\u5f97\uff1a<\/p>\n<p>tan\u03b8<sub>1<\/sub>\uff1d<\/p>\n<p>tan\u03b8<sub>2<\/sub>\uff1d<\/p>\n<p>\u7531\u4ee5\u4e0a\u4e24\u5f0f\u53ef\u5f97\uff1a<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u3010\u7b54\u6848\u3011<\/p>\n<p>\u4f8b 14\u00a0\uff082005\u00b7\u82cf\u5dde\u6a21\u62df\uff09\u5982\u56fe4\uff0d23 \u6240\u793a\uff0c\u7528\u7ef3\u60ac\u6302\u7684\u94fe\u6761\u7531\u76f4\u5f84\u4e3a5cm\u7684\u5706\u73af\u8fde\u63a5\u800c\u6210\uff0c\u67aa\u7ba1\u6c34\u5e73\u653e\u7f6e\u4e14\u8ddf\u73af4\u7684\u5706\u5fc3\u5728\u540c\u4e00\u6c34\u5e73\u9762\u4e0a\u3002L\uff1d10m\uff0c\u5b50\u5f39\u51fa\u53e3\u901f\u5ea6100m\/s\u3002\u4e0d\u8ba1\u7a7a\u6c14\u963b\u529b\uff0cg\uff1d10m\/s<sup>2<\/sup>\u3002\u5728\u5b50\u5f39\u5c04\u51fa\u524d0.1s\u70e7\u65ad\u7ef3\uff0c\u5b50\u5f39\u5c06\u7a7f\u8fc7\u7b2c\u51e0\u4e2a\u73af\uff1f<\/p>\n<p>\u00a0\u5de7\u89e3 \u63a8\u7406\u6cd5<\/p>\n<p>\u5c06\u5b50\u5f39\u7684\u5e73\u629b\u8fd0\u52a8\u4e0e\u94fe\u6761\u7684\u81ea\u7531\u843d\u4f53\u8fd0\u52a8\u60c5\u51b5\u8fdb<\/p>\n<p>\u884c\u6bd4\u8f83\u63a8\u7406\uff0c\u5b50\u5f39\u98de\u8fc7\u6c34\u5e73\u8ddd\u79bbL\u6240\u7528\u65f6\u95f4t\uff1dL\/v<sub>0<\/sub>\uff1d0.1s\uff0c\u57280.1s<\/p>\n<p>\u5185\u5b50\u5f39\u7ad6\u76f4\u65b9\u5411\u4e0b\u964d\u4f4d\u79fby\uff1dgt<sup>2<\/sup>\uff1d\u00d710\u00d70.1<sup>2<\/sup>\uff1d0.05m\u3002\u7ef3\u65ad\u540e<\/p>\n<p>\u73af\u4e0b\u964d\u4f4d\u79fby<sup>\u2032<\/sup>\uff1dg\uff08t\uff0b0.1\uff09<sup>2<\/sup>\uff1d0.2m\u3002\u6545\u5b50\u5f39\u7a7f\u8fc7\u73af1\u3002<\/p>\n<p>\u3010\u7b54\u6848\u3011\u7a7f\u8fc7\u7b2c1\u4e2a\u73af<\/p>\n<p>\u4f8b15 \u00a0\uff082004\u00b7\u9ad8\u8003\u6e56\u5317\u6e56\u5357\u7406\u7efc\u8bd5\u9898\uff09\u4e00\u6c34\u5e73\u653e\u7f6e\u7684\u6c34\u7ba1\uff0c\u8ddd\u5730\u9762\u9ad8h\uff1d1.8m\uff0c\u7ba1\u5185\u6a2a\u622a\u9762\u79efS\uff1d2.0cm<sup>2<\/sup>\u3002\u6c34\u4ece\u7ba1\u53e3\u5904\u4ee5\u4e0d\u53d8\u7684\u901f\u5ea6v\uff1d2.0m\/s\u6e90\u6e90\u4e0d\u65ad\u5730\u6cbf\u6c34\u5e73\u65b9\u5411\u5c04\u51fa\uff0c\u8bbe\u51fa\u53e3\u5904\u6a2a\u622a\u9762\u4e0a\u5404\u5904\u6c34\u7684\u901f\u5ea6\u90fd\u76f8\u540c\uff0c\u5e76\u5047\u8bbe\u6c34\u6d41\u5728\u7a7a\u4e2d\u4e0d\u6563\u5f00\u3002\u53d6\u91cd\u529b\u52a0\u901f\u5ea6g\uff1d10m\/s<sup>2<\/sup>,\u4e0d\u8ba1\u7a7a\u6c14\u963b\u529b\u3002\u6c42\u6c34\u6d41\u7a33\u5b9a\u540e\u5728\u7a7a\u4e2d\u6709\u591a\u5c11\u7acb\u65b9\u7c73\u7684\u6c34\u3002<\/p>\n<p>\u5de7\u89e3 \u6a21\u578b\u6cd5<\/p>\n<p>\u00a0\u8fd9\u9053\u9898\u8003\u67e5\u7684\u7269\u7406\u601d\u7ef4\u65b9\u6cd5\u4e3b\u8981\u662f\u7b49\u6548\u8f6c\u6362\u6cd5\u3002\u6211\u4eec\u5c06\u7a7a\u4e2d\u629b\u7269\u7ebf\u6c34\u67f1\u7684\u4f53\u79ef\u7b49\u6548\u8f6c\u6362\u4e3a\u5728\u65f6\u95f4t\uff1d\u5185\u4ece\u7ba1\u4e2d\u6d41\u51fa\u7684\u6c34\u7684\u4f53\u79ef\uff0c\u5e76\u8bbe\u6c34\u67f1\u4e0d\u6563\u5f00\u3002<\/p>\n<p>\u8bbe\u6c34\u7531\u55b7\u53e3\u5904\u5230\u843d\u5730\u6240\u7528\u65f6\u95f4\u4e3at\uff0c\u5355\u4f4d\u65f6\u95f4\u5185\u6c34\u7ba1\u55b7\u51fa\u7684\u6c34\u91cf\u4e3aQ\uff0c\u6c34\u6d41\u7a33\u5b9a\u540e\u5728\u7a7a\u4e2d\u6c34\u7684\u603b\u91cf\u4e3aV\u3002\u6839\u636e\u9898\u610f\u6709<\/p>\n<p>Q\uff1dSv<\/p>\n<p>V\uff1dQt<\/p>\n<p>\u518d\u6839\u636e\u81ea\u7531\u843d\u4f53\u8fd0\u52a8\u7684\u89c4\u5f8b\u6709<\/p>\n<p>h\uff1dgt<sup>2<\/sup><\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u8054\u7acb\u4ee5\u4e0a\u4e09\u5f0f\u5f97V\uff1dSv\uff0c<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u4ee3\u5165\u6570\u636e\u5f97V\uff1d2.4\u00d710<sup>\uff0d4<\/sup>m<sup>3<\/sup><\/p>\n<p>\u3010\u7b54\u6848\u30112.4\u00d710<sup>\uff0d4<\/sup>m<sup>3<\/sup><\/p>\n<p>&nbsp;<\/p>\n<p>\u4f8b 16\u00a0\u6709\u4e00\u76f4\u5f84\u4e3ad\uff0c\u9ad8\u4e3ah\uff0c\u5185\u58c1\u5149\u6ed1\u7684\u94a2\u7b52\uff0c\u4e00\u5c0f\u94a2\u7403\u4ee5\u521d\u901f\u5ea6v<sub>0<\/sub>\u4ece\u7b52\u4e0a\u8fb9\u7f18A\u5904\u6c34\u5e73\u629b\u51fa\uff0c\u4e0e\u94a2\u7b52\u5185\u58c1\u53d1\u751f\u65e0\u80fd\u91cf\u635f\u5931\u7684\u78b0\u649e\u540e\u6070\u597d\u53c8\u843d\u5230A\u70b9\u6b63\u4e0b\u65b9\u6c34\u5e73\u9762\u4e0a\u7684B\u70b9\uff0c\u5982\u56fe4\uff0d24\uff08a\uff09\u6240\u793a\uff0c\u6c42\u94a2\u7403\u4e0e\u7b52\u5185\u58c1\u7684\u78b0\u649e\u6b21\u6570\u3002<\/p>\n<p>\u5de7\u89e3 \u5bf9\u79f0\u6cd5<\/p>\n<p>\u7531\u4e8e\u5c0f\u7403\u4e0e\u7b52\u58c1\u53d1\u751f\u7684\u662f\u65e0\u80fd\u91cf\u635f\u5931\u7684\u78b0\u649e\uff0c\u6240\u4ee5\u5c0f\u7403\u4e0e\u7b52\u58c1\u7b2c\u4e00\u6b21\u78b0\u649e\u540e\u5411\u53f3\u4f5c\u659c\u4e0b\u629b\u8fd0\u52a8\uff0c\u89c1\u56fe4\uff0d24\uff08b\uff09\u6240\u793a\uff0c\u628aCD\u6240\u5728\u7684\u5e73\u9762\u89c6\u4e3a\u201c\u955c\u9762\u201d\uff0c\u7531\u5e73\u9762\u955c\u7684\u201c\u7269\u50cf\u5bf9\u79f0\u6027\u201d\uff0c\u53ef\u628a\u5c0f\u7403\u7684\u6574\u4e2a\u8fc7\u7a0b\u7b49\u6548\u4e8e\u56fe \u4e2d\u4eceA<sup>\u2032<\/sup>\u70b9\u51fa\u53d1\u4ee5v<sub>0<\/sub><sup>\u2032<\/sup>\uff1d\uff0dv<sub>0<\/sub>\u7684\u5e73\u629b\u8fd0\u52a8\u3002\u8bbe\u5c0f\u7403ts\u843d<\/p>\n<p>\u5730\uff0c\u5219\u6709<\/p>\n<p>h\uff1dgt<sup>2<\/sup>\u00a0\u00a0\u2234t\uff1d\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(1)<\/p>\n<p>B<sup>\u2018<\/sup>B<sup>\u2019\u2018<\/sup>=S=v<sub>0<\/sub>t\uff1dv<sub>0<\/sub>\u00a0\u00a0\uff082\uff09<\/p>\n<p>&nbsp;<\/p>\n<p>\u8bbe\u5c0f\u7403\u5728\u7b52\u5185\u4e0e\u5185\u58c1\u78b0\u649e\u7684\u6b21\u6570\u4e3an\uff0c\u5219<\/p>\n<p>n\uff1ds\/d=<\/p>\n<p>\u3010\u7b54\u6848\u3011<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u4f8b17 \u00a0\u96e8\u4f1e\u8fb9\u7f18\u534a\u5f84\u4e3ar\uff0c\u4e14\u9ad8\u51fa\u5730\u9762\u4e3ah\uff0c\u82e5\u96e8\u4f1e\u4ee5\u89d2\u901f\u5ea6\u03c9\u65cb\u8f6c\uff0c\u6c42\u96e8\u6ef4\u81ea\u4f1e\u8fb9\u7f18\u7529\u51fa\u540e\u843d\u4e8e\u5730\u9762\u6210\u4e00\u5927\u5706\u5708\u7684\u534a\u5f84R\u3002<\/p>\n<p>\u00a0\u00a0\u5de7\u89e3 \u51e0\u4f55\u6cd5\u00a0<\/p>\n<p>\u7531\u9898\u610f\u53ef\u77e5\uff0c\u8fd9\u662f\u4e00\u4e2a\u7acb\u4f53\u8fd0\u52a8\u95ee\u9898\uff0c\u5177\u6709\u591a\u89c6\u89d2\u6027\uff0c\u5982\u679c\u9009\u62e9\u6070\u5f53\u7684\u89c6\u89d2\u5c06\u5b83\u8f6c\u5316\u4e3a\u5e73\u9762\u95ee\u9898\u540e\uff0c\u51e0\u4f55\u5173\u7cfb\u6e05\u695a\u5730\u663e\u793a\u51fa\u6765\uff0c\u4fbf\u53ef\u786e\u5b9a\u7269\u7406\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb<\/p>\n<p>\u96e8\u6ef4\u8fd0\u52a8\u7684\u4fef\u89c6\u56fe\u5982\u56fe\uff0c\u7531\u56fe4\uff0d25\u53ef\u77e5\uff1a<\/p>\n<p>s\uff1dvt\uff0c h\uff1dgt<sup>2<\/sup>\u00a0\u53cav\uff1d\u03c9r<\/p>\n<p>\u8054\u5408\u89e3\u5f97 s\uff1d\u3002 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n<p>\u7531\u51e0\u4f55\u5173\u7cfb\u5f97R\uff1d<\/p>\n<p>\uff1d<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u3010\u7b54\u6848\u3011<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u4f8b18\u00a0\u00a0\uff082005\u00b7\u6b66\u6c49\u7edf\u8003\uff09\u67d0\u79cd\u53d8\u901f\u81ea\u884c\u8f66\uff0c\u6709\u516d\u4e2a\u98de\u8f6e\u548c\u4e09\u4e2a\u94fe\u8f6e\uff0c\u5982\u56fe4\uff0d26\u00a0\u6240\u793a\uff0c\u94fe\u8f6e\u548c\u98de\u8f6e\u7684\u9f7f\u6570\u5982\u4e0b\u8868\u6240\u793a\u3002\u524d\u540e\u8f6e\u76f4\u5f84\u5747\u4e3a660mm\uff0c\u4eba\u9a91\u8be5\u8f66\u884c\u8fdb\u901f\u5ea6\u4e3a4m\/s\u65f6\uff0c\u811a\u8e29\u8e0f\u677f\u505a\u5300\u901f\u5706\u5468\u8fd0\u52a8\u7684\u89d2\u901f\u5ea6\u6700\u5c0f\u503c\u7ea6\u4e3a<\/p>\n<table>\n<tbody>\n<tr>\n<td>\n<p>\u540d\u00a0\u79f0<\/p>\n<\/td>\n<td colspan=\"3\">\n<p>\u94fe\u00a0\u00a0\u8f6e<\/p>\n<\/td>\n<td colspan=\"6\">\n<p>\u98de\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u8f6e<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u9f7f\u6570N\/\u4e2a<\/p>\n<\/td>\n<td>\n<p>48<\/p>\n<\/td>\n<td>\n<p>38<\/p>\n<\/td>\n<td>\n<p>28<\/p>\n<\/td>\n<td>\n<p>15<\/p>\n<\/td>\n<td>\n<p>16<\/p>\n<\/td>\n<td>\n<p>18<\/p>\n<\/td>\n<td>\n<p>21<\/p>\n<\/td>\n<td>\n<p>24<\/p>\n<\/td>\n<td>\n<p>28<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\nA .1.9rad\/s \u00a0\u00a0\u00a0\u00a0\u00a0B.3.8rad\/s \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n<p>C.6.5rad\/s \u00a0\u00a0\u00a0\u00a0\u00a0D.7.1rad\/s \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n<p>\u5de7\u89e3 \u6a21\u578b\u6cd5\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n<p>\u8f66\u884c\u901f\u5ea6\u4e0e\u524d\u540e\u8f6e\u8fb9\u7f18\u7684\u7ebf\u901f\u5ea6\u76f8\u7b49\uff0c\u6545<\/p>\n<p>\u540e\u8f6e\u8fb9\u7f18\u7684\u7ebf\u901f\u5ea6\u4e3a4m\/s,\u540e\u8f6e\u7684\u89d2\u901f\u5ea6\u03c9\uff1dv\/R\u224812rad\/s<\/p>\n<p>\u98de\u8f6e\u4e0e\u540e\u8f6e\u4e3a\u540c\u8f74\u88c5\u7f6e\uff0c\u6545\u98de\u8f6e\u7684\u89d2\u901f\u5ea6\u03c9<sub>1<\/sub>\uff1d\u03c9\uff1d12rad\/s<\/p>\n<p>\u98de\u8f6e\u4e0e\u94fe\u8f6e\u662f\u7528\u94fe\u6761\u8fde\u63a5\u7684\uff0c\u6545\u94fe\u8f6e\u4e0e\u98de\u8f6e\u7ebf\u901f\u5ea6\u76f8\u540c\uff0c\u6240\u4ee5\u03c9<sub>1<\/sub>r<sub>1<\/sub>\uff1d\u03c9<sub>2<\/sub>r<sub>2<\/sub>\uff0cr<sub>1<\/sub>\u4e0e r<sub>2<\/sub>\u5206\u522b\u4e3a<\/p>\n<p>\u98de\u8f6e\u548c\u94fe\u8f6e\u7684\u534a\u5f84\uff0c\u56e0\u8f6e\u5468\u957fL\uff1dN\u0394L\uff1d2\u03c0r\uff0cN\u4e3a\u9f7f\u6570\uff0c\u0394L\u4e3a\u4e24\u90bb\u9f7f\u95f4\u7684\u5f27\u957f\uff0c\u6545r\u221dN\uff0c<\/p>\n<p>&nbsp;<\/p>\n<p>\u6240\u4ee5\u03c9<sub>1<\/sub>N<sub>1<\/sub>\uff1d\u03c9<sub>2<\/sub>N<sub>2<\/sub>\u3002\u53c8\u8e0f\u677f\u4e0e\u94fe\u8f6e\u540c\u8f74\uff0c\u811a\u8e29\u8e0f\u677f\u7684\u89d2\u901f\u5ea6\u03c9<sub>3<\/sub>\uff1d\u03c9<sub>2<\/sub>\uff0c\u5219\u03c9<sub>3<\/sub>\uff1d\u03c9<sub>1<\/sub>N<sub>1<\/sub>\/N<sub>2<\/sub>\uff0c\u8981\u4f7f\u03c9<sub>3<\/sub>\u6700\u5c0f\uff0c\u5219N<sub>1<\/sub>\uff1d15\uff0cN<sub>2<\/sub>\uff1d48\uff0c\u6545\u03c9<sub>3<\/sub>\uff1d12\u00d715\/48rad\/s\uff1d3.75rad\/s\u22483.8rad\/s<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u3010\u7b54\u6848\u3011B<\/p>\n<p>\u4f8b19 \u00a0\uff082005\u00b7\u6e56\u5317\u516b\u6821\u8054\u8003\uff09\u6709\u4e00\u79cd\u5927\u578b\u6e38\u620f\u5668\u68b0\uff0c\u5b83\u662f\u4e00\u4e2a\u5706\u7b52\u578b\u5927\u578b\u5bb9\u5668\uff0c\u7b52\u58c1\u7ad6\u76f4\uff0c\u6e38\u5ba2\u8fdb\u5165\u5bb9\u5668\u540e\u9760\u7b52\u58c1\u7ad9\u7acb\uff0c\u5f53\u5706\u7b52\u5f00\u59cb\u8f6c\u52a8\u540e\uff0c\u8f6c\u901f\u52a0\u5feb\u5230\u4e00\u5b9a\u7a0b\u5ea6\u65f6\uff0c\u7a81\u7136\u5730\u677f\u584c\u843d\uff0c\u6e38\u5ba2\u53d1\u73b0\u81ea\u5df1\u6ca1\u6709\u843d\u4e0b\u53bb\uff0c\u8fd9\u662f\u56e0\u4e3a<\/p>\n<ol>\n<li>\u6e38\u5ba2\u5904\u4e8e\u8d85\u91cd\u72b6\u6001\uff1b<\/li>\n<li>\u6e38\u5ba2\u5904\u4e8e\u5931\u91cd\u72b6\u6001\uff1b<\/li>\n<li>\u6e38\u5ba2\u53d7\u5230\u7684\u6469\u64e6\u529b\u4e0e\u91cd\u529b\u5e73\u8861\uff1b<\/li>\n<li>\u7b52\u58c1\u5bf9\u6e38\u5ba2\u7684\u652f\u6301\u529b\u4e0e\u91cd\u529b\u5e73\u8861\u3002<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p>\u5de7\u89e3 \u6a21\u5f0f\u6cd5<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u8fd9\u662f\u4e00\u79cd\u5706\u5468\u8fd0\u52a8\u6a21\u5f0f\u9898\uff0c\u4eba\u5728\u6c34\u5e73\u65b9\u5411\u505a\u5706\u5468\u8fd0\u52a8\uff0c\u6240\u53d7\u7684\u652f\u6301\u529b\u6307\u5411\u5706\u5fc3\uff0c\u63d0\u4f9b\u5411\u5fc3\u529b\u3002\u800c\u5728\u7ad6\u76f4\u65b9\u5411\u53d7\u529b\u5e73\u8861\uff0c\u5373\u91cd\u529b\u4e0e\u6469\u64e6\u529b\u5e73\u8861\u3002\u6240\u4ee5C\u5bf9\u3002<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u3010\u7b54\u6848\u3011C<\/p>\n<p>&nbsp;<\/p>\n<p>\u4f8b20 \u00a0\u7528\u4e00\u6839\u7ec6\u7ebf\u4e00\u7aef\u7cfb\u4e00\u5c0f\u7403\uff08\u53ef\u89c6\u4e3a\u8d28\u70b9\uff09\uff0c\u53e6\u4e00\u7aef\u56fa<\/p>\n<p>\u5b9a\u5728\u4e00\u5149\u6ed1\u5706\u9525\u9876\u4e0a\uff0c\u5982\u56fe4\uff0d27\u6240\u793a\uff0c\u8bbe\u5c0f\u7403\u5728\u6c34\u5e73\u9762\u5185<\/p>\n<p>\u505a\u5300\u901f\u5706\u5468\u8fd0\u52a8\u7684\u89d2\u901f\u5ea6\u4e3a\u03c9\uff0c\u7ebf\u7684\u5f20\u529b\u4e3aF<sub>T<\/sub>,\u5219F<sub>T<\/sub>\u968f<\/p>\n<p>\u03c9<sup>2<\/sup>\u53d8\u5316\u7684\u56fe\u50cf\u662f\u56fe4\uff0d28\u4e2d\u7684<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u5de7\u89e3 \u4e34\u754c\u6761\u4ef6\u6cd5<\/p>\n<p>\u5f53\u03c9\u8f83\u5c0f\u65f6\uff0c\u5c0f\u7403\u53d7\u529b\u5982\u56fe4-29(\u7532)\u6240<\/p>\n<p>\u793a\uff0c\u7531\u725b\u987f\u7b2c\u4e8c\u5b9a\u5f8b\u5f97<\/p>\n<p>\u00a0F<sub>1<\/sub>sin\u03b8\uff0dF<sub>2<\/sub>cos\u03b8\uff1dmL\u03c9<sup>2<\/sup>sin\u03b8<\/p>\n<p>\u00a0F<sub>1<\/sub>cos\u03b8\uff0dF<sub>2<\/sub>sin\u03b8\uff0dmg\uff1d0<\/p>\n<p>\u89e3\u5f97\u7ef3\u5b50\u62c9\u529b<\/p>\n<p>F<sub>T<\/sub>\uff1dF<sub>1<\/sub>=mL\u03c9<sup>2<\/sup>sin<sup>2<\/sup>\u03b8\uff0bmgcos\u03b8<\/p>\n<p>\u5f53\u03c9\u8f83\u5927\u65f6\u5c0f\u7403\u53d7\u529b\u5982\u56fe4-29(\u4e59)\u6240\u793a\uff0c\u7531\u725b\u987f\u7b2c\u4e8c\u5b9a\u5f8b\u5f97F<sub>1<\/sub>sin\u03b1\uff1dmL\u03c9<sup>2<\/sup>sin\u03b1<\/p>\n<p>\u89e3\u5f97\u7ef3\u5b50\u62c9\u529bF<sub>T<\/sub>\uff1dF<sub>1<\/sub>=mL\u03c9<sup>2<\/sup>\uff0c\u6545\u9009\u9879C\u6b63\u786e<\/p>\n<p>\u3010\u7b54\u6848\u3011C<\/p>\n<p>\u4f8b21\u00a0\uff082005\u00b7\u6c5f\u82cf\u5357\u901a\uff09 \u5982\u56fe4\uff0d30\u6240\u793a\uff0c\u5177\u6709\u5706\u9525\u5f62\u72b6\u7684<\/p>\n<p>\u56de\u8f6c\u5668\uff08\u9640\u87ba\uff09\uff0c\u7ed5\u5b83\u7684\u8f74\u5728\u5149\u6ed1\u7684\u684c\u9762\u4e0a\u4ee5\u89d2\u901f\u5ea6\u03c9\u5feb\u901f\u65cb\u8f6c\uff0c<\/p>\n<p>\u540c\u65f6\u4ee5\u901f\u5ea6v\u5411\u5de6\u8fd0\u52a8\uff0c\u82e5\u56de\u8f6c\u5668\u7684\u8f74\u4e00\u76f4\u4fdd\u6301\u7ad6\u76f4\uff0c\u4e3a\u4f7f\u56de<\/p>\n<p>\u8f6c\u5668\u4ece\u684c\u5b50\u7684\u8fb9\u7f18\u6ed1\u51fa\u65f6\u4e0d\u4f1a\u4e0e\u684c\u5b50\u8fb9\u7f18\u53d1\u751f\u78b0\u649e\uff0c\u901f\u5ea6v\u81f3<\/p>\n<p>&nbsp;<\/p>\n<p>\u5c11\u5e94\u7b49\u4e8e\uff08\u8bbe\u56de\u8f6c\u5668\u7684\u9ad8\u4e3aH\uff0c\u5e95\u9762\u534a\u5f84\u4e3aR\uff0c\u4e0d\u8ba1\u7a7a\u6c14\u963b\u529b\u5bf9\u56de\u8f6c\u5668\u7684\u4f5c\u7528\uff09<\/p>\n<ol>\n<li>\u03c9R \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0B. \u03c9H<\/li>\n<\/ol>\n<p>C.R D.R<\/p>\n<p>\u5de7\u89e3 \u4e34\u754c\u6761\u4ef6\u6cd5<\/p>\n<p>\u00a0\u00a0\u00a0\u5176\u5b9e\u56de\u8f6c\u5668\u80fd\u5426\u78b0\u5230\u684c\u5b50\u8fb9\u7f18\u4e0e\u5b83\u8f6c\u52a8\u60c5\u51b5\u65e0\u5173\uff0c\u800c\u662f\u53d6\u51b3\u4e8e\u5b83\u8fd0\u52a8\u7684\u901f\u5ea6\u548c\u81ea\u8eab\u7684\u5f62\u72b6\uff0c\u6b64\u9898\u7684\u4e34\u754c\u6761\u4ef6\u662f\u56de\u8f6c\u5668\u7684\u4e0a\u7f18\u521a\u597d\u4e0e\u684c\u7f18\u78b0\u5230\uff0c\u5982\u56fe4\uff0d31\u6240\u793a\u3002\u6839\u636e\u5e73\u629b\u8fd0\u52a8\u7684\u89c4\u5f8b\u53ef\u5f97<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0R\uff1dvt<\/p>\n<p>H\uff1dgt<sup>2<\/sup><\/p>\n<p>\u7531\u4e0a\u5f0f\u89e3\u5f97 v\uff1dR\u00a0\u00a0\u5373\u9009D.<\/p>\n<p>\u3010\u7b54\u6848\u3011D<\/p>\n<p>\u4f8b22\u00a0\u00a0\u6709\u4e00\u79cd\u6742\u6280\u8868\u6f14\u53eb\u201c\u98de\u8f66\u8d70\u58c1\u201d\uff0c\u7531\u6742\u6280\u6f14\u5458\u9a7e\u9a76\u6469\u6258\u8f66\u6cbf\u5149\u6ed1\u5706\u53f0\u5f62\u8868\u6f14\u53f0\u7684\u4fa7\u58c1\u9ad8\u901f\u884c\u9a76\uff0c\u505a\u5300\u901f\u5706\u5468\u8fd0\u52a8\u3002\u56fe4\uff0d32 \u4e2d\u7c97\u7ebf\u5706\u8868\u793a\u6469\u6258\u8f66\u7684\u884c\u9a76\u8f68\u8ff9\uff0c\u8f68\u8ff9\u79bb\u5730\u9762\u9ad8\u5ea6\u4e3ah\u3002\u4e0b\u5217\u8bf4\u6cd5\u4e2d\u6b63\u786e\u7684\u662f<\/p>\n<ol>\n<li>h\u8d8a\u9ad8\u6469\u6258\u8f66\u5bf9\u4fa7\u58c1\u7684\u538b\u529b\u8d8a\u5927\uff1b<\/li>\n<li>h\u8d8a\u9ad8\u6469\u6258\u8f66\u505a\u5706\u5468\u8fd0\u52a8\u7684\u5411\u5fc3\u529b\u5c06\u8d8a\u5927\uff1b<\/li>\n<li>h\u8d8a\u9ad8\u6469\u6258\u8f66\u505a\u5706\u5468\u8fd0\u52a8\u7684\u5468\u671f\u5c06\u8d8a\u957f\uff1b<\/li>\n<li>h\u8d8a\u9ad8\u6469\u6258\u8f66\u505a\u5706\u5468\u8fd0\u52a8\u7684\u7ebf\u901f\u5ea6\u5c06\u8d8a\u5927\u3002<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p>\u5de7\u89e3 \u6f14\u7ece\u6cd5<\/p>\n<p>\u00a0\u00a0\u8bbe\u4fa7\u58c1\u4e0e\u7ad6\u76f4\u65b9\u5411\u7684\u5939\u89d2\u4e3a\u03b1\uff0c\u6f14\u5458\u4e0e\u6469\u6258\u8f66\u53d7\u529b\u5982\u56fe4\uff0d33 \u6240\u793a\uff0c\u7531\u56fe\u53ef\u5f97<\/p>\n<p>\u4fa7\u58c1\u5bf9\u5c0f\u7403\u7684\u652f\u6301\u529bN\uff1dmg\/sin\u03b1 \u2234\u8f66\u5bf9\u4fa7\u58c1\u7684\u538b\u529b\u4e0d\u53d8<\/p>\n<p>\u5411\u5fc3\u529bF<sub>n<\/sub>\uff1dmg\/tan\u03b1\u4e0d\u53d8<\/p>\n<p>\u7531\u725b\u987f\u7b2c\u4e8c\u5b9a\u5f8b\u53ef\u77e5mg\/tan\u03b1\uff1dmR(2\u03c0\/T)<sup>2<\/sup>\u56e0\u4e3ah\u8d8a\u9ad8\uff0cR\u8d8a\u5927\uff0c\u6240\u4ee5\u5468\u671fT\u8d8a\u957f\uff0c<\/p>\n<p>\u518d\u7531mg\/tan\u03b1\uff1dmv<sup>2<\/sup>\/R\u53ef\u77e5\uff0c\u968f\u7740R\u589e\u5927\uff0c\u7ebf\u901f\u5ea6v\u8981\u589e\u5927<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u3010\u7b54\u6848\u3011CD<\/p>\n<p>&nbsp;<\/p>\n<p>\u4f8b23\u00a0\u00a0\u5982\u56fe4\uff0d34 \u6240\u793a\uff0c\u6ed1\u96ea\u8005\u6ed1\u5230\u5706\u5f27\u5f62\u7684\u5c71\u5761\u5904\uff0c\u5706\u5f27\u7684\u534a\u5f84\u4e3aR\uff0c\u957f\u5ea6\u662f\u5706\u5468\u957f\u76841\/4.\u4e3a\u4e86\u80fd\u817e\u7a7a\u98de\u8d77\u5e76\u76f4\u63a5\u843d\u5230\u5730\u9762\u4e0a\uff0c\u6ed1\u96ea\u8005\u5728\u5761\u9876\u7684\u901f\u5ea6\u81f3\u5c11\u5e94\u4e3a\u591a\u5c11\uff1f\u8fd9\u65f6\u843d\u5730\u70b9\u79bb\u5761\u9876\u7684\u6c34\u5e73\u8ddd\u79bb\u4e3a\u591a\u5c11\uff1f<\/p>\n<p>\u5de7\u89e3 \u4e34\u754c\u6761\u4ef6\u6cd5<\/p>\n<p>\u6070\u80fd\u817e\u7a7a\u98de\u8d77\u65f6\u6709<\/p>\n<p>mg\uff1d<\/p>\n<p>\u2234\u5728\u5761\u9876\u7684\u6700\u5c0f\u901f\u5ea6\u4e3av\uff1d<\/p>\n<p>\u7531\u5e73\u629b\u8fd0\u52a8\u7684\u89c4\u5f8b\u6709<\/p>\n<p>R\uff1dgt<sup>2<\/sup>\u00a0\u00a0\u00a0\u00a0S\uff1dvt<\/p>\n<p>\u2234\u843d\u70b9\u8ddd\u5761\u9876\u7684\u6c34\u5e73\u8ddd\u79bb\u4e3aS\uff1dR<\/p>\n<p>\u3010\u7b54\u6848\u3011\uff0cR<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u4f8b24\u00a0\u00a0\u5982\u56fe4\uff0d35\uff08a\uff09\u6240\u793a\uff0c\u662f\u53cc\u4eba\u82b1\u6837\u6ed1\u51b0\u8fd0\u52a8\u4e2d\u7537\u8fd0\u52a8\u5458\u62c9\u7740\u5973\u8fd0\u52a8\u5458\u505a\u5706\u9525\u6446\u8fd0\u52a8\u7684\u7cbe\u5f69\u573a\u9762\uff0c\u82e5\u5973\u8fd0\u52a8\u5458\u505a\u5706\u9525\u6446\u8fd0\u52a8\u65f6\u548c\u7ad6\u76f4\u65b9\u5411\u7684\u5939\u89d2\u4e3a\u03b8\uff0c\u5973\u8fd0\u52a8\u5458\u7684\u8d28\u91cf\u4e3am\uff0c\u8f6c\u52a8\u8fc7\u7a0b\u4e2d\u5973\u8fd0\u52a8\u5458\u7684\u91cd\u5fc3\u505a\u5300\u901f\u5706\u5468\u8fd0\u52a8\u7684\u534a\u5f84\u4e3ar\uff0c\u6c42\u8fd9\u65f6\u7537\u8fd0\u52a8\u5458\u5bf9\u5973\u8fd0\u52a8\u5458\u7684\u62c9\u529b\u5927\u5c0f\u53ca\u4e24\u4eba\u8f6c\u52a8\u7684\u89d2\u901f\u5ea6\u3002<\/p>\n<p>\u5de7\u89e3 \u6a21\u578b\u6cd5<\/p>\n<p>\u8fd9\u662f\u4e00\u4e2a\u5706\u5468\u8fd0\u52a8\u6a21\u578b\u95ee\u9898\uff0c\u5973\u8fd0\u52a8\u5458<\/p>\n<p>\u53ef\u770b\u4f5c\u4e00\u4e2a\u8d28\u70b9\uff0c\u53d7\u529b\u5982\u56fe4\uff0d35\uff08b\uff09\u6240\u793a\uff0c<\/p>\n<p>\u7531\u56fe\u53ef\u77e5\uff0c\u5973\u8fd0\u52a8\u5458\u53d7\u62c9\u529b\u5927\u5c0f<\/p>\n<p>F\uff1dmg\/cos\u03b8<\/p>\n<p>\u7531\u5411\u5fc3\u529b\u516c\u5f0f\u53ef\u5f97<\/p>\n<p>&nbsp;<\/p>\n<p>mgtan\u03b8\uff1dm\u03c9<sup>2<\/sup>r<\/p>\n<p>\u2234\u8f6c\u52a8\u89d2\u901f\u5ea6\u03c9\uff1d<\/p>\n<p>\u3010\u7b54\u6848\u3011mg\/cos\u03b8 \u00a0\u00a0\u00a0\u03c9\uff1d<\/p>\n<p>\u4f8b25\u00a0\u5982\u56fe4\uff0d36\u00a0\u6240\u793a\uff0c\u652f\u67b6\u8d28\u91cf\u4e3aM\uff0c\u7f6e\u4e8e\u7c97\u7cd9\u6c34\u5e73\u5730\u9762\u4e0a\uff0c\u8f6c\u8f74O\u5904\u60ac\u6302\u4e00\u4e2a\u8d28\u91cf\u4e3am\u7684\u5c0f\u7403\uff0c\u60ac\u7ebf\u957f\u4e3aL\uff0c\u5f53\u5c0f\u7403\u5728\u7ad6\u76f4\u5e73\u9762\u5185\u505a\u5706\u5468\u8fd0\u52a8\u65f6\uff0c\u652f\u67b6\u59cb\u7ec8\u4e0d\u52a8\u3002\u82e5\u5c0f\u7403\u5230\u8fbe\u6700\u9ad8\u70b9\u65f6\uff0c\u6070\u597d\u652f\u67b6\u5bf9\u5730\u65e0\u538b\u529b\uff0c\u6c42\u5c0f\u7403\u5230\u8fbe\u6700\u9ad8\u70b9\u65f6\u7684\u901f\u5ea6\u5927\u5c0f\u3002<\/p>\n<p>\u5de7\u89e3\u00a0\u6574\u4f53\u6cd5<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u5f53\u5c0f\u7403\u5230\u8fbe\u6700\u9ad8\u70b9\u65f6\u5b58\u5728\u5411\u5fc3\u52a0\u901f\u5ea6\uff0c\u8bbe\u4e3aa\uff0c\u9009<\/p>\n<p>\u652f\u67b6\u548c\u5c0f\u7403\u6574\u4f53\u4e3a\u7814\u7a76\u5bf9\u8c61\uff0c\u5219\u7531\u725b\u987f\u7b2c\u4e8c\u5b9a\u5f8b\u5f97<\/p>\n<p>\uff08M\uff0bm\uff09g\uff1dma<\/p>\n<p>\u89e3\u5f97a\uff1d<\/p>\n<p>\u53c8\u636e\u5411\u5fc3\u52a0\u901f\u5ea6\u516c\u5f0fa\uff1d\uff0c<\/p>\n<p>\u89e3\u5f97\u5c0f\u7403\u5230\u8fbe\u6700\u9ad8\u70b9\u65f6\u7684\u901f\u5ea6\u5927\u5c0f<\/p>\n<p>v\uff1d<\/p>\n<p>\u3010\u7b54\u6848\u3011<\/p>\n<p><strong>\u7b2c\u516b\u5355\u5143 \u00a0\u00a0\u52a8\u91cf<\/strong><\/p>\n<p><strong>\u96be\u70b9\u5de7\u5b66<\/strong><\/p>\n<p><strong>\u4e00\u3001\u201c\u5bfb\u201d\u89c4\u3001\u201c\u5bfc\u201d\u77e9\u5b66\u52a8\u91cf<\/strong><\/p>\n<p><strong>1\u3001\u201c\u5bfb\u201d\u89c4\uff1a\u5de7\u7528\u201c\u8054\u60f3\u3001\u5bf9\u6bd4\u201d\u5217\u56fe\u52a0\u6df1\u5bf9\u52a8\u91cf\u5b9a\u7406\u7684\u7406\u89e3<\/strong><\/p>\n<p>\u73b0\u884c\u5f88\u591a\u9ad8\u4e2d\u6559\u6750\u5305\u62ec\u672c\u4e66\u7684\u7f16\u6392\u6b21\u5e8f\u662f\u5148\u5b66\u201c\u52a8\u80fd\u5b9a\u7406\u201d\uff0c\u518d\u5b66\u201c\u52a8\u91cf\u5b9a\u7406\u201d\u3002\u6211\u4eec\u53ef\u4ee5\u5efa\u7acb\u4e24\u8005\u5173\u7cfb\u56fe\u8c31\uff08\u56fe8-1\uff09\uff0c\u589e\u5f3a\u5bf9\u201c\u52a8\u91cf\u5b9a\u7406\u201d\u7684\u8ba4\u8bc6\u3002\u56fe\u4e2d\u4e24\u7ad6\u8868\u793a\u201c\u7b49\u4e8e\u201d\uff0c\u4e2d\u95f4\u7c97\u7684\u4e00\u6a2a\u8868\u793a\u201c\u51cf\u53f7\u201d\uff0c\u5373\u5206\u522b\u53cd\u6620\u4e24\u4e2a\u5f0f\u5b50\uff1a<\/p>\n<p>\u548c\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\u4e24\u8005\u5728\u4f7f\u7528\u65f6\u7a0b\u5e8f\u5927\u4f53\u76f8\u4f3c\uff0c\u4f46\u8981\u6ce8\u610f\uff1a\u524d\u5f0f\u4e2d\uff0c\u201c\u529f\u201d\u6709\u6b63\u8d1f\uff0c\u662f\u6807\u91cf\u5f0f\uff1b\u540e\u5f0f\u4e2d\uff0c\u51b2\u91cf\u548c\u521d\u3001\u672b\u52a8\u91cf\u90fd\u4f1a\u6709\u6b63\u8d1f\u533a\u5206\uff0c\u662f\u77e2\u91cf\u5f0f\uff0c\u89e3\u9898\u65f6\u8981\u89c4\u5b9a\u6b63\u65b9\u5411\u3002\u5bf9\u4e8e\u53e6\u4e00\u96be\u70b9\u2014\u2014\u52a8\u91cf\u5b88\u6052\u5b9a\u5f8b\uff0c\u5219\u53ef\u4ee5\u548c\u673a\u68b0\u80fd\u5b88\u6052\u5b9a\u5f8b\u7684\u4f7f\u7528\u5f62\u6210\u5bf9\u6bd4\u3002<\/p>\n<p>\u4f8b1\uff1a\u5982\u56fe8-2\uff0c\u8d28\u91cf\u4e3a0.4kg\u7684A\u7403\uff0c\u5411\u53f3\u4ee520m\/s\u7684\u901f\u5ea6\u5728\u6c34\u5e73\u9762\u4e0a\u4e0e\u7ad6\u76f4\u5899\u58c1\u78b0\u649e\uff0c\u78b0\u649e\u65f6\u5e73\u5747\u51b2\u529b\u4e3a100N\uff0c\u540c\u65f6A\u8fd8\u53d7\u523020N\u7684\u6469\u64e6\u963b\u529b\uff0c\u78b0\u649e\u65f6\u95f4\u4e3a0.1s\uff0c\u6c42\u78b0\u649e\u540eA\u7684\u901f\u5ea6\u3002<\/p>\n<p>\u89e3\u6790\uff1aA\u7403\u7684\u53d7\u529b\u5206\u6790\u5982\u56fe\uff0c\u8bbe\u5411\u5de6\u4e3a\u6b63\u65b9\u5411\uff0c\u6709\u52a8\u91cf\u5b9a\u7406\u5f97\uff1a<\/p>\n<p>\uff0c<\/p>\n<p>\u6240\u4ee5\u5373\u78b0\u540eA\u7403\u7684\u901f\u5ea6\u5927\u5c0f\u4e3a10m\/s\uff0c\u65b9\u5411\u4e0e\u78b0\u524d\u76f8\u53cd\u3002 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n<p><strong>2\uff1a\u201c\u5bfc\u201d\u77e9\uff08\u5373\u603b\u7ed3\u89e3\u9898\u6b65\u9aa4\uff09\uff1a\u5de7\u5b66\u52a8\u91cf\u5b9a\u7406\u7684\u89e3\u9898\u6b65\u9aa4\uff0c\u505a\u5230\u4e0d\u4e22\u91cd\u529b<\/strong><\/p>\n<p>\u4e22\u91cd\u529b\u662f\u4f7f\u7528\u52a8\u91cf\u5b9a\u7406\u65f6\u5e38\u89c1\u7684\u9519\u8bef\u3002\u5982\u679c\u6211\u4eec\u80fd\u591f\u627e\u51fa\u4f7f\u7528\u7684\u89c4\u5219\uff0c\u5e76\u6309\u7167\u4e00\u5b9a\u7684\u89c4\u77e9\u548c\u6b65\u9aa4\u89e3\u9898\uff0c\u5c31\u53ef\u4ee5\u51cf\u5c11\u9519\u8bef\u3002\u5229\u7528\u52a8\u91cf\u5b9a\u7406\u89e3\u9898\u7684\u4e00\u822c\u6b65\u9aa4\uff1a<\/p>\n<p>a\u3001\u9009\u62e9\u6070\u5f53\u7684\u7269\u4f53\u6216\u7269\u4f53\u7cfb\u4f5c\u4e3a\u7814\u7a76\u5bf9\u8c61\uff1b<\/p>\n<p>b\u3001\u5bf9\u7814\u7a76\u5bf9\u8c61\u8fdb\u884c\u53d7\u529b\u5206\u6790\uff08<strong>\u53e3\u8bc0\uff1a\u5148\u91cd\u529b\u3001\u518d\u5f39\u529b\u3001\u518d\u6469\u64e6\u529b\u3001\u6700\u540e\u52ff\u5fd8\u201c\u7535\u3001\u78c1\u3001\u6d6e\u7b49\u5176\u4ed6\u529b\u201d<\/strong>\uff09\uff0c\u786e\u5b9a\u7814\u7a76\u8fc7\u7a0b\u4e2d\u5404\u529b\u7684\u51b2\u91cf\uff1b<\/p>\n<p>c\u3001\u9009\u5b9a\u6b63\u65b9\u5411\uff0c\u786e\u5b9a\u521d\u3001\u672b\u72b6\u6001\u7684\u52a8\u91cf\uff1b<\/p>\n<p>d\u3001\u6839\u636e\u52a8\u91cf\u5b9a\u7406\u5217\u51fa\u65b9\u7a0b\uff0c\u5e76\u7edf\u4e00\u5230\u56fd\u9645\u5355\u4f4d\u5236\u4e2d\u8fd0\u7b97\u6c42\u51fa\u7ed3\u679c\u3002<\/p>\n<p>\u4f8b2\uff1a\uff0895\u5e74\u00b7\u5168\u56fd\uff09\u4e00\u7c92\u94a2\u73e0\u4ece\u9759\u6b62\u72b6\u6001\u5f00\u59cb\u81ea\u7531\u4e0b\u843d,\u7136\u540e\u9677\u5165\u6ce5\u6f6d\u4e2d\u3002\u82e5\u628a\u5728\u7a7a\u4e2d\u4e0b\u843d\u7684\u8fc7\u7a0b\u79f0\u4e3a\u8fc7\u7a0b\u2160,\u8fdb\u5165\u6ce5\u6f6d\u76f4\u5230\u505c\u4f4f\u7684\u8fc7\u7a0b\u79f0\u4e3a\u8fc7\u7a0b\u2161,\u5219(\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0)<\/p>\n<p>A\u3001\u8fc7\u7a0b\u2160\u4e2d\u94a2\u73e0\u52a8\u91cf\u7684\u6539\u53d8\u91cf\u7b49\u4e8e\u91cd\u529b\u7684\u51b2\u91cf\uff1b<br \/>\nB\u3001\u8fc7\u7a0b\u2161\u4e2d\u963b\u529b\u7684\u51b2\u91cf\u7684\u5927\u5c0f\u7b49\u4e8e\u8fc7\u7a0b\u2160\u4e2d\u91cd\u529b\u51b2\u91cf\u7684\u5927\u5c0f\uff1b<br \/>\nC\u3001\u8fc7\u7a0b\u2161\u4e2d\u94a2\u73e0\u514b\u670d\u963b\u529b\u6240\u505a\u7684\u529f\u7b49\u4e8e\u8fc7\u7a0b\u2160\u4e0e\u8fc7\u7a0b\u2161\u4e2d\u94a2\u73e0\u6240\u51cf\u5c11\u7684\u91cd\u529b\u52bf\u80fd\u4e4b\u548c\uff1b<br \/>\nD\u3001\u8fc7\u7a0b\u2161\u4e2d\u635f\u5931\u7684\u673a\u68b0\u80fd\u7b49\u4e8e\u8fc7\u7a0b\u2160\u4e2d\u94a2\u73e0\u6240\u589e\u52a0\u7684\u52a8\u80fd\u3002<br \/>\n\u89e3\u6790\uff1a\u5728\u8fc7\u7a0b\u2160\u4e2d\u94a2\u73e0\u53ea\u53d7\u91cd\u529b\uff0c\u91cd\u529b\u7684\u51b2\u91cf\u7b49\u4e8e\u94a2\u73e0\u52a8\u91cf\u6539\u53d8\u91cf\uff0c\u9009\u9879A\u6b63\u786e\u3002\u540c\u65f6\uff0c\u5728\u8fc7\u7a0b\u2160\u4e2d\u91cd\u529b\u505a\u529f\uff0c\u94a2\u73e0\u91cd\u529b\u52bf\u80fd\u51cf\u5c0f\uff0c\u52a8\u80fd\u589e\u52a0\u3002\u5728\u8fc7\u7a0b\u2161\u4e2d\u94a2\u73e0\u9664\u53d7\u963b\u529b\u5916\uff0c\u4ecd\u53d7\u91cd\u529b\uff0c\u5224\u65ad\u65f6\u6700\u5bb9\u6613\u4e22\u6389\u91cd\u529b\u7684\u51b2\u91cf\u53ca\u91cd\u529b\u7684\u529f\u3002\u9009\u9879B\u3001D\u5c31\u662f\u72af\u4e86\u201c\u4e22\u91cd\u529b\u201d\u7684\u9519\u8bef\u3002\u5e94\u8be5\u662f\u8fc7\u7a0b\u2161\u4e2d\u963b\u529b\u51b2\u91cf\u7684\u5927\u5c0f\u7b49\u4e8e\u8fc7\u7a0b\u2160\u548c\u8fc7\u7a0b\u2161\u6574\u4e2a\u8fc7\u7a0b\u4e2d\u91cd\u529b\u7684\u51b2\u91cf\uff1b\u8fc7\u7a0b\u2161\u4e2d\u635f\u5931\u7684\u673a\u68b0\u80fd\u7b49\u4e8e\u8fc7\u7a0b\u2160\u4e2d\u91cd\u529b\u7684\u51b2\u91cf\uff1b\u8fc7\u7a0b\u2161\u4e2d\u635f\u5931\u7684\u673a\u68b0\u80fd\u7b49\u4e8e\u8fc7\u7a0b\u2160\u4e2d\u94a2\u73e0\u589e\u52a0\u7684\u52a8\u80fd\u53ca\u8fc7\u7a0b\u2161\u4e2d\u673a\u68b0\u80fd\uff08\u542b\u91cd\u529b\u52bf\u80fd\uff09\u51cf\u5c11\u91cf\u4e4b\u548c\u3002\u6240\u4ee5A\u3001C\u6b63\u786e<\/p>\n<p><strong>\u4e8c\u3001\u5de7\u7528\u52a8\u91cf\u5b9a\u7406\u89e3\u91ca\u5e38\u89c1\u7684\u4e24\u7c7b\u7269\u7406\u73b0\u8c61<\/strong><\/p>\n<p>\u7531\uff0c\u5219<\/p>\n<p><strong>\u5de7\u8bb0\u63a8\u8bba\uff1a\u7269\u4f53\u6240\u53d7\u5408\u5916\u529b\u7b49\u4e8e\u5b83\u81ea\u8eab\u201c\u52a8\u91cf\u53d8\u5316\u7387\u201d\u3002<\/strong><\/p>\n<p>\u4f8b3\u3001\u73bb\u7483\u676f\u4ece\u540c\u4e00\u9ad8\u5ea6\u81ea\u7531\u4e0b\u843d\uff0c\u6389\u843d\u5728\u786c\u8d28\u6c34\u6ce5\u677f\u4e0a\u6613\u788e\uff0c\u6389\u843d\u5728\u677e\u8f6f\u5730\u6bef\u4e0a\u4e0d\u6613\u788e\uff0c\u8fd9\u662f\u7531\u4e8e\u73bb\u7483\u676f\u6389\u5728\u677e\u8f6f\u5730\u6bef\u4e0a\uff1a\uff08 \u00a0\u00a0\u00a0\uff09<\/p>\n<p>A\u3001\u6240\u53d7\u5408\u5916\u529b\u7684\u51b2\u91cf\u8f83\u5c0f<\/p>\n<p>B\u3001\u52a8\u91cf\u7684\u53d8\u5316\u91cf\u8f83\u5c0f<\/p>\n<p>C\u3001\u52a8\u91cf\u7684\u53d8\u5316\u7387\u8f83\u5c0f<\/p>\n<p>D\u3001\u5730\u6bef\u5bf9\u676f\u5b50\u7684\u4f5c\u7528\u529b\u5c0f\u4e8e\u676f\u5b50\u5bf9\u5730\u6bef\u7684\u4f5c\u7528\u529b<\/p>\n<p>\u89e3\u6790\uff1a\u676f\u5b50\u4ece\u540c\u4e00\u9ad8\u5ea6\u4e0b\u843d\uff0c\u4e0e\u5730\u9762\u78b0\u649e\u7684\u77ac\u65f6\u901f\u5ea6\u3001\u52a8\u91cf\u90fd\u662f\u4e00\u5b9a\u7684\u3002\u4e0e\u5730\u9762\u76f8\u78b0\u5230\u521a\u9759\u6b62\u65f6\uff0c\u4e0d\u7ba1\u73bb\u7483\u676f\u662f\u5426\u7834\u788e\uff0c\u52a8\u91cf\u7684\u6539\u53d8\u91cf\u90fd\u76f8\u7b49\uff0c\u7531\u52a8\u91cf\u5b9a\u7406\u5f97\uff1a\u5408\u5916\u529b\u7684\u51b2\u91cf\u4e5f\u76f8\u7b49\u3002\u53ef\u89c1A\u3001B\u662f\u9519\u8bef\u7684\u3002\u7531\u5f97\uff0c\u73bb\u7483\u676f\u53d7\u5230\u7684\u5408\u5916\u529b\u7b49\u4e8e\u52a8\u91cf\u7684\u53d8\u5316\u7387\u3002\u73bb\u7483\u676f\u6389\u5728\u677e\u8f6f\u7684\u5730\u6bef\u4e0a\uff0c\u52a8\u91cf\u51cf\u5c0f\u7ecf\u5386\u7684\u65f6\u95f4\u8f83\u957f\uff0c\u8f83\u5c0f\uff0c\u73bb\u7483\u676f\u53d7\u5230\u7684\u5408\u529b\u8f83\u5c0f\uff0c\u73bb\u7483\u676f\u5c31\u4e0d\u6613\u788e\uff0c\u6545C\u9009\u9879\u6b63\u786e\u3002\u800c\u676f\u5b50\u5bf9\u5730\u6bef\u7684\u4f5c\u7528\u529b\u548c\u5730\u6bef\u5bf9\u676f\u5b50\u7684\u4f5c\u7528\u529b\u662f\u4e00\u5bf9\u76f8\u4e92\u4f5c\u7528\u529b\uff0c\u5e94\u7b49\u503c\u53cd\u5411\uff0c\u6240\u4ee5D\u4e5f\u9519\u8bef\u3002<\/p>\n<p>\u4f8b4\u3001\u5c0f\u7b14\u5e3d\u653e\u5728\u4e00\u5c0f\u7eb8\u6761\u4e0a\uff0c\u5feb\u62c9\u7eb8\u6761\uff0c\u5c0f\u7b14\u5e3d\u4e0d\u52a8\uff0c\u6162\u62c9\u7eb8\u6761\uff0c\u5c0f\u7b14\u5e3d\u52a8\u8d77\u6765\uff0c\u8fd9\u662f\u4e3a\u4ec0\u4e48\uff1f<\/p>\n<p>\u89e3\u6790\uff1a\u5f53\u7f13\u6162\u62c9\u52a8\u7eb8\u6761\u65f6\uff0c\u5c0f\u7b14\u5e3d\u4e0e\u7eb8\u6761\u4e4b\u95f4\u662f\u9759\u6469\u64e6\u529b\uff0c\u7531\u4e8e\u4f5c\u7528\u65f6\u95f4\u957f\uff0c\u5c0f\u7b14\u5e3d\u83b7\u5f97\u7684\u51b2\u91cf\u8f83\u5927\uff0c\u53ef\u4ee5\u6539\u53d8\u5b83\u7684\u9759\u6b62\u72b6\u6001\uff0c\u4ece\u800c\u5e26\u52a8\u5c0f\u7b14\u5e3d\u4e00\u8d77\u8fd0\u52a8\uff1b\u5728\u5feb\u62c9\u65f6\uff0c\u5c3d\u7ba1\u8fd9\u662f\u5c0f\u7b14\u5e3d\u4e0e\u7eb8\u6761\u4e4b\u95f4\u56e0\u5206\u79bb\u4ea7\u751f\u6ed1\u52a8\u6469\u64e6\u529b\uff0c\u4f46\u7531\u4e8e\u4f5c\u7528\u65f6\u95f4\u5f88\u77ed\uff0c\u5c0f\u7b14\u5e3d\u83b7\u5f97\u7684\u51b2\u91cf\u5e76\u4e0d\u5927\uff0c\u8fd8\u672a\u6765\u5f97\u53ca\u6539\u53d8\u5176\u9759\u6b62\u72b6\u6001\uff0c\u7eb8\u6761\u5df2\u62bd\u51fa\u6765\u4e86\u3002<\/p>\n<p><strong>\u5c0f\u7ed3\uff1a<\/strong>\u7528\u52a8\u91cf\u5b9a\u7406\u89e3\u91ca\u73b0\u8c61\u4e00\u822c\u5206\u4e3a\u4e24\u7c7b\uff1a\u4e00\u7c7b\u662f\u7269\u4f53\u7684\u52a8\u91cf\u53d8\u5316\u4e00\u5b9a\uff0c\u6b64\u65f6\u529b\u7684\u4f5c\u7528\u65f6\u95f4\u8d8a\u77ed\uff0c\u529b\u5c31\u8d8a\u5927\uff1b\u65f6\u95f4\u8d8a\u957f\uff0c\u529b\u5c31\u8d8a\u5c0f\uff08\u5982\u4f8b3\uff09\uff1b\u53e6\u4e00\u7c7b\u662f\u4f5c\u7528\u529b\u4e00\u5b9a\uff0c\u6b64\u65f6\u529b\u7684\u4f5c\u7528\u65f6\u95f4\u8d8a\u957f\uff0c\u52a8\u91cf\u53d8\u5316\u8d8a\u5927\uff1b\u529b\u7684\u4f5c\u7528\u65f6\u95f4\u8d8a\u77ed\uff0c\u52a8\u91cf\u53d8\u5316\u8d8a\u5c0f\uff08\u5982\u4f8b4\uff0c\u529b\u7684\u533a\u522b\u4e0d\u5927\uff0c\u4f46\u65f6\u95f4\u5dee\u522b\u8f83\u5927\u662f\u672c\u9898\u7684\u4e3b\u8981\u56e0\u7d20\uff09\u3002<\/p>\n<p><strong>\u4e09\u3001\u5de7\u7528\u52a8\u91cf\u5b9a\u7406\u89e3\u4e09\u7c7b\u542b\u201c\u53d8\u201d\u7684\u95ee\u9898<\/strong><\/p>\n<p><strong>1\u3001\u5de7\u89e3\u53d8\u529b\u7684\u51b2\u91cf\uff1a<\/strong><\/p>\n<p>\u53d8\u529b\u7684\u51b2\u91cf\u5728\u4e2d\u5b66\u7269\u7406\u9636\u6bb5\u4e0d\u80fd\u7528I=Ft\u6c42\u89e3\uff0c\u4f46\u662f\u7528\u52a8\u91cf\u5b9a\u7406\u53ef\u4ee5\u7528\u0394\u03a1\u6765\u95f4\u63a5\u7684\u8868\u793a\u53d8\u529b\u7684\u51b2\u91cf\u3002<\/p>\n<p>\u4f8b5\uff1a\uff081994\u5e74\u00b7\u4e0a\u6d77\uff09\u7269\u4f53A\u548cB\u7528\u8f7b\u7ef3\u76f8\u8fde\u6302\u5728\u8f7b\u8d28\u5f39\u7c27\u4e0b\u9759\u6b62\u4e0d\u52a8\uff0c\u5982\u56fe\uff08\u7532\uff09\u6240\u793a\uff0cA\u7684\u8d28\u91cf\u4e3am\uff0cB\u7684\u8d28\u91cf\u4e3a<em>M<\/em>\u3002\u5f53\u8fde\u63a5A\u3001B\u7684\u7ef3\u7a81\u7136\u65ad\u5f00\u540e\uff0c\u7269\u4f53A\u4e0a\u5347\u7ecf\u67d0\u4e00\u4f4d\u7f6e\u65f6\u7684\u901f\u5ea6\u5927\u5c0f\u4e3a<em>v<\/em>\uff0c\u8fd9\u65f6\u7269\u4f53B\u4e0b\u843d\u901f\u5ea6\u5927\u5c0f\u4e3a<em>u<\/em>\uff0c\u5982\u56fe\uff08\u4e59\uff09\u6240\u793a\u3002\u5728\u8fd9\u6bb5\u65f6\u95f4\u91cc\uff0c\u5f39\u7c27\u7684\u5f39\u529b\u5bf9\u7269\u4f53A\u7684\u51b2\u91cf\u4e3a\uff08\uff09<\/p>\n<p>A\uff0e<em>mv<\/em>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000B\uff0e<em>mv\uff0dMu<\/em><\/p>\n<p>C\uff0e<em>mv\uff0bMu<\/em>\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000\u3000D\uff0e<em>mv\uff0bmu<\/em><\/p>\n<p>\u89e3\u6790\uff1a\u6b32\u6c42\u5728\u6307\u5b9a\u8fc7\u7a0b\u4e2d\u5f39\u7c27\u5f39\u529b\u7684\u51b2\u91cf\uff0c\u601d\u8def\u6709\u4e24\u6761\uff1a\u4e00\u662f\u4ece\u51b2\u91cf\u6982\u5ff5\u5165\u624b\u8ba1\u7b97\uff0cI=Ft\uff0c\u4e8c\u662f\u7531\u52a8\u91cf\u5b9a\u7406\u901a\u8fc7\u52a8\u91cf\u7684\u53d8\u5316\u8ba1\u7b97\uff0c\u5373I =\u25b3p\u3002\u7531\u4e8e\u5f39\u7c27\u7684\u5f39\u529b\u662f\u53d8\u529b\uff0c\u65f6\u95f4\u53c8\u662f\u672a\u77e5\u91cf\uff0c\u6545\u53ea\u80fd\u7528\u52a8\u91cf\u5b9a\u7406\u6c42\u89e3\u3002<\/p>\n<p>\u526a\u65ad\u7ec6\u7ef3\u540e\uff0cA\u4e0a\u5347\uff0cB\u81ea\u7531\u4e0b\u843d\uff0c\u4f46A\u5728\u4e0a\u5347\u8fc7\u7a0b\u4e2d\u5f39\u7c27\u662f\u4e00\u53d8\u529b\u3002\u82e5\u8bbe\u8fd9\u6bb5\u65f6\u95f4\u4e3a\u00a0t\uff0c\u4ee5\u5411\u4e0a\u4e3a\u6b63\u65b9\u5411\uff0c\u5bf9A\u3001B\u5206\u522b\u7528\u52a8\u91cf\u5b9a\u7406\u6709\uff1a\u5bf9A\uff1a\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u5bf9B\u81ea\u7531\u843d\u4f53\uff1a<\/p>\n<p>\u8054\u7acb\u53ef\u5f97<\/p>\n<p><strong>2\u3001\u5de7\u89e3\u66f2\u7ebf\u8fd0\u52a8\u7684\u52a8\u91cf\u53d8\u5316<\/strong><\/p>\n<p>\u4f8b6\uff1a\uff082000\u5e74\u00b7\u5317\u4eac\u3001\u5b89\u5fbd\u6625\u5b63\u9ad8\u8003\uff09\u505a\u5e73\u629b\u8fd0\u52a8\u7684\u7269\u4f53\uff0c\u6bcf\u79d2\u949f\u7684\u901f\u5ea6\u53d8\u5316\u91cf\u603b\u662f\uff08 \u00a0\u00a0\u00a0\uff09<\/p>\n<p>A\u3001\u5927\u5c0f\u76f8\u7b49\uff0c\u65b9\u5411\u76f8\u540c<\/p>\n<p>B\u3001\u5927\u5c0f\u4e0d\u7b49\uff0c\u65b9\u5411\u4e0d\u540c<\/p>\n<p>C\u3001\u5927\u5c0f\u76f8\u7b49\uff0c\u65b9\u5411\u4e0d\u540c<\/p>\n<p>D\u3001\u5927\u5c0f\u4e0d\u7b49\uff0c\u65b9\u5411\u76f8\u540c<\/p>\n<p>\u89e3\u6790\uff1a\u66f2\u7ebf\u8fd0\u52a8\u7684\u7279\u70b9\u662f\u8fd0\u52a8\u65b9\u5411\u4e0d\u65ad\u53d8\u5316\u3002\u6839\u636e\u5e73\u629b\u8fd0\u52a8\u7684\u5b9a\u4e49\uff0c\u7269\u4f53\u5728\u8fd0\u52a8\u8fc7\u7a0b\u4e2d\u53ea\u53d7\u91cd\u529b\u4f5c\u7528\uff0c\u53c8\u7531\u52a8\u91cf\u5b9a\u7406\u5f97\uff1a\uff0c\u6ce8\u610f\u5230\u5404\u5f0f\u4e3a\u77e2\u91cf\u5173\u7cfb\uff0c\u6240\u4ee5\u9009\u62e9A\u3002<\/p>\n<p><strong>3\u3001\u5de7\u5efa\u201c\u7ba1\u9053\u201d\u6a21\u578b \uff0c\u9501\u5b9a\u76ee\u6807\uff0c\u5de7\u89e3\u6d41\u4f53\u7c7b\u53d8\u8d28\u91cf\u95ee\u9898\uff1a<\/strong><\/p>\n<p>\u4f8b7\uff1a\u8bbe\u6c34\u7684\u5bc6\u5ea6\u4e3a\u03c1\uff0c\u6c34\u67aa\u53e3\u7684\u622a\u9762\u79ef\u4e3aS\uff0c\u6c34\u4ece\u67aa\u53e3\u55b7\u51fa\u7684\u901f\u5ea6\u4e3a,\u82e5\u6c34\u5e73\u76f4\u5c04\u5230\u7164\u5c42\u540e\u901f\u5ea6\u4e3a\u96f6\uff0c\u5219\u6c34\u5bf9\u7164\u5c42\u7684\u5e73\u5747\u4f5c\u7528\u529b\u7684\u5927\u5c0f\u4e3a\u591a\u5c11\uff1f<\/p>\n<p>\u89e3\u6790\uff1a\u6b64\u7c7b\u95ee\u9898\u7684\u7279\u70b9\u662f\uff0c\u968f\u7740\u65f6\u95f4\u53d8\u5316\uff0c\u4f5c\u7528\u7684\u4e3b\u4f53\u4f1a\u4e0d\u65ad\u53d8\u5316\uff0c\u5bf9\u8c61\u96be\u4ee5\u9501\u5b9a\uff0c\u5bf9\u5e94\u7684\u8d28\u91cf\u96be\u4ee5\u8868\u8fbe\u8ba1\u7b97\uff0c\u5047\u8bbe\u6c34\u4ece\u6c34\u67aa\u53e3\u5c04\u51fa\u4e4b\u540e\u8fd8\u6cbf\u7740\u4e00\u4e2a\u201c\u7ba1\u9053\u201d\uff08\u6211\u4eec\u81ea\u5df1\u5047\u8c61\u51fa\u6765\u7684\uff09\u51b2\u5230\u7164\u5c42\u4e0a\uff0c\u53d6\u0394t\u65f6\u95f4\u5185\u5c04\u5230\u7164\u5c42\u7684\u6c34\u7684\u8d28\u91cf\u0394<em>m<\/em>\u4e3a\u7814\u7a76\u5bf9\u8c61\uff0c\u8fd9\u4e9b\u6c34\u5206\u5e03\u5728\u622a\u9762\u79ef\u4e3aS\uff0c\u957f\u4e3a\u7684\u201c\u7ba1\u9053\u201d\u5185\uff0c\u5219\uff0c<\/p>\n<p>\u6839\u636e\u52a8\u91cf\u5b9a\u7406\u5f97\uff1a\uff0c\u5373<\/p>\n<p>\u6ce8\uff1a\u6b64\u7c7b\u9898\u8fd8\u5f88\u591a\uff0c\u672c\u9898\u4e2d\u7684\u6c34\u6539\u4e3a\u201c\u6c14\u4f53\u201d\u3001\u201c\u79f0\u7c73\u673a\u201d\u4e2d\u7684\u7c73\u3001\u201c\u9668\u77f3\u201d\u7b49\uff0c\u4f8b\u5982\u6d3b\u9898\u5de7\u89e3\u4e2d\u4f8b11<strong><b>\u00a0<\/b><\/strong>\u3002<\/p>\n<p><strong>\u56db\u3001\u52a8\u91cf\u5b88\u6052\u5b9a\u5f8b\u7684\u201c\u4e09\u9002\u7528\u201d\u201c\u4e09\u8868\u8fbe\u201d\u2014\u2014\u52a8\u91cf\u5b88\u6052\u7684\u5224\u65ad<\/strong><\/p>\n<p><strong>\u201c\u4e09\u9002\u7528\u201d\u2014\u2014\u4ee5\u4e0b\u4e09\u79cd\u60c5\u51b5\u53ef\u7528\u52a8\u91cf\u5b88\u6052\u5b9a\u5f8b\u89e3\u9898<\/strong><\/p>\n<p><strong>1\u3001\u82e5\u7cfb\u7edf\u4e0d\u53d7\u5916\u529b\u6216\u53d7\u5916\u529b\u4e4b\u548c\u4e3a\u96f6\uff0c\u5219\u7cfb\u7edf\u7684\u603b\u52a8\u91cf\u5b88\u6052<\/strong><\/p>\n<p>\u4f8b8\uff1a\u5982\u56fe8-4\uff0c\u4e00\u8f66\u53a2\u957f\u4e3a<em>L<\/em>\uff0c\u8d28\u91cf\u4e3a<em>M<\/em>\uff0c\u9759\u6b62\u4e8e\u5149\u6ed1\u7684\u6c34\u5e73\u9762\u4e0a\uff0c\u53a2\u5185\u6709\u4e00\u8d28\u91cf\u4e3a<em>m<\/em>\u7684\u7269\u4f53\u4ee5\u521d\u901f\u5411\u53f3\u8fd0\u52a8\uff0c\u4e0e\u8f66\u53a2\u6765\u56de\u78b0\u649e<em>n<\/em>\u6b21\u540e\u9759\u6b62\u4e8e\u8f66\u53a2\u4e2d\uff0c\u8fd9\u65f6\u8f66\u53a2\u7684\u901f\u5ea6\u4e3a\uff1a<\/p>\n<p>A\u3001\uff0c\u6c34\u5e73\u5411\u53f3 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0B\u3001\u96f6<\/p>\n<p>C\u3001\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0D\u3001<\/p>\n<p>\u89e3\u6790\uff1a\u5f53\u7269\u4f53\u5728\u8f66\u53a2\u5185\u8fd0\u52a8\u53ca\u4e0e\u8f66\u53a2\u78b0\u649e\u8fc7\u7a0b\u4e2d\uff0c\u7269\u4f53\u4e0e\u8f66\u53a2\u7ec4\u6210\u7684\u7cfb\u7edf\u6240\u53d7\u5916\u529b\u6709\u91cd\u529b\u548c\u652f\u6301\u529b\uff0c\u5408\u529b\u4e3a\u96f6\uff0c\u6545\u7cfb\u7edf\u603b\u52a8\u91cf\u5b88\u6052\u3002\u7cfb\u7edf\u521d\u52a8\u91cf\u4e3a\uff0c\u5f53\u7269\u4f53\u9759\u6b62\u5728\u8f66\u53a2\u4e2d\u65f6\uff0c\u4e8c\u8005\u5177\u6709\u76f8\u540c\u7684\u901f\u5ea6\uff0c\u8bbe\u4e3a\u5219\uff1a\uff0c\u89e3\u5f97\uff0c\u9009\u9879C\u5bf9\u3002<\/p>\n<p><strong>2\u3001\u82e5\u7cfb\u7edf\u6240\u53d7\u5916\u529b\u4e4b\u548c\u4e0d\u4e3a\u96f6\uff0c\u5219\u7cfb\u7edf\u7684\u603b\u52a8\u91cf\u4e0d\u5b88\u6052\uff0c\u4f46\u5982\u679c\u67d0\u4e00\u65b9\u5411\u4e0a\u7684\u5916\u529b\u4e4b\u548c\u4e3a\u96f6\uff0c\u5219\u8be5\u65b9\u5411\u4e0a\u7684\u52a8\u91cf\u5b88\u6052<\/strong><\/p>\n<p>\u4f8b9\uff1a\u5982\u56fe8-5\uff0c\u5c06\u8d28\u91cf\u4e3am\u7684\u94c5\u7403\u4ee5\u5927\u5c0f\u4e3a\uff0c\u4e0e\u6c34\u5e73\u65b9\u5411\u503e\u89d2\u4e3a\u7684\u521d\u901f\u5ea6\u629b\u5165\u4e00\u4e2a\u88c5\u7740\u6c99\u5b50\u7684\u603b\u8d28\u91cf\u4e3aM\u7684\u9759\u6b62\u7684\u7802\u8f66\u4e2d\uff0c\u7802\u8f66\u4e0e\u5730\u9762\u7684\u6469\u64e6\u4e0d\u8ba1\uff0c\u7403\u4e0e\u7802\u8f66\u7684\u5171\u540c\u901f\u5ea6\u4e3a\u591a\u5c11\uff1f<\/p>\n<p>\u89e3\u6790\uff1a\u628a\u94c5\u7403\u548c\u7802\u8f66\u770b\u6210\u4e00\u4e2a\u7cfb\u7edf\uff0c\u7cfb\u7edf\u5728\u6574\u4e2a\u8fc7\u7a0b\u4e2d\u4e0d\u53d7\u6c34\u5e73\u65b9\u5411\u7684\u5916\u529b\uff0c\u5219\u6c34\u5e73\u65b9\u5411\u4e0a\u7684\u52a8\u91cf\u5b88\u6052\uff0c\u800c\u5728\u7ad6\u76f4\u65b9\u5411\u4e0a\uff0c\u5f53\u94c5\u7403\u843d\u5728\u7802\u8f66\u4e2d\u65f6\uff0c\u5730\u9762\u4e0e\u7cfb\u7edf\u7684\u652f\u6301\u529b\u4e0d\u7b49\u4e8e\u7cfb\u7edf\u7684\u603b\u91cd\u529b\uff0c\u6545\u7cfb\u7edf\u5728\u7ad6\u76f4\u65b9\u5411\u4e0a\u52a8\u91cf\u4e0d\u5b88\u6052\uff08\u53e6\u5916\uff0c\u4e5f\u53ef\u4ee5\u4ece\u7ed3\u679c\u4e0a\u6765\u770b\uff1a\u521d\u59cb\u72b6\u6001\u7cfb\u7edf\u5728\u7ad6\u76f4\u65b9\u5411\u4e0a\u6709\u901f\u5ea6\uff0c\u800c\u6700\u7ec8\u6574\u4e2a\u7cfb\u7edf\u53ea\u6709\u6c34\u5e73\u65b9\u5411\u7684\u901f\u5ea6\uff0c\u7531\u6b64\u4e5f\u80fd\u5f97\u5230\u7cfb\u7edf\u7ad6\u76f4\u65b9\u5411\u4e0a\u52a8\u91cf\u4e0d\u5b88\u6052\uff09\u3002<\/p>\n<p>\u8bbe\u7cfb\u7edf\u540e\u6765\u5171\u540c\u901f\u5ea6\u4e3a\uff0c\u5219\uff0c<\/p>\n<p><strong>3\u3001\u82e5\u7cfb\u7edf\u6240\u53d7\u5916\u529b\u4e4b\u548c\u4e0d\u4e3a\u96f6\uff0c\u4f46\u662f\u5916\u529b\u8fdc\u5c0f\u4e8e\u5185\u529b\uff0c\u53ef\u4ee5\u5ffd\u7565\u4e0d\u8ba1\uff0c\u5219\u7269\u4f53\u76f8\u4e92\u4f5c\u75db\u8fc7\u7a0b\u52a8\u91cf\u8fd1\u4f3c\u5b88\u6052\u3002\u5982\u78b0\u649e\u3001\u7206\u70b8\u7b49\u3002<\/strong><\/p>\n<p>\u4f8b10\uff1a\u8d28\u91cf\u4e3aM\u7684\u6728\u5757\u9759\u6b62\u5728\u6c34\u5e73\u9762\u4e0a\uff0c\u6728\u5757\u4e0e\u5730\u9762\u95f4\u7684\u52a8\u6469\u64e6\u7cfb\u6570\u4e3a\uff0c\u4e00\u9897\u8d28\u91cf\u4e3am\u7684\u5b50\u5f39\u6c34\u5e73\u5c04\u5165\u6728\u5757\u540e\uff0c\u6728\u5757\u6cbf\u6c34\u5e73\u9762\u6ed1\u884cs\u540e\u505c\u6b62\uff0c\u8bd5\u6c42\u5b50\u5f39\u5c04\u5165\u6728\u5757\u524d\u7684\u901f\u5ea6\u3002<\/p>\n<p>\u89e3\u6790\uff1a\u5b50\u5f39\u5c04\u5165\u6728\u5757\u8fc7\u7a0b\u4e2d\uff0c\u6728\u5757\u53d7\u5730\u9762\u7684\u6469\u64e6\u529b\u4e3aF\uff0c\u6b64\u529b\u5373\u4e3a\u5b50\u5f39\u4e0e\u6728\u5757\u7ec4\u6210\u7684\u7cfb\u7edf\u6240\u53d7\u7684\u5916\u529b\uff0c\u4e0d\u4e3a\u96f6\u3002\u4f46\u5b50\u5f39\u4e0e\u6728\u5757\u6253\u51fb\u65f6\uff0c\u76f8\u4e92\u4f5c\u7528\u529bF<sub>\u5185<\/sub>&gt;&gt;F<sub>\u5916<\/sub>\uff0c\u6469\u64e6\u529b\u53ef\u5ffd\u7565\u4e0d\u8ba1\uff0c\u7cfb\u7edf\u7684\u52a8\u91cf\u8fd1\u4f3c\u5b88\u6052\u3002<\/p>\n<p>\u8bbe\u5b50\u5f39\u5c04\u5165\u6728\u5757\u540e\uff0c\u5b50\u5f39\u4e0e\u6728\u5757\u7684\u5171\u540c\u901f\u5ea6\u4e3a\uff0c<\/p>\n<p>\u7531\u52a8\u91cf\u5b88\u6052\u5b9a\u5f8b\u5f97\uff1a\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u2026\u00a0\u2026\u2460<\/p>\n<p>\u6b64\u540e\uff0c\u5b50\u5f39\u548c\u6728\u5757\u4e00\u8d77\u505a\u5300\u51cf\u901f\u76f4\u7ebf\u8fd0\u52a8\uff0c\u7531\u52a8\u80fd\u5b9a\u7406\u5f97\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u2026\u00a0\u2026\u2461<\/p>\n<p>\u7531\u2460\u2461\u5f97\uff1a<\/p>\n<p><strong>\u201c\u4e09\u8868\u8fbe \u201d\u2014\u2014\u52a8\u91cf\u5b88\u6052\u5b9a\u5f8b\u6709\u4e09\u79cd\u5e38\u7528\u7684\u6570\u5b66\u8868\u8fbe\u5f0f<\/strong><\/p>\n<p><strong>1\u3001\u7cfb\u7edf\u7684\u521d\u52a8\u91cf\u7b49\u4e8e\u672b\u52a8\u91cf\uff0c\u5373<\/strong><strong>\u3002\u4f8b\u9898\u4e2d\u5f88\u591a\u89c1\uff0c\u8bfb\u8005\u81ea\u5df1\u67e5\u770b\u3002<\/strong><\/p>\n<p><strong>2\u3001\u82e5A\u3001B\u4e24\u7269\u4f53\u7ec4\u6210\u7684\u7cfb\u7edf\u5728\u76f8\u4e92\u4f5c\u7528\u8fc7\u7a0b\u4e2d\u52a8\u91cf\u5b88\u6052\uff0c\u5219<\/strong><strong>\uff08\u8d1f\u53f7\u8868\u793a<\/strong><strong>\u4e0e<\/strong><strong>\u65b9\u5411\u76f8\u53cd\uff09<\/strong><\/p>\n<p>\u4f8b11\uff1a\u8d28\u91cf\u76f8\u7b49\u7684\u4e09\u4e2a\u5c0f\u7403a\u3001b\u3001c\u5728\u5149\u6ed1\u7684\u6c34\u5e73\u9762\u4e0a\u4ee5\u76f8\u540c\u7684\u901f\u7387\u8fd0\u52a8\uff0c\u5b83\u4eec\u5206\u522b\u4e0e\u539f\u6765\u9759\u6b62\u7684\u4e09\u4e2a\u7403A\u3001B\u3001C\u76f8\u78b0\uff08a\u4e0eA\uff0cb\u4e0eB\uff0cc\u4e0eC\uff09\u3002\u78b0\u540e\uff0ca\u7403\u7ee7\u7eed\u6cbf\u539f\u6765\u7684\u65b9\u5411\u8fd0\u52a8\uff0cb\u7403\u9759\u6b62\u4e0d\u52a8\uff0cc\u7403\u88ab\u5f39\u56de\u800c\u53cd\u5411\u8fd0\u52a8\uff0c\u8fd9\u65f6ABC\u4e09\u7403\u4e2d\u52a8\u91cf\u6700\u5927\u7684\u662f\uff08 \u00a0\u00a0\u00a0\uff09<\/p>\n<p>A\u3001A\u7403 \u00a0\u00a0\u00a0\u00a0B\u3001B\u7403 \u00a0\u00a0\u00a0\u00a0\u00a0C\u3001C\u7403 \u00a0\u00a0\u00a0\u00a0\u00a0D\u3001\u7531\u4e8eA\u3001B\u3001C\u4e09\u7403\u8d28\u91cf\u672a\u77e5\uff0c\u65e0\u6cd5\u5224\u5b9a<\/p>\n<p>\u89e3\u6790\uff1a\u4e09\u7403\u5728\u78b0\u649e\u8fc7\u7a0b\u4e2d\u52a8\u91cf\u90fd\u5b88\u6052\uff0c\u4e14a\u3001b\u3001c\u4e09\u7403\u5728\u78b0\u649e\u8fc7\u7a0b\u4e2d\uff0c\u52a8\u91cf\u53d8\u5316\u7684\u5927\u5c0f\u5173\u7cfb\u4e3a\uff1a\u3002\u7531\u52a8\u91cf\u5b88\u6052\u5b9a\u5f8b\u77e5\uff1a\uff0c\u6240\u4ee5A\u3001B\u3001C\u4e09\u7403\u5728\u78b0\u649e\u8fc7\u7a0b\u4e2d\u52a8\u91cf\u53d8\u5316\u7684\u5927\u5c0f\u5173\u7cfb\u4e3a\u3002\u7531\u4e8eA\u3001B\u3001C\u4e09\u7403\u521d\u52a8\u91cf\u90fd\u4e3a\u96f6\uff0c\u6240\u4ee5\u78b0\u540e\u5b83\u4eec\u7684\u52a8\u91cf\u5927\u5c0f\u5173\u7cfb\u4e3a\uff0c\u6545\u9009\u9879C\u6b63\u786e\u3002<\/p>\n<p><strong>3\u3001\u82e5A\u3001B\u4e24\u7269\u4f53\u76f8\u4e92\u4f5c\u7528\u8fc7\u7a0b\u4e2d\u52a8\u91cf\u5b88\u6052\uff0c\u5219<\/strong><strong>\u3002\u4f46\u6b64\u8868\u8fbe\u5f0f\u4ec5\u9002\u7528\u4e8e\u7cfb\u7edf\u603b\u52a8\u91cf\u6052\u4e3a\u96f6\u7684\u60c5\u51b5\uff08<\/strong><strong>\u3001<\/strong><strong>\u5206\u522b\u4e3aA\u3001B\u5728\u4f5c\u7528\u8fc7\u7a0b\u4e2d\u7684\u4f4d\u79fb\u5927\u5c0f\uff09\uff0c\u6216\u7cfb\u7edf\u67d0\u65b9\u5411\u4e0a\u603b\u52a8\u91cf\u6052\u4e3a\u96f6\u7684\u60c5\u51b5\uff08\u6b64\u65f6\u7684<\/strong><strong>\u3001<\/strong><strong>\u5206\u522b\u4e3aA\u3001B\u5728\u4f5c\u7528\u8fc7\u7a0b\u4e2d\uff0c\u5728\u8be5\u65b9\u5411\u4e0a\u7684\u4f4d\u79fb\u5927\u5c0f\uff09\u3002\u6bd4\u5982\u4eba\u8239\u6a21\u578b\u3002<\/strong><\/p>\n<p><strong>\u4e94\u3001\u6784\u5efa\u57fa\u672c\u7269\u7406\u6a21\u578b\u2014\u2014\u5b66\u597d\u52a8\u91cf\u5b88\u6052\u7684\u6cd5\u5b9d\uff1a<\/strong><\/p>\n<p><strong>1\u3001\u4eba\u8239\u6a21\u578b\uff1a<\/strong><\/p>\n<p><strong>\u7279\u70b9\uff1a\u7cfb\u7edf\u521d\u59cb\u52a8\u91cf\u4e3a\u96f6\uff0c\u4f60\u52a8\u6211\u53cd\u52a8\uff0c\u4f60\u5feb\u6211\u5feb\uff0c\u4f60\u6162\u6211\u6162\uff0c\u4f60\u505c\u6211\u4e5f\u505c\u3002\u4ece\u80fd\u91cf\u7684\u89d2\u5ea6\u770b\uff0c\u5f53\u7cfb\u7edf\u8fd0\u52a8\u65f6\uff0c\u4eba\u4f53\u5185\u5316\u5b66\u80fd\u8f6c\u5316\u4e3a\u7cfb\u7edf\u52a8\u80fd\u3002<\/strong><\/p>\n<p>\u4f8b15\uff1a\u5982\u56fe8-6\u6240\u793a\uff0c\u5728\u5e73\u9759\u7684\u6c34\u9762\u4e0a\u6d6e\u7740\u4e00\u53ea\u8d28\u91cf\u4e3aM\u3001\u957f\u5ea6\u4e3aL\u7684\u8239(\u8239\u5904\u4e8e\u9759\u6b62\u72b6\u6001)\uff0c\u8239\u7684\u53f3\u7aef(B\u7aef)\u7ad9\u7740\u4e00\u4e2a\u8d28\u91cf\u4e3am\u7684\u4eba\uff0c\u5f53\u4eba\u4ece\u8239\u7684\u53f3\u7aef\u8d70\u5230\u8239\u7684\u5de6\u7aef(A\u7aef)\u7684\u8fc7\u7a0b\u4e2d\uff0c\u600e\u6837\u6c42\u8239\u7684\u4f4d\u79fbS<sub>M<\/sub>\u7684\u5927\u5c0f?(\u6c34\u7684\u963b\u529b\u4e0d\u8ba1)<\/p>\n<p>\u00a0\u00a0\u89e3\u6790\uff1a\u7814\u7a76\u4eba\u548c\u8239\u7ec4\u6210\u7684\u7cfb\u7edf\uff0c\u4ee5\u6c34\u5e73\u5411\u5de6\u7684\u65b9\u5411\u4e3a\u6b63\u65b9\u5411\u3002\u8bbe\u5206\u522b\u4e3a\u4eba\u3001\u8239\u5728\u67d0\u540c\u4e00\u65f6\u523b\u7684\u901f\u5ea6\uff0c\u5219\u7531\u52a8\u91cf\u5b88\u6052\u5b9a\u5f8b\uff0c\u6709,\u5373<\/p>\n<p>\u00a0\u00a0\u00a0\u7ecf\u5f88\u77ed\u65f6\u95f4\u25b3t(\u5728\u8fd9\u5f88\u77ed\u7684\u65f6\u95f4\u5185\uff0c\u53ef\u8ba4\u4e3a\u4eba\u3001\u8239\u5206\u522b\u4ee5\u5927\u5c0f\u4e3a\u7684\u901f\u5ea6\u5206\u522b\u5411\u5de6\u3001\u5411\u53f3\u505a\u5300\u901f\u8fd0\u52a8)\uff0c\u6709<\/p>\n<p>\u6240\u4ee5<\/p>\n<p>\u56e0\u4e3a\u00a0\uff0c<\/p>\n<p>\u6240\u4ee5<\/p>\n<p>\u56e0\u4e3a<\/p>\n<p>\u6240\u4ee5\u8239\u7684\u4f4d\u79fb\u5927\u5c0f\u4e3a,\u4eba\u5bf9\u5730\u9762\u7684\u4f4d\u79fb\u5927\u5c0f\u4e3a<\/p>\n<p>\u6709\u4e9b\u4e66\u4e0a\u5229\u7528\u4eba\u8239\u7cfb\u7edf\u5e73\u5747\u52a8\u91cf\u5b88\u6052\uff0c\u4e5f\u5f97\u5230\u4e86\u7ed3\u8bba\uff0c\u4f46\u662f\u6ca1\u6709\u6ce8\u610f\u52a8\u91cf\u5b88\u6052\u5b9a\u5f8b\u7684\u77ac\u65f6\u6027\uff0c\u90a3\u53ea\u662f\u4e00\u79cd\u7b49\u6548\u7684\u505a\u6cd5\u3002<\/p>\n<p><strong>\u62d3\u53d8\uff1a\u201c\u7c7b\u4eba\u8239\u6a21\u578b\u201d\uff0c\u89c1\u6d3b\u9898\u5de7\u89e3\u4f8b13\u3001\u4f8b14 \u3002<\/strong><\/p>\n<p><strong>2\u3001\u201c\u5b50\u5f39\u6253\u6728\u5757\u201d\u6a21\u578b<\/strong><\/p>\n<p><strong>\u7279\u70b9\uff1a\u4e00\u4e2a\u7269\u4f53\u5728\u53e6\u4e00\u4e2a\u7269\u4f53\u8868\u9762\u6216\u5185\u90e8\u8fd0\u52a8\uff0c\u5728\u8fd0\u52a8\u65b9\u5411\u4e0d\u53d7\u5916\u529b\uff0c\u52a8\u91cf\u5b88\u6052\u3002\u4ece\u80fd\u91cf\u7684\u89c2\u70b9\u770b\uff0c\u7cfb\u7edf\u7684\u52a8\u80fd\u635f\u5931\u8f6c\u5316\u4e3a\u4e24\u8005\u7684\u5185\u80fd\u3002\u7279\u522b\u6ce8\u610f<\/strong><strong>\u3002<\/strong><\/p>\n<p>\u4f8b16\uff1a\u8d28\u91cf\u4e3aM\u7684\u6728\u5757\u9759\u6b62\u5728\u5149\u6ed1\u6c34\u5e73\u9762\u4e0a\uff0c\u4e00\u8d28\u91cf\u4e3am\u901f\u5ea6\u4e3a\u7684\u5b50\u5f39\u6c34\u5e73\u5c04\u4eba\u6728\u5757\u4e2d\uff0c\u6c42\uff1a1\uff09\u3001\u5982\u679c\u5b50\u5f39\uff0c\u800c\u9759\u6b62\u5728\u6728\u5757\u4e2d\uff0c\u5b50\u5f39\u7684\u6700\u7ec8\u901f\u5ea6\uff1b2\uff09\u3001\u5982\u679c\u5b50\u5f39\u672a\u7a7f\u51fa\uff0c\u6240\u53d7\u963b\u529b\u7684\u5927\u5c0f\u6052\u4e3aF\uff0c\u6c42\u5b50\u5f39\u6253\u8fdb\u6728\u5757\u7684\u6df1\u5ea6\u4e3aL\u30023\uff09\u3001\u5982\u679c\u5b50\u5f39\u80fd\u591f\u4ee5\u901f\u5ea6\u7a7f\u51fa\uff0c\u6c42\u5b50\u5f39\u7a7f\u51fa\u540e\uff0c\u6728\u5757\u7684\u901f\u5ea6\u3002<\/p>\n<p>\u89e3\uff1a\u9009\u7cfb\u7edf\u4e3a\u7814\u7a76\u5bf9\u8c61\uff0c\u6c34\u5e73\u65b9\u5411\u4e0d\u53d7\u5916\u529b\uff0c\u52a8\u91cf\u5b88\u6052\u3002<\/p>\n<p>1\uff09\u3001\u9898\u4e2d\u7684\u201c\u9759\u6b62\u201d\uff0c\u53ea\u662f\u4e24\u8005\u76f8\u5bf9\u9759\u6b62\uff0c\u8bbe\u4ed6\u4eec\u7684\u5171\u540c\u901f\u5ea6\u4e3a\uff0cm=(m+M)<\/p>\n<p>\u5219\uff1a\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u2460<\/p>\n<p><strong>2\uff09\u3001\u4ece\u80fd\u91cf\u7684\u89c2\u70b9\u770b\u7cfb\u7edf\u514b\u670d\u5185\u90e8\u6469\u64e6\u529b\u505a\u529f(\u6469\u64e6\u529b\u4e0e\u7269\u4f53\u76f8\u5bf9\u8def\u7a0b\u7684\u4e58\u79ef)\u7b49\u4e8e\u7cfb\u7edf\u52a8\u80fd\u7684\u635f\u5931\u3002\u5373<\/strong><strong>\u3002\u8be5\u5f0f\u4e00\u5b9a\u8981\u8bb0\u4f4f\u3002\u4f8b\u5982\u6d3b\u9898\u5de7\u89e3\uff08\u4f8b16\u2014\u4f8b18\uff09<\/strong><\/p>\n<p>\u7531\u7cfb\u7edf\u80fd\u91cf\u5b88\u6052\u5f97\uff1a\u00a0\u00a0\u00a0\u00a0\u00a0\u2461<\/p>\n<p>\u7531\u2460\u2461\u89e3\u5f97\uff1a\u00a0<\/p>\n<p>3\uff09\u3001\u7cfb\u7edf\u52a8\u91cf\u5b88\u6052\uff1am=m+M\u00a0\u00a0\u5219\uff1a<\/p>\n<p>\u6ce8\u610f\uff1a\u65b9\u7a0b\u2461\u662f\u89e3\u9898\u7684\u6377\u5f84\uff0c\u63a8\u5bfc\u5982\u4e0b\uff1a\u5982\u56fe8-7\uff0c<\/p>\n<p>\u5206\u522b\u9009\u5b50\u5f39\u548c\u6728\u5757\u4e3a\u7814\u7a76\u5bf9\u8c61\uff0c\u7531\u52a8\u80fd\u5b9a\u7406\u5f97<\/p>\n<p>\u5bf9\u5b50\u5f39\uff1a \u00a0\u00a0\u00a0\u00a0\u00a0\u2462<\/p>\n<p>\u5bf9\u6728\u5757\uff1a \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u2463<\/p>\n<p>\u7531\u2462+\u2463\u89e3\u5f97\uff1a\u00a0\u9664\u53bb\u8d1f\u53f7\u5c31\u53ef\u5f97\u65b9\u7a0b\u2461\u3002<\/p>\n<p><strong>\u62d3\u53d8\uff1a\u201c\u7c7b\u5b50\u5f39\u6728\u5757\u201d\u6a21\u578b\u2014\u2014\u6728\u5757\u4e0e\u5e73\u677f\u8f66\uff0c\u89c1\u6d3b\u9898\u5de7\u89e3\u4f8b15\u3001\u4f8b16\u3001\u4f8b17 \u3002<\/strong><\/p>\n<p><strong>3\u3001\u201c\u6728\u5757\u5f39\u7c27\u201d\u6a21\u578b<\/strong><\/p>\n<p><strong>\u7279\u70b9\uff1a\u4e24\u7269\u4f53\u4e4b\u95f4\u901a\u8fc7\u5f39\u7c27\u4f5c\u7528\uff0c\u4e0d\u53d7\u5176\u5b83\u5916\u529b\uff0c\u6ee1\u8db3\u52a8\u91cf\u5b88\u6052\uff0c\u4ece\u80fd\u91cf\u89c2\u70b9\u770b\uff0c\u7cfb\u7edf\u4e2d\u6709\u5f39\u6027\u52bf\u80fd\u53c2\u4e0e\u8f6c\u5316\uff0c\u5e76\u4e14\u5f53\u4e24\u7269\u4f53\u901f\u5ea6\u76f8\u7b49\u65f6\uff0c\u5f39\u7c27\u538b\u7f29\u91cf\u6700\u5927\uff0c\u5f39\u7c27\u5f39\u6027\u52bf\u80fd\u8fbe\u5230\u6700\u5927\u3002<\/strong><\/p>\n<p>\u4f8b17\u3001\u5982\u56fe8-8\u6240\u793a\uff0c\u8d28\u91cfM=2m\u7684\u5149\u6ed1\u6728\u677f\u9759\u6b62\u653e\u5728\u5149\u6ed1\u6c34\u5e73\u9762\u4e0a\uff0c\u6728\u677f\u5de6\u7aef\u56fa\u5b9a\u4e00\u6839\u8f7b\u8d28\u5f39\u7c27\uff0c\u4e00\u8d28\u91cf\u4e3am\u7684\u5c0f\u6728\u5757(\u53ef\u89c6\u4e3a\u8d28\u70b9)\uff0c\u4ece\u6728\u5757\u7684\u53f3\u7aef\u4ee5\u672a\u77e5\u7684\u901f\u5ea6\u5f00\u59cb\u6cbf\u6728\u677f\u5411\u5de6\u6ed1\u884c\u3002\u82e5\u5728\u5c0f\u6728\u5757\u538b\u7f29\u5f39\u7c27\u7684\u8fc7\u7a0b\u4e2d\uff0c\u5f39\u7c27\u5177\u6709\u6700\u5927\u7684\u5f39\u6027\u52bf\u80fd\u4e3aEp\uff0c\u6c42\u672a\u77e5\u901f\u5ea6\u7684\u5927\u5c0f\u3002<\/p>\n<p>\u89e3\uff1a\u6728\u677f\u3001\u6728\u5757\u3001\u5f39\u7c27\u4e09\u8005\u6240\u7ec4\u6210\u7684\u7cfb\u7edf\u6ee1\u8db3\u52a8\u91cf\u5b88\u6052\u3002\u5f53\u6728\u5757\u4e0e\u6728\u677f\u8fbe\u5230\u5171\u540c\u901f\u5ea6\uff0c\u4e24\u8005\u76f8\u8ddd\u6700\u8fd1\uff0c\u5f39\u7c27\u538b\u7f29\u91cf\u6700\u5927\uff0c\u5f39\u7c27\u5177\u6709\u6700\u5927\u5f39\u6027\u52bf\u80fd\u3002m=(m+M)\u00a0\u00a0\u00a0\u2460<\/p>\n<p>\u53c8\u56e0\u4e3a\u7cfb\u7edf\u80fd\u91cf\u5b88\u6052\u5f97\uff1a\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u2461<\/p>\n<p>\u7531\u2460\u2461\u5f97\uff1a<\/p>\n<p><strong>\u62d3\u53d8\uff1a\u7cfb\u7edf\u4e2d\u4e0d\u4ec5\u6709\u5f39\u6027\u52bf\u80fd\uff0c\u800c\u4e14\u8fd8\u6709\u5185\u80fd\u53c2\u4e0e\u8f6c\u5316\u3002\u6d3b\u9898\u5de7\u89e3<\/strong><strong>\u4f8b20\u3002<\/strong><\/p>\n<p><strong>\u516d\u3001\u5de7\u7528\u52a8\u91cf\u5b88\u6052\u5b9a\u5f8b\u6c42\u89e3\u591a\u4f53\u95ee\u9898\uff1a<\/strong><\/p>\n<p><strong>1\u3001\u5de7\u9009\u5bf9\u8c61<\/strong><\/p>\n<p>\u5bf9\u591a\u7269\u4f53\u7cfb\u7edf\uff0c\u7531\u4e8e\u53c2\u4e0e\u4f5c\u7528\u7684\u7269\u4f53\u8f83\u591a\uff0c\u4f5c\u7528\u7684\u60c5\u51b5\u6bd4\u8f83\u590d\u6742\uff0c\u56e0\u6b64\uff0c\u8981\u4ece\u5de7\u9009\u7814\u7a76\u5bf9\u8c61\u548c\u5de7\u9009\u7814\u7a76\u8fc7\u7a0b\u4e0a\u627e\u5230\u89e3\u9898\u7684\u7a81\u7834\u53e3\u3002\u65e2\u8981\u6ce8\u610f\u7cfb\u7edf\u603b\u52a8\u91cf\u5b88\u6052\uff0c\u8fd8\u8981\u6ce8\u610f\u7cfb\u7edf\u5185\u67d0\u51e0\u4e2a\u7269\u4f53\u53d1\u751f\u4f5c\u7528\u65f6\u52a8\u91cf\u4e5f\u5b88\u6052\u3002<\/p>\n<p>\u4f8b12\uff1a\u8d28\u91cf\u76f8\u7b49\u7684\u4e94\u4e2a\u7269\u4f53\u5728\u5149\u6ed1\u6c34\u5e73\u9762\u4e0a\u95f4\u9694\u4e00\u5b9a\u8ddd\u79bb\u6392\u6210\u4e00\u6761\u76f4\u7ebf\uff0c\u5982\u56fe8-9\u6240\u793a\uff0c\u5177\u6709\u521d\u901f\u5ea6<em>v<\/em><sub>0<\/sub>\u7684\u7269\u4f531\u5411\u5176\u5b834\u4e2a\u9759\u6b62\u7269\u4f53\u8fd0\u52a8\uff0c\u4f9d\u6b21\u53d1\u751f\u78b0\u649e\uff0c\u6bcf\u6b21\u78b0\u649e\u540e\u4e0d\u518d\u5206\u5f00\uff0c\u6700\u540e5\u4e2a\u7269\u4f53\u7c98\u6210\u4e00\u6574\u4f53\uff0c\u5219\u8fd9\u4e2a\u6574\u4f53\u7684\u901f\u5ea6\u7b49\u4e8e\u591a\u5c11\uff1f<\/p>\n<p>\u89e3\u6790\uff1a\u8fd9\u662f\u4e00\u4e2a\u6d89\u53ca\u4e94\u4e2a\u7269\u4f53\u7684\u591a\u7269\u4f53\u7cfb\u7edf\u3002\u5f53\u7269\u4f531\u4e0e\u7269\u4f532 \u53d1\u751f\u78b0\u649e\u7684\u8fc7\u7a0b\u4e2d\uff0c\u53d6\u7269\u4f531\u548c\u7269\u4f532\u4e3a\u7814\u7a76\u5bf9\u8c61\uff0c\u5b83\u4eec\u7684\u603b\u52a8\u91cf\u5b88\u6052\u3002\u63a5\u7740\uff0c\u7269\u4f531\u548c\u7269\u4f532\u7ec4\u6210\u4e00\u4e2a\u7269\u4f53\uff0c\u5728\u4e0e\u7269\u4f533\u53d1\u751f\u78b0\u649e\uff0c\u53d6\u7269\u4f531\u3001\u7269\u4f532\u548c\u7269\u4f533\u4e3a\u7814\u7a76\u5bf9\u8c61\uff0c\u5b83\u4eec\u7684\u603b\u52a8\u91cf\u4e5f\u5b88\u6052\u3002\u4f9d\u6b64\u7c7b\u63a8\uff0c\u672c\u9898\u4e00\u5171\u5c06\u53d1\u751f\u56db\u6b21\u78b0\u649e\uff0c\u6bcf\u6b21\u78b0\u649e\u90fd\u6ee1\u8db3\u52a8\u91cf\u5b88\u6052\u6761\u4ef6\uff0c\u5206\u522b\u5e94\u7528\u52a8\u91cf\u5b88\u6052\u5b9a\u5f8b\u6c42\u51fa\u6bcf\u6b21\u78b0\u649e\u540e\u7684\u901f\u5ea6\uff0c\u4ece\u800c\u53ef\u6c42\u51fa\u6700\u540e\u7684\u7ed3\u679c\u3002\u4f46\u5982\u679c\u53d6\u6709\u4e94\u4e2a\u7269\u4f53\u7ec4\u6210\u7684\u7cfb\u7edf\u4e3a\u7814\u7a76\u5bf9\u8c61\uff0c\u5b83\u4eec\u7684\u603b\u52a8\u91cf\u5b88\u6052\uff0c\u6c42\u89e3\u8fc7\u7a0b\u5c31\u663e\u5f97\u975e\u5e38\u7684\u7b80\u4fbf\uff1a<em>mv<\/em><sub>0<\/sub><em>=5mv <\/em>,\u5f97\uff1a<em>v=v<\/em><sub>0<\/sub><em>\/5\u3002<\/em><\/p>\n<p><strong>2\u3001\u6784\u5efa\u6a21\u578b<\/strong><\/p>\n<p>\u5728\u591a\u7269\u4f53\u7cfb\u7edf\u5185\u53d1\u751f\u76f8\u4e92\u4f5c\u7528\u7684\u8fc7\u7a0b\u4e2d\uff0c\u4e0d\u4ec5\u8981\u8ba4\u6e05\u4f5c\u7528\u7684\u8fc7\u7a0b\u548c\u53c2\u4e0e\u7684\u7269\u4f53\uff0c\u800c\u4e14\u8981\u6839\u636e\u4f5c\u7528\u7684\u7279\u70b9\u548c\u89c4\u5f8b\u7269\u7406\u6a21\u578b\uff0c\u4e3a\u987a\u5229\u8fd0\u7528\u52a8\u91cf\u5b88\u6052\u5b9a\u5f8b\u94fa\u5e73\u9053\u8def\uff0c\u5c24\u5176\u662f\u5bf9\u78b0\u649e\u7c7b\u95ee\u9898\uff0c\u7531\u4e8e\u78b0\u649e\u65f6\u95f4\u6781\u77ed\u3001\u4f5c\u7528\u529b\u5f88\u5927\u7b49\u7279\u70b9\uff0c\u53c2\u4e0e\u4f5c\u7528\u7684\u5f80\u5f80\u5c31\u662f\u53d1\u751f\u78b0\u649e\u7684\u4e24\u4e2a\u7269\u4f53\uff0c\u800c\u4e0e\u5176\u4ed6\u7269\u4f53\u65e0\u5173\u3002<\/p>\n<p>\u4f8b13\uff1a\u5982\u56fe8-10\uff0c\u7532\u3001\u4e59\u4e24\u5b8c\u5168\u4e00\u6837\u7684\u5c0f\u8f66\uff0c\u8d28\u91cf\u90fd\u4e3a<em>M<\/em>\uff0c\u4e59\u8f66\u5185\u7528\u7ef3\u540a\u4e00\u8d28\u91cf\u4e3a\u7684\u5c0f\u7403\uff0c\u5f53\u4e59\u8f66\u9759\u6b62\u65f6\uff0c\u7532\u8f66\u4ee5<em>v<\/em>\u901f\u5ea6\u4e0e\u4e59\u8f66\u76f8\u78b0\uff0c\u78b0\u540e\u8fde\u4e3a\u4e00\u4f53\uff0c\u6c42\uff1a\uff081\uff09\u3001\u4e24\u8f66\u521a\u78b0\u540e\u7684\u5171\u540c\u901f\u5ea6\u591a\u5927\uff1f\uff082\uff09\u3001\u5c0f\u7403\u6446\u5230\u6700\u9ad8\u70b9\u65f6\u7684\u901f\u5ea6\u4e3a\u591a\u5927\uff1f<\/p>\n<p>\u89e3\u6790\uff1a\u7531\u4e8e\u78b0\u649e\u65f6\u95f4\u6781\u77ed\uff0c\u4e59\u8f66\u5728\u78b0\u649e\u65f6\u95f4\u5185\u7684\u4f4d\u79fb\u53ef\u5ffd\u7565\u4e0d\u8ba1\uff0c\u5c0f\u7403\u6765\u4e0d\u53ca\u6446\u52a8\uff0c\u7403\u4e0e\u8f66\u5728\u6c34\u5e73\u65b9\u5411\u65e0\u4f5c\u7528\u3002\u9009\u62e9\u7532\u548c\u4e59\u4e3a\u7814\u7a76\u5bf9\u8c61\uff0c\u6784\u5efa\u78b0\u649e\u6a21\u578b\uff0c\u7531\u52a8\u91cf\u5b88\u6052\u5b9a\u5f8b\u5f97\uff1a<\/p>\n<p>\u63a5\u7740\uff0c\u4e24\u8f66\u6574\u4f53\u4ee5\u5171\u540c\u901f\u5ea6<em>v<\/em><sub>1<\/sub>\u5411\u53f3\u8fd0\u52a8\uff0c\u5728\u7ef3\u5b50\u7684\u4f5c\u7528\u4e0b\uff0c\u5c0f\u7403\u4f7f\u8f66\u5411\u53f3\u51cf\u901f\uff0c\u5c0f\u7403\u5411\u53f3\u52a0\u901f\uff0c\u53c2\u4e0e\u4f5c\u7528\u7684\u662f\u4e09\u4e2a\u7269\u4f53\u3002\u6446\u5230\u6700\u9ad8\u70b9\u7684\u610f\u601d\uff0c\u5c31\u662f\u5c0f\u7403\u65e0\u6cd5\u518d\u76f8\u5bf9\u4e8e\u4e59\u8f66\u5411\u4e0a\u5347\uff0c\u5373\u6ca1\u6709\u7ad6\u76f4\u5411\u4e0a\u7684\u901f\u5ea6\uff08\u76f8\u5bf9\u4e0e\u4e59\u7684\u901f\u5ea6\uff09\uff0c\u6240\u4ee5\u6b64\u65f6\uff0c\u7403\u4e0e\u4e59\uff08\u5305\u62ec\u7532\uff09\u7684\u901f\u5ea6\u76f8\u7b49\uff1a<\/p>\n<p><strong>3\u3001\u5de7\u7528\u5b9a\u5f8b\uff1a<\/strong>\u52a8\u91cf\u5b88\u6052\u5b9a\u5f8b\u7684\u8868\u8fbe\u5f0f\u5f88\u591a\uff08\u89c1\u4e0a\u9762\u201c\u4e09\u8868\u8fbe\u201d\uff09\uff0c\u6070\u5f53\u9009\u62e9\u8868\u8fbe\u65b9\u5f0f\u53ef\u4ee5\u7b80\u5316\u95ee\u9898\u3002<\/p>\n<p><strong>4\u3001\u5bfb\u627e\u89c4\u5f8b\uff1a<\/strong>\u5bf9\u591a\u7269\u4f53\u53c2\u4e0e\u4f5c\u7528\uff0c\u4f5c\u7528\u8fc7\u7a0b\u53c8\u6bd4\u8f83\u590d\u6742\u7684\u591a\u7269\u4f53\u95ee\u9898\uff0c\u53c8\u662f\u8ba9\u4eba\u89c9\u5f97\u65e0\u4ece\u4e0b\u624b\u3002\u89e3\u51b3\u8fd9\u7c7b\u95ee\u9898\uff0c\u8981\u5584\u4e8e\u5f04\u6e05\u6bcf\u4e00\u4e2a\u5b50\u8fc7\u7a0b\u548c\u5728\u5404\u5b50\u8fc7\u7a0b\u4e2d\u53c2\u4e0e\u4f5c\u7528\u7684\u7269\u4f53\uff0c\u5bf9\u5404\u5b50\u8fc7\u7a0b\u7684\u4f5c\u7528\u7279\u70b9\u53ca\u7269\u4f53\u7684\u8fd0\u52a8\u7279\u5f81\u8fdb\u884c\u6df1\u5165\u5730\u5206\u6790\u3001\u5f52\u7eb3\u548c\u603b\u7ed3\u3002<\/p>\n<p><strong>\u4e03\u3001\u5de7\u7528\u52a8\u91cf\u5b88\u6052\u5b9a\u5f8b\u6c42\u89e3\u591a\u8fc7\u7a0b\u95ee\u9898\uff1a<\/strong><\/p>\n<p>\u4e0e\u524d\u9762\u6240\u8ff0\u4e0d\u540c\u7684\u662f\uff0c\u8fd9\u7c7b\u95ee\u9898\u7279\u70b9\u662f\u4f5c\u7528\u8fc7\u7a0b\u592a\u591a\uff0c\u4f46\u53c2\u4e0e\u7269\u4f53\u672a\u5fc5\u5f88\u591a\u3002\u5173\u952e\u5728\u4e8e\u5206\u6790\uff0c\u91c7\u7528\u7a0b\u5e8f\u6cd5\u786e\u5b9a\u6240\u7814\u7a76\u7684\u7cfb\u7edf\u662f\u7531\u54ea\u4e9b\u7269\u4f53\u7ec4\u6210\u7684\uff0c\u5bf9\u5168\u8fc7\u7a0b\u8fdb\u884c\u5206\u6bb5\u5206\u6790\uff0c\u660e\u786e\u5728\u54ea\u4e9b\u9636\u6bb5\u4e2d\uff0c\u54ea\u4e9b\u7269\u4f53\u53d1\u751f\u76f8\u4e92\u4f5c\u7528\uff0c\u7262\u7262\u628a\u63e1\u6bcf\u4e2a\u5b50\u8fc7\u7a0b\u7684\u7269\u7406\u7279\u5f81\uff0c\u82e5\u6d89\u53ca\u5b50\u8fc7\u7a0b\u7684\u95ee\u9898\u5c31\u8981\u91c7\u7528\u5b50\u8fc7\u7a0b\u6c42\u89e3\u6cd5\uff1b\u82e5\u53ea\u8003\u8651\u6700\u7ec8\u7684\u7ed3\u679c\uff0c\u5b9c\u91c7\u7528\u5168\u8fc7\u7a0b\u6c42\u89e3\u6cd5\u3002<\/p>\n<p>\u4f8b14\uff1a\uff082004\u5e74\u00b7\u5168\u56fd\u7406\u7efc\uff09\u5982\u56fe8-11\uff0c\u957f\u6728\u677fab\u7684b\u7aef\u56fa\u5b9a\u4e00\u6321\u677f\uff0c\u6728\u677f\u8fde\u540c\u6321\u677f\u7684\u8d28\u91cf\u4e3aM=4.0kg\uff0ca\u3001b\u95f4\u8ddd\u79bbS=2.0m\u3002\u6728\u677f\u4f4d\u4e8e\u5149\u6ed1\u6c34\u5e73\u9762\u4e0a\uff0c\u5728\u6728\u677fa\u7aef\u6709\u4e00\u5c0f\u7269\u5757\uff0c\u5176\u8d28\u91cfm=1.0kg\uff0c\u5c0f\u7269\u5757\u4e0e\u6728\u677f\u95f4\u7684\u52a8\u6469\u64e6\u56e0\u6570\u03bc=0.1\u3002\u5b83\u4eec\u90fd\u5904\u4e8e\u9759\u6b62\u72b6\u6001\u3002\u73b0\u4ee4\u5c0f\u7269\u5757\u4ee5\u521d\u901fV<sub>0<\/sub>=4.0m\/s\u6cbf\u6728\u677f\u5411\u524d\u6ed1\u52a8\uff0c\u76f4\u5230\u548c\u6321\u677f\u76f8\u649e\u3002\u78b0\u649e\u540e\uff0c\u5c0f\u7269\u5757\u6070\u597d\u56de\u5230a\u7aef\u800c\u4e0d\u8131\u79bb\u6728\u677f\u3002\u6c42\u78b0\u649e\u8fc7\u7a0b\u4e2d\u635f\u5931\u7684\u673a\u68b0\u80fd\u3002<\/p>\n<p>\u5206\u6790\uff1a\u6574\u4e2a\u8fd0\u52a8\u8fc7\u7a0b\u53ef\u5206\u4e3a\u4ee5\u4e0b\u51e0\u4e2a\u9636\u6bb5\uff1a<\/p>\n<p>\uff081\uff09\u7269\u5757\u5f00\u59cb\u8fd0\u52a8\u5230\u4e0eb\u78b0\u649e\uff0c\u6469\u64e6\u529b\u5bf9\u6728\u677f\u505a\u529fW<sub>1<\/sub>\uff0c\u5bf9\u7269\u5757\u505a\u529f\u4e3aW<sub>2<\/sub>\uff1b<\/p>\n<p>\uff082\uff09\u78b0\u649e\u540e\u7269\u5757\u56de\u5230a\u7aef\u8fc7\u7a0b\uff0c\u6469\u64e6\u529b\u5bf9\u6728\u677f\u505a\u529fW<sub>3<\/sub>\uff0c\u5bf9\u7269\u5757\u505a\u529f\u4e3aW<sub>4<\/sub>\uff1b<\/p>\n<p>\u5219\u5168\u8fc7\u7a0b\u4e2d\u6469\u64e6\u529b\u505a\u7684\u603b\u529f\u4e3a\uff1aW= W<sub>1<\/sub>\u00a0+W<sub>2<\/sub>\u00a0+W<sub>3<\/sub>+ W<sub>4<\/sub>\uff0c\u78b0\u649e\u8fc7\u7a0b\u4e2d\u635f\u5931\u7684\u673a\u68b0\u80fd\u53ef\u7528\u5168\u8fc7\u7a0b\u635f\u5931\u7684\u673a\u68b0\u80fd\u51cf\u6469\u64e6\u529b\u6240\u505a\u7684\u529f\u3002<\/p>\n<p>\u00a0\u89e3\u7b54\uff1a\u8bbe\u6728\u5757\u4e0e\u7269\u5757\u6700\u540e\u5171\u540c\u7684\u901f\u5ea6\u4e3aV\uff0c\u5168\u8fc7\u7a0b\u4e2d\u635f\u5931\u7684\u673a\u68b0\u80fd\u4e3aE\uff1a<\/p>\n<p>\u5219\u52a8\u91cf\u5b88\u6052\u548c\u80fd\u91cf\u5b88\u6052\u5b9a\u5f8b\uff1a mV<sub>0<\/sub>=\uff08M+m\uff09V \u00a0\u00a0<\/p>\n<p>\u00a0\u00a0\u00a0\u8bbe\u7269\u5757\u4ece\u5f00\u59cb\u8fd0\u52a8\u5230\u78b0\u649e\u524d\u77ac\u95f4\u6728\u677f\u7684\u4f4d\u79fb\u4e3aS<sub>1<\/sub>\uff0c \u5219\u8fd9\u6bb5\u65f6\u95f4 \u00a0<\/p>\n<p>\u6469\u64e6\u529b\u5bf9\u6728\u677f\u505a\u529f\uff1aW<sub>1<\/sub>=\u03bcmgS<sub>1<\/sub>\uff0c\u5bf9\u7269\u5757\u505a\u529f\u4e3a\uff1aW<sub>2<\/sub>= \u2212\u03bcmg\uff08S+S<sub>1<\/sub>\uff09<\/p>\n<p>\u8bbe\u4ece\u78b0\u649e\u540e\u77ac\u95f4\u5230\u7269\u5757\u56de\u5230a\u7aef\u65f6\u6728\u677f\u7684\u4f4d\u79fb\u4e3aS<sub>2<\/sub>\uff0c\u5219\u8fd9\u6bb5\u65f6\u95f4 \u00a0<\/p>\n<p>\u6469\u64e6\u529b\u5bf9\u6728\u677f\u505a\u529f\uff1aW<sub>3<\/sub>= \u2212\u03bcmgS<sub>2<\/sub>\uff0c\u5bf9\u7269\u5757\u505a\u529f\u4e3a\uff1aW<sub>2<\/sub>=\u03bcmg\uff08S<sub>2<\/sub>\u2212S\uff09<\/p>\n<p>\u6240\u4ee5\u78b0\u649e\u8fc7\u7a0b\u4e2d\u635f\u5931\u7684\u673a\u68b0\u80fd\uff1aE<sub>1<\/sub>=E\u2212\uff08W<sub>1<\/sub>\u00a0+W<sub>2<\/sub>\u00a0+W<sub>3<\/sub>+ W<sub>4<\/sub>\uff09<\/p>\n<p>\u4ee3\u5165\u6570\u636e\u5f97\uff1aE<sub>1<\/sub>=2.4J\u3002<\/p>\n<p><strong>\u516b\u3001\u4ece\u80fd\u91cf\u89d2\u5ea6\u770b\u52a8\u91cf\u5b88\u6052\u95ee\u9898\u4e2d\u7684\u57fa\u672c\u7269\u7406\u6a21\u578b\u2014\u2014\u52a8\u91cf\u5b66\u4e60\u7684\u63d0\u9ad8\u7bc7\uff08\u4f9b\u57fa\u7840\u8f83\u597d\u7684\u5b66\u751f\u5b66\u4e60\uff09\u3002<\/strong><\/p>\n<p>\u524d\u9762\u6240\u8ff0\u76843\u79cd\u6a21\u578b\uff0c\u662f\u4ece\u6784\u6210\u7cfb\u7edf\u7684\u5177\u4f53\u7269\u4f53\u7684\u540d\u79f0\u6765\u5212\u5206\u7269\u7406\u6a21\u578b\u7684\u3002\u4ece\u80fd\u91cf\u89d2\u5ea6\uff0c\u53ef\u628a\u52a8\u91cf\u5b88\u6052\u95ee\u9898\u4e2d\u7684\u57fa\u672c\u7269\u7406\u6a21\u578b\u5206\u4e3a\uff1a<\/p>\n<p><strong>1\u3001\u53cd\u51b2\u3001\u7206\u70b8\uff1a\u6ee1\u8db3\u52a8\u91cf\u5b88\u6052\u7684\u540c\u65f6\uff0c\u7cfb\u7edf\u52a8\u80fd\u589e\u52a0\u3002\u5982\u201c\u4eba\u8239\u6a21\u578b\u201d<\/strong><\/p>\n<p><strong>2\u3001\u78b0\u649e\uff1a\u6ee1\u8db3\u52a8\u91cf\u5b88\u6052\u7684\u540c\u65f6\uff0c\u7cfb\u7edf\u52a8\u80fd\u4e0d\u4f1a\u589e\u52a0\u3002<\/strong><\/p>\n<p><strong>\u7279\u70b9\uff1a<\/strong>\u4f5c\u7528\u65f6\u95f4\u5f88\u77ed\uff0c\u76f8\u4e92\u4f5c\u7528\u529b\u5f88\u5927\u3002\u7cfb\u7edf\u5185\u529b\u8fdc\u5927\u4e8e\u5916\u529b\uff0c\u7cfb\u7edf\u52a8\u91cf\u5b88\u6052\u3002<\/p>\n<p><strong>\u4e00\u822c\u8fc7\u7a0b\uff1a<\/strong>\u4e00\u822c\u7ecf\u5386\u63a5\u89e6\u3001\u538b\u7f29\u3001\u5171\u901f\u3001\u6062\u590d\u3001\u5206\u79bb\u7b49\u8fc7\u7a0b\uff0c\u78b0\u649e\u8fc7\u7a0b\u4e2d\uff0c\u5f53\u7269\u4f53\u7684\u901f\u5ea6\u76f8\u540c\u65f6\uff0c\u7cfb\u7edf\u7684\u52a8\u80fd\u6700\u5c0f\uff0c\u635f\u5931\u7684\u52a8\u80fd\u6700\u5927\uff0c\u4ea7\u751f\u7684\u5176\u4ed6\u80fd\u6700\u591a\u3002<\/p>\n<p><strong>A\u3001\u5f39\u6027\u78b0\u649e\uff1a<\/strong>\u7cfb\u7edf\u635f\u5931\u7684\u52a8\u80fd\u5168\u90e8\u8f6c\u5316\u4e3a\u5f39\u6027\u52bf\u80fd\uff0c\u4f46\u78b0\u649e\u635f\u5931\u7684\u52a8\u80fd\u80fd\u591f\u5b8c\u5168\u6062\u590d\u3002\u65e2\u6ee1\u8db3\u52a8\u91cf\u5b88\u6052\u5b9a\u5f8b\u53c8\u6ee1\u8db3\u673a\u68b0\u80fd\u5b88\u6052\u5b9a\u5f8b\u3002\u5982\u201c\u6728\u5757\u5f39\u7c27\u6a21\u578b\u201d\u3002<\/p>\n<p>\u5982\u679c\u8d28\u91cf\u76f8\u7b49\u7684\u7269\u4f53\u53d1\u751f\u5f39\u6027\u78b0\u649e\uff0c\u78b0\u540e\u4e24\u8005\u901f\u5ea6\u4ea4\u6362\u3002<\/p>\n<p><strong>B\u3001\u4e00\u822c\u7684\u975e\u5f39\u6027\u78b0\u649e\uff1a<\/strong>\u78b0\u649e\u635f\u5931\u7684\u52a8\u80fd\u53ea\u662f\u90e8\u5206\u6062\u590d\u3002<\/p>\n<p><strong>C\u3001\u5b8c\u5168\u975e\u5f39\u6027\u78b0\u649e\uff1a<\/strong>\u78b0\u649e\u635f\u5931\u7684\u52a8\u80fd\u5b8c\u5168\u6ca1\u6709\u6062\u590d\uff0c\u5168\u90e8\u8f6c\u5316\u4e3a\u5185\u80fd\u3002\u6700\u7ec8\u4ee5\u201c\u5171\u901f\u201d\u7ed3\u675f\u3002<\/p>\n<p>\u4f8b18\uff1a\u52a8\u91cf\u5206\u522b\u4e3a5kg\u00b7m\/s\u548c6kg\u00b7m\/s\u7684\u5c0f\u7403A\u3001B\u6cbf\u5149\u6ed1\u5e73\u9762\u4e0a\u7684\u540c\u4e00\u6761\u76f4\u7ebf\u540c\u5411\u8fd0\u52a8\uff0cA\u8ffd\u4e0aB\u5e76\u53d1\u751f\u78b0\u649e\u540e\u3002\u82e5\u5df2\u77e5\u78b0\u649e\u540eA\u7684\u52a8\u91cf\u51cf\u5c0f\u4e862kg\u00b7m\/s\uff0c\u800c\u65b9\u5411\u4e0d\u53d8\uff0c\u90a3\u4e48A\u3001B\u8d28\u91cf\u4e4b\u6bd4\u7684\u53ef\u80fd\u8303\u56f4\u662f\u4ec0\u4e48\uff1f<\/p>\n<p>\u89e3\u6790\uff1aA\u80fd\u8ffd\u4e0aB\uff0c\u8bf4\u660e\u78b0\u524dv<sub>A<\/sub>&gt;v<sub>B<\/sub>,\u2234\uff1b\u78b0\u540eA\u7684\u901f\u5ea6\u4e0d\u5927\u4e8eB\u7684\u901f\u5ea6\uff0c\u5373\uff1b\u53c8\u56e0\u4e3a\u78b0\u649e\u8fc7\u7a0b\u7cfb\u7edf\u52a8\u80fd\u4e0d\u4f1a\u589e\u52a0\uff0c\uff0c\u7531\u4ee5\u4e0a\u4e0d\u7b49\u5f0f\u7ec4\u89e3\u5f97\uff1a<\/p>\n<p><strong>\u6b64\u7c7b\u78b0\u649e\u95ee\u9898\u8981\u8003\u8651\u4e09\u4e2a\u56e0\u7d20\uff1a\u2460\u78b0\u649e\u4e2d\u7cfb\u7edf\u52a8\u91cf\u5b88\u6052\uff1b\u2461\u78b0\u649e\u8fc7\u7a0b\u4e2d\u7cfb\u7edf\u52a8\u80fd\u4e0d\u589e\u52a0\uff1b\u2462\u78b0\u524d\u3001\u78b0\u540e\u4e24\u4e2a\u7269\u4f53\u7684\u4f4d\u7f6e\u5173\u7cfb\uff08\u4e0d\u7a7f\u8d8a\uff09\u548c\u901f\u5ea6\u5927\u5c0f\u5e94\u4fdd\u8bc1\u5176\u987a\u5e8f\u5408\u7406\u3002<\/strong><\/p>\n<p><strong>\u4e5d\u3001\u4e00\u6761\u8fde\u7b49\u5de7\u4e32\u4e09\u628a\u201c\u91d1\u94a5\u5319\u201d<\/strong><\/p>\n<p>\u901f\u5ea6\u3001\u52a8\u91cf\u3001\u80fd\u91cf\u4e09\u4e2a\u7269\u7406\u91cf\u6700\u91cd\u8981\u7684\u533a\u522b\u662f\u524d\u4e24\u4e2a\u662f\u77e2\u91cf\uff0c\u800c\u80fd\u91cf\u662f\u6807\u91cf\u3002\u4f46\u4e09\u8005\u53c8\u6709\u7740\u5bc6\u5207\u7684\u8054\u7cfb\uff0c\u3002\u8fd9\u6761\u8fde\u7b49\u5f0f\u53c8\u53cd\u5e94\u4e86\u4e09\u5927\u89c2\u70b9(\u56fe8-12)\uff0c\u4fd7\u79f0\u89e3\u9898\u7684\u4e09\u628a\u201c\u91d1\u94a5\u5319\u201d\uff0c\u9886\u4f1a\u5e76\u4f7f\u7528\u597d\u8fd9\u79cd\u5173\u7cfb\uff0c\u53ef\u4ee5\u5f88\u597d\u7684\u89e3\u51b3\u529b\u5b66\u7efc\u5408\u9898\uff0c\u7279\u522b\u662f\u5386\u5e74\u9ad8\u8003\u538b\u8f74\u9898\u30021\u3001\u529b\u7684\u89c2\u70b9\u3002\u9996\u5148\u662f\u53d7\u529b\u5206\u6790\uff0c\u5982\u679c\u662f\u5300\u53d8\u901f\u8fd0\u52a8\u95ee\u9898\u6216\u662f\u8981\u6c42\u52a0\u901f\u5ea6\uff0c\u8fd8\u53ef\u4ee5\u7528\u725b\u987f\u8fd0\u52a8\u5b9a\u5f8b\u548c\u8fd0\u52a8\u5b66\u516c\u5f0f\u30022\u3001\u52a8\u91cf\u7684\u89c2\u70b9\uff1a\u4ece\u52a8\u91cf\u89d2\u5ea6\uff08\u52a8\u91cf\u5b88\u6052\u5b9a\u5f8b\u548c\u52a8\u91cf\u5b9a\u7406\uff09\u89e3\u9898\u65f6\u6709\u65f6\u4f18\u5148\u8003\u8651\u30023\u3001\u80fd\u91cf\u7684\u89c2\u70b9\uff1a\u6d89\u53ca\u529f\u80fd\u8f6c\u5316\u7684\u5219\u8003\u8651\u80fd\u91cf\u89c2\u70b9\uff08\u673a\u68b0\u80fd\u5b88\u6052\u5b9a\u5f8b\u3001\u80fd\u91cf\u5b88\u6052\u5b9a\u5f8b\u3001\u52a8\u80fd\u5b9a\u7406\u3001\u529f\u80fd\u539f\u7406\uff09\u3002<\/p>\n<p>\u4f8b19\uff1a\uff0804\u5e74\u00b7\u5168\u56fd\u7406\u7efc\uff09\u67f4\u6cb9\u6253\u6869\u673a\u7684\u91cd\u9524\u7531\u6c14\u7f38\u3001\u6d3b\u585e\u7b49\u82e5\u5e72\u90e8\u4ef6\u7ec4\u6210\uff0c\u6c14\u7f38\u4e0e\u6d3b\u585e\u95f4\u6709\u67f4\u6cb9\u4e0e\u7a7a\u6c14\u7684\u6df7\u5408\u7269\u3002\u5728\u91cd\u9524\u4e0e\u6869\u78b0\u649e\u7684\u8fc7\u7a0b\u4e2d\uff0c\u901a\u8fc7\u538b\u7f29\u4f7f\u6df7\u5408\u7269\u71c3\u70e7\uff0c\u4ea7\u751f\u9ad8\u6e29\u9ad8\u538b\u6c14\u4f53\uff0c\u4ece\u800c\u4f7f\u6869\u5411\u4e0b\u8fd0\u52a8\uff0c\u9524\u5411\u4e0a\u8fd0\u52a8\u3002\u73b0\u628a\u67f4\u6cb9\u6253\u6869\u673a\u548c\u6253\u6869\u8fc7\u7a0b\u7b80\u5316\u5982\u4e0b\uff1a<\/p>\n<p>\u67f4\u6cb9\u6253\u6869\u673a\u91cd\u9524\u7684\u8d28\u91cf\u4e3a<em><i>m<\/i><\/em>\uff0c\u9524\u5728\u6869\u5e3d\u4ee5\u4e0a\u9ad8\u5ea6\u4e3a<em><i>h<\/i><\/em>\u5904\uff08\u5982\u56fe8-13\uff09\u4ece\u9759\u6b62\u5f00\u59cb\u6cbf\u7ad6\u76f4\u8f68\u9053\u81ea\u7531\u843d\u4e0b\uff0c\u6253\u5728\u8d28\u91cf\u4e3a<em><i>M<\/i><\/em>\uff08\u5305\u62ec\u6869\u5e3d\uff09\u7684\u94a2\u7b4b\u6df7\u51dd\u571f\u6869\u5b50\u4e0a\u3002\u540c\u65f6\uff0c\u67f4\u6cb9\u71c3\u70e7\uff0c\u4ea7\u751f\u731b\u70c8\u63a8\u529b\uff0c\u9524\u548c\u6869\u5206\u79bb\uff0c\u8fd9\u4e00\u8fc7\u7a0b\u7684\u65f6\u95f4\u6781\u77ed\u3002\u968f\u540e\uff0c\u6869\u5728\u6ce5\u571f\u4e2d\u5411\u4e0b\u79fb\u52a8\u4e00\u8ddd\u79bb<em><i>l<\/i><\/em>\u3002\u5df2\u77e5\u9524\u53cd\u8df3\u540e\u5230\u8fbe\u6700\u9ad8\u70b9\u65f6\uff0c\u9524\u4e0e\u5df2\u505c\u4e0b\u7684\u6869\u5e45\u4e4b\u95f4\u7684\u8ddd\u79bb\u4e5f\u4e3a<em><i>h<\/i><\/em>\uff08\u5982\u56fe2\uff09\u3002\u5df2\u77e5<em><i>m<\/i><\/em>\uff1d1.0\u00d710<sup>3<\/sup>kg\uff0c<em><i>M<\/i><\/em>\uff1d2.0\u00d710<sup>3<\/sup>kg\uff0c<em><i>h<\/i><\/em>\uff1d2.0m\uff0c<em>l<\/em>\uff1d0.20m\uff0c\u91cd\u529b\u52a0\u901f\u5ea6<em><i>g<\/i><\/em>\uff1d10m\/s<sup>2<\/sup>\uff0c\u6df7\u5408\u7269\u7684\u8d28\u91cf\u4e0d\u8ba1\u3002\u8bbe\u6869\u5411\u4e0b\u79fb\u52a8\u7684\u8fc7\u7a0b\u4e2d\u6ce5\u571f\u5bf9\u6869\u7684\u4f5c\u7528\u529b<em><i>F<\/i><\/em>\u662f\u6052\u529b\uff0c\u6c42\u6b64\u529b\u7684\u5927\u5c0f\u3002<\/p>\n<p>\u89e3\uff1a\u9524\u81ea\u7531\u4e0b\u843d\uff0c\u78b0\u6869\u524d\u901f\u5ea6<em><i>v<\/i><\/em><sub>1<\/sub>\u5411\u4e0b\uff0c<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u2460<\/p>\n<p>\u78b0\u540e\uff0c\u5df2\u77e5\u9524\u4e0a\u5347\u9ad8\u5ea6\u4e3a\uff08<em><i>h<\/i><\/em>\uff0d<em><i>l<\/i><\/em>\uff09\uff0c\u6545\u521a\u78b0\u540e\u5411\u4e0a\u7684\u901f\u5ea6\u4e3a<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u2461<\/p>\n<p>\u8bbe\u78b0\u540e\u6869\u7684\u901f\u5ea6\u4e3a<em><i>V<\/i><\/em>\uff0c\u65b9\u5411\u5411\u4e0b\uff0c\u7531\u52a8\u91cf\u5b88\u6052\uff0c<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u2462<\/p>\n<p>\u6869\u4e0b\u964d\u7684\u8fc7\u7a0b\u4e2d\uff0c\u6839\u636e\u529f\u80fd\u5173\u7cfb\uff0c<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u2463<\/p>\n<p>\u7531\u2460\u3001\u2461\u3001\u2462\u3001\u2463\u5f0f\u5f97\u00a0\u00a0\u00a0\u00a0\u00a0\u2464<\/p>\n<p>\u4ee3\u5165\u6570\u503c\uff0c\u5f97 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0N \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u2465<\/p>\n<p><strong><b>\u6ce8\u610f\uff1a\u2460\u2461\u5f0f\u7531\u529b\u5f97\u89c2\u70b9\u5f97\u51fa\uff0c\u2462\u5f0f\u7531\u52a8\u91cf\u5f97\u89c2\u70b9\u5f97\u51fa\uff0c\u2463\u5f0f\u7531\u80fd\u91cf\u7684\u89c2\u70b9\u5f97\u51fa\u3002<\/b><\/strong><strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u9ad8\u4e2d\u7269\u7406\u89e3\u9898\u6280\u5de7 &nbsp; &nbsp; \u9ad8\u4e2d\u9636\u6bb5\uff0c\u6700\u96be\u5b66\u7684\u8bfe\u7a0b\u662f\u7269\u7406\uff0c\u65e2\u8981\u6c42\u5b66\u751f\u6709\u8fc7\u786c\u7684\u6570\u5b66\u529f\u5e95\uff0c\u8fd8\u8981\u5b66 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[136],"tags":[],"class_list":["post-11836","post","type-post","status-publish","format-standard","hentry","category-pgsx"],"_links":{"self":[{"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/posts\/11836","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=11836"}],"version-history":[{"count":0,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/posts\/11836\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11836"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11836"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11836"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}