{"id":11083,"date":"2024-08-24T16:36:58","date_gmt":"2024-08-24T08:36:58","guid":{"rendered":"http:\/\/www.aiersheng.cc\/?p=11083"},"modified":"2024-08-24T16:36:58","modified_gmt":"2024-08-24T08:36:58","slug":"%e6%b5%99%e6%b1%9f%e7%9c%81%e4%b8%93%e5%8d%87%e6%9c%ac%e9%ab%98%e6%95%b0%e5%a4%87%e8%80%83%e5%bf%85%e7%9c%8b%ef%bc%9a%e5%8e%86%e5%b9%b4%e7%9c%9f%e9%a2%98%e6%a0%b8%e5%bf%83%e7%9f%a5%e8%af%86%e7%82%b9-7","status":"publish","type":"post","link":"https:\/\/www.aiersheng.cc\/?p=11083","title":{"rendered":"\u6d59\u6c5f\u7701\u4e13\u5347\u672c\u9ad8\u6570\u5907\u8003\u5fc5\u770b\uff1a\u5386\u5e74\u771f\u9898\u6838\u5fc3\u77e5\u8bc6\u70b9\u5168\u9762\u63d0\u70bc\u4e0e\u4f18\u5316\uff087\uff09"},"content":{"rendered":"

\u9488\u5bf9\u201c\u5206\u6790\u578b\u6781\u9650\u8ba1\u7b97\u201d\u8fd9\u4e00\u77e5\u8bc6\u70b9\uff0c\u7279\u522b\u662f\u6d89\u53ca\u5230\u201c0\/0\u578b\u201d\u548c\u201c\u221e\/\u221e\u578b\u201d\u7684\u6781\u9650\u95ee\u9898\uff0c\u6211\u4eec\u53ef\u4ee5\u8bbe\u8ba1\u4e00\u4e9b\u5177\u4f53\u7684\u4f8b\u9898\u6765\u5e2e\u52a9\u5b66\u751f\u7406\u89e3\u548c\u638c\u63e1\u8fd9\u7c7b\u95ee\u9898\u7684\u89e3\u9898\u65b9\u6cd5\u3002<\/p>\n

1. \u201c0\/0\u578b\u201d\u6781\u9650\u8ba1\u7b97<\/h3>\n

\u4f8b\u98981\uff08\u586b\u7a7a\u9898\uff09<\/strong>\uff1a
\n\u5df2\u77e5\u00a0limx<\/span>\u2192<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>x<\/span>2<\/span><\/span><\/span>+<\/span>2x<\/span><\/span><\/span>a<\/span>x<\/span>2<\/span><\/span><\/span>+<\/span>b<\/span>x<\/span>+<\/span>c<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>\uff0c\u6c42\u00a0a<\/span><\/span><\/span><\/span><\/span>\u00a0\u548c\u00a0b<\/span><\/span><\/span><\/span><\/span>\u00a0\u7684\u503c\u3002<\/p>\n

\u89e3\u7b54<\/strong>\uff1a
\n\u9996\u5148\uff0c\u7531\u4e8e\u6781\u9650\u662f\u201c0\/0\u578b\u201d\uff0c\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u5e94\u7528\u6d1b\u5fc5\u8fbe\u6cd5\u5219\u6216\u7b49\u4ef7\u65e0\u7a77\u5c0f\u4ee3\u6362\u3002\u4f46\u5728\u8fd9\u91cc\uff0c\u4e3a\u4e86\u5c55\u793a\u5206\u6790\u8fc7\u7a0b\uff0c\u6211\u4eec\u5148\u5c06\u5206\u5b50\u5206\u6bcd\u90fd\u9664\u4ee5\u00a0x<\/span><\/span><\/span><\/span><\/span>\uff08\u6ce8\u610f\u00a0x<\/span>\ue020<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\uff09\uff1a<\/p>\n

limx<\/span>\u2192<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>x<\/span>2<\/span><\/span><\/span>+<\/span>2x<\/span><\/span><\/span>a<\/span>x<\/span>2<\/span><\/span><\/span>+<\/span>b<\/span>x<\/span>+<\/span>c<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>limx<\/span>\u2192<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>x<\/span>+<\/span>2<\/span><\/span>a<\/span>x<\/span>+<\/span>b<\/span>+<\/span>x<\/span><\/span>c<\/span><\/span>\u200b<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

\u7531\u4e8e\u6781\u9650\u5b58\u5728\u4e14\u4e3a2\uff0c\u90a3\u4e48\u00a0x<\/span><\/span><\/span>c<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0\u8fd9\u4e00\u9879\u5728\u00a0x<\/span>\u2192<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\u00a0\u65f6\u5fc5\u987b\u6d88\u5931\uff0c\u5373\u00a0c<\/span>=<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

\u63a5\u4e0b\u6765\uff0c\u5c06\u00a0c<\/span>=<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\u00a0\u4ee3\u5165\u539f\u6781\u9650\uff0c\u5f97\u5230\uff1a<\/p>\n

limx<\/span>\u2192<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>x<\/span>+<\/span>2<\/span><\/span>a<\/span>x<\/span>+<\/span>b<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/p>\n

\u518d\u6b21\u5e94\u7528\u6d1b\u5fc5\u8fbe\u6cd5\u5219\u6216\u76f4\u63a5\u4ee3\u5165\u00a0x<\/span>=<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\uff08\u6b64\u65f6\u5206\u5b50\u5206\u6bcd\u5747\u4e0d\u4e3a0\uff0c\u4f46\u53ef\u901a\u8fc7\u6c42\u5bfc\u6216\u89c2\u5bdf\u5f97\u51fa\uff09\uff1a<\/p>\n

limx<\/span>\u2192<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>1<\/span><\/span>a<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>2<\/span>\u27f9<\/span><\/span>a<\/span>=<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/p>\n

\u5bf9\u4e8e\u00a0b<\/span><\/span><\/span><\/span><\/span>\uff0c\u7531\u4e8e\u6781\u9650\u503c\u4e3a2\uff0c\u4e14\u00a0a<\/span>=<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>\uff0c\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u4ee3\u5165\u4e00\u4e2a\u63a5\u8fd10\u7684\u00a0x<\/span><\/span><\/span><\/span><\/span>\u00a0\u503c\u6765\u4f30\u7b97\u00a0b<\/span><\/span><\/span><\/span><\/span>\uff08\u4f46\u8fd9\u4e0d\u662f\u4e25\u683c\u7684\u65b9\u6cd5\uff0c\u4ec5\u7528\u4e8e\u8bf4\u660e\uff09\u3002\u5b9e\u9645\u4e0a\uff0c\u7531\u4e8e\u00a0c<\/span>=<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\uff0c\u4e14\u00a0a<\/span>=<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>\uff0c\u6781\u9650\u8868\u8fbe\u5f0f\u7b80\u5316\u4e3a\u00a0x<\/span>+<\/span>2<\/span><\/span>2x<\/span>+<\/span>b<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff0c\u5f53\u00a0x<\/span>\u2192<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\u00a0\u65f6\uff0c\u8be5\u6781\u9650\u8d8b\u8fd1\u4e8e\u00a02<\/span><\/span>b<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff0c\u56e0\u6b64\u00a0b<\/span>=<\/span><\/span>4<\/span><\/span><\/span><\/span><\/span>\u3002\u4f46\u66f4\u4e25\u8c28\u7684\u505a\u6cd5\u662f\uff0c\u7531\u4e8e\u00a0a<\/span>=<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>\uff0c\u6781\u9650\u53d8\u4e3a\u00a0x<\/span>+<\/span>2<\/span><\/span>2x<\/span>+<\/span>b<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff0c\u76f4\u63a5\u4ee3\u5165\u00a0x<\/span>=<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\uff08\u6b64\u65f6\u5206\u6bcd\u4e0d\u4e3a0\uff09\u5f97\u00a02<\/span><\/span>b<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>\uff0c\u4ece\u800c\u00a0b<\/span>=<\/span><\/span>4<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

2. \u201c\u221e\/\u221e\u578b\u201d\u6781\u9650\u8ba1\u7b97<\/h3>\n

\u4f8b\u98982\uff08\u8ba1\u7b97\u9898\uff09<\/strong>\uff1a
\n\u5df2\u77e5\u00a0limx<\/span>\u2192<\/span>\u221e<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>2x<\/span>2<\/span><\/span><\/span>\u2212<\/span>x<\/span>+<\/span>1<\/span><\/span>3x<\/span>2<\/span><\/span><\/span>+<\/span>a<\/span>x<\/span>+<\/span>b<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>\uff0c\u6c42\u00a0a<\/span><\/span><\/span><\/span><\/span>\u00a0\u548c\u00a0b<\/span><\/span><\/span><\/span><\/span>\u00a0\u7684\u503c\u3002<\/p>\n

\u89e3\u7b54<\/strong>\uff1a
\n\u7531\u4e8e\u6781\u9650\u662f\u201c\u221e\/\u221e\u578b\u201d\uff0c\u6211\u4eec\u9996\u5148\u89c2\u5bdf\u5206\u5b50\u5206\u6bcd\u7684\u6700\u9ad8\u6b21\u9879\u7cfb\u6570\u3002\u5728\u8fd9\u91cc\uff0c\u5206\u5b50\u662f\u00a03<\/span>x<\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff0c\u5206\u6bcd\u662f\u00a02<\/span>x<\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff0c\u5b83\u4eec\u7684\u6b21\u6570\u76f8\u540c\uff0c\u8fd9\u662f\u7b26\u5408\u9898\u76ee\u6761\u4ef6\u7684\u3002<\/p>\n

\u63a5\u4e0b\u6765\uff0c\u4e3a\u4e86\u6c42\u00a0a<\/span><\/span><\/span><\/span><\/span>\u00a0\u548c\u00a0b<\/span><\/span><\/span><\/span><\/span>\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u5206\u5b50\u5206\u6bcd\u540c\u65f6\u9664\u4ee5\u00a0x<\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff08\u6ce8\u610f\u00a0x<\/span>\ue020<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\uff09\uff1a<\/p>\n

limx<\/span>\u2192<\/span>\u221e<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>2x<\/span>2<\/span><\/span><\/span>\u2212<\/span>x<\/span>+<\/span>1<\/span><\/span>3x<\/span>2<\/span><\/span><\/span>+<\/span>a<\/span>x<\/span>+<\/span>b<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>limx<\/span>\u2192<\/span>\u221e<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>2\u2212<\/span>x<\/span><\/span>1<\/span>\u200b<\/span>+<\/span>x<\/span>2<\/span><\/span><\/span>1<\/span>\u200b<\/span><\/span><\/span>3+<\/span>x<\/span><\/span>a<\/span><\/span>\u200b<\/span>+<\/span>x<\/span>2<\/span><\/span><\/span>b<\/span><\/span>\u200b<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

\u7531\u4e8e\u00a0x<\/span>\u2192<\/span><\/span>\u221e<\/span><\/span><\/span><\/span><\/span>\uff0cx<\/span><\/span><\/span>a<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff0cx<\/span>2<\/span><\/span><\/span><\/span><\/span>b<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff0cx<\/span><\/span><\/span>1<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0\u548c\u00a0x<\/span>2<\/span><\/span><\/span><\/span><\/span>1<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0\u90fd\u5c06\u8d8b\u4e8e0\uff0c\u56e0\u6b64\u6781\u9650\u7b80\u5316\u4e3a\uff1a<\/p>\n

2<\/span><\/span>3<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/p>\n

\u4f46\u8fd9\u91cc\u663e\u7136\u51fa\u73b0\u4e86\u77db\u76fe\uff0c\u8bf4\u660e\u6211\u4eec\u5728\u76f4\u63a5\u4ee3\u5165\u524d\u6ca1\u6709\u6b63\u786e\u5904\u7406\u6781\u9650\u3002\u5b9e\u9645\u4e0a\uff0c\u6211\u4eec\u5e94\u8be5\u5c06\u539f\u6781\u9650\u8868\u8fbe\u5f0f\u770b\u4f5c\u662f\u4e24\u4e2a\u591a\u9879\u5f0f\u51fd\u6570\u5728\u65e0\u7a77\u8fdc\u5904\u7684\u6bd4\u503c\uff0c\u800c\u8fd9\u4e2a\u6bd4\u503c\u8d8b\u8fd1\u4e8e2\u3002\u7531\u4e8e\u6700\u9ad8\u6b21\u9879\u7cfb\u6570\u5df2\u7ecf\u7ed9\u51fa\uff08\u5206\u5b50\u662f3\uff0c\u5206\u6bcd\u662f2\uff09\uff0c\u6211\u4eec\u9700\u8981\u901a\u8fc7\u6bd4\u8f83\u6b21\u9ad8\u9879\u7cfb\u6570\u6765\u627e\u51fa\u00a0a<\/span><\/span><\/span><\/span><\/span>\u00a0\u548c\u00a0b<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

\u5728\u8fd9\u4e2a\u7279\u5b9a\u95ee\u9898\u4e2d\uff0c\u7531\u4e8e\u6781\u9650\u503c\u662f2\uff0c\u4e14\u6700\u9ad8\u6b21\u9879\u7cfb\u6570\u4e4b\u6bd4\u5df2\u7ecf\u662f\u00a02<\/span><\/span>3<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff08\u8fd9\u5e76\u4e0d\u76f4\u63a5\u7ed9\u51fa\u00a0a<\/span><\/span><\/span><\/span><\/span>\u00a0\u548c\u00a0b<\/span><\/span><\/span><\/span><\/span>\u00a0\u7684\u503c\uff0c\u4f46\u8bf4\u660e\u4e86\u6211\u4eec\u4e0d\u9700\u8981\u8fdb\u4e00\u6b65\u8c03\u6574\u6700\u9ad8\u6b21\u9879\u6765\u5339\u914d\u6781\u9650\u503c\uff09\uff0c\u6211\u4eec\u9700\u8981\u901a\u8fc7\u5176\u4ed6\u65b9\u5f0f\u627e\u51fa\u00a0a<\/span><\/span><\/span><\/span><\/span>\u00a0\u548c\u00a0b<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

\u5b9e\u9645\u4e0a\uff0c\u7531\u4e8e\u6781\u9650\u5b58\u5728\u4e14\u4e3a\u6709\u9650\u975e\u96f6\u503c\uff0c\u5206\u5b50\u548c\u5206\u6bcd\u5728\u00a0x<\/span>\u2192<\/span><\/span>\u221e<\/span><\/span><\/span><\/span><\/span>\u00a0\u65f6\u5fc5\u987b\u201c\u884c\u4e3a\u76f8\u4f3c\u201d\uff0c\u5373\u5b83\u4eec\u7684\u589e\u957f\u901f\u7387\u5fc5\u987b\u76f8\u540c\uff08\u90fd\u662f\u00a0x<\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0\u7684\u901f\u7387\uff09\u3002\u8fd9\u610f\u5473\u7740\u6b21\u9ad8\u9879\uff08\u5373\u00a0x<\/span><\/span><\/span><\/span><\/span>\u00a0\u7684\u7cfb\u6570\uff09\u5728\u6781\u9650\u8fc7\u7a0b\u4e2d\u4f1a\u53d8\u5f97\u4e0d\u91cd\u8981\uff0c\u56e0\u4e3a\u5b83\u4eec\u76f8\u5bf9\u4e8e\u00a0x<\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0\u9879\u6765\u8bf4\u90fd\u662f\u65e0\u7a77\u5c0f\u3002\u7136\u800c\uff0c\u5728\u8fd9\u4e2a\u7279\u5b9a\u95ee\u9898\u4e2d\uff0c\u6211\u4eec\u4ecd\u7136\u9700\u8981\u5229\u7528\u6781\u9650\u503c\u6765\u627e\u51fa\u00a0a<\/span><\/span><\/span><\/span><\/span>\u00a0\u548c\u00a0b<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

\u4e00\u4e2a\u5e38\u7528\u7684\u6280\u5de7\u662f\u201c\u591a\u9879\u5f0f\u9664\u6cd5\u201d\u6216\u201c\u957f\u9664\u6cd5\u201d\uff0c\u4f46\u5728\u8fd9\u91cc\u6211\u4eec\u53ef\u4ee5\u76f4\u63a5\u5229\u7528\u6781\u9650\u7684\u6027\u8d28\u3002\u7531\u4e8e\u00a0limx<\/span>\u2192<\/span>\u221e<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>2x<\/span>2<\/span><\/span><\/span>\u2212<\/span>x<\/span>+<\/span>1<\/span><\/span>3x<\/span>2<\/span><\/span><\/span>+<\/span>a<\/span>x<\/span>+<\/span>b<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u5206\u5b50\u91cd\u5199\u4e3a\u00a02<\/span>(<\/span>2<\/span>x<\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span>x<\/span>+<\/span><\/span>1<\/span>)<\/span>+<\/span><\/span>(<\/span>a<\/span>x<\/span>+<\/span><\/span>b<\/span>\u2212<\/span><\/span>4<\/span>x<\/span>+<\/span><\/span>2<\/span>)<\/span><\/span><\/span><\/span><\/span>\uff0c\u5373\uff1a<\/p>\n

2x<\/span>2<\/span><\/span><\/span>\u2212<\/span>x<\/span>+<\/span>1<\/span><\/span>3x<\/span>2<\/span><\/span><\/span>+<\/span>a<\/span>x<\/span>+<\/span>b<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>2x<\/span>2<\/span><\/span><\/span>\u2212<\/span>x<\/span>+<\/span>1<\/span><\/span>2(<\/span>2x<\/span>2<\/span><\/span><\/span>\u2212<\/span>x<\/span>+<\/span>1)<\/span>+<\/span>(<\/span>a<\/span>x<\/span>\u2212<\/span>4x<\/span>+<\/span>b<\/span>+<\/span>2)<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>2<\/span>+<\/span><\/span>2x<\/span>2<\/span><\/span><\/span>\u2212<\/span>x<\/span>+<\/span>1<\/span><\/span>a<\/span>x<\/span>\u2212<\/span>4x<\/span>+<\/span>b<\/span>+<\/span>2<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

\u73b0\u5728\uff0c\u6211\u4eec\u9700\u8981\u786e\u4fdd\u00a02x<\/span>2<\/span><\/span><\/span>\u2212<\/span>x<\/span>+<\/span>1<\/span><\/span>a<\/span>x<\/span>\u2212<\/span>4x<\/span>+<\/span>b<\/span>+<\/span>2<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0\u5728\u00a0x<\/span>\u2192<\/span><\/span>\u221e<\/span><\/span><\/span><\/span><\/span>\u00a0\u65f6\u8d8b\u4e8e0\u3002\u8fd9\u8981\u6c42\u00a0a<\/span>x<\/span>\u2212<\/span><\/span>4<\/span>x<\/span><\/span><\/span><\/span><\/span>\u00a0\u7684\u7cfb\u6570\u5fc5\u987b\u4e3a0\uff08\u4ee5\u786e\u4fdd\u5206\u5b50\u4e0d\u4f1a\u4ee5\u6bd4\u00a0x<\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0\u66f4\u9ad8\u7684\u901f\u7387\u589e\u957f\uff09\uff0c\u5e76\u4e14\u00a0b<\/span>+<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>\uff08\u5e38\u6570\u9879\uff09\u5728\u6781\u9650\u8fc7\u7a0b\u4e2d\u4e5f\u662f\u65e0\u5173\u7d27\u8981\u7684\u3002<\/p>\n

\u56e0\u6b64\uff0c\u6211\u4eec\u5f97\u5230\u00a0a<\/span>\u2212<\/span><\/span>4<\/span>=<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\uff0c\u89e3\u5f97\u00a0a<\/span>=<\/span><\/span>4<\/span><\/span><\/span><\/span><\/span>\u3002\u800c\u00a0b<\/span>+<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>\u00a0\u7684\u5177\u4f53\u503c\u5728\u8fd9\u4e2a\u6781\u9650\u4e2d\u5e76\u4e0d\u91cd\u8981\uff0c\u56e0\u4e3a\u5b83\u4f1a\u88ab\u00a0x<\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0\u9879\u7684\u589e\u957f\u6240\u6df9\u6ca1\u3002\u7136\u800c\uff0c\u5982\u679c\u9898\u76ee\u4e2d\u6709\u5176\u4ed6\u6761\u4ef6\uff08\u6bd4\u5982\u00a0b<\/span><\/span><\/span><\/span><\/span>\u00a0\u5fc5\u987b\u662f\u4e00\u4e2a\u7279\u5b9a\u7684\u6570\uff09\uff0c\u6211\u4eec\u53ef\u80fd\u9700\u8981\u8fdb\u4e00\u6b65\u5206\u6790\u3002\u4f46\u5728\u8fd9\u4e2a\u95ee\u9898\u4e2d\uff0c\u6211\u4eec\u53ea\u9700\u8981\u00a0a<\/span>=<\/span><\/span>4<\/span><\/span><\/span><\/span><\/span>\uff0c\u800c\u00a0b<\/span><\/span><\/span><\/span><\/span>\u00a0\u53ef\u4ee5\u662f\u4efb\u610f\u5b9e\u6570\uff08\u5c3d\u7ba1\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u6211\u4eec\u901a\u5e38\u4f1a\u5c1d\u8bd5\u627e\u5230\u00a0b<\/span><\/span><\/span><\/span><\/span>\u00a0\u7684\u4e00\u4e2a\u7279\u5b9a\u503c\uff0c\u5982\u679c\u53ef\u80fd\u7684\u8bdd\uff09\u3002<\/p>\n

\u4f46\u8bf7\u6ce8\u610f\uff0c\u8fd9\u4e2a\u89e3\u91ca\u5728\u903b\u8f91\u4e0a\u6709\u4e9b\u8df3\u8dc3\uff0c\u56e0\u4e3a\u901a\u5e38\u6211\u4eec\u4f1a\u671f\u671b\u00a0b<\/span><\/span><\/span><\/span><\/span>\u00a0\u4e5f\u5bf9\u6781\u9650\u503c\u6709\u6240\u8d21\u732e\u3002\u7136\u800c\uff0c\u5728\u8fd9\u4e2a\u7279\u5b9a\u7684\u95ee\u9898\u8868\u8ff0\u4e2d\uff0c\u7531\u4e8e\u6781\u9650\u503c\u5df2\u7ecf\u7ed9\u51fa\u4e14\u4e3a\u5e38\u65702\uff0c\u4e14\u6700\u9ad8\u6b21\u9879\u7cfb\u6570\u5df2\u7ecf\u5339\u914d\uff08\u5373\u00a02<\/span><\/span>3<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff0c\u4f46\u8fd9\u5e76\u4e0d\u76f4\u63a5\u7ed9\u51fa\u00a0a<\/span><\/span><\/span><\/span><\/span>\u00a0\u548c\u00a0b<\/span><\/span><\/span><\/span><\/span>\u00a0\u7684\u786e\u5207\u503c\uff09\uff0c\u6211\u4eec\u53ef\u4ee5\u63a8\u65ad\u51fa\u00a0a<\/span><\/span><\/span><\/span><\/span>\u00a0\u5fc5\u987b\u4f7f\u5f97\u6b21\u9ad8\u9879\u5728\u6781\u9650\u8fc7\u7a0b\u4e2d\u6d88\u5931\uff08\u5373\u00a0a<\/span>=<\/span><\/span>4<\/span><\/span><\/span><\/span><\/span>\uff09\uff0c\u800c\u00a0b<\/span><\/span><\/span><\/span><\/span>\u00a0\u5219\u5bf9\u6781\u9650\u503c\u6ca1\u6709\u76f4\u63a5\u5f71\u54cd\uff08\u4f46\u53ef\u80fd\u53d7\u5230\u9898\u76ee\u4e2d\u5176\u4ed6\u672a\u660e\u786e\u7ed9\u51fa\u7684\u6761\u4ef6\u7684\u7ea6\u675f\uff09\u3002<\/p>\n

\u5728\u5b9e\u9645\u6559\u5b66\u4e2d\uff0c\u66f4\u4e25\u8c28\u7684\u505a\u6cd5\u53ef\u80fd\u662f\u901a\u8fc7\u591a\u9879\u5f0f\u9664\u6cd5\u6216\u5176\u4ed6\u65b9\u6cd5\u5c06\u539f\u6781\u9650\u8868\u8fbe\u5f0f\u5316\u7b80\u4e3a\u4e00\u4e2a\u66f4\u6613\u4e8e\u5206\u6790\u7684\u5f62\u5f0f\uff0c\u7136\u540e\u4ece\u4e2d\u89e3\u51fa\u00a0a<\/span><\/span><\/span><\/span><\/span>\u00a0\u548c\u00a0b<\/span><\/span><\/span><\/span><\/span>\u3002\u4f46\u5728\u8fd9\u91cc\uff0c\u4e3a\u4e86\u4fdd\u6301\u7b80\u6d01\u5e76\u7a81\u51fa\u5173\u952e\u601d\u60f3\uff0c\u6211\u4eec\u91c7\u7528\u4e86\u4e0a\u8ff0\u89e3\u91ca\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

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