{"id":11095,"date":"2024-08-24T16:46:42","date_gmt":"2024-08-24T08:46:42","guid":{"rendered":"http:\/\/www.aiersheng.cc\/?p=11095"},"modified":"2024-08-24T16:46:42","modified_gmt":"2024-08-24T08:46:42","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%86-11","status":"publish","type":"post","link":"https:\/\/www.aiersheng.cc\/?p=11095","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\uff0811\uff09"},"content":{"rendered":"

\u65e0\u7a77\u5c0f\u91cf\u6bd4\u8f83\u662f\u9ad8\u7b49\u6570\u5b66\u4e2d\u7684\u4e00\u4e2a\u91cd\u8981\u6982\u5ff5\uff0c\u5b83\u6d89\u53ca\u5230\u51fd\u6570\u5728\u6781\u9650\u8fc7\u7a0b\u4e2d\u8d8b\u5411\u4e8e0\u7684\u901f\u5ea6\u5feb\u6162\u3002\u5728\u89e3\u9898\u65f6\uff0c\u6211\u4eec\u9700\u8981\u660e\u786e\u4e09\u79cd\u4e0d\u540c\u7684\u65e0\u7a77\u5c0f\u91cf\u5173\u7cfb\uff1a\u9ad8\u9636\u65e0\u7a77\u5c0f\u3001\u4f4e\u9636\u65e0\u7a77\u5c0f\u548c\u540c\u9636\u65e0\u7a77\u5c0f\uff08\u5305\u62ec\u7b49\u4ef7\u65e0\u7a77\u5c0f\uff09\u3002\u4e0b\u9762\u6211\u5c06\u8be6\u7ec6\u89e3\u91ca\u8fd9\u4e9b\u6982\u5ff5\uff0c\u5e76\u7ed9\u51fa\u4e00\u4e9b\u89e3\u9898\u6280\u5de7\u548c\u6ce8\u610f\u4e8b\u9879\u3002<\/p>\n

1. \u9ad8\u9636\u65e0\u7a77\u5c0f<\/h3>\n

\u5b9a\u4e49<\/strong>\uff1a\u82e5\u00a0limx<\/span>\u2192<\/span>a<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>g<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span>f<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\uff0c\u5219\u79f0\u00a0f<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u00a0\u662f\u00a0g<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u00a0\u7684\u9ad8\u9636\u65e0\u7a77\u5c0f\uff0c\u8bb0\u4f5c\u00a0f<\/span>(<\/span>x<\/span>)<\/span>=<\/span><\/span>o<\/span>(<\/span>g<\/span>(<\/span>x<\/span>))<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

\u89e3\u91ca<\/strong>\uff1a\u8fd9\u610f\u5473\u7740\u5f53\u00a0x<\/span><\/span><\/span><\/span><\/span>\u00a0\u8d8b\u8fd1\u4e8e\u00a0a<\/span><\/span><\/span><\/span><\/span>\u00a0\u65f6\uff0cf<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u00a0\u8d8b\u5411\u4e8e0\u7684\u901f\u5ea6\u6bd4\u00a0g<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u00a0\u5feb\u5f97\u591a\uff0c\u4ee5\u81f3\u4e8e\u5b83\u4eec\u7684\u6bd4\u503c\u8d8b\u5411\u4e8e0\u3002<\/p>\n

2. \u4f4e\u9636\u65e0\u7a77\u5c0f<\/h3>\n

\u5b9a\u4e49<\/strong>\uff1a\u82e5\u00a0limx<\/span>\u2192<\/span>a<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>g<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span>f<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>\u221e<\/span><\/span><\/span><\/span><\/span>\uff0c\u5219\u79f0\u00a0f<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u00a0\u662f\u00a0g<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u00a0\u7684\u4f4e\u9636\u65e0\u7a77\u5c0f\u3002<\/p>\n

\u89e3\u91ca<\/strong>\uff1a\u8fd9\u8868\u793a\u5f53\u00a0x<\/span><\/span><\/span><\/span><\/span>\u00a0\u8d8b\u8fd1\u4e8e\u00a0a<\/span><\/span><\/span><\/span><\/span>\u00a0\u65f6\uff0cf<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u00a0\u8d8b\u5411\u4e8e0\u7684\u901f\u5ea6\u8fdc\u6162\u4e8e\u00a0g<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\uff0c\u5bfc\u81f4\u5b83\u4eec\u7684\u6bd4\u503c\u8d8b\u5411\u4e8e\u65e0\u7a77\u5927\u3002<\/p>\n

3. \u540c\u9636\u65e0\u7a77\u5c0f<\/h3>\n

\u5b9a\u4e49<\/strong>\uff1a\u82e5\u00a0limx<\/span>\u2192<\/span>a<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>g<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span>f<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>C<\/span><\/span><\/span><\/span><\/span>\uff0c\u5176\u4e2d\u00a0C<\/span><\/span><\/span><\/span><\/span>\u00a0\u662f\u975e\u96f6\u5e38\u6570\uff0c\u5219\u79f0\u00a0f<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u00a0\u548c\u00a0g<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u00a0\u662f\u540c\u9636\u65e0\u7a77\u5c0f\u3002\u7279\u522b\u5730\uff0c\u5f53\u00a0C<\/span>=<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\u00a0\u65f6\uff0c\u79f0\u00a0f<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u00a0\u548c\u00a0g<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u00a0\u7b49\u4ef7\uff0c\u8bb0\u4f5c\u00a0f<\/span>(<\/span>x<\/span>)<\/span>\u223c<\/span><\/span>g<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

\u89e3\u91ca<\/strong>\uff1a\u8fd9\u8868\u793a\u00a0f<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u00a0\u548c\u00a0g<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u00a0\u5728\u00a0x<\/span><\/span><\/span><\/span><\/span>\u00a0\u8d8b\u8fd1\u4e8e\u00a0a<\/span><\/span><\/span><\/span><\/span>\u00a0\u65f6\u8d8b\u5411\u4e8e0\u7684\u901f\u5ea6\u662f\u201c\u76f8\u5f53\u201d\u7684\uff0c\u5373\u5b83\u4eec\u7684\u6bd4\u503c\u8d8b\u5411\u4e8e\u4e00\u4e2a\u975e\u96f6\u5e38\u6570\u3002<\/p>\n

\u89e3\u9898\u6280\u5de7\u548c\u6ce8\u610f\u4e8b\u9879<\/h3>\n
    \n
  1. \n

    \u660e\u786e\u6781\u9650\u8fc7\u7a0b<\/strong>\uff1a\u9996\u5148\u786e\u5b9a\u00a0x<\/span><\/span><\/span><\/span><\/span>\u00a0\u662f\u5982\u4f55\u8d8b\u8fd1\u4e8e\u00a0a<\/span><\/span><\/span><\/span><\/span>\u00a0\u7684\uff08\u5982\u00a0x<\/span>\u2192<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\uff0cx<\/span>\u2192<\/span><\/span>+<\/span>\u221e<\/span><\/span><\/span><\/span><\/span>\u00a0\u7b49\uff09\u3002<\/p>\n<\/li>\n

  2. \n

    \u5316\u7b80\u8868\u8fbe\u5f0f<\/strong>\uff1a\u5728\u53ef\u80fd\u7684\u60c5\u51b5\u4e0b\uff0c\u901a\u8fc7\u4ee3\u6570\u53d8\u6362\u3001\u4e09\u89d2\u6052\u7b49\u5f0f\u3001\u6d1b\u5fc5\u8fbe\u6cd5\u5219\u7b49\u65b9\u6cd5\u5316\u7b80\u00a0g<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span>f<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<\/li>\n

  3. \n

    \u8bc6\u522b\u7b49\u4ef7\u65e0\u7a77\u5c0f<\/strong>\uff1a\u719f\u6089\u5e38\u89c1\u7684\u7b49\u4ef7\u65e0\u7a77\u5c0f\u66ff\u6362\uff0c\u5982\u00a0sin<\/span>x<\/span>\u223c<\/span><\/span>x<\/span><\/span><\/span><\/span><\/span>\uff08\u5f53\u00a0x<\/span>\u2192<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\uff09\u7b49\uff0c\u8fd9\u53ef\u4ee5\u5927\u5927\u7b80\u5316\u8ba1\u7b97\u3002<\/p>\n<\/li>\n

  4. \n

    \u6ce8\u610f\u65e0\u7a77\u5c0f\u91cf\u7684\u4e0d\u53ef\u6bd4\u6027<\/strong>\uff1a\u4e0d\u662f\u6240\u6709\u7684\u65e0\u7a77\u5c0f\u91cf\u90fd\u53ef\u4ee5\u76f8\u4e92\u6bd4\u8f83\u3002\u4f8b\u5982\uff0c\u5f53\u00a0x<\/span>\u2192<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\u00a0\u65f6\uff0cx<\/span>sin<\/span>x<\/span><\/span><\/span>1<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0\u548c\u00a0x<\/span><\/span><\/span><\/span><\/span>\u00a0\u90fd\u662f\u65e0\u7a77\u5c0f\u91cf\uff0c\u4f46\u5b83\u4eec\u7684\u6bd4\u503c\u6781\u9650\u4e0d\u5b58\u5728\u3002<\/p>\n<\/li>\n

  5. \n

    \u907f\u514d\u9519\u8bef\u5e94\u7528\u7b49\u4ef7\u65e0\u7a77\u5c0f\u66ff\u6362<\/strong>\uff1a\u7b49\u4ef7\u65e0\u7a77\u5c0f\u66ff\u6362\u53ea\u80fd\u7528\u4e8e\u5355\u72ec\u7684\u4e58\u9664\u8fd0\u7b97\u4e2d\uff0c\u4e0d\u80fd\u7528\u4e8e\u52a0\u51cf\u8fd0\u7b97\u6216\u590d\u5408\u51fd\u6570\u4e2d\u3002<\/p>\n<\/li>\n

  6. \n

    \u5229\u7528\u6cf0\u52d2\u5c55\u5f00<\/strong>\uff1a\u5bf9\u4e8e\u590d\u6742\u7684\u51fd\u6570\uff0c\u53ef\u4ee5\u8003\u8651\u4f7f\u7528\u6cf0\u52d2\u5c55\u5f00\u5f0f\u6765\u8fd1\u4f3c\u51fd\u6570\uff0c\u4ece\u800c\u66f4\u5bb9\u6613\u5730\u6bd4\u8f83\u65e0\u7a77\u5c0f\u91cf\u3002<\/p>\n<\/li>\n<\/ol>\n

    \u793a\u4f8b<\/h3>\n

    \u4f8b<\/strong>\uff1a\u5224\u65ad\u00a0sin<\/span>x<\/span><\/span><\/span><\/span><\/span>\u00a0\u548c\u00a0x<\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0\u5f53\u00a0x<\/span>\u2192<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\u00a0\u65f6\u7684\u65e0\u7a77\u5c0f\u91cf\u5173\u7cfb\u3002<\/p>\n

    \u89e3<\/strong>\uff1a\u8ba1\u7b97\u00a0limx<\/span>\u2192<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>x<\/span>2<\/span><\/span><\/span><\/span><\/span>s<\/span>i<\/span>n<\/span><\/span>x<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002\u7531\u4e8e\u00a0sin<\/span>x<\/span>\u223c<\/span><\/span>x<\/span><\/span><\/span><\/span><\/span>\uff08\u5f53\u00a0x<\/span>\u2192<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\uff09\uff0c\u6240\u4ee5\u00a0limx<\/span>\u2192<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>x<\/span>2<\/span><\/span><\/span><\/span><\/span>s<\/span>i<\/span>n<\/span><\/span>x<\/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>2<\/span><\/span><\/span><\/span><\/span>x<\/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><\/span>1<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>\u221e<\/span><\/span><\/span><\/span><\/span>\u3002\u56e0\u6b64\uff0csin<\/span>x<\/span><\/span><\/span><\/span><\/span>\u00a0\u662f\u00a0x<\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0\u7684\u4f4e\u9636\u65e0\u7a77\u5c0f\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

    \u65e0\u7a77\u5c0f\u91cf\u6bd4\u8f83\u662f\u9ad8\u7b49\u6570\u5b66\u4e2d\u7684\u4e00\u4e2a\u91cd\u8981\u6982\u5ff5\uff0c\u5b83\u6d89\u53ca\u5230\u51fd\u6570\u5728\u6781\u9650\u8fc7\u7a0b\u4e2d\u8d8b\u5411\u4e8e0\u7684\u901f\u5ea6\u5feb\u6162\u3002\u5728\u89e3\u9898\u65f6\uff0c\u6211\u4eec\u9700\u8981\u660e\u786e\u4e09\u79cd […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[124],"tags":[],"class_list":["post-11095","post","type-post","status-publish","format-standard","hentry","category-zsb"],"_links":{"self":[{"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/posts\/11095","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=11095"}],"version-history":[{"count":0,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/posts\/11095\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11095"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11095"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11095"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}