{"id":11073,"date":"2024-08-24T16:28:45","date_gmt":"2024-08-24T08:28:45","guid":{"rendered":"http:\/\/www.aiersheng.cc\/?p=11073"},"modified":"2024-08-24T16:28:45","modified_gmt":"2024-08-24T08:28:45","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%b9-4","status":"publish","type":"post","link":"https:\/\/www.aiersheng.cc\/?p=11073","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\uff084\uff09"},"content":{"rendered":"

\u9488\u5bf9\u201c\u6781\u9650\u6982\u5ff5\u3001\u6027\u8d28\u53ca\u8fd0\u7b97\u6cd5\u5219\u201d\u8fd9\u4e00\u77e5\u8bc6\u70b9\uff0c\u6211\u4eec\u53ef\u4ee5\u8bbe\u8ba1\u4e00\u4e9b\u5177\u4f53\u7684\u4f8b\u9898\u6765\u5e2e\u52a9\u5b66\u751f\u66f4\u597d\u5730\u7406\u89e3\u548c\u638c\u63e1\u3002\u4ee5\u4e0b\u662f\u6839\u636e\u60a8\u63d0\u4f9b\u7684\u4fe1\u606f\u8bbe\u8ba1\u7684\u4f8b\u9898\uff1a<\/p>\n

\u6781\u9650\u6982\u5ff5<\/h3>\n

\u4f8b\u98981\uff08\u9009\u62e9\u9898\uff09<\/strong>\uff1a
\n\u8bbe\u51fd\u6570f<\/span>(<\/span>x<\/span>)<\/span>=<\/span><\/span>x<\/span>\u2212<\/span>1<\/span><\/span>x<\/span>2<\/span><\/span><\/span>\u2212<\/span>1<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff0c\u5219limx<\/span>\u2192<\/span>1<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>f<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u00a0\u7b49\u4e8e\uff08 \uff09
\nA. 0
\nB. 1
\nC. 2
\nD. \u4e0d\u5b58\u5728<\/p>\n

\u89e3\u7b54<\/strong>\uff1a
\n\u9996\u5148\uff0c\u5c06\u51fd\u6570f<\/span>(<\/span>x<\/span>)<\/span>=<\/span><\/span>x<\/span>\u2212<\/span>1<\/span><\/span>x<\/span>2<\/span><\/span><\/span>\u2212<\/span>1<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3\uff0c\u5f97\u5230f<\/span>(<\/span>x<\/span>)<\/span>=<\/span><\/span>x<\/span>\u2212<\/span>1<\/span><\/span>(<\/span>x<\/span>+<\/span>1)<\/span>(<\/span>x<\/span>\u2212<\/span>1)<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002
\n\u5f53x<\/span>\ue020<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\u65f6\uff0c\u53ef\u4ee5\u7ea6\u53bb\u5206\u5b50\u5206\u6bcd\u7684x<\/span>\u2212<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\uff0c\u5f97\u5230f<\/span>(<\/span>x<\/span>)<\/span>=<\/span><\/span>x<\/span>+<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\u3002
\n\u56e0\u6b64\uff0climx<\/span>\u2192<\/span>1<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>f<\/span>(<\/span>x<\/span>)<\/span>=<\/span><\/span>limx<\/span>\u2192<\/span>1<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>(<\/span>x<\/span>+<\/span><\/span>1<\/span>)<\/span>=<\/span><\/span>1<\/span>+<\/span><\/span>1<\/span>=<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span>\u3002
\n\u6545\u9009C\u3002<\/p>\n

\u6781\u9650\u6027\u8d28<\/h3>\n

\u4f8b\u98982\uff08\u586b\u7a7a\u9898\uff09<\/strong>\uff1a
\n\u82e5\u51fd\u6570f<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u5728x<\/span>=<\/span><\/span>a<\/span><\/span><\/span><\/span><\/span>\u5904\u5b58\u5728\u6781\u9650\uff0c\u4e14limx<\/span>\u2192<\/span>a<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>f<\/span>(<\/span>x<\/span>)<\/span>=<\/span><\/span>L<\/span><\/span><\/span><\/span><\/span>\uff0c\u5219\u51fd\u6570f<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u5728x<\/span>=<\/span><\/span>a<\/span><\/span><\/span><\/span><\/span>\u7684\u67d0\u4e2a\u90bb\u57df\u5185\uff08 \uff09\u3002
\nA. \u4e00\u5b9a\u6709\u754c
\nB. \u4e00\u5b9a\u65e0\u754c
\nC. \u4e00\u5b9a\u8fde\u7eed
\nD. \u6781\u9650\u503c\u4e00\u5b9a\u7b49\u4e8ef<\/span>(<\/span>a<\/span>)<\/span><\/span><\/span><\/span><\/span><\/p>\n

\u89e3\u7b54<\/strong>\uff1a
\n\u6839\u636e\u6781\u9650\u7684\u5c40\u90e8\u6709\u754c\u6027\uff0c\u82e5\u51fd\u6570f<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u5728x<\/span>=<\/span><\/span>a<\/span><\/span><\/span><\/span><\/span>\u5904\u5b58\u5728\u6781\u9650\uff0c\u5219\u51fd\u6570f<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u5728x<\/span>=<\/span><\/span>a<\/span><\/span><\/span><\/span><\/span>\u7684\u67d0\u4e2a\u90bb\u57df\u5185\u4e00\u5b9a\u6709\u754c\u3002
\n\u6545\u9009A\u3002<\/p>\n

\u6781\u9650\u56db\u5219\u8fd0\u7b97<\/h3>\n

\u4f8b\u98983\uff08\u9009\u62e9\u9898\uff09<\/strong>\uff1a
\n\u5df2\u77e5limx<\/span>\u2192<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>x<\/span><\/span><\/span>s<\/span>i<\/span>n<\/span><\/span>x<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\uff0climx<\/span>\u2192<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>x<\/span>2<\/span><\/span><\/span><\/span><\/span>1\u2212<\/span>c<\/span>o<\/span>s<\/span><\/span>x<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>2<\/span><\/span>1<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff0c\u5219limx<\/span>\u2192<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>1\u2212<\/span>c<\/span>o<\/span>s<\/span><\/span>x<\/span><\/span><\/span>x<\/span>s<\/span>i<\/span>n<\/span><\/span>x<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0\u7b49\u4e8e\uff08 \uff09
\nA. 0
\nB. 1
\nC. 2
\nD. \u4e0d\u5b58\u5728<\/p>\n

\u89e3\u7b54<\/strong>\uff1a
\n\u5229\u7528\u6781\u9650\u7684\u56db\u5219\u8fd0\u7b97\u6cd5\u5219\uff0c\u6709
\nlimx<\/span>\u2192<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>1\u2212<\/span>c<\/span>o<\/span>s<\/span><\/span>x<\/span><\/span><\/span>x<\/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><\/span>1\u2212<\/span>c<\/span>o<\/span>s<\/span><\/span>x<\/span><\/span>\u200b<\/span><\/span><\/span>x<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>\u22c5<\/span><\/span>limx<\/span>\u2192<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>sin<\/span>x<\/span><\/span><\/span><\/span><\/span>
\n=<\/span><\/span>limx<\/span>\u2192<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>2<\/span>1<\/span>\u200b<\/span>x<\/span><\/span><\/span>x<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>\u22c5<\/span><\/span>limx<\/span>\u2192<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>sin<\/span>x<\/span><\/span><\/span><\/span><\/span>\u00a0\uff08\u56e0\u4e3alimx<\/span>\u2192<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>x<\/span>2<\/span><\/span><\/span><\/span><\/span>1\u2212<\/span>c<\/span>o<\/span>s<\/span><\/span>x<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>2<\/span><\/span>1<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff0c\u6240\u4ee5limx<\/span>\u2192<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>x<\/span><\/span><\/span>1\u2212<\/span>c<\/span>o<\/span>s<\/span><\/span>x<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>2<\/span><\/span>1<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>x<\/span><\/span><\/span><\/span><\/span>\uff09
\n=<\/span><\/span>2<\/span>\u22c5<\/span><\/span>0<\/span>=<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>
\n\u6545\u9009A\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

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