{"id":11105,"date":"2024-08-24T16:59:57","date_gmt":"2024-08-24T08:59:57","guid":{"rendered":"http:\/\/www.aiersheng.cc\/?p=11105"},"modified":"2024-08-24T16:59:57","modified_gmt":"2024-08-24T08:59:57","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%86-14","status":"publish","type":"post","link":"https:\/\/www.aiersheng.cc\/?p=11105","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\uff0814\uff09"},"content":{"rendered":"<p id=\"\">\u5728\u9ad8\u7b49\u6570\u5b66\u4e2d\uff0c\u95ed\u533a\u95f4\u4e0a\u51fd\u6570\u7684\u8fde\u7eed\u6027\u3001\u53ef\u5bfc\u6027\u3001\u53ef\u5fae\u6027\u3001\u53ef\u79ef\u6027\u4ee5\u53ca\u4e0e\u8fd9\u4e9b\u6027\u8d28\u76f8\u5173\u7684\u5b9a\u7406\u548c\u6027\u8d28\u662f\u91cd\u8981\u7684\u8003\u70b9\u3002\u4e0b\u9762\u6211\u5c06\u9488\u5bf9\u60a8\u63d0\u51fa\u7684\u95ee\u9898\u9010\u4e00\u8fdb\u884c\u89e3\u7b54\u3002<\/p>\n<h3>1. \u8fde\u7eed\u6027\u4e0e\u53ef\u5bfc\u6027<\/h3>\n<ul>\n<li><strong>\u8fde\u7eed\u5fc5\u53ef\u5bfc\u5417\uff1f<\/strong>\u00a0\u4e0d\u4e00\u5b9a\u3002\u4f8b\u5982\uff0c\u51fd\u6570<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mord\">\u2223<\/span><\/span><\/span><\/span><\/span>\u5728<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">x<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span>\u5904\u8fde\u7eed\u4f46\u4e0d\u53ef\u5bfc\u3002<\/li>\n<li><strong>\u53ef\u5bfc\u5fc5\u8fde\u7eed\u5417\uff1f<\/strong>\u00a0\u662f\u7684\u3002\u5982\u679c\u4e00\u4e2a\u51fd\u6570\u5728\u67d0\u70b9\u53ef\u5bfc\uff0c\u90a3\u4e48\u5b83\u5728\u8be5\u70b9\u4e00\u5b9a\u8fde\u7eed\u3002\n<p id=\"\"><strong>\u4f8b\u98981<\/strong>\uff1a\u5224\u65ad\u51fd\u6570<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"svg-align\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5728<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">x<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span>\u5904\u662f\u5426\u53ef\u5bfc\u3002<\/p>\n<p id=\"\"><strong>\u89e3\u7b54<\/strong>\uff1a\u51fd\u6570<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"svg-align\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5728<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">x<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span>\u5904\u4e0d\u8fde\u7eed\uff08\u56e0\u4e3a\u5b9a\u4e49\u57df\u4e0d\u5305\u62ec0\uff09\uff0c\u6240\u4ee5\u4e0d\u53ef\u5bfc\u3002\u4f46\u6ce8\u610f\uff0c\u5982\u679c\u8003\u8651<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">x<\/span><span class=\"mrel\">&gt;<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span>\u7684\u60c5\u51b5\uff0c\u5219\u51fd\u6570\u5728\u8be5\u533a\u95f4\u5185\u8fde\u7eed\u4e14\u53ef\u5bfc\u3002<\/p>\n<p id=\"\"><strong>\u4f8b\u98982<\/strong>\uff1a\u5224\u65ad\u51fd\u6570<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mord\">\u2223<\/span><\/span><\/span><\/span><\/span>\u5728<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">x<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span>\u5904\u662f\u5426\u53ef\u5bfc\u3002<\/p>\n<p id=\"\"><strong>\u89e3\u7b54<\/strong>\uff1a\u51fd\u6570<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mord\">\u2223<\/span><\/span><\/span><\/span><\/span>\u5728<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">x<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span>\u5904\u8fde\u7eed\u4f46\u4e0d\u53ef\u5bfc\uff0c\u56e0\u4e3a\u5de6\u5bfc\u6570<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mop\">lim<span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">x<\/span><span class=\"mrel mtight\">\u2192<\/span>0<span class=\"vlist-t\"><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mbin mtight\">\u2212<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">x<\/span><\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">f<\/span><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">x<\/span><span class=\"mclose mtight\">)<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mathnormal mtight\">f<\/span><span class=\"mopen mtight\">(<\/span>0<span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span>\u4e0e\u53f3\u5bfc\u6570<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mop\">lim<span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">x<\/span><span class=\"mrel mtight\">\u2192<\/span>0<span class=\"vlist-t\"><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mbin mtight\">+<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">x<\/span><\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">f<\/span><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">x<\/span><span class=\"mclose mtight\">)<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mathnormal mtight\">f<\/span><span class=\"mopen mtight\">(<\/span>0<span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span>\u4e0d\u76f8\u7b49\u3002<\/p>\n<\/li>\n<\/ul>\n<h3>2. \u8fde\u7eed\u6027\u4e0e\u53ef\u5fae\u6027<\/h3>\n<ul>\n<li><strong>\u8fde\u7eed\u5fc5\u53ef\u5fae\u5417\uff1f<\/strong>\u00a0\u4e0d\u4e00\u5b9a\u3002\u4e0e\u53ef\u5bfc\u6027\u7c7b\u4f3c\uff0c\u8fde\u7eed\u4e0d\u4e00\u5b9a\u53ef\u5fae\u3002<\/li>\n<li><strong>\u53ef\u5fae\u5fc5\u8fde\u7eed\u5417\uff1f<\/strong>\u00a0\u662f\u7684\u3002\u53ef\u5fae\u6027\u610f\u5473\u7740\u51fd\u6570\u5728\u8be5\u70b9\u65e2\u6709\u5de6\u5bfc\u6570\u4e5f\u6709\u53f3\u5bfc\u6570\u4e14\u76f8\u7b49\uff0c\u56e0\u6b64\u51fd\u6570\u5728\u8be5\u70b9\u8fde\u7eed\u3002<\/li>\n<\/ul>\n<h3>3. \u8fde\u7eed\u6027\u4e0e\u53ef\u79ef\u6027<\/h3>\n<ul>\n<li><strong>\u8fde\u7eed\u5fc5\u53ef\u79ef\u5417\uff1f<\/strong>\u00a0\u662f\u7684\u3002\u5728\u95ed\u533a\u95f4\u4e0a\u8fde\u7eed\u7684\u51fd\u6570\u4e00\u5b9a\u53ef\u79ef\uff08\u6839\u636e\u9ece\u66fc\u79ef\u5206\u7684\u5b9a\u4e49\uff09\u3002<\/li>\n<li><strong>\u53ef\u79ef\u5fc5\u8fde\u7eed\u5417\uff1f<\/strong>\u00a0\u4e0d\u4e00\u5b9a\u3002\u4f8b\u5982\uff0c\u72c4\u5229\u514b\u96f7\u51fd\u6570\u5728\u95ed\u533a\u95f4\u4e0a\u53ef\u79ef\u4f46\u5904\u5904\u4e0d\u8fde\u7eed\u3002\n<p id=\"\"><strong>\u4f8b\u98981<\/strong>\uff1a\u5224\u65ad\u51fd\u6570<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"minner\"><span class=\"mopen delimcenter\"><span class=\"delimsizing size4\">{<\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-l\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\">10<\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><span class=\"col-align-l\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"mord text\">if\u00a0<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mrel\">\u2208<\/span><span class=\"mord mathbb\">Q<\/span><span class=\"mord text\">if\u00a0<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mrel\">\u2208<span class=\"mord vbox\"><span class=\"thinbox\"><span class=\"llap\"><span class=\"inner\">\/<\/span><\/span><\/span><\/span><\/span><span class=\"mord mathbb\">Q<\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br \/>\n\u5728\u95ed\u533a\u95f4<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">1<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u4e0a\u662f\u5426\u53ef\u79ef\u3002<\/p>\n<p id=\"\"><strong>\u89e3\u7b54<\/strong>\uff1a\u8be5\u51fd\u6570\u5728<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">1<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u4e0a\u867d\u7136\u5904\u5904\u4e0d\u8fde\u7eed\uff0c\u4f46\u7531\u4e8e\u5176\u6709\u754c\u4e14\u53ea\u6709\u53ef\u6570\u591a\u4e2a\u4e0d\u8fde\u7eed\u70b9\uff0c\u56e0\u6b64\u6839\u636e\u52d2\u8d1d\u683c\u79ef\u5206\u7406\u8bba\uff0c\u8be5\u51fd\u6570\u5728<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">1<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u4e0a\u53ef\u79ef\uff08\u4f46\u9ece\u66fc\u79ef\u5206\u4e0b\u4e0d\u53ef\u79ef\uff0c\u56e0\u4e3a\u4e0d\u6ee1\u8db3\u9ece\u66fc\u53ef\u79ef\u6761\u4ef6\uff09\u3002\u4e0d\u8fc7\uff0c\u4e3a\u4e86\u7b80\u5316\uff0c\u6211\u4eec\u901a\u5e38\u8003\u8651\u7684\u662f\u9ece\u66fc\u79ef\u5206\uff0c\u6b64\u65f6\u53ef\u4ee5\u8bf4\u8be5\u51fd\u6570\u5728\u9ece\u66fc\u79ef\u5206\u610f\u4e49\u4e0b\u4e0d\u53ef\u79ef\u3002<\/p>\n<p id=\"\"><strong>\u4f8b\u98982<\/strong>\uff1a\u5224\u65ad\u51fd\u6570<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5728\u95ed\u533a\u95f4<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">1<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u4e0a\u662f\u5426\u53ef\u79ef\u3002<\/p>\n<p id=\"\"><strong>\u89e3\u7b54<\/strong>\uff1a\u663e\u7136\uff0c\u51fd\u6570<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5728\u95ed\u533a\u95f4<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">1<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u4e0a\u8fde\u7eed\uff0c\u56e0\u6b64\u6839\u636e\u9ece\u66fc\u79ef\u5206\u7684\u6027\u8d28\uff0c\u8be5\u51fd\u6570\u5728\u8be5\u533a\u95f4\u4e0a\u53ef\u79ef\u3002<\/p>\n<\/li>\n<\/ul>\n<h3>4. \u8fde\u7eed\u6027\u4e0e\u6700\u503c<\/h3>\n<ul>\n<li><strong>\u8fde\u7eed\u5fc5\u6709\u6700\u503c\u5417\uff1f<\/strong>\u00a0\u662f\u7684\u3002\u5728\u95ed\u533a\u95f4\u4e0a\u8fde\u7eed\u7684\u51fd\u6570\u4e00\u5b9a\u80fd\u53d6\u5230\u6700\u5927\u503c\u548c\u6700\u5c0f\u503c\uff08\u6839\u636e\u95ed\u533a\u95f4\u4e0a\u8fde\u7eed\u51fd\u6570\u7684\u6027\u8d28\uff09\u3002<\/li>\n<li><strong>\u6700\u503c\u5728\u54ea\u91cc\u53d6\u5230\uff1f<\/strong>\u00a0\u6700\u503c\u53ef\u80fd\u5728\u533a\u95f4\u7684\u7aef\u70b9\u6216\u5185\u90e8\u7684\u6781\u503c\u70b9\u5904\u53d6\u5f97\u3002\n<p id=\"\"><strong>\u4f8b\u98981<\/strong>\uff1a\u6c42\u51fd\u6570<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5728\u95ed\u533a\u95f4<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">2<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u4e0a\u7684\u6700\u5927\u503c\u548c\u6700\u5c0f\u503c\u3002<\/p>\n<p id=\"\"><strong>\u89e3\u7b54<\/strong>\uff1a\u51fd\u6570<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5728\u95ed\u533a\u95f4<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">2<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u4e0a\u8fde\u7eed\u3002\u6c42\u5bfc\u5f97<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">f<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span>\uff0c\u4ee4<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">f<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span>\u5f97<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">x<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span>\uff08\u4e0d\u5728\u533a\u95f4\u7aef\u70b9\u4e0a\uff0c\u4f46\u8003\u8651\u5728\u5185\uff09\u3002\u8ba1\u7b97\u7aef\u70b9\u548c\u9a7b\u70b9\u7684\u51fd\u6570\u503c\uff1a<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span>\uff0c<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">0<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span>\uff0c<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">2<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">4<\/span><\/span><\/span><\/span><\/span>\u3002\u56e0\u6b64\uff0c\u6700\u5927\u503c\u4e3a4\uff0c\u5728<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">x<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><\/span><\/span><\/span><\/span>\u5904\u53d6\u5f97\uff1b\u6700\u5c0f\u503c\u4e3a0\uff0c\u5728<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">x<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span>\u5904\u53d6\u5f97\u3002<\/p>\n<\/li>\n<\/ul>\n<h3>5. \u96f6\u70b9\u5b58\u5728\u5b9a\u7406\u3001\u4ecb\u503c\u5b9a\u7406<\/h3>\n<ul>\n<li><strong>\u96f6\u70b9\u5b58\u5728\u5b9a\u7406<\/strong>\uff1a\u5982\u679c\u51fd\u6570\u5728\u95ed\u533a\u95f4\u7684\u4e24\u7aef\u53d6\u503c\u5f02\u53f7\uff0c\u5219\u51fd\u6570\u5728\u8be5\u533a\u95f4\u5185\u81f3\u5c11\u6709\u4e00\u4e2a\u96f6\u70b9\u3002<\/li>\n<li><strong>\u4ecb\u503c\u5b9a\u7406<\/strong>\uff1a\u5982\u679c\u51fd\u6570\u5728\u95ed\u533a\u95f4\u4e0a\u8fde\u7eed\uff0c\u4e14\u5728\u8be5\u533a\u95f4\u7684\u4e24\u7aef\u53d6\u503c\u5206\u522b\u4e3a<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">M<\/span><\/span><\/span><\/span><\/span>\u548c<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">N<\/span><\/span><\/span><\/span><\/span>\uff0c\u5219\u5bf9\u4e8e<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">M<\/span><\/span><\/span><\/span><\/span>\u548c<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">N<\/span><\/span><\/span><\/span><\/span>\u4e4b\u95f4\u7684\u4efb\u610f\u503c<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">C<\/span><\/span><\/span><\/span><\/span>\uff0c\u51fd\u6570\u5728\u8be5\u533a\u95f4\u5185\u81f3\u5c11\u6709\u4e00\u70b9\u4f7f\u5f97\u51fd\u6570\u503c\u7b49\u4e8e<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">C<\/span><\/span><\/span><\/span><\/span>\u3002\n<p id=\"\"><strong>\u4f8b\u98981<\/strong>\uff1a\u8bc1\u660e\u65b9\u7a0b<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">5<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span>\u5728\u533a\u95f4<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">3<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u5185\u81f3\u5c11\u6709\u4e00\u4e2a\u6839\u3002<\/p>\n<p id=\"\"><strong>\u89e3\u7b54<\/strong>\uff1a\u8ba1\u7b97<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">2<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">2<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">5<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><span class=\"mrel\">&lt;<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span>\uff0c<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">3<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">3<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">3<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">5<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">16<\/span><span class=\"mrel\">&gt;<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span>\u3002\u7531\u4e8e\u51fd\u6570<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">5<\/span><\/span><\/span><\/span><\/span>\u5728\u533a\u95f4<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">3<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u4e0a\u8fde\u7eed\uff0c\u6839\u636e\u96f6\u70b9\u5b58\u5728\u5b9a\u7406\uff0c\u65b9\u7a0b<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">5<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span>\u5728\u533a\u95f4<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">3<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u5185\u81f3\u5c11\u6709\u4e00\u4e2a\u6839\u3002<\/p>\n<\/li>\n<\/ul>\n<h3>6. \u7f57\u5c14\u4e2d\u503c\u5b9a\u7406\u3001\u62c9\u683c\u6717\u65e5\u4e2d\u503c\u5b9a\u7406<\/h3>\n<ul>\n<li><strong>\u7f57\u5c14\u4e2d\u503c\u5b9a\u7406<\/strong>\uff1a\u5982\u679c\u51fd\u6570\u5728\u95ed\u533a\u95f4\u4e0a\u8fde\u7eed\uff0c\u5728\u5f00\u533a\u95f4\u5185\u53ef\u5bfc\uff0c\u4e14\u533a\u95f4\u4e24\u7aef\u51fd\u6570\u503c\u76f8\u7b49\uff0c\u5219\u81f3\u5c11\u5b58\u5728\u4e00\u70b9\u4f7f\u5f97\u51fd\u6570\u5728\u8be5\u70b9\u7684\u5bfc\u6570\u4e3a\u96f6\u3002<\/li>\n<li><strong>\u62c9\u683c\u6717\u65e5\u4e2d\u503c\u5b9a\u7406<\/strong>\uff1a\u5982\u679c\u51fd\u6570\u5728\u95ed\u533a\u95f4\u4e0a\u8fde\u7eed\uff0c\u5728\u5f00\u533a\u95f4\u5185\u53ef\u5bfc\uff0c\u5219\u81f3\u5c11\u5b58\u5728\u4e00\u70b9\u4f7f\u5f97\u51fd\u6570\u5728\u8be5\u70b9\u7684\u5bfc\u6570\u4e0e\u533a\u95f4\u4e24\u7aef\u51fd\u6570\u503c\u4e4b\u5dee\u7684\u5546\u7b49\u4e8e\u533a\u95f4\u957f\u5ea6\u7684\u5012\u6570\u4e58\u4ee5\u51fd\u6570\u5728\u8be5\u70b9\u5904\u7684\u589e\u91cf\u3002\n<p id=\"\"><strong>\u4f8b\u98985<\/strong>\uff1a\u9a8c\u8bc1\u51fd\u6570<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mop\">cos<\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span>\u5728\u533a\u95f4<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">\u03c0<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u4e0a\u662f\u5426\u6ee1\u8db3\u7f57\u5c14\u4e2d\u503c\u5b9a\u7406\u3002<\/p>\n<p><strong>\u89e3\u7b54<\/strong>\uff1a\u51fd\u6570<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mop\">cos<\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span>\u5728\u533a\u95f4<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">\u03c0<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u4e0a\u8fde\u7eed\uff0c\u5728<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">\u03c0<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u5185\u53ef\u5bfc\uff0c\u4e14<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">0<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">\u03c0<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span>\u3002\u4f46\u7f57\u5c14\u4e2d\u503c\u5b9a\u7406\u8981\u6c42\u533a\u95f4\u5185\u5bfc\u6570\u5fc5\u987b\u6539\u53d8\u7b26\u53f7\uff0c\u800c<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">f<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">\u2212<\/span><span class=\"mop\">sin<\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span>\u5728<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">\u03c0<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u4e0a\u5e76\u672a\u6539\u53d8\u7b26\u53f7\uff08\u5c3d\u7ba1\u5b83\u4e3a\u96f6<\/p>\n<p id=\"\">\u7684\u70b9\u6709\u591a\u4e2a\uff0c\u4f46\u7f57\u5c14\u4e2d\u503c\u5b9a\u7406\u66f4\u4e25\u683c\u5730\u8981\u6c42\u5b58\u5728\u81f3\u5c11\u4e00\u4e2a\u5185\u90e8\u70b9\u4f7f\u5f97\u5bfc\u6570\u5728\u8be5\u70b9\u4e3a\u96f6\u4e14\u8be5\u70b9\u4e24\u4fa7\u7684\u5bfc\u6570\u7b26\u53f7\u76f8\u53cd\uff09\u3002\u7136\u800c\uff0c\u5728\u8fd9\u4e2a\u7279\u5b9a\u7684\u4f8b\u5b50\u4e2d\uff0c\u867d\u7136<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">f<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">\u2212<\/span><span class=\"mop\">sin<\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span>\u5728<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">\u03c0<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u5185\u6709\u591a\u4e2a\u96f6\u70b9\uff08\u5373<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">x<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">\u03c0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">\u03c0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">3<\/span><span class=\"mord mathnormal\">\u03c0<\/span><span class=\"mpunct\">,<\/span><span class=\"minner\">\u2026<\/span><\/span><\/span><\/span><\/span>\uff0c\u4f46\u6ce8\u610f<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">3<\/span><span class=\"mord mathnormal\">\u03c0<\/span><\/span><\/span><\/span><\/span>\u4e0d\u5728\u533a\u95f4<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">\u03c0<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u5185\uff09\uff0c\u4f46\u6ca1\u6709\u4e00\u4e2a\u96f6\u70b9\u4f7f\u5f97\u5176\u4e24\u4fa7\u7684\u5bfc\u6570\u7b26\u53f7\u76f8\u53cd\uff08\u56e0\u4e3a<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mop\">sin<\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span>\u5728<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord mathnormal\">\u03c0<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u548c<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\">\u03c0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">\u03c0<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u4e0a\u90fd\u662f\u5148\u589e\u540e\u51cf\uff0c\u4f46\u5e76\u672a\u8de8\u8d8a\u96f6\u70b9\u7ebf\u5e76\u6539\u53d8\u7b26\u53f7\uff09\u3002<\/p>\n<p id=\"\">\u56e0\u6b64\uff0c\u5c3d\u7ba1\u51fd\u6570<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mop\">cos<\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span>\u5728\u533a\u95f4<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">\u03c0<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u4e0a\u6ee1\u8db3\u7f57\u5c14\u4e2d\u503c\u5b9a\u7406\u7684\u524d\u4e24\u4e2a\u6761\u4ef6\uff08\u8fde\u7eed\u6027\u548c\u53ef\u5bfc\u6027\uff0c\u4e14\u5728\u533a\u95f4\u4e24\u7aef\u53d6\u503c\u76f8\u7b49\uff09\uff0c\u4f46\u5b83\u4e0d\u6ee1\u8db3\u7b2c\u4e09\u4e2a\u9690\u542b\u6761\u4ef6\uff0c\u5373\u5bfc\u6570\u5728\u8be5\u533a\u95f4\u5185\u5fc5\u987b\u201c\u8db3\u591f\u53d8\u5316\u201d\u4ee5\u4f7f\u5f97\u5b58\u5728\u81f3\u5c11\u4e00\u4e2a\u5185\u90e8\u70b9\u6ee1\u8db3\u7f57\u5c14\u4e2d\u503c\u5b9a\u7406\u7684\u7ed3\u8bba\u3002\u6240\u4ee5\uff0c\u6211\u4eec\u4e0d\u80fd\u76f4\u63a5\u5e94\u7528\u7f57\u5c14\u4e2d\u503c\u5b9a\u7406\u6765\u65ad\u5b9a\u5728\u533a\u95f4<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">\u03c0<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u5185\u5b58\u5728\u67d0\u4e2a<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">c<\/span><\/span><\/span><\/span><\/span>\u4f7f\u5f97<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">f<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">c<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span>\u4e14<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">c<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u662f<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">0<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u548c<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">\u03c0<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u4e4b\u95f4\u7684\u6781\u503c\uff08\u5c3d\u7ba1\u5b9e\u9645\u4e0a\u8fd9\u6837\u7684<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">c<\/span><\/span><\/span><\/span><\/span>\u662f\u5b58\u5728\u7684\uff0c\u5373<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">c<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">\u03c0<\/span><\/span><\/span><\/span><\/span>\u548c<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">c<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">\u03c0<\/span><\/span><\/span><\/span><\/span>\uff0c\u4f46\u7f57\u5c14\u4e2d\u503c\u5b9a\u7406\u7684\u8868\u8ff0\u5e76\u4e0d\u76f4\u63a5\u9002\u7528\u4e8e\u8fd9\u79cd\u60c5\u51b5\uff09\u3002<\/p>\n<p id=\"\">\u4e3a\u4e86\u66f4\u51c6\u786e\u5730\u5e94\u7528\u7f57\u5c14\u4e2d\u503c\u5b9a\u7406\uff0c\u6211\u4eec\u5e94\u8be5\u9009\u62e9\u4e00\u4e2a\u66f4\u5c0f\u7684\u5b50\u533a\u95f4\uff0c\u6bd4\u5982<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord mathnormal\">\u03c0<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u6216<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\">\u03c0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">2<\/span><span class=\"mord mathnormal\">\u03c0<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\uff0c\u5728\u8fd9\u4e9b\u5b50\u533a\u95f4\u4e0a\uff0c\u51fd\u6570<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mop\">cos<\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span>\u7684\u5bfc\u6570\u786e\u5b9e\u4f1a\u6539\u53d8\u7b26\u53f7\u3002\u4f8b\u5982\uff0c\u5728\u533a\u95f4<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord mathnormal\">\u03c0<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u4e0a\uff0c<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">f<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">\u2212<\/span><span class=\"mop\">sin<\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span>\u4ece\u6b63\u53d8\u4e3a\u8d1f\uff0c\u56e0\u6b64\u5b58\u5728\u67d0\u4e2a<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">c<\/span><span class=\"mrel\">\u2208<\/span><\/span><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord mathnormal\">\u03c0<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u4f7f\u5f97<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">f<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">c<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span>\uff0c\u8fd9\u6b63\u662f\u7f57\u5c14\u4e2d\u503c\u5b9a\u7406\u6240\u4fdd\u8bc1\u7684\u3002<\/p>\n<\/li>\n<\/ul>\n<h3>7. \u79ef\u5206\u4e2d\u503c\u5b9a\u7406\u3001\u5b9a\u79ef\u5206\u6027\u8d28<\/h3>\n<ul>\n<li><strong>\u79ef\u5206\u4e2d\u503c\u5b9a\u7406<\/strong>\uff1a\u5982\u679c\u51fd\u6570\u5728\u95ed\u533a\u95f4\u4e0a\u8fde\u7eed\uff0c\u5219\u81f3\u5c11\u5b58\u5728\u4e00\u70b9\u4f7f\u5f97\u51fd\u6570\u5728\u8be5\u70b9\u7684\u503c\u7b49\u4e8e\u51fd\u6570\u5728\u8be5\u533a\u95f4\u4e0a\u7684\u5b9a\u79ef\u5206\u9664\u4ee5\u533a\u95f4\u957f\u5ea6\u3002<\/li>\n<li><strong>\u5b9a\u79ef\u5206\u6027\u8d28<\/strong>\uff1a\u5305\u62ec\u7ebf\u6027\u6027\u3001\u53ef\u52a0\u6027\u3001\u79ef\u5206\u533a\u95f4\u53ef\u53d8\u6027\u7b49\u3002\n<p id=\"\"><strong>\u4f8b\u98981<\/strong>\uff1a\u5e94\u7528\u79ef\u5206\u4e2d\u503c\u5b9a\u7406\u4e8e\u51fd\u6570<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5728\u533a\u95f4<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">[<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">1<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>\u4e0a\u3002<\/p>\n<p id=\"\"><strong>\u89e3\u7b54<\/strong>\uff1a\u6839\u636e\u79ef\u5206\u4e2d\u503c\u5b9a\u7406\uff0c\u5b58\u5728\u67d0\u4e2a<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">c<\/span><span class=\"mrel\">\u2208<\/span><\/span><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u4f7f\u5f97<\/p>\n<p id=\"\"><span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mop\"><span class=\"mop op-symbol small-op\">\u222b<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">d<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">c<\/span><span class=\"mclose\">)<\/span><span class=\"mbin\">\u22c5<\/span><\/span><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">c<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<p id=\"\">\u9996\u5148\u8ba1\u7b97\u5b9a\u79ef\u5206\uff1a<\/p>\n<p id=\"\"><span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mop\"><span class=\"mop op-symbol small-op\">\u222b<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">d<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"minner\"><span class=\"mopen delimcenter\"><span class=\"delimsizing size1\">[<\/span><\/span><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\"><span class=\"delimsizing size1\">]<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p id=\"\">\u7136\u540e\u627e\u5230\u6ee1\u8db3\u6761\u4ef6\u7684<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">c<\/span><\/span><\/span><\/span><\/span>\u3002\u7531\u4e8e<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">c<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">c<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff0c\u6211\u4eec\u89e3\u65b9\u7a0b\uff1a<\/p>\n<p id=\"\"><span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">c<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">\u27f9<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">c<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">\u00b1<\/span><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord sqrt mtight\"><span class=\"svg-align\">3<\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p id=\"\">\u4f46\u7531\u4e8e<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">c<\/span><\/span><\/span><\/span><\/span>\u5fc5\u987b\u5728\u533a\u95f4<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u5185\uff0c\u6240\u4ee5\u53ea\u53d6\u6b63\u503c\uff0c\u5373<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">c<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord sqrt mtight\"><span class=\"svg-align\">3<\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002\u6ce8\u610f\uff0c\u79ef\u5206\u4e2d\u503c\u5b9a\u7406\u53ea\u4fdd\u8bc1\u5b58\u5728\u4e00\u4e2a\u8fd9\u6837\u7684<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">c<\/span><\/span><\/span><\/span><\/span>\uff0c\u4f46\u4e0d\u4fdd\u8bc1\u5b83\u662f\u552f\u4e00\u7684\u3002\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord sqrt mtight\"><span class=\"svg-align\">3<\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u6ee1\u8db3\u6761\u4ef6\u7684\u4e00\u4e2a\u503c\u3002<\/p>\n<\/li>\n<\/ul>\n<h3>8. \u53d8\u4e0a\u4e0b\u9650\u79ef\u5206\u6c42\u5bfc<\/h3>\n<p id=\"\">\u53d8\u4e0a\u4e0b\u9650\u79ef\u5206\u6c42\u5bfc\u662f\u5fae\u79ef\u5206\u4e2d\u7684\u4e00\u4e2a\u91cd\u8981\u6280\u5de7\uff0c\u5b83\u5141\u8bb8\u6211\u4eec\u5bf9\u5305\u542b\u79ef\u5206\u7684\u8868\u8fbe\u5f0f\u8fdb\u884c\u6c42\u5bfc\u3002<\/p>\n<h3>\u51fd\u6570\u56db\u6027\u5728\u79ef\u5206\u6216\u6c42\u5bfc\u540e\u7684\u53d8\u5316<\/h3>\n<ul>\n<li><strong>\u6709\u754c\u6027<\/strong>\uff1a\u6709\u754c\u51fd\u6570\u6c42\u5bfc\u540e\u4e0d\u4e00\u5b9a\u6709\u754c\uff08\u5982<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">x<\/span><\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5728<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u4e0a\u6709\u754c\u4f46\u6c42\u5bfc\u540e\u65e0\u754c\uff09\uff0c\u4f46\u79ef\u5206\u540e\u901a\u5e38\u4fdd\u6301\u6709\u754c\uff08\u9664\u975e\u79ef\u5206\u533a\u95f4\u65e0\u9650\uff09\u3002<\/li>\n<li><strong>\u5355\u8c03\u6027<\/strong>\uff1a\u5355\u8c03\u51fd\u6570\u6c42\u5bfc\u540e\u4e0d\u4e00\u5b9a\u5355\u8c03\uff08\u5982<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5355\u8c03\u9012\u589e\u4f46\u6c42\u5bfc\u540e<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">3<\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5728<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">x<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span>\u5904\u6539\u53d8\u5355\u8c03\u6027\uff09\uff0c\u4f46\u79ef\u5206\u540e\u4fdd\u6301\u5355\u8c03\u6027\u3002<\/li>\n<li><strong>\u5947\u5076\u6027<\/strong>\uff1a\u5947\u5076\u51fd\u6570\u6c42\u5bfc\u540e\u5947\u5076\u6027\u53ef\u80fd\u6539\u53d8\uff08\u5982<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u5947\u51fd\u6570\u4f46\u6c42\u5bfc\u540e<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">3<\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u5076\u51fd\u6570\uff09\uff0c\u4f46\u79ef\u5206\u540e\u4fdd\u6301\u5947\u5076\u6027\uff08\u5728\u9002\u5f53\u7684\u79ef\u5206\u533a\u95f4\u4e0a\uff09\u3002<\/li>\n<li><strong>\u5468\u671f\u6027<\/strong>\uff1a\u5468\u671f\u51fd\u6570\u6c42\u5bfc\u540e\u4e0d\u4e00\u5b9a\u5468\u671f\uff08\u5982<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mop\">sin<\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span>\u5468\u671f\u4f46\u6c42\u5bfc\u540e<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mop\">cos<\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span>\u975e\u5468\u671f\uff09\uff0c\u4f46\u79ef\u5206\u540e\u4fdd\u6301\u5468\u671f\u6027\uff08\u5728\u9002\u5f53\u7684\u79ef\u5206\u533a\u95f4\u4e0a\uff09\u3002<\/li>\n<\/ul>\n<p id=\"\">\u4ee5\u4e0a\u662f\u5bf9\u60a8\u63d0\u51fa\u95ee\u9898\u7684\u8be6\u7ec6\u89e3\u7b54\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u9ad8\u7b49\u6570\u5b66\u4e2d\uff0c\u95ed\u533a\u95f4\u4e0a\u51fd\u6570\u7684\u8fde\u7eed\u6027\u3001\u53ef\u5bfc\u6027\u3001\u53ef\u5fae\u6027\u3001\u53ef\u79ef\u6027\u4ee5\u53ca\u4e0e\u8fd9\u4e9b\u6027\u8d28\u76f8\u5173\u7684\u5b9a\u7406\u548c\u6027\u8d28\u662f\u91cd\u8981\u7684\u8003\u70b9\u3002\u4e0b\u9762\u6211\u5c06 [&hellip;]<\/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-11105","post","type-post","status-publish","format-standard","hentry","category-zsb"],"_links":{"self":[{"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/posts\/11105","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=11105"}],"version-history":[{"count":0,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/posts\/11105\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11105"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11105"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11105"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}