{"id":11101,"date":"2024-08-24T16:52:35","date_gmt":"2024-08-24T08:52:35","guid":{"rendered":"http:\/\/www.aiersheng.cc\/?p=11101"},"modified":"2024-08-24T16:52:35","modified_gmt":"2024-08-24T08:52:35","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%86-13","status":"publish","type":"post","link":"https:\/\/www.aiersheng.cc\/?p=11101","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\uff0813\uff09"},"content":{"rendered":"

\u95f4\u65ad\u70b9\u662f\u51fd\u6570\u4e0d\u8fde\u7eed\u7684\u70b9\uff0c\u5b83\u5bf9\u4e8e\u7406\u89e3\u51fd\u6570\u7684\u6027\u8d28\u548c\u884c\u4e3a\u975e\u5e38\u91cd\u8981\u3002\u5728\u9ad8\u7b49\u6570\u5b66\u4e2d\uff0c\u95f4\u65ad\u70b9\u53ef\u4ee5\u6839\u636e\u5176\u5de6\u53f3\u6781\u9650\u7684\u5b58\u5728\u6027\u548c\u662f\u5426\u76f8\u7b49\u8fdb\u884c\u5206\u7c7b\u3002\u4e0b\u9762\u8be6\u7ec6\u89e3\u91ca\u95f4\u65ad\u70b9\u7684\u76f8\u5173\u77e5\u8bc6\u70b9\u548c\u89e3\u9898\u65b9\u6cd5\u3002<\/p>\n

\u95f4\u65ad\u70b9\u7684\u5b9a\u4e49<\/h3>\n

\u5982\u679c\u51fd\u6570f<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u5728x<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5904\u4e0d\u8fde\u7eed\uff0c\u5219\u79f0x<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4e3a\u51fd\u6570f<\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span>\u7684\u95f4\u65ad\u70b9\u3002<\/p>\n

\u95f4\u65ad\u70b9\u7684\u5206\u7c7b<\/h3>\n

\u7b2c\u4e00\u7c7b\u95f4\u65ad\u70b9<\/h4>\n

\u7b2c\u4e00\u7c7b\u95f4\u65ad\u70b9\u662f\u90a3\u4e9b\u5de6\u53f3\u6781\u9650\u90fd\u5b58\u5728\u7684\u95f4\u65ad\u70b9\u3002\u6839\u636e\u5de6\u53f3\u6781\u9650\u662f\u5426\u76f8\u7b49\uff0c\u7b2c\u4e00\u7c7b\u95f4\u65ad\u70b9\u53c8\u53ef\u4ee5\u5206\u4e3a\uff1a<\/p>\n

    \n
  1. \u53ef\u53bb\u95f4\u65ad\u70b9<\/strong>\uff1a\u5982\u679c\u51fd\u6570\u5728x<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5904\u7684\u5de6\u53f3\u6781\u9650\u5b58\u5728\u4e14\u76f8\u7b49\uff0c\u4f46\u4e0d\u7b49\u4e8e\u51fd\u6570\u5728x<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5904\u7684\u51fd\u6570\u503c\uff08\u5982\u679cx<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5728\u5b9a\u4e49\u57df\u5185\u7684\u8bdd\uff09\uff0c\u5219\u79f0x<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4e3a\u53ef\u53bb\u95f4\u65ad\u70b9\u3002<\/li>\n
  2. \u8df3\u8dc3\u95f4\u65ad\u70b9<\/strong>\uff1a\u5982\u679c\u51fd\u6570\u5728x<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5904\u7684\u5de6\u53f3\u6781\u9650\u5b58\u5728\u4f46\u4e0d\u76f8\u7b49\uff0c\u5219\u79f0x<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4e3a\u8df3\u8dc3\u95f4\u65ad\u70b9\u3002<\/li>\n<\/ol>\n

    \u7b2c\u4e8c\u7c7b\u95f4\u65ad\u70b9<\/h4>\n

    \u7b2c\u4e8c\u7c7b\u95f4\u65ad\u70b9\u662f\u90a3\u4e9b\u4e0d\u6ee1\u8db3\u7b2c\u4e00\u7c7b\u95f4\u65ad\u70b9\u6761\u4ef6\u7684\u95f4\u65ad\u70b9\uff0c\u5373\u5de6\u6781\u9650\u3001\u53f3\u6781\u9650\u6216\u4e24\u8005\u90fd\u4e0d\u5b58\u5728\u3002\u7b2c\u4e8c\u7c7b\u95f4\u65ad\u70b9\u53ef\u4ee5\u8fdb\u4e00\u6b65\u7ec6\u5206\u4e3a\u65e0\u7a77\u95f4\u65ad\u70b9\u548c\u9707\u8361\u95f4\u65ad\u70b9\u7b49\uff0c\u4f46\u4e13\u5347\u672c\u8003\u8bd5\u4e2d\u901a\u5e38\u4e0d\u4f5c\u8be6\u7ec6\u8981\u6c42\u3002<\/p>\n

    \u6c42\u89e3\u95f4\u65ad\u70b9\u7684\u65b9\u6cd5<\/h3>\n
      \n
    1. \u786e\u5b9a\u95f4\u65ad\u70b9<\/strong>\uff1a\u9996\u5148\uff0c\u627e\u51fa\u51fd\u6570\u53ef\u80fd\u4e0d\u8fde\u7eed\u7684\u70b9\uff0c\u5982\u5206\u6bcd\u4e3a\u96f6\u7684\u70b9\u3001\u5206\u6bb5\u51fd\u6570\u7684\u5206\u754c\u70b9\u7b49\u3002<\/li>\n
    2. \u6c42\u5de6\u53f3\u6781\u9650<\/strong>\uff1a\u5bf9\u4e8e\u6bcf\u4e2a\u53ef\u80fd\u7684\u95f4\u65ad\u70b9\uff0c\u5206\u522b\u6c42\u51fa\u5176\u5de6\u6781\u9650\u548c\u53f3\u6781\u9650\u3002<\/li>\n
    3. \u5224\u65ad\u95f4\u65ad\u70b9\u7c7b\u578b<\/strong>\uff1a\u6839\u636e\u5de6\u53f3\u6781\u9650\u7684\u5b58\u5728\u6027\u548c\u662f\u5426\u76f8\u7b49\uff0c\u5224\u65ad\u95f4\u65ad\u70b9\u7684\u7c7b\u578b\u3002<\/li>\n<\/ol>\n

      \u793a\u4f8b<\/h3>\n

      \u4f8b1<\/strong>\uff1a\u6c42\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>\u7684\u95f4\u65ad\u70b9\uff0c\u5e76\u5224\u65ad\u5176\u7c7b\u578b\u3002<\/p>\n

      \u89e3<\/strong>\uff1a\u9996\u5148\uff0c\u627e\u51fa\u53ef\u80fd\u7684\u95f4\u65ad\u70b9\uff0c\u5373\u5206\u6bcd\u4e3a\u96f6\u7684\u70b9\uff0c\u8fd9\u91ccx<\/span>=<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

      \u7136\u540e\uff0c\u6c42\u5de6\u53f3\u6781\u9650\uff1a<\/p>\n

        \n
      • \u5de6\u6781\u9650\uff1alimx<\/span>\u2192<\/span>1\u2212<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>f<\/span>(<\/span>x<\/span>)<\/span>=<\/span><\/span>limx<\/span>\u2192<\/span>1\u2212<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/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>limx<\/span>\u2192<\/span>1\u2212<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>x<\/span>\u2212<\/span>1<\/span><\/span>(<\/span>x<\/span>\u2212<\/span>1)<\/span>(<\/span>x<\/span>+<\/span>1)<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>limx<\/span>\u2192<\/span>1\u2212<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>(<\/span>x<\/span>+<\/span><\/span>1<\/span>)<\/span>=<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/li>\n
      • \u53f3\u6781\u9650\uff1alimx<\/span>\u2192<\/span>1+<\/span><\/span><\/span><\/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><\/span><\/span><\/span>\u200b<\/span><\/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>limx<\/span>\u2192<\/span>1+<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>x<\/span>\u2212<\/span>1<\/span><\/span>(<\/span>x<\/span>\u2212<\/span>1)<\/span>(<\/span>x<\/span>+<\/span>1)<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>limx<\/span>\u2192<\/span>1+<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>(<\/span>x<\/span>+<\/span><\/span>1<\/span>)<\/span>=<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/li>\n<\/ul>\n

        \u7531\u4e8e\u5de6\u53f3\u6781\u9650\u90fd\u5b58\u5728\u4e14\u76f8\u7b49\uff0c\u4f46\u51fd\u6570\u5728x<\/span>=<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\u5904\u6ca1\u6709\u5b9a\u4e49\uff08\u56e0\u4e3a\u5206\u6bcd\u4e3a\u96f6\uff09\uff0c\u6240\u4ee5x<\/span>=<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\u662f\u53ef\u53bb\u95f4\u65ad\u70b9\u3002<\/p>\n

        \u4f8b2<\/strong>\uff1a\u6c42\u5206\u6bb5\u51fd\u6570<\/p>\n

        f<\/span>(<\/span>x<\/span>)<\/span>=<\/span><\/span>\u23a9<\/span>\u23a8<\/span>\u23a7<\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>x<\/span>+<\/span>1,<\/span>2,<\/span>x<\/span>2<\/span><\/span><\/span><\/span>,<\/span><\/span>\u200b<\/span><\/span><\/span><\/span>if\u00a0<\/span>x<\/span><<\/span>1,<\/span>if\u00a0<\/span>x<\/span>=<\/span>1,<\/span>if\u00a0<\/span>x<\/span>><\/span>1.<\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n

        \u7684\u95f4\u65ad\u70b9\uff0c\u5e76\u5224\u65ad\u5176\u7c7b\u578b\u3002<\/p>\n

        \u89e3<\/strong>\uff1a\u5206\u6bb5\u51fd\u6570\u7684\u95f4\u65ad\u70b9\u901a\u5e38\u51fa\u73b0\u5728\u5206\u754c\u70b9\u5904\uff0c\u5373x<\/span>=<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

        \u6c42\u5de6\u53f3\u6781\u9650\uff1a<\/p>\n

          \n
        • \u5de6\u6781\u9650\uff1alimx<\/span>\u2192<\/span>1\u2212<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>f<\/span>(<\/span>x<\/span>)<\/span>=<\/span><\/span>limx<\/span>\u2192<\/span>1\u2212<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>(<\/span>x<\/span>+<\/span><\/span>1<\/span>)<\/span>=<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/li>\n
        • \u53f3\u6781\u9650\uff1alimx<\/span>\u2192<\/span>1+<\/span><\/span><\/span><\/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><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>x<\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span><\/li>\n<\/ul>\n

          \u7531\u4e8e\u5de6\u53f3\u6781\u9650\u5b58\u5728\u4f46\u4e0d\u76f8\u7b49\uff0c\u6240\u4ee5x<\/span>=<\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\u662f\u8df3\u8dc3\u95f4\u65ad\u70b9\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

          \u95f4\u65ad\u70b9\u662f\u51fd\u6570\u4e0d\u8fde\u7eed\u7684\u70b9\uff0c\u5b83\u5bf9\u4e8e\u7406\u89e3\u51fd\u6570\u7684\u6027\u8d28\u548c\u884c\u4e3a\u975e\u5e38\u91cd\u8981\u3002\u5728\u9ad8\u7b49\u6570\u5b66\u4e2d\uff0c\u95f4\u65ad\u70b9\u53ef\u4ee5\u6839\u636e\u5176\u5de6\u53f3\u6781\u9650\u7684\u5b58\u5728\u6027\u548c\u662f […]<\/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-11101","post","type-post","status-publish","format-standard","hentry","category-zsb"],"_links":{"self":[{"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/posts\/11101","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=11101"}],"version-history":[{"count":0,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/posts\/11101\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11101"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11101"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11101"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}