{"id":7300,"date":"2025-09-23T20:31:39","date_gmt":"2025-09-23T12:31:39","guid":{"rendered":"https:\/\/www.xinyixx.com\/?p=7300"},"modified":"2025-09-23T20:31:39","modified_gmt":"2025-09-23T12:31:39","slug":"math-2","status":"publish","type":"post","link":"https:\/\/www.xinyixx.com\/index.php\/2025\/09\/23\/math-2\/","title":{"rendered":"\u6570\u5b66\u7684\u5168\u666f\u56fe\uff1a\u4ece\u6570\u4e0e\u903b\u8f91\u5230\u73b0\u4ee3\u524d\u6cbf\u7684\u5b66\u672f\u68b3\u7406"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">\u5f15\u8a00<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u8981\u7528\u4e00\u53e5\u8bdd\u6765\u5b9a\u4e49\u6570\u5b66\uff0c\u90a3\u4e48\u5b83\u65e2\u662f\u4e00\u95e8\u5173\u4e8e<strong>\u6570\u91cf\u3001\u7ed3\u6784\u3001\u53d8\u5316\u4e0e\u7a7a\u95f4<\/strong>\u7684\u79d1\u5b66\uff0c\u4e5f\u662f\u4e00\u79cd\u8ffd\u6c42\u7edd\u5bf9\u4e25\u5bc6\u6027\u7684\u903b\u8f91\u4f53\u7cfb\u3002\u6570\u5b66\u4e0d\u4ec5\u670d\u52a1\u4e8e\u81ea\u7136\u79d1\u5b66\u4e0e\u5de5\u7a0b\u5b66\uff0c\u66f4\u9010\u6e10\u6f14\u53d8\u6210\u4e00\u5957\u89e3\u91ca\u4e16\u754c\u3001\u63a8\u6f14\u672a\u6765\u7684\u666e\u9002\u8bed\u8a00\u3002\u82f1\u56fd\u6570\u5b66\u5bb6 G. H. Hardy \u66fe\u5728\u300a\u4e00\u4e2a\u6570\u5b66\u5bb6\u7684\u8fa9\u767d\u300b\u4e2d\u5199\u9053\uff1a\u201c\u6570\u5b66\u662f\u4e00\u79cd\u827a\u672f\uff0c\u5b83\u7684\u6a21\u5f0f\u6bd4\u7ed8\u753b\u3001\u97f3\u4e50\u66f4\u4e3a\u6c38\u6052\u3002\u201d<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u73b0\u4ee3\u77e5\u8bc6\u4f20\u64ad\u5e73\u53f0 YouTube \u4e0a\uff0c\u535a\u4e3b <strong>Domain of Science<\/strong> \u5236\u4f5c\u7684\u300aThe Map of Mathematics\u300b\u89c6\u9891\uff0c\u5c06\u6574\u4e2a\u6570\u5b66\u4f53\u7cfb\u7ed8\u5236\u6210\u4e00\u5f20\u76f4\u89c2\u7684\u201c\u5730\u56fe\u201d\uff0c\u5c55\u793a\u51fa\u4ece\u57fa\u7840\u6570\u7cfb\u5230\u62bd\u8c61\u7406\u8bba\uff0c\u518d\u5230\u5e94\u7528\u5206\u652f\u7684\u6f14\u5316\u8109\u7edc\u3002\u8fd9\u4e0d\u4ec5\u662f\u4e00\u4efd\u5b66\u4e60\u8def\u7ebf\uff0c\u66f4\u662f\u4e00\u6b21\u5168\u666f\u5f0f\u7684\u5b66\u672f\u5bfc\u822a\u3002\u672c\u6587\u5c06\u4ee5\u8fd9\u5f20\u5730\u56fe\u4e3a\u84dd\u672c\uff0c\u7ed3\u5408\u6570\u5b66\u53f2\u7684\u53d1\u5c55\u4e0e\u73b0\u4ee3\u5e94\u7528\uff0c\u5bf9\u6570\u5b66\u7684\u4f53\u7cfb\u7ed3\u6784\u8fdb\u884c\u7cfb\u7edf\u68b3\u7406\u4e0e\u6269\u5c55\uff0c\u529b\u6c42\u63d0\u4f9b\u4e00\u5e45\u5b66\u672f\u6027\u7684\u767e\u79d1\u56fe\u666f\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e00\u3001\u6570\u5b66\u7684\u6839\u57fa\uff1a\u6570\u4e0e\u903b\u8f91<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">1. \u6570\u7684\u6f14\u5316<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u4eba\u7c7b\u6700\u65e9\u63a5\u89e6\u7684\u6570\u5b66\u6982\u5ff5\u662f\u201c\u6570\u201d\u3002\u4ece\u72e9\u730e\u91c7\u96c6\u65f6\u4ee3\u7684\u523b\u75d5\u8ba1\u6570\uff0c\u5230\u519c\u4e1a\u6587\u660e\u65f6\u671f\u7684\u7b97\u76d8\u4e0e\u5ea6\u91cf\u8861\uff0c\u6570\u7684\u6982\u5ff5\u9010\u6e10\u4e30\u5bcc\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u81ea\u7136\u6570\uff08Natural Numbers\uff09<\/strong>\uff1a\u6700\u57fa\u672c\u7684\u6570\u7cfb\uff0c\u7528\u6765\u8ba1\u6570\u3002\u53e4\u5df4\u6bd4\u4f26\u4eba\u548c\u57c3\u53ca\u4eba\u5df2\u7ecf\u4f7f\u7528\u81ea\u7136\u6570\u6765\u8fdb\u884c\u571f\u5730\u4e08\u91cf\u4e0e\u7cae\u98df\u8ba1\u7b97\u3002<\/li>\n\n\n\n<li><strong>\u6574\u6570\uff08Integers\uff09<\/strong>\uff1a\u5305\u62ec\u8d1f\u6570\u7684\u6982\u5ff5\u5728\u53e4\u4ee3\u4e2d\u56fd\u300a\u4e5d\u7ae0\u7b97\u672f\u300b\u4e2d\u5df2\u88ab\u63d0\u53ca\uff0c\u7528\u4ee5\u89e3\u51b3\u76c8\u4e8f\u5e73\u8861\u95ee\u9898\u3002<\/li>\n\n\n\n<li><strong>\u6709\u7406\u6570\uff08Rational Numbers\uff09<\/strong>\uff1a\u5206\u6570\u7684\u51fa\u73b0\u4f7f\u5f97\u6bd4\u4f8b\u95ee\u9898\u5f97\u4ee5\u89e3\u51b3\u3002<\/li>\n\n\n\n<li><strong>\u5b9e\u6570\uff08Real Numbers\uff09<\/strong>\uff1a\u5e0c\u814a\u6570\u5b66\u5bb6\u6bd5\u8fbe\u54e5\u62c9\u65af\u5b66\u6d3e\u56e0\u53d1\u73b0\u65e0\u7406\u6570\uff08\u5982 \u221a2\uff09\u800c\u9677\u5165\u54f2\u5b66\u5371\u673a\uff0c\u6700\u7ec8\u5bfc\u81f4\u5b9e\u6570\u7406\u8bba\u7684\u9010\u6b65\u5efa\u7acb\u3002<\/li>\n\n\n\n<li><strong>\u590d\u6570\uff08Complex Numbers\uff09<\/strong>\uff1a16 \u4e16\u7eaa\uff0c\u610f\u5927\u5229\u6570\u5b66\u5bb6\u5361\u5c14\u8fbe\u8bfa\u5728\u7814\u7a76\u4e09\u6b21\u65b9\u7a0b\u65f6\u5f15\u5165\u865a\u6570\uff0c\u6700\u7ec8\u5f62\u6210\u4e86\u590d\u6570\u4f53\u7cfb\u3002\u590d\u6570\u4e0d\u4ec5\u5728\u6570\u5b66\u4e2d\u81ea\u6210\u4f53\u7cfb\uff0c\u66f4\u6210\u4e3a\u73b0\u4ee3\u7269\u7406\u5b66\uff08\u5982\u91cf\u5b50\u529b\u5b66\uff09\u7684\u6838\u5fc3\u5de5\u5177\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u6570\u7684\u6f14\u5316\u4f53\u73b0\u4e86\u6570\u5b66\u4ece\u76f4\u89c2\u7ecf\u9a8c\u5230\u62bd\u8c61\u601d\u7ef4\u7684\u8fc7\u6e21\u3002\u4eca\u5929\u7684\u6570\u7cfb\u5df2\u88ab\u7edf\u4e00\u5728\u96c6\u5408\u8bba\u4e0e\u4ee3\u6570\u7ed3\u6784\u4e4b\u4e0b\uff0c\u6210\u4e3a\u6570\u5b66\u7684\u6700\u5e95\u5c42\u57fa\u77f3\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u903b\u8f91\u7684\u5960\u57fa<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u8bf4\u201c\u6570\u201d\u4e3a\u6570\u5b66\u63d0\u4f9b\u4e86\u7814\u7a76\u5bf9\u8c61\uff0c\u90a3\u4e48\u201c\u903b\u8f91\u201d\u5219\u63d0\u4f9b\u4e86\u63a8\u7406\u89c4\u5219\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u53e4\u5178\u903b\u8f91<\/strong>\uff1a\u6e90\u4e8e\u4e9a\u91cc\u58eb\u591a\u5fb7\u7684\u4e09\u6bb5\u8bba\uff0c\u662f\u5f62\u5f0f\u903b\u8f91\u7684\u96cf\u5f62\u3002<\/li>\n\n\n\n<li><strong>\u5e03\u5c14\u4ee3\u6570\uff08Boolean Algebra\uff09<\/strong>\uff1a19 \u4e16\u7eaa\u82f1\u56fd\u6570\u5b66\u5bb6\u4e54\u6cbb\u00b7\u5e03\u5c14\u5c06\u903b\u8f91\u8f6c\u5316\u4e3a\u4ee3\u6570\u7b26\u53f7\uff0c\u5960\u5b9a\u4e86\u73b0\u4ee3\u8ba1\u7b97\u673a\u79d1\u5b66\u7684\u57fa\u7840\u3002<\/li>\n\n\n\n<li><strong>\u6570\u7406\u903b\u8f91<\/strong>\uff1a19 \u4e16\u7eaa\u672b\u5230 20 \u4e16\u7eaa\u521d\uff0c\u5f17\u96f7\u683c\u3001\u7f57\u7d20\u4e0e\u5e0c\u5c14\u4f2f\u7279\u8bd5\u56fe\u7528\u5f62\u5f0f\u7cfb\u7edf\u6765\u5960\u5b9a\u6570\u5b66\u7684\u4e25\u5bc6\u6027\u3002<\/li>\n\n\n\n<li><strong>\u54e5\u5fb7\u5c14\u4e0d\u5b8c\u5907\u5b9a\u7406<\/strong>\uff1a1931 \u5e74\uff0c\u54e5\u5fb7\u5c14\u8bc1\u660e\u4e86\u4efb\u4f55\u8db3\u591f\u5f3a\u7684\u516c\u7406\u7cfb\u7edf\u90fd\u65e0\u6cd5\u81ea\u8bc1\u5b8c\u5907\u4e0e\u4e00\u81f4\u6027\uff0c\u8fd9\u4e00\u7ed3\u8bba\u6df1\u523b\u5f71\u54cd\u4e86\u6570\u5b66\u57fa\u7840\u7814\u7a76\u4e0e\u54f2\u5b66\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u903b\u8f91\u4e0e\u6570\u8bba\u3001\u96c6\u5408\u8bba\u7ed3\u5408\uff0c\u50ac\u751f\u4e86\u73b0\u4ee3\u6570\u5b66\u7684\u516c\u7406\u5316\u4f53\u7cfb\uff0c\u4f7f\u5f97\u6570\u5b66\u80fd\u591f\u4ee5\u201c\u4e25\u5bc6\u6027\u201d\u81ea\u7acb\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e8c\u3001\u7eaf\u6570\u5b66\u7684\u7248\u56fe<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">1. \u4ee3\u6570\uff1a\u7b26\u53f7\u4e0e\u7ed3\u6784\u7684\u827a\u672f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ee3\u6570\u6e90\u4e8e\u53e4\u5df4\u6bd4\u4f26\u7684\u65b9\u7a0b\u6c42\u89e3\u65b9\u6cd5\u3002\u201c\u4ee3\u6570\u201d\u4e00\u8bcd\u6765\u81ea\u963f\u62c9\u4f2f\u6570\u5b66\u5bb6\u82b1\u62c9\u5b50\u7c73\u7684\u8457\u4f5c\u300aAl-jabr\u300b\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u521d\u7b49\u4ee3\u6570<\/strong>\uff1a\u7814\u7a76\u89e3\u65b9\u7a0b\u7684\u65b9\u6cd5\uff0c\u662f\u4e2d\u5b66\u6570\u5b66\u7684\u6838\u5fc3\u3002<\/li>\n\n\n\n<li><strong>\u7ebf\u6027\u4ee3\u6570<\/strong>\uff1a19 \u4e16\u7eaa\u53d1\u5c55\u8d77\u6765\u7684\u77e9\u9635\u7406\u8bba\u4e0e\u5411\u91cf\u7a7a\u95f4\uff0c\u4e3a\u73b0\u4ee3\u79d1\u5b66\u8ba1\u7b97\u4e0e\u4eba\u5de5\u667a\u80fd\u63d0\u4f9b\u4e86\u57fa\u7840\u3002<\/li>\n\n\n\n<li><strong>\u62bd\u8c61\u4ee3\u6570<\/strong>\uff1a20 \u4e16\u7eaa\u521d\u9010\u6e10\u6210\u578b\uff0c\u5305\u62ec\u7fa4\u8bba\u3001\u73af\u8bba\u3001\u57df\u8bba\u3002\u7fa4\u8bba\u7531\u4f3d\u7f57\u74e6\u521b\u7acb\uff0c\u7528\u4ee5\u7814\u7a76\u591a\u9879\u5f0f\u65b9\u7a0b\u7684\u89e3\u3002\u5176\u601d\u60f3\u540e\u6765\u5728\u7269\u7406\u5b66\u5bf9\u79f0\u6027\u4e2d\u53d1\u6325\u91cd\u5927\u4f5c\u7528\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ee3\u6570\u7684\u73b0\u4ee3\u65b9\u5411\u5305\u62ec\u8868\u793a\u8bba\u3001\u975e\u4ea4\u6362\u4ee3\u6570\u3001\u674e\u7fa4\u4e0e\u674e\u4ee3\u6570\uff0c\u5e7f\u6cdb\u7528\u4e8e\u91cf\u5b50\u573a\u8bba\u548c\u7c92\u5b50\u7269\u7406\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u51e0\u4f55\uff1a\u7a7a\u95f4\u4e0e\u5f62\u72b6\u7684\u79d1\u5b66<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u51e0\u4f55\u7684\u5b57\u9762\u542b\u4e49\u662f\u201c\u6d4b\u91cf\u5927\u5730\u201d\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u6b27\u51e0\u91cc\u5f97\u51e0\u4f55<\/strong>\uff1a\u4ee5\u300a\u51e0\u4f55\u539f\u672c\u300b\u4e3a\u4ee3\u8868\uff0c2000 \u5e74\u6765\u4e3b\u5bb0\u4eba\u7c7b\u7684\u7a7a\u95f4\u89c2\u3002<\/li>\n\n\n\n<li><strong>\u89e3\u6790\u51e0\u4f55<\/strong>\uff1a17 \u4e16\u7eaa\u7b1b\u5361\u5c14\u5c06\u4ee3\u6570\u4e0e\u51e0\u4f55\u7ed3\u5408\uff0c\u5f15\u5165\u5750\u6807\u7cfb\uff0c\u4e3a\u5fae\u79ef\u5206\u94fa\u5e73\u9053\u8def\u3002<\/li>\n\n\n\n<li><strong>\u975e\u6b27\u51e0\u91cc\u5f97\u51e0\u4f55<\/strong>\uff1a19 \u4e16\u7eaa\uff0c\u9ad8\u65af\u3001\u6d1b\u5df4\u5207\u592b\u65af\u57fa\u3001\u9ece\u66fc\u63d0\u51fa\u65b0\u7684\u51e0\u4f55\u4f53\u7cfb\uff0c\u6700\u7ec8\u6210\u4e3a\u7231\u56e0\u65af\u5766\u5e7f\u4e49\u76f8\u5bf9\u8bba\u7684\u6570\u5b66\u8bed\u8a00\u3002<\/li>\n\n\n\n<li><strong>\u62d3\u6251\u5b66<\/strong>\uff1a\u76ae\u4e9a\u8bfa\u3001\u5e9e\u52a0\u83b1\u5f00\u521b\u7684\u201c\u6a61\u76ae\u51e0\u4f55\u201d\uff0c\u7814\u7a76\u7a7a\u95f4\u5728\u8fde\u7eed\u53d8\u5f62\u4e0b\u7684\u4e0d\u53d8\u91cf\u3002\u5176\u73b0\u4ee3\u5e94\u7528\u6d89\u53ca\u6570\u636e\u79d1\u5b66\u3001\u7f51\u7edc\u79d1\u5b66\u548c\u91cf\u5b50\u8ba1\u7b97\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u51e0\u4f55\u5b66\u7684\u6838\u5fc3\u662f\u4ece\u76f4\u89c2\u7a7a\u95f4\u8d70\u5411\u62bd\u8c61\u7a7a\u95f4\uff0c\u4ece\u4e8c\u7ef4\u4e09\u7ef4\u8d70\u5411\u65e0\u9650\u7ef4\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">3. \u5206\u6790\uff1a\u8fde\u7eed\u4e0e\u6781\u9650\u7684\u4e16\u754c<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5206\u6790\u5b66\u662f\u7814\u7a76\u8fde\u7eed\u53d8\u5316\u7684\u5b66\u79d1\uff0c\u6838\u5fc3\u5de5\u5177\u662f\u6781\u9650\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u5fae\u79ef\u5206<\/strong>\uff1a\u725b\u987f\u4e0e\u83b1\u5e03\u5c3c\u8328\u72ec\u7acb\u53d1\u5c55\uff0c\u6210\u4e3a\u63cf\u8ff0\u7269\u7406\u8fd0\u52a8\u4e0e\u81ea\u7136\u89c4\u5f8b\u7684\u5f3a\u5927\u5de5\u5177\u3002<\/li>\n\n\n\n<li><strong>\u5b9e\u5206\u6790<\/strong>\uff1a19 \u4e16\u7eaa\u67ef\u897f\u3001\u9b4f\u5c14\u65af\u7279\u62c9\u65af\u5efa\u7acb\u6781\u9650\u4e0e\u6536\u655b\u7684\u4e25\u683c\u5b9a\u4e49\uff0c\u4f7f\u5fae\u79ef\u5206\u83b7\u5f97\u575a\u5b9e\u57fa\u7840\u3002<\/li>\n\n\n\n<li><strong>\u590d\u5206\u6790<\/strong>\uff1a\u7814\u7a76\u590d\u53d8\u51fd\u6570\u7684\u6027\u8d28\uff0c\u9ece\u66fc\u4e0e\u67ef\u897f\u7684\u5de5\u4f5c\u63ed\u793a\u4e86\u590d\u5e73\u9762\u7684\u4e30\u5bcc\u7ed3\u6784\u3002<\/li>\n\n\n\n<li><strong>\u6cdb\u51fd\u5206\u6790<\/strong>\uff1a20 \u4e16\u7eaa\u521d\u5174\u8d77\uff0c\u7814\u7a76\u65e0\u9650\u7ef4\u7a7a\u95f4\u4e0e\u7b97\u5b50\uff0c\u662f\u91cf\u5b50\u529b\u5b66\u6570\u5b66\u5316\u7684\u6839\u57fa\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u73b0\u4ee3\u5206\u6790\u5728\u504f\u5fae\u5206\u65b9\u7a0b\u3001\u968f\u673a\u8fc7\u7a0b\u3001\u53d8\u5206\u6cd5\u4e2d\u5f97\u5230\u5e7f\u6cdb\u5e94\u7528\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">4. \u6570\u8bba\uff1a\u6574\u6570\u7684\u5965\u79d8<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u6570\u8bba\u4ece\u53e4\u5e0c\u814a\u7684\u6b27\u51e0\u91cc\u5f97\u300a\u51e0\u4f55\u539f\u672c\u300b\u7b2c\u4e5d\u5377\u5f00\u59cb\uff0c\u53d1\u5c55\u81f3\u4eca\u5df2\u6709\u4e24\u5343\u4f59\u5e74\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u521d\u7b49\u6570\u8bba<\/strong>\uff1a\u7814\u7a76\u7d20\u6570\u5206\u5e03\u3001\u540c\u4f59\u7406\u8bba\u3002<\/li>\n\n\n\n<li><strong>\u4ee3\u6570\u6570\u8bba<\/strong>\uff1a\u9ad8\u65af\u5f15\u5165\u4e8c\u6b21\u4e92\u53cd\u5f8b\uff0c\u514b\u7f57\u5185\u514b\u4e0e\u6234\u5fb7\u91d1\u53d1\u5c55\u4e86\u4ee3\u6570\u6574\u6570\u73af\u3002<\/li>\n\n\n\n<li><strong>\u89e3\u6790\u6570\u8bba<\/strong>\uff1a\u72c4\u5229\u514b\u96f7\u3001\u9ece\u66fc\u7b49\u4eba\u5f15\u5165\u590d\u5206\u6790\u65b9\u6cd5\u7814\u7a76\u7d20\u6570\u5206\u5e03\uff0c\u9ece\u66fc\u731c\u60f3\u81f3\u4eca\u4ecd\u662f\u672a\u89e3\u4e4b\u8c1c\u3002<\/li>\n\n\n\n<li><strong>\u73b0\u4ee3\u5e94\u7528<\/strong>\uff1aRSA \u52a0\u5bc6\u3001\u692d\u5706\u66f2\u7ebf\u5bc6\u7801\u3001\u533a\u5757\u94fe\u5b89\u5168\u90fd\u5efa\u7acb\u5728\u6570\u8bba\u96be\u9898\u4e4b\u4e0a\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u6570\u8bba\u88ab\u8a89\u4e3a\u201c\u6570\u5b66\u7684\u5973\u738b\u201d\uff0c\u5176\u7eaf\u7cb9\u6027\u4e0e\u5e94\u7528\u6027\u5e76\u5b58\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">5. \u7ec4\u5408\u6570\u5b66\uff1a\u79bb\u6563\u7ed3\u6784\u7684\u7814\u7a76<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u7ec4\u5408\u6570\u5b66\u7814\u7a76\u6709\u9650\u96c6\u5408\u7684\u6392\u5217\u7ec4\u5408\u4e0e\u7ed3\u6784\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u7ecf\u5178\u95ee\u9898<\/strong>\uff1a\u5982\u201c\u4e03\u6865\u95ee\u9898\u201d\uff0c\u50ac\u751f\u4e86\u56fe\u8bba\u3002<\/li>\n\n\n\n<li><strong>\u6982\u7387\u8bba\u57fa\u7840<\/strong>\uff1a\u7ec4\u5408\u4e3a\u6982\u7387\u8ba1\u7b97\u63d0\u4f9b\u5de5\u5177\u3002<\/li>\n\n\n\n<li><strong>\u73b0\u4ee3\u5e94\u7528<\/strong>\uff1a\u7f16\u7801\u7406\u8bba\u3001\u7f51\u7edc\u8bbe\u8ba1\u3001\u4f18\u5316\u7b97\u6cd5\u3002<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u7ec4\u5408\u6570\u5b66\u56e0\u8ba1\u7b97\u673a\u79d1\u5b66\u7684\u5d1b\u8d77\u800c\u65e5\u76ca\u91cd\u8981\uff0c\u6210\u4e3a\u7406\u8bba\u8ba1\u7b97\u673a\u79d1\u5b66\u7684\u6838\u5fc3\u5de5\u5177\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e09\u3001\u5e94\u7528\u6570\u5b66\u7684\u5e7f\u9614\u5929\u5730<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">1. \u6982\u7387\u4e0e\u7edf\u8ba1<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u6982\u7387\u8bba<\/strong>\uff1a\u5e15\u65af\u5361\u4e0e\u8d39\u9a6c\u4e3a\u8d4c\u535a\u95ee\u9898\u5efa\u7acb\u7406\u8bba\uff0c\u79d1\u5c14\u83ab\u54e5\u6d1b\u592b\u5728 20 \u4e16\u7eaa\u7ed9\u51fa\u516c\u7406\u5316\u4f53\u7cfb\u3002<\/li>\n\n\n\n<li><strong>\u7edf\u8ba1\u5b66<\/strong>\uff1a\u6e90\u4e8e\u793e\u4f1a\u8c03\u67e5\u4e0e\u751f\u7269\u9057\u4f20\u7814\u7a76\uff0c\u8d39\u820d\u5c14\u7b49\u4eba\u53d1\u5c55\u4e86\u73b0\u4ee3\u63a8\u65ad\u65b9\u6cd5\u3002<\/li>\n\n\n\n<li><strong>\u73b0\u4ee3\u5e94\u7528<\/strong>\uff1a\u673a\u5668\u5b66\u4e60\u3001\u4eba\u5de5\u667a\u80fd\u3001\u98ce\u9669\u63a7\u5236\u5747\u4f9d\u8d56\u6982\u7387\u7edf\u8ba1\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u8ba1\u7b97\u6570\u5b66<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u6570\u503c\u5206\u6790<\/strong>\uff1a\u6c42\u89e3\u65b9\u7a0b\u8fd1\u4f3c\u89e3\uff0c\u725b\u987f\u8fed\u4ee3\u6cd5\u662f\u7ecf\u5178\u7b97\u6cd5\u3002<\/li>\n\n\n\n<li><strong>\u7b97\u6cd5\u590d\u6742\u6027<\/strong>\uff1a\u56fe\u7075\u4e0e\u4e18\u5947\u5efa\u7acb\u53ef\u8ba1\u7b97\u6027\u7406\u8bba\uff0c\u5960\u5b9a\u8ba1\u7b97\u673a\u79d1\u5b66\u6570\u5b66\u57fa\u7840\u3002<\/li>\n\n\n\n<li><strong>\u9ad8\u6027\u80fd\u8ba1\u7b97<\/strong>\uff1a\u652f\u6491\u6c14\u8c61\u6a21\u62df\u3001\u5de5\u7a0b\u8bbe\u8ba1\u4e0e\u5929\u4f53\u7269\u7406\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">3. \u6570\u5b66\u5728\u5b66\u79d1\u4e2d\u7684\u6e17\u900f<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u91d1\u878d\u6570\u5b66<\/strong>\uff1a\u5e03\u83b1\u514b-\u65af\u79d1\u5c14\u65af\u65b9\u7a0b\u4e3a\u73b0\u4ee3\u91d1\u878d\u884d\u751f\u54c1\u5b9a\u4ef7\u63d0\u4f9b\u6a21\u578b\u3002<\/li>\n\n\n\n<li><strong>\u5de5\u7a0b\u6570\u5b66<\/strong>\uff1a\u63a7\u5236\u8bba\u3001\u4fe1\u53f7\u5904\u7406\u5e7f\u6cdb\u4f7f\u7528\u5085\u91cc\u53f6\u5206\u6790\u4e0e\u7ebf\u6027\u7cfb\u7edf\u7406\u8bba\u3002<\/li>\n\n\n\n<li><strong>\u751f\u7269\u6570\u5b66<\/strong>\uff1aLotka-Volterra \u6a21\u578b\u63cf\u8ff0\u6355\u98df\u8005\u4e0e\u88ab\u6355\u98df\u8005\u7684\u79cd\u7fa4\u52a8\u6001\u3002<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u56db\u3001\u6570\u5b66\u7684\u4ea4\u53c9\u4e0e\u672a\u6765<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">1. \u6570\u5b66\u4e0e\u7269\u7406<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u5e7f\u4e49\u76f8\u5bf9\u8bba<\/strong>\uff1a\u9ece\u66fc\u51e0\u4f55\u6210\u4e3a\u63cf\u8ff0\u65f6\u7a7a\u5f2f\u66f2\u7684\u8bed\u8a00\u3002<\/li>\n\n\n\n<li><strong>\u91cf\u5b50\u529b\u5b66<\/strong>\uff1a\u5e0c\u5c14\u4f2f\u7279\u7a7a\u95f4\u4e0e\u7b97\u5b50\u7406\u8bba\u662f\u5176\u6570\u5b66\u6846\u67b6\u3002<\/li>\n\n\n\n<li><strong>\u5f26\u7406\u8bba<\/strong>\uff1a\u63a8\u52a8\u4ee3\u6570\u51e0\u4f55\u3001\u62d3\u6251\u5b66\u7684\u65b0\u53d1\u5c55\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u6570\u5b66\u4e0e\u8ba1\u7b97\u673a\u79d1\u5b66<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u7b97\u6cd5<\/strong>\uff1a\u56fe\u8bba\u4e0e\u7ec4\u5408\u6570\u5b66\u63d0\u4f9b\u57fa\u7840\u3002<\/li>\n\n\n\n<li><strong>\u4eba\u5de5\u667a\u80fd<\/strong>\uff1a\u7ebf\u6027\u4ee3\u6570\u3001\u6982\u7387\u8bba\u3001\u4f18\u5316\u65b9\u6cd5\u662f\u6df1\u5ea6\u5b66\u4e60\u7684\u6838\u5fc3\u3002<\/li>\n\n\n\n<li><strong>\u5bc6\u7801\u5b66<\/strong>\uff1a\u6570\u8bba\u4e0e\u4ee3\u6570\u7684\u73b0\u4ee3\u5e94\u7528\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">3. \u6570\u5b66\u4e0e\u751f\u547d\u79d1\u5b66<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u57fa\u56e0\u7ec4\u5b66<\/strong>\uff1a\u7edf\u8ba1\u5b66\u4e0e\u7ec4\u5408\u65b9\u6cd5\u5206\u6790 DNA \u5e8f\u5217\u3002<\/li>\n\n\n\n<li><strong>\u795e\u7ecf\u79d1\u5b66<\/strong>\uff1a\u52a8\u529b\u7cfb\u7edf\u7406\u8bba\u89e3\u91ca\u795e\u7ecf\u5143\u7f51\u7edc\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">4. \u672a\u6765\u5c55\u671b<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u91cf\u5b50\u8ba1\u7b97\u6570\u5b66<\/strong>\uff1a\u63a2\u7d22\u65b0\u578b\u4ee3\u6570\u4e0e\u62d3\u6251\u5de5\u5177\u3002<\/li>\n\n\n\n<li><strong>\u5927\u6570\u636e\u6570\u5b66<\/strong>\uff1a\u9ad8\u7ef4\u7edf\u8ba1\u4e0e\u62d3\u6251\u6570\u636e\u5206\u6790\u6210\u4e3a\u524d\u6cbf\u3002<\/li>\n\n\n\n<li><strong>\u8de8\u5b66\u79d1\u878d\u5408<\/strong>\uff1a\u6570\u5b66\u6b63\u5728\u6210\u4e3a\u7406\u89e3\u590d\u6742\u7cfb\u7edf\u7684\u901a\u7528\u8bed\u8a00\u3002<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u7ed3\u8bed<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u6570\u5b66\u7684\u53d1\u5c55\u5386\u7a0b\uff0c\u4ece\u6570\u4e0e\u903b\u8f91\u7684\u8d77\u70b9\uff0c\u5230\u7eaf\u6570\u5b66\u7684\u62bd\u8c61\u63a2\u7d22\uff0c\u518d\u5230\u5e94\u7528\u6570\u5b66\u7684\u5e7f\u9614\u5b9e\u8df5\uff0c\u6700\u7ec8\u6784\u6210\u4e86\u4e00\u5f20\u5e9e\u5927\u7684\u77e5\u8bc6\u7f51\u7edc\u3002<strong>\u300aThe Map of Mathematics\u300b<\/strong> \u6240\u5448\u73b0\u7684\uff0c\u6b63\u662f\u4e00\u79cd\u5168\u666f\u5f0f\u7684\u5b66\u672f\u56fe\u666f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6570\u5b66\u4e0d\u4ec5\u662f\u79d1\u5b66\u7684\u8bed\u8a00\uff0c\u66f4\u662f\u4e00\u79cd\u4eba\u7c7b\u6587\u660e\u7684\u8868\u8fbe\u65b9\u5f0f\u3002\u4ece\u53e4\u4ee3\u7684\u51e0\u4f55\u6d4b\u5730\uff0c\u5230\u73b0\u4ee3\u7684\u4eba\u5de5\u667a\u80fd\u4e0e\u91cf\u5b50\u8ba1\u7b97\uff0c\u6570\u5b66\u59cb\u7ec8\u626e\u6f14\u7740\u8fde\u63a5\u601d\u60f3\u4e0e\u73b0\u5b9e\u7684\u6865\u6881\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u672a\u6765\uff0c\u968f\u7740\u79d1\u6280\u7684\u4e0d\u65ad\u8fdb\u6b65\uff0c\u6570\u5b66\u7684\u5730\u56fe\u5fc5\u5c06\u7ee7\u7eed\u6269\u5c55\uff0c\u51fa\u73b0\u65b0\u7684\u9886\u57df\u4e0e\u4ea4\u53c9\u70b9\u3002\u800c\u5bf9\u4e8e\u5b66\u4e60\u8005\u800c\u8a00\uff0c\u8fd9\u5f20\u5730\u56fe\u65e2\u662f\u4e00\u4efd\u6307\u5357\uff0c\u4e5f\u662f\u4e00\u6b21\u9080\u8bf7\uff1a\u9080\u8bf7\u6211\u4eec\u8fdb\u5165\u4e00\u4e2a\u65e0\u7a77\u65e0\u5c3d\u7684\u77e5\u8bc6\u5b87\u5b99\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5f15\u8a00 \u5982\u679c\u8981\u7528\u4e00\u53e5\u8bdd\u6765\u5b9a\u4e49\u6570\u5b66\uff0c\u90a3\u4e48\u5b83\u65e2\u662f\u4e00\u95e8\u5173\u4e8e\u6570\u91cf\u3001\u7ed3\u6784\u3001\u53d8\u5316\u4e0e\u7a7a\u95f4\u7684\u79d1\u5b66\uff0c\u4e5f\u662f\u4e00\u79cd\u8ffd\u6c42\u7edd\u5bf9\u4e25\u5bc6\u6027\u7684\u903b\u8f91\u4f53 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_import_markdown_pro_load_document_selector":0,"_import_markdown_pro_submit_text_textarea":"","footnotes":""},"categories":[80],"tags":[],"class_list":["post-7300","post","type-post","status-publish","format-standard","hentry","category-article","entry"],"_links":{"self":[{"href":"https:\/\/www.xinyixx.com\/index.php\/wp-json\/wp\/v2\/posts\/7300","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.xinyixx.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.xinyixx.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.xinyixx.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.xinyixx.com\/index.php\/wp-json\/wp\/v2\/comments?post=7300"}],"version-history":[{"count":1,"href":"https:\/\/www.xinyixx.com\/index.php\/wp-json\/wp\/v2\/posts\/7300\/revisions"}],"predecessor-version":[{"id":7301,"href":"https:\/\/www.xinyixx.com\/index.php\/wp-json\/wp\/v2\/posts\/7300\/revisions\/7301"}],"wp:attachment":[{"href":"https:\/\/www.xinyixx.com\/index.php\/wp-json\/wp\/v2\/media?parent=7300"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.xinyixx.com\/index.php\/wp-json\/wp\/v2\/categories?post=7300"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.xinyixx.com\/index.php\/wp-json\/wp\/v2\/tags?post=7300"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}