{"id":1681,"date":"2022-02-16T14:50:26","date_gmt":"2022-02-16T06:50:26","guid":{"rendered":"https:\/\/aif.amtbbs.org\/?p=1681"},"modified":"2022-02-16T14:50:26","modified_gmt":"2022-02-16T06:50:26","slug":"%e6%95%b0%e5%ad%a6%e5%8f%b2%e5%92%8c%e6%95%b0%e5%ad%a6%e6%95%99%e8%82%b2%ef%bc%9a%e4%b8%aa%e4%ba%ba%e7%9a%84%e7%bb%8f%e9%aa%8c%e5%92%8c%e7%9c%8b%e6%b3%95","status":"publish","type":"post","link":"https:\/\/aif.amtbbs.org\/index.php\/2022\/02\/16\/1681\/","title":{"rendered":"\u200b\u6570\u5b66\u53f2\u548c\u6570\u5b66\u6559\u80b2\uff1a\u4e2a\u4eba\u7684\u7ecf\u9a8c\u548c\u770b\u6cd5"},"content":{"rendered":"<section><strong>\u64b0\u6587\u00a0|\u00a0<\/strong><strong>\u8427\u6587\u5f3a<\/strong>\uff08\u9999\u6e2f\u5927\u5b66\u6570\u5b66\u7cfb\uff09<\/section>\n<section data-tools=\"135\u7f16\u8f91\u5668\" data-id=\"98563\">\n<section>\n<section>\n<section>\n<section><img decoding=\"async\" class=\"rich_pages wxw-img\" src=\"https:\/\/mmbiz.qpic.cn\/mmbiz_png\/0y3PSDNh0J8xB0TSzhicibDQuyTGzZoL0dGGX9nQfr91tSt1ewVsMYdgSWM7WCCSkWBJiaOYnJ57YqonaLxNZ3TFQ\/640?wx_fmt=png&amp;tp=webp&amp;wxfrom=5&amp;wx_lazy=1&amp;wx_co=1\" alt=\"\u56fe\u7247\" crossorigin=\"anonymous\" data-ratio=\"1\" data-type=\"png\" data-w=\"24\" data-width=\"100%\" data-src=\"https:\/\/mmbiz.qpic.cn\/mmbiz_png\/0y3PSDNh0J8xB0TSzhicibDQuyTGzZoL0dGGX9nQfr91tSt1ewVsMYdgSWM7WCCSkWBJiaOYnJ57YqonaLxNZ3TFQ\/640?wx_fmt=png\" data-fail=\"0\" \/><\/section>\n<section><span title=\"\" data-original-title=\"\"><strong>1<\/strong><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<p><strong>\u6211\u600e\u6837\u8dd1\u8fdb\u6570\u5b66\u53f2\u6253\u8f6c\uff1f<\/strong><\/p>\n<section>1974\u5e74\u590f\uff0c\u6211\u5728\u7f8e\u56fd\u4e00\u6240\u5927\u5b66\u91cc\u6559\u4e66\u3002\u6709\u4e00\u5929\u7cfb\u4e3b\u4efb\u5306\u5306\u8dd1\u6765\u544a\u8bc9\u6211\u6709\u4f4d\u540c\u4e8b\u6454\u5012\u65ad\u4e86\u817f\uff0c\u5f97\u4f11\u517b\u4e00\u6bb5\u65e5\u5b50\uff0c\u53eb\u6211\u4ee3\u4ed6\u7684\u8bfe\u3002\u6ca1\u6709\u522b\u7684\u4eba\u613f\u62c5\u90a3\u95e8\u8bfe\uff0c\u5f53\u65f6\u6211\u521a\u5230\u4efb\u4e24\u5e74\uff0c\u8bba\u5e74\u8d44\u4e43\u6700\u6d45\uff0c\u201c\u82e6\u5dee\u201d\u81ea\u7136\u843d\u5728\u6211\u7684\u80a9\u4e0a\uff01\u4e3a\u4ec0\u4e48\u6ca1\u6709\u4eba\u613f\u62c5\u90a3\u95e8\u8bfe\u5462\uff1f\u539f\u6765\u90a3\u95e8\u201c\u6570\u5b66\u6b23\u8d4f\u201d\u8bfe\u867d\u7136\u540d\u5b57\u6f02\u4eae\u52a8\u542c\uff0c\u5b9e\u5219\u662f\u4e00\u95e8\u4e13\u4e3a\u975e\u7406\u5de5\u79d1\u5b66\u751f\u800c\u8bbe\u7684\u6570\u5b66\u8bfe\uff0c\u597d\u8ba9\u5b66\u751f\u53d6\u5f97\u8db3\u591f\u5b66\u5206\u4ee5\u6ee1\u8db3\u901a\u8bc6\u6559\u80b2\u7684\u8981\u6c42\uff0c\u628a\u5b83\u79f0\u4f5c\u201c\u538c\u6076\u6570\u5b66\u7684\u4eba\u88ab\u8feb\u4e0a\u7684\u6570\u5b66\u8bfe\u201d\uff0c\u6216\u66f4\u8d34\u5207\uff01\u7b2c\u4e00\u5929\u4e0a\u8bfe\uff0c\u4e00\u767e\u4e94\u5341\u591a\u4f4d\u5b66\u751f\u5288\u5934\u4fbf\u56b7\uff1a\u201c\u6211\u53c8\u4e0d\u9700\u8981\u4f7f\u7528\u6570\u5b66\uff0c\u4e3a\u4ec0\u4e48\u8981\u5b66\u4e60\u6570\u5b66\uff1f\u201d\u987f\u65f6\u4ee4\u6211\u54d1\u53e3\u65e0\u8a00\uff01\u4f46\u8fd9\u4e5f\u4ee4\u6211\u9996\u6b21\u4ece\u4e00\u4e2a\u4e0d\u9700\u8981\u4f7f\u7528\u6570\u5b66\u4f5c\u4e3a\u5de5\u5177\u7684\u4eba\u7684\u773c\u5149\u53bb\u60f3\u8fd9\u4e2a\u95ee\u9898\u3002\uff08\u8fc7\u4e86\u56db\u5e74\u540e\uff0c\u6211\u771f\u7684\u5199\u4e86\u4e00\u672c\u5c0f\u4e66\uff0c\u4e66\u540d\u5c31\u53eb\u505a\u300a\u4e3a\u4ec0\u4e48\u8981\u5b66\u4e60\u6570\u5b66\uff1f\u300b\uff0c\u8bb0\u4e0b\u4e86\u5f53\u65f6\u6211\u7684\u521d\u6b65\u770b\u6cd5\u3002\uff09<\/section>\n<section><\/section>\n<section>\u4e3a\u4e86\u5e94\u4ed8\u201c\u82e6\u5dee\u201d\uff0c\u5728\u4e5d\u6708\u5f00\u8bfe\u524d\u6211\u201c\u6076\u8865\u201d\u4e00\u756a\uff0c\u62fc\u547d\u8bfb\u4e66\u505a\u7b14\u8bb0\uff0c\u53c8\u53cd\u590d\u601d\u91cf\u3002\u7ecf\u8fc7\u6d88\u5316\u5927\u91cf\u6750\u6599\u540e\uff0c\u6211\u8ba4\u8bc6\u5230\u54f2\u5b66\u7684\u7701\u601d\u548c\u5386\u53f2\u7684\u7701\u601d\u7684\u91cd\u8981\uff0c\u5c24\u5176\u4ece\u6570\u5b66\u53f2\u83b7\u5f97\u4e0d\u5c11\u542f\u53d1\u3002\u6e10\u6e10\u6211\u4e0d\u5355\u4e3a\u5907\u8bfe\u800c\u770b\u4e66\u4e86\uff0c\u540e\u6765\u5b83\u66f4\u6210\u4e3a\u4e00\u79cd\u5b66\u4e60\u5174\u8da3\uff0c\u81f3\u4eca\u4e0d\u51cf\u5206\u6beb\u3002\u66f4\u60f3\u4e0d\u5230\u7684\uff0c\u8fd9\u79cd\u5174\u8da3\u7adf\u7136\u5b55\u80b2\u4e86\u4e00\u79cd\u9f13\u821e\uff0c\u4e0d\u53ea\u4f7f\u6211\u5bf9\u6570\u5b66\u7684\u6574\u4f53\u8ba4\u8bc6\u5f97\u5230\u63d0\u9ad8\uff0c\u8fd8\u4f7f\u6211\u5bf9\u6570\u5b66\u7684\u4fe1\u5ff5\u548c\u70ed\u7231\u5f97\u5230\u589e\u5f3a\u3002\u770b\u6765\uff0c\u201c\u82e6\u5dee\u201d\u7adf\u6210\u4e86\u201c\u4f18\u5dee\u201d\u5462\uff01<\/section>\n<section data-tools=\"135\u7f16\u8f91\u5668\" data-id=\"98563\">\n<section>\n<section>\n<section>\n<section><img decoding=\"async\" class=\"rich_pages wxw-img\" src=\"https:\/\/mmbiz.qpic.cn\/mmbiz_png\/0y3PSDNh0J8xB0TSzhicibDQuyTGzZoL0dGGX9nQfr91tSt1ewVsMYdgSWM7WCCSkWBJiaOYnJ57YqonaLxNZ3TFQ\/640?wx_fmt=png&amp;tp=webp&amp;wxfrom=5&amp;wx_lazy=1&amp;wx_co=1\" alt=\"\u56fe\u7247\" crossorigin=\"anonymous\" data-ratio=\"1\" data-type=\"png\" data-w=\"24\" data-width=\"100%\" data-src=\"https:\/\/mmbiz.qpic.cn\/mmbiz_png\/0y3PSDNh0J8xB0TSzhicibDQuyTGzZoL0dGGX9nQfr91tSt1ewVsMYdgSWM7WCCSkWBJiaOYnJ57YqonaLxNZ3TFQ\/640?wx_fmt=png\" data-fail=\"0\" \/><\/section>\n<section><strong>2<\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<p><strong>\u8c01\u9700\u8981\u6570\u5b66\u53f2\uff1f<\/strong><\/p>\n<section>\u201c\u8c01\u9700\u8981\u6570\u5b66\u53f2\uff1f\u201d\u548c\u201c\u8c01\u9700\u8981\u6570\u5b66\u53f2\uff01\u201d\u8868\u660e\u4e86\u4e24\u79cd\u4e0d\u540c\u7684\u6001\u5ea6\uff0c\u524d\u8005\u610f\u5473\u5f00\u653e\u7684\u63a2\u8ba8\uff0c\u540e\u8005\u610f\u5473\u65e2\u5b9a\u7684\u5426\u5b9a\u770b\u6cd5\u3002\u5f52\u6839\u7ed3\u5e95\uff0c\u8fd9\u4e24\u79cd\u4e0d\u540c\u7684\u6001\u5ea6\uff0c\u5176\u5b9e\u53cd\u6620\u4e86\u4e0d\u540c\u7684\u201c\u6570\u5b66\u89c2\u201d\uff0c\u5728\u7b2c\u56db\u8282\u6211\u4eec\u8981\u56de\u5230\u8fd9\u4e00\u70b9\u3002\u6682\u65f6\uff0c\u8ba9\u6211\u4eec\u5f00\u95e8\u89c1\u5c71\uff0c\u80ea\u5217\u4e00\u4e9b\u8fd0\u7528\u6570\u5b66\u53f2\u4e8e\u6570\u5b66\u6559\u5b66\u7684\u7406\u7531\u548c\u65b9\u6cd5\u3002\u8fd9\u4e9b\u89c2\u70b9\u6563\u89c1\u8bf8\u4e3a\u6570\u4e0d\u7b97\u592a\u5c11\u7684\u4e2d\u897f\u6587\u7ae0\uff0c\u6055\u6211\u4e0d\u4e00\u4e00\u5217\u660e\u51fa\u5904\u4e86\u3002\u4ee5\u4e0b\u7684\u603b\u7ed3\uff0c\u53d6\u6750\u81eaJ.Fauvel\u7684\u6587\u7ae0\u201cUsing History in Mathematics Education\u201d\uff08\u520a\u4e8eFor the Learning of Mathematics\uff0cVol.11\uff0cNo.2\uff0c1991\uff0c3- 6\u9875\uff09\uff0c\u6211\u8bd5\u628a\u5185\u5bb9\u6574\u7406\u4e3a\u4ee5\u4e0b\u51e0\u70b9\u3002<\/section>\n<section><\/section>\n<p>\u8fd0\u7528\u6570\u5b66\u53f2\u4e8e\u6570\u5b66\u6559\u80b2\u7684\u7406\u7531\uff1a<\/p>\n<section>\uff081\uff09\u5f15\u53d1\u5b66\u4e60\u52a8\u673a\uff0c\u4ece\u800c\u4f7f\u5b66\u751f\uff08\u53ca\u6559\u5e08\u672c\u4eba\uff09\u4fdd\u6301\u5bf9\u6570\u5b66\u7684\u5174\u8da3\u548c\u70ed\u60c5\u3002<\/section>\n<section>\uff082\uff09\u4e3a\u6570\u5b66\u5e73\u6dfb\u201c\u4eba\u60c5\u5473\u201d\uff0c\u4f7f\u5b83\u6613\u4e8e\u4eb2\u8fd1\u3002\u4e5f\u4f7f\u5b66\u751f\u660e\u767d\u524d\u4eba\u521b\u4e1a\u7684\u8270\u8f9b\uff0c\u5e76\u4e14\u660e\u767d\u5230\u4e0d\u5e94\u628a\u81ea\u5df1\u78b0\u5230\u7684\u5b66\u4e60\u56f0\u96be\u5f52\u548e\u4e8e\u81ea\u5df1\u611a\u7b28\u3002\u540c\u65f6\uff0c\u6559\u5e08\u4e5f\u53ef\u4ee5\u4ece\u5386\u53f2\u53d1\u5c55\u4e2d\u7684\u7eca\u811a\u77f3\u4e86\u89e3\u5b66\u751f\u7684\u5b66\u4e60\u56f0\u96be\uff0c\u53ef\u4ee5\u53c2\u8003\u5386\u53f2\u53d1\u5c55\u4f5c\u4e3a\u8ba1\u5212\u8bfe\u9898\u5b89\u6392\u7684\u6307\u5f15\u3002\uff08\u5728\u8fd9\u513f\u8981\u63d0\u9192\u4e00\u70b9\uff0c\u53c2\u8003\u5386\u53f2\u53d1\u5c55\u4f5c\u4e3a\u6307\u5f15\uff0c\u7edd\u4e0d\u7b49\u540c\u5b8c\u5168\u6309\u5386\u53f2\u53d1\u5c55\u53bb\u8bb2\u6388\uff0c\u56e0\u4e3a\u771f\u6b63\u7684\u5386\u53f2\u53d1\u5c55\u6709\u65f6\u975e\u5e38\u8fc2\u56de\u66f2\u6298\uff0c\u540e\u4eba\u89c6\u4e4b\uff0c\u5f80\u5f80\u96be\u4ee5\u7406\u89e3\uff01\uff09<\/section>\n<section>\uff083\uff09\u4e86\u89e3\u6570\u5b66\u601d\u60f3\u53d1\u5c55\u8fc7\u7a0b\uff0c\u80fd\u589e\u8fdb\u7406\u89e3\u3002\u5bf9\u6bd4\u53e4\u4eca\uff0c\u80fd\u66f4\u597d\u660e\u767d\u73b0\u4ee3\u7406\u8bba\u548c\u6280\u5de7\u7684\u4f18\u70b9\u3002<\/section>\n<section>\uff084\uff09\u5bf9\u6570\u5b66\u6574\u4f53\u6709\u8f83\u5168\u9762\u7684\u770b\u6cd5\u548c\u8ba4\u8bc6\u3002<\/section>\n<section>\uff085\uff09\u6e17\u900f\u591a\u5143\u6587\u5316\u89c2\u70b9\uff0c\u4e86\u89e3\u6570\u5b66\u4e0e\u793e\u4f1a\u53d1\u5c55\u7684\u5173\u7cfb\uff0c\u5e76\u63d0\u4f9b\u8de8\u79d1\u5408\u4f5c\u7684\u901a\u8bc6\u6559\u80b2\u3002<\/section>\n<p>\uff086\uff09\u6570\u5b66\u53f2\u63d0\u4f9b\u5b66\u751f\u8fdb\u4e00\u6b65\u63a2\u7d22\u7684\u673a\u4f1a\u548c\u7d20\u6750\u3002<\/p>\n<section><\/section>\n<p>\u8fd0\u7528\u6570\u5b66\u53f2\u4e8e\u6570\u5b66\u6559\u80b2\u7684\u65b9\u6cd5\uff1a<\/p>\n<section>\uff081\uff09\u5728\u8bb2\u8bfe\u4e2d\u52a0\u63d2\u6570\u5b66\u5bb6\u7684\u8f76\u4e8b\u548c\u8a00\u884c\u3002<\/section>\n<section>\uff082\uff09\u5f00\u59cb\u8bb2\u6388\u67d0\u4e2a\u6570\u5b66\u6982\u5ff5\u65f6\uff0c\u5148\u4ecb\u7ecd\u5b83\u7684\u5386\u53f2\u53d1\u5c55\u3002<\/section>\n<section>\uff083\uff09\u4ee5\u6570\u5b66\u53f2\u4e0a\u7684\u540d\u9898\u53ca\u5176\u89e3\u7b54\u53bb\u8bb2\u6388\u6709\u5173\u7684\u6570\u5b66\u6982\u5ff5\uff0c\u4ee5\u6570\u5b66\u53f2\u4e0a\u7684\u5173\u952e\u4e8b\u4f8b\u53bb\u8bf4\u660e\u6709\u5173\u7684\u6280\u5de7\u65b9\u6cd5\uff0c\u4ee5\u6570\u5b66\u53f2\u4e0a\u7684\u8457\u540d\u9519\u8bef\u6216\u8bef\u89e3\u53bb\u5e2e\u52a9\u5b66\u751f\u514b\u670d\u5b66\u4e60\u56f0\u96be\u3002<\/section>\n<section>\uff084\uff09\u5229\u7528\u539f\u8457\u6570\u5b66\u6587\u732e\u8bbe\u8ba1\u8bfe\u5802\u4e60\u4f5c\u3002<\/section>\n<section>\uff085\uff09\u6307\u5bfc\u5b66\u751f\u5236\u4f5c\u5bcc\u6570\u5b66\u53f2\u5174\u5473\u7684\u5899\u62a5\u3001\u4e13\u9898\u63a2\u8ba8\u3001\u7279\u8f91\u3001\u751a\u81f3\u620f\u5267\u3001\u5f55\u50cf\u3001\u2026\u2026<\/section>\n<section>\uff086\uff09\u5728\u8bfe\u7a0b\u5185\u5bb9\u91cc\u6e17\u900f\u5386\u53f2\u53d1\u5c55\u89c2\u70b9\u3002<\/section>\n<section>\uff087\uff09\u4ee5\u6570\u5b66\u53f2\u4f5c\u6307\u5f15\u53bb\u8bbe\u8ba1\u6574\u4f53\u8bfe\u7a0b\u3002<\/section>\n<p>\uff088\uff09\u8bb2\u6388\u6570\u5b66\u53f2\u7684\u8bfe\u3002<\/p>\n<section><\/section>\n<section>\u4e0e\u5176\u628a\u4ee5\u4e0a\u9010\u70b9\u8be6\u52a0\u89e3\u91ca\uff0c\u4e0d\u5982\u8ba9\u6211\u4ece\u4e2a\u4eba\u7ecf\u9a8c\u4e2d\u62bd\u53d6\u4e00\u4e9b\u4e8b\u4f8b\uff0c\u8bf4\u660e\u5982\u4f55\u5728\u6559\u5b66\u4e0a\u8fd0\u7528\u6570\u5b66\u53f2\u3002\u56fa\u7136\uff0c\u8fd9\u4e9b\u4e2a\u4eba\u7684\u505a\u6cd5\uff0c\u53ef\u80fd\u5931\u8bf8\u7247\u9762\uff0c\u4e5f\u53ef\u80fd\u6d41\u4e8e\u4e3b\u89c2\uff0c\u4f46\u6216\u8bb8\u4ecd\u80fd\u8d77\u4e00\u70b9\u53c2\u8003\u4f5c\u7528\u5427\u3002\u5728\u4e0b\u4e00\u8282\u6211\u53ea\u5217\u4e3e\u5728\u5176\u4e2d\u53d6\u6750\u7684\u4e66\u672c\u6216\u6587\u7ae0\uff0c\u9002\u5f53\u5730\u52a0\u70b9\u6309\u8bed\u3002\u8fd9\u675f\u4e8b\u4f8b\u662f\u5728\u4e0d\u540c\u7684\u8bfe\u4e0a\u8fd0\u7528\uff0c\u5982\u679c\u8bfb\u8005\u611f\u89c9\u53d9\u8ff0\u4e0a\u6bd4\u8f83\u6563\u6f2b\u51cc\u4e71\uff0c\u8fd8\u8bf7\u539f\u8c05\uff0c\u5e76\u4e14\u8bf7\u7528\u4e00\u79cd\u591a\u5143\u773c\u5149\u770b\u5f85\u5b83\u3002\u8fd9\u4e9b\u4e8b\u4f8b\u4e5f\u5e76\u4e0d\u4f01\u56fe\u5305\u7f57\u4f17\u591a\u7684\u6570\u5b66\u53f2\u53c2\u8003\u6750\u6599\uff0c\u8bf7\u8bfb\u8005\u4e0d\u8981\u628a\u5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data-tools=\"135\u7f16\u8f91\u5668\" data-id=\"98563\">\n<section>\n<section>\n<section>\n<section><img decoding=\"async\" class=\"rich_pages wxw-img\" src=\"https:\/\/mmbiz.qpic.cn\/mmbiz_png\/0y3PSDNh0J8xB0TSzhicibDQuyTGzZoL0dGGX9nQfr91tSt1ewVsMYdgSWM7WCCSkWBJiaOYnJ57YqonaLxNZ3TFQ\/640?wx_fmt=png&amp;tp=webp&amp;wxfrom=5&amp;wx_lazy=1&amp;wx_co=1\" alt=\"\u56fe\u7247\" crossorigin=\"anonymous\" data-ratio=\"1\" data-type=\"png\" data-w=\"24\" data-width=\"100%\" data-src=\"https:\/\/mmbiz.qpic.cn\/mmbiz_png\/0y3PSDNh0J8xB0TSzhicibDQuyTGzZoL0dGGX9nQfr91tSt1ewVsMYdgSWM7WCCSkWBJiaOYnJ57YqonaLxNZ3TFQ\/640?wx_fmt=png\" data-fail=\"0\" \/><\/section>\n<section><span title=\"\" data-original-title=\"\"><strong>3<\/strong><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<p><strong>\u4e8b\u4f8b\u4e00\u675f<\/strong><\/p>\n<h2 data-tool=\"mdnice\u7f16\u8f91\u5668\"><\/h2>\n<h2 data-tool=\"mdnice\u7f16\u8f91\u5668\">\uff081\uff09\u6570\u5b66\u5bb6\u753b\u50cf\uff08\u5728\u5f88\u591a\u4e66\u672c\u4e0a\u90fd\u80fd\u627e\u5230\uff09<\/h2>\n<p>\u4e0d\u5c11\u4eba\u63d0\u5230\u6570\u5b66\u53f2\u4fbf\u60f3\u8d77\u4eba\u7269\u3001\u753b\u50cf\u3001\u8f76\u4e8b\u3002\u6709\u4e9b\u8bfe\u672c\u6807\u699c\u91c7\u7528\u6570\u5b66\u53f2\u4e5f\u53ea\u9650\u4e8e\u52a0\u63d2\u4e00\u4e9b\u6570\u5b66\u5bb6\u7684\u753b\u50cf\u6216\u5c0f\u53f2\u3002\u56fa\u7136\uff0c\u8fd9\u4e9b\u6709\u5b83\u7684\u4f5c\u7528\uff0c\u4f46\u6211\u4eec\u5fc5\u987b\u660e\u767d\uff0c\u5386\u53f2\u65ad\u975e\u4e00\u8fde\u4e32\u7684\u540d\u5b57\u548c\u753b\u50cf\u800c\u5df2\u3002<\/p>\n<p>\uff082\uff09E. T. Bell\u7684\u201cMen of Mathematics\u201d\uff081937\u5e74\uff0c1965\u5e74\u518d\u7248\uff09<\/p>\n<p><img decoding=\"async\" class=\"rich_pages wxw-img img_loading\" src=\"data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVQImWNgYGBgAAAABQABh6FO1AAAAABJRU5ErkJggg==\" alt=\"\u56fe\u7247\" crossorigin=\"anonymous\" data-ratio=\"1.185459940652819\" data-type=\"jpeg\" data-w=\"674\" data-src=\"https:\/\/mmbiz.qpic.cn\/mmbiz_jpg\/HJqsswHdM2liaat2OhursiaicEqmG1OJFicvVScaYG4v4FuOUVFBiautZJic0YOz4t08Keb3pvMZe551nWiatVEmXapVA\/640?wx_fmt=jpeg\" \/><\/p>\n<p>\u8fd9\u672c\u540d\u8457\u6536\u5f55\u4e86\u4e09\u5341\u591a\u4f4d\u6570\u5b66\u5bb6\u7684\u5c0f\u4f20\uff0c\u5176\u4e2d\u4e0d\u4e4f\u591a\u59ff\u591a\u5f69\u7684\u6545\u4e8b\uff0c\u80fd\u4e3a\u8bfe\u5802\u5e73\u6dfb\u4e0d\u5c11\u60c5\u8da3\u3002\u6709\u4e9b\u542b\u5bd3\u610f\u7684\u6545\u4e8b\uff0c\u66f4\u80fd\u8fbe\u81f4\u4e00\u672c\u6b63\u7ecf\u5f0f\u8bf4\u6559\u672a\u5fc5\u80fd\u8fbe\u81f4\u7684\u6548\u679c\u3002\u4e0d\u8fc7\u8bfb\u8005\u8981\u5c0f\u5fc3\uff0c\u8fd9\u672c\u901a\u4fd7\u540d\u8457\u7684\u5185\u5bb9\uff0c\u6709\u4e9b\u4e0d\u4e00\u5b9a\u7fd4\u5b9e\uff0c\u5bb9\u6613\u4ee5\u8bb9\u4f20\u8bb9\u3002<\/p>\n<section><\/section>\n<p>\uff083\uff09C.Reid\u7684\u201cHilbert\u201d\uff081970\u5e74\uff09<\/p>\n<p>\u8fd9\u672c\u4e66\u5e76\u4e0d\u5355\u4e3aHilbert\u7acb\u4f20\uff0c\u8fd8\u4f20\u795e\u5730\u63cf\u7ed8\u4e86\u5341\u4e5d\u4e16\u7eaa\u540e\u534a\u671f\u81f3\u4e8c\u5341\u4e16\u7eaa\u524d\u672c\u671f\u5fb7\u56fd\u6570\u5b66\u754c\u7684\u6d3b\u52a8\u548c\u6c14\u6c1b\u3002\u4e66\u91cc\u6ca1\u6709\u4e00\u70b9\u6280\u672f\u5185\u5bb9\u7684\u8ba8\u8bba\uff0c\u4f46\u6bcf\u8bfb\u4e00\u904d\u6211\u90fd\u83b7\u76ca\u4e00\u6b21\u3002\u6211\u751a\u81f3\u613f\u610f\u63a8\u8350\u5b83\u4e3a\u4e00\u672c\u6bcf\u4f4d\u5bf9\u6570\u5b66\u6709\u5174\u8da3\u7684\u4eba\u5fc5\u8bfb\u4e4b\u4e66\uff01<\/p>\n<p>\u4ee5\u4e0a\u4e09\u79cd\u53ef\u5f52\u4f5c\u4e00\u7c7b\uff0c\u8ddf\u7740\u7684\u51e0\u79cd\u53ef\u5f52\u4f5c\u53e6\u4e00\u7c7b\uff0c\u6211\u7ba1\u53eb\u5b83\u4eec\u6570\u5b66\u901a\u53f2\u3002<\/p>\n<p>\uff084\uff09F. Cajori\u7684\u201cHistory of Mathematics\u201d\uff081893\u5e74\uff0c1919\u5e74\u4e8c\u7248\uff0c1980\u5e74\u518d\u7248\uff09<\/p>\n<p>\uff085\uff09D. E. Smith\u7684\u201cHistory of Mathematics\u201d\uff081925\u5e74\uff0c1958\u5e74\u518d\u7248\uff09<\/p>\n<p>\uff086\uff09C.B. Boyer\u7684\u201cA History of Mathematics\u201d\uff081968\u5e74\uff0c1989\u5e74\u4e8c\u7248\uff09<\/p>\n<p>\u4e0a\u4e24\u672c\u6570\u5b66\u901a\u53f2\u8f83\u65e7\uff0c\u8fd9\u672c\u8f83\u65b0\u3002\u5b83\u662f\u4e00\u672c\u6750\u6599\u4e30\u5bcc\u800c\u4e14\u5f88\u597d\u8bfb\u7684\u6570\u5b66\u901a\u53f2\uff0c\u9002\u5b9c\u8ba9\u5b66\u751f\u81ea\u5df1\u9605\u8bfb\u3002\u5982\u679c\u4e00\u4f4d\u6570\u5b66\u6559\u5e08\u53ea\u613f\u8d2d\u4e70\u4e00\u672c\u6570\u5b66\u53f2\u53c2\u8003\u4e66\u653e\u5728\u6848\u5934\uff0c\u6211\u4f1a\u4ecb\u7ecd\u8fd9\u4e00\u672c\u3002<\/p>\n<p>\uff087\uff09M. Kline\u7684\u201cMathematical Thought From Ancient to Modern Times\u201d\uff081972\u5e74\uff09<\/p>\n<p>\u8fd9\u662f\u4e00\u672c\u975e\u5e38\u8be6\u5c3d\u7684\u6570\u5b66\u901a\u53f2\uff0c\u7740\u773c\u70b9\u5728\u4e8e\u6570\u5b66\u5185\u5bb9\uff0c\u9002\u5408\u4e13\u4fee\u6570\u5b66\u7684\u4eba\u3002\u5168\u4e66\u504f\u91cd\u8fd1\u4ee3\u897f\u6b27\u6570\u5b66\uff0c\u5bf9\u4e1c\u65b9\u53e4\u4ee3\u6570\u5b66\u53ea\u7565\u63d0\u751a\u81f3\u5b8c\u5168\u4e0d\u63d0\uff08\u4f8b\u5982\u4e2d\u56fd\u53e4\u4ee3\u6570\u5b66\uff09\uff0c\u8bda\u7f8e\u4e2d\u4e0d\u8db3\uff01<\/p>\n<p>\uff088\uff09\u6881\u5b97\u5de8\u7684\u300a\u4e16\u754c\u6570\u5b66\u7b80\u53f2\u300b\uff081980\u5e74\uff09<\/p>\n<p>\u8fd9\u672c\u4e66\u6536\u96c6\u4e86\u4e0d\u5c11\u5173\u4e8e\u4e2d\u897f\u6570\u5b66\u540d\u8bcd\u7684\u7531\u6765\uff0c\u5341\u5206\u6709\u7528\uff0c\u5728\u522b\u7684\u4e66\u672c\u4e0d\u5e38\u627e\u5230\u8fd9\u4e9b\u6570\u636e\u3002<\/p>\n<p>\uff089\uff09\u9c8d\u5c14\u52a0\u5c14\u65af\u57fa\u7684\u300a\u6570\u5b66\u7b80\u53f2\u300b\uff08\u4e2d\u8bd1\u672c\uff0c1974\u5e74\uff0c1979\u5e74\u4e8c\u7248\uff09<\/p>\n<p>\u8fd9\u672c\u82cf\u8054\u6570\u5b66\u53f2\u6559\u79d1\u4e66\uff0c\u6bd4\u897f\u65b9\u540c\u7c7b\u4e66\u672c\u82b1\u8f83\u591a\u7bc7\u5e45\u8bba\u53ca\u793e\u4f1a\u53d1\u5c55\u548c\u6570\u5b66\u53d1\u5c55\u7684\u4e92\u52a8\u5173\u7cfb\u3002<\/p>\n<p>\u4ee5\u4e0b\u51e0\u79cd\u662f\u53e4\u4ee3\u4e1c\u65b9\u6570\u5b66\u901a\u53f2\uff0c\u53ef\u8865\u5145\u901a\u5e38\u897f\u65b9\u6570\u5b66\u53f2\u4e66\u7b80\u7565\u4e86\u7684\u90e8\u4efd\u3002<\/p>\n<p>\uff0810\uff09O.Neugebauer\u7684\u201cThe Exact Sciences in Antiquity\u201d\uff081957\u5e74\u4e8c\u7248\uff0c1969\u5e74\u518d\u7248\uff09<\/p>\n<p>\u4f5c\u8005\u57fa\u4e8e1947\u5e74\u5eb7\u4e43\u5c14\u5927\u5b66\u901a\u4fd7\u8bb2\u5ea7\u5199\u6210\u6b64\u4e66\uff0c\u5185\u5bb9\u5305\u62ec\u53e4\u4ee3\u57c3\u53ca\u3001\u5df4\u6bd4\u4f26\u3001\u5e0c\u814a\u7684\u6570\u5b66\u53f2\u548c\u5929\u6587\u5b66\u53f2\uff0c\u4e43\u4f5c\u8005\u672c\u4eba\u7684\u7814\u7a76\u4e13\u957f\u3002<\/p>\n<section>\uff0811\uff09\u94b1\u5b9d\u742e\u7684\u300a\u4e2d\u56fd\u6570\u5b66\u53f2\u300b\uff081964\u5e74\uff09<\/p>\n<\/section>\n<section>\uff0812\uff09G.G. Joseph\u7684\u201cThe Crest of the Peacock\u201d\uff081991\u5e74\uff09<\/p>\n<\/section>\n<p>\u8fd9\u672c\u4e66\u7684\u526f\u9898\u540d\u201c\u6570\u5b66\u7684\u975e\u897f\u6b27\u6839\u6e90\u201d\uff0c\u7531\u6b64\u53ef\u77e5\u5b83\u7684\u5185\u5bb9\u5f3a\u8c03\u90a3\u4e00\u65b9\u9762\u4e86\u3002<\/p>\n<p>\u4e0b\u9762\u4e00\u79cd\u53ef\u8c13\u72ec\u6811\u4e00\u5e1c\uff0c\u662f\u8bb0\u5f55\u5927\u5168\u5f0f\u7684\u5178\u578b\u5de8\u8457\u3002<\/p>\n<p>\uff0813\uff09L.E. Dickson\u7684\u201cHistory of the Theory of Numbers\uff0cVol.I\uff0cII\uff0cIII\u201d\uff081919- 1923\u5e74\uff09<\/p>\n<p>\u8fd9\u672c\u4e66\u5e76\u4e0d\u9002\u5b9c\u7528\u4f5c\u9605\u8bfb\uff0c\u53ea\u5b9c\u7528\u4f5c\u53c2\u8003\u67e5\u9605\uff0c\u5728\u90a3\u65b9\u9762\u5927\u6982\u6ca1\u6709\u90a3\u672c\u4e66\u7684\u8d44\u6599\u6bd4\u5b83\u66f4\u9f50\u5168\u4e86\u3002<\/p>\n<p>\u4ee5\u4e0b\u51e0\u79cd\u5c5e\u4e13\u9898\u6570\u5b66\u53f2\u7814\u7a76\u7684\u8457\u4f5c\uff0c\u5404\u5177\u7279\u8272\u3002<\/p>\n<p>\uff0814\uff09C.B. Boyer\u7684\u201cThe History of Calculus and Its Conceptual Development\u201d\uff081949\u5e74\uff0c1959\u5e74\u518d\u7248\uff09<\/p>\n<p>\uff0815\uff09W.R. Knorr\u7684\u201cThe Evolution of the Euclidean Elements\u201d\uff081975\u5e74\uff09<\/p>\n<p>\u4f5c\u8005\u5728\u4e66\u4e2d\u63d0\u51fa\u65b0\u89c2\u70b9\uff0c\u91cd\u65b0\u5ba1\u89c6\u53e4\u4ee3\u5e0c\u814a\u6570\u5b66\u53f2\u3002<\/p>\n<p>\uff0816\uff09D.H.Fowler\u7684\u6587\u7ae0Ratio in Early Greek Mathmeatics\uff08\u520a\u4e8eBulletin\uff08New Series\uff09of the American Mathematical Society\uff0cVol.1\uff0cNO.6\uff0c1979\uff0c807- 846\u9875\uff09<\/p>\n<p>\u4f5c\u8005\u57fa\u4e8e\u4e0a\u8ff0Knorr\u4e66\u4e2d\u63d0\u51fa\u7684\u65b0\u89c2\u70b9\uff0c\u7ee7\u7eed\u6df1\u5165\u63a2\u8ba8\u9610\u8ff0\u3002<\/p>\n<p>\uff0817\uff09J.W.Dauben\u7684\u201cGeorg Cantor\uff1aHis Mathematics and Philosophy of the Infinite\u201d\uff081979\u5e74\uff09<\/p>\n<p>\u8fd9\u672c\u4ee5\u5355\u4e00\u4e2a\u6570\u5b66\u5bb6\u4e3a\u540d\u7684\u4e66\u5e76\u4e0d\u4ec5\u662f\u4ed6\u7684\u4f20\u8bb0\u800c\u5df2\uff0c\u5b83\u7684\u4e3b\u8981\u5185\u5bb9\u5728\u4e8e\u63a2\u8ba8\u4e00\u4e2a\u91cd\u8981\u7684\u6570\u5b66\u601d\u60f3\u7684\u6765\u6e90\u3001\u53d1\u5c55\u548c\u5f71\u54cd\u3002<\/p>\n<section>\uff0818\uff09J.Lutzen\u7684\u201cJoseph Louville\uff0c1809- 1882\uff1aMaster of Pure and Applied Mathematics\u201d\uff081990\u5e74\uff09\u00a0\u8fd9\u672c\u6570\u5b66\u53f2\u4e13\u8457\uff0c\u4e5f\u662f\u73af\u7ed5\u4e00\u4e2a\u6570\u5b66\u5bb6\u7684\u5de5\u4f5c\uff0c\u53d9\u8ff0\u4ed6\u5904\u4e8e\u7684\u90a3\u4e2a\u65f6\u4ee3\u7684\u6570\u5b66\u601d\u60f3\u3002<\/p>\n<\/section>\n<section>\uff0819\uff09A.Weil\u7684\u201cNumber Theory\uff1aAn Approach Through History from Hammurapi to Legender\u201d\uff081984\u5e74\uff09<\/p>\n<p>\u8fd9\u672c\u662f\u4ee5\u6570\u5b66\u5185\u5bb9\u4e3a\u4e3b\u7684\u6570\u5b66\u53f2\u7814\u7a76\u4e13\u8457\uff0c\u8f83\u9002\u5408\u4e13\u4fee\u6570\u5b66\u7684\u4eba\u3002<\/p>\n<\/section>\n<p>\uff0820\uff09H.Edwards\u7684\u201cGaloisTheory\u201d\uff081984\u5e74\uff09<\/p>\n<p>\u8fd9\u662f\u53e6\u4e00\u672c\u4ee5\u6570\u5b66\u5185\u5bb9\u4e3a\u4e3b\u7684\u6570\u5b66\u53f2\u7814\u7a76\u4e13\u8457\u3002\u8ddf\u7740\u7684\u51e0\u79cd\u662f\u539f\u8457\u6570\u5b66\u6587\u732e\u53ca\u5176\u6ce8\u91ca\u3002<\/p>\n<p>\uff0821\uff09A.B.Chace\u7684\u201cThe Rhind Mathematical Papyrus\u201d\uff081927- 1929\u5e74\uff0c1979\u5e74\u518d\u7248\uff09<\/p>\n<p>\u6709\u65f6\u5355\u5355\u671b\u7740\u8fd9\u4efd\u6700\u53e4\u8001\u7684\u6570\u5b66\u6587\u732e\uff0c\u5df2\u4f7f\u4eba\u53d1\u601d\u53e4\u4e4b\u5e7d\u60c5\uff0c\u666f\u4ef0\u4e4b\u5fc3\u4ea6\u6cb9\u7136\u800c\u751f\u3002<\/p>\n<p>\uff0822\uff09\u767d\u5c1a\u6055\u7684\u300a\u4e5d\u7ae0\u7b97\u672f\u6ce8\u91ca\u300b\uff081983\u5e74\uff09<\/p>\n<p>\u300a\u4e5d\u7ae0\u7b97\u672f\u300b\u4e43\u6211\u56fd\u53e4\u4ee3\u7684\u8f89\u714c\u6570\u5b66\u6587\u732e\uff0c\u9664\u4e86\u5b83\u7684\u6570\u5b66\u4ef7\u503c\u4ee5\u5916\uff0c\u66f4\u591a\u6dfb\u4e86\u4e00\u4efd\u6c11\u65cf\u81ea\u8c6a\u3002<\/p>\n<p>\uff0823\uff09T.L.Heath\u7684\u201cEuclid\uff1aThe Thirteen Books of the Element\u201d\uff081908\u5e74\uff0c1925\u5e74\u4e8c\u7248\uff0c1956\u5e74\u518d\u7248\uff09<\/p>\n<p>\u9664\u4e86\u539f\u6587\u548c\u6ce8\u91ca\u5916\uff0c\u5168\u4e66\u8fd8\u5305\u542b\u5f88\u591a\u975e\u5e38\u6709\u7528\u7684\u6750\u6599\u3002<\/p>\n<p>\uff0824\uff09L.Euler\u7684\u6587\u7ae0Solutio Problematis and Geometriam Situs Pertinentis\u201d\uff081736\u5e74\uff0c\u53ef\u89c1\u8bf8N.L.Biggs\uff0cE.K.Lloyd\uff0cR.J.Wilson\u7684\u201cGraph Theory\uff1a1736- 1936\u201d\uff0c1976\u5e74\uff09<\/p>\n<p>\u8fd9\u7bc7\u5206\u4e3a\u4e8c\u5341\u4e00\u8282\u7684\u6587\u7ae0\uff0c\u628a\u4e03\u6865\u95ee\u9898\u62bd\u4e1d\u5265\u8327\uff0c\u7ed9\u51fa\u89e3\u7b54\uff0c\u8fd8\u628a\u89e3\u7b54\u63a8\u5e7f\u81f3\u4e00\u822c\u60c5\u51b5\uff0c\u53ef\u89c6\u4f5c\u89e3\u96be\u7684\u5178\u8303\u3002\u5b83\u4e5f\u662f\u56fe\u8bba\u53d1\u5c55\u53f2\u4e0a\u7684\u4e00\u7bc7\u5960\u57fa\u6027\u8d28\u8bba\u6587\uff0c\u503c\u5f97\u5168\u6587\u901a\u8bfb\u3002<\/p>\n<p>\uff0825\uff09R.Dedekind\u7684\u6587\u7ae0Continuity And Irrational Number\uff081872\u5e74\uff0c\u53ef\u89c1\u8bf8R.Dedekind\u7684\u201cEssays on the Theory of Numbers\u201d\uff0c1901\u5e74\uff0c1963\u5e74\u518d\u7248\uff09<\/p>\n<p>\u8fd9\u662f\u53e6\u4e00\u7bc7\u503c\u5f97\u7531\u9996\u81f3\u5c3e\u7ec6\u8bfb\u73a9\u5473\u7684\u539f\u8457\uff0c\u4ece\u4e2d\u53ef\u4ee5\u770b\u5230\u4e00\u4e2a\u6570\u5b66\u601d\u60f3\u6e05\u6e05\u695a\u695a\u6d6e\u73b0\u51fa\u6765\u3002<\/p>\n<p>\uff0826\uff09D.Hilbert\u7684\u6f14\u8bb2\u6587\u7a3fMathematical Problems\uff081900\u5e74\uff0c\u8bd1\u6587\u520a\u767b\u4e8eBulletin of the American Mathematical Society\uff0cVol.8\uff0c1902\uff0c437- 479\u9875\uff09<\/p>\n<p>\u8fd9\u662f\u4e00\u7bc7\u6709\u540d\u7684\u5386\u53f2\u6587\u732e\uff0c\u5c24\u5176\u5f00\u9996\u548c\u7ed3\u5c3e\u5f88\u6709\u610f\u601d\uff0c\u4ea6\u5bcc\u6587\u91c7\u3002<\/p>\n<p>\uff0827\uff09H.Lebesgue\u7684\u6587\u7ae0The Development of the Integral Concept\uff081926\u5e74\uff0c\u53ef\u89c1\u8bf8R.Calinger\u7f16\u8457\u7684\u201cClassics of Mathematics\u201d\uff0c1982\u5e74\uff09<\/p>\n<p>\u8fd9\u7bc7\u5c0f\u54c1\u7531\u5927\u5e08\u6267\u7b14\uff0c\u4ee5\u901a\u4fd7\u8bed\u8a00\u4ecb\u7ecd\u4ed6\u81ea\u5df1\u7684\u91cd\u8981\u53d1\u73b0\uff0c\u53ef\u8c13\u81ea\u8eab\u8bf4\u6cd5\u4e86\u3002<\/p>\n<p>\uff0828\uff09Al- Khwarizimi\u7684\u201cHisab Al- Jabr Wal- Mu- qabala\u201d\uff08\u7ea6830\u5e74\uff0c\u7247\u65ad\u53ef\u89c1\u8bf8D.J.Struik\u7f16\u8457\u7684\u201cA Source Book in Mathematics\uff1a1200- 1800\u201d\uff0c1969\u5e74\u548cJ.Fauvel\uff0cJ.Gray\u7f16\u8457\u7684\u201cThe History of Mathematics\uff1aA Reader\u201d\uff0c1987\u5e74\uff09<\/p>\n<p>\u201c\u4ee3\u6570\u201d\u82f1\u6587\u8bcd\u7684\u7531\u6765\uff0c\u4fbf\u662f\u6e90\u81ea\u8fd9\u672c\u4e66\u540d\u7684\u7b2c\u4e8c\u4e2a\u5b57\u3002\u8fd9\u6bb5\u6545\u4e8b\u53ef\u7528\u4f5c\u8054\u7cfb\u4e2d\u5b66\u4ee3\u6570\uff08\u65b9\u7a0b\u5f0f\u89e3\u6cd5\uff09\u548c\u5927\u5b66\u62bd\u8c61\u4ee3\u6570\u7684\u5f00\u7aef\u3002<\/p>\n<p>\u4ee5\u4e0b\u4e24\u79cd\uff0c\u4e25\u683c\u8bf4\u6765\u4e0d\u7b97\u662f\u6570\u5b66\u53f2\uff0c\u4f46\u4f5c\u8005\u7684\u5386\u53f2\u773c\u5149\u5374\u5904\u5904\u6d41\u9732\uff0c\u4f7f\u5168\u4e66\u5e26\u6709\u6d53\u539a\u7684\u5386\u53f2\u6c14\u606f\u3002<\/p>\n<p>\uff0829\uff09G.Polya\u7684\u201cMathematics and Plausible Reasoning\u201d\uff081954\u5e74\uff09<\/p>\n<p>\u4ece\u6570\u5b66\u5bb6\u7684\u89d2\u5ea6\u8ba8\u8bba\u6570\u5b66\u601d\u60f3\u65b9\u5f0f\uff0c\u8fd9\u662f\u6700\u597d\u7684\u4e66\u3002<\/p>\n<p>\uff0830\uff09I.Lakatos\u7684\u201cProofs and Refutations\u201d\uff081976\u5e74\uff09<\/p>\n<p>\u5168\u4e66\u4ee5\u591a\u9762\u4f53\u7684Euler- Descartes\u516c\u5f0f\u4e3a\u4e3b\u7ebf\uff0c\u9610\u8ff0\u4f5c\u8005\u7684\u6570\u5b66\u54f2\u5b66\u89c2\u70b9\u3002\u4e66\u4e2d\u5145\u6ee1\u53d1\u4eba\u6df1\u7701\u7684\u4e8b\u4f8b\u548c\u95ee\u9898\u3002<\/p>\n<p>\u4ee5\u4e0b\u4e09\u79cd\u90fd\u662f\u6570\u5b66\u540d\u5bb6\u7684\u4e66\u4fe1\u3002<\/p>\n<p>\uff0831\uff09F.Bolyai\u548cJ.Bolyai\u7236\u5b50\u4e4b\u95f4\u7684\u901a\u4fe1\uff08\u7ea61823\u5e74\uff09<\/p>\n<p>\u5728\u4fe1\u4e0a\u7236\u4eb2\u529d\u8beb\u513f\u5b50\u4e0d\u8981\u8017\u8d39\u65f6\u95f4\u7cbe\u529b\u4e8e\u5e73\u884c\u516c\u7406\u8fd9\u4e2a\u95ee\u9898\u4e0a\u3002\u800c\u513f\u5b50\u5374\u56de\u590d\u7236\u4eb2\uff0c\u4ed6\u5df2\u4ece\u4e00\u65e0\u6240\u6709\u521b\u5efa\u4e86\u5947\u602a\u7684\u65b0\u4e16\u754c\uff08\u6307\u53cc\u66f2\u578b\u51e0\u4f55\uff09\u3002\u7236\u4eb2\u7684\u4fe1\u51c4\u5a49\u52a8\u4eba\uff0c\u513f\u5b50\u7684\u4fe1\u6fc0\u8361\u4eba\u5fc3\uff01<\/p>\n<p>\uff0832\uff09A.Cayley\u5199\u7ed9J.J.Sylvester\u7684\u4fe1\uff081857\u5e74\uff09<\/p>\n<p>Cayley\u5728\u4fe1\u4e0a\u89e3\u91ca\u4ed6\u521a\u83b7\u5f97\u7684\u4e00\u9879\u6210\u679c\uff0c\u5c31\u662f\u4eca\u5929\u79f0\u4f5cCayley- Hamilton\u5b9a\u7406\u3002\u5728\u7ebf\u6027\u4ee3\u6570\u8bfe\u5802\u4e0a\u6211\u5fc5\u5c55\u793a\u8fd9\u5c01\u4fe1\uff0c\u7531\u5b83\u5f00\u59cb\u8bb2\u89e3\u3002<\/p>\n<p>\uff0833\uff09W.R.Hamilton\u5199\u7ed9\u513f\u5b50\u7684\u4fe1\uff08\u7ea61865\u5e74\uff09<\/p>\n<p>\u5728\u4fe1\u4e0aHamilton\u5fc6\u8ff0\u4ed6\u53d1\u73b0\u56db\u5143\u6570\u7684\u7ecf\u8fc7\u3002<\/p>\n<p>\u6700\u540e\u51e0\u79cd\u662f\u7efc\u5408\u6709\u5173\u6587\u732e\u7ecf\u6574\u7406\u540e\u5f97\u6765\u7684\u3002<\/p>\n<p>\uff0834\uff09Euclid\u7684\u201cElements\u201d\u5377\u4e00\u90e8\u4efd<\/p>\n<p>\u4ecb\u7ecd\u5e73\u884c\u516c\u7406\u548c\u5176\u4ed6\u5b9a\u7406\u7684\u5173\u7cfb\uff0c\u4f5c\u4e3a\u4ecb\u7ecd\u975e\u6b27\u51e0\u4f55\u7684\u5f15\u5b50\u3002\u975e\u6b27\u51e0\u4f55\u7684\u53d1\u73b0\u662f\u6570\u5b66\u53f2\u4e0a\u5f71\u54cd\u6df1\u8fdc\u7684\u4e00\u6869\u5927\u4e8b\uff0c\u503c\u5f97\u5728\u8bfe\u4e0a\u8ba8\u8bba\u3002<\/p>\n<p>\uff0835\uff09Euclid\u7684\u201cElements\u201d\u5377\u4e03\u90e8\u4efd\u548c\u300a\u4e5d\u7ae0\u7b97\u672f\u300b\u5377\u4e00\u90e8\u4efd<\/p>\n<p>\u6bd4\u8f83\u4e2d\u897f\u53e4\u4ee3\u5bf9\u4eca\u5929\u79f0\u4f5c\u6b27\u6c0f\u7b97\u6cd5\u7684\u8ba8\u8bba\u548c\u5b83\u7684\u5e94\u7528\u3002<\/p>\n<p>\uff0836\uff09Euclid\u7684\u201cElements\u201d\u5377\u4e03\u3001\u5377\u4e5d\u90e8\u4efd\u548cC.F.Gauss\u7684\u201cDisquisitiones Arithmeticae\u201d\uff081801\u5e74\uff09\u7b2c\u4e00\u8282\u90e8\u4efd<\/p>\n<p>\u4ecb\u7ecd\u4eca\u5929\u79f0\u4f5c\u7b97\u672f\u57fa\u672c\u5b9a\u7406\uff0c\u5206\u6790\u5b83\u7684\u8bc1\u660e\u3002<\/p>\n<p>\uff0837\uff09\u4ece\u5386\u53f2\u770b\u51fd\u6570\u6982\u5ff5\u7684\u53d1\u5c55\uff0c\u7531\u9759\u6001\uff08\u8868\u503c\uff09\u81f3\u52a8\u6001\uff08\u51e0\u4f55\u5316\uff09\u518d\u81f3\u8ba1\u7b97\uff08\u4ee3\u6570\u5316\uff09\u7136\u540e\u56de\u590d\u81f3\u9759\u6001\uff08\u5c04\uff09\u7684\u201c\u87ba\u65cb\u5f0f\u201d\u53d1\u5c55\uff0c\u9887\u6709\u8fd4\u749e\u5f52\u771f\u7684\u5473\u9053\u3002\uff08\u89c1M.K.Siu\uff0cConcept of Function\uff1aIts History and Teaching\uff0cRevised Version\uff0cHKU Research Report HKUM- 91- 10\uff0c1991\uff09<\/p>\n<section data-tools=\"135\u7f16\u8f91\u5668\" data-id=\"98563\">\n<section>\n<section>\n<section>\n<section><img decoding=\"async\" src=\"data:image\/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVQImWNgYGBgAAAABQABh6FO1AAAAABJRU5ErkJggg==\" alt=\"\u56fe\u7247\" crossorigin=\"anonymous\" data-ratio=\"1\" data-type=\"png\" data-w=\"24\" data-width=\"100%\" data-src=\"https:\/\/mmbiz.qpic.cn\/mmbiz_png\/0y3PSDNh0J8xB0TSzhicibDQuyTGzZoL0dGGX9nQfr91tSt1ewVsMYdgSWM7WCCSkWBJiaOYnJ57YqonaLxNZ3TFQ\/640?wx_fmt=png\" \/><\/section>\n<section><strong>4<\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<p><strong>\u6570\u5b66\u53f2\u771f\u7684\u6709\u5e2e\u52a9\u5417\uff1f<\/strong><\/p>\n<section><\/section>\n<section>\u4ece\u4e0a\u4e00\u8282\u6240\u4e3e\u7684\u4e8b\u4f8b\u4e2d\uff0c\u8bfb\u8005\u5927\u6982\u80fd\u610f\u4f1a\u5230\u6211\u5fc3\u76ee\u4e2d\u7684\u201c\u53ef\u8fd0\u7528\u7684\u6570\u5b66\u53f2\u201d\u662f\u6307\u4ec0\u4e48\u5427\uff1f\u5b83\u4e0d\u5355\u6307\u4eba\u7269\u3001\u8f76\u4e8b\u3001\u8c01\u4f55\u65f6\u53d1\u73b0\u4ec0\u4e48\u3001\u2026\u2026\uff0c\u5b83\u4e5f\u4e0d\u7b49\u4e8e\u4e13\u95e8\u6570\u5b66\u53f2\u5bb6\u7684\u7814\u7a76\u5de5\u4f5c\u3002\u56fa\u7136\uff0c\u6211\u4eec\u7edd\u4e0d\u6392\u9664\u8fd9\u4e9b\u6750\u6599\uff0c\u5b83\u4eec\u662f\u4e0d\u53ef\u7f3a\u5c11\u7684\u5e2e\u52a9\u3002\u6211\u662f\u4ee5\u4e00\u4e2a\u6570\u5b66\u5de5\u4f5c\u8005\u548c\u6570\u5b66\u6559\u5e08\u7684\u8eab\u4efd\u770b\u5f85\u6570\u5b66\u53f2\uff0c\u4e0d\u8bba\u662f\u539f\u8457\u3001\u4e8c\u624b\u6750\u6599\u3001\u8bba\u8ff0\u6216\u8005\u6545\u4e8b\u3001\u4f20\u8bb0\uff0c\u90fd\u662f\u6211\u4eec\u7684\u8425\u517b\u54c1\uff0c\u503c\u5f97\u6211\u4eec\u5b66\u4e60\u3001\u6d88\u5316\u3001\u8fd0\u7528\u3002\u901a\u8fc7\u8fd9\u4e9b\u6750\u6599\uff0c\u6211\u4eec\u770b\u5230\u591a\u59ff\u591a\u5f69\u7684\u6570\u5b66\u610f\u5ff5\u5982\u4f55\u4ea7\u751f\uff0c\u660e\u767d\u5230\u5b83\u4eec\u5982\u4f55\u6f14\u53d8\u6210\u4e3a\u4eca\u5929\u719f\u6089\u7684\u5f62\u5f0f\uff0c\u4e5f\u4ece\u8fd9\u4e9b\u53d1\u5c55\u6f14\u53d8\u5f53\u4e2d\u8ba4\u8bc6\u5230\u521b\u9020\u8fd9\u4e9b\u77e5\u8bc6\u7684\u4eba\uff0c\u4ea7\u751f\u8fd9\u4e9b\u4eba\u548c\u8fd9\u4e9b\u77e5\u8bc6\u7684\u5ba2\u89c2\u6761\u4ef6\uff0c\u8fd8\u6709\u8fd9\u4e9b\u77e5\u8bc6\u7684\u793e\u4f1a\u4f5c\u7528\u548c\u5b83\u5bf9\u6587\u5316\u7684\u5f71\u54cd\u3002\u5341\u516b\u4e16\u7eaa\u5fb7\u56fd\u6587\u8c6aGoethe\u8bf4\u8fc7\uff1a\u201c\u4e00\u95e8\u79d1\u5b66\u7684\u5386\u53f2\u5c31\u662f\u90a3\u95e8\u79d1\u5b66\u672c\u8eab\u3002\u201d\u7528\u8bf8\u4e8e\u6570\u5b66\uff0c\u6211\u4eec\u4e0d\u59a8\u8bf4\uff1a\u201c\u6570\u5b66\u53f2\u5c31\u662f\u6570\u5b66\u672c\u8eab\u3002\u201d\u6240\u4ee5\uff0c\u5438\u6536\u548c\u8fd0\u7528\u6570\u5b66\u53f2\uff0c\u65e2\u5145\u5b9e\u4e86\u81ea\u5df1\uff0c\u4e5f\u4e30\u5bcc\u4e86\u6559\u5b66\u3002<\/section>\n<section><\/section>\n<section>\u5bf9\u4e8e\u8fd0\u7528\u6570\u5b66\u53f2\u4e8e\u6559\u5b66\u7684\u5efa\u8bae\uff0c\u6700\u5e38\u78b0\u5230\u7684\u6d88\u6781\u53cd\u5e94\u6709\u4e24\u79cd\uff1a<\/section>\n<blockquote data-type=\"2\" data-url=\"\" data-author-name=\"\" data-content-utf8-length=\"177\" data-source-title=\"\">\n<section>\n<section>\n<section>\uff081\uff09\u201c\u6211\u8981\u6559\u7684\u662f\u73b0\u4ee3\u4eba\u7528\u7684\u6570\u5b66\uff0c\u7ba1\u5b83\u53e4\u4ee3\u4eba\u600e\u4e48\u505a\u6570\u5b66\u5462\uff1f\u90a3\u4e9b\u8001\u53e4\u8463\u9876\u591a\u62ff\u6765\u4f5c\u70b9\u7f00\u800c\u5df2\uff0c\u5b83\u5e76\u4e0d\u662f\u771f\u6b63\u7684\u6570\u5b66\u3002\u5373\u4f7f\u4f60\u8bf4\u4ece\u6570\u5b66\u53f2\u80fd\u7aa5\u63a2\u6570\u5b66\u7684\u672c\u8d28\u548c\u610f\u4e49\uff0c\u90a3\u53c8\u4e0e\u6211\u4f55\u5e72\uff1f\u6211\u4e0d\u662f\u7814\u7a76\u54f2\u5b66\u7684\uff0c\u6211\u53ea\u60f3\u628a\u6570\u5b66\u6559\u597d\u5427\u3002\u201d<\/section>\n<section><\/section>\n<section>\uff082\uff09\u201c\u867d\u7136\u6211\u627f\u8ba4\u6570\u5b66\u53f2\u65e2\u6709\u76ca\u53c8\u6709\u8da3\uff0c\u4f46\u6211\u90a3\u513f\u6765\u8fd9\u4efd\u95f2\u60c5\u9038\u81f4\u53bb\u8fd0\u7528\u5b83\uff1f\u5355\u662f\u8981\u5728\u89c4\u5b9a\u7684\u65f6\u95f4\u5185\u6559\u61c2\u8fd9\u4e00\u5927\u7fa4\u7a0b\u5ea6\u53c2\u5dee\u7684\u5b66\u751f\u89c4\u5b9a\u7684\u8bfe\u7a0b\u8303\u56f4\u91cc\u7684\u6570\u5b66\uff0c\u5df2\u591f\u5fd9\u7684\uff01\u201d<\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n<section>\u8fd9\u4e24\u79cd\u53cd\u5e94\u8c8c\u4f3c\u4e0d\u540c\uff0c\u5b9e\u5219\u53cd\u6620\u4e86\u540c\u4e00\u4ef6\u4e8b\uff1a\u5728\u6570\u5b66\u6559\u80b2\u4e2d\uff0c\u6211\u4eec\u5f80\u5f80\u53ea\u5f3a\u8c03\u5b9e\u7528\u77e5\u8bc6\u8fd9\u4e00\u4e2a\u76ee\u6807\u3002\u4e0d\u540c\u65f6\u4ee3\u4e0d\u540c\u5730\u533a\u7684\u6570\u5b66\u8bfe\u7a0b\u7eb2\u8981\uff0c\u5185\u5bb9\u548c\u4f7f\u7528\u5b57\u773c\u6216\u8bb8\u4e0d\u76f8\u540c\uff0c\u4f46\u7b3c\u7edf\u627c\u8981\u5730\u8bf4\uff0c\u5b83\u4eec\u7684\u76ee\u6807\u90fd\u53ef\u4ee5\u5206\u4e3a\u4e09\u65b9\u9762\uff0c\u5373\u662f\uff1a\uff081\uff09\u601d\u7ef4\u8bad\u7ec3\u3001\uff082\uff09\u5b9e\u7528\u77e5\u8bc6\u3001\uff083\uff09\u6587\u5316\u7d20\u517b\u3002\u4f46\u5f80\u5f80\u6211\u4eec\u53ea\u6ce8\u91cd\uff082\uff09\uff0c\u628a\u6570\u5b66\u5355\u5355\u4f5c\u4e3a\u4e00\u79cd\u6280\u80fd\u3001\u4e00\u79cd\u5de5\u5177\u53bb\u8bb2\u6388\u3002\u8fd9\u6837\u505a\u7684\u8bdd\uff0c\u7eb5\u4f7f\u4f20\u6388\u4e86\u77e5\u8bc6\uff0c\u4ea6\u5fc5\u63a9\u76d6\u4e86\u6570\u5b66\u4f5c\u4e3a\u6587\u5316\u6d3b\u52a8\u7684\u9762\u76ee\u3002\u5b66\u751f\u4e0d\u6613\u4e86\u89e3\u6570\u5b66\u6709\u5b83\u7684\u751f\u547d\u548c\u53d1\u5c55\u3001\u6709\u5b83\u7684\u8fc7\u53bb\u548c\u672a\u6765\uff1b\u5b66\u751f\u5bb9\u6613\u628a\u6570\u5b66\u770b\u6210\u662f\u4e00\u5806\u73b0\u6210\u7684\u516c\u5f0f\u548c\u5b9a\u7406\uff0c\u867d\u7136\u5b8c\u7f8e\u65e0\u8bef\u4f46\u4e5f\u662f\u50f5\u786c\u4e0d\u53d8\u800c\u4e14\u523b\u677f\u67af\u71e5\uff1b\u5b66\u751f\u89c1\u5230\u7684\u5c3d\u662f\u6280\u5de7\u5806\u780c\u548c\u903b\u8f91\u6e38\u620f\uff0c\u4e88\u4eba\u95ed\u95e8\u9020\u8f66\u7684\u5370\u8c61\u3002\u96be\u602a\u53ea\u6709\u6781\u5c11\u6570\u5b66\u751f\u88ab\u6570\u5b66\u5438\u5f15\u4e86\uff0c\u4e5f\u6709\u5c11\u6570\u4e00\u4e9b\u5b66\u751f\u4e3a\u4e86\u65e5\u540e\u9700\u8981\u4f7f\u7528\u8fd9\u79cd\u5de5\u5177\u59d1\u4e14\u628a\u5b83\u6371\u8fc7\u53bb\uff0c\u5176\u4f59\u7edd\u5927\u90e8\u4efd\u5b66\u751f\u90fd\u4e0e\u6570\u5b66\u758f\u79bb\uff0c\u6216\u8005\u538c\u6076\u5bb3\u6015\u5b83\uff0c\u6216\u8005\u5bf9\u5b83\u6301\u6ce0\u6f20\u6001\u5ea6\u3002\u5f88\u591a\u5b66\u751f\u4e2d\u5b66\u6bd5\u4e1a\u4e86\uff0c\u5374\u50cf\u5b8c\u5168\u6ca1\u6709\u5b66\u8fc7\u6570\u5b66\u8fd9\u79d1\uff0c\u53ea\u5f53\u5b83\u662f\u4e00\u573a\u6076\u68a6\uff01<\/section>\n<section><\/section>\n<section>\u6570\u5b66\u6559\u5b66\u6709\u201c\u72ed\u4e49\u201d\u548c\u201c\u5e7f\u4e49\u201d\u4e24\u65b9\u9762\uff1a\u524d\u8005\u662f\u6307\u4f20\u6388\u6570\u5b66\u77e5\u8bc6\uff0c\u540e\u8005\u8f83\u96be\u754c\u5b9a\uff0c\u7b3c\u7edf\u5730\u8bf4\u5b83\u662f\u6307\u201c\u6570\u5b66\u89c2\u201d\u7684\u4f53\u73b0\u3002\u4ec0\u4e48\u662f\u201c\u6570\u5b66\u89c2\u201d\u5462\uff1f\u6709\u4e9b\u4eba\u4ee5\u4e3a\u90a3\u662f\u62bd\u8c61\u7684\u54f2\u5b66\u95ee\u9898\uff0c\u5176\u5b9e\u5b83\u5e76\u4e0d\u62bd\u8c61\uff0c\u4f60\u7684\u6570\u5b66\u89c2\u5c31\u662f\u4f60\u5bf9\u6570\u5b66\u7684\u770b\u6cd5\u3001\u4f60\u5bf9\u6570\u5b66\u672c\u8d28\u548c\u610f\u4e49\u7684\u89c1\u89e3\u3002\u6bcf\u4e2a\u4eba\u603b\u6709\u81ea\u5df1\u5bf9\u4e8b\u7269\u7684\u770b\u6cd5\uff0c\u56e0\u6b64\u6bcf\u4e2a\u4eba\u4e00\u5b9a\u6709\u81ea\u5df1\u7684\u6570\u5b66\u89c2\u3002\uff08\u5982\u679c\u4f60\u8ba4\u4e3a\u6bcb\u987b\u7406\u4f1a\u6570\u5b66\u7684\u672c\u8d28\u548c\u610f\u4e49\uff0c\u90a3\u4e5f\u662f\u4e00\u79cd\u6570\u5b66\u89c2\uff01\uff09\u6bcf\u4e2a\u793e\u4f1a\u7684\u6210\u5458\u7684\u6570\u5b66\u89c2\u6c47\u96c6\u8d77\u6765\uff0c\u5176\u4e3b\u6d41\u5373\u5f62\u6210\u8be5\u793e\u4f1a\u7684\u6570\u5b66\u89c2\u3002\u5343\u4e07\u4e0d\u8981\u5c0f\u770b\u8fd9\u4e00\u70b9\uff0c\u5343\u4e07\u4e0d\u8981\u4ee5\u4e3a\u6570\u5b66\u89c2\u4e0e\u6570\u5b66\u6559\u5b66\u65e0\u5e72\u3002\u5c31\u4e2a\u4eba\u800c\u8a00\uff0c\u4e0d\u8bba\u4f60\u81ea\u89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Whitehead\u8bf4\u8fc7\uff1a\u201c\u6559\u80b2\u662f\u4f7f\u4eba\u83b7\u5f97\u5982\u4f55\u4f7f\u7528\u77e5\u8bc6\u7684\u827a\u672f\u3002\u201d\u4ed6\u4e5f\u8bf4\u8fc7\uff1a\u201c\u6587\u5316\u7d20\u517b\u5305\u542b\u601d\u7ef4\u6d3b\u52a8\u4e0e\u5bf9\u7f8e\u548c\u5584\u7684\u611f\u53d7\uff0c\u800c\u975e\u5355\u5355\u96f6\u788e\u7684\u77e5\u8bc6\u3002\u4ec5\u4ec5\u62e5\u6709\u77e5\u8bc6\u7684\u4eba\u662f\u5929\u4e0b\u95f4\u6700\u6ca1\u7528\u7684\u8ba8\u538c\u5bb6\u4f19\uff0c\u6211\u4eec\u7684\u76ee\u6807\u5728\u4e8e\u57f9\u517b\u65e2\u5177\u6587\u5316\u7d20\u517b\u53c8\u5177\u67d0\u79cd\u4e13\u4e1a\u77e5\u8bc6\u7684\u4eba\u3002\u201d\u5373\u4f7f\u4ece\u72ed\u4e49\u7684\u89d2\u5ea6\u770b\uff0c\u53ea\u6ce8\u91cd\u64cd\u7ec3\u6570\u5b66\u6280\u80fd\u4e5f\u4e0d\u89c1\u5f97\u4f20\u6388\u4e86\u77e5\u8bc6\u3002\u8fd9\u6837\u505a\u53ef\u80fd\u4f7f\u5b66\u751f\u5e94\u4ed8\u8fc7\u4e86\u8003\u8bd5\uff0c\u4f46\u5374\u4f7f\u5927\u90e8\u4efd\u5b66\u751f\u4e27\u5931\u5174\u8da3\u3001\u597d\u5947\u5fc3\u3001\u6279\u5224\u80fd\u529b\u3001\u81ea\u5b66\u80fd\u529b\u3001\u751a\u81f3\u8868\u8fbe\u80fd\u529b\u3002\u603b\u7684\u800c\u8a00\uff0c\u5b66\u751f\u65e2\u611f\u53d7\u4e0d\u5230\u4e00\u79cd\u5b66\u4e60\u6109\u60a6\uff0c\u4e5f\u5c31\u96be\u4e8e\u517b\u6210\u4e00\u79cd\u5bf9\u77e5\u8bc6\u7684\u5c0a\u91cd\u4e86\u3002\u8868\u9762\u770b\u8d77\u6765\uff0c\u4e9a\u6d32\u5b66\u751f\u7684\u6570\u5b66\u6d4b\u8bd5\u6210\u7ee9\u6392\u540d\u5c45\u4e16\u754c\u524d\u5217\uff0c\u8fd9\u4ece\u51e0\u5c4a\u56fd\u9645\u6570\u5b66\u6559\u5b66\u8bc4\u4f30\u62a5\u544a\u4e2d\u53ef\u4ee5\u770b\u5230\u3002\u4f46\u6211\u5bf9\u8fd9\u70b9\u53ef\u4e0d\u6562\u6cbe\u6cbe\u81ea\u559c\u3002\u4f1a\u4e0d\u4f1a\u6211\u4eec\u5728\u6280\u672f\u5185\u5bb9\u65b9\u9762\u8981\u6c42\u8fc7\u9ad8\uff0c\u4ee5\u81f4\u5ffd\u7565\u4e86\u522b\u7684\u65b9\u9762\uff0c\u800c\u4ed8\u51fa\u7684\u4ee3\u4ef7\u5c31\u662f\u90a3\u4e9b\u4e0d\u80fd\u5728\u77ed\u671f\u5185\u4ee5\u6807\u51c6\u6d4b\u8bd5\u65b9\u5f0f\u91cf\u5ea6\u7684\u8d28\u91cf\u5462\uff1f\u5c0f\u5b69\u5b50\u672c\u6765\u90fd\u5f88\u559c\u6b22\u5b66\u4e60\uff0c\u5bf9\u4ec0\u4e48\u4e5f\u611f\u5174\u8da3\u3002\u8fdb\u4e86\u5c0f\u5b66\u540e\uff0c\u6709\u4e9b\u4eba\u4e0d\u518d\u559c\u6b22\u5b66\u4e60\u4e86\uff1b\u8fdb\u4e86\u4e2d\u5b66\u540e\uff0c\u66f4\u591a\u4eba\u4e0d\u559c\u6b22\u5b66\u4e60\u4e86\u3002\u539f\u6765\u662f\u6709\u8da3\u7684\u4e8b\u7269\uff0c\u7531\u4e8e\u4e0d\u7528\u8003\u6216\u6ca1\u6cd5\u8003\uff0c\u53d8\u4e3a\u6ca1\u8da3\uff01\u90a3\u4e9b\u8981\u8003\u7684\uff0c\u5374\u7531\u4e8e\u8981\u8003\uff0c\u4e5f\u53d8\u4e3a\u6ca1\u8da3\uff01\u5230\u5934\u6765\u4ec0\u4e48\u90fd\u6ca1\u8da3\u4e86\uff0c\u8fd9\u5c82\u975e\u201c\u81ea\u8ba8\u6ca1\u8da3\u201d\u5417\uff1f<\/section>\n<section><\/section>\n<section>\u9664\u4e86\u4f20\u6388\u77e5\u8bc6\u4ee5\u5916\uff0c\u6570\u5b66\u6559\u5e08\u66f4\u6709\u8d23\u4efb\u57f9\u517b\u5b66\u751f\u7684\u6570\u5b66\u7d20\u517b\u3001\u773c\u5149\u548c\u54c1\u5473\u3002\u56fa\u7136\uff0c\u8fd9\u4e0d\u662f\u4e00\u6869\u8f7b\u800c\u6613\u4e3e\u7684\u5de5\u4f5c\uff0c\u4f46\u53ea\u6709\u8eab\u5728\u7b2c\u4e00\u7ebf\u5de5\u4f5c\u7684\u6559\u5e08\u624d\u80fd\u80a9\u8d1f\u8fd9\u9879\u4efb\u52a1\uff0c\u518d\u5468\u5168\u518d\u8be6\u5c3d\u7684\u8bfe\u7a0b\u7eb2\u8981\u4ea6\u53ea\u80fd\u8d77\u6307\u5f15\u4f5c\u7528\u800c\u5df2\u3002\u6570\u5b66\u6559\u5e08\u5e94\u8be5\u8bbe\u6cd5\u5728\u65e5\u5e38\u6559\u5b66\u91cc\u6e17\u900f\u8fd9\u79cd\u6587\u5316\u89c2\u70b9\u548c\u5386\u53f2\u773c\u5149\uff0c\u8ba9\u5b66\u751f\u7545\u6cf3\u5176\u4e2d\uff0c\u6e10\u6e10\u5f62\u6210\u81ea\u5df1\u7684\u6570\u5b66\u89c2\u3002\u8981\u8fd9\u6837\u505a\uff0c\u6559\u5e08\u5fc5\u987b\u5145\u5b9e\u81ea\u5df1\u7684\u5b66\u8bc6\u3002\u6570\u5b66\u7684\u5b66\u8bc6\u53ef\u4f5c\u7eb5\u6a2a\u770b\uff0c\u7eb5\u662f\u8ffd\u6eaf\u6570\u5b66\u6982\u5ff5\u548c\u7406\u8bba\u7684\u6765\u9f99\u53bb\u8109\uff0c\u6a2a\u662f\u8ba4\u8bc6\u6570\u5b66\u7684\u672c\u8d28\u548c\u610f\u4e49\uff0c\u7ecf\u7eac\u4ea4\u7ec7\u800c\u6210\u3002\u4e00\u4e2a\u6570\u5b66\u6559\u5e08\u4e5f\u50cf\u4e00\u4e2a\u72ec\u594f\u8868\u6f14\u8005\uff0c\u51ed\u7740\u81ea\u5df1\u7684\u7406\u89e3\u3001\u9886\u4f1a\u3001\u529f\u529b\u53bb\u8be0\u91ca\u97f3\u4e50\u4f5c\u54c1\u3002\u8981\u4f5c\u7f8e\u5999\u7684\u8be0\u91ca\uff0c\u8868\u6f14\u8005\u672c\u4eba\u5fc5\u987b\u5148\u4e86\u89e3\u8be5\u4f5c\u54c1\u548c\u559c\u7231\u8be5\u4f5c\u54c1\u3002\u6570\u5b66\u6559\u5e08\u4ea6\u590d\u4e00\u6837\uff0c\u8981\u628a\u6570\u5b66\u6559\u597d\uff0c\u6559\u5e08\u672c\u4eba\u5fc5\u987b\u4fdd\u6301\u81ea\u5df1\u5bf9\u6570\u5b66\u7684\u5174\u8da3\u548c\u70ed\u60c5\uff0c\u5145\u5b9e\u81ea\u5df1\u7684\u5b66\u8bc6\uff0c\u57f9\u517b\u90a3\u79cd\u6587\u5316\u89c2\u70b9\u548c\u5386\u53f2\u773c\u5149\u3002\u5728\u8fd9\u51e0\u65b9\u9762\uff0c\u6570\u5b66\u53f2\u80af\u5b9a\u662f\u6709\u5e2e\u52a9\u7684\u3002\u8ba9\u6211\u5f15\u7528\u4e00\u6bb5\u8457\u540d\u79d1\u5b66\u53f2\u5bb6G.Sarton\u7684\u8bdd\u4f5c\u4e3a\u672c\u6587\u7684\u7ed3\u675f\uff1a<\/section>\n<blockquote data-type=\"2\" data-url=\"\" data-author-name=\"\" data-content-utf8-length=\"191\" data-source-title=\"\">\n<section>\n<section>\n<section>\u201c\u6570\u5b66\u53f2\u5bb6\u7684\u4e3b\u8981\u4efb\u52a1\uff0c\u540c\u65f6\u53c8\u662f\u4ed6\u6700\u949f\u7231\u7684\u7279\u6743\uff0c\u5c31\u662f\u8be0\u91ca\u6570\u5b66\u7684\u4eba\u6587\u6210\u5206\uff0c\u663e\u793a\u6570\u5b66\u7684\u4f1f\u5927\u3001\u4f18\u7f8e\u548c\u5c0a\u4e25\uff0c\u63cf\u8ff0\u5386\u4ee3\u7684\u4eba\u5982\u4f55\u4ee5\u4e0d\u65ad\u7684\u52aa\u529b\u548c\u79ef\u7d2f\u7684\u624d\u534e\u53bb\u5efa\u7acb\u8fd9\u5ea7\u4ee4\u6211\u4eec\u81ea\u8c6a\u7684\u58ee\u4e3d\u7eaa\u5ff5\u7891\uff0c\u4e5f\u4f7f\u6211\u4eec\u6bcf\u4e2a\u4eba\u5bf9\u7740\u5b83\u53f9\u4e3a\u5947\u89c2\uff0c\u611f\u5230\u8c26\u900a\u800c\u8c22\u5929\u3002\u5b66\u4e60\u6570\u5b66\u53f2\u5012\u4e0d\u4e00\u5b9a\u4ea7\u751f\u66f4\u51fa\u8272\u7684\u6570\u5b66\u5bb6\uff0c\u4f46\u5b83\u4ea7\u751f\u66f4\u6e29\u96c5\u7684\u6570\u5b66\u5bb6\u3002\u5b66\u4e60\u6570\u5b66\u53f2\u80fd\u4e30\u5bcc\u4ed6\u4eec\u7684\u601d\u60f3\uff0c\u629a\u6170\u4ed6\u4eec\u7684\u5fc3\u7075\uff0c\u5e76\u4e14\u57f9\u690d\u4ed6\u4eec\u7684\u9ad8\u96c5\u8d28\u91cf\u3002\u201d<\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n<div 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