{"id":20702,"date":"2021-10-29T15:18:49","date_gmt":"2021-10-29T07:18:49","guid":{"rendered":"http:\/\/www.qiusir.com\/?p=20702"},"modified":"2021-10-29T15:18:49","modified_gmt":"2021-10-29T07:18:49","slug":"math-through-the-ages","status":"publish","type":"post","link":"https:\/\/www.qiusir.com\/?p=20702","title":{"rendered":"Math through the Ages"},"content":{"rendered":"<p><center><img decoding=\"async\" alt=\"Maththeages\" src=\"http:\/\/www.qiusir.com\/wp-content\/gallery\/net\/mathttheages.jpg\" width=\"480\" class=\"framed\" \/><\/center><br \/>\n\u8fd9\u624d\u662f\u597d\u8bfb\u7684\u6570\u5b66\u53f2 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\/>\n\u963f\u62c9\u4f2f\u7684\u6570\u5b66\u4f20\u7edf\u975e\u5e38\u5177\u6709\u521b\u9020\u529b\uff0c\u4ed6\u4eec\u4ece\u5e0c\u814a\u6570\u5b66\u548c\u5370\u5ea6\u6570\u5b66\u4e2d\u6311\u9009\u6700\u597d\u7684\u4e1c\u897f\uff0c\u5e76\u8fdb\u4e00\u6b65\u53d1\u5c55\u5b83\u3002\u4ee4\u4eba\u9057\u61be\u7684\u662f\uff0c\u53ea\u6709\u4e00\u5c0f\u90e8\u5206\u88ab\u4f20\u64ad\u5230\u6b27\u6d32\u3002<br \/>\n5\u4e2d\u4e16\u7eaa\u7684\u6b27\u6d32<br \/>\n\u4ece\u4e9a\u91cc\u58eb\u591a\u5fb7\u5230\u6b27\u51e0\u91cc\u5f97\u7684\u5404\u79cd\u53e4\u5e0c\u814a\u8bed\u6587\u732e\u90fd\u662f\u4ece\u963f\u62c9\u4f2f\u8bed\u7ffb\u8bd1\u8fc7\u6765\u7684\uff0c\u4ece\u800c\u4f7f\u5b83\u4eec\u5728\u897f\u65b9\u4ea7\u751f\u5f71\u54cd\u3002\uff08\u770b\u5230\u8fd9\u53e5\u8bdd\uff0c\u9a6c\u4e0a\u53d1\u7ed9\u5728\u5317\u4eac\u5916\u56fd\u8bed\u5927\u5b66\u8bfb\u963f\u62c9\u4f2f\u8bed\u7684\u5d14\u5b66\u957f\uff09<br \/>\n\u5728\u5927\u591a\u6570\u60c5\u51b5\u4e0b\uff0c\u5927\u5b66\u7684\u5b66\u8005\u5bf9\u6570\u5b66\u4e0d\u611f\u5174\u8da3\u3002\u7136\u800c\uff0c\u4e9a\u91cc\u58eb\u591a\u5fb7\u7684\u8457\u4f5c\u5bf9\u6b64\u786e\u5b9e\u6709\u5f88\u5927\u7684\u79ef\u6781\u5f71\u54cd\u3002\u4ed6\u5728\u8fd0\u52a8\u7406\u8bba\u65b9\u9762\u7684\u7814\u7a76\uff0c\u4f7f\u725b\u6d25\u548c\u5df4\u9ece\u7684\u4e00\u4e9b\u5b66\u8005\u5f00\u59cb\u601d\u8003\u8fd0\u52a8\u5b66\uff0c\u5373\u5bf9\u8fd0\u52a8\u7269\u4f53\u7684\u7814\u7a76\u3002<br \/>\n\u5217\u5965\u7eb3\u591a\u7ecf\u5e38\u88ab\u79f0\u4e3a\u6590\u6ce2\u90a3\u5951\uff0c\u662f\u7531\u4e8e\u4ed6\u7236\u4eb2\u540d\u5b57\u7684\u5173\u7cfb\u3002\u7136\u800c\uff0c\u6ca1\u6709\u8bc1\u636e\u8868\u660e\u5217\u5965\u7eb3\u591a\u66fe\u4e3a\u81ea\u5df1\u4f7f\u7528\u8fc7\u8fd9\u4e2a\u540d\u5b57\u3002(Leonard Fibonacci Leonard DaVinci)<br \/>\n\u5217\u5965\u7eb3\u591a\u7684\u300a\u5e73\u65b9\u6570\u4e4b\u4e66\u300b\u65e9\u5728\u8d39\u9a6c\u548c\u6b27\u62c9\u7684\u8457\u4f5c\u95ee\u4e16\u524d\u7684400\u5e74\u6216\u66f4\u65e9\u7684\u65f6\u95f4\u5c31\u5df2\u7ecf\u51fa\u73b0\uff0c\u7ed9\u4e86\u4ed6\u4eec\u5f88\u591a\u542f\u53d1\u3002<br \/>\n6 15\u548c16\u4e16\u7eaa<br \/>\n\uff08\u8036\u662f\u90fd\u548c\u8033\u6735\u6709\u5173\u7684\u8bcd\u6c47\uff09<br \/>\n7\u4ee3\u6570\u65f6\u4ee3<br \/>\n\u5217\u5965\u7eb3\u591a\u7684\u300a\u8ba1\u7b97\u4e4b\u4e66\u300b\uff0c\u5c31\u50cf\u542f\u53d1\u5b83\u7684\u963f\u62c9\u4f2f\u4ee3\u6570\u4e00\u6837\uff0c\u5185\u5bb9\u5b8c\u5168\u662f\u4fee\u8f9e\u6027\u7684\u6587\u5b57\uff0c\u65b9\u7a0b\u5f0f\u548c\u8fd0\u7b97\u8fc7\u7a0b\u5b8c\u5168\u7528\u6587\u5b57\u8868\u8fbe\u3002<br \/>\n\u5f53\u65f6\u7684\u5b66\u8005\u5927\u591a\u90fd\u5f97\u5230\u4e86\u5bcc\u4eba\u7684\u8d5e\u52a9\uff0c\u5e76\u4e14\u4e0d\u5f97\u4e0d\u901a\u8fc7\u5728\u516c\u5171\u7ade\u8d5b\u4e2d\u51fb\u8d25\u5176\u4ed6\u5b66\u8005\u6765\u8d62\u5f97\u5de5\u4f5c\u3002<br \/>\n\u7b1b\u5361\u5c14\u5b8c\u6210\u4e86\u628a\u4ee3\u6570\u5e26\u5165\u6210\u719f\u72b6\u6001\u7684\u8fc7\u7a0b\u3002<br \/>\n\u5f88\u957f\u4e00\u6bb5\u65f6\u95f4\uff0c\u53ea\u6709\u8d39\u9a6c\u72ec\u81ea\u5728\u7814\u7a76\u548c\u4f53\u4f1a\u8fd9\u4e9b\u6709\u8da3\u7684\u95ee\u9898\u3002\u5f53\u65f6\u7684\u6570\u5b66\u5bb6\u4eec\u8ba4\u4e3a\u6709\u7528\u7684\u6570\u5b66\u662f\u53ef\u4ee5\u89e3\u51b3\u5b9e\u9645\u95ee\u9898\u7684\uff0c\u6240\u4ee5\u4ed6\u4eec\u5bf9\u8d39\u9a6c\u7684\u5426\u5b9a\u547d\u9898\u6df1\u611f\u56f0\u60d1\u3002\u4e3a\u4ec0\u4e48\u4e0d\u80fd\u89e3\u51b3\u67d0\u4e9b\u95ee\u9898\u65f6\u53cd\u800c\u611f\u5230\u81ea\u8c6a\uff1f\u6b64\u5916\uff0c\u8d39\u9a6c\u4e0d\u662f\u4e13\u4e1a\u6570\u5b66\u5bb6\uff0c\u800c\u662f\u5728\u6cd5\u56fd\u56fe\u5362\u5179\u7684\u6cd5\u5ead\u4e0a\u670d\u52a1\u7684\u4e00\u540d\u5f8b\u5e08\u3002<br \/>\n8\u5fae\u79ef\u5206\u4e0e\u5e94\u7528\u6570\u5b66<br \/>\n\u201c\u81ea\u7136\u54f2\u5b66\u5bb6\u201d\u4f3d\u5229\u7565\u575a\u4fe1\u4eba\u7c7b\u53ea\u6709\u7528\u6570\u5b66\uff0c\u624d\u6709\u673a\u4f1a\u4e86\u89e3\u8fd9\u4e2a\u4e16\u754c\u3002<br \/>\n\u5f53\u7269\u4f53\u4ee5\u901f\u5ea6\u4e0d\u65ad\u53d8\u5316\u7684\u65b9\u5f0f\u8fd0\u52a8\u65f6\uff0c\u4eba\u4eec\u5982\u4f55\u7406\u89e3\u5b83\u7684\u901f\u5ea6\u5462\uff1f\u5728\u7ed9\u5b9a\u7684\u65f6\u95f4\u5185\uff0c\u4eba\u4eec\u5982\u4f55\u8ba1\u7b97\u5b83\u6240\u8fd0\u52a8\u7684\u8ddd\u79bb\u5462\uff1f<br \/>\n\u5361\u74e6\u5217\u91cc\u66fe\u662f\u4f3d\u5229\u7565\u7684\u5b66\u751f&#8230;\uff08\u6258\u91cc\u62c6\u5229\u4e5f\u662f\uff09<br \/>\n\u725b\u987f\u7684\u65b9\u6cd5\u5f3a\u8c03\u81ea\u8c13\u7684\u201c\u6d41\u91cf\u201d\u53ca\u5176\u6d41\u6570\uff0c\u4ed6\u79f0\u4e4b\u4e3a\u201c\u6d41\u4f53\u7684\u53d8\u5316\u7387\u201d\u3002\u83b1\u5e03\u5c3c\u8328\u7684\u65b9\u6cd5\u4f7f\u7528\u4e86\u201c\u65e0\u7a77\u5c0f\u201d\u6216\u65e0\u9650\u5c0f\u91cf\u7684\u6982\u5ff5\u3002<br \/>\n\u96c5\u5404\u5e03\u4f2f\u52aa\u5229\uff0c\u4ee5\u53ca\u4ed6\u7684\u5f1f\u5f1f\u7ea6\u7ff0\uff0c\u8fd8\u6709\u5176\u4ed6\u4eba\u5b66\u4f1a\u4e86\u5fae\u79ef\u5206\u7684\u5e94\u7528\u3002\u7ea6\u7ff0\u626e\u6f14\u4e86\u4e00\u4e2a\u7279\u522b\u91cd\u8981\u7684\u89d2\u8272\u3002\u7531\u4e8e\u4ed6\u7684\u54e5\u54e5\u662f\u5047\u8c61\u745e\u58eb\u5df4\u585e\u5c14\u7684\u6570\u5b66\u6559\u6388\uff0c\u4ed6\u4e0d\u5f97\u4e0d\u5230\u522b\u5904\u53bb\u5bfb\u6c42\u53d1\u5c55\u3002\u4e3a\u4e86\u8d5a\u94b1\uff0c\u4ed6\u7ed9\u6cd5\u56fd\u4e00\u540d\u8d35\u65cf\u6d1b\u5fc5\u8fbe\u6559\u6388\u65b0\u7684\u5fae\u79ef\u5206&#8230;\u6b27\u62c9\u51fa\u751f\u4e8e\u745e\u58eb\uff0c\u4ece\u7ea6\u7ff0\u4f2f\u52aa\u5229\u90a3\u5b66\u4e60\u79c1\u4eba\u8bfe\u7a0b\uff0c\u5f53\u65f6\u4ed6\u5df2\u7ecf\u53d6\u4ee3\u4e86\u4ed6\u54e5\u54e5\u7684\u5730\u4f4d\u3002\u6b27\u62c9\u4e00\u751f\u7684\u5927\u90e8\u5206\u65f6\u95f4\u90fd\u662f\u5728\u5723\u5f7c\u5f97\u5821\u548c\u67cf\u6797\u8bfb\u8fc7\u7684\u3002<br \/>\n\u6b27\u62c9\u7684\u5f71\u54cd\u662f\u5de8\u5927\u7684.\u4ed6\u662f\u7b2c\u4e00\u4e2a\u5efa\u8bae\u4eba\u4eec\uff0c\u6700\u597d\u8003\u8651\u628a\u6b63\u5f26\u548c\u4f59\u5f26\u4f5c\u4e3a\u89d2\u5ea6\u7684\u51fd\u6570\uff0c\u5e76\u6839\u636e\u5355\u4f4d\u5706\u5b9a\u4e49\u5b83\u4eec\u7684\u4eba\u3002\u4ed6\u662f\u7b2c\u4e00\u4e2a\u4ee5\u73b0\u4ee3\u5f62\u5f0f\u8868\u8fbe\u725b\u987f\u8fd0\u52a8\u5b9a\u5f8b\u7684\u4eba\u3002\u4ed6\u63a8\u5e7f\u4e86\u7528\u03c0\u8868\u793a\u5706\u5468\u7387\uff0c\u5e76\u53d1\u660e\u4e86\u4ee5e\u4f5c\u4e3a\u81ea\u7136\u5bf9\u6570\u7684\u57fa\u7840\u6570\u5b66\u7b26\u53f7&#8230;<br \/>\n\u6cd5\u56fd\u6570\u5b66\u5bb6\u8fbe\u6717\u8d1d\u5c14\u66fe\u5bf9\u5b66\u751f\u8bf4\u8fc7\uff0c\u201c\u575a\u6301\uff0c\u4fe1\u5ff5\u5c31\u6765\u4e86\u3002\u201d<br \/>\n9\u4e25\u8c28\u6027\u548c\u4e13\u4e1a\u7cbe\u795e<br \/>\n19\u4e16\u7eaa\u7684\u5f00\u5c40\u4ee51789\u5e74\u6cd5\u56fd\u5927\u9769\u547d\u7684\u4f59\u6ce2\u4e3a\u6807\u5fd7\uff0c\u8fd9\u573a\u9769\u547d\u5f71\u54cd\u4e86\u6574\u4e2a\u6b27\u6d32\u3002\u5728\u6539\u9769\u4e2d\uff0c\u6559\u80b2\u662f\u4ee5\u6cd5\u56fd\u7684\u9769\u547d\u5bb6\u5173\u6ce8\u7684\u91cd\u70b9\u3002<br \/>\n\u6cd5\u56fd\u653f\u5e9c\u4e8e1795\u5e74\u6b63\u5f0f\u901a\u8fc7\u516c\u5236\u4f5c\u4e3a\u8ba1\u91cf\u7cfb\u7edf\u540e\uff0c\u9010\u6e10\u6269\u5c55\u5230\u5176\u4ed6\u56fd\u5bb6\u3002<br \/>\n\u9ad8\u65af\u7684\u5de5\u4f5c\u8d2f\u7a7f\u4e86\u6240\u6709\u7684\u7eaf\u6570\u5b66\u548c\u5e94\u7528\u6570\u5b66\u3002\u4e8b\u5b9e\u4e0a\uff0c\u4ed6\u5728\u7269\u7406\u5b66\u548c\u5929\u6587\u5b66\u65b9\u9762\u7684\u6210\u5c31\uff0c\u4e5f\u50cf\u4ed6\u4e25\u8c28\u7684\u6570\u5b66\u7814\u7a76\u4e00\u6837\u51fa\u540d\u3002<br \/>\n\u67ef\u897f\u7684\u7814\u7a76\u6d89\u53ca\u6570\u5b66\u548c\u6570\u5b66\u7269\u7406\u5b66\u66f4\u5e7f\u6cdb\u7684\u9886\u57df\u3002\u4ed6\u7684\u5199\u4f5c\u4e1a\u6d89\u730e\u4e86\u6240\u6709\u7684\u9886\u57df\u3002\u4e8b\u5b9e\u4e0a\uff0c\u4ed6\u662f\u8fd8\u4ee5\u4e3a\u591a\u4ea7\u7684\u4f5c\u5bb6\uff0c\u4ee5\u81f3\u6cd5\u56fd\u4e00\u5bb6\u4e3b\u8981\u671f\u520a\u7684\u7f16\u8f91\u4e00\u5ea6\u5bf9\u4ed6\u7684\u8bba\u6587\u65bd\u52a0\u4e86\u9650\u989d\u3002\u4f5c\u4e3a\u56de\u5e94\uff0c\u4ed6\u8bf4\u670d\u4e86\u4e00\u4f4d\u51fa\u7248\u5546\u4e3a\u5b83\u51fa\u7248\u4e86\u4e00\u4efd\u4e13\u520a\uff0c\u8fd9\u4efd\u4e13\u520a\u53ea\u520a\u8f7d\u67ef\u897f\u7684\u8bba\u6587\uff01<br \/>\n<strong>\u7ef4\u5c14\u65af\u7279\u62c9\u5728\u67cf\u6797\u5f00\u8bbe\u7684\u5206\u6790\u5b66\u8bb2\u5ea7\u5f88\u6709\u540d\u3002\u4ed6\u4e0d\u662f\u4e00\u4f4d\u6d3b\u6d3b\u6cfc\u7684\u8001\u5e08\u3002\u5065\u5eb7\u95ee\u9898\u8feb\u4f7f\u4ed6\u5750\u7740\u8bb2\u8bfe\uff0c\u800c\u5b66\u751f\u5219\u5728\u9ed1\u677f\u4e0a\u534f\u52a9\u4e66\u5199\u516c\u5f0f\u3002\u4ed6\u7684\u5f88\u591a\u5b66\u751f\u6210\u4e86\u4f1f\u5927\u7684\u6570\u5b66\u5bb6\u3002<\/strong>\uff08\u5b66\u751f\u7684\u53c2\u4e0e\u4ece\u8fd9\u91cc\u770b\u51fa\u5f88\u91cd\u8981\u554a\uff0c\u52a9\u6559\u7684\u7b56\u7565\u5e94\u8be5\u7ee7\u7eed\u3002\uff09<br \/>\n\u5f53\u7231\u56e0\u65af\u57661910\u5e74\u4ee3\u5bfb\u627e\u4e00\u79cd\u65b9\u5f0f\u6765\u8868\u8fbe\u4ed6\u5bf9\u91cd\u529b\u7684\u6d1e\u5bdf\u65f6\uff0c\u4ed6\u5728\u9ece\u66fc\u7684\u51e0\u4f55\u65b9\u6cd5\u4e2d\u627e\u5230\u4e86\u6b63\u786e\u7684\u8bed\u8a00\u3002\u4e8b\u5b9e\u8bc1\u660e\uff0c\u6211\u4eec\u53ef\u80fd\u751f\u6d3b\u5728\u4e00\u4e2a\u975e\u6b27\u51e0\u91cc\u5f97\u7684\u5b87\u5b99\u4e2d\u3002<br \/>\n\uff08\u6628\u5929\u53d1\u73b0\u4e86\u4e00\u4e2a\u6587\u6863\uff0c\u60f3\u8ba9\u535a\u4e01\u5e2e\u5fd9\u3002\u5f88\u665a\u4e86\u4ed6\u6ca1\u6709\u7761\uff0c\u540c\u5bdd\u5ba4\u7684\u90fd\u5728\u6253\u6e38\u620f\uff0c\u4ed6\u5728\u770b\u4e66\uff0c\u6216\u662f\u770b\u770b\u6cb9\u7ba1\u7684\u89c6\u9891&#8230;\uff09<br 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\/>\n\u4e00\u4e9b\u6700\u65e9\u7684\u6d4b\u91cf\u6807\u51c6\u662f\u4ee5\u4eba\u4f53\u7684\u4e00\u90e8\u5206\u4e3a\u6807\u51c6\uff0c\u5982\u62c3&#8230;\u4eba\u4f53\u7684\u90e8\u4f4d\u5927\u5c0f\u56e0\u4eba\u800c\u5f02\uff08\u4f46\u624b\u6307\u662f\u4e00\u6837\u591a\u7684\u57fa\u672c\uff0c\u6240\u4ee5\u4ee3\u6570\uff09\u3002\u5f88\u81ea\u7136\u4f1a\u9009\u62e9\u56fd\u738b\u6216\u5176\u4ed6\u67d0\u4e2a\u663e\u8d6b\u4eba\u7269\u7684\u8eab\u4f53\u90e8\u4f4d\u4f5c\u4e3a\u6d4b\u91cf\u5355\u4f4d\u3002\u572812\u4e16\u7eaa\u7684\u82f1\u56fd\uff0c\u4ea8\u5229\u4e00\u4e16\u5ba3\u5e03\u4e00\u7801\u662f\u4ed6\u7684\u624b\u81c2\u4f38\u5f00\u65f6\u4ece\u4ed6\u7684\u9f3b\u5c16\u5230\u5927\u62c7\u6307\u6307\u5c16\u7684\u8ddd\u79bb\u3002\u8fd9\u6210\u4e3a\u82f1\u56fd\u6d4b\u91cf\u7cfb\u7edf\u4e2d\u957f\u5ea6\u7684\u57fa\u7840\uff0c\u8fd9\u4e00\u7cfb\u7edf\u5728\u7f8e\u56fd\u4ecd\u7136\u666e\u904d\u4f7f\u7528\u3002<br \/>\n1790\u5e74\uff0c\u5854\u5217\u5170\u5fb7\u4e3b\u6559\u5411\u6cd5\u56fd\u56fd\u6c11\u8bae\u4f1a\u63d0\u51fa\u4e86\u4e00\u4e2a\u4ee5\u949f\u6446\u957f\u5ea6\u4e3a\u57fa\u7840\u7684\u6d4b\u91cf\u7cfb\u7edf\uff0c\u5176\u57fa\u672c\u957f\u5ea6\u6765\u81ea\u4e8e\u6bcf\u79d2\u6446\u52a8\u4e00\u6b21\u7684\u5355\u6446\u957f\u5ea6\u3002\uff08\u7269\u7406\u4e0a\u7684\u79d2\u6446\u5468\u671f\u662f2\u79d2\uff0c\u6446\u957f\u63a5\u8fd11\u7c73\uff09<br \/>\n\u6cd5\u56fd\u79d1\u5b66\u9662\u7814\u7a76\u4e86\u8fd9\u4e00\u8ba1\u5212\uff0c\u7ecf\u8fc7\u4e00\u756a\u8fa9\u8bba\uff0c\u8ba4\u4e3a\u4e16\u754c\u5404\u5730\u6e29\u5ea6\u548c\u91cd\u529b\u7684\u5dee\u5f02\u5c06\u4f7f\u8fd9\u4e00\u957f\u5ea6\u53d8\u5f97\u4e0d\u53ef\u9760\u3002\u4ed6\u4eec\u63d0\u51fa\u4e86\u4e00\u4e2a\u65b0\u7684\u7cfb\u7edf\uff0c\u5b83\u662f\u6839\u636e\u4ece\u8d64\u9053\u5230\u5317\u6781\u70b9\u7684\u6d77\u5e73\u9762\u5b50\u5348\u7ebf\u7684\u957f\u5ea6\u800c\u5b9a\u7684\uff0c\u4ed6\u4eec\u628a\u8fd9\u4e2a\u5b50\u5348\u7ebf\u7684\u4e00\u5343\u4e07\u5206\u4e4b\u4e00\u79f0\u4e3a1\u7c73\u3002\u751a\u81f3\u6307\u5b9a\u4e86\u7a7f\u8fc7\u6cd5\u56fd\u6566\u523b\u5c14\u514b\u548c\u897f\u73ed\u7259\u7684\u5df4\u585e\u7f57\u90a3&#8230;<br \/>\n\u6cd5\u56fd\u4e8e1795\u5e74\u6b63\u5f0f\u91c7\u7528\u4e86\u6cd5\u56fd\u56fd\u5bb6\u79d1\u5b66\u9662\u7684\u5236\u5ea6\u3002\u4e00\u7c73\u7684\u957f\u6746\u548c\u4e00\u5343\u514b\u7684\u91cd\u7269\u7684\u767d\u91d1\u6807\u51c6\u6a21\u578b\u4e8e1799\u5e74\u5236\u9020\u51fa\u6765\uff0c\u5e76\u5b58\u653e\u5728\u6cd5\u56fd\u56fd\u5bb6\u6863\u6848\u9986\u3002\u7136\u800c\uff0c\u6b63\u5982\u4eba\u4eec\u6240\u9884\u6599\u7684\u90a3\u6837\uff0c\u516c\u4f17\u5e76\u6ca1\u6709\u7acb\u5373\u6216\u8f7b\u6613\u5730\u63a5\u53d7\u8fd9\u4e00\u5236\u5ea6\uff0c\u751a\u81f3\u6cd5\u56fd\u4e5f\u662f\u5982\u6b64\u3002\u5b83\u57281812\u5e74\u88ab\u62ff\u7834\u4ed1\u5e9f\u9664\u4e86\uff0c\u4f46\u57281840\u5e74\u53c8\u88ab\u6062\u590d\u4e3a\u6cd5\u56fd\u7684\u5f3a\u5236\u5236\u5ea6\u30021875\u5e74\uff0c17\u4e2a\u56fd\u5bb6\u5171\u540c\u7b7e\u7f72\u4e86\u201c\u7c73\u5236\u6d4b\u91cf\u7cfb\u7edf\u6761\u7ea6\u201d\uff0c\u4f7f\u56fd\u9645\u6267\u884c\u6210\u4e3a\u73b0\u5b9e\u3002<br \/>\n\u7f8e\u56fd\u57281866\u5e74\u901a\u8fc7\u4e86\u4e00\u9879\u6cd5\u5f8b\uff0c\u89c4\u5b9a\u5728\u5546\u4e1a\u4e2d\u4f7f\u7528\u516c\u5236\u662f\u5408\u6cd5\u7684\uff08\u4e0d\u662f\u5f3a\u5236\u6027\u7684\uff09\u3002\u7f8e\u56fd\u4e5f\u662f\u552f\u4e00\u4e00\u4e2a\u57281875\u5e74\u7b7e\u7f72\u201c\u7c73\u5236\u6d4b\u91cf\u7cfb\u7edf\u6761\u7ea6\u201d\u7684\u82f1\u8bed\u7cfb\u56fd\u5bb6\u3002\u7136\u800c\uff0c\u4ece\u82f1\u5236\u7cfb\u7edf\u5411\u516c\u5236\u7cfb\u7edf\u7684\u8fc7\u5ea6\u662f\u7f13\u6162\u800c\u52c9\u5f3a\u7684&#8230;\u572820\u4e16\u7eaa\u7684\u6700\u540e\u56db\u5206\u4e4b\u4e00\u65f6\u95f4\u91cc\uff0c\u653f\u6cbb\u7684\u6ce2\u52a8\u963b\u788d\u4e861975\u5e74\u6cd5\u5f8b\u7684\u5168\u529b\u5b9e\u65bd\u3002\u63d0\u4e2a\u7a81\u51fa\u7684\u4f8b\u5b50&#8212;\u8fd9\u79cd\u77db\u76fe\u7684\u4ee3\u4ef7\u662f\u7f8e\u56fd\u56fd\u5bb6\u822a\u5929\u548c\u592a\u7a7a\u603b\u7f721998\u5e7412\u6708\u53d1\u5c04\u706b\u661f\u6c14\u5019\u8f68\u9053\u5668\u5931\u8d25\u30029\u4e2a\u6708\u540e\uff0c\u8fd9\u9879\u8017\u8d44655\u4ebf\u7f8e\u5143\u7684\u4eba\u7269\u5728\u8f68\u9053\u5668\u5230\u8fbe\u706b\u661f\u65f6\u5931\u8d25\u4e86\uff0c\u539f\u56e0\u4e4b\u4e00\u662f\u5730\u9762\u8ba1\u7b97\u673a\u7528\u82f1\u5236\u7cfb\u7edf\u53d1\u9001\u6570\u636e\uff0c\u800c\u4e0d\u662f\u6240\u9700\u7684\u516c\u5236\u7cfb\u7edf\u3002\u4eca\u5929\uff0c\u7f8e\u56fd\u4ecd\u7136\u575a\u6301\u62d2\u7edd\u91c7\u7528\u516c\u5236\u4f5c\u4e3a\u5176\u5b98\u65b9\u6d4b\u91cf\u6807\u51c6\u3002<br \/>\n7\u6d4b\u91cf\u5706\uff1a\u03c0\u7684\u6545\u4e8b<br \/>\n\u8ba1\u7b97\u76f4\u5f84\u4e3a1\u5343\u7c73\u7684\u5706\u5f62\u6e56\u6cca\u7684\u5468\u957f\uff0c\u5373\u4f7f\u662f\u75283600\u5e74\u524d\u6700\u7c97\u7565\u7684\u8fd1\u4f3c\u503c\uff0c\u8bef\u5dee\u4e5f\u4e0d\u52302%\u3002<br \/>\n\u6211\u4eec\u751a\u81f3\u8fd8\u6ca1\u6709\u8db3\u591f\u7684\u77e5\u8bc6\u6765\u786e\u5207\u77e5\u9053\u90a3\u4e9b\u95ee\u9898\u662f\u503c\u5f97\u7684\u3002\u6709\u65f6\uff0c\u4e00\u4e2a\u770b\u4f3c\u5fae\u4e0d\u8db3\u9053\u7684\u89c2\u70b9\u4f1a\u5e26\u6765\u5e7f\u6cdb\u7684\u3001\u66f4\u65b0\u7684\u6d1e\u5bdf\u529b\u3002<br \/>\n\u5bf9\u8fd9\u79cd\u6267\u7740\u6700\u8bda\u5b9e\u7684\u89e3\u91ca\u53ef\u80fd\u662f\u4eba\u7c7b\u5bf9\u672a\u77e5\u4e8b\u7269\u7684\u597d\u5947\u3002<br \/>\n\u5728\u6570\u5b66\u4e2d\uff0c\u5c31\u50cf\u5728\u4efb\u4f55\u8fd0\u52a8\u4e2d\u4e00\u6837\uff0c\u514b\u670d\u5c1a\u672a\u5c1d\u8bd5\u8fc7\u7684\u548c\u6311\u6218\u672a\u77e5\u7684\u672c\u8eab\u5c31\u662f\u5956\u8d4f\u3002<br \/>\n8\u89e3\u672a\u77e5\u6570\u7684\u827a\u672f\uff1a\u7528\u7b26\u53f7\u4e66\u5199\u4ee3\u6570\u5f0f<br \/>\n\u5c31\u50cf\u96f6\u4ef6\u6807\u51c6\u5316\u662f\u798f\u7279\u6c7d\u8f66\u5927\u89c4\u6a21\u751f\u4ea7\u7684\u5173\u952e\u4e00\u6b65\uff0c\u7b26\u53f7\u89c4\u8303\u5316\u662f\u4ee3\u6570\u5b66\u4f7f\u7528\u548c\u53d1\u5c55\u4e2d\u7684\u5173\u952e\u4e00\u6b65\u3002<br \/>\n\u201c\u4e00\u4e2a\u6709\u6761\u7406\u7684\u6570\u5b66\u4eba\u7ecf\u5e38\u4f1a\u56e0\u611f\u89c9\u4ed6\u7684\u94c5\u7b14\u5728\u667a\u529b\u4e0a\u8d85\u8d8a\u4e86\u81ea\u5df1\u800c\u4ea7\u751f\u4e0d\u9002\u3002\u201d<br \/>\n\u5728\u5f53\u65f6\uff0c=\u88ab\u7528\u6765\u8868\u793a\u5176\u4ed6\u60f3\u6cd5\uff0c\u5305\u62ec\u5e73\u884c\u3001\u5dee\u5f02\u7b49\u3002\u5b83\u6700\u7ec8\u88ab\u666e\u904d\u63a5\u53d7\u4e3a\u8868\u793a\u76f8\u7b49\u7684\u7b26\u53f7\uff0c\u5f88\u5927\u7a0b\u5ea6\u4e0a\u53ef\u80fd\u662f\u7531\u4e8e\u5176\u88ab\u827e\u8428\u514b\u00b7\u725b\u987f\u548c\u83b1\u5e03\u5c3c\u5179\u6240\u91c7\u7528\u3002<br \/>\n9\u7ebf\u6027\u601d\u7ef4\uff1a\u89e3\u4e00\u6b21\u65b9\u7a0b<br \/>\n10\u5e73\u65b9\u4e0e\u7269\uff1a\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u5f0f<br \/>\n\u201c\u4ee3\u6570\u201d\u8fd9\u4e2a\u8bcd\u6765\u6e90\u4e8e\u5927\u7ea6\u516c\u5143825\u5e74\u7528\u963f\u62c9\u4f2f\u8bed\u5199\u7684\u4e00\u672c\u4e66\u7684\u4e66\u540d\u3002\u4f5c\u8005\u963f\u5c14-\u82b1\u524c\u5b50\u6a21\u5f88\u53ef\u80fd\u51fa\u751f\u5728\u4eca\u5929\u7684\u4e4c\u5179\u522b\u514b\u65af\u5766\uff0c\u4f46\u4ed6\u5c45\u4f4f\u5728\u5df4\u683c\u8fbe\uff08\u5929\u8d50\u57ce\uff09\uff0c\u90a3\u91cc\u5f53\u65f6\u662f\u4e16\u754c\u4e0a\u6700\u6d3b\u8dc3\u7684\u6587\u5316\u4e2d\u5fc3\u3002\uff08\u7f8e\u7d22\u4e0d\u8fbe\u7c73\u4e9a\uff09<br \/>\n11\u6587\u827a\u590d\u5174\u65f6\u671f\u610f\u5927\u5229\u7684\u4f20\u5947\uff1a\u89e3\u4e09\u6b21\u65b9\u7a0b\u5f0f<br \/>\n\uff08\u618e\u6076\u5e73\u51e1\u4eba\u548c\u505a\u4e2a\u51fa\u8272\u7684\u666e\u901a\u4eba\u4e0d\u77db\u76fe\uff09<br \/>\n12\u4ee4\u4eba\u6109\u5feb\u7684\u4e8b\uff1a\u52fe\u80a1\u5b9a\u7406<br \/>\n\u51e0\u4e4e\u6ca1\u6709\u8bc1\u636e\u8868\u660e\u6bd5\u8fbe\u54e5\u62c9\u65af\u672c\u4eba\u5bf9\u6570\u5b66\u611f\u5174\u8da3\uff0c\u7136\u800c\uff0c\u4f17\u6240\u4f17\u77e5\uff0c\u4ed6\u662f\u4e00\u4e2a\u793e\u4f1a\u7ec4\u7ec7\u7684\u521b\u59cb\u4eba\uff0c\u4e00\u4e2a\u5b66\u4e60\u548c\u6c89\u601d\u7684\u56e2\u4f53\uff0c\u53eb\u505a\u6bd5\u8fbe\u54e5\u62c9\u65af\u5144\u5f1f\u4f1a\u6216\u6bd5\u8fbe\u54e5\u62c9\u65af\u5b66\u6d3e\u3002<br \/>\n13\u4e86\u4e0d\u8d77\u7684\u8bc1\u660e\uff1a\uff1b\u8d39\u9a6c\u6700\u540e\u5b9a\u7406<br \/>\n\uff08\u6c42\u5e08\u5f97\u52a9\u6559\u91d1\uff0c\u7269\u7406\u5206\u548c\u82f1\u8bed\u768450%\u524d\u4e09\u540d\u65e0\u5dee\u522b\uff0c\u5e76\u5217\u7684\u770b\u6570\u5b66\uff0c\u770b\u8bed\u6587\uff0c\u770b\u5730\u7406&#8230;\uff09<br \/>\n6\\28\\496<br \/>\n14\u771f\u6b63\u7684\u7f8e\uff1a\u6b27\u51e0\u91cc\u5f97\u5e73\u9762\u51e0\u4f55<br \/>\n\u201c\u552f\u6709\u6b27\u51e0\u91cc\u5f97\uff0c\u770b\u89c1\u4e86\u771f\u6b63\u7684\u7f8e\u4e3d\u3002\u201d<br \/>\n\u6839\u636e\u5e0c\u814a\u5386\u53f2\u5b66\u5bb6\u7684\u89c2\u70b9\uff0c\u51e0\u4f55\u5b66\u4f5c\u4e3a\u4e00\u79cd\u903b\u8f91\u79d1\u5b66\uff0c\u59cb\u4e8e\u516c\u5143\u524d6\u4e16\u7eaa\u7684\u5e0c\u814a\u5bcc\u5546\u6cf0\u52d2\u65af\uff0c\u4ed6\u4eec\u5c06\u4ed6\u63cf\u8ff0\u4e3a\u7b2c\u4e00\u4f4d\u5e0c\u814a\u54f2\u5b66\u5bb6\uff0c\u5e76\u5c06\u5176\u4f5c\u4e3a\u6f14\u7ece\u7814\u7a76\u7684\u51e0\u4f55\u4e4b\u7236\u3002<br \/>\nQ.E.D\u8fd9\u662f\u8981\u8bc1\u660e\u7684\u3002<br \/>\nThe Elements is not just about shapes and numbers; it&#8217;s about how to think!<br \/>\n19\u4e16\u7eaa\u7684\u8036\u9c81\u5927\u5b66&#8230;\u4e00\u6839\u88ab\u70e7\u5f97\u901a\u7ea2\u7684\u94c1\u68d2\u523a\u7a7f\u6b27\u51e0\u91cc\u5f97\u7684\u4e66\u672c\uff0c\u73ed\u4e0a\u7684\u6bcf\u4e2a\u540c\u5b66\u4e00\u6b21\u523a\u7a7f\uff0c\u4ee5\u8c61\u5f81\u4ed6\u5df2\u7ecf\u638c\u63e1\u4e86\u6b27\u51e0\u91cc\u5f97\u7684\u51e0\u4f55\u77e5\u8bc6&#8230;\u6700\u540e\u6bcf\u4e2a\u4eba\u90fd\u628a\u4e66\u9875\u653e\u5728\u811a\u4e0b\u8de8\u8fc7\u53bb\uff0c\u8fd9\u6837\u4ed6\u5c31\u53ef\u4ee5\u8bf4\u628a\u6b27\u51e0\u91cc\u5f97\u7684\u77e5\u8bc6\u629b\u5230\u4e5d\u9704\u4e91\u5916\u4e86\u3002\u63a5\u7740\u662f\u4e3e\u884c\u846c\u793c\u4eea\u5f0f\u3001\u5ba3\u8bfb\u796d\u6587\u548c\u706b\u5316\u300a\u51e0\u4f55\u539f\u672c\u300b\u3002<br \/>\n15\u5b8c\u7f8e\u7684\u5f62\u72b6\uff1a\u67cf\u62c9\u56fe\u7acb\u4f53<br \/>\n\u7531\u4e8e\u67cf\u62c9\u56fe\u5bf9\u5b83\u4eec\u7684\u5174\u8da3\uff0c\u540e\u4eba\u4fbf\u5c06\u8fd9\u4e94\u4e2a\u6b63\u591a\u9762\u4f53\u79f0\u4e4b\u4e3a\u67cf\u62c9\u56fe\u4f53\u3002<br \/>\n\u5e0c\u814a\u6570\u5b66\u5bb6\u5e15\u666e\u65af\u544a\u8bc9\u6211\u4eec\uff0c\u963f\u57fa\u7c73\u5fb7\u8003\u8651\u8fc7\u534a\u6b63\u591a\u9762\u4f53&#8230;<br \/>\n\u5728\u6587\u827a\u590d\u5174\u65f6\u671f\uff0c\u6570\u5b66\u5bb6\u4eec\u53c8\u4e00\u6b21\u5bf9\u6b63\u591a\u9762\u4f53\u548c\u534a\u6b63\u591a\u9762\u4f53\u7740\u8ff7\uff0c\u4ece\u67cf\u62c9\u56fe\u548c\u6b27\u51e0\u91cc\u5f97\u90a3\u91cc\u5b66\u5230\u4e865\u4e2d\u6b63\u591a\u9762\u4f53\uff0c\u4f46\u4ed6\u4eec\u4e2d\u5927\u591a\u6570\u4eba\u4ece\u672a\u8bfb\u8fc7\u5e15\u666e\u65af\uff0c<strong>\u56e0\u6b64\u4ed6\u4eec\u4e0d\u5f97\u4e0d\u91cd\u65b0\u53d1\u73b0\u963f\u57fa\u7c73\u5fb7\u4f53\u3002\u4ed6\u4eec\u53d1\u73b0\u7684\u8fc7\u7a0b\u5f88\u7f13\u6162\uff0c\u4f46\u975e\u5e38\u523a\u6fc0\u3002\u8fd9\u9879\u5de5\u4f5c\u88ab\u5f00\u666e\u52d2\u63a8\u4e0a\u4e86\u9876\u5cf0\uff0c\u4ed6\u53d1\u73b0\u4e86\u6240\u670913\u4e2d\u963f\u57fa\u7c73\u5fb7\u4f53\u5e76\u8bc1\u660e\u6ca1\u6709\u5176\u4ed6\u79cd\u7c7b\u5b58\u5728\uff0c\u3002<\/strong><br \/>\n16\u7528\u6570\u5b57\u8868\u793a\u5f62\u72b6\uff1a\u89e3\u6790\u51e0\u4f55<br \/>\n<strong>\u6570\u5b66\u4e2d\u6700\u6709\u529b\u7684\u601d\u60f3\u4e4b\u4e00\u662f\u7406\u89e3\u5982\u4f55\u7528\u65b9\u7a0b\u8868\u793a\u56fe\u5f62<\/strong>\uff0c\u8fd9\u662f\u4e00\u4e2a\u6211\u4eec\u73b0\u5728\u79f0\u4e4b\u4e3a\u89e3\u6790\u51e0\u4f55\u7684\u9886\u57df\u3002\u6ca1\u6709\u8fd9\u5ea7\u51e0\u4f55\u5b66\u548c\u4ee3\u6570\u4e4b\u95f4\u7684\u6865\u6881\uff0c\u5c31\u6ca1\u6709\u79d1\u5b66\u7684\u5fae\u79ef\u5206\u3001\u533b\u5b66\u7684CT\u626b\u63cf&#8230;<br \/>\n\u7b1b\u5361\u5c14\u786e\u5b9e\u63d0\u51fa\u4e86\u89e3\u6790\u51e0\u4f55\u7684\u5927\u90e8\u5206\u5173\u952e\u601d\u60f3\uff0c\u4f46\u6211\u4eec\u4eca\u5929\u6240\u719f\u77e5\u7684\u76f4\u89d2\u5750\u6807\u7cfb\u5e76\u4e0d\u662f\u5176\u4e2d\u4e4b\u4e00\u3002<br \/>\n\u4e00\u4f4d\u51fa\u751f\u5728\u6cd5\u56fd\u7684\u8d35\u65cf\uff0c\u5e74\u8f7b\u65f6\u5b66\u4e60\u6570\u5b66\uff0c\u58ee\u5e74\u65f6\u6210\u4e3a\u4e00\u540d\u58eb\u5175\uff0c\u5728\u4ed6\u751f\u547d\u7684\u6700\u540e20\u5e74\uff0c\u5219\u662f\u4f4d\u6709\u81ea\u7531\u601d\u60f3\u7684\u8457\u540d\u54f2\u5b66\u5bb6\u548c\u6570\u5b66\u5bb6\u3002<br \/>\n\u201c\u79d1\u5b66\u201d\u4e00\u8bcd\u5f53\u65f6\u7684\u542b\u4e49\u6bd4\u73b0\u5728\u8981\u5e7f\u6cdb\u5f97\u591a\u3002\u201c\u53ea\u8981\u6211\u4eec\u4e0d\u56e0\u5bfb\u6c42\u771f\u7406\u800c\u63a5\u53d7\u9519\u8bef\uff0c\u5e76\u4e14\u6c38\u8fdc\u5728\u6211\u4eec\u7684\u601d\u60f3\u4e2d\u4fdd\u6301\u5fc5\u8981\u7684\u79e9\u5e8f\uff0c\u5c31\u80fd\u4ece\u4e00\u4e2a\u771f\u7406\u4e2d\u6f14\u7ece\u51fa\u53e6\u4e00\u4e2a\u771f\u7406\u3002\u201d<br \/>\n\u7b1b\u5361\u5c14\u6545\u610f\u7701\u7565\u4e86\u8bb8\u591a\u8bc1\u660e\u7684\u7ec6\u8282\uff0c\u5e76\u5411\u8bfb\u8005\u8bf4\uff0c\u4ed6\u4e0d\u60f3\u201c\u5265\u593a\u4f60\u81ea\u5df1\u638c\u63e1\u5b83\u7684\u4e50\u8da3\u201d\u3002<br \/>\n\u89e3\u6790\u51e0\u4f55\u662f\u6570\u5b66\u5927\u8fdb\u6b65\u7684\u5386\u53f2\u94fe\u4e2d\u7684\u4e00\u4e2a\u91cd\u8981\u73af\u8282\u3002\u6b63\u5982\u7b26\u53f7\u4ee3\u6570\u7684\u53d1\u5c55\u4e3a\u89e3\u6790\u51e0\u4f55\u94fa\u5e73\u4e86\u9053\u8def\uff0c\u89e3\u6790\u51e0\u4f55\u53cd\u8fc7\u6765\u53c8\u4e3a\u5fae\u79ef\u5206\u94fa\u5e73\u4e86\u9053\u8def\u3002<br \/>\n17\u4e0d\u53ef\u80fd\u7684\u3001\u60f3\u8c61\u4e2d\u7684\u3001\u6709\u7528\u7684\uff1a\u590d\u6570\u8ba1\u7b97<br \/>\n\uff08\u5411\u91cf\u7684\u8fd0\u7b97\u548c\u590d\u6570\u7684\u8ba1\u7b97\uff09\uff08\u4e2d\u5b66\u6570\u5b66\u7684\u4e0d\u5c11\u77e5\u8bc6\u90fd\u5fd8\u8bb0\u4e86\uff0c\u56e0\u4e3a\u4e0d\u7528\uff0c\u6d89\u53ca\u7684\u95ee\u9898\u901a\u5e38\u7b80\u5355&#8230;\u5c31\u5982\u5f88\u591a\u82f1\u8bed\u5355\u8bcd\u90fd\u5fd8\u8bb0\u4e86\uff0c\u6ca1\u90a3\u4e2a\u8bed\u8a00\u73af\u5883\uff0c\u4e5f\u6ca1\u6709\u7528\u5916\u8bed\u7684\u9700\u8981\u3002\u54d1\u5df4\u7684\u662f\u82f1\u8bed\uff0c\u5176\u4ed6\u5b66\u79d1\u53ef\u80fd\u53ea\u5b66\u4e86\u4e00\u4e2a\u5531&#8230;\uff09<br \/>\n18\u4e00\u534a\u66f4\u597d\uff1a\u6b63\u5f26\u548c\u4f59\u5f26<br \/>\n\u89d2\u5ea6\u6781\u7aef\u662f\u6bd4\u8f83\u56f0\u96be\u7684\uff0c\u56e0\u6b64\uff0c\u5c06\u89d2\u5ea6\u4e0e\u4e00\u4e9b\u7ebf\u6bb5\u5173\u8054\u662f\u5f88\u6709\u7528\u7684\u3002<br \/>\n\u5370\u5ea6\u6570\u5b66\u5bb6\u7684\u534a\u5f26\u548c\u6211\u4eec\u6b63\u5728\u7528\u7684\u6b63\u5f26\u5b8c\u5168\u4e00\u6837\u3002<br \/>\n\u5370\u5ea6\u7684\u6570\u5b66\u601d\u60f3\u90fd\u662f\u901a\u8fc7\u963f\u62c9\u4f2f\u6570\u5b66\u5bb6\u4f20\u5230\u6b27\u6d32\u7684\u3002<br \/>\n\u7ffb\u8bd1jaib\u7684\u65f6\u5019\uff0c\u8bd1\u8005\u9009\u62e9\u4e86\u62c9\u4e01\u6587sinus\u5f2f\u66f2\u5904\uff0c\u8fd9\u4e2a\u8bcd\u6700\u521d\u7684\u610f\u601d\u662f\u80f8\u90e8&#8230;\u6b63\u5f26sine\u3002\u5bf9\u4e8e\u7bad\uff0c\u9996\u5148\u4f7f\u7528\u7684\u8bcd\u8bed\u662f\u62c9\u4e01\u8bedsagitta\uff0c\u540e\u6765\u53d8\u6210\u4e86\u66f4\u65e0\u804a\u7684\u6b63\u77e2&#8212;\u8c08\u8bba\u7bad\u4f1a\u66f4\u6709\u8da3\u3002<br \/>\n19\u5947\u5999\u65b0\u4e16\u754c\uff1a\u975e\u6b27\u51e0\u4f55<br \/>\n\uff08\u4f5c\u4e3a\u4ece\u6570\u5b66\u7ade\u8d5b\u7269\u7406\u7ade\u8d5b\u548c\u8ba1\u7b97\u673a\u7ade\u8d5b\u53d1\u5c55\u8d77\u6765\u7684\u4f18\u624d\u6559\u80b2\uff0c\u7adf\u7136\u72ec\u81ea\u5f00\u8d77\u4e86\u5fc3\u7406\u8282\u3002\uff09<br \/>\n20\u5728\u65c1\u89c2\u8005\u7684\u773c\u4e2d\uff1a\u6444\u5f71\u51e0\u4f55\u5b66<br \/>\n@qiusir:\u81ea\u5df1\u4e2d\u5b66\u65f6\u5b66\u4e60\u4e5f\u5f88\u523b\u82e6\uff0c\u9664\u4e86\u8bed\u6587\u8bfe\u4e0a\u4e2a\u522b\u7684\u8bd7\u53e5\u88ab\u8001\u5e08\u5f15\u5bfc\u7740\u60f3\u8c61\u7684\u610f\u5883\u7684\u7559\u4e0b\u4e86\u5370\u8c61\uff0c\u5176\u4ed6\u7684\u5b66\u4e60\u7684\u76ee\u7684\u4e5f\u4ec5\u4ec5\u662f\u4e3a\u4e86\u5e94\u8bd5\uff0c\u4e0d\u4ec5\u7559\u4e0b\u7684\u5f88\u5c11\uff0c\u800c\u7559\u4e0b\u7684\u90a3\u4e9b\u4e5f\u662f\u6ca1\u7528\u751a\u81f3\u662f\u9519\u8bef\u7684\u903b\u8f91\u3002\u5373\u4fbf\u662f\u73b0\u5728\u5728\u4e2d\u5b66\u6559\u4e66\uff0c\u5f88\u591a\u4e1c\u897f\u4e5f\u662f\u6bd5\u4e1a\u540e\u91cd\u65b0\u6765\u5b66&#8230;\u5f53\u65f6\u7684\u5b66\u4e60\u65b9\u5f0f\u662f\u4e0d\u5bf9\u7684\u3002<br \/>\n\uff08\u4ece\u53e6\u4e00\u4e2a\u65f6\u4ee3\u8d70\u8fc7\u7684\u4eba\uff09\uff08\u591a\u5f69\u7684\u666e\u901a\u4eba\uff09<br \/>\n21\u6e38\u620f\u91cc\u6709\u4ec0\u4e48\uff1a\u6982\u7387\u8bba\u7684\u5f00\u7aef<br 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