{"id":27897,"date":"2017-04-26T01:32:56","date_gmt":"2017-04-25T17:32:56","guid":{"rendered":"https:\/\/case.ntu.edu.tw\/blog\/?p=27897"},"modified":"2018-07-29T08:13:04","modified_gmt":"2018-07-29T00:13:04","slug":"%e3%80%90%e5%a4%a7%e5%ae%87%e5%ae%99%e5%b0%8f%e6%95%85%e4%ba%8b%e3%80%9118-%e7%84%a1%e7%94%a8%e4%b9%8b%e7%94%a8","status":"publish","type":"post","link":"https:\/\/case.ntu.edu.tw\/blog\/?p=27897","title":{"rendered":"\u3010\u5927\u5b87\u5b99\u5c0f\u6545\u4e8b\u301118 \u7121\u7528\u4e4b\u7528"},"content":{"rendered":"<p><strong>\u64b0\u6587\uff5c<\/strong>\u8449\u674e\u83ef<\/p>\n<p>\u63d0\u6d1b\u5cf6\u662f\u611b\u7434\u6d77\u4e2d\u7684\u4e00\u500b\u5cf6\u5dbc\uff0c\u9762\u7a4d\u4e26\u4e0d\u5927\uff0c\u537b\u5728\u53e4\u5e0c\u81d8\u6587\u660e\u4e2d\u4f54\u6709\u91cd\u8981\u5730\u4f4d\u3002\u50b3\u8aaa\u516c\u5143\u524d\u56db\u4e16\u7d00\uff0c\u8a72\u5cf6\u7206\u767c\u4e00\u5834\u5927\u761f\u75ab\uff0c\u5cf6\u6c11\u70ba\u4e86\u6d88\u707d\uff0c\u8d95\u5fd9\u8acb\u793a\u592a\u967d\u795e\u963f\u6ce2\u7f85\uff0c\u5f97\u5230\u7684\u795e\u8aed\u662f\uff1a\u5c07\u795e\u6bbf\u88e1\u7684\u6b63\u7acb\u65b9\u796d\u58c7\u52a0\u500d\u3002\u4e0d\u6599\u5b8c\u5de5\u5f8c\uff0c\u5cf6\u4e0a\u761f\u75ab\u4f9d\u7136\u4e0d\u6b62\u3002\u6562\u60c5\u662f\u5cf6\u6c11\u8aa4\u89e3\u4e86\u795e\u8aed\u7684\u610f\u601d\uff0c\u5c07\u796d\u58c7\u7684\u9577\u5bec\u9ad8\u5206\u5225\u5ef6\u9577\u70ba\u5169\u500d\uff0c\u4f7f\u5f97\u9ad4\u7a4d\u8b8a\u6210\u539f\u4f86\u7684\u516b\u500d\u3002<\/p>\n<p>\u7531\u65bc\u7121\u4eba\u77e5\u66c9\u8a72\u5982\u4f55\u5efa\u9020\u9ad4\u7a4d\u525b\u597d\u662f\u5169\u500d\u7684\u6b63\u7acb\u65b9\u9ad4\uff0c\u4ed6\u5011\u53ea\u597d\u6d3e\u4eba\u524d\u5f80\u96c5\u5178\uff0c\u6c42\u52a9\u65bc\u7576\u6642\u6700\u6709\u540d\u7684\u5b78\u8005\u67cf\u62c9\u5716\u3002<\/p>\n<p>\u63a5\u4e0b\u4f86\u5c31\u662f\u6bd4\u8f03\u53ef\u4fe1\u7684\u4e8b\u8e5f\uff0c\u4e0d\u4e45\u4e4b\u5f8c\uff0c\u67cf\u62c9\u5716\u7684\u518d\u50b3\u5f1f\u5b50\u6885\u6c0f(Menaechmus)\u60f3\u51fa\u4e00\u500b\u5de7\u5999\u7684\u89e3\u6cd5\uff0c\u80fd\u5c07\u4efb\u610f\u9577\u5ea6a\u5ef6\u4f38\u6210\u221b2a\u3002\u9019\u500b\u89e3\u6cd5\u5728\u6578\u5b78\u4e0a\u5b8c\u5168\u6b63\u78ba\uff0c\u5c31\u5efa\u7bc9\u5b78\u800c\u8a00\u4e5f\u5be6\u969b\u53ef\u884c\uff0c\u504f\u504f\u67cf\u62c9\u5716\u5f88\u4e0d\u6eff\u610f\uff0c\u8a8d\u70ba\u6885\u6c0f\u7c21\u76f4\u662f\u6709\u8fb1\u5e2b\u9580\u3002<\/p>\n<p>\u554f\u984c\u5230\u5e95\u51fa\u5728\u54ea\u88e1\u5462\uff1f<!--more--><\/p>\n<p><strong>\u25cf\u5713\u9310\u66f2\u7dda\u7684\u8a95\u751f<\/strong><\/p>\n<p>\u6839\u64da\u53e4\u5e0c\u81d8\u6578\u5b78\u7684\u50b3\u7d71\uff0c\u51e1\u662f\u9019\u7a2e\u5e7e\u4f55\u4f5c\u5716\u984c\uff0c\u4e00\u5f8b\u53ea\u80fd\u4f7f\u7528\u5169\u7a2e\u5de5\u5177\u2500\u2500\u5713\u898f\u548c\u6c92\u6709\u523b\u5ea6\u7684\u76f4\u5c3a\uff0c\u63db\u8a00\u4e4b\uff0c\u53ea\u80fd\u4f7f\u7528\u300c\u5713\u548c\u76f4\u7dda\u300d\u4f86\u89e3\u6c7a\u9019\u985e\u554f\u984c\u3002\u6885\u6c0f\u7684\u65b9\u6cd5\u5247\u8981\u7528\u5230\u62cb\u7269\u7dda\uff0c\u56e0\u6b64\u5728\u592a\u5e2b\u7236\u770b\u4f86\uff0c\u7576\u7136\u8207\u4f5c\u5f0a\u7121\u7570\u3002<\/p>\n<p>\u4f46\u5982\u679c\u62cb\u958b\u67cf\u62c9\u5716\u7684\u611f\u53d7\u4e0d\u8ac7\uff0c\u6885\u6c0f\u7684\u65b9\u6cd5\u5176\u5be6\u662f\u6578\u5b78\u53f2\u4e0a\u7684\u91cd\u8981\u91cc\u7a0b\u7891\u3002<\/p>\n<p>\u5728\u73fe\u4ee3\u6578\u5b78\u4e2d\uff0c\u62cb\u7269\u7dda\u9019\u985e\u300c\u4e8c\u6b21\u66f2\u7dda\u300d\u5c6c\u65bc\u89e3\u6790\u5e7e\u4f55\u7684\u7bc4\u7587\uff0c\u60f3\u5fc5\u5927\u5bb6\u5728\u4e2d\u5b78\u90fd\u5b78\u904e\u3002\u53ef\u662f\u5225\u5fd8\u4e86\uff0c\u89e3\u6790\u5e7e\u4f55\u6b63\u5f0f\u51fa\u73fe\u662f\u5341\u4e03\u4e16\u7d00\u7684\u4e8b\uff0c\u8ddd\u96e2\u67cf\u62c9\u5716\u8db3\u8db3\u6709\u5169\u5343\u5e74\u4e4b\u4e45\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u96d6\u7136\u6211\u5011\u4e0d\u59a8\u501f\u7528\u89e3\u6790\u5e7e\u4f55\u4f86\u89e3\u91cb\u6885\u6c0f\u7684\u65b9\u6cd5\uff0c\u4f46\u8acb\u8a18\u4f4f\u9019\u662f\u500b\u300c\u7a7f\u8d8a\u6642\u7a7a\u300d\u7684\u6298\u8877\u65b9\u6848\u3002<\/p>\n<p>\u6885\u6c0f\u7684\u65b9\u6cd5\u5982\u4e0b\uff1a\u5982\u679c\u796d\u58c7\u539f\u4f86\u7684\u908a\u9577\u7b49\u65bca\uff0c\u6211\u5011\u53ea\u8981\u756b\u51fa\u5169\u689d\u62cb\u7269\u7dda\uff0c\u65b9\u7a0b\u5f0f\u5206\u5225\u70bax<sup>2<\/sup>=ay, y<sup>2<\/sup>=2ax, \u5f88\u5bb9\u6613\u8b49\u660e\u5169\u8005\u9664\u4e86\u76f8\u4ea4\u65bc\u539f\u9ede\uff0c\u9084\u6709\u4e00\u500b\u4ea4\u9ede\u662fx=\u221b2a, y=\u221b4a, \u56e0\u6b64\u7b2c\u4e8c\u500b\u4ea4\u9ede\u7684x\u5ea7\u6a19\u503c\u5c31\u662f\u7b54\u6848\u3002<\/p>\n<figure id=\"attachment_27898\" aria-describedby=\"caption-attachment-27898\" style=\"width: 500px\" class=\"wp-caption aligncenter\"><img fetchpriority=\"high\" decoding=\"async\" class=\"wp-image-27898\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2017\/04\/18-1.jpg\" alt=\"\" width=\"500\" height=\"375\" \/><figcaption id=\"caption-attachment-27898\" class=\"wp-caption-text\">\u4f5c\u8005\u7e6a<\/figcaption><\/figure>\n<p>\u6b64\u5916\u6885\u6c0f\u9084\u767c\u73fe\uff0c\u5982\u679c\u7528\u96d9\u66f2\u7ddaxy=2a<sup>2<\/sup>\u53d6\u4ee3\u4e0a\u8ff0\u4efb\u4f55\u4e00\u689d\u62cb\u7269\u7dda\uff0c\u4e5f\u80fd\u5f97\u5230\u6b63\u78ba\u7684\u7d50\u679c\u3002\u4f46\u7531\u65bc\u53e4\u5e0c\u81d8\u4eba\u6c92\u6709\u73fe\u4ee3\u5ea7\u6a19\u7684\u6982\u5ff5\uff0c\u6885\u6c0f\u5fc5\u9808\u7528\u6bd4\u8f03\u8f9b\u82e6\u7684\u65b9\u5f0f\u9032\u884c\u8a08\u7b97\uff0c\u5728\u6b64\u5c31\u4e0d\u8a73\u8ff0\u4e86\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u6885\u6c0f\u88fd\u9020\u62cb\u7269\u7dda\u548c\u96d9\u66f2\u7dda\u7684\u65b9\u6cd5\u4e0d\u4f46\u5f88\u6709\u5275\u610f\uff0c\u800c\u4e14\u76f8\u7576\u76f4\u89c0\uff0c\u503c\u5f97\u597d\u597d\u4ecb\u7d39\u4e00\u756a\u3002<\/p>\n<p>\u5728\u4ecb\u7d39\u9019\u500b\u65b9\u6cd5\u4e4b\u524d\uff0c\u5148\u8b1b\u4e00\u500b\u95dc\u65bc\u5275\u610f\u7684\u5c0f\u6545\u4e8b\uff1a\u6642\u9593\u5927\u7d04\u662f1513\u5e74\uff0c\u7c73\u958b\u6717\u57fa\u7f85\u770b\u5230\u4e00\u584a\u5927\u7406\u77f3\uff0c\u7acb\u523b\u558a\u9053\uff1a\u300c\u6469\u897f\u5728\u88e1\u9762\uff0c\u6211\u8981\u628a\u4ed6\u91cb\u653e\u51fa\u4f86\uff01\u300d\u4e0d\u4e45\u4e4b\u5f8c\uff0c\u4ed6\u5c31\u5b8c\u6210\u8457\u540d\u7684\u300c\u6469\u897f\u50cf\u300d\u3002\u9019\u5c0a\u96d5\u50cf\u96d6\u8aaa\u662f\u85dd\u8853\u7470\u5bf6\uff0c\u537b\u6709\u500b\u76f8\u7576\u9055\u548c\u4e4b\u8655\uff1a\u6469\u897f\u7adf\u7136\u9577\u4e86\u4e00\u5c0d\u7284\u89d2\uff01\u8ffd\u6839\u7a76\u67e2\uff0c\u554f\u984c\u51fa\u5728\u62c9\u4e01\u6587\u300a\u8056\u7d93\u300b\u7ffb\u8b6f\u54c1\u8cea\u4e0d\u4f73\uff0c\u6469\u897f\u982d\u4e0a\u61c9\u8a72\u662f\u6709\u5e7e\u9053\u5149\u8292\u624d\u5c0d\u3002<\/p>\n<p>\u56de\u5230\u6b63\u984c\u3002\u6885\u6c0f\u548c\u7c73\u958b\u6717\u57fa\u7f85\u4e00\u6a23\u7368\u5177\u6167\u773c\uff0c\u5728\u5e73\u5e73\u51e1\u51e1\u7684\u5713\u9310\u4e2d\uff0c\u5c45\u7136\u770b\u5230\u85cf\u8457\u62cb\u7269\u7dda\u548c\u96d9\u66f2\u7dda\u3002\u300c\u91cb\u653e\u300d\u7684\u65b9\u6cd5\u5247\u5f88\u7c21\u55ae\uff0c\u53ea\u8981\u7528\u4e00\u628a\u8584\u5203\u7684\u5229\u5200\uff0c\u4ee5\u4e0d\u540c\u7684\u89d2\u5ea6\u5207\u958b\u5713\u9310\uff0c\u5f62\u6210\u7684\u300c\u5207\u75d5\u300d\u5c31\u4e0d\u5916\u662f\u62cb\u7269\u7dda\u3001\u96d9\u66f2\u7dda\u6216\u6a62\u5713\u9019\u4e09\u7a2e\u66f2\u7dda(\u6b63\u5713\u5247\u8996\u70ba\u6a62\u5713\u7684\u7279\u4f8b\uff0c\u4ee5\u4e0b\u7686\u540c)\u3002<\/p>\n<p>\u4e0d\u904e\uff0c\u6885\u6c0f\u6216\u8a31\u6709\u9ede\u504f\u57f7\uff0c\u5805\u6301\u8981\u7528\u80d6\u7626\u4e0d\u540c\u7684\u4e09\u7a2e\u5713\u9310\uff0c\u5206\u5225\u5207\u51fa\u6a62\u5713\u3001\u62cb\u7269\u7dda\u548c\u96d9\u66f2\u7dda\u3002\u5982\u4eca\u6211\u5011\u5e38\u898b\u7684\u5207\u6cd5\uff0c\u5247\u662f\u4e00\u767e\u591a\u5e74\u5f8c\u53e6\u4e00\u4f4d\u6578\u5b78\u5bb6\u963f\u6c0f(Apollonius of Perga)\u6240\u63d0\u5021\u7684\uff0c\u4ea6\u5373\u4f7f\u7528\u540c\u4e00\u500b\u5713\u9310\uff0c\u5207\u51fa\u4e0a\u8ff0\u4e09\u7a2e\u4e0d\u540c\u7684\u66f2\u7dda\u3002<\/p>\n<p>\u56e0\u6b64\u4e4b\u6545\uff0c\u9019\u4e09\u7a2e\u66f2\u7dda\u81f3\u4eca\u4ecd\u7d71\u7a31\u70ba\u5713\u9310\u66f2\u7dda\u3002\u7576\u7136\uff0c\u82e5\u8981\u5f97\u5230\u5b8c\u6574\u7684\u96d9\u66f2\u7dda\uff0c\u4e00\u500b\u5713\u9310\u7d55\u5c0d\u4e0d\u5920\uff0c\u9700\u8981\u5169\u500b\u5713\u9310\u300c\u758a\u7f85\u6f22\u300d\u624d\u884c\u3002<\/p>\n<figure id=\"attachment_27912\" aria-describedby=\"caption-attachment-27912\" style=\"width: 700px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" class=\"wp-image-27912\" src=\"http:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2016\/04\/18a.png\" alt=\"\" width=\"700\" height=\"451\" \/><figcaption id=\"caption-attachment-27912\" class=\"wp-caption-text\">(\u5de6)\u5728\u5713\u9310\u4e0a\u4f9d\u5e8f\u5207\u51fa\u6b63\u5713\u3001\u6a62\u5713\u3001\u62cb\u7269\u7dda\u8207\u96d9\u66f2\u7dda\u7684\u4e00\u652f\uff1b(\u53f3)\u5728\u96d9\u5713\u9310\u4e0a\u5207\u51fa\u5b8c\u6574\u7684\u96d9\u66f2\u7dda<br \/>(\u5716\u50cf\u4f86\u6e90\uff1a\u7dad\u57fa\u767e\u79d1)<\/figcaption><\/figure>\n<p>&nbsp;<\/p>\n<p><strong>\u25cf\u6697\u85cf\u7384\u6a5f\u7684\u540d\u5b57<\/strong><\/p>\n<p>\u62cb\u7269\u7dda\u3001\u96d9\u66f2\u7dda\u3001\u6a62\u5713\u9019\u4e09\u500b\u4e2d\u6587\u540d\u8a5e\u4e26\u6c92\u6709\u4efb\u4f55\u8108\u7d61\u3002\u6216\u8a31\u6b63\u56e0\u70ba\u5982\u6b64\uff0c\u9020\u6210\u521d\u5b78\u8005\u4e0d\u5c11\u56f0\u64fe\u3002\u300c\u62cb\u7269\u7dda\u300d\u9019\u500b\u8b6f\u540d\u53ef\u4ee5\u9867\u540d\u601d\u7fa9\uff1b\u300c\u96d9\u66f2\u7dda\u300d\u5247\u662f\u6578\u5b78\u5c08\u6709\u540d\u8a5e\uff0c\u5176\u4e2d\u7684\u300c\u96d9\u300d\u662f\u5f37\u8abf\u5b83\u6709\u5169\u6bb5\uff1b\u800c\u300c\u6a62\u5713\u300d\u6700\u7c21\u55ae\uff0c\u65e9\u5df2\u6210\u70ba\u65e5\u5e38\u751f\u6d3b\u7684\u8a5e\u5f59\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u9019\u4e09\u7a2e\u66f2\u7dda\u7684\u82f1\u6587\u5247\u5f88\u6709\u908f\u8f2f\uff1a\u62cb\u7269\u7dda(parabola)\u3001\u96d9\u66f2\u7dda(hyperbola)\u3001\u6a62\u5713(ellipse)\u5206\u5225\u610f\u5473\u8457\u300c\u5e73\u8d77\u5e73\u5750\u300d\u3001\u300c\u8d85\u904e\u300d\u3001\u300c\u4e0d\u53ca\u300d(\u5e0c\u81d8\u6587\u6e90\u982d\u7684\u610f\u7fa9\u5247\u7a0d\u6709\u4e0d\u540c)\u3002\u5982\u679c\u6211\u5011\u7528\u300c\u5207\u51fa\u62cb\u7269\u7dda\u7684\u89d2\u5ea6\u300d\u7576\u4f5c\u57fa\u6e96\uff0c\u90a3\u9ebc\u96d9\u66f2\u7dda\u548c\u6a62\u5713\u5c31\u5c0d\u61c9\u65bc\u5200\u9762\u7684\u89d2\u5ea6\u300c\u8d85\u904e\u300d\u548c\u300c\u4e0d\u53ca\u300d\u90a3\u500b\u57fa\u6e96\u3002\u56e0\u6b64\u4e0d\u59a8\u5c07\u9019\u4e09\u7a2e\u66f2\u7dda\u7ffb\u8b6f\u6210\u300c\u6070\u597d\u66f2\u7dda\u300d\u3001\u300c\u8d85\u904e\u66f2\u7dda\u300d\u548c\u300c\u4e0d\u53ca\u66f2\u7dda\u300d\uff0c\u6216\u662f\u66f4\u6587\u96c5\u7684\u300c\u6eff\u66f2\u7dda\u300d\u3001\u300c\u76c8\u66f2\u7dda\u300d\u548c\u300c\u8667\u66f2\u7dda\u300d\u3002<\/p>\n<p>\u5c31\u9019\u500b\u89c0\u9ede\u800c\u8a00\uff0c\u62cb\u7269\u7dda\u525b\u597d\u4ecb\u65bc\u96d9\u66f2\u7dda\u548c\u6a62\u5713\u4e4b\u9593\uff0c\u6b63\u5982\u540c\u96f6\u525b\u597d\u4ecb\u65bc\u6b63\u6578\u548c\u8ca0\u6578\u4e4b\u9593\u3002\u6240\u4ee5\u62cb\u7269\u7dda\u5728\u67d0\u4e9b\u65b9\u9762\u985e\u4f3c\u6a62\u5713(\u53ea\u6709\u4e00\u6bb5)\uff0c\u67d0\u4e9b\u6027\u8cea\u53c8\u985e\u4f3c\u96d9\u66f2\u7dda(\u5ef6\u4f38\u5230\u7121\u9650\u9060)\u3002\u82e5\u7528\u4f0a\u7d22\u5bd3\u8a00\u4f86\u6bd4\u55bb\uff0c\u5b83\u5c31\u662f\u52d5\u7269\u754c\u7684\u8759\u8760\u3002<\/p>\n<p><strong>\u25cf\u6709\u7528\u7121\u7528\uff1f<\/strong><\/p>\n<p>\u518d\u8b1b\u500b\u6545\u4e8b\uff0c\u6709\u500b\u5e74\u8f15\u5b78\u5b50\u8acb\u6559\u6b50\u5e7e\u91cc\u5f97\u4e00\u500b\u554f\u984c\uff1a\u5e7e\u4f55\u5230\u5e95\u6709\u4ec0\u9ebc\u7528\uff1f\u6b50\u6c0f\u7acb\u523b\u677f\u8d77\u81c9\u5b54\u7b54\u9053\uff1a\u65e2\u7136\u4f60\u8981\u6c42\u56de\u5831\uff0c\u6211\u7d66\u4f60\u4e00\u500b\u9285\u677f\u5427\uff01(\u63a5\u4e0b\u4f86\u7684\u60c5\u7bc0\u5927\u53ef\u81ea\u884c\u60f3\u50cf\u3002)<\/p>\n<p>\u4e0d\u7ba1\u9019\u500b\u6545\u4e8b\u662f\u771f\u662f\u5047\uff0c\u90fd\u8aaa\u660e\u4e86\u53e4\u5e0c\u81d8\u5b78\u8005\u5c0d\u6578\u5b78\u7684\u614b\u5ea6\u662f\u300c\u70ba\u7814\u7a76\u800c\u7814\u7a76\u300d\uff0c\u4e26\u4e0d\u95dc\u5fc3\u7814\u7a76\u6210\u679c\u662f\u5426\u6709\u5be6\u969b\u61c9\u7528\u3002\u963f\u6c0f\u81ea\u7136\u4e0d\u4f8b\u5916\uff0c\u4ed6\u5c0d\u5713\u9310\u66f2\u7dda\u505a\u4e86\u5341\u5206\u5b8c\u6574\u7684\u63a2\u8a0e\uff0c\u6700\u5f8c\u5beb\u6210\u4e00\u672c\u5c08\u66f8\uff0c\u537b\u96bb\u5b57\u672a\u63d0\u5713\u9310\u66f2\u7dda\u7684\u61c9\u7528\u50f9\u503c\u3002<\/p>\n<p>\u7136\u800c\u5728\u79d1\u5b78\u767c\u5c55\u53f2\u4e0a\uff0c\u7d93\u5e38\u6703\u51fa\u73fe\u4e00\u7a2e\u8010\u4eba\u5c0b\u5473\u7684\u60c5\u5f62\uff1a\u7576\u6642\u6a5f\u6210\u719f\u6642\uff0c\u7d14\u6578\u5b78\u5c31\u6703\u8d70\u51fa\u8c61\u7259\u5854\uff0c\u6210\u70ba\u79d1\u5b78\u5bb6\u7814\u7a76\u81ea\u7136\u73fe\u8c61(\u751a\u81f3\u793e\u6703\u73fe\u8c61)\u7684\u6709\u529b\u5de5\u5177\u3002<\/p>\n<p>\u6700\u73fe\u6210\u7684\u4f8b\u5b50\uff0c\u5c31\u662f\u5713\u9310\u66f2\u7dda\u5728\u5929\u6587\u5b78\u4e0a\u7684\u61c9\u7528\u3002\u4f8b\u5982\u514b\u535c\u52d2\u5728\u5341\u4e03\u4e16\u7d00\u521d\uff0c\u6839\u64da\u5927\u91cf\u7684\u89c0\u6e2c\u6578\u64da\uff0c\u5927\u81bd\u63a8\u6e2c\u884c\u661f\u8ecc\u9053\u90fd\u662f\u6a62\u5713(\u4ea6\u5373\u6240\u8b02\u7684\u514b\u535c\u52d2\u7b2c\u4e00\u5b9a\u5f8b)\u3002\u4e03\u5341\u591a\u5e74\u5f8c\uff0c\u7576\u725b\u9813\u64b0\u5beb\u300a\u81ea\u7136\u54f2\u5b78\u7684\u6578\u5b78\u539f\u7406\u300b\u6642\uff0c\u767c\u73fe\u963f\u6c0f\u65e9\u5c31\u70ba\u4ed6\u6e96\u5099\u597d\u4e86\u5e7e\u4f55\u5de5\u5177\u3002\u63db\u53e5\u8a71\u8aaa\uff0c\u725b\u9813\u662f\u7ad9\u5728\u963f\u6c0f\u80a9\u4e0a\u8b49\u660e\u51fa\u4e0b\u5217\u4e8b\u5be6\uff1a\u592a\u967d\u7cfb\u7684\u5929\u9ad4\u8ecc\u9053\u4e00\u5b9a\u662f\u5713\u9310\u66f2\u7dda\uff1b\u6a62\u5713\u8ecc\u9053\u5c0d\u61c9\u65bc\u884c\u661f\u548c\u9031\u671f\u5f57\u661f\uff0c\u62cb\u7269\u7dda\u548c\u96d9\u66f2\u7dda\u5247\u5c0d\u61c9\u975e\u9031\u671f\u5f57\u661f\u3002<\/p>\n<p>\u5f9e\u6b64\u4ee5\u5f8c\uff0c\u985e\u4f3c\u7684\u60c5\u7bc0\u5728\u79d1\u5b78\u53f2\u4e0a\u4e0d\u65b7\u4e0a\u6f14\uff0c\u76f4\u5230\u5982\u4eca\u3002<\/p>\n<p><strong>\u25cf\u610f\u5916\u526f\u7522\u54c1<\/strong><\/p>\n<p>\u56de\u9867\u5713\u9310\u66f2\u7dda\u7684\u6b77\u53f2\uff0c\u76f8\u4fe1\u5927\u5bb6\u61c9\u8a72\u540c\u610f\uff0c\u5b83\u53ef\u8aaa\u662f\u6b50\u6c0f\u5e7e\u4f55\u7684\u610f\u5916\u526f\u7522\u54c1\u3002<\/p>\n<p>\u5728\u6b50\u6c0f\u5e7e\u4f55\u4e2d\uff0c\u4f5c\u5716\u984c\u53ea\u80fd\u4f7f\u7528\u5713\u898f\u8207\u76f4\u5c3a\uff0c\u56e0\u6b64\u7559\u4e0b\u6240\u8b02\u7684\u300c\u4e09\u5927\u96e3\u984c\u300d(\u8acb\u53c3\u8003\u3008<a href=\"http:\/\/case.ntu.edu.tw\/blog\/?p=27378\">\u6b50\u5e7e\u91cc\u5f97\u6545\u4e8b\u96c6<\/a>\u3009)\uff0c\u958b\u982d\u63d0\u5230\u7684\u300c\u52a0\u500d\u7acb\u65b9\u9ad4\u9ad4\u7a4d\u300d\u5c31\u662f\u5176\u4e2d\u4e4b\u4e00\u3002\u6885\u6c0f\u4e0d\u6309\u724c\u7406\u51fa\u724c\uff0c\u7528\u72af\u898f\u7684\u65b9\u6cd5\u5f97\u5230\u89e3\u7b54\uff0c\u96d6\u7136\u4e0d\u88ab\u7576\u6642\u5b78\u754c\u8a8d\u53ef\uff0c\u537b\u56e0\u800c\u958b\u555f\u4e86\u5713\u9310\u66f2\u7dda\u7684\u7814\u7a76\u3002<\/p>\n<p>\u7531\u6b64\u53ef\u898b\uff0c\u96e3\u984c\u6b63\u662f\u6578\u5b78\u767c\u5c55\u7684\u6700\u4f73\u50ac\u5316\u5291\u3002\u5373\u4f7f\u96e3\u984c\u672c\u8eab\u66ab\u6642\u7121\u89e3\uff0c\u5b83\u6240\u50ac\u5316\u7684\u7d50\u679c\u53ef\u80fd\u65e9\u5df2\u958b\u679d\u6563\u8449\uff0c\u751a\u81f3\u9020\u798f\u4eba\u7fa4\u3002<\/p>\n<p>\u4e0d\u904e\uff0c\u6211\u5011\u9084\u662f\u61c9\u8a72\u95dc\u5fc3\u4e00\u4e0b\uff0c\u5f8c\u4f86\u6709\u6c92\u6709\u4eba\u627e\u51fa\u300c\u52a0\u500d\u7acb\u65b9\u9ad4\u9ad4\u7a4d\u300d\u7684\u6b63\u78ba\u89e3\u7b54\u3002<\/p>\n<p>\u7d50\u679c\u6216\u8a31\u6709\u9ede\u53cd\u9ad8\u6f6e\uff0c\u516c\u51431837\u5e74\uff0c\u6cd5\u570b\u6578\u5b78\u5bb6\u6c6a\u6c0f(Pierre Wantzel)\u8b49\u660e\u4e86\u50c5\u7528\u5713\u898f\u548c\u76f4\u5c3a\u7d55\u5c0d\u7121\u6cd5\u89e3\u6c7a\u9019\u500b\u554f\u984c\u3002\u7136\u800c\uff0c\u8ca0\u9762\u7d50\u679c\u4e26\u672a\u6298\u640d\u9019\u9053\u96e3\u984c\u7684\u6b77\u53f2\u5730\u4f4d\uff0c\u597d\u6b79\u5b83\u50ac\u751f\u51fa\u4e86\u5713\u9310\u66f2\u7dda\u7406\u8ad6\u3002\u5728\u6578\u5b78\u4e2d\uff0c\u81f3\u5c11\u5c31\u77e5\u540d\u5ea6\u800c\u8a00\uff0c\u5713\u9310\u66f2\u7dda\u9060\u52dd\u65bc\u4e09\u5927\u96e3\u984c\u7684\u4efb\u4f55\u4e00\u984c\u3002<\/p>\n<p>\u6709\u8da3\u7684\u662f\uff0c\u5713\u9310\u66f2\u7dda\u672c\u8eab\u4e5f\u6709\u610f\u5916\u7684\u526f\u7522\u54c1\u2500\u2500\u7528\u4f86\u7576\u4f5c\u5206\u985e\u7684\u5de5\u5177\u3002\u525b\u624d\u8aaa\u904e\uff0c\u4e09\u7a2e\u5713\u9310\u66f2\u7dda\u53ef\u4ee5\u7ffb\u8b6f\u6210\u300c\u6070\u597d\u66f2\u7dda\u300d\u3001\u300c\u8d85\u904e\u66f2\u7dda\u300d\u548c\u300c\u4e0d\u53ca\u66f2\u7dda\u300d\uff0c\u6240\u4ee5\u300c\u62cb\u7269\u300d\u3001\u300c\u96d9\u66f2\u300d\u3001\u300c\u6a62\u5713\u300d\u9019\u4e09\u500b\u5f62\u5bb9\u8a5e\u5f88\u9069\u5408\u7528\u65bc\u4e09\u5206\u6cd5\u3002<\/p>\n<p>\u8209\u4f8b\u4f86\u8aaa\uff0c\u5728\u4e00\u516b\u4e03\u96f6\u5e74\u4ee3\uff0c\u975e\u6b50\u5e7e\u4f55\u84ec\u52c3\u767c\u5c55\u4e4b\u969b\uff0c\u5fb7\u570b\u6578\u5b78\u5bb6\u514b\u840a\u56e0(Felix Klein)\u5c31\u66fe\u63d0\u5021\u5c07\u5169\u7a2e\u975e\u6b50\u5e7e\u4f55\u7a31\u70ba\u300c\u96d9\u66f2\u5e7e\u4f55\u300d\u8207\u300c\u6a62\u5713\u5e7e\u4f55\u300d\uff0c\u800c\u5c07\u6b50\u6c0f\u5e7e\u4f55\u6539\u540d\u70ba\u300c\u62cb\u7269\u5e7e\u4f55\u300d\u3002<\/p>\n<p>\u514b\u840a\u56e0\u7684\u5021\u8b70\u6210\u529f\u4e86\u4e09\u5206\u4e4b\u4e8c\uff0c\u56e0\u70ba\u300c\u96d9\u66f2\u5e7e\u4f55\u300d\u8207\u300c\u6a62\u5713\u5e7e\u4f55\u300d\u65e9\u5df2\u662f\u6a19\u6e96\u7684\u6578\u5b78\u540d\u8a5e\u3002\u9019\u5169\u7a2e\u975e\u6b50\u5e7e\u4f55\u4e5f\u670d\u5f9e\u4e0a\u8ff0\u7684\u6b77\u53f2\u898f\u5f8b\uff0c\u7576\u6642\u6a5f\u6210\u719f\u6642\uff0c\u5b83\u5011\u8d70\u51fa\u8c61\u7259\u5854\uff0c\u6210\u70ba\u79d1\u5b78\u5bb6\u7814\u7a76\u5b87\u5b99\u7d50\u69cb\u7684\u6709\u529b\u5de5\u5177\u3002\u4e0d\u4e45\u4e4b\u5f8c\uff0c\u6211\u5011\u5c31\u6703\u597d\u597d\u8a0e\u8ad6\u9019\u6bb5\u6b77\u53f2\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>\u8a3b\u4e00\uff1a\u5341\u4e5d\u4e16\u7d00\u6642\uff0c\u4e09\u5927\u96e3\u984c\u9678\u7e8c\u88ab\u8b49\u660e\u70ba\u4e0d\u53ef\u80fd\uff0c\u5176\u4e2d\u300c\u4e09\u7b49\u5206\u4efb\u610f\u89d2\u300d\u8207\u300c\u52a0\u500d\u7acb\u65b9\u9ad4\u9ad4\u7a4d\u300d\u7684\u8b49\u660e\u51fa\u81ea\u540c\u4e00\u7bc7\u8ad6\u6587\uff0c\u53e6\u4e00\u984c\u300c\u6839\u64da\u5713\u9762\u7a4d\u756b\u4e00\u500b\u6b63\u65b9\u5f62\u300d\u7684\u8ca0\u9762\u7d50\u679c\u5247\u662f\u6797\u6c0f(Ferdinand von Lindemann)1882\u5e74\u7814\u7a76\u5713\u5468\u7387\u7684\u526f\u7522\u54c1\u3002<\/p>\n<p>\u8a3b\u4e8c\uff1a\u56b4\u683c\u8aaa\u4f86\uff0c\u514b\u840a\u56e0\u662f\u6839\u64da\u300c\u5c04\u5f71\u5e7e\u4f55\u300d\u7406\u8ad6\uff0c\u8b93\u62cb\u7269\u7dda\u3001\u96d9\u66f2\u7dda\u3001\u6a62\u5713\u5206\u5225\u5c0d\u61c91, 2, 0\u9019\u4e09\u500b\u6578\uff0c\u85c9\u4ee5\u547c\u61c9\u300c\u62cb\u7269\u5e7e\u4f55\u5c0d\u61c9\u4e00\u689d\u5e73\u884c\u7dda\u300d\u3001\u300c\u96d9\u66f2\u5e7e\u4f55\u5c0d\u61c9(\u81f3\u5c11)\u5169\u689d\u5e73\u884c\u7dda\u300d\u4ee5\u53ca\u300c\u6a62\u5713\u5e7e\u4f55\u5c0d\u61c9\u96f6\u689d\u5e73\u884c\u7dda\u300d\u3002<\/p>\n<p>\u8a3b\u4e09\uff1a\u62cb\u7269\u7dda(parabola)\u3001\u96d9\u66f2\u7dda(hyperbola)\u3001\u6a62\u5713(ellipse)\u9019\u4e09\u500b\u540d\u8a5e\u7684\u6e90\u982d\u662f\u963f\u6c0f\u4ee5\u53e4\u5e0c\u81d8\u6587\u5beb\u6210\u7684\u300a\u5713\u9310\u66f2\u7dda\u300b\uff0c\u4ed6\u6240\u7528\u7684\u300c\u9020\u5b57\u898f\u5247\u300d\u5176\u5be6\u548c\u5713\u9310\u5207\u75d5\u7121\u95dc\uff0c\u4f46\u7531\u65bc\u727d\u6d89\u5230\u592a\u7463\u788e\u7684\u7d30\u7bc0\uff0c\u5728\u6b64\u53ea\u80fd\u8868\u904e\u5c31\u7b97\u3002<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/line.me\/R\/ti\/p\/%40fcx6182w\" target=\"_blank\" rel=\"noopener noreferrer\"><img decoding=\"async\" class=\"alignnone\" src=\"https:\/\/scdn.line-apps.com\/n\/line_add_friends\/btn\/zh-Hant.png\" alt=\"\u52a0\u5165\u597d\u53cb\" width=\"212\" height=\"36\" border=\"0\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u514b\u535c\u52d2\u5728\u5341\u4e03\u4e16\u7d00\u521d\uff0c\u6839\u64da\u5927\u91cf\u7684\u89c0\u6e2c\u6578\u64da\uff0c\u5927\u81bd\u63a8\u6e2c\u884c\u661f\u8ecc\u9053\u90fd\u662f\u6a62\u5713(\u4ea6\u5373\u6240\u8b02\u7684\u514b\u535c\u52d2\u7b2c\u4e00\u5b9a\u5f8b)\u3002\u4e03\u5341\u591a\u5e74\u5f8c\uff0c\u7576\u725b\u9813\u64b0\u5beb\u300a\u81ea\u7136\u54f2\u5b78\u7684\u6578\u5b78\u539f\u7406\u300b\u6642\uff0c\u767c\u73fe\u963f\u6c0f(Apollonius)\u65e9\u5c31\u70ba\u4ed6\u6e96\u5099\u597d\u4e86\u5e7e\u4f55\u5de5\u5177\u3002\u63db\u53e5\u8a71\u8aaa\uff0c\u725b\u9813\u662f\u7ad9\u5728\u963f\u6c0f\u80a9\u4e0a\u8b49\u660e\u51fa\u4e0b\u5217\u4e8b\u5be6\uff1a\u592a\u967d\u7cfb\u7684\u5929\u9ad4\u8ecc\u9053\u4e00\u5b9a\u662f\u5713\u9310\u66f2\u7dda\uff1b\u6a62\u5713\u8ecc\u9053\u5c0d\u61c9\u65bc\u884c\u661f\u548c\u9031\u671f\u5f57\u661f\uff0c\u62cb\u7269\u7dda\u548c\u96d9\u66f2\u7dda\u5247\u5c0d\u61c9\u975e\u9031\u671f\u5f57\u661f\u3002<\/p>\n","protected":false},"author":20,"featured_media":27916,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3112,3293],"tags":[3364,3276,3363,3365],"aioseo_notices":[],"jetpack_featured_media_url":"https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2016\/04\/18a-1.png","_links":{"self":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/27897"}],"collection":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/users\/20"}],"replies":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=27897"}],"version-history":[{"count":7,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/27897\/revisions"}],"predecessor-version":[{"id":31714,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/27897\/revisions\/31714"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/media\/27916"}],"wp:attachment":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=27897"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=27897"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=27897"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}