{"id":3159,"date":"2016-02-01T11:00:10","date_gmt":"2016-02-01T03:00:10","guid":{"rendered":"https:\/\/www.ecjtu.com\/keith\/archives\/3159"},"modified":"2016-02-01T11:00:10","modified_gmt":"2016-02-01T03:00:10","slug":"%e5%82%85%e9%87%8c%e5%8f%b6%e5%88%86%e6%9e%90%e4%b9%8b%e6%8e%90%e6%ad%bb%e6%95%99%e7%a8%8b","status":"publish","type":"post","link":"https:\/\/www.ecjtu.com\/keith\/archives\/3159","title":{"rendered":"\u5085\u91cc\u53f6\u5206\u6790\u4e4b\u6390\u6b7b\u6559\u7a0b"},"content":{"rendered":"<div>\n<p>\u6211\u4fdd\u8bc1\u8fd9\u7bc7\u6587\u7ae0\u548c\u4f60\u4ee5\u524d\u770b\u8fc7\u7684\u6240\u6709\u6587\u7ae0\u90fd\u4e0d\u540c\uff0c\u8fd9\u662f12\u5e74\u8fd8\u5728\u679c\u58f3\u7684\u65f6\u5019\u5199\u7684\uff0c\u4f46\u662f\u5f53\u65f6\u6ca1\u6709\u6765\u5f97\u53ca\u5199\u5b8c\u5c31\u51fa\u56fd\u4e86\u2026\u2026\u4e8e\u662f\u62d6\u4e86\u4e24\u5e74\uff0c\u55ef\uff0c\u6211\u662f\u62d6\u5ef6\u75c7\u60a3\u8005\u2026\u2026<\/p>\n<p>\u8fd9\u7bc7\u6587\u7ae0\u7684\u6838\u5fc3\u601d\u60f3\u5c31\u662f\uff1a<\/p>\n<h2>\u8981\u8ba9\u8bfb\u8005\u5728\u4e0d\u770b\u4efb\u4f55\u6570\u5b66\u516c\u5f0f\u7684\u60c5\u51b5\u4e0b\u7406\u89e3\u5085\u91cc\u53f6\u5206\u6790\u3002<\/h2>\n<p>\u5085\u91cc\u53f6\u5206\u6790\u4e0d\u4ec5\u4ec5\u662f\u4e00\u4e2a\u6570\u5b66\u5de5\u5177\uff0c\u66f4\u662f\u4e00\u79cd\u53ef\u4ee5\u5f7b\u5e95\u98a0\u8986\u4e00\u4e2a\u4eba\u4ee5\u524d\u4e16\u754c\u89c2\u7684\u601d\u7ef4\u6a21\u5f0f\u3002\u4f46\u4e0d\u5e78\u7684\u662f\uff0c\u5085\u91cc\u53f6\u5206\u6790\u7684\u516c\u5f0f\u770b\u8d77\u6765\u592a\u590d\u6742\u4e86\uff0c\u6240\u4ee5\u5f88\u591a\u5927\u4e00\u65b0\u751f\u4e0a\u6765\u5c31\u61f5\u5708\u5e76\u4ece\u6b64\u5bf9\u5b83\u6df1\u6076\u75db\u7edd\u3002\u8001\u5b9e\u8bf4\uff0c\u8fd9\u4e48\u6709\u610f\u601d\u7684\u4e1c\u897f\u5c45\u7136\u6210\u4e86\u5927\u5b66\u91cc\u7684\u6740\u624b\u8bfe\u7a0b\uff0c\u4e0d\u5f97\u4e0d\u5f52\u548e\u4e8e\u7f16\u6559\u6750\u7684\u4eba\u5b9e\u5728\u662f\u592a\u4e25\u8083\u4e86\u3002\uff08\u60a8\u628a\u6559\u6750\u5199\u5f97\u597d\u73a9\u4e00\u70b9\u4f1a\u6b7b\u5417\uff1f\u4f1a\u6b7b\u5417\uff1f\uff09\u6240\u4ee5\u6211\u4e00\u76f4\u60f3\u5199\u4e00\u4e2a\u6709\u610f\u601d\u7684\u6587\u7ae0\u6765\u89e3\u91ca\u5085\u91cc\u53f6\u5206\u6790\uff0c\u6709\u53ef\u80fd\u7684\u8bdd\u9ad8\u4e2d\u751f\u90fd\u80fd\u770b\u61c2\u7684\u90a3\u79cd\u3002\u6240\u4ee5\uff0c\u4e0d\u7ba1\u8bfb\u5230\u8fd9\u91cc\u7684\u60a8\u4ece\u4e8b\u4f55\u79cd\u5de5\u4f5c\uff0c\u6211\u4fdd\u8bc1\u60a8\u90fd\u80fd\u770b\u61c2\uff0c\u5e76\u4e14\u4e00\u5b9a\u5c06\u4f53\u4f1a\u5230\u901a\u8fc7\u5085\u91cc\u53f6\u5206\u6790\u770b\u5230\u4e16\u754c\u53e6\u4e00\u4e2a\u6837\u5b50\u65f6\u7684\u5feb\u611f\u3002\u81f3\u4e8e\u5bf9\u4e8e\u5df2\u7ecf\u6709\u4e00\u5b9a\u57fa\u7840\u7684\u670b\u53cb\uff0c\u4e5f\u5e0c\u671b\u4e0d\u8981\u770b\u5230\u4f1a\u7684\u5730\u65b9\u5c31\u6025\u5fd9\u5f80\u540e\u7ffb\uff0c\u4ed4\u7ec6\u8bfb\u4e00\u5b9a\u4f1a\u6709\u65b0\u7684\u53d1\u73b0\u3002<\/p>\n<p>\u2014\u2014\u2014\u2014\u4ee5\u4e0a\u662f\u5b9a\u573a\u8bd7\u2014\u2014\u2014\u2014<\/p>\n<p>\u4e0b\u9762\u8fdb\u5165\u6b63\u9898\uff1a<\/p>\n<p>\u62b1\u6b49\uff0c\u8fd8\u662f\u8981\u5570\u55e6\u4e00\u53e5\uff1a\u5176\u5b9e\u5b66\u4e60\u672c\u6765\u5c31\u4e0d\u662f\u6613\u4e8b\uff0c\u6211\u5199\u8fd9\u7bc7\u6587\u7ae0\u7684\u521d\u8877\u4e5f\u662f\u5e0c\u671b\u5927\u5bb6\u5b66\u4e60\u8d77\u6765\u66f4\u52a0\u8f7b\u677e\uff0c\u5145\u6ee1\u4e50\u8da3\u3002\u4f46\u662f\u5343\u4e07\uff01\u5343\u4e07\u4e0d\u8981\u628a\u8fd9\u7bc7\u6587\u7ae0\u6536\u85cf\u8d77\u6765\uff0c\u6216\u662f\u5b58\u4e0b\u5730\u5740\uff0c\u5fc3\u91cc\u60f3\u7740\uff1a\u4ee5\u540e\u6709\u65f6\u95f4\u518d\u770b\u3002\u8fd9\u6837\u7684\u4f8b\u5b50\u592a\u591a\u4e86\uff0c\u4e5f\u8bb8\u51e0\u5e74\u540e\u4f60\u90fd\u6ca1\u6709\u518d\u6253\u5f00\u8fd9\u4e2a\u9875\u9762\u3002\u65e0\u8bba\u5982\u4f55\uff0c\u8010\u4e0b\u5fc3\uff0c\u8bfb\u4e0b\u53bb\u3002\u8fd9\u7bc7\u6587\u7ae0\u8981\u6bd4\u8bfb\u8bfe\u672c\u8981\u8f7b\u677e\u3001\u5f00\u5fc3\u5f97\u591a\u2026\u2026<\/p>\n<p>p.s.\u672c\u6587\u65e0\u8bba\u662fcos\u8fd8\u662fsin\uff0c\u90fd\u7edf\u4e00\u7528\u201c\u6b63\u5f26\u6ce2\u201d\uff08Sine 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src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/8e1fce9d7607d97cebf73e1f36f03f06_b.jpg\" alt=\"8e1fce9d7607d97cebf73e1f36f03f06_b\" width=\"600\" height=\"203\" \/><\/a><br 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Serie\uff09\u548c\u5085\u91cc\u53f6\u53d8\u6362(Fourier Transformation)\uff0c\u6211\u4eec\u4ece\u7b80\u5355\u7684\u5f00\u59cb\u8c08\u8d77\u3002<\/p>\n<h2>\u4e8c\u3001\u5085\u91cc\u53f6\u7ea7\u6570(Fourier Series)\u7684\u9891\u8c31<\/h2>\n<p>\u8fd8\u662f\u4e3e\u4e2a\u6817\u5b50\u5e76\u4e14\u6709\u56fe\u6709\u771f\u76f8\u624d\u597d\u7406\u89e3\u3002<\/p>\n<p>\u5982\u679c\u6211\u8bf4\u6211\u80fd\u7528\u524d\u9762\u8bf4\u7684\u6b63\u5f26\u66f2\u7ebf\u6ce2\u53e0\u52a0\u51fa\u4e00\u4e2a\u5e2690\u5ea6\u89d2\u7684\u77e9\u5f62\u6ce2\u6765\uff0c\u4f60\u4f1a\u76f8\u4fe1\u5417\uff1f\u4f60\u4e0d\u4f1a\uff0c\u5c31\u50cf\u5f53\u5e74\u7684\u6211\u4e00\u6837\u3002\u4f46\u662f\u770b\u770b\u4e0b\u56fe\uff1a<br \/>\n<a href=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/055bf33bb84555a952804c5dbeb75dd9_b.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"attachment-medium size-medium\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/055bf33bb84555a952804c5dbeb75dd9_b.jpg\" alt=\"055bf33bb84555a952804c5dbeb75dd9_b\" width=\"600\" height=\"462\" \/><\/a><\/p>\n<p>\u7b2c\u4e00\u5e45\u56fe\u662f\u4e00\u4e2a\u90c1\u95f7\u7684\u6b63\u5f26\u6ce2cos\uff08x\uff09<\/p>\n<p>\u7b2c\u4e8c\u5e45\u56fe\u662f2\u4e2a\u5356\u840c\u7684\u6b63\u5f26\u6ce2\u7684\u53e0\u52a0cos(x)+a.cos(3x)<\/p>\n<p>\u7b2c\u4e09\u5e45\u56fe\u662f4\u4e2a\u53d1\u6625\u7684\u6b63\u5f26\u6ce2\u7684\u53e0\u52a0<\/p>\n<p>\u7b2c\u56db\u5e45\u56fe\u662f10\u4e2a\u4fbf\u79d8\u7684\u6b63\u5f26\u6ce2\u7684\u53e0\u52a0<\/p>\n<p>\u968f\u7740\u6b63\u5f26\u6ce2\u6570\u91cf\u9010\u6e10\u7684\u589e\u957f\uff0c\u4ed6\u4eec\u6700\u7ec8\u4f1a\u53e0\u52a0\u6210\u4e00\u4e2a\u6807\u51c6\u7684\u77e9\u5f62\uff0c\u5927\u5bb6\u4ece\u4e2d\u4f53\u4f1a\u5230\u4e86\u4ec0\u4e48\u9053\u7406\uff1f<\/p>\n<p>\uff08\u53ea\u8981\u52aa\u529b\uff0c\u5f2f\u7684\u90fd\u80fd\u63b0\u76f4\uff01\uff09<\/p>\n<p>\u968f\u7740\u53e0\u52a0\u7684\u9012\u589e\uff0c\u6240\u6709\u6b63\u5f26\u6ce2\u4e2d\u4e0a\u5347\u7684\u90e8\u5206\u9010\u6e10\u8ba9\u539f\u672c\u7f13\u6162\u589e\u52a0\u7684\u66f2\u7ebf\u4e0d\u65ad\u53d8\u9661\uff0c\u800c\u6240\u6709\u6b63\u5f26\u6ce2\u4e2d\u4e0b\u964d\u7684\u90e8\u5206\u53c8\u62b5\u6d88\u4e86\u4e0a\u5347\u5230\u6700\u9ad8\u5904\u65f6\u7ee7\u7eed\u4e0a\u5347\u7684\u90e8\u5206\u4f7f\u5176\u53d8\u4e3a\u6c34\u5e73\u7ebf\u3002\u4e00\u4e2a\u77e9\u5f62\u5c31\u8fd9\u4e48\u53e0\u52a0\u800c\u6210\u4e86\u3002\u4f46\u662f\u8981\u591a\u5c11\u4e2a\u6b63\u5f26\u6ce2\u53e0\u52a0\u8d77\u6765\u624d\u80fd\u5f62\u6210\u4e00\u4e2a\u6807\u51c690\u5ea6\u89d2\u7684\u77e9\u5f62\u6ce2\u5462\uff1f\u4e0d\u5e78\u7684\u544a\u8bc9\u5927\u5bb6\uff0c\u7b54\u6848\u662f\u65e0\u7a77\u591a\u4e2a\u3002\uff08\u4e0a\u5e1d\uff1a\u6211\u80fd\u8ba9\u4f60\u4eec\u731c\u7740\u6211\uff1f\uff09<\/p>\n<p>\u4e0d\u4ec5\u4ec5\u662f\u77e9\u5f62\uff0c\u4f60\u80fd\u60f3\u5230\u7684\u4efb\u4f55\u6ce2\u5f62\u90fd\u662f\u53ef\u4ee5\u5982\u6b64\u65b9\u6cd5\u7528\u6b63\u5f26\u6ce2\u53e0\u52a0\u8d77\u6765\u7684\u3002\u8fd9\u662f\u6ca1<br 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\/>\n\u5728\u8fd9\u51e0\u5e45\u56fe\u4e2d\uff0c\u6700\u524d\u9762\u9ed1\u8272\u7684\u7ebf\u5c31\u662f\u6240\u6709\u6b63\u5f26\u6ce2\u53e0\u52a0\u800c\u6210\u7684\u603b\u548c\uff0c\u4e5f\u5c31\u662f\u8d8a\u6765\u8d8a\u63a5\u8fd1\u77e9\u5f62\u6ce2\u7684\u90a3\u4e2a\u56fe\u5f62\u3002\u800c\u540e\u9762\u4f9d\u4e0d\u540c\u989c\u8272\u6392\u5217\u800c\u6210\u7684\u6b63\u5f26\u6ce2\u5c31\u662f\u7ec4\u5408\u4e3a\u77e9\u5f62\u6ce2\u7684\u5404\u4e2a\u5206\u91cf\u3002\u8fd9\u4e9b\u6b63\u5f26\u6ce2\u6309\u7167\u9891\u7387\u4ece\u4f4e\u5230\u9ad8\u4ece\u524d\u5411\u540e\u6392\u5217\u5f00\u6765\uff0c\u800c\u6bcf\u4e00\u4e2a\u6ce2\u7684\u632f\u5e45\u90fd\u662f\u4e0d\u540c\u7684\u3002\u4e00\u5b9a\u6709\u7ec6\u5fc3\u7684\u8bfb\u8005\u53d1\u73b0\u4e86\uff0c\u6bcf\u4e24\u4e2a\u6b63\u5f26\u6ce2\u4e4b\u95f4\u90fd\u8fd8\u6709\u4e00\u6761\u76f4\u7ebf\uff0c\u90a3\u5e76\u4e0d\u662f\u5206\u5272\u7ebf\uff0c\u800c\u662f\u632f\u5e45\u4e3a0\u7684\u6b63\u5f26\u6ce2\uff01\u4e5f\u5c31\u662f\u8bf4\uff0c\u4e3a\u4e86\u7ec4\u6210\u7279\u6b8a\u7684\u66f2\u7ebf\uff0c\u6709\u4e9b\u6b63\u5f26\u6ce2\u6210\u5206\u662f\u4e0d\u9700\u8981\u7684\u3002<\/p>\n<p>\u8fd9\u91cc\uff0c\u4e0d\u540c\u9891\u7387\u7684\u6b63\u5f26\u6ce2\u6211\u4eec\u6210\u4e3a\u9891\u7387\u5206\u91cf\u3002<\/p>\n<p>\u597d\u4e86\uff0c\u5173\u952e\u7684\u5730\u65b9\u6765\u4e86\uff01\uff01<\/p>\n<p>\u5982\u679c\u6211\u4eec\u628a\u7b2c\u4e00\u4e2a\u9891\u7387\u6700\u4f4e\u7684\u9891\u7387\u5206\u91cf\u770b\u4f5c\u201c1\u201d\uff0c\u6211\u4eec\u5c31\u6709\u4e86\u6784\u5efa\u9891\u57df\u7684\u6700\u57fa\u672c\u5355\u5143\u3002<\/p>\n<p>\u5bf9\u4e8e\u6211\u4eec\u6700\u5e38\u89c1\u7684\u6709\u7406\u6570\u8f74\uff0c\u6570\u5b57\u201c1\u201d\u5c31\u662f\u6709\u7406\u6570\u8f74\u7684\u57fa\u672c\u5355\u5143\u3002<\/p>\n<p>\u65f6\u57df\u7684\u57fa\u672c\u5355\u5143\u5c31\u662f\u201c1\u79d2\u201d\uff0c\u5982\u679c\u6211\u4eec\u5c06\u4e00\u4e2a\u89d2\u9891\u7387\u4e3a<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3189\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/equation.png\" alt=\"equation\" width=\"16\" height=\"10\" \/>\u7684\u6b63\u5f26\u6ce2cos\uff08<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3189\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/equation.png\" alt=\"equation\" width=\"16\" height=\"10\" \/>t\uff09\u770b\u4f5c\u57fa\u7840\uff0c\u90a3\u4e48\u9891\u57df\u7684\u57fa\u672c\u5355\u5143\u5c31\u662f<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3189\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/equation.png\" alt=\"equation\" width=\"16\" height=\"10\" \/>\u3002<\/p>\n<p>\u6709\u4e86\u201c1\u201d\uff0c\u8fd8\u8981\u6709\u201c0\u201d\u624d\u80fd\u6784\u6210\u4e16\u754c\uff0c\u90a3\u4e48\u9891\u57df\u7684\u201c0\u201d\u662f\u4ec0\u4e48\u5462\uff1fcos\uff080t\uff09\u5c31\u662f\u4e00\u4e2a\u5468\u671f\u65e0\u9650\u957f\u7684\u6b63\u5f26\u6ce2\uff0c\u4e5f\u5c31\u662f\u4e00\u6761\u76f4\u7ebf\uff01\u6240\u4ee5\u5728\u9891\u57df\uff0c0\u9891\u7387\u4e5f\u88ab\u79f0\u4e3a\u76f4\u6d41\u5206\u91cf\uff0c\u5728\u5085\u91cc\u53f6\u7ea7\u6570\u7684\u53e0\u52a0\u4e2d\uff0c\u5b83\u4ec5\u4ec5\u5f71\u54cd\u5168\u90e8\u6ce2\u5f62\u76f8\u5bf9\u4e8e\u6570\u8f74\u6574\u4f53\u5411\u4e0a\u6216\u662f\u5411\u4e0b\u800c\u4e0d\u6539\u53d8\u6ce2\u7684\u5f62\u72b6\u3002<\/p>\n<p>\u63a5\u4e0b\u6765\uff0c\u8ba9\u6211\u4eec\u56de\u5230\u521d\u4e2d\uff0c\u56de\u5fc6\u4e00\u4e0b\u5df2\u7ecf\u6b7b\u53bb\u7684\u516b\u6212\uff0c\u554a\u4e0d\uff0c\u5df2\u7ecf\u6b7b\u53bb\u7684\u8001\u5e08\u662f\u600e\u4e48\u5b9a\u4e49\u6b63\u5f26\u6ce2\u7684\u5427\u3002<\/p>\n<p><a href=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/81ca9447d6c45c162c2d76df75a6690a_b.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"attachment-medium size-medium\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/81ca9447d6c45c162c2d76df75a6690a_b.jpg\" alt=\"81ca9447d6c45c162c2d76df75a6690a_b\" width=\"560\" height=\"201\" \/><\/a><br \/>\n\u6b63\u5f26\u6ce2\u5c31\u662f\u4e00\u4e2a\u5706\u5468\u8fd0\u52a8\u5728\u4e00\u6761\u76f4\u7ebf\u4e0a\u7684\u6295\u5f71\u3002\u6240\u4ee5\u9891\u57df\u7684\u57fa\u672c\u5355\u5143\u4e5f\u53ef\u4ee5\u7406\u89e3\u4e3a\u4e00\u4e2a\u59cb\u7ec8\u5728\u65cb\u8f6c\u7684\u5706<a href=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/841476e8e15e1d08114b65c50b741930_b.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"attachment-medium size-medium\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/841476e8e15e1d08114b65c50b741930_b.jpg\" alt=\"841476e8e15e1d08114b65c50b741930_b\" width=\"256\" height=\"256\" \/><\/a><\/p>\n<p>\u77e5\u4e4e\u4e0d\u80fd\u4f20\u52a8\u6001\u56fe\u771f\u662f\u592a\u8ba9\u4eba\u60cb\u60dc\u4e86\u2026\u2026<\/p>\n<p>\u60f3\u770b\u52a8\u56fe\u7684\u540c\u5b66\u8bf7\u6233\u8fd9\u91cc\uff1a<\/p>\n<p><a class=\" wrap external\" href=\"https:\/\/link.zhihu.com\/?target=http%3A\/\/en.wikipedia.org\/wiki\/File%3AFourier_series_square_wave_circles_animation.gif\" target=\"_blank\" rel=\"nofollow noreferrer\">File:Fourier series square wave circles animation.gif<\/a><\/p>\n<p>\u4ee5\u53ca\u8fd9\u91cc\uff1a<\/p>\n<p><a class=\" wrap external\" href=\"https:\/\/link.zhihu.com\/?target=http%3A\/\/en.wikipedia.org\/wiki\/File%3AFourier_series_sawtooth_wave_circles_animation.gif\" target=\"_blank\" rel=\"nofollow noreferrer\">File:Fourier series sawtooth wave circles animation.gif<\/a><\/p>\n<p>\u70b9\u51fa\u53bb\u7684\u670b\u53cb\u4e0d\u8981\u88abwiki\u62d0\u8dd1\u4e86\uff0cwiki\u5199\u7684\u54ea\u6709\u8fd9\u91cc\u7684\u6587\u7ae0\u8fd9\u4e48\u6ca1\u8282\u64cd\u662f\u4e0d\u662f\u3002<\/p>\n<p>\u4ecb\u7ecd\u5b8c\u4e86\u9891\u57df\u7684\u57fa\u672c\u7ec4\u6210\u5355\u5143\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u770b\u4e00\u770b\u4e00\u4e2a\u77e9\u5f62\u6ce2\uff0c\u5728\u9891\u57df\u91cc\u7684\u53e6\u4e00\u4e2a\u6a21\u6837\u4e86\uff1a<\/p>\n<p><a href=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/e2e3c0af3bdbcba721c5415a4c65da9e_b.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"attachment-medium size-medium\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/e2e3c0af3bdbcba721c5415a4c65da9e_b.jpg\" alt=\"e2e3c0af3bdbcba721c5415a4c65da9e_b\" width=\"600\" height=\"425\" \/><\/a><br \/>\n\u8fd9\u662f\u4ec0\u4e48\u5947\u602a\u7684\u4e1c\u897f\uff1f<\/p>\n<p>\u8fd9\u5c31\u662f\u77e9\u5f62\u6ce2\u5728\u9891\u57df\u7684\u6837\u5b50\uff0c\u662f\u4e0d\u662f\u5b8c\u5168\u8ba4\u4e0d\u51fa\u6765\u4e86\uff1f\u6559\u79d1\u4e66\u4e00\u822c\u5c31\u7ed9\u5230\u8fd9\u91cc\u7136\u540e\u7559\u7ed9\u4e86\u8bfb\u8005\u65e0\u7a77\u7684\u9050\u60f3\uff0c\u4ee5\u53ca\u65e0\u7a77\u7684\u5410\u69fd\uff0c\u5176\u5b9e\u6559\u79d1\u4e66\u53ea\u8981\u8865\u4e00\u5f20\u56fe\u5c31\u8db3\u591f\u4e86\uff1a\u9891\u57df\u56fe\u50cf\uff0c\u4e5f\u5c31\u662f\u4fd7\u79f0\u7684\u9891\u8c31\uff0c\u5c31\u662f\u2014\u2014<\/p>\n<p><a href=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/19679c871bd33d94e2fc8b174f0d14ab_b.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"attachment-medium size-medium\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/19679c871bd33d94e2fc8b174f0d14ab_b.jpg\" alt=\"19679c871bd33d94e2fc8b174f0d14ab_b\" width=\"600\" height=\"270\" \/><\/a><\/p>\n<p>\u518d\u6e05\u695a\u4e00\u70b9\uff1a<br \/>\n<a href=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/40cf849e55ed95732a60b52d4019d609_b.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"attachment-medium size-medium\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/40cf849e55ed95732a60b52d4019d609_b.jpg\" alt=\"40cf849e55ed95732a60b52d4019d609_b\" width=\"600\" height=\"360\" \/><\/a>\u53ef\u4ee5\u53d1\u73b0\uff0c\u5728\u9891\u8c31\u4e2d\uff0c\u5076\u6570\u9879\u7684\u632f\u5e45\u90fd\u662f0\uff0c\u4e5f\u5c31\u5bf9\u5e94\u4e86\u56fe\u4e2d\u7684\u5f69\u8272\u76f4\u7ebf\u3002\u632f\u5e45\u4e3a0\u7684\u6b63\u5f26\u6ce2\u3002<\/p>\n<p>\u52a8\u56fe\u8bf7\u6233\uff1a<\/p>\n<p><a class=\" wrap external\" href=\"https:\/\/link.zhihu.com\/?target=http%3A\/\/en.wikipedia.org\/wiki\/File%3AFourier_series_and_transform.gif\" target=\"_blank\" rel=\"nofollow noreferrer\">File:Fourier series and transform.gif<\/a><\/p>\n<p>\u8001\u5b9e\u8bf4\uff0c\u5728\u6211\u5b66\u5085\u91cc\u53f6\u53d8\u6362\u65f6\uff0c\u7ef4\u57fa\u7684\u8fd9\u4e2a\u56fe\u8fd8\u6ca1\u6709\u51fa\u73b0\uff0c\u90a3\u65f6\u6211\u5c31\u60f3\u5230\u4e86\u8fd9\u79cd\u8868\u8fbe\u65b9\u6cd5\uff0c\u800c\u4e14\uff0c\u540e\u9762\u8fd8\u4f1a\u52a0\u5165\u7ef4\u57fa\u6ca1\u6709\u8868\u793a\u51fa\u6765\u7684\u53e6\u4e00\u4e2a\u8c31\u2014\u2014\u76f8\u4f4d\u8c31\u3002<\/p>\n<p>\u4f46\u662f\u5728\u8bb2\u76f8\u4f4d\u8c31\u4e4b\u524d\uff0c\u6211\u4eec\u5148\u56de\u987e\u4e00\u4e0b\u521a\u521a\u7684\u8fd9\u4e2a\u4f8b\u5b50\u7a76\u7adf\u610f\u5473\u7740\u4ec0\u4e48\u3002\u8bb0\u5f97\u524d\u9762\u8bf4\u8fc7\u7684\u90a3\u53e5\u201c\u4e16\u754c\u662f\u9759\u6b62\u7684\u201d\u5417\uff1f\u4f30\u8ba1\u597d\u591a\u4eba\u5bf9\u8fd9\u53e5\u8bdd\u90fd\u5df2\u7ecf\u5410\u69fd\u534a\u5929\u4e86\u3002\u60f3\u8c61\u4e00\u4e0b\uff0c\u4e16\u754c\u4e0a\u6bcf\u4e00\u4e2a\u770b\u4f3c\u6df7\u4e71\u7684\u8868\u8c61\uff0c\u5b9e\u9645\u90fd\u662f\u4e00\u6761\u65f6\u95f4\u8f74\u4e0a\u4e0d\u89c4\u5219\u7684\u66f2\u7ebf\uff0c\u4f46\u5b9e\u9645\u8fd9\u4e9b\u66f2\u7ebf\u90fd\u662f\u7531\u8fd9\u4e9b\u65e0\u7a77\u65e0\u5c3d\u7684\u6b63\u5f26\u6ce2\u7ec4\u6210\u3002\u6211\u4eec\u770b\u4f3c\u4e0d\u89c4\u5f8b\u7684\u4e8b\u60c5\u53cd\u800c\u662f\u89c4\u5f8b\u7684\u6b63\u5f26\u6ce2\u5728\u65f6\u57df\u4e0a\u7684\u6295\u5f71\uff0c\u800c\u6b63\u5f26\u6ce2\u53c8\u662f\u4e00\u4e2a\u65cb\u8f6c\u7684\u5706\u5728\u76f4\u7ebf\u4e0a\u7684\u6295\u5f71\u3002\u90a3\u4e48\u4f60\u7684\u8111\u6d77\u4e2d\u4f1a\u4ea7\u751f\u4e00\u4e2a\u4ec0\u4e48\u753b\u9762\u5462\uff1f<br 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href=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/07199fc0250791d768771b50c098e26a_b.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"attachment-medium size-medium\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/07199fc0250791d768771b50c098e26a_b.jpg\" alt=\"07199fc0250791d768771b50c098e26a_b\" width=\"600\" height=\"642\" \/><\/a><br 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decoding=\"async\" class=\"attachment-medium size-medium\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/e1985fe86283a7b14d1fc7e11d322fcb_b.jpg\" alt=\"e1985fe86283a7b14d1fc7e11d322fcb_b\" width=\"600\" height=\"568\" \/><\/a><br 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href=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/4695ce06197677bab880cd55b6846f12_b.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"attachment-medium size-medium\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/4695ce06197677bab880cd55b6846f12_b.jpg\" alt=\"4695ce06197677bab880cd55b6846f12_b\" width=\"600\" height=\"497\" \/><\/a><\/p>\n<h2><b>\u56db\u3001\u5085\u91cc\u53f6\u53d8\u6362\uff08Fourier 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class=\"attachment-medium size-medium\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/419cd0b2e965aca25d5f8a5a6362d728_b.jpg\" alt=\"419cd0b2e965aca25d5f8a5a6362d728_b\" width=\"600\" height=\"299\" \/><\/a><br 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href=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/a185be412974fd73a7925cf1f1cc5372_b.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"attachment-medium size-medium\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/a185be412974fd73a7925cf1f1cc5372_b.jpg\" alt=\"a185be412974fd73a7925cf1f1cc5372_b\" width=\"600\" height=\"287\" \/><\/a><br \/>\n\u4ee5\u4e0a\u662f\u79bb\u6563\u8c31\uff0c\u90a3\u4e48\u8fde\u7eed\u8c31\u662f\u4ec0\u4e48\u6837\u5b50\u5462\uff1f<\/p>\n<p>\u5c3d\u60c5\u7684\u53d1\u6325\u4f60\u7684\u60f3\u8c61\uff0c\u60f3\u8c61\u8fd9\u4e9b\u79bb\u6563\u7684\u6b63\u5f26\u6ce2\u79bb\u5f97\u8d8a\u6765\u8d8a\u8fd1\uff0c\u9010\u6e10\u53d8\u5f97\u8fde\u7eed\u2026\u2026<\/p>\n<p>\u76f4\u5230\u53d8\u5f97\u50cf\u6ce2\u6d9b\u8d77\u4f0f\u7684\u5927\u6d77\uff1a<br \/>\n<a href=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/ece53f825c6de629befba3de12f929a7_b.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"attachment-medium size-medium\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/ece53f825c6de629befba3de12f929a7_b.jpg\" alt=\"ece53f825c6de629befba3de12f929a7_b\" width=\"600\" height=\"316\" \/><\/a><br 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href=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/42e1f6dc43e8868b4962f5ba389a5df4_b.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"attachment-medium size-medium\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/42e1f6dc43e8868b4962f5ba389a5df4_b.jpg\" alt=\"42e1f6dc43e8868b4962f5ba389a5df4_b\" width=\"600\" height=\"120\" 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class=\"attachment-medium size-medium\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/3e88e9463e4667e50ebdda51dee88358_b.jpg\" alt=\"3e88e9463e4667e50ebdda51dee88358_b\" width=\"600\" height=\"342\" \/><\/a><br \/>\n\u540c\u65f6\uff0c\u6211\u4eec\u83b7\u5f97\u4e86\u4e00\u4e2a\u5782\u76f4\u7684\u865a\u6570\u8f74\u3002\u5b9e\u6570\u8f74\u4e0e\u865a\u6570\u8f74\u5171\u540c\u6784\u6210\u4e86\u4e00\u4e2a\u590d\u6570\u7684\u5e73\u9762\uff0c\u4e5f\u79f0\u590d\u5e73\u9762\u3002\u8fd9\u6837\u6211\u4eec\u5c31\u4e86\u89e3\u5230\uff0c\u4e58\u865a\u6570i\u7684\u4e00\u4e2a\u529f\u80fd\u2014\u2014\u65cb\u8f6c\u3002<\/p>\n<p>\u73b0\u5728\uff0c\u5c31\u6709\u8bf7\u5b87\u5b99\u7b2c\u4e00\u800d\u5e05\u516c\u5f0f\u6b27\u62c9\u516c\u5f0f\u9686\u91cd\u767b\u573a\u2014\u2014<\/p>\n<p><a href=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/a5212ab9fd17c148a3b8762f982a37b2_b.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"attachment-medium size-medium aligncenter\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/a5212ab9fd17c148a3b8762f982a37b2_b.jpg\" alt=\"a5212ab9fd17c148a3b8762f982a37b2_b\" width=\"161\" height=\"20\" \/><\/a><\/p>\n<p>\u8fd9\u4e2a\u516c\u5f0f\u5728\u6570\u5b66\u9886\u57df\u7684\u610f\u4e49\u8981\u8fdc\u5927\u4e8e\u5085\u91cc\u53f6\u5206\u6790\uff0c\u4f46\u662f\u4e58\u5b83\u4e3a\u5b87\u5b99\u7b2c\u4e00\u800d\u5e05\u516c\u5f0f\u662f\u56e0\u4e3a\u5b83\u7684\u7279\u6b8a\u5f62\u5f0f\u2014\u2014\u5f53x\u7b49\u4e8ePi\u7684\u65f6\u5019\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3188\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/57aabba66d545a26070989d3b5a864cd_b.png\" alt=\"57aabba66d545a26070989d3b5a864cd_b\" width=\"93\" height=\"20\" \/><\/p>\n<p>\u7ecf\u5e38\u6709\u7406\u5de5\u79d1\u7684\u5b66\u751f\u4e3a\u4e86\u8ddf\u59b9\u5b50\u8868\u73b0\u81ea\u5df1\u7684\u5b66\u672f\u529f\u5e95\uff0c\u7528\u8fd9\u4e2a\u516c\u5f0f\u6765\u7ed9\u59b9\u5b50\u89e3\u91ca\u6570\u5b66\u4e4b\u7f8e\uff1a\u201d\u77f3\u69b4\u59d0\u4f60\u770b\uff0c\u8fd9\u4e2a\u516c\u5f0f\u91cc\u65e2\u6709\u81ea\u7136\u5e95\u6570e\uff0c\u81ea\u7136\u65701\u548c0\uff0c\u865a\u6570i\u8fd8\u6709\u5706\u5468\u7387pi\uff0c\u5b83\u662f\u8fd9\u4e48\u7b80\u6d01\uff0c\u8fd9\u4e48\u7f8e\u4e3d\u554a\uff01\u201c\u4f46\u662f\u59d1\u5a18\u4eec\u5fc3\u91cc\u5f80\u5f80\u53ea\u6709\u4e00\u53e5\u8bdd\uff1a\u201d\u81ed\u5c4c\u4e1d\u2026\u2026\u201c<\/p>\n<p>\u8fd9\u4e2a\u516c\u5f0f\u5173\u952e\u7684\u4f5c\u7528\uff0c\u662f\u5c06\u6b63\u5f26\u6ce2\u7edf\u4e00\u6210\u4e86\u7b80\u5355\u7684\u6307\u6570\u5f62\u5f0f\u3002\u6211\u4eec\u6765\u770b\u770b\u56fe\u50cf\u4e0a\u7684\u6db5\u4e49\uff1a<\/p>\n<p><a href=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/974efc6a99e06dcd623193e960ccbe93_b.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"attachment-medium size-medium\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/974efc6a99e06dcd623193e960ccbe93_b.jpg\" alt=\"974efc6a99e06dcd623193e960ccbe93_b\" width=\"600\" height=\"299\" \/><\/a><br \/>\n\u6b27\u62c9\u516c\u5f0f\u6240\u63cf\u7ed8\u7684\uff0c\u662f\u4e00\u4e2a\u968f\u7740\u65f6\u95f4\u53d8\u5316\uff0c\u5728\u590d\u5e73\u9762\u4e0a\u505a\u5706\u5468\u8fd0\u52a8\u7684\u70b9\uff0c\u968f\u7740\u65f6\u95f4\u7684\u6539\u53d8\uff0c\u5728\u65f6\u95f4\u8f74\u4e0a\u5c31\u6210\u4e86\u4e00\u6761\u87ba\u65cb\u7ebf\u3002\u5982\u679c\u53ea\u770b\u5b83\u7684\u5b9e\u6570\u90e8\u5206\uff0c\u4e5f\u5c31\u662f\u87ba\u65cb\u7ebf\u5728\u5de6\u4fa7\u7684\u6295\u5f71\uff0c\u5c31\u662f\u4e00\u4e2a\u6700\u57fa\u7840\u7684\u4f59\u5f26\u51fd\u6570\u3002\u800c\u53f3\u4fa7\u7684\u6295\u5f71\u5219\u662f\u4e00\u4e2a\u6b63\u5f26\u51fd\u6570\u3002<\/p>\n<p>\u5173\u4e8e\u590d\u6570\u66f4\u6df1\u7684\u7406\u89e3\uff0c\u5927\u5bb6\u53ef\u4ee5\u53c2\u8003\uff1a<\/p>\n<p><a class=\"internal\" href=\"http:\/\/www.zhihu.com\/question\/23234701\/answer\/26017000\">\u590d\u6570\u7684\u7269\u7406\u610f\u4e49\u662f\u4ec0\u4e48\uff1f<\/a><\/p>\n<p>\u8fd9\u91cc\u4e0d\u9700\u8981\u8bb2\u7684\u592a\u590d\u6742\uff0c\u8db3\u591f\u8ba9\u5927\u5bb6\u7406\u89e3\u540e\u9762\u7684\u5185\u5bb9\u5c31\u53ef\u4ee5\u4e86\u3002<\/p>\n<h2><b>\u516d\u3001\u6307\u6570\u5f62\u5f0f\u7684\u5085\u91cc\u53f6\u53d8\u6362<\/b><\/h2>\n<p>\u6709\u4e86\u6b27\u62c9\u516c\u5f0f\u7684\u5e2e\u52a9\uff0c\u6211\u4eec\u4fbf\u77e5\u9053\uff1a<b>\u6b63\u5f26\u6ce2\u7684\u53e0\u52a0<\/b>\uff0c\u4e5f\u53ef\u4ee5\u7406\u89e3\u4e3a<b>\u87ba\u65cb\u7ebf\u7684\u53e0\u52a0<\/b>\u5728\u5b9e\u6570\u7a7a\u95f4\u7684\u6295\u5f71\u3002\u800c\u87ba\u65cb\u7ebf\u7684\u53e0\u52a0\u5982\u679c\u7528\u4e00\u4e2a\u5f62\u8c61\u7684\u6817\u5b50\u6765\u7406\u89e3\u662f\u4ec0\u4e48\u5462\uff1f<\/p>\n<p><b>\u5149\u6ce2<\/b><\/p>\n<p>\u9ad8\u4e2d\u65f6\u6211\u4eec\u5c31\u5b66\u8fc7\uff0c\u81ea\u7136\u5149\u662f\u7531\u4e0d\u540c\u989c\u8272\u7684\u5149\u53e0\u52a0\u800c\u6210\u7684\uff0c\u800c\u6700\u8457\u540d\u7684\u5b9e\u9a8c\u5c31\u662f\u725b\u987f\u5e08\u5085\u7684\u4e09\u68f1\u955c\u5b9e\u9a8c\uff1a<\/p>\n<p><a href=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/c2d7bfc819ebcbea8d6f2c8271d4791d_b.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"attachment-medium size-medium\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/c2d7bfc819ebcbea8d6f2c8271d4791d_b.jpg\" alt=\"c2d7bfc819ebcbea8d6f2c8271d4791d_b\" width=\"277\" height=\"174\" \/><\/a><br \/>\n\u6240\u4ee5\u5176\u5b9e\u6211\u4eec\u5728\u5f88\u65e9\u5c31\u63a5\u89e6\u5230\u4e86\u5149\u7684\u9891\u8c31\uff0c\u53ea\u662f\u5e76\u6ca1\u6709\u4e86\u89e3\u9891\u8c31\u66f4\u91cd\u8981\u7684\u610f\u4e49\u3002<\/p>\n<p>\u4f46\u4e0d\u540c\u7684\u662f\uff0c\u5085\u91cc\u53f6\u53d8\u6362\u51fa\u6765\u7684\u9891\u8c31\u4e0d\u4ec5\u4ec5\u662f\u53ef\u89c1\u5149\u8fd9\u6837\u9891\u7387\u8303\u56f4\u6709\u9650\u7684\u53e0\u52a0\uff0c\u800c\u662f\u9891\u7387\u4ece0\u5230\u65e0\u7a77\u6240\u6709\u9891\u7387\u7684\u7ec4\u5408\u3002<br \/>\n\u8fd9\u91cc\uff0c\u6211\u4eec\u53ef\u4ee5\u7528\u4e24\u79cd\u65b9\u6cd5\u6765\u7406\u89e3\u6b63\u5f26\u6ce2\uff1a<\/p>\n<p>\u7b2c\u4e00\u79cd\u524d\u9762\u5df2\u7ecf\u8bb2\u8fc7\u4e86\uff0c\u5c31\u662f\u87ba\u65cb\u7ebf\u5728\u5b9e\u8f74\u7684\u6295\u5f71\u3002<\/p>\n<p>\u53e6\u4e00\u79cd\u9700\u8981\u501f\u52a9\u6b27\u62c9\u516c\u5f0f\u7684\u53e6\u4e00\u79cd\u5f62\u5f0f\u53bb\u7406\u89e3\uff1a<\/p>\n<p><a href=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/equationtexe5E7Bit7D3Dcos28t292Bi.sin28t29\"><img loading=\"lazy\" decoding=\"async\" class=\"attachment-medium size-medium\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/equationtexe5E7Bit7D3Dcos28t292Bi.sin28t29\" alt=\"equationtexe5E7Bit7D3Dcos28t292Bi\" width=\"151\" height=\"18\" \/><\/a><br \/>\n<a href=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/equationtexe5E7B-it7D3Dcos28t29-i.sin28t29\"><img loading=\"lazy\" decoding=\"async\" class=\"attachment-medium size-medium\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/equationtexe5E7B-it7D3Dcos28t29-i.sin28t29\" alt=\"equationtexe5E7B-it7D3Dcos28t29-i\" width=\"160\" height=\"18\" \/><\/a><br \/>\n\u5c06\u4ee5\u4e0a\u4e24\u5f0f\u76f8\u52a0\u518d\u96642\uff0c\u5f97\u5230\uff1a<\/p>\n<p><a href=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/equationtexcos28t293D5Cfrac7Be5E7Bit7D2Be5E7B-it7D7D7B27D\"><img loading=\"lazy\" decoding=\"async\" class=\"attachment-medium size-medium\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/equationtexcos28t293D5Cfrac7Be5E7Bit7D2Be5E7B-it7D7D7B27D\" alt=\"equationtexcos28t293D5Cfrac7Be5E7Bit7D2Be5E7B-it7D7D7B27\" width=\"128\" height=\"36\" \/><\/a><br 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\/>\n\u597d\u4e86\uff0c\u521a\u624d\u6211\u4eec\u5df2\u7ecf\u770b\u5230\u4e86\u5927\u6d77\u2014\u2014\u8fde\u7eed\u7684\u5085\u91cc\u53f6\u53d8\u6362\u9891\u8c31\uff0c\u73b0\u5728\u60f3\u4e00\u60f3\uff0c\u8fde\u7eed\u7684\u87ba\u65cb\u7ebf\u4f1a\u662f\u4ec0\u4e48\u6837\u5b50\uff1a<\/p>\n<p>\u60f3\u8c61\u4e00\u4e0b\u518d\u5f80\u4e0b\u7ffb\uff1a<\/p>\n<p>|<\/p>\n<p>|<\/p>\n<p>|<\/p>\n<p>|<\/p>\n<p>|<\/p>\n<p>|<\/p>\n<p>|<\/p>\n<p>|<\/p>\n<p>|<\/p>\n<p><a href=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/f116ae26859bdc80b28ea0f8f894ccc0_b.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"attachment-medium size-medium\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/f116ae26859bdc80b28ea0f8f894ccc0_b.jpg\" alt=\"f116ae26859bdc80b28ea0f8f894ccc0_b\" width=\"600\" height=\"465\" \/><\/a><br \/>\n\u662f\u4e0d\u662f\u5f88\u6f02\u4eae\uff1f<\/p>\n<p>\u4f60\u731c\u731c\uff0c\u8fd9\u4e2a\u56fe\u5f62\u5728\u65f6\u57df\u662f\u4ec0\u4e48\u6837\u5b50\uff1f<\/p>\n<p><a href=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/0fdfa0a9b6eea036703ab2499381080c_b.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"attachment-medium size-medium\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/0fdfa0a9b6eea036703ab2499381080c_b.jpg\" alt=\"0fdfa0a9b6eea036703ab2499381080c_b\" width=\"600\" height=\"471\" \/><\/a><br 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\/>\n\u597d\u4e86\uff0c\u8bb2\u5230\u8fd9\u91cc\uff0c\u76f8\u4fe1\u5927\u5bb6\u5bf9\u5085\u91cc\u53f6\u53d8\u6362\u4ee5\u53ca\u5085\u91cc\u53f6\u7ea7\u6570\u90fd\u6709\u4e86\u4e00\u4e2a\u5f62\u8c61\u7684\u7406\u89e3\u4e86\uff0c\u6211\u4eec\u6700\u540e\u7528\u4e00\u5f20\u56fe\u6765\u603b\u7ed3\u4e00\u4e0b\uff1a<\/p>\n<p><a href=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/097c9051af221c171730d4bc8f436a72_b.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"attachment-medium size-medium\" src=\"https:\/\/www.ecjtu.com\/keith\/wp-content\/uploads\/2016\/02\/097c9051af221c171730d4bc8f436a72_b.jpg\" alt=\"097c9051af221c171730d4bc8f436a72_b\" width=\"600\" height=\"980\" \/><\/a>\u597d\u4e86\uff0c\u5085\u91cc\u53f6\u7684\u6545\u4e8b\u7ec8\u4e8e\u8bb2\u5b8c\u4e86\uff0c\u4e0b\u9762\u6765\u8bb2\u8bb2\u6211\u7684\u6545\u4e8b\uff1a<br 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16c\u5f0f\u3002\u80fd\u5b66\u51fa\u5174\u8da3\u6765\u5c31\u602a\u4e86\uff01<\/p>\n<p>\u597d\u5728\u6211\u5f88\u5e78\u8fd0\uff0c\u9047\u5230\u4e86\u5927\u8fde\u6d77\u4e8b\u5927\u5b66\u7684\u5434\u6960\u8001\u5e08\u3002\u4ed6\u7684\u8bfe\u5168\u7a0b\u6765\u770b\u662f\u4e24\u6761\u7ebf\u7d22\uff0c\u4e00\u6761\u4ece\u4e0a\u800c\u4e0b\uff0c\u4e00\u6761\u4ece\u4e0b\u800c\u4e0a\u3002\u5148\u8bb2\u672c\u95e8\u8bfe\u7a0b\u7684\u610f\u4e49\uff0c\u7136\u540e\u6307\u51fa\u8fd9\u95e8\u8bfe\u7a0b\u4e2d\u4f1a\u9047\u5230\u54ea\u6837\u7684\u95ee\u9898\uff0c\u8ba9\u5b66\u751f\u77e5\u9053\u81ea\u5df1\u5b66\u4e60\u7684\u67d0\u79cd\u77e5\u8bc6\u5728\u73b0\u5b9e\u4e2d\u626e\u6f14\u7684\u89d2\u8272\u3002\u7136\u540e\u518d\u4ece\u57fa\u7840\u8bb2\u8d77\uff0c\u68b3\u7406\u77e5\u8bc6\u6811\uff0c\u76f4\u5230\u5ef6\u4f38\u5230\u53e6\u4e00\u6761\u7ebf\u7d22\u4e2d\u63d0\u51fa\u7684\u95ee\u9898\uff0c\u5b8c\u7f8e\u7684\u8854\u63a5\u5728\u4e00\u8d77\uff01<\/p>\n<p>\u8fd9\u6837\u7684\u6559\u5b66\u6a21\u5f0f\uff0c\u6211\u60f3\u624d\u662f\u5927\u5b66\u91cc\u5e94\u8be5\u51fa\u73b0\u7684\u3002<\/p>\n<p>\u6700\u540e\uff0c\u5199\u7ed9\u6240\u6709\u7ed9\u6211\u70b9\u8d5e\u5e76\u7559\u8a00\u7684\u540c\u5b66\u3002\u771f\u7684\u8c22\u8c22\u5927\u5bb6\u7684\u652f\u6301\uff0c\u4e5f\u5f88\u62b1\u6b49\u4e0d\u80fd\u4e00\u4e00\u56de\u590d\u3002\u56e0\u4e3a\u77e5\u4e4e\u4e13\u680f\u7684\u7559\u8a00\u8981\u9010\u6b21\u52a0\u8f7d\uff0c\u4e3a\u4e86\u770b\u5230\u6700\u540e\u4e00\u6761\u8981\u70b9\u5f88\u591a\u6b21\u52a0\u8f7d\u3002\u5f53\u7136\u6211\u90fd\u575a\u6301\u770b\u5b8c\u4e86\uff0c\u53ea\u662f\u6ca1\u529e\u6cd5\u4e00\u4e00\u56de\u590d\u3002<\/p>\n<p>\u672c\u6587\u53ea\u662f\u4ecb\u7ecd\u4e86\u4e00\u79cd\u5bf9\u5085\u91cc\u53f6\u5206\u6790\u65b0\u9896\u7684\u7406\u89e3\u65b9\u6cd5\uff0c\u5bf9\u4e8e\u6c42\u5b66\uff0c\u8fd8\u662f\u8981\u8e0f\u8e0f\u5b9e\u5b9e\u5f04\u6e05\u695a\u516c\u5f0f\u548c\u6982\u5ff5\uff0c\u5b66\u4e60\uff0c\u771f\u7684\u6ca1\u6709\u6377\u5f84\u3002\u4f46\u81f3\u5c11\u901a\u8fc7\u672c\u6587\uff0c\u6211\u5e0c\u671b\u53ef\u4ee5\u8ba9\u8fd9\u6761\u6f2b\u957f\u7684\u8def\u53d8\u5f97\u6709\u610f\u601d\u4e00\u4e9b\u3002<\/p>\n<p>\u6700\u540e\uff0c\u795d\u5927\u5bb6\u90fd\u80fd\u5728\u5b66\u4e60\u4e2d\u627e\u5230\u4e50\u8da3\u3002\u2026<\/p>\n<\/div>\n<div>\n\u4f5c \u8005\uff1a\u97e9 \u660a<\/p>\n<p>\u77e5 \u4e4e\uff1aHeinrich<\/p>\n<p>\u5fae \u535a\uff1a@\u82b1\u751f\u6cb9\u5de5\u4eba<\/p>\n<p>\u77e5\u4e4e\u4e13\u680f\uff1a\u4e0e\u65f6\u95f4\u65e0\u5173\u7684\u6545\u4e8b<\/p>\n<p>\u8c28\u4ee5\u6b64\u6587\u732e\u7ed9\u5927\u8fde\u6d77\u4e8b\u5927\u5b66\u7684\u5434\u6960\u8001\u5e08\uff0c\u67f3\u6653\u9e23\u8001\u5e08\uff0c\u738b\u65b0\u5e74\u8001\u5e08\u4ee5\u53ca\u5f20\u6676\u6cca\u8001\u5e08\u3002<\/p>\n<p><b>\u8f6c\u8f7d\u7684\u540c\u5b66\u8bf7\u4fdd\u7559\u4e0a\u9762\u8fd9\u53e5\u8bdd\uff0c\u8c22\u8c22\u3002\u5982\u679c\u8fd8\u80fd\u4fdd\u7559\u6587\u7ae0\u6765\u6e90\u5c31\u66f4\u611f\u6fc0\u4e0d\u5c3d\u4e86\u3002<\/b><\/p>\n<\/div>\n<p>\u8457\u4f5c\u6743\u5f52\u4f5c\u8005\u6240\u6709\u3002<br \/>\n\u5546\u4e1a\u8f6c\u8f7d\u8bf7\u8054\u7cfb\u4f5c\u8005\u83b7\u5f97\u6388\u6743\uff0c\u975e\u5546\u4e1a\u8f6c\u8f7d\u8bf7\u6ce8\u660e\u51fa\u5904\u3002<\/p>\n<p>\u94fe\u63a5\uff1a<a href=\"http:\/\/zhuanlan.zhihu.com\/wille\/19763358\" target=\"_blank\">http:\/\/zhuanlan.zhihu.com\/wille\/19763358<\/a><br 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