{"id":1027,"date":"2016-10-16T09:49:40","date_gmt":"2016-10-16T01:49:40","guid":{"rendered":"http:\/\/www.xuehelp.cn\/?p=1027"},"modified":"2016-10-16T09:49:40","modified_gmt":"2016-10-16T01:49:40","slug":"%e7%9c%8b%e5%88%b0%e5%93%aa%e4%b8%aa%e6%95%b0%ef%bc%8c%e4%bd%a0%e4%bc%9a%e8%a7%89%e5%be%97%e6%9c%80%e5%ad%a4%e7%8b%ac%ef%bc%9f","status":"publish","type":"post","link":"http:\/\/www.xuehelp.cn\/index.php\/archives\/1027","title":{"rendered":"\u770b\u5230\u54ea\u4e2a\u6570\uff0c\u4f60\u4f1a\u89c9\u5f97\u6700\u5b64\u72ec\uff1f"},"content":{"rendered":"<p>\u6709\u4eba\u4f1a\u8bf4\u662f1\uff0c\u56e0\u4e3a\u5b83\u5b64\u8eab\u4e00\u4eba\u3002\u6709\u4eba\u4f1a\u8bf4\u662f0\uff0c\u56e0\u4e3a\u5b83\u6ca1\u6709\u4efb\u4f55\u5b58\u5728\u611f\u3002\u6709\u4eba\u4f1a\u8bf4\u662f214\uff0c\u6709\u4eba\u4f1a\u8bf4\u662f419\uff08\u54a6\uff09\u3002\u8fd9\u4e9b\u90fd\u662f\u5b57\u9762\u4e0a\u7684\u76f4\u63a5\u8054\u60f3\uff0c\u56e0\u4eba\u800c\u5f02\uff0c\u5f88\u96be\u8bf4\u54ea\u4e2a\u6bd4\u54ea\u4e2a\u66f4\u52a0\u5b64\u72ec\u3002<br \/>\n\u7136\u800c\u5bf9\u4e00\u4e2a\u5b66\u8fc7\u6570\u5b66\u7684\u4eba\u6765\u8bf4\uff0c\u786e\u5b9e\u5b58\u5728\u4e00\u4e2a\u6700\u201c\u5b64\u72ec\u201d\u7684\u6570\u3002\u8fd9\u4e2a\u6570\u5c31\u662f\u6240\u8c13\u7684\u9ec4\u91d1\u5206\u5272\u7387\u03c6\u3002\u8bb8\u591a\u4eba\u8bf4\u5b83\u662f\u6700\u7f8e\u7684\u6570\uff0c\u7f8e\u4e0d\u7f8e\u8fd9\u79cd\u4e8b\u60c5\u662f\u4e00\u4e2a\u4e3b\u89c2\u6982\u5ff5\u2014\u2014\u4f46\u6211\u4eec\u80fd\u4ece\u6570\u5b66\u4e0a\u8bc1\u660e\uff0c\u5b83\u662f\u6700\u201c\u65e0\u7406\u201d\u7684\u6570\uff0c\u6700\u96be\u4ee5\u63a5\u8fd1\u7684\u6570\uff0c\u56e0\u800c\u5728\u8fd9\u4e2a\u610f\u4e49\u4e0a\uff0c\u662f\u6700\u5b64\u72ec\u7684\u6570\u3002<!--more--><br \/>\n<img decoding=\"async\" src=\"http:\/\/www.52shuxue.com\/uploadfile\/2015\/1028\/20151028044348701.jpg\" alt=\"\" \/><br \/>\n<strong>\u8d8a\u8d70\u8d8a\u8fd1\uff0c\u5374\u6c38\u8fdc\u4e0d\u80fd\u5728\u4e00\u8d77<\/strong><br \/>\n\u4e00\u4e2a\u65e0\u7406\uff08irrational\uff09\u6570\u6709\u5f88\u591a\u79cd\u8868\u73b0\u65b9\u5f0f\u3002\u6211\u4eec\u6700\u719f\u6089\u7684\u662f\u65e0\u9650\u4e0d\u5faa\u73af\u5c0f\u6570\u7684\u5f62\u5f0f\uff0c\u6bcf\u591a\u5199\u4e0b\u4e00\u4f4d\u6570\uff0c\u5c31\u662f\u7528\u4e00\u4e2a\u66f4\u52a0\u7cbe\u786e\u7684\u6709\u7406\uff08rational\uff09\u6570\u53bb\u903c\u8fd1\u5b83\u3002\u5f53\u7136\uff0c\u8fd9\u4e2a\u8fc7\u7a0b\u6c38\u8fdc\u5230\u4e0d\u4e86\u5c3d\u5934\u3002<br \/>\n\u4f46\u662f\u65e0\u7406\u6570\u4e5f\u53ef\u4ee5\u7528\u5206\u6570\u7684\u5f62\u5f0f\u8868\u73b0\uff0c\u53ea\u4e0d\u8fc7\u8fd9\u4e2a\u5206\u6570\u4e5f\u662f\u65e0\u7a77\u65e0\u5c3d\u7684\u2014\u2014\u8fd9\u5c31\u9700\u8981\u201c\u8fde\u5206\u6570\u201d\u3002\u4e0d\u8981\u6015\uff0c\u8fd9\u91cc\u7684\u5168\u90e8\u6570\u5b66\u53ea\u662f\u52a0\u51cf\u4e58\u9664\u548c\u901a\u5206\uff0c\u4e0d\u8d85\u8fc7\u5c0f\u5b66\u4e94\u5e74\u7ea7\u3002<br \/>\n\u5148\u7528\u4e00\u4e2a\u6709\u7406\u6570\u4f5c\u4e3a\u4f8b\u5b50\uff1a1024\/137\uff0c\u7ea6\u7b49\u4e8e7.47445255\u3002<br \/>\n\u7b2c\u4e00\u7ea7\u8fd1\u4f3c\uff1a7\uff0c\u4e8e\u662f\u5b83\u53d8\u6210\u4e86\u00a07 + 65\/137\u3002<br \/>\n\u7b2c\u4e8c\u7ea7\u8fd1\u4f3c\uff1a\u628a\u7b2c\u4e00\u7ea7\u7559\u4e0b\u7684\u5206\u6570\u5012\u8fc7\u6765\uff0c137\/65 \u8fd1\u4f3c\u662f2\uff0c\u4e8e\u662f\u5b83\u53d8\u6210\u4e86 2 + 7\/65\uff0c\u4e8e\u662f\u5f00\u59cb\u7684\u90a3\u4e2a\u6570\u5b57\u5c31\u53d8\u6210\u4e86 7 + 1 \/ ( 2 + 7\/65 )\u3002<br \/>\n\u7b2c\u4e09\u7ea7\u8fd1\u4f3c\uff1a\u5bf97\/65\u8fdb\u884c\u7c7b\u4f3c\u5904\u7406\uff0c\u4ee5\u6b64\u7c7b\u63a8\u3002<br \/>\n\u6700\u540e\u5f97\u5230\u7684\u7ed3\u679c\u662f<br \/>\n<img decoding=\"async\" src=\"http:\/\/www.52shuxue.com\/uploadfile\/2015\/1028\/20151028044617669.png\" alt=\"\" \/><br \/>\n\u6216\u8005\uff0c\u7701\u53bb\u90a3\u4e9b\u591a\u4f59\u76841\uff0c\u53ef\u4ee5\u8868\u8fbe\u4e3a [7; 2, 9, 3, 2]\u3002<br \/>\n\u80fd\u591f\u8bc1\u660e\uff0c\u6bcf\u4e00\u4e2a\u6709\u9650\u7684\u8fde\u5206\u6570\u90fd\u4ee3\u8868\u4e00\u4e2a\u6709\u7406\u6570\uff0c\u800c\u6bcf\u4e00\u4e2a\u6709\u7406\u6570\u80fd\u4e14\u53ea\u80fd\u8868\u793a\u6210\u4e24\u79cd\u5f62\u5f0f\u7684\u8fde\u5206\u6570\uff08\u8981\u6c42\u7b2c\u4e00\u4e2a\u7cfb\u6570\u662f\u6574\u6570\uff0c\u5269\u4e0b\u7684\u5168\u662f\u6b63\u6574\u6570\uff09\u3002\u6bd4\u5982\u4e0a\u9762\u90a3\u4e2a\u6570\u4e5f\u53ef\u4ee5\u8868\u793a\u4e3a\u00a0[7; 2, 9, 3, 1,\u00a01]\u3002\u9664\u8fd9\u4e24\u79cd\u4e4b\u5916\u518d\u6ca1\u6709\u522b\u7684\u5199\u6cd5\u4e86\u3002<br \/>\n\u540c\u6837\u7684\u6b65\u9aa4\u5b8c\u5168\u9002\u7528\u4e8e\u65e0\u7406\u6570\uff0c\u4f46\u8fd9\u65f6\u5f97\u5230\u7684\u8fde\u5206\u5f0f\u5c31\u4f1a\u4e00\u76f4\u5ef6\u7eed\u4e0b\u53bb\u3002\u6bd4\u5982\uff0c\u03c0\u7684\u8fde\u5206\u5f0f\u53ef\u4ee5\u8868\u793a\u4e3a<br \/>\n<img decoding=\"async\" src=\"http:\/\/www.52shuxue.com\/uploadfile\/2015\/1028\/20151028044728903.png\" alt=\"\" \/><br \/>\n\u6216\u8005\u7528\u7b80\u5316\u7684\u8868\u8fbe\u5f0f\uff1a[3; 7, 15, 1, 292, 1, 1, 1, 2, 1, 3, 1, 14, 2, 1, 1, 2, 2, 2, &#8230;]\u3002\u8fd9\u4e2a\u6570\u5217\u5728\u201c\u6574\u6570\u6570\u5217\u7ebf\u4e0a\u5927\u5168\u201d\uff08OEIS\uff09\u4e2d\u7684\u7f16\u53f7\u662fA001203\u3002<\/p>\n<p><strong>\u4e00\u6b65\u4e00\u7c73\uff0c\u6216\u8005\u4e00\u6b65\u5341\u5e74<\/strong><br \/>\n\u4f7f\u7528\u8fde\u5206\u6570\u6765\u903c\u8fd1\uff0c\u5c31\u4f1a\u9047\u5230\u4e00\u4e2a\u201c\u903c\u8fd1\u901f\u5ea6\u201d\u7684\u95ee\u9898\uff1a\u6bcf\u524d\u8fdb\u4e00\u6b65\uff0c\u8fd1\u4f3c\u503c\u5411\u7cbe\u786e\u503c\u9760\u8fd1\u4e86\u591a\u5c11\u5462\uff1f<br \/>\n\u56de\u5230\u03c0\u7684\u4f8b\u5b50\u3002\u6211\u4eec\u5148\u770b\u7b2c\u4e00\u4f4d\u8fd1\u4f3c\u2014\u20147\u3002\u5ffd\u7565\u540e\u9762\u5269\u4e0b\u7684\uff1a<br \/>\n\u03c0 \u2248 3 + 1\/7 =\u00a0<strong>22\/7\u00a0<\/strong>\u2248 3.142&#8230;<br \/>\n\u719f\u6089\u5417\uff1f\u8fd9\u5c31\u662f\u5f53\u5e74\u7956\u51b2\u4e4b\u53d1\u73b0\u7684\u201c\u7ea6\u7387\u201d\u3002<br \/>\n\u5982\u679c\u63a5\u4e0b\u6765\u770b\u5230\u7b2c\u4e09\u4f4d\u8fd1\u4f3c:<br \/>\n\u03c0 \u2248 3 + 1 \/ ( 7 + 1 \/ \uff0815 + 1\uff09 ) = 3 + 1 \/ ( 113\u00a0\/ 16\u00a0) =\u00a0<strong>355\/113\u00a0<\/strong>\u2248 3.1415929&#8230;<br \/>\n\u4e5f\u5373\u7956\u51b2\u4e4b\u7684\u201c\u5bc6\u7387\u201d\u3002\u4e8c\u8005\u90fd\u662f\u5bf9\u03c0\u7684\u6781\u597d\u7684\u8fd1\u4f3c\u3002<br \/>\n\u8fd9\u5c31\u662f\u8fde\u5206\u6570\u7684\u4e00\u4e2a\u795e\u5947\u5c5e\u6027\uff1a<strong>\u5f53\u4f60\u5f97\u5230\u4e00\u4e2a\u8fde\u5206\u6570\u540e\uff0c\u4f60\u5c31\u81ea\u52a8\u83b7\u5f97\u4e86<\/strong><strong>\u201c<\/strong><strong>\u6700\u5feb<\/strong><strong>\u201d<\/strong><strong>\u7684\u903c\u8fd1\u7cbe\u786e\u503c\u7684\u65b9\u5f0f<\/strong>\u3002\u8fd9\u6709\u70b9\u8fdd\u53cd\u76f4\u89c9\u2014\u2014\u5f53\u4f60\u75287\u4f5c\u4e3a\u5206\u6bcd\u7684\u65f6\u5019\uff0c\u6700\u5c0f\u7684\u5355\u4f4d\u5c31\u662f1\/7\uff0c\u90a3\u4e48\u8bef\u5dee\u8303\u56f4\u5e94\u8be5\u662f1\/14\u4ee5\u5185\u5427\uff1f\u5b9e\u9645\u4e0a\uff0c\u4f7f\u7528\u8fde\u5206\u6570\u83b7\u5f97\u7684\u8bef\u5dee\u8303\u56f4\u4e0d\u662f1\/14\u4ee5\u5185\uff0c\u800c\u662f1\/49\u4ee5\u5185\uff01\u00a022\/7 &#8211; \u03c0 \u2248 0.0126 &lt;\u00a0(1\/7)^2\u3002<br \/>\n\u66f4\u4e00\u822c\u5730\uff0c\u5047\u5982\u4e00\u4e2a\u65e0\u7406\u6570\u03b1\uff0c\u5b83\u7684\u67d0\u4e00\u6b65\u8fde\u5206\u5f0f\u5c55\u5f00\u540e\u53d8\u6210\u4e86 p \/ q \u7684\u5f62\u5f0f\uff0c\u90a3\u4e48\u4e00\u5b9a\u6709<br \/>\n| \u03b1 &#8211; p\/q | &lt; 1 \/\u00a0q^2<br \/>\n\u800c\u4e14\uff0c \u8fd9\u4e00\u5b9a\u662f\u5f53\u524d\u6700\u597d\u7684\u7cbe\u786e\u503c\uff0c\u4efb\u4f55\u6bd4\u5b83\u66f4\u7cbe\u786e\u7684\u5206\u5f0f\u90fd\u4e00\u5b9a\u9700\u8981\u66f4\u5927\u7684\u5206\u6bcd\u3002\u03c0\u7684\u524d\u4e09\u7ea7\u5c55\u5f00\uff0c\u5206\u522b\u662f 22\/7\u3001333\/106\u3001355\/113\uff1b\u4f60\u57281-6\u7684\u8303\u56f4\u5185\u4e00\u5b9a\u627e\u4e0d\u5230\u6bd47\u66f4\u597d\u7684\uff0c1-112\u7684\u8303\u56f4\u5185\u4e00\u5b9a\u627e\u4e0d\u5230\u6bd4113\u66f4\u597d\u7684\u3002\u4f46\u662f\uff0c7\u5374\u6bd48\u30019\u300110\u2026\u2026\u90fd\u8981\u597d\u3002\u56e0\u6b64\u53ef\u4ee5\u8bf4\uff0c<strong>\u8fde\u5206\u6570\u5728\u67d0\u79cd\u610f\u4e49\u4e0a\u63ed\u793a\u4e86\u4e00\u4e2a\u65e0\u7406\u6570\u7684\u6df1\u5c42\u7ed3\u6784\u3002<\/strong><br \/>\n\u90a3\u4e48\u56de\u5230\u6211\u4eec\u5f00\u59cb\u7684\u95ee\u9898\u3002\u6700\u5feb\u7684\u903c\u8fd1\u901f\u5ea6\u6709\u591a\u5feb\uff1f\u4ece\u4e0a\u9762\u7684\u516c\u5f0f\u53ef\u4ee5\u770b\u51fa\u6765\uff0c\u8fd9\u5b8c\u5168\u53d6\u51b3\u4e8e\u8fde\u5206\u5f0f\u91cc\u5177\u4f53\u7684\u6bcf\u4e2a\u6570\u2014\u2014<strong>\u6570\u5b57\u8d8a\u5927\u903c\u8fd1\u8d8a\u5feb\uff0c\u6570\u5b57\u8d8a\u5c0f\u903c\u8fd1\u8d8a\u6162\u3002<\/strong>\u7956\u51b2\u4e4b\u80fd\u53d1\u73b0\u7ea6\u7387\u548c\u5bc6\u7387\uff0c\u90e8\u5206\u539f\u56e0\u662f\u56e0\u4e3a\u4ed6\u8fd0\u6c14\u597d\uff0c\u03c0\u5f00\u5934\u7684\u8fd9\u4fe9\u6570\u6b63\u597d\u90fd\u4e0d\u5c0f\uff0c\u6240\u4ee5\u80fd\u7ed9\u51fa\u5f88\u6f02\u4eae\u7684\u903c\u8fd1\u3002<br \/>\n\u800c\u6700\u5c0f\u7684\u6b63\u6574\u6570\uff0c\u5f53\u7136\u5c31\u662f1\u4e86\u3002<\/p>\n<p><strong>\u9ec4\u91d1\u5206\u5272\u7387\uff0c\u6700\u6f2b\u957f\u7684\u65c5\u7a0b<\/strong><br \/>\n\u5982\u679c\u6709\u8fd9\u6837\u4e00\u4e2a\u6570\uff1a[1; 1, 1, 1, 1, 1, 1, 1, &#8230;]<br \/>\n\u6216\u8005\uff0c<br \/>\n<img decoding=\"async\" src=\"http:\/\/www.52shuxue.com\/uploadfile\/2015\/1028\/20151028044909506.png\" alt=\"\" \/><br \/>\n\u4f60\u80af\u5b9a\u731c\u5230\u4e86\uff0c\u8fd9\u5c31\u662f\u4f20\u8bf4\u4e2d\u7684\u9ec4\u91d1\u5206\u5272\u6570\u03c6\uff0c1.61803398&#8230; \u5982\u679c\u53bb\u6389\u524d\u9762\u76841\u5c31\u4f1a\u5f97\u5230\u53e6\u4e00\u4e2a\u5e38\u89c1\u5f62\u5f0f\uff1a0.618&#8230; \u00a0\u800c\u8fd9\u4e24\u4e2a\u6570\u6b63\u597d\u4e92\u4e3a\u5012\u6570\u3002\u4ece\u8fde\u5206\u5f0f\u8fd9\u4e2a\u5f62\u5f0f\u5c31\u80fd\u770b\u51fa\u6765\u4e3a\u4ec0\u4e48\u3002<br \/>\n<img decoding=\"async\" src=\"http:\/\/www.52shuxue.com\/uploadfile\/2015\/1028\/20151028045548802.jpg\" alt=\"\" \/><br \/>\n\u6211\u4eec\u8bd5\u7740\u903c\u8fd1\u4e00\u4e0b\uff0c\u5f97\u5230\u7684\u662f<br \/>\n2\/1 = 2<br \/>\n3\/2 = 1.5<br \/>\n5\/3\u00a0= 1.66666&#8230;<br \/>\n8\/5\u00a0= 1.6<br \/>\n13\/8\u00a0= 1.625<br \/>\n21\/13\u00a0= 1.61538&#8230;<br \/>\n\u8fdb\u884c\u4e866\u6b21\u8fd1\u4f3c\uff0c\u7ed3\u679c\u624d\u5230\u5c0f\u6570\u70b9\u540e2\u4f4d\uff01\u521a\u624d\u6211\u4eec\u7528\u03c0\u4ec5\u4ec5\u8fdb\u884c\u4e862\u6b21\u8fd1\u4f3c\uff0c\u5c31\u7cbe\u786e\u5230\u4e86\u5c0f\u6570\u70b9\u540e6\u4f4d\u3002<br \/>\n\uff08\u4f60\u53ef\u80fd\u6ce8\u610f\u5230\u4e86\uff0c\u8fd9\u4e2a\u8fde\u5206\u6570\u7684\u6bcf\u4e00\u7ea7\u903c\u8fd1\uff0c\u5c31\u662f\u4f20\u8bf4\u4e2d\u7684\u6590\u6ce2\u90a3\u5951\u6570\u5217\u3002\u4e3a\u4ec0\u4e48\uff1f\u4f60\u731c\u3002\uff09<br 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\/>\n\u5927\u6709\u6539\u5584\uff0c\u4f46\u662f\u8fd8\u6709\u5f88\u591a\u7f1d\u9699\u6ca1\u7528\u4e0a\u3002\u6bd5\u7adf\uff0c\u65e0\u7406\u6570\u662f\u53ef\u4ee5\u7528\u8fde\u5206\u6570\u8fd1\u4f3c\u7684\u3002\u8fd1\u4f3c\u5f97\u592a\u597d\u7684\u8bdd\uff0c\u5c31\u548c\u5206\u6570\u6ca1\u6709\u592a\u591a\u5dee\u522b\u3002<br \/>\n\u56e0\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u627e\u4e00\u4e2a<strong>\u8ddd\u79bb\u5206\u6570\u6700\u8fdc\u7684\u3001\u6700\u96be\u8fd1\u4f3c\u7684\u3001\u6700\u65e0\u7406\u7684\u6570<\/strong>\uff0c\u8fd9\u6837\u624d\u4e0d\u4f1a\u4ea7\u751f\u5468\u671f\u6027\uff0c\u624d\u80fd\u8865\u4e0a\u4e2d\u95f4\u7684\u90a3\u4e9b\u7a7a\u9699\u3002<br \/>\n\u8fd9\u5c31\u662f\u03c6\u3002\u5b83\u6240\u5bf9\u5e94\u7684\u89d2\u5ea6\uff0c\u5927\u7ea6\u662f137.5\u5ea6\u3002<br \/>\n<img decoding=\"async\" src=\"http:\/\/www.52shuxue.com\/uploadfile\/2015\/1028\/20151028051327492.png\" alt=\"\" \/><br 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[&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[393],"_links":{"self":[{"href":"http:\/\/www.xuehelp.cn\/index.php\/wp-json\/wp\/v2\/posts\/1027"}],"collection":[{"href":"http:\/\/www.xuehelp.cn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.xuehelp.cn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.xuehelp.cn\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.xuehelp.cn\/index.php\/wp-json\/wp\/v2\/comments?post=1027"}],"version-history":[{"count":1,"href":"http:\/\/www.xuehelp.cn\/index.php\/wp-json\/wp\/v2\/posts\/1027\/revisions"}],"predecessor-version":[{"id":1028,"href":"http:\/\/www.xuehelp.cn\/index.php\/wp-json\/wp\/v2\/posts\/1027\/revisions\/1028"}],"wp:attachment":[{"href":"http:\/\/www.xuehelp.cn\/index.php\/wp-json\/wp\/v2\/media?parent=1027"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.xuehelp.cn\/index.php\/wp-json\/wp\/v2\/categories?post=1027"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.xuehelp.cn\/index.php\/wp-json\/wp\/v2\/tags?post=1027"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}