{"id":6548,"date":"2018-04-01T19:22:11","date_gmt":"2018-04-01T11:22:11","guid":{"rendered":"https:\/\/kyle.ai\/blog\/?p=6548"},"modified":"2018-04-01T19:33:31","modified_gmt":"2018-04-01T11:33:31","slug":"%e5%85%b3%e4%ba%8e%e6%95%b0%e5%ad%97-7-%e5%92%8c-4","status":"publish","type":"post","link":"https:\/\/kyle.ai\/blog\/6548.html","title":{"rendered":"\u5173\u4e8e\u6570\u5b57 7 \u548c 4"},"content":{"rendered":"<p>1<\/p>\n<p>\u60f3\u5fc5\u5927\u5bb6\u4e0a\u5c0f\u5b66\u7684\u65f6\u5019\uff0c\u5c31\u5df2\u7ecf\u88ab\u8001\u5e08\u8003\u8fc7\u9e21\u5154\u540c\u7b3c\u7684\u6570\u5b66\u95ee\u9898\uff0c\u95ee\u9898\u5f88\u7b80\u5355\uff1a<\/p>\n<p>\u9e21\u5154\u540c\u7b3c\uff0c\u5171\u6709\u5934 35 \u4e2a\uff0c\u811a 94 \u53ea\uff0c\u6c42\u9e21\u548c\u5154\u5404\u6709\u591a\u5c11\u53ea?<\/p>\n<p>\u5982\u679c\u7528\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\u7684\u8bdd\uff0c\u8fd9\u4e2a\u95ee\u9898\u89e3\u8d77\u6765\u76f8\u5f53\u5bb9\u6613\u3002\u6211\u4eec\u5047\u8bbe\u6709 x \u53ea\u9e21\uff0cy \u53ea\u5154\u5b50\uff0c\u90a3\u4e48\u53ef\u4ee5\u5f97\u51fa\u4ee5\u4e0b\u4e24\u4e2a\u7b49\u5f0f\uff1a<\/p>\n<ul>\n<li>x + y = 35<\/li>\n<li>2x + 4y = 94<\/li>\n<\/ul>\n<p>\u5c06 x = 35 &#8211; y \u4ee3\u5165\u5230\u7b2c\u4e8c\u4e2a\u7b49\u5f0f\u4e2d\uff0c\u5c31\u53ef\u4ee5\u5f97\u51fa\uff1a<\/p>\n<ul>\n<li>y = (94 &#8211; 2*35) \/ 2<\/li>\n<\/ul>\n<p>\u73b0\u5728\u6211\u4eec\u5fd8\u6389\u4e0a\u9762\u89e3\u65b9\u7a0b\u7684\u8fc7\u7a0b\uff0c\u53ea\u5173\u6ce8\u6700\u540e\u8fd9\u4e2a\u6c42 y \u7684\u7b49\u5f0f\uff0c\u8fd9\u4e2a\u7b49\u5f0f\u5728\u73b0\u5b9e\u751f\u6d3b\u4e2d\u662f\u5426\u6709\u7740\u5177\u4f53\u7684\u542b\u4e49\uff1f\u6216\u8005\u8bf4\uff0c\u5047\u5982\u4f60\u8fd8\u5728\u8bfb\u5c0f\u5b66\u6839\u672c\u6ca1\u6709\u5b66\u8fc7\u89e3\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\u7684\u65b9\u6cd5\uff0c\u53ea\u4f1a\u52a0\u51cf\u4e58\u9664\uff0c\u90a3\u4f60\u53c8\u8be5\u5982\u4f55\u63a8\u5bfc\u51fa y = \u8fd9\u4e2a\u5f0f\u5b50\u51fa\u6765\u5462\uff1f<\/p>\n<p>\u4e8e\u662f\u6709\u4e0b\u9762\u8fd9\u79cd\u4e0d\u4e00\u6837\u7684\u89e3\u6cd5\u3002<\/p>\n<p>\u5047\u8bbe\u73b0\u5728\u6211\u4eec\u8ba9\u6240\u6709\u7684\u9e21\u548c\u5154\u90fd\u62ac\u8d77 2 \u53ea\u811a\uff0c\u8fd8\u4e48\u603b\u5171\u5c31\u8fd8\u5269\u4e0b 94 &#8211; 2*35 \u53ea\u811a\uff0c\u9e21\u53ea\u6709\u4e24\u53ea\u811a\u8fd9\u6211\u4eec\u90fd\u662f\u77e5\u9053\u7684\uff0c\u6240\u4ee5\u62ac\u8d77\u4e24\u53ea\u811a\u540e\u9e21\u5c31\u6ca1\u6cd5\u7ad9\u7acb\uff0c\u53ea\u80fd\u4e00\u5c41\u80a1\u5750\u5730\u4e0a\u4e86\uff0c\u8fd9\u65f6\u5019\u8fd8\u7ad9\u7740\u7684\u5c31\u5168\u662f\u5154\u5b50\uff0c\u6bcf\u53ea\u5154\u5b50\u90fd\u8fd8\u5404\u81ea\u5269 2 \u53ea\u811a\uff0c\u6240\u4ee5\u5154\u5b50\u603b\u5171\u5c31\u6709 (94 &#8211; 2*35) \/ 2 \u53ea \uff0c\u8fd9\u5c31\u662f\u4e0a\u9762\u7684 y \u503c\u3002<\/p>\n<p>\u8fd9\u4e2a\u7b80\u5355\u7684\u4f8b\u5b50\u544a\u8bc9\u6211\u4eec\uff0c\u901a\u8fc7\u4e25\u8c28\u7684\u6570\u5b66\u65b9\u6cd5\uff0c\u548c\u6709\u8da3\u7684\u751f\u6d3b\u65b9\u6cd5\uff0c\u90fd\u80fd\u5f97\u51fa\u540c\u6837\u7684\u4e00\u4e2a\u7ed3\u8bba\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u4efb\u4f55\u4e00\u4e2a\u770b\u8d77\u6765\u5f88\u9ad8\u6df1\u7684\u6570\u5b66\u65b9\u7a0b\uff0c\u80cc\u540e\u5f88\u6709\u53ef\u80fd\u90fd\u6709\u4e00\u4e2a\u975e\u5e38\u7b80\u6734\u7684\u751f\u6d3b\u73b0\u8c61\u4e0e\u4e4b\u76f8\u5bf9\u5e94\uff0c\u8fd9\u5c31\u662f\u79d1\u5b66\u4e4b\u201c\u7f8e\u201d\u3002<\/p>\n<p>2<\/p>\n<p>\u518d\u6765\u770b\u4e2a\u7531\u751f\u6d3b\u5e38\u8bc6\u53cd\u63a8\u79d1\u5b66\u7684\u6545\u4e8b\u3002<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u90fd\u77e5\u9053\u4e00\u5468\u6709\u4e03\u5929\uff0c\u5176\u4e2d\u5468\u4e00\u5230\u5468\u4e94\u4e3a\u5de5\u4f5c\u65e5\uff0c\u5468\u516d\u5468\u65e5\u4e3a\u4f11\u606f\u65e5\uff0c\u90a3\u4e48\u8fd9\u79cd\u5236\u5ea6\u6700\u5f00\u59cb\u5230\u5e95\u662f\u7531\u8c01\u5236\u5b9a\u7684\u5462\uff1f\u4e3a\u4ec0\u4e48\u4e00\u5468\u662f\u4e03\u5929\uff0c\u800c\u4e0d\u662f\u516b\u5929\u3001\u516d\u5929\uff1f\u4e3a\u4ec0\u4e48\u6211\u4eec\u5de5\u4f5c\u4e94\u5929\uff0c\u800c\u4e0d\u662f\u56db\u5929\uff1f\u53ef\u80fd\u8fd9\u8981\u4ece\u4e00\u4e2a\u795e\u5947\u7684\u6570\u5b57\u5f00\u59cb\u8bf4\u8d77\uff1a142857\u3002<\/p>\n<p>\u8fd9\u4e2a\u6570\u5b57\u53d1\u73b0\u4e8e\u57c3\u53ca\u91d1\u5b57\u5854\u5185\uff0c\u975e\u5e38\u795e\u5947\uff0c\u6765\u770b\u4e0b\u5b83\u7684\u5947\u5f02\u6027\u8d28\u3002<\/p>\n<p>\u6211\u4eec\u628a\u5b83\u4ece 1 \u4e58\u5230 6 \u770b\u770b<\/p>\n<ul>\n<li>142857 X 1 = 142857<\/li>\n<li>142857 X 2 = 285714<\/li>\n<li>142857 X 3 = 428571<\/li>\n<li>142857 X 4 = 571428<\/li>\n<li>142857 X 5 = 714285<\/li>\n<li>142857 X 6 = 857142<\/li>\n<\/ul>\n<p>\u540c\u6837\u7684\u6570\u5b57\uff0c\u53ea\u662f\u8c03\u6362\u4e86\u4f4d\u7f6e\uff0c\u53cd\u590d\u7684\u51fa\u73b0\u3002<\/p>\n<p>\u90a3\u4e48\u628a\u5b83\u4e58\u4e0e 7 \u662f\u591a\u5c11\u5462\uff1f\u6211\u4eec\u4f1a\u60ca\u4eba\u7684\u53d1\u73b0\u662f 999999\u3002<\/p>\n<p>\u800c<\/p>\n<ul>\n<li>142 + 857 = 999<\/li>\n<li>14 + 28 + 57 = 99<\/li>\n<\/ul>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u7528 142857 \u4e58\u4ee5 142857\uff0c\u7b54\u6848\u662f\uff1a20408122449\uff0c\u524d\u4e94\u4f4d\u52a0\u4e0a\u540e\u4e94\u4f4d\u7684\u5f97\u6570\u662f\u591a\u5c11\u5462\uff1f<\/p>\n<ul>\n<li>20408 + 122449 = 142857<\/li>\n<\/ul>\n<p>\u80fd\u88ab 7 \u6574\u9664\u7684\u81ea\u7136\u6570\u7684\u4e2a\u6570<\/p>\n<ul>\n<li>10\u4ee5\u5185 1\u4e2a<\/li>\n<li>100\u4ee5\u5185 14\u4e2a<\/li>\n<li>1000\u4ee5\u5185 142\u4e2a<\/li>\n<li>10000\u4ee5\u5185 1428\u4e2a<\/li>\n<li>100000\u4ee5\u5185 14285\u4e2a<\/li>\n<li>1000000\u4ee5\u5185 142857\u4e2a<\/li>\n<li>10000000\u4ee5\u5185 1428571\u4e2a<\/li>\n<\/ul>\n<p>&#8230;&#8230;<\/p>\n<p>\u7528 1 \u81f3 9 \u9664\u4ee5 7 \u4e4b\u540e\u83b7\u5f97\u7684\u5faa\u73af\u5c0f\u6570\uff0c\u5faa\u73af\u7684\u6570\u5b57\u4e5f\u662f 142857\uff1a<\/p>\n<ul>\n<li>1 \u00f7 7 = 0.142857<\/li>\n<li>2 \u00f7 7 = 0.285714<\/li>\n<li>3 \u00f7 7 = 0.428571<\/li>\n<li>4 \u00f7 7 = 0.571428<\/li>\n<li>5 \u00f7 7 = 0.714285<\/li>\n<li>6 \u00f7 7 = 0.857142<\/li>\n<li>7 \u00f7 7 = 1.000000<\/li>\n<li>8 \u00f7 7 = 1.142857<\/li>\n<li>9 \u00f7 7 = 1.285714<\/li>\n<\/ul>\n<p>\u7531\u4e8e\u8fd9\u4e2a\u6570\u5b57\u6700\u65e9\u53d1\u73b0\u4e8e\u91d1\u5b57\u5854\u91cc\u9762\uff0c\u6211\u731c\u53d1\u73b0 142857 \u8fd9\u4e9b\u795e\u5947\u6027\u8d28\u7684\u57c3\u53ca\u4eba\uff0c\u6700\u7ec8\u8054\u7cfb\u5230\u4e86\u4e00\u5468\u8be5\u6709\u51e0\u5929\u8fd9\u4e9b\u751f\u6d3b\u95ee\u9898\uff0c\u4e8e\u662f\u4e00\u62cd\u8111\u888b\u548c\u5927\u817f\uff0c\u5c31\u89c4\u5b9a\u4e86\u4e00\u5468\u5e94\u8be5\u662f\u4e03\u5929\u8fd9\u4e2a\u89c4\u77e9\uff1a<\/p>\n<ul>\n<li>142857\u00d71=142857\uff08\u539f\u6570\u5b57\uff09<\/li>\n<li>142857\u00d72=285714\uff08\u8f6e\u503c\uff09<\/li>\n<li>142857\u00d73=428571\uff08\u8f6e\u503c\uff09<\/li>\n<li>142857\u00d74=571428\uff08\u8f6e\u503c\uff09<\/li>\n<li>142857\u00d75=714285\uff08\u8f6e\u503c\uff09<\/li>\n<li>142857\u00d76=857142\uff08\u8f6e\u503c\uff09<\/li>\n<li>142857\u00d77=999999\uff08\u653e\u5047\u75319\u4ee3\u73ed\uff09<\/li>\n<\/ul>\n<p>\u4e00\u5468\u5230\u5e95\u51e0\u5929\u5176\u5b9e\u65e0\u6240\u8c13\uff0c\u4f46\u662f\u4e0d\u77e5\u9053\u662f\u54ea\u4e2a\u9f9f\u513f\u5b50\u540e\u9762\u53c8\u89c4\u5b9a\u4e86\u4e03\u5929\u4e2d\u8981\u4e0a\u4e94\u5929\u73ed\uff0c\u54ce\u3002<\/p>\n<p>3<\/p>\n<p>\u9664\u4e86 142857\uff0c\u4e16\u754c\u4e0a\u975e\u5e38\u8457\u540d\u7684\u51e0\u4e2a\u6570\u8fd8\u6709 \u03c0\u3001e \u7b49\uff0c\u8fd9\u91cc\u6211\u60f3\u804a\u4e00\u4e0b \u03c0 \u3002<\/p>\n<p>\u03c0 \u5373\u5706\u5468\u7387\uff0c\u8bfb\u4f5c Pi\uff08\u6d3e\uff09\uff0c\u662f\u4e00\u4e2a\u5706\u7684\u5468\u957f\u548c\u5176\u76f4\u5f84\u7684\u6bd4\u7387\uff0c\u7ea6\u7b49\u4e8e3.1415926535897932384626\u2026\u2026\u3002<\/p>\n<p>\u56e0\u4e3a \u03c0 \u662f\u4e00\u4e2a\u65e0\u7406\u6570\uff0c\u6240\u4ee5\u5b83\u4e0d\u80fd\u7528\u5206\u6570\u5b8c\u5168\u8868\u793a\u51fa\u6765\uff0c\u5373\u5b83\u7684\u5c0f\u6570\u90e8\u5206\u662f\u4e00\u4e2a\u65e0\u9650\u4e0d\u5faa\u73af\u5c0f\u6570\uff0c\u65e0\u7a77\u65e0\u5c3d\uff0c\u6c38\u4e0d\u91cd\u590d\u3002<\/p>\n<p>\u9ad8\u5206\u7f8e\u5267 POI\u300a\u7591\u72af\u8ffd\u8e2a\u300b\u4e2d\u6709\u5173\u4e8e \u03c0 \u7684\u7cbe\u5f69\u53f0\u8bcd\uff1a<\/p>\n<p>\u201c\u5c31\u662f\u8bf4\u5728\u8fd9\u4e32\u6570\u5b57\u4e2d\uff0c\u5305\u542b\u6bcf\u79cd\u53ef\u80fd\u7684\u7ec4\u5408\u3002\u4f60\u7684\u751f\u65e5\uff0c\u50a8\u7269\u67dc\u5bc6\u7801\uff0c\u4f60\u7684\u793e\u4fdd\u53f7\u7801\uff0c\u90fd\u5728\u5176\u4e2d\u67d0\u5904\u3002<\/p>\n<p>\u201c\u5982\u679c\u628a\u8fd9\u4e9b\u6570\u5b57\u8f6c\u6362\u4e3a\u5b57\u6bcd\uff0c\u5c31\u80fd\u5f97\u5230\u6240\u6709\u7684\u5355\u8bcd\uff0c\u65e0\u6570\u79cd\u7ec4\u5408\u3002\u4f60\u5a74\u513f\u65f6\u53d1\u51fa\u7684\u7b2c\u4e00\u4e2a\u97f3\u8282\uff0c\u4f60\u5fc3\u4e0a\u4eba\u7684\u540d\u5b57\uff0c\u4f60\u4e00\u8f88\u5b50\u4ece\u59cb\u81f3\u7ec8\u7684\u6545\u4e8b\uff0c\u6211\u4eec\u505a\u8fc7\u6216\u8bf4\u8fc7\u7684\u6bcf\u4ef6\u4e8b\uff0c\u5b87\u5b99\u4e2d\u6240\u6709\u65e0\u9650\u7684\u53ef\u80fd\uff0c\u90fd\u5728\u8fd9\u4e2a\u7b80\u5355\u7684\u5706\u4e2d\u3002<\/p>\n<p>\u201c\u7528\u8fd9\u4e9b\u4fe1\u606f\u505a\u4ec0\u4e48\uff0c\u5b83\u6709\u4ec0\u4e48\u7528\uff0c\u53d6\u51b3\u4e8e\u4f60\u4eec\u3002\u201d<\/p>\n<p>\u524d\u6bb5\u65f6\u95f4\uff0c\u4f1f\u5927\u7684\u7269\u7406\u5b66\u5bb6\u970d\u91d1\u4e8e 3 \u6708 14 \u53f7\u90a3\u5929\u53bb\u4e16\u4e86\uff0c\u78b0\u5de7\u7684\u662f\uff0c\u4e0a\u4e2a\u4e16\u7eaa\u4f1f\u5927\u7269\u7406\u5b66\u5bb6\u7231\u56e0\u65af\u5766\u662f\u5728\u540c\u4e00\u5929 3 \u6708 14 \u53f7\u51fa\u751f\u7684\u3002\u53ef\u80fd\u6709\u4eba\u5c31\u4f1a\u79f0\u8d5e\u8d77\u6765\u4e86\uff1a\u4f1f\u4eba\u5c31\u662f\u4f1f\u4eba\u554a\uff0c\u9009\u7684\u91cd\u5927\u65e5\u5b50\u90fd\u662f\u5706\u5468\u7387\u8fd9\u4e00\u6697\u542b\u5b87\u5b99\u5965\u79d8\u7684\u6570\u5b57\u3002\u4e0d\u8fc7\u8fd9\u80af\u5b9a\u662f\u5de7\u5408\u5566\uff0c\u6bd5\u7adf 3 \u6708 14 \u53f7\u8fd9\u4e00\u5929\u6709\u65e0\u6570\u4e2a\u4eba\u51fa\u751f\u548c\u6b7b\u53bb\uff0c\u6bd4\u5982\u9a6c\u514b\u601d\u540c\u5b66\u4e5f\u662f\u5728\u8fd9\u4e00\u5929\u8d70\u7684\u3002<\/p>\n<p>\u4e0a\u9762\u6211\u4eec\u5df2\u7ecf\u8bf4\u8fc7\u4e86\uff0c\u6570\u5b66\u7ec8\u7a76\u662f\u7f8e\u7684\u3001\u6709\u5173\u751f\u6d3b\u7684\uff0c\u970d\u91d1\u8bf4\u8fc7\uff1a\u201c\u4e00\u4e2a\u7b80\u5355\u3001\u4f18\u96c5\u7684\u65b9\u7a0b\u5f0f\uff0c\u53ef\u4ee5\u89e3\u91ca\u4e00\u5207\u201d\uff0c\u5c31\u7b97\u662f\u50cf \u03c0 \u8fd9\u6837\u7ec8\u6781\u6742\u4e71\u65e0\u7ae0\u7684\u968f\u673a\u6a21\u5f0f\uff0c\u91cc\u9762\u4e5f\u9690\u85cf\u7740\u6781\u5176\u7f8e\u5999\u7684\u65b9\u7a0b\u5f0f\uff1a<\/p>\n<p><a href=\"https:\/\/kyle.ai\/blog\/wp-content\/uploads\/2018\/04\/pi.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-6552\" src=\"https:\/\/kyle.ai\/blog\/wp-content\/uploads\/2018\/04\/pi.png\" alt=\"\" width=\"388\" height=\"38\" 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