圆周率的位数

\u5706\u5468\u7387\u662f\u591a\u5c11\uff1f\u6709\u51e0\u4f4d\u6570\uff1f

\u5706\u5468\u7387\u662f\u4e00\u4e2a\u6781\u5176\u9a70\u540d\u7684\u6570\u3002\u4ece\u6709\u6587\u5b57\u8bb0\u8f7d\u7684\u5386\u53f2\u5f00\u59cb\uff0c\u8fd9\u4e2a\u6570\u5c31\u5f15\u8fdb\u4e86\u5916\u884c\u4eba\u548c\u5b66\u8005\u4eec\u7684\u5174\u8da3\u3002\u4f5c\u4e3a\u4e00\u4e2a\u975e\u5e38\u91cd\u8981\u7684\u5e38\u6570\uff0c\u5706\u5468\u7387\u6700\u65e9\u662f\u51fa\u4e8e\u89e3\u51b3\u6709\u5173\u5706\u7684\u8ba1\u7b97\u95ee\u9898\u3002\u4ec5\u51ed\u8fd9\u4e00\u70b9\uff0c\u6c42\u51fa\u5b83\u7684\u5c3d\u91cf\u51c6\u786e\u7684\u8fd1\u4f3c\u503c\uff0c\u5c31\u662f\u4e00\u4e2a\u6781\u5176\u8feb\u5207\u7684\u95ee\u9898\u4e86\u3002\u4e8b\u5b9e\u4e5f\u662f\u5982\u6b64\uff0c\u51e0\u5343\u5e74\u6765\u4f5c\u4e3a\u6570\u5b66\u5bb6\u4eec\u7684\u594b\u6597\u76ee\u6807\uff0c\u53e4\u4eca\u4e2d\u5916\u4e00\u4ee3\u4e00\u4ee3\u7684\u6570\u5b66\u5bb6\u4e3a\u6b64\u732e\u51fa\u4e86\u81ea\u5df1\u7684\u667a\u6167\u548c\u52b3\u52a8\u3002\u56de\u987e\u5386\u53f2\uff0c\u4eba\u7c7b\u5bf9 \u03c0 \u7684\u8ba4\u8bc6\u8fc7\u7a0b\uff0c\u53cd\u6620\u4e86\u6570\u5b66\u548c\u8ba1\u7b97\u6280\u672f\u53d1\u5c55\u60c5\u5f62\u7684\u4e00\u4e2a\u4fa7\u9762\u3002 \u03c0 \u7684\u7814\u7a76\uff0c\u5728\u4e00\u5b9a\u7a0b\u5ea6\u4e0a\u53cd\u6620\u8fd9\u4e2a\u5730\u533a\u6216\u65f6\u4ee3\u7684\u6570\u5b66\u6c34\u5e73\u3002\u5fb7\u56fd\u6570\u5b66\u53f2\u5bb6\u5eb7\u6258\u8bf4\uff1a"\u5386\u53f2\u4e0a\u4e00\u4e2a\u56fd\u5bb6\u6240\u7b97\u5f97\u7684\u5706\u5468\u7387\u7684\u51c6\u786e\u7a0b\u5ea6\uff0c\u53ef\u4ee5\u4f5c\u4e3a\u8861\u91cf\u8fd9\u4e2a\u56fd\u5bb6\u5f53\u65f6\u6570\u5b66\u53d1\u5c55\u6c34\u5e73\u7684\u6307\u6807\u3002"\u76f4\u523019\u4e16\u7eaa\u521d\uff0c\u6c42\u5706\u5468\u7387\u7684\u503c\u5e94\u8be5\u8bf4\u662f\u6570\u5b66\u4e2d\u7684\u5934\u53f7\u96be\u9898\u3002\u4e3a\u6c42\u5f97\u5706\u5468\u7387\u7684\u503c\uff0c\u4eba\u7c7b\u8d70\u8fc7\u4e86\u6f2b\u957f\u800c\u66f2\u6298\u7684\u9053\u8def\uff0c\u5b83\u7684\u5386\u53f2\u662f\u9976\u6709\u8da3\u5473\u7684\u3002\u6211\u4eec\u53ef\u4ee5\u5c06\u8fd9\u4e00\u8ba1\u7b97\u5386\u7a0b\u5206\u4e3a\u51e0\u4e2a\u9636\u6bb5\u3002




\u5b9e\u9a8c\u65f6\u671f


\u901a\u8fc7\u5b9e\u9a8c\u5bf9 \u03c0 \u503c\u8fdb\u884c\u4f30\u7b97\uff0c\u8fd9\u662f\u8ba1\u7b97 \u03c0 \u7684\u7684\u7b2c\u4e00\u9636\u6bb5\u3002\u8fd9\u79cd\u5bf9 \u03c0 \u503c\u7684\u4f30\u7b97\u57fa\u672c\u4e0a\u90fd\u662f\u4ee5\u89c2\u5bdf\u6216\u5b9e\u9a8c\u4e3a\u6839\u636e\uff0c\u662f\u57fa\u4e8e\u5bf9\u4e00\u4e2a\u5706\u7684\u5468\u957f\u548c\u76f4\u5f84\u7684\u5b9e\u9645\u6d4b\u91cf\u800c\u5f97\u51fa\u7684\u3002\u5728\u53e4\u4ee3\u4e16\u754c\uff0c\u5b9e\u9645\u4e0a\u957f\u671f\u4f7f\u7528 \u03c0 \uff1d3\u8fd9\u4e2a\u6570\u503c\u3002\u6700\u65e9\u89c1\u4e8e\u6587\u5b57\u8bb0\u8f7d\u7684\u6709\u57fa\u7763\u6559\u300a\u5723\u7ecf\u300b\u4e2d\u7684\u7ae0\u8282\uff0c\u5176\u4e0a\u53d6\u5706\u5468\u7387\u4e3a3\u3002\u8fd9\u4e00\u6bb5\u63cf\u8ff0\u7684\u4e8b\u5927\u7ea6\u53d1\u751f\u5728\u516c\u5143\u524d950\u5e74\u524d\u540e\u3002\u5176\u4ed6\u5982\u5df4\u6bd4\u4f26\u3001\u5370\u5ea6\u3001\u4e2d\u56fd\u7b49\u4e5f\u957f\u671f\u4f7f\u75283\u8fd9\u4e2a\u7c97\u7565\u800c\u7b80\u5355\u5b9e\u7528\u7684\u6570\u503c\u3002\u5728\u6211\u56fd\u5218\u5fbd\u4e4b\u524d"\u5706\u5f84\u4e00\u800c\u5468\u4e09"\u66fe\u5e7f\u6cdb\u6d41\u4f20\u3002\u6211\u56fd\u7b2c\u4e00\u90e8\u300a\u5468\u9ac0\u7b97\u7ecf\u300b\u4e2d\uff0c\u5c31\u8bb0\u8f7d\u6709\u5706"\u5468\u4e09\u5f84\u4e00"\u8fd9\u4e00\u7ed3\u8bba\u3002\u5728\u6211\u56fd\uff0c\u6728\u5de5\u5e08\u5085\u6709\u4e24\u53e5\u4ece\u53e4\u6d41\u4f20\u4e0b\u6765\u7684\u53e3\u8bc0\uff1a\u53eb\u505a\uff1a"\u5468\u4e09\u5f84\u4e00\uff0c\u65b9\u4e94\u659c\u4e03"\uff0c\u610f\u601d\u662f\u8bf4\uff0c\u76f4\u5f84\u4e3a1\u7684\u5706\uff0c\u5468\u957f\u5927\u7ea6\u662f3\uff0c\u8fb9\u957f\u4e3a5\u7684\u6b63\u65b9\u5f62\uff0c\u5bf9\u89d2\u7ebf\u4e4b\u957f\u7ea6\u4e3a7\u3002\u8fd9\u6b63\u53cd\u6620\u4e86\u65e9\u671f\u4eba\u4eec\u5bf9\u5706\u5468\u7387 \u03c0 \u548c\u221a2 \u8fd9\u4e24\u4e2a\u65e0\u7406\u6570\u7684\u7c97\u7565\u4f30\u8ba1\u3002\u4e1c\u6c49\u65f6\u671f\u5b98\u65b9\u8fd8\u660e\u6587\u89c4\u5b9a\u5706\u5468\u7387\u53d63\u4e3a\u8ba1\u7b97\u9762\u79ef\u7684\u6807\u51c6\u3002\u540e\u4eba\u79f0\u4e4b\u4e3a"\u53e4\u7387"\u3002

\u65e9\u671f\u7684\u4eba\u4eec\u8fd8\u4f7f\u7528\u4e86\u5176\u5b83\u7684\u7c97\u7cd9\u65b9\u6cd5\u3002\u5982\u53e4\u57c3\u53ca\u3001\u53e4\u5e0c\u814a\u4eba\u66fe\u7528\u8c37\u7c92\u6446\u5728\u5706\u5f62\u4e0a\uff0c\u4ee5\u6570\u7c92\u6570\u4e0e\u65b9\u5f62\u5bf9\u6bd4\u7684\u65b9\u6cd5\u53d6\u5f97\u6570\u503c\u3002\u6216\u7528\u5300\u91cd\u6728\u677f\u952f\u6210\u5706\u5f62\u548c\u65b9\u5f62\u4ee5\u79e4\u91cf\u5bf9\u6bd4\u53d6\u503c\u2026\u2026\u7531\u6b64\uff0c\u5f97\u5230\u5706\u5468\u7387\u7684\u7a0d\u597d\u4e9b\u7684\u503c\u3002\u5982\u53e4\u57c3\u53ca\u4eba\u5e94\u7528\u4e86\u7ea6\u56db\u5343\u5e74\u7684 4 (8/9)2 = 3.1605\u3002\u5728\u5370\u5ea6\uff0c\u516c\u5143\u524d\u516d\u4e16\u7eaa\uff0c\u66fe\u53d6 \u03c0= \u221a10 = 3.162\u3002\u5728\u6211\u56fd\u4e1c\u3001\u897f\u6c49\u4e4b\u4ea4\uff0c\u65b0\u671d\u738b\u83bd\u4ee4\u5218\u6b46\u5236\u9020\u91cf\u7684\u5bb9\u5668\u2015\u2015\u5f8b\u5609\u91cf\u659b\u3002\u5218\u6b46\u5728\u5236\u9020\u6807\u51c6\u5bb9\u5668\u7684\u8fc7\u7a0b\u4e2d\u5c31\u9700\u8981\u7528\u5230\u5706\u5468\u7387\u7684\u503c\u3002\u4e3a\u6b64\uff0c\u4ed6\u5927\u7ea6\u4e5f\u662f\u901a\u8fc7\u505a\u5b9e\u9a8c\uff0c\u5f97\u5230\u4e00\u4e9b\u5173\u4e8e\u5706\u5468\u7387\u7684\u5e76\u4e0d\u5212\u4e00\u7684\u8fd1\u4f3c\u503c\u3002\u73b0\u5728\u6839\u636e\u94ed\u6587\u63a8\u7b97\uff0c\u5176\u8ba1\u7b97\u503c\u5206\u522b\u53d6\u4e3a3.1547\uff0c3.1992\uff0c3.1498\uff0c3.2031\u6bd4\u5f84\u4e00\u5468\u4e09\u7684\u53e4\u7387\u5df2\u6709\u6240\u8fdb\u6b65\u3002\u4eba\u7c7b\u7684\u8fd9\u79cd\u63a2\u7d22\u7684\u7ed3\u679c\uff0c\u5f53\u4e3b\u8981\u4f30\u8ba1\u5706\u7530\u9762\u79ef\u65f6\uff0c\u5bf9\u751f\u4ea7\u6ca1\u6709\u592a\u5927\u5f71\u54cd\uff0c\u4f46\u4ee5\u6b64\u6765\u5236\u9020\u5668\u76bf\u6216\u5176\u5b83\u8ba1\u7b97\u5c31\u4e0d\u5408\u9002\u4e86\u3002




\u51e0\u4f55\u6cd5\u65f6\u671f


\u51ed\u76f4\u89c2\u63a8\u6d4b\u6216\u5b9e\u7269\u5ea6\u91cf\uff0c\u6765\u8ba1\u7b97 \u03c0 \u503c\u7684\u5b9e\u9a8c\u65b9\u6cd5\u6240\u5f97\u5230\u7684\u7ed3\u679c\u662f\u76f8\u5f53\u7c97\u7565\u7684\u3002

\u771f\u6b63\u4f7f\u5706\u5468\u7387\u8ba1\u7b97\u5efa\u7acb\u5728\u79d1\u5b66\u7684\u57fa\u7840\u4e0a\uff0c\u9996\u5148\u5e94\u5f52\u529f\u4e8e\u963f\u57fa\u7c73\u5fb7\u3002\u4ed6\u662f\u79d1\u5b66\u5730\u7814\u7a76\u8fd9\u4e00\u5e38\u6570\u7684\u7b2c\u4e00\u4e2a\u4eba\uff0c\u662f\u4ed6\u9996\u5148\u63d0\u51fa\u4e86\u4e00\u79cd\u80fd\u591f\u501f\u52a9\u6570\u5b66\u8fc7\u7a0b\u800c\u4e0d\u662f\u901a\u8fc7\u6d4b\u91cf\u7684\u3001\u80fd\u591f\u628a \u03c0 \u7684\u503c\u7cbe\u786e\u5230\u4efb\u610f\u7cbe\u5ea6\u7684\u65b9\u6cd5\u3002\u7531\u6b64\uff0c\u5f00\u521b\u4e86\u5706\u5468\u7387\u8ba1\u7b97\u7684\u7b2c\u4e8c\u9636\u6bb5\u3002



\u5706\u5468\u957f\u5927\u4e8e\u5185\u63a5\u6b63\u56db\u8fb9\u5f62\u800c\u5c0f\u4e8e\u5916\u5207\u6b63\u56db\u8fb9\u5f62\uff0c\u56e0\u6b64 2\u221a2 \uff1c \u03c0 \uff1c 4 \u3002
\u5f53\u7136\uff0c\u8fd9\u662f\u4e00\u4e2a\u5dee\u52b2\u900f\u9876\u7684\u4f8b\u5b50\u3002\u636e\u8bf4\u963f\u57fa\u7c73\u5fb7\u7528\u5230\u4e86\u6b6396\u8fb9\u5f62\u624d\u7b97\u51fa\u4ed6\u7684\u503c\u57df\u3002

\u963f\u57fa\u7c73\u5fb7\u6c42\u5706\u5468\u7387\u7684\u66f4\u7cbe\u786e\u8fd1\u4f3c\u503c\u7684\u65b9\u6cd5\uff0c\u4f53\u73b0\u5728\u4ed6\u7684\u4e00\u7bc7\u8bba\u6587\u300a\u5706\u7684\u6d4b\u5b9a\u300b\u4e4b\u4e2d\u3002\u5728\u8fd9\u4e00\u4e66\u4e2d\uff0c\u963f\u57fa\u7c73\u5fb7\u7b2c\u4e00\u6b21\u521b\u7528\u4e0a\u3001\u4e0b\u754c\u6765\u786e\u5b9a \u03c0 \u7684\u8fd1\u4f3c\u503c\uff0c\u4ed6\u7528\u51e0\u4f55\u65b9\u6cd5\u8bc1\u660e\u4e86"\u5706\u5468\u957f\u4e0e\u5706\u76f4\u5f84\u4e4b\u6bd4\u5c0f\u4e8e 3+(1/7) \u800c\u5927\u4e8e 3 + (10/71) "\uff0c\u4ed6\u8fd8\u63d0\u4f9b\u4e86\u8bef\u5dee\u7684\u4f30\u8ba1\u3002\u91cd\u8981\u7684\u662f\uff0c\u8fd9\u79cd\u65b9\u6cd5\u4ece\u7406\u8bba\u4e0a\u800c\u8a00\uff0c\u80fd\u591f\u6c42\u5f97\u5706\u5468\u7387\u7684\u66f4\u51c6\u786e\u7684\u503c\u3002\u5230\u516c\u5143150\u5e74\u5de6\u53f3\uff0c\u5e0c\u814a\u5929\u6587\u5b66\u5bb6\u6258\u52d2\u5bc6\u5f97\u51fa \u03c0 \uff1d3.1416\uff0c\u53d6\u5f97\u4e86\u81ea\u963f\u57fa\u7c73\u5fb7\u4ee5\u6765\u7684\u5de8\u5927\u8fdb\u6b65\u3002




\u5272\u5706\u672f\u3002\u4e0d\u65ad\u5730\u5229\u7528\u52fe\u80a1\u5b9a\u7406\uff0c\u6765\u8ba1\u7b97\u6b63N\u8fb9\u5f62\u7684\u8fb9\u957f\u3002

\u5728\u6211\u56fd\uff0c\u9996\u5148\u662f\u7531\u6570\u5b66\u5bb6\u5218\u5fbd\u5f97\u51fa\u8f83\u7cbe\u786e\u7684\u5706\u5468\u7387\u3002\u516c\u5143263\u5e74\u524d\u540e\uff0c\u5218\u5fbd\u63d0\u51fa\u8457\u540d\u7684\u5272\u5706\u672f\uff0c\u5f97\u51fa \u03c0 \uff1d3.14\uff0c\u901a\u5e38\u79f0\u4e3a"\u5fbd\u7387"\uff0c\u4ed6\u6307\u51fa\u8fd9\u662f\u4e0d\u8db3\u8fd1\u4f3c\u503c\u3002\u867d\u7136\u4ed6\u63d0\u51fa\u5272\u5706\u672f\u7684\u65f6\u95f4\u6bd4\u963f\u57fa\u7c73\u5fb7\u665a\u4e00\u4e9b\uff0c\u4f46\u5176\u65b9\u6cd5\u786e\u6709\u7740\u8f83\u963f\u57fa\u7c73\u5fb7\u65b9\u6cd5\u66f4\u7f8e\u5999\u4e4b\u5904\u3002\u5272\u5706\u672f\u4ec5\u7528\u5185\u63a5\u6b63\u591a\u8fb9\u5f62\u5c31\u786e\u5b9a\u51fa\u4e86\u5706\u5468\u7387\u7684\u4e0a\u3001\u4e0b\u754c\uff0c\u6bd4\u963f\u57fa\u7c73\u5fb7\u7528\u5185\u63a5\u540c\u65f6\u53c8\u7528\u5916\u5207\u6b63\u591a\u8fb9\u5f62\u7b80\u6377\u5f97\u591a\u3002\u53e6\u5916\uff0c\u6709\u4eba\u8ba4\u4e3a\u5728\u5272\u5706\u672f\u4e2d\u5218\u5fbd\u63d0\u4f9b\u4e86\u4e00\u79cd\u7edd\u5999\u7684\u7cbe\u52a0\u5de5\u529e\u6cd5\uff0c\u4ee5\u81f4\u4e8e\u4ed6\u5c06\u5272\u5230192\u8fb9\u5f62\u7684\u51e0\u4e2a\u7c97\u7cd9\u7684\u8fd1\u4f3c\u503c\u901a\u8fc7\u7b80\u5355\u7684\u52a0\u6743\u5e73\u5747\uff0c\u7adf\u7136\u83b7\u5f97\u5177\u67094\u4f4d\u6709\u6548\u6570\u5b57\u7684\u5706\u5468\u7387 \u03c0 \uff1d3927/1250 \uff1d3.1416\u3002\u800c\u8fd9\u4e00\u7ed3\u679c\uff0c\u6b63\u5982\u5218\u5fbd\u672c\u4eba\u6307\u51fa\u7684\uff0c\u5982\u679c\u901a\u8fc7\u5272\u5706\u8ba1\u7b97\u5f97\u51fa\u8fd9\u4e2a\u7ed3\u679c\uff0c\u9700\u8981\u5272\u52303072\u8fb9\u5f62\u3002\u8fd9\u79cd\u7cbe\u52a0\u5de5\u65b9\u6cd5\u7684\u6548\u679c\u662f\u5947\u5999\u7684\u3002\u8fd9\u4e00\u795e\u5947\u7684\u7cbe\u52a0\u5de5\u6280\u672f\u662f\u5272\u5706\u672f\u4e2d\u6700\u4e3a\u7cbe\u5f69\u7684\u90e8\u5206\uff0c\u4ee4\u4eba\u9057\u61be\u7684\u662f\uff0c\u7531\u4e8e\u4eba\u4eec\u5bf9\u5b83\u7f3a\u4e4f\u7406\u89e3\u800c\u88ab\u957f\u671f\u57cb\u6ca1\u4e86\u3002

\u6050\u6015\u5927\u5bb6\u66f4\u52a0\u719f\u6089\u7684\u662f\u7956\u51b2\u4e4b\u6240\u505a\u51fa\u7684\u8d21\u732e\u5427\u3002\u5bf9\u6b64\uff0c\u300a\u968b\u4e66\u00b7\u5f8b\u5386\u5fd7\u300b\u6709\u5982\u4e0b\u8bb0\u8f7d\uff1a"\u5b8b\u672b\uff0c\u5357\u5f90\u5dde\u4ece\u4e8b\u7956\u51b2\u4e4b\u66f4\u5f00\u5bc6\u6cd5\u3002\u4ee5\u5706\u5f84\u4e00\u4ebf\u4e3a\u4e08\uff0c\u5706\u5468\u76c8\u6570\u4e09\u4e08\u4e00\u5c3a\u56db\u5bf8\u4e00\u5206\u4e94\u5398\u4e5d\u6beb\u4e8c\u79d2\u4e03\u5ffd\uff0c\u6712\u6570\u4e09\u4e08\u4e00\u5c3a\u56db\u5bf8\u4e00\u5206\u4e94\u5398\u4e5d\u6beb\u4e8c\u79d2\u516d\u5ffd\uff0c\u6b63\u6570\u5728\u76c8\u6712\u4e8c\u9650\u4e4b\u95f4\u3002\u5bc6\u7387\uff1a\u5706\u5f84\u4e00\u767e\u4e00\u5341\u4e09\uff0c\u5706\u5468\u4e09\u767e\u4e94\u5341\u4e94\u3002\u7ea6\u7387\uff0c\u5706\u5f84\u4e03\uff0c\u5468\u4e8c\u5341\u4e8c\u3002"

\u8fd9\u4e00\u8bb0\u5f55\u6307\u51fa\uff0c\u7956\u51b2\u4e4b\u5173\u4e8e\u5706\u5468\u7387\u7684\u4e24\u5927\u8d21\u732e\u3002\u5176\u4e00\u662f\u6c42\u5f97\u5706\u5468\u7387

3.1415926 \uff1c \u03c0 \uff1c 3.1415927

\u5176\u4e8c\u662f\uff0c\u5f97\u5230 \u03c0 \u7684\u4e24\u4e2a\u8fd1\u4f3c\u5206\u6570\u5373\uff1a\u7ea6\u7387\u4e3a22\uff0f7\uff1b\u5bc6\u7387\u4e3a355\uff0f113\u3002

\u4ed6\u7b97\u51fa\u7684 \u03c0 \u76848\u4f4d\u53ef\u9760\u6570\u5b57\uff0c\u4e0d\u4f46\u5728\u5f53\u65f6\u662f\u6700\u7cbe\u5bc6\u7684\u5706\u5468\u7387\uff0c\u800c\u4e14\u4fdd\u6301\u4e16\u754c\u8bb0\u5f55\u4e5d\u767e\u591a\u5e74\u3002\u4ee5\u81f4\u4e8e\u6709\u6570\u5b66\u53f2\u5bb6\u63d0\u8bae\u5c06\u8fd9\u4e00\u7ed3\u679c\u547d\u540d\u4e3a"\u7956\u7387"\u3002

\u8fd9\u4e00\u7ed3\u679c\u662f\u5982\u4f55\u83b7\u5f97\u7684\u5462\uff1f\u8ffd\u6839\u6eaf\u6e90\uff0c\u6b63\u662f\u57fa\u4e8e\u5bf9\u5218\u5fbd\u5272\u5706\u672f\u7684\u7ee7\u627f\u4e0e\u53d1\u5c55\uff0c\u7956\u51b2\u4e4b\u624d\u80fd\u5f97\u5230\u8fd9\u4e00\u975e\u51e1\u7684\u6210\u679c\u3002\u56e0\u800c\u5f53\u6211\u4eec\u79f0\u9882\u7956\u51b2\u4e4b\u7684\u529f\u7ee9\u65f6\uff0c\u4e0d\u8981\u5fd8\u8bb0\u4ed6\u7684\u6210\u5c31\u7684\u53d6\u5f97\u662f\u56e0\u4e3a\u4ed6\u7ad9\u5728\u6570\u5b66\u4f1f\u4eba\u5218\u5fbd\u7684\u80a9\u8180\u4e0a\u7684\u7f18\u6545\u3002\u540e\u4eba\u66fe\u63a8\u7b97\u82e5\u8981\u5355\u7eaf\u5730\u901a\u8fc7\u8ba1\u7b97\u5706\u5185\u63a5\u591a\u8fb9\u5f62\u8fb9\u957f\u7684\u8bdd\uff0c\u5f97\u5230\u8fd9\u4e00\u7ed3\u679c\uff0c\u9700\u8981\u7b97\u5230\u5706\u5185\u63a5\u6b6312288\u8fb9\u5f62\uff0c\u624d\u80fd\u5f97\u5230\u8fd9\u6837\u7cbe\u786e\u5ea6\u7684\u503c\u3002\u7956\u51b2\u4e4b\u662f\u5426\u8fd8\u4f7f\u7528\u4e86\u5176\u5b83\u7684\u5de7\u5999\u529e\u6cd5\u6765\u7b80\u5316\u8ba1\u7b97\u5462\uff1f\u8fd9\u5df2\u7ecf\u4e0d\u5f97\u800c\u77e5\uff0c\u56e0\u4e3a\u8bb0\u8f7d\u5176\u7814\u7a76\u6210\u679c\u7684\u8457\u4f5c\u300a\u7f00\u672f\u300b\u65e9\u5df2\u5931\u4f20\u4e86\u3002\u8fd9\u5728\u4e2d\u56fd\u6570\u5b66\u53d1\u5c55\u53f2\u4e0a\u662f\u4e00\u4ef6\u6781\u4ee4\u4eba\u75db\u60dc\u7684\u4e8b\u3002




\u4e2d\u56fd\u53d1\u884c\u7684\u7956\u51b2\u4e4b\u7eaa\u5ff5\u90ae\u7968

\u7956\u51b2\u4e4b\u7684\u8fd9\u4e00\u7814\u7a76\u6210\u679c\u4eab\u6709\u4e16\u754c\u58f0\u8a89\uff1a\u5df4\u9ece"\u53d1\u73b0\u5bab"\u79d1\u5b66\u535a\u7269\u9986\u7684\u5899\u58c1\u4e0a\u8457\u6587\u4ecb\u7ecd\u4e86\u7956\u51b2\u4e4b\u6c42\u5f97\u7684\u5706\u5468\u7387\uff0c\u83ab\u65af\u79d1\u5927\u5b66\u793c\u5802\u7684\u8d70\u5eca\u4e0a\u9576\u5d4c\u6709\u7956\u51b2\u4e4b\u7684\u5927\u7406\u77f3\u5851\u50cf\uff0c\u6708\u7403\u4e0a\u6709\u4ee5\u7956\u51b2\u4e4b\u547d\u540d\u7684\u73af\u5f62\u5c71\u2026\u2026

\u5bf9\u4e8e\u7956\u51b2\u4e4b\u7684\u5173\u4e8e\u5706\u5468\u7387\u7684\u7b2c\u4e8c\u70b9\u8d21\u732e\uff0c\u5373\u4ed6\u9009\u7528\u4e24\u4e2a\u7b80\u5355\u7684\u5206\u6570\u5c24\u5176\u662f\u7528\u5bc6\u7387\u6765\u8fd1\u4f3c\u5730\u8868\u793a \u03c0 \u8fd9\u4e00\u70b9\uff0c\u901a\u5e38\u4eba\u4eec\u4e0d\u4f1a\u592a\u6ce8\u610f\u3002\u7136\u800c\uff0c\u5b9e\u9645\u4e0a\uff0c\u540e\u8005\u5728\u6570\u5b66\u4e0a\u6709\u66f4\u91cd\u8981\u7684\u610f\u4e49\u3002

\u5bc6\u7387\u4e0e \u03c0 \u7684\u8fd1\u4f3c\u7a0b\u5ea6\u5f88\u597d\uff0c\u4f46\u5f62\u5f0f\u4e0a\u5374\u5f88\u7b80\u5355\uff0c\u5e76\u4e14\u5f88\u4f18\u7f8e\uff0c\u53ea\u7528\u5230\u4e86\u6570\u5b571\u30013\u30015\u3002\u6570\u5b66\u53f2\u5bb6\u6881\u5b97\u5de8\u6559\u6388\u9a8c\u8bc1\u51fa\uff1a\u5206\u6bcd\u5c0f\u4e8e16604\u7684\u4e00\u5207\u5206\u6570\u4e2d\uff0c\u6ca1\u6709\u6bd4\u5bc6\u7387\u66f4\u63a5\u8fd1 \u03c0 \u7684\u5206\u6570\u3002\u5728\u56fd\u5916\uff0c\u7956\u51b2\u4e4b\u6b7b\u540e\u4e00\u5343\u591a\u5e74\uff0c\u897f\u65b9\u4eba\u624d\u83b7\u5f97\u8fd9\u4e00\u7ed3\u679c\u3002

\u53ef\u89c1\uff0c\u5bc6\u7387\u7684\u63d0\u51fa\u662f\u4e00\u4ef6\u5f88\u4e0d\u7b80\u5355\u7684\u4e8b\u60c5\u3002\u4eba\u4eec\u81ea\u7136\u8981\u8ffd\u7a76\u4ed6\u662f\u91c7\u7528\u4ec0\u4e48\u529e\u6cd5\u5f97\u5230\u8fd9\u4e00\u7ed3\u679c\u7684\u5462\uff1f\u4ed6\u662f\u7528\u4ec0\u4e48\u529e\u6cd5\u628a\u5706\u5468\u7387\u4ece\u5c0f\u6570\u8868\u793a\u7684\u8fd1\u4f3c\u503c\u5316\u4e3a\u8fd1\u4f3c\u5206\u6570\u7684\u5462\uff1f\u8fd9\u4e00\u95ee\u9898\u5386\u6765\u4e3a\u6570\u5b66\u53f2\u5bb6\u6240\u5173\u6ce8\u3002\u7531\u4e8e\u6587\u732e\u7684\u5931\u4f20\uff0c\u7956\u51b2\u4e4b\u7684\u6c42\u6cd5\u5df2\u4e0d\u4e3a\u4eba\u77e5\u3002\u540e\u4eba\u5bf9\u6b64\u8fdb\u884c\u4e86\u5404\u79cd\u731c\u6d4b\u3002

\u8ba9\u6211\u4eec\u5148\u770b\u770b\u56fd\u5916\u5386\u53f2\u4e0a\u7684\u5de5\u4f5c\uff0c\u5e0c\u671b\u80fd\u591f\u63d0\u4f9b\u51fa\u4e00\u4e9b\u4fe1\u606f\u3002

1573\u5e74\uff0c\u5fb7\u56fd\u4eba\u5965\u6258\u5f97\u51fa\u8fd9\u4e00\u7ed3\u679c\u3002\u4ed6\u662f\u7528\u963f\u57fa\u7c73\u5fb7\u6210\u679c22\uff0f7\u4e0e\u6258\u52d2\u5bc6\u7684\u7ed3\u679c377\uff0f120\u7528\u7c7b\u4f3c\u4e8e\u52a0\u6210\u6cd5"\u5408\u6210"\u7684\uff1a(377-22) / (120-7) = 355/113\u3002

1585\u5e74\uff0c\u8377\u5170\u4eba\u5b89\u6258\u5c3c\u5179\u7528\u963f\u57fa\u7c73\u5fb7\u7684\u65b9\u6cd5\u5148\u6c42\u5f97\uff1a333/106 \uff1c \u03c0 \uff1c 377/120\uff0c\u7528\u4e24\u8005\u4f5c\u4e3a \u03c0 \u7684\u6bcd\u8fd1\u4f3c\u503c\uff0c\u5206\u5b50\u3001\u5206\u6bcd\u5404\u53d6\u5e73\u5747\uff0c\u901a\u8fc7\u52a0\u6210\u6cd5\u83b7\u5f97\u7ed3\u679c\uff1a3 ((15+17)/(106+120) = 355/113\u3002

\u4e24\u4e2a\u867d\u90fd\u5f97\u51fa\u4e86\u7956\u51b2\u4e4b\u5bc6\u7387\uff0c\u4f46\u4f7f\u7528\u65b9\u6cd5\u90fd\u4e3a\u5076\u5408\uff0c\u65e0\u7406\u7531\u53ef\u8a00\u3002

\u5728\u65e5\u672c\uff0c\u5341\u4e03\u4e16\u7eaa\u5173\u5b5d\u548c\u91cd\u8981\u8457\u4f5c\u300a\u62ec\u8981\u7b97\u6cd5\u300b\u5377\u56db\u4e2d\u6c42\u5706\u5468\u7387\u65f6\u521b\u7acb\u96f6\u7ea6\u672f\uff0c\u5176\u5b9e\u8d28\u5c31\u662f\u7528\u52a0\u6210\u6cd5\u6765\u6c42\u8fd1\u4f3c\u5206\u6570\u7684\u65b9\u6cd5\u3002\u4ed6\u4ee53\u30014\u4f5c\u4e3a\u6bcd\u8fd1\u4f3c\u503c\uff0c\u8fde\u7eed\u52a0\u6210\u516d\u6b21\u5f97\u5230\u7956\u51b2\u4e4b\u7ea6\u7387\uff0c\u52a0\u6210\u4e00\u767e\u5341\u4e8c\u6b21\u5f97\u5230\u5bc6\u7387\u3002\u5176\u5b66\u751f\u5bf9\u8fd9\u79cd\u6309\u90e8\u5c31\u73ed\u7684\u7b28\u529e\u6cd5\u4f5c\u4e86\u6539\u8fdb\uff0c\u63d0\u51fa\u4ece\u76f8\u90bb\u7684\u4e0d\u8db3\u3001\u8fc7\u5269\u8fd1\u4f3c\u503c\u5c31\u8fd1\u52a0\u6210\u7684\u529e\u6cd5\uff0c\uff08\u5b9e\u9645\u4e0a\u5c31\u662f\u6211\u4eec\u524d\u9762\u5df2\u7ecf\u63d0\u5230\u7684\u52a0\u6210\u6cd5\uff09\u8fd9\u6837\u4ece3\u30014\u51fa\u53d1\uff0c\u516d\u6b21\u52a0\u6210\u5230\u7ea6\u7387\uff0c\u7b2c\u4e03\u6b21\u51fa\u73b025\uff0f8\uff0c\u5c31\u8fd1\u4e0e\u5176\u7d27\u90bb\u768422\uff0f7\u52a0\u6210\uff0c\u5f9747\uff0f15\uff0c\u4f9d\u6b21\u7c7b\u63a8\uff0c\u53ea\u8981\u52a0\u621023\u6b21\u5c31\u5f97\u5230\u5bc6\u7387\u3002

\u94b1\u5b97\u742e\u5148\u751f\u5728\u300a\u4e2d\u56fd\u7b97\u5b66\u53f2\u300b\uff081931\u5e74\uff09\u4e2d\u63d0\u51fa\u7956\u51b2\u4e4b\u91c7\u7528\u4e86\u6211\u4eec\u524d\u9762\u63d0\u5230\u7684\u7531\u4f55\u627f\u5929\u9996\u521b\u7684"\u8c03\u65e5\u6cd5"\u6216\u79f0\u52a0\u6743\u52a0\u6210\u6cd5\u3002\u4ed6\u8bbe\u60f3\u4e86\u7956\u51b2\u4e4b\u6c42\u5bc6\u7387\u7684\u8fc7\u7a0b\uff1a\u4ee5\u5fbd\u7387157\uff0f50\uff0c\u7ea6\u738722\uff0f7\u4e3a\u6bcd\u8fd1\u4f3c\u503c\uff0c\u5e76\u8ba1\u7b97\u52a0\u6210\u6743\u6570x=9\uff0c\u4e8e\u662f (157 + 22\u00d7\uff0c9) / (50+7\u00d79) = 355/113\uff0c\u4e00\u4e3e\u5f97\u5230\u5bc6\u7387\u3002\u94b1\u5148\u751f\u8bf4\uff1a"\u51b2\u4e4b\u5728\u627f\u5929\u540e\uff0c\u7528\u5176\u672f\u4ee5\u9020\u5bc6\u7387\uff0c\u4ea6\u610f\u4e2d\u4e8b\u8033\u3002"

\u53e6\u4e00\u79cd\u63a8\u6d4b\u662f\uff1a\u4f7f\u7528\u8fde\u5206\u6570\u6cd5\u3002

\u7531\u4e8e\u6c42\u4e8c\u81ea\u7136\u6570\u7684\u6700\u5927\u516c\u7ea6\u6570\u7684\u66f4\u76f8\u51cf\u635f\u672f\u8fdc\u5728\u300a\u4e5d\u7ae0\u7b97\u672f\u300b\u6210\u4e66\u65f6\u4ee3\u5df2\u6d41\u884c\uff0c\u6240\u4ee5\u501f\u52a9\u8fd9\u4e00\u5de5\u5177\u6c42\u8fd1\u4f3c\u5206\u6570\u5e94\u8be5\u662f\u6bd4\u8f83\u81ea\u7136\u7684\u3002\u4e8e\u662f\u6709\u4eba\u63d0\u51fa\u7956\u51b2\u4e4b\u53ef\u80fd\u662f\u5728\u6c42\u5f97\u76c8 \u4e8c\u6570\u4e4b\u540e\uff0c\u518d\u4f7f\u7528\u8fd9\u4e2a\u5de5\u5177\uff0c\u5c063.14159265\u8868\u793a\u6210\u8fde\u5206\u6570\uff0c\u5f97\u5230\u5176\u6e10\u8fd1\u5206\u6570\uff1a3\uff0c22\uff0f7\uff0c333\uff0f106\uff0c355\uff0f113\uff0c102573\uff0f32650\u2026

\u6700\u540e\uff0c\u53d6\u7cbe\u786e\u5ea6\u5f88\u9ad8\u4f46\u5206\u5b50\u5206\u6bcd\u90fd\u8f83\u5c0f\u7684355\uff0f113\u4f5c\u4e3a\u5706\u5468\u7387\u7684\u8fd1\u4f3c\u503c\u3002\u81f3\u4e8e\u4e0a\u9762\u5706\u5468\u7387\u6e10\u8fd1\u5206\u6570\u7684\u5177\u4f53\u6c42\u6cd5\uff0c\u8fd9\u91cc\u7565\u6389\u4e86\u3002\u4f60\u4e0d\u59a8\u5229\u7528\u6211\u4eec\u524d\u9762\u4ecb\u7ecd\u7684\u65b9\u6cd5\u81ea\u5df1\u6c42\u6c42\u770b\u3002\u82f1\u56fd\u674e\u7ea6\u745f\u535a\u58eb\u6301\u8fd9\u4e00\u89c2\u70b9\u3002\u4ed6\u5728\u300a\u4e2d\u56fd\u79d1\u5b66\u6280\u672f\u53f2\u300b\u5377\u4e09\u7b2c19\u7ae0\u51e0\u4f55\u7f16\u4e2d\u8bba\u7956\u51b2\u4e4b\u7684\u5bc6\u7387\u8bf4\uff1a"\u5bc6\u7387\u7684\u5206\u6570\u662f\u4e00\u4e2a\u8fde\u5206\u6570\u6e10\u8fd1\u6570\uff0c\u56e0\u6b64\u662f\u4e00\u4e2a\u975e\u51e1\u7684\u6210\u5c31\u3002"

\u6211\u56fd\u518d\u56de\u8fc7\u5934\u6765\u770b\u4e00\u4e0b\u56fd\u5916\u6240\u53d6\u5f97\u7684\u6210\u679c\u3002

1150\u5e74\uff0c\u5370\u5ea6\u6570\u5b66\u5bb6\u5a46\u4ec0\u8fe6\u7f57\u7b2c\u4e8c\u8ba1\u7b97\u51fa \u03c0= 3927/1250 = 3.1416\u30021424\u5e74\uff0c\u4e2d\u4e9a\u7ec6\u4e9a\u5730\u533a\u7684\u5929\u6587\u5b66\u5bb6\u3001\u6570\u5b66\u5bb6\u5361\u897f\u8457\u300a\u5706\u5468\u8bba\u300b\uff0c\u8ba1\u7b97\u4e863\u00d7228\uff1d805,306,368\u8fb9\u5185\u63a5\u4e0e\u5916\u5207\u6b63\u591a\u8fb9\u5f62\u7684\u5468\u957f\uff0c\u6c42\u51fa \u03c0 \u503c\uff0c\u4ed6\u7684\u7ed3\u679c\u662f\uff1a

\u03c0\uff1d3.14159265358979325

\u6709\u5341\u4e03\u4f4d\u51c6\u786e\u6570\u5b57\u3002\u8fd9\u662f\u56fd\u5916\u7b2c\u4e00\u6b21\u6253\u7834\u7956\u51b2\u4e4b\u7684\u8bb0\u5f55\u3002

16\u4e16\u7eaa\u7684\u6cd5\u56fd\u6570\u5b66\u5bb6\u97e6\u8fbe\u5229\u7528\u963f\u57fa\u7c73\u5fb7\u7684\u65b9\u6cd5\u8ba1\u7b97 \u03c0 \u8fd1\u4f3c\u503c\uff0c\u7528 6\u00d7216\u6b63\u8fb9\u5f62\uff0c\u63a8\u7b97\u51fa\u7cbe\u786e\u52309\u4f4d\u5c0f\u6570\u7684 \u03c0 \u503c\u3002\u4ed6\u6240\u91c7\u7528\u7684\u4ecd\u7136\u662f\u963f\u57fa\u7c73\u5fb7\u7684\u65b9\u6cd5\uff0c\u4f46\u97e6\u8fbe\u5374\u62e5\u6709\u6bd4\u963f\u57fa\u7c73\u5fb7\u66f4\u5148\u8fdb\u7684\u5de5\u5177\uff1a\u5341\u8fdb\u4f4d\u7f6e\u5236\u300217\u4e16\u7eaa\u521d\uff0c\u5fb7\u56fd\u4eba\u9c81\u9053\u592b\u7528\u4e86\u51e0\u4e4e\u4e00\u751f\u7684\u65f6\u95f4\u94bb\u7814\u8fd9\u4e2a\u95ee\u9898\u3002\u4ed6\u4e5f\u5c06\u65b0\u7684\u5341\u8fdb\u5236\u4e0e\u65e9\u7684\u963f\u57fa\u7c73\u5fb7\u65b9\u6cd5\u7ed3\u5408\u8d77\u6765\uff0c\u4f46\u4ed6\u4e0d\u662f\u4ece\u6b63\u516d\u8fb9\u5f62\u5f00\u59cb\u5e76\u5c06\u5176\u8fb9\u6570\u7ffb\u756a\u7684\uff0c\u4ed6\u662f\u4ece\u6b63\u65b9\u5f62\u5f00\u59cb\u7684\uff0c\u4e00\u76f4\u63a8\u5bfc\u51fa\u4e86\u6709262\u6761\u8fb9\u7684\u6b63\u591a\u8fb9\u5f62\uff0c\u7ea64,610,000,000,000,000,000\u8fb9\u5f62\uff01\u8fd9\u6837\uff0c\u7b97\u51fa\u5c0f\u657035\u4f4d\u3002\u4e3a\u4e86\u8bb0\u5ff5\u4ed6\u7684\u8fd9\u4e00\u975e\u51e1\u6210\u679c\uff0c\u5728\u5fb7\u56fd\u5706\u5468\u7387 \u03c0 \u88ab\u79f0\u4e3a"\u9c81\u9053\u592b\u6570"\u3002\u4f46\u662f\uff0c\u7528\u51e0\u4f55\u65b9\u6cd5\u6c42\u5176\u503c\uff0c\u8ba1\u7b97\u91cf\u5f88\u5927\uff0c\u8fd9\u6837\u7b97\u4e0b\u53bb\uff0c\u7a77\u6570\u5b66\u5bb6\u4e00\u751f\u4e5f\u6539\u8fdb\u4e0d\u4e86\u591a\u5c11\u3002\u5230\u9c81\u9053\u592b\u53ef\u4ee5\u8bf4\u5df2\u7ecf\u767b\u5cf0\u9020\u6781\uff0c\u53e4\u5178\u65b9\u6cd5\u5df2\u5f15\u5bfc\u6570\u5b66\u5bb6\u4eec\u8d70\u5f97\u5f88\u8fdc\uff0c\u518d\u5411\u524d\u63a8\u8fdb\uff0c\u5fc5\u987b\u5728\u65b9\u6cd5\u4e0a\u6709\u6240\u7a81\u7834\u3002

17\u4e16\u7eaa\u51fa\u73b0\u4e86\u6570\u5b66\u5206\u6790\uff0c\u8fd9\u9510\u5229\u7684\u5de5\u5177\u4f7f\u5f97\u8bb8\u591a\u521d\u7b49\u6570\u5b66\u675f\u624b\u65e0\u7b56\u7684\u95ee\u9898\u8fce\u5203\u800c\u89e3\u3002 \u03c0 \u7684\u8ba1\u7b97\u5386\u53f2\u4e5f\u968f\u4e4b\u8fdb\u5165\u4e86\u4e00\u4e2a\u65b0\u7684\u9636\u6bb5\u3002




\u5206\u6790\u6cd5\u65f6\u671f


\u8fd9\u4e00\u65f6\u671f\u4eba\u4eec\u5f00\u59cb\u6446\u8131\u6c42\u591a\u8fb9\u5f62\u5468\u957f\u7684\u7e41\u96be\u8ba1\u7b97\uff0c\u5229\u7528\u65e0\u7a77\u7ea7\u6570\u6216\u65e0\u7a77\u8fde\u4e58\u79ef\u6765\u7b97 \u03c0 \u3002

1593\u5e74\uff0c\u97e6\u8fbe\u7ed9\u51fa



\u8fd9\u4e00\u4e0d\u5bfb\u5e38\u7684\u516c\u5f0f\u662f \u03c0 \u7684\u6700\u65e9\u5206\u6790\u8868\u8fbe\u5f0f\u3002\u751a\u81f3\u5728\u4eca\u5929\uff0c\u8fd9\u4e2a\u516c\u5f0f\u7684\u4f18\u7f8e\u4e5f\u4f1a\u4ee4\u6211\u4eec\u8d5e\u53f9\u4e0d\u5df2\u3002\u5b83\u8868\u660e\u4ec5\u4ec5\u501f\u52a9\u6570\u5b572\uff0c\u901a\u8fc7\u4e00\u7cfb\u5217\u7684\u52a0\u3001\u4e58\u3001\u9664\u548c\u5f00\u5e73\u65b9\u5c31\u53ef\u7b97\u51fa \u03c0 \u503c\u3002

\u63a5\u7740\u6709\u591a\u79cd\u8868\u8fbe\u5f0f\u51fa\u73b0\u3002\u5982\u6c83\u5229\u65af1650\u5e74\u7ed9\u51fa\uff1a


1706\u5e74\uff0c\u6885\u94a6\u5efa\u7acb\u4e86\u4e00\u4e2a\u91cd\u8981\u7684\u516c\u5f0f\uff0c\u73b0\u4ee5\u4ed6\u7684\u540d\u5b57\u547d\u540d\uff1a


\u518d\u5229\u7528\u5206\u6790\u4e2d\u7684\u7ea7\u6570\u5c55\u5f00\uff0c\u4ed6\u7b97\u5230\u5c0f\u6570\u540e100\u4f4d\u3002

\u8fd9\u6837\u7684\u65b9\u6cd5\u8fdc\u6bd4\u53ef\u601c\u7684\u9c81\u9053\u592b\u7528\u5927\u534a\u751f\u65f6\u95f4\u624d\u62a0\u51fa\u768435\u4f4d\u5c0f\u6570\u7684\u65b9\u6cd5\u7b80\u4fbf\u5f97\u591a\u3002\u663e\u7136\uff0c\u7ea7\u6570\u65b9\u6cd5\u5ba3\u544a\u4e86\u53e4\u5178\u65b9\u6cd5\u7684\u8fc7\u65f6\u3002\u6b64\u540e\uff0c\u5bf9\u4e8e\u5706\u5468\u7387\u7684\u8ba1\u7b97\u50cf\u9a6c\u62c9\u677e\u5f0f\u7ade\u8d5b\uff0c\u7eaa\u5f55\u4e00\u4e2a\u63a5\u7740\u4e00\u4e2a\uff1a

1844\u5e74\uff0c\u8fbe\u585e\u5229\u7528\u516c\u5f0f\uff1a


\u7b97\u5230200\u4f4d\u3002

19\u4e16\u7eaa\u4ee5\u540e\uff0c\u7c7b\u4f3c\u7684\u516c\u5f0f\u4e0d\u65ad\u6d8c\u73b0\uff0c \u03c0 \u7684\u4f4d\u6570\u4e5f\u8fc5\u901f\u589e\u957f\u30021873\u5e74\uff0c\u8c22\u514b\u65af\u5229\u7528\u6885\u94a6\u7684\u4e00\u7cfb\u5217\u65b9\u6cd5\uff0c\u7ea7\u6570\u516c\u5f0f\u5c06 \u03c0 \u7b97\u5230\u5c0f\u6570\u540e707\u4f4d\u3002\u4e3a\u4e86\u5f97\u5230\u8fd9\u9879\u7a7a\u524d\u7684\u7eaa\u5f55\uff0c\u4ed6\u82b1\u8d39\u4e86\u4e8c\u5341\u5e74\u7684\u65f6\u95f4\u3002\u4ed6\u6b7b\u540e\uff0c\u4eba\u4eec\u5c06\u8fd9\u51dd\u805a\u7740\u4ed6\u6bd5\u751f\u5fc3\u8840\u7684\u6570\u503c\uff0c\u94ed\u523b\u5728\u4ed6\u7684\u5893\u7891\u4e0a\uff0c\u4ee5\u9882\u626c\u4ed6\u987d\u5f3a\u7684\u610f\u5fd7\u548c\u575a\u97e7\u4e0d\u62d4\u7684\u6bc5\u529b\u3002\u4e8e\u662f\u5728\u4ed6\u7684\u5893\u7891\u4e0a\u7559\u4e0b\u4e86\u4ed6\u4e00\u751f\u5fc3\u8840\u7684\u7ed3\u6676\uff1a \u03c0 \u7684\u5c0f\u6570\u70b9\u540e707\u4f4d\u6570\u503c\u3002\u8fd9\u4e00\u60ca\u4eba\u7684\u7ed3\u679c\u6210\u4e3a\u6b64\u540e74\u5e74\u7684\u6807\u51c6\u3002\u6b64\u540e\u534a\u4e2a\u4e16\u7eaa\uff0c\u4eba\u4eec\u5bf9\u4ed6\u7684\u8ba1\u7b97\u7ed3\u679c\u6df1\u4fe1\u4e0d\u7591\uff0c\u6216\u8005\u8bf4\u5373\u4fbf\u6000\u7591\u4e5f\u6ca1\u6709\u529e\u6cd5\u6765\u68c0\u67e5\u5b83\u662f\u5426\u6b63\u786e\u3002\u4ee5\u81f4\u4e8e\u57281937\u5e74\u5df4\u9ece\u535a\u89c8\u4f1a\u53d1\u73b0\u9986\u7684\u5929\u4e95\u91cc\uff0c\u4f9d\u7136\u663e\u8d6b\u5730\u523b\u7740\u4ed6\u6c42\u51fa\u7684 \u03c0 \u503c\u3002

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\u5982\u679c\u7ee7\u7eed\u7b97\u4e0b\u53bb\uff0c\u770b\u6765\u5404\u79cd\u7c7b\u578b\u7684\u6570\u5b57\u5217\u7ec4\u5408\u53ef\u80fd\u90fd\u4f1a\u51fa\u73b0\u3002




\u62fe\u96f6\uff1a \u03c0 \u7684\u5176\u5b83\u8ba1\u7b97\u65b9\u6cd5


\u57281777\u5e74\u51fa\u7248\u7684\u300a\u6216\u7136\u6027\u7b97\u672f\u5b9e\u9a8c\u300b\u4e00\u4e66\u4e2d\uff0c\u84b2\u4e30\u63d0\u51fa\u4e86\u7528\u5b9e\u9a8c\u65b9\u6cd5\u8ba1\u7b97 \u03c0 \u3002\u8fd9\u4e2a\u5b9e\u9a8c\u65b9\u6cd5\u7684\u64cd\u4f5c\u5f88\u7b80\u5355\uff1a\u627e\u4e00\u6839\u7c97\u7ec6\u5747\u5300\uff0c\u957f\u5ea6\u4e3a d \u7684\u7ec6\u9488\uff0c\u5e76\u5728\u4e00\u5f20\u767d\u7eb8\u4e0a\u753b\u4e0a\u4e00\u7ec4\u95f4\u8ddd\u4e3a l \u7684\u5e73\u884c\u7ebf\uff08\u65b9\u4fbf\u8d77\u89c1\uff0c\u5e38\u53d6 l = d/2\uff09\uff0c\u7136\u540e\u4e00\u6b21\u53c8\u4e00\u6b21\u5730\u5c06\u5c0f\u9488\u4efb\u610f\u6295\u63b7\u5728\u767d\u7eb8\u4e0a\u3002\u8fd9\u6837\u53cd\u590d\u5730\u6295\u591a\u6b21\uff0c\u6570\u6570\u9488\u4e0e\u4efb\u610f\u5e73\u884c\u7ebf\u76f8\u4ea4\u7684\u6b21\u6570\uff0c\u4e8e\u662f\u5c31\u53ef\u4ee5\u5f97\u5230 \u03c0 \u7684\u8fd1\u4f3c\u503c\u3002\u56e0\u4e3a\u84b2\u4e30\u672c\u4eba\u8bc1\u660e\u4e86\u9488\u4e0e\u4efb\u610f\u5e73\u884c\u7ebf\u76f8\u4ea4\u7684\u6982\u7387\u4e3a p = 2l/\u03c0d \u3002\u5229\u7528\u8fd9\u4e00\u516c\u5f0f\uff0c\u53ef\u4ee5\u7528\u6982\u7387\u65b9\u6cd5\u5f97\u5230\u5706\u5468\u7387\u7684\u8fd1\u4f3c\u503c\u3002\u5728\u4e00\u6b21\u5b9e\u9a8c\u4e2d\uff0c\u4ed6\u9009\u53d6 l = d/2 \uff0c\u7136\u540e\u6295\u94882212\u6b21\uff0c\u5176\u4e2d\u9488\u4e0e\u5e73\u884c\u7ebf\u76f8\u4ea4704\u6b21\uff0c\u8fd9\u6837\u6c42\u5f97\u5706\u5468\u7387\u7684\u8fd1\u4f3c\u503c\u4e3a 2212/704 = 3.142\u3002\u5f53\u5b9e\u9a8c\u4e2d\u6295\u7684\u6b21\u6570\u76f8\u5f53\u591a\u65f6\uff0c\u5c31\u53ef\u4ee5\u5f97\u5230 \u03c0 \u7684\u66f4\u7cbe\u786e\u7684\u503c\u3002

1850\u5e74\uff0c\u4e00\u4f4d\u53eb\u6c83\u5c14\u592b\u7684\u4eba\u5728\u6295\u63b75000\u591a\u6b21\u540e\uff0c\u5f97\u5230 \u03c0 \u7684\u8fd1\u4f3c\u503c\u4e3a3.1596\u3002\u76ee\u524d\u5ba3\u79f0\u7528\u8fd9\u79cd\u65b9\u6cd5\u5f97\u5230\u6700\u597d\u7ed3\u679c\u7684\u662f\u610f\u5927\u5229\u4eba\u62c9\u5179\u745e\u5c3c\u3002\u57281901\u5e74\uff0c\u4ed6\u91cd\u590d\u8fd9\u9879\u5b9e\u9a8c\uff0c\u4f5c\u4e863408\u6b21\u6295\u9488\uff0c\u6c42\u5f97 \u03c0 \u7684\u8fd1\u4f3c\u503c\u4e3a3.1415929\uff0c\u8fd9\u4e2a\u7ed3\u679c\u662f\u5982\u6b64\u51c6\u786e\uff0c\u4ee5\u81f4\u4e8e\u5f88\u591a\u4eba\u6000\u7591\u5176\u5b9e\u9a8c\u7684\u771f\u4f2a\u3002\u5982\u7f8e\u56fd\u72b9\u4ed6\u5dde\u5965\u683c\u767b\u7684\u56fd\u7acb\u97e6\u4f2f\u5927\u5b66\u7684L\u00b7\u5df4\u6770\u5c31\u5bf9\u6b64\u63d0\u51fa\u8fc7\u6709\u529b\u7684\u8d28\u7591\u3002

\u4e0d\u8fc7\uff0c\u84b2\u4e30\u5b9e\u9a8c\u7684\u91cd\u8981\u6027\u5e76\u975e\u662f\u4e3a\u4e86\u6c42\u5f97\u6bd4\u5176\u5b83\u65b9\u6cd5\u66f4\u7cbe\u786e\u7684 \u03c0 \u503c\u3002\u84b2\u4e30\u6295\u9488\u95ee\u9898\u7684\u91cd\u8981\u6027\u5728\u4e8e\u5b83\u662f\u7b2c\u4e00\u4e2a\u7528\u51e0\u4f55\u5f62\u5f0f\u8868\u8fbe\u6982\u7387\u95ee\u9898\u7684\u4f8b\u5b50\u3002\u8ba1\u7b97 \u03c0 \u7684\u8fd9\u4e00\u65b9\u6cd5\uff0c\u4e0d\u4f46\u56e0\u5176\u65b0\u9896\uff0c\u5947\u5999\u800c\u8ba9\u4eba\u53eb\u7edd\uff0c\u800c\u4e14\u5b83\u5f00\u521b\u4e86\u4f7f\u7528\u968f\u673a\u6570\u5904\u7406\u786e\u5b9a\u6027\u6570\u5b66\u95ee\u9898\u7684\u5148\u6cb3\uff0c\u662f\u7528\u5076\u7136\u6027\u65b9\u6cd5\u53bb\u89e3\u51b3\u786e\u5b9a\u6027\u8ba1\u7b97\u7684\u524d\u5bfc\u3002

\u5728\u7528\u6982\u7387\u65b9\u6cd5\u8ba1\u7b97 \u03c0 \u503c\u4e2d\u8fd8\u8981\u63d0\u5230\u7684\u662f\uff1aR\u00b7\u67e5\u7279\u57281904\u5e74\u53d1\u73b0\uff0c\u4e24\u4e2a\u968f\u610f\u5199\u51fa\u7684\u6570\u4e2d\uff0c\u4e92\u7d20\u7684\u6982\u7387\u4e3a6\uff0f\u03c02\u30021995\u5e744\u6708\u82f1\u56fd\u300a\u81ea\u7136\u300b\u6742\u5fd7\u520a\u767b\u6587\u7ae0\uff0c\u4ecb\u7ecd\u82f1\u56fd\u4f2f\u660e\u7ff0\u5e02\u963f\u65af\u987f\u5927\u5b66\u8ba1\u7b97\u673a\u79d1\u5b66\u4e0e\u5e94\u7528\u6570\u5b66\u7cfb\u7684\u7f57\u4f2f\u7279\u00b7\u9a6c\u4fee\u65af\uff0c\u5982\u4f55\u5229\u7528\u591c\u7a7a\u4e2d\u4eae\u661f\u7684\u5206\u5e03\u6765\u8ba1\u7b97\u5706\u5468\u7387\u3002\u9a6c\u4fee\u65af\u4ece100\u9897\u6700\u4eae\u7684\u661f\u661f\u4e2d\u968f\u610f\u9009\u53d6\u4e00\u5bf9\u53c8\u4e00\u5bf9\u8fdb\u884c\u5206\u6790\uff0c\u8ba1\u7b97\u5b83\u4eec\u4f4d\u7f6e\u4e4b\u95f4\u7684\u89d2\u8ddd\u3002\u4ed6\u68c0\u67e5\u4e86100\u4e07\u5bf9\u56e0\u5b50\uff0c\u636e\u6b64\u6c42\u5f97 \u03c0 \u7684\u503c\u7ea6\u4e3a3.12772\u3002\u8fd9\u4e2a\u503c\u4e0e\u771f\u503c\u76f8\u5bf9\u8bef\u5dee\u4e0d\u8d85\u8fc75\uff05\u3002


\u901a\u8fc7\u51e0\u4f55\u3001\u5fae\u79ef\u5206\u3001\u6982\u7387\u7b49\u5e7f\u6cdb\u7684\u8303\u56f4\u548c\u6e20\u9053\u53d1\u73b0 \u03c0 \uff0c\u8fd9\u5145\u5206\u663e\u793a\u4e86\u6570\u5b66\u65b9\u6cd5\u7684\u5947\u5f02\u7f8e\u3002 \u03c0 \u7adf\u7136\u4e0e\u8fd9\u4e48\u4e9b\u8868\u9762\u770b\u6765\u98ce\u9a6c\u725b\u4e0d\u76f8\u53ca\u7684\u8bd5\u9a8c\uff0c\u6c9f\u901a\u5728\u4e00\u8d77\uff0c\u8fd9\u7684\u786e\u4f7f\u4eba\u60ca\u8bb6\u4e0d\u5df2\u3002

\u03c0=3.
1415926535 8979323846 2643383279 5028841971 6939937510 : 1
5820974944 5923078164 0628620899 8628034825 3421170679 : 2
8214808651 3282306647 0938446095 5058223172 5359408128 : 3
4811174502 8410270193 8521105559 6446229489 5493038196 : 4
4428810975 6659334461 2847564823 3786783165 2712019091 : 5
4564856692 3460348610 4543266482 1339360726 0249141273 : 6
7245870066 0631558817 4881520920 9628292540 9171536436 : 7
7892590360 0113305305 4882046652 1384146951 9415116094 : 8
3305727036 5759591953 0921861173 8193261179 3105118548 : 9
0744623799 6274956735 1885752724 8912279381 8301194912 : 10

9833673362 4406566430 8602139494 6395224737 1907021798 : 11
6094370277 0539217176 2931767523 8467481846 7669405132 : 12
0005681271 4526356082 7785771342 7577896091 7363717872 : 13
1468440901 2249534301 4654958537 1050792279 6892589235 : 14
4201995611 2129021960 8640344181 5981362977 4771309960 : 15
5187072113 4999999837 2978049951 0597317328 1609631859 : 16
5024459455 3469083026 4252230825 3344685035 2619311881 : 17
7101000313 7838752886 5875332083 8142061717 7669147303 : 18
5982534904 2875546873 1159562863 8823537875 9375195778 : 19
1857780532 1712268066 1300192787 6611195909 2164201989 : 20

3809525720 1065485863 2788659361 5338182796 8230301952 : 21
0353018529 6899577362 2599413891 2497217752 8347913151 : 22
5574857242 4541506959 5082953311 6861727855 8890750983 : 23
8175463746 4939319255 0604009277 0167113900 9848824012 : 24
8583616035 6370766010 4710181942 9555961989 4676783744 : 25
9448255379 7747268471 0404753464 6208046684 2590694912 : 26
9331367702 8989152104 7521620569 6602405803 8150193511 : 27
2533824300 3558764024 7496473263 9141992726 0426992279 : 28
6782354781 6360093417 2164121992 4586315030 2861829745 : 29
5570674983 8505494588 5869269956 9092721079 7509302955 : 30

3211653449 8720275596 0236480665 4991198818 3479775356 : 31
6369807426 5425278625 5181841757 4672890977 7727938000 : 32
8164706001 6145249192 1732172147 7235014144 1973568548 : 33
1613611573 5255213347 5741849468 4385233239 0739414333 : 34
4547762416 8625189835 6948556209 9219222184 2725502542 : 35
5688767179 0494601653 4668049886 2723279178 6085784383 : 36
8279679766 8145410095 3883786360 9506800642 2512520511 : 37
7392984896 0841284886 2694560424 1965285022 2106611863 : 38
0674427862 2039194945 0471237137 8696095636 4371917287 : 39
4677646575 7396241389 0865832645 9958133904 7802759009 : 40

9465764078 9512694683 9835259570 9825822620 5224894077 : 41
2671947826 8482601476 9909026401 3639443745 5305068203 : 42
4962524517 4939965143 1429809190 6592509372 2169646151 : 43
5709858387 4105978859 5977297549 8930161753 9284681382 : 44
6868386894 2774155991 8559252459 5395943104 9972524680 : 45
8459872736 4469584865 3836736222 6260991246 0805124388 : 46
4390451244 1365497627 8079771569 1435997700 1296160894 : 47
4169486855 5848406353 4220722258 2848864815 8456028506 : 48
0168427394 5226746767 8895252138 5225499546 6672782398 : 49
6456596116 3548862305 7745649803 5593634568 1743241125 : 50

1507606947 9451096596 0940252288 7971089314 5669136867 : 51
2287489405 6010150330 8617928680 9208747609 1782493858 : 52
9009714909 6759852613 6554978189 3129784821 6829989487 : 53
2265880485 7564014270 4775551323 7964145152 3746234364 : 54
5428584447 9526586782 1051141354 7357395231 1342716610 : 55
2135969536 2314429524 8493718711 0145765403 5902799344 : 56
0374200731 0578539062 1983874478 0847848968 3321445713 : 57
8687519435 0643021845 3191048481 0053706146 8067491927 : 58
8191197939 9520614196 6342875444 0643745123 7181921799 : 59
9839101591 9561814675 1426912397 4894090718 6494231961 : 60

5679452080 9514655022 5231603881 9301420937 6213785595 : 61
6638937787 0830390697 9207734672 2182562599 6615014215 : 62
0306803844 7734549202 6054146659 2520149744 2850732518 : 63
6660021324 3408819071 0486331734 6496514539 0579626856 : 64
1005508106 6587969981 6357473638 4052571459 1028970641 : 65
4011097120 6280439039 7595156771 5770042033 7869936007 : 66
2305587631 7635942187 3125147120 5329281918 2618612586 : 67
7321579198 4148488291 6447060957 5270695722 0917567116 : 68
7229109816 9091528017 3506712748 5832228718 3520935396 : 69
5725121083 5791513698 8209144421 0067510334 6711031412 : 70

6711136990 8658516398 3150197016 5151168517 1437657618 : 71
3515565088 4909989859 9823873455 2833163550 7647918535 : 72
8932261854 8963213293 3089857064 2046752590 7091548141 : 73
6549859461 6371802709 8199430992 4488957571 2828905923 : 74
2332609729 9712084433 5732654893 8239119325 9746366730 : 75
5836041428 1388303203 8249037589 8524374417 0291327656 : 76
1809377344 4030707469 2112019130 2033038019 7621101100 : 77
4492932151 6084244485 9637669838 9522868478 3123552658 : 78
2131449576 8572624334 4189303968 6426243410 7732269780 : 79
2807318915 4411010446 8232527162 0105265227 2111660396 : 80

6655730925 4711055785 3763466820 6531098965 2691862056 : 81
4769312570 5863566201 8558100729 3606598764 8611791045 : 82
3348850346 1136576867 5324944166 8039626579 7877185560 : 83
8455296541 2665408530 6143444318 5867697514 5661406800 : 84
7002378776 5913440171 2749470420 5622305389 9456131407 : 85
1127000407 8547332699 3908145466 4645880797 2708266830 : 86
6343285878 5698305235 8089330657 5740679545 7163775254 : 87
2021149557 6158140025 0126228594 1302164715 5097925923 : 88
0990796547 3761255176 5675135751 7829666454 7791745011 : 89
2996148903 0463994713 2962107340 4375189573 5961458901 : 90

9389713111 7904297828 5647503203 1986915140 2870808599 : 91
0480109412 1472213179 4764777262 2414254854 5403321571 : 92
8530614228 8137585043 0633217518 2979866223 7172159160 : 93
7716692547 4873898665 4949450114 6540628433 6639379003 : 94
9769265672 1463853067 3609657120 9180763832 7166416274 : 95
8888007869 2560290228 4721040317 2118608204 1900042296 : 96
6171196377 9213375751 1495950156 6049631862 9472654736 : 97
4252308177 0367515906 7350235072 8354056704 0386743513 : 98
6222247715 8915049530 9844489333 0963408780 7693259939 : 99
7805419341 4473774418 4263129860 8099888687 4132604721 : 100




\u524d2600\u4f4d\u5706\u5468\u7387\u3002
3.141592653589793238462643383279502884197169399375105820974944 59230781640628620899 86280 34825 34211 7067982148 08651 32823 06647 09384 46095 50582 23172 53594 08128 48111 74502 84102 70193 85211 05559 64462 29489 54930 3819644288 10975 66593 34461 28475 64823 37867 83165 27120 19091 45648 56692 34603 48610 45432 66482 13393 60726 02491 4127372458 70066 06315 58817 48815 20920 96282 92540 91715 36436 78925 90360 01133 05305 48820 46652 13841 46951 94151 16094 33057 27036 57595 91953 09218 61173 81932 61179 31051 18548 07446 23799 62749 56735 18857 52724 89122 79381 83011 9491298336 73362 44065 66430 86021 39494 63952 24737 19070 21798 60943 70277 05392 17176 29317 67523 84674 81846 76694 0513200056 81271 45263 56082 77857 71342 75778 96091 73637 17872 14684 40901 22495 34301 46549 58537 10507 92279 68925 89235 42019 95611 21290 21960 86403 44181 59813 62977 47713 09960 51870 72113 49999 99837 29780 49951 05973 17328 16096 31859 50244 59455 34690 83026 42522 30825 33446 85035 26193 11881 71010 00313 78387 52886 58753 32083 81420 61717 76691 47303 59825 34904 28755 46873 11595 62863 88235 37875 93751 95778 18577 80532 17122 68066 13001 92787 66111 95909 21642 01989 38095 25720 10654 85863 27886 59361 53381 82796 82303 01952 03530 18529 68995 77362 25994 13891 24972 17752 83479 13151 55748 57242 45415 06959 50829 53311 68617 27855 88907 50983 81754 63746 49393 19255 06040 09277 01671 13900 98488 24012 85836 16035 63707 66010 47101 81942 95559 61989 46767 83744 94482 55379 77472 68471 04047 53464 62080 46684 25906 94912 93313 67702 89891 52104 75216 20569 66024 05803 81501 93511 25338 24300 35587 64024 74964 73263 91419 92726 04269 92279 67823 54781 63600 93417 21641 21992 45863 15030 28618 29745 55706 74983 85054 94588 58692 69956 90927 21079 75093 02955 32116 53449 87202 75596 02364 80665 49911 98818 34797 75356 63698 07426 54252 78625 51818 41757 46728 90977 77279 38000 81647 06001 61452 49192 17321 72147 72350 14144 19735 68548 16136 11573 52552 13347 57418 49468 43852 33239 07394 14333 45477 62416 86251 89835 69485 56209 92192 22184 27255 02542 56887 67179 04946 01653 46680 49886 27232 79178 60857 84383 82796 79766 81454 10095 38837 86360 95068 00642 25125 20511 73929 84896 08412 84886 26945 60424 19652 85022 21066 11863 06744 27862 20391 94945 04712 37137 86960 95636 43719 17287 46776 46575 73962 41389 08658 32645 99581 33904 78027 59009 94657 64078 95126 94683 98352 59570 98258 22620 52248 94077 26719 47826 84826 01476 99090 26401 36394 43745 53050 68203 49625 24517 49399 65143 14298 09190 65925 09372 21696 46151 57098 58387 41059 78859 59772 97549 89301 61753 92846 81382 68683 86894 27741 55991 85592 52459 53959 43104 99725 24680 84598 72736 44695 84865 38367 36222 62609 91246 08051 24388 43904 51244 13654 97627 80797 71569 14359 97700 12961 60894 41694 86855 58484 06353 42207 22258 28488 64815 84560 28506 01684 27394 52267 46767 88952 52138 52254 99546 66727 82398 64565 96116 35488 62305 77456 49803 55936 34568 17432 41125 15076 06947 94510 96596 09402 52288 79710 89314 56691 36867 22874 89405 60101 50330 86179 28680 92087 47609 17824 93858
3.141592653589793238462643383279502884197169399375105820974944 59230781640628620899 86280 34825 34211 7067982148 08651 32823 06647 09384 46095 50582 23172 53594 08128 48111 74502 84102 70193 85211 05559 64462 29489 54930 3819644288 10975 66593 34461 28475 64823 37867 83165 27120 19091 45648 56692 34603 48610 45432 66482 13393 60726 02491 4127372458 70066 06315 58817 48815 20920 96282 92540 91715 36436 78925 90360 01133 05305 48820 46652 13841 46951 94151 16094 33057 27036 57595 91953 09218 61173 81932 61179 31051 18548 07446 23799 62749 56735 18857 52724 89122 79381 83011 9491298336 73362 44065 66430 86021 39494 63952 24737 19070 21798 60943 70277 05392 17176 29317 67523 84674 81846 76694 0513200056 81271 45263 56082 77857 71342 75778 96091 73637 17872 14684 40901 22495 34301 46549 58537 10507 92279 68925 89235 42019 95611 21290 21960 86403 44181 59813 62977 47713 09960 51870 72113 49999 99837 29780 49951 05973 17328 16096 31859 50244 59455 34690 83026 42522 30825 33446 85035 26193 11881 71010 00313 78387 52886 58753 32083 81420 61717 76691 47303 59825 34904 28755 46873 11595 62863 88235 37875 93751 95778 18577 80532 17122 68066 13001 92787 66111 95909 21642 01989 38095 25720 10654 85863 27886 59361 53381 82796 82303 01952 03530 18529 68995 77362 25994 13891 24972 17752 83479 13151 55748 57242 45415 06959 50829 53311 68617 27855 88907 50983 81754 63746 49393 19255 06040 09277 01671 13900 98488 24012 85836 16035 63707 66010 47101 81942 95559 61989 46767 83744 94482 55379 77472 68471 04047 53464 62080 46684 25906 94912 93313 67702 89891 52104 75216 20569 66024 05803 81501 93511 25338 24300 35587 64024 74964 73263 91419 92726 04269 92279 67823 54781 63600 93417 21641 21992 45863 15030 28618 29745 55706 74983 85054 94588 58692 69956 90927 21079 75093 02955 32116 53449 87202 75596 02364 80665 49911 98818 34797 75356 63698 07426 54252 78625 51818 41757 46728 90977 77279 38000 81647 06001 61452 49192 17321 72147 72350 14144 19735 68548 16136 11573 52552 13347 57418 49468 43852 33239 07394 14333 45477 62416 86251 89835 69485 56209 92192 22184 27255 02542 56887 67179 04946 01653 46680 49886 27232 79178 60857 84383 82796 79766 81454 10095 38837 86360 95068 00642 25125 20511 73929 84896 08412 84886 26945 60424 19652 85022 21066 11863 06744 27862 20391 94945 04712 37137 86960 95636 43719 17287 46776 46575 73962 41389 08658 32645 99581 33904 78027 59009 94657 64078 95126 94683 98352 59570 98258 22620 52248 94077 26719 47826 84826 01476 99090 26401 36394 43745 53050 68203 49625 24517 49399 65143 14298 09190 65925 09372 21696 46151 57098 58387 41059 78859 59772 97549 89301 61753 92846 81382 68683 86894 27741 55991 85592 52459 53959 43104 99725 24680 84598 72736 44695 84865 38367 36222 62609 91246 08051 24388 43904 51244 13654 97627 80797 71569 14359 97700 12961 60894 41694 86855 58484 06353 42207 22258 28488 64815 84560 28506 01684 27394 52267 46767 88952 52138 52254 99546 66727 82398 64565 96116 35488 62305 77456 49803 55936 34568 17432 41125 15076 06947 94510 96596 09402 52288 79710 89314 56691 36867 22874 89405 60101 50330 86179 28680 92087 47609 17824 93858


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π=3.
1415926535 8979323846 2643383279 5028841971 6939937510 : 1
5820974944 5923078164 0628620899 8628034825 3421170679 : 2
8214808651 3282306647 0938446095 5058223172 5359408128 : 3
4811174502 8410270193 8521105559 6446229489 5493038196 : 4
4428810975 6659334461 2847564823 3786783165 2712019091 : 5
4564856692 3460348610 4543266482 1339360726 0249141273 : 6
7245870066 0631558817 4881520920 9628292540 9171536436 : 7
7892590360 0113305305 4882046652 1384146951 9415116094 : 8
3305727036 5759591953 0921861173 8193261179 3105118548 : 9
0744623799 6274956735 1885752724 8912279381 8301194912 : 10

9833673362 4406566430 8602139494 6395224737 1907021798 : 11
6094370277 0539217176 2931767523 8467481846 7669405132 : 12
0005681271 4526356082 7785771342 7577896091 7363717872 : 13
1468440901 2249534301 4654958537 1050792279 6892589235 : 14
4201995611 2129021960 8640344181 5981362977 4771309960 : 15
5187072113 4999999837 2978049951 0597317328 1609631859 : 16
5024459455 3469083026 4252230825 3344685035 2619311881 : 17
7101000313 7838752886 5875332083 8142061717 7669147303 : 18
5982534904 2875546873 1159562863 8823537875 9375195778 : 19
1857780532 1712268066 1300192787 6611195909 2164201989 : 20

3809525720 1065485863 2788659361 5338182796 8230301952 : 21
0353018529 6899577362 2599413891 2497217752 8347913151 : 22
5574857242 4541506959 5082953311 6861727855 8890750983 : 23
8175463746 4939319255 0604009277 0167113900 9848824012 : 24
8583616035 6370766010 4710181942 9555961989 4676783744 : 25
9448255379 7747268471 0404753464 6208046684 2590694912 : 26
9331367702 8989152104 7521620569 6602405803 8150193511 : 27
2533824300 3558764024 7496473263 9141992726 0426992279 : 28
6782354781 6360093417 2164121992 4586315030 2861829745 : 29
5570674983 8505494588 5869269956 9092721079 7509302955 : 30

3211653449 8720275596 0236480665 4991198818 3479775356 : 31
6369807426 5425278625 5181841757 4672890977 7727938000 : 32
8164706001 6145249192 1732172147 7235014144 1973568548 : 33
1613611573 5255213347 5741849468 4385233239 0739414333 : 34
4547762416 8625189835 6948556209 9219222184 2725502542 : 35
5688767179 0494601653 4668049886 2723279178 6085784383 : 36
8279679766 8145410095 3883786360 9506800642 2512520511 : 37
7392984896 0841284886 2694560424 1965285022 2106611863 : 38
0674427862 2039194945 0471237137 8696095636 4371917287 : 39
4677646575 7396241389 0865832645 9958133904 7802759009 : 40

9465764078 9512694683 9835259570 9825822620 5224894077 : 41
2671947826 8482601476 9909026401 3639443745 5305068203 : 42
4962524517 4939965143 1429809190 6592509372 2169646151 : 43
5709858387 4105978859 5977297549 8930161753 9284681382 : 44
6868386894 2774155991 8559252459 5395943104 9972524680 : 45
8459872736 4469584865 3836736222 6260991246 0805124388 : 46
4390451244 1365497627 8079771569 1435997700 1296160894 : 47
4169486855 5848406353 4220722258 2848864815 8456028506 : 48
0168427394 5226746767 8895252138 5225499546 6672782398 : 49
6456596116 3548862305 7745649803 5593634568 1743241125 : 50

1507606947 9451096596 0940252288 7971089314 5669136867 : 51
2287489405 6010150330 8617928680 9208747609 1782493858 : 52
9009714909 6759852613 6554978189 3129784821 6829989487 : 53
2265880485 7564014270 4775551323 7964145152 3746234364 : 54
5428584447 9526586782 1051141354 7357395231 1342716610 : 55
2135969536 2314429524 8493718711 0145765403 5902799344 : 56
0374200731 0578539062 1983874478 0847848968 3321445713 : 57
8687519435 0643021845 3191048481 0053706146 8067491927 : 58
8191197939 9520614196 6342875444 0643745123 7181921799 : 59
9839101591 9561814675 1426912397 4894090718 6494231961 : 60

5679452080 9514655022 5231603881 9301420937 6213785595 : 61
6638937787 0830390697 9207734672 2182562599 6615014215 : 62
0306803844 7734549202 6054146659 2520149744 2850732518 : 63
6660021324 3408819071 0486331734 6496514539 0579626856 : 64
1005508106 6587969981 6357473638 4052571459 1028970641 : 65
4011097120 6280439039 7595156771 5770042033 7869936007 : 66
2305587631 7635942187 3125147120 5329281918 2618612586 : 67
7321579198 4148488291 6447060957 5270695722 0917567116 : 68
7229109816 9091528017 3506712748 5832228718 3520935396 : 69
5725121083 5791513698 8209144421 0067510334 6711031412 : 70

6711136990 8658516398 3150197016 5151168517 1437657618 : 71
3515565088 4909989859 9823873455 2833163550 7647918535 : 72
8932261854 8963213293 3089857064 2046752590 7091548141 : 73
6549859461 6371802709 8199430992 4488957571 2828905923 : 74
2332609729 9712084433 5732654893 8239119325 9746366730 : 75
5836041428 1388303203 8249037589 8524374417 0291327656 : 76
1809377344 4030707469 2112019130 2033038019 7621101100 : 77
4492932151 6084244485 9637669838 9522868478 3123552658 : 78
2131449576 8572624334 4189303968 6426243410 7732269780 : 79
2807318915 4411010446 8232527162 0105265227 2111660396 : 80

6655730925 4711055785 3763466820 6531098965 2691862056 : 81
4769312570 5863566201 8558100729 3606598764 8611791045 : 82
3348850346 1136576867 5324944166 8039626579 7877185560 : 83
8455296541 2665408530 6143444318 5867697514 5661406800 : 84
7002378776 5913440171 2749470420 5622305389 9456131407 : 85
1127000407 8547332699 3908145466 4645880797 2708266830 : 86
6343285878 5698305235 8089330657 5740679545 7163775254 : 87
2021149557 6158140025 0126228594 1302164715 5097925923 : 88
0990796547 3761255176 5675135751 7829666454 7791745011 : 89
2996148903 0463994713 2962107340 4375189573 5961458901 : 90

9389713111 7904297828 5647503203 1986915140 2870808599 : 91
0480109412 1472213179 4764777262 2414254854 5403321571 : 92
8530614228 8137585043 0633217518 2979866223 7172159160 : 93
7716692547 4873898665 4949450114 6540628433 6639379003 : 94
9769265672 1463853067 3609657120 9180763832 7166416274 : 95
8888007869 2560290228 4721040317 2118608204 1900042296 : 96
6171196377 9213375751 1495950156 6049631862 9472654736 : 97
4252308177 0367515906 7350235072 8354056704 0386743513 : 98
6222247715 8915049530 9844489333 0963408780 7693259939 : 99
7805419341 4473774418 4263129860 8099888687 4132604721 : 100

前2600位圆周率。
3.141592653589793238462643383279502884197169399375105820974944 59230781640628620899 86280 34825 34211 7067982148 08651 32823 06647 09384 46095 50582 23172 53594 08128 48111 74502 84102 70193 85211 05559 64462 29489 54930 3819644288 10975 66593 34461 28475 64823 37867 83165 27120 19091 45648 56692 34603 48610 45432 66482 13393 60726 02491 4127372458 70066 06315 58817 48815 20920 96282 92540 91715 36436 78925 90360 01133 05305 48820 46652 13841 46951 94151 16094 33057 27036 57595 91953 09218 61173 81932 61179 31051 18548 07446 23799 62749 56735 18857 52724 89122 79381 83011 9491298336 73362 44065 66430 86021 39494 63952 24737 19070 21798 60943 70277 05392 17176 29317 67523 84674 81846 76694 0513200056 81271 45263 56082 77857 71342 75778 96091 73637 17872 14684 40901 22495 34301 46549 58537 10507 92279 68925 89235 42019 95611 21290 21960 86403 44181 59813 62977 47713 09960 51870 72113 49999 99837 29780 49951 05973 17328 16096 31859 50244 59455 34690 83026 42522 30825 33446 85035 26193 11881 71010 00313 78387 52886 58753 32083 81420 61717 76691 47303 59825 34904 28755 46873 11595 62863 88235 37875 93751 95778 18577 80532 17122 68066 13001 92787 66111 95909 21642 01989 38095 25720 10654 85863 27886 59361 53381 82796 82303 01952 03530 18529 68995 77362 25994 13891 24972 17752 83479 13151 55748 57242 45415 06959 50829 53311 68617 27855 88907 50983 81754 63746 49393 19255 06040 09277 01671 13900 98488 24012 85836 16035 63707 66010 47101 81942 95559 61989 46767 83744 94482 55379 77472 68471 04047 53464 62080 46684 25906 94912 93313 67702 89891 52104 75216 20569 66024 05803 81501 93511 25338 24300 35587 64024 74964 73263 91419 92726 04269 92279 67823 54781 63600 93417 21641 21992 45863 15030 28618 29745 55706 74983 85054 94588 58692 69956 90927 21079 75093 02955 32116 53449 87202 75596 02364 80665 49911 98818 34797 75356 63698 07426 54252 78625 51818 41757 46728 90977 77279 38000 81647 06001 61452 49192 17321 72147 72350 14144 19735 68548 16136 11573 52552 13347 57418 49468 43852 33239 07394 14333 45477 62416 86251 89835 69485 56209 92192 22184 27255 02542 56887 67179 04946 01653 46680 49886 27232 79178 60857 84383 82796 79766 81454 10095 38837 86360 95068 00642 25125 20511 73929 84896 08412 84886 26945 60424 19652 85022 21066 11863 06744 27862 20391 94945 04712 37137 86960 95636 43719 17287 46776 46575 73962 41389 08658 32645 99581 33904 78027 59009 94657 64078 95126 94683 98352 59570 98258 22620 52248 94077 26719 47826 84826 01476 99090 26401 36394 43745 53050 68203 49625 24517 49399 65143 14298 09190 65925 09372 21696 46151 57098 58387 41059 78859 59772 97549 89301 61753 92846 81382 68683 86894 27741 55991 85592 52459 53959 43104 99725 24680 84598 72736 44695 84865 38367 36222 62609 91246 08051 24388 43904 51244 13654 97627 80797 71569 14359 97700 12961 60894 41694 86855 58484 06353 42207 22258 28488 64815 84560 28506 01684 27394 52267 46767 88952 52138 52254 99546 66727 82398 64565 96116 35488 62305 77456 49803 55936 34568 17432 41125 15076 06947 94510 96596 09402 52288 79710 89314 56691 36867 22874 89405 60101 50330 86179 28680 92087 47609 17824 93858
3.141592653589793238462643383279502884197169399375105820974944 59230781640628620899 86280 34825 34211 7067982148 08651 32823 06647 09384 46095 50582 23172 53594 08128 48111 74502 84102 70193 85211 05559 64462 29489 54930 3819644288 10975 66593 34461 28475 64823 37867 83165 27120 19091 45648 56692 34603 48610 45432 66482 13393 60726 02491 4127372458 70066 06315 58817 48815 20920 96282 92540 91715 36436 78925 90360 01133 05305 48820 46652 13841 46951 94151 16094 33057 27036 57595 91953 09218 61173 81932 61179 31051 18548 07446 23799 62749 56735 18857 52724 89122 79381 83011 9491298336 73362 44065 66430 86021 39494 63952 24737 19070 21798 60943 70277 05392 17176 29317 67523 84674 81846 76694 0513200056 81271 45263 56082 77857 71342 75778 96091 73637 17872 14684 40901 22495 34301 46549 58537 10507 92279 68925 89235 42019 95611 21290 21960 86403 44181 59813 62977 47713 09960 51870 72113 49999 99837 29780 49951 05973 17328 16096 31859 50244 59455 34690 83026 42522 30825 33446 85035 26193 11881 71010 00313 78387 52886 58753 32083 81420 61717 76691 47303 59825 34904 28755 46873 11595 62863 88235 37875 93751 95778 18577 80532 17122 68066 13001 92787 66111 95909 21642 01989 38095 25720 10654 85863 27886 59361 53381 82796 82303 01952 03530 18529 68995 77362 25994 13891 24972 17752 83479 13151 55748 57242 45415 06959 50829 53311 68617 27855 88907 50983 81754 63746 49393 19255 06040 09277 01671 13900 98488 24012 85836 16035 63707 66010 47101 81942 95559 61989 46767 83744 94482 55379 77472 68471 04047 53464 62080 46684 25906 94912 93313 67702 89891 52104 75216 20569 66024 05803 81501 93511 25338 24300 35587 64024 74964 73263 91419 92726 04269 92279 67823 54781 63600 93417 21641 21992 45863 15030 28618 29745 55706 74983 85054 94588 58692 69956 90927 21079 75093 02955 32116 53449 87202 75596 02364 80665 49911 98818 34797 75356 63698 07426 54252 78625 51818 41757 46728 90977 77279 38000 81647 06001 61452 49192 17321 72147 72350 14144 19735 68548 16136 11573 52552 13347 57418 49468 43852 33239 07394 14333 45477 62416 86251 89835 69485 56209 92192 22184 27255 02542 56887 67179 04946 01653 46680 49886 27232 79178 60857 84383 82796 79766 81454 10095 38837 86360 95068 00642 25125 20511 73929 84896 08412 84886 26945 60424 19652 85022 21066 11863 06744 27862 20391 94945 04712 37137 86960 95636 43719 17287 46776 46575 73962 41389 08658 32645 99581 33904 78027 59009 94657 64078 95126 94683 98352 59570 98258 22620 52248 94077 26719 47826 84826 01476 99090 26401 36394 43745 53050 68203 49625 24517 49399 65143 14298 09190 65925 09372 21696 46151 57098 58387 41059 78859 59772 97549 89301 61753 92846 81382 68683 86894 27741 55991 85592 52459 53959 43104 99725 24680 84598 72736 44695 84865 38367 36222 62609 91246 08051 24388 43904 51244 13654 97627 80797 71569 14359 97700 12961 60894 41694 86855 58484 06353 42207 22258 28488 64815 84560 28506 01684 27394 52267 46767 88952 52138 52254 99546 66727 82398 64565 96116 35488 62305 77456 49803 55936 34568 17432 41125 15076 06947 94510 96596 09402 52288 79710 89314 56691 36867 22874 89405 60101 50330 86179 28680 92087 47609 17824 93858

圆周率≈
3.141592653589793238462643383279502884197169399375105820974944 592307816406286208998628034825342117067982148086513282306647 093844609550582231725359408128481117450284102701938521105559 644622948954930381964428810975665933446128475648233786783165 271201909145648566923460348610454326648213393607260249141273 724587006606315588174881520920962829254091715364367892590360 011330530548820466521384146951941511609433057270365759591953 092186117381932611793105118548074462379962749567351885752724 891227938183011949129833673362440656643086021394946395224737 190702179860943702770539217176293176752384674818467669405132 000568127145263560827785771342757789609173637178721468440901 224953430146549585371050792279689258923542019956112129021960 864034418159813629774771309960518707211349999998372978049951 059731732816096318595024459455346908302642522308253344685035 261931188171010003137838752886587533208381420617177669147303 598253490428755468731159562863882353787593751957781857780532 171226806613001927876611195909216420198938095257201065485863 278865936153381827968230301952035301852968995773622599413891 249721775283479131515574857242454150695950829533116861727855 889075098381754637464939319255060400927701671139009848824012 858361603563707660104710181942955596198946767837449448255379 774726847104047534646208046684259069491293313677028989152104 752162056966024058038150193511253382430035587640247496473263 914199272604269922796782354781636009341721641219924586315030 286182974555706749838505494588586926995690927210797509302955 321165344987202755960236480665499119881834797753566369807426 542527862551818417574672890977772793800081647060016145249192 173217214772350141441973568548161361157352552133475741849468 438523323907394143334547762416862518983569485562099219222184 272550254256887671790494601653466804988627232791786085784383 827967976681454100953883786360950680064225125205117392984896 084128488626945604241965285022210661186306744278622039194945 047123713786960956364371917287467764657573962413890865832645 995813390478027590099465764078951269468398352595709825822620 522489407726719478268482601476990902640136394437455305068203 496252451749399651431429809190659250937221696461515709858387 410597885959772975498930161753928468138268683868942774155991 855925245953959431049972524680845987273644695848653836736222 626099124608051243884390451244136549762780797715691435997700 129616089441694868555848406353422072225828488648158456028506 016842739452267467678895252138522549954666727823986456596116 354886230577456498035593634568174324112515076069479451096596 094025228879710893145669136867228748940560101503308617928680 920874760917824938589009714909675985261365549781893129784821 682998948722658804857564014270477555132379641451523746234364 542858444795265867821051141354735739523113427166102135969536 231442952484937187110145765403590279934403742007310578539062 198387447808478489683321445713868751943506430218453191048481 005370614680674919278191197939952061419663428754440643745123 718192179998391015919561814675142691239748940907186494231961 567945208095146550225231603881930142093762137855956638937787 083039069792077346722182562599661501421503068038447734549202 605414665925201497442850732518666002132434088190710486331734 649651453905796268561005508106658796998163574736384052571459 102897064140110971206280439039759515677157700420337869936007 230558763176359421873125147120532928191826186125867321579198 414848829164470609575270695722091756711672291098169091528017 350671274858322287183520935396572512108357915136988209144421 006751033467110314126711136990865851639831501970165151168517 143765761835155650884909989859982387345528331635507647918535 893226185489632132933089857064204675259070915481416549859461 637180270981994309924488957571282890592323326097299712084433 573265489382391193259746366730583604142813883032038249037589 852437441702913276561809377344403070746921120191302033038019 762110110044929321516084244485963766983895228684783123552658 213144957685726243344189303968642624341077322697802807318915 441101044682325271620105265227211166039666557309254711055785 376346682065310989652691862056476931257058635662018558100729 360659876486117910453348850346113657686753249441668039626579 787718556084552965412665408530614344431858676975145661406800 700237877659134401712749470420562230538994561314071127000407 854733269939081454664645880797270826683063432858785698305235 808933065757406795457163775254202114955761581400250126228594 130216471550979259230990796547376125517656751357517829666454 779174501129961489030463994713296210734043751895735961458901 938971311179042978285647503203198691514028708085990480109412 147221317947647772622414254854540332157185306142288137585043 063321751829798662237172159160771669254748738986654949450114 654062843366393790039769265672146385306736096571209180763832 716641627488880078692560290228472104031721186082041900042296 617119637792133757511495950156604963186294726547364252308177 036751590673502350728354056704038674351362222477158915049530 984448933309634087807693259939780541934144737744184263129860 809988868741326047215695162396586457302163159819319516735381 297416772947867242292465436680098067692823828068996400482435 403701416314965897940924323789690706977942236250822168895738 379862300159377647165122893578601588161755782973523344604281 512627203734314653197777416031990665541876397929334419521541 341899485444734567383162499341913181480927777103863877343177 207545654532207770921201905166096280490926360197598828161332 316663652861932668633606273567630354477628035045077723554710 585954870279081435624014517180624643626794561275318134078330 336254232783944975382437205835311477119926063813346776879695 970309833913077109870408591337464144282277263465947047458784 778720192771528073176790770715721344473060570073349243693113 835049316312840425121925651798069411352801314701304781643788 518529092854520116583934196562134914341595625865865570552690 496520985803385072242648293972858478316305777756068887644624 824685792603953527734803048029005876075825104747091643961362 676044925627420420832085661190625454337213153595845068772460 290161876679524061634252257719542916299193064553779914037340 432875262888963995879475729174642635745525407909145135711136 941091193932519107602082520261879853188770584297259167781314 969900901921169717372784768472686084900337702424291651300500 516832336435038951702989392233451722013812806965011784408745 196012122859937162313017114448464090389064495444006198690754 851602632750529834918740786680881833851022833450850486082503 930213321971551843063545500766828294930413776552793975175461 395398468339363830474611996653858153842056853386218672523340 283087112328278921250771262946322956398989893582116745627010 218356462201349671518819097303811980049734072396103685406643 193950979019069963955245300545058068550195673022921913933918 568034490398205955100226353536192041994745538593810234395544 959778377902374216172711172364343543947822181852862408514006 660443325888569867054315470696574745855033232334210730154594 051655379068662733379958511562578432298827372319898757141595 781119635833005940873068121602876496286744604774649159950549 737425626901049037781986835938146574126804925648798556145372 347867330390468838343634655379498641927056387293174872332083 760112302991136793862708943879936201629515413371424892830722 012690147546684765357616477379467520049075715552781965362132 392640616013635815590742202020318727760527721900556148425551 879253034351398442532234157623361064250639049750086562710953 59194658975141310348227693

圆周率是无线循环小数诶，是无限位数的

人家说的是位数：3.1231813256456456

小数点后23位

现在有一百多位了，后面还有呢～

鍦嗗懆鐜鏈夊灏戜綅
绛旓細蟺=3. 1415926535 8979323846 2643383279 5028841971 6939937510 锛: 50锛 5820974944 5923078164 0628620899 8628034825 3421170679 锛: 100锛 8214808651 3282306647 0938446095 5058223172 5359408128 锛: 150锛 4811174502 8410270193 8521105559 6446229489 5493038196 锛: 200锛 4428810975 6659334461 ...

鍦嗗懆鐜宸茬粡绮剧‘鍒板皬鏁扮偣鍚庡灏戜綅浜?鍏蜂綋鏄灏?
绛旓細鍦嗗懆鐜囅宸茬粡绮剧‘鍒颁簡绗25769.8037浜夸綅銆蟺鐨鍊硷細蟺=3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 ...

鍦嗗懆鐜绠楀埌浜嗗灏戜綅
绛旓細鍦嗗懆鐜囧啀绠椾笅鍘荤殑鎰忎箟 浜轰滑璁＄畻鍦嗗懆鐜囧啀涔熶笉鏄负浜嗙畻灏藉皬鏁颁綅锛岃屾槸涓嶆柇鎻愰珮灏忔暟浣嶃傞櫎浜鍦嗗懆鐜囩殑鎷夐┈鍔噾鍏紡杩欐牱鏀舵暃閫熷害闈炲父蹇殑鍏紡涔嬪锛岃繕鏈夎绠楅熷害鏇村揩鐨勮凯浠ｇ畻娉曘傚啀閫氳繃瓒呯骇璁＄畻鏈猴紝浜虹被鐜板湪鍙互鎶婂皬鏁颁綅涓鐩寸畻鍒31.4涓囦嚎浣嶃傝櫧鐒舵垜浠凡缁忕畻鍑轰簡鍦嗗懆鐜囩殑璇稿灏忔暟浣嶏紝浣嗘垜浠疄闄呮墍鐢ㄥ埌鐨勪綅鏁寰堝皯銆傚湪...

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