{"id":2267,"date":"2010-01-12T15:20:33","date_gmt":"2010-01-12T07:20:33","guid":{"rendered":"http:\/\/pylin.kaishao.idv.tw\/?p=2267"},"modified":"2010-01-24T05:40:37","modified_gmt":"2010-01-23T21:40:37","slug":"%e5%90%91%e5%bf%ab%e6%a8%82%e7%9a%84%e9%9d%88%e9%ad%82%e8%87%b4%e6%95%ac","status":"publish","type":"post","link":"https:\/\/pylin.kaishao.idv.tw\/?p=2267","title":{"rendered":"\u5411\u5feb\u6a02\u7684\u9748\u9b42\u81f4\u656c"},"content":{"rendered":"<p style=\"text-align: center\"><img decoding=\"async\" vspace=\"10\" width=\"650\" src=\"http:\/\/pylin.kaishao.idv.tw\/wp-content\/uploads\/2008\/02\/sunflower1.jpg\" hspace=\"10\" alt=\"sunflower1.jpg\" \/><\/p>\n<p>\u7248\u4e3b\u8a3b\uff1a1980\u5e74\u5728\u6578\u5b78\u754c\uff0c\u4e0d\uff0c\u5728\u8cbb\u6c0f\u7a7a\u9593\u6d88\u5931\u4e86\u4e00\u9846\u660e\u4eae\u7684\u5de8\u661f\u2014\u2014\u4f55\u683c\u7279\uff08V. Hoggatt\uff09\u3002\u4ed6\u751f\u65bc1921\u5e74\uff0c1963\u5e74\u6642\u8207\u5e03\u9b6f\u897f\u5967\uff08A. Brousseau\uff09\u548c\u9b6f\u683c\u91cc\u65af\uff08I. D. Ruggles\uff09\u5171\u540c\u958b\u95e2\u4e86\u4e00\u500b\u65b0\u7684\u6578\u5b78\u5712\u5730\u2014\u2014\u8cbb\u6c0f\u5b63\u520a\u3002\u8cbb\u6c0f\u5b63\u520a\u767b\u8f09\u8cbb\u6c0f\u6578\u5217\u53ca\u5176\u76f8\u95dc\u6578\u5b57\u7684\u4e00\u4e9b\u7f8e\u5999\u6027\u8cea\uff0c\u5176\u4e2d\u5f88\u591a\u6587\u7ae0\u53ea\u8981\u5177\u5099\u9ad8\u4e2d\u6578\u5b78\u77e5\u8b58\u5c31\u80fd\u6b23\u8cde\u3002\u9019\u500b\u5712\u5730\u5341\u516b\u5e74\u4f86\u7d93\u4ed6\u5011\u8f9b\u52e4\u7684\u8015\u8018\uff0c\u4e0d\u65b7\u958b\u51fa\u795e\u5999\u4e4b\u82b1\uff0c\u4f46\u4f55\u683c\u7279\u537b\u63d0\u65e9\u96e2\u958b\u9019\u5712\u5730\u3002\u4e0d\u904e\uff0c\u4ecd\u6709\u7121\u6578\u7684\u8ffd\u96a8\u8005\u5c07\u8e0f\u8457\u4ed6\u7684\u8173\u6b65\uff0c\u7e7c\u7e8c\u5728\u9019\u82b1\u5712\u88e1\u64ad\u7a2e\u30021981\u5e748\u6708\u4efd\u7684\u8cbb\u6c0f\u5b63\u520a\uff0c\u70ba\u4e86\u61f7\u5ff5\u9019\u4f4d\u5712\u4e01\u7684\u6210\u5c31\uff0c\u7279\u520a\u8f09\u5e2b\u53cb\u5011\u70ba\u4ed6\u6240\u5beb\u7684\u7d00\u5ff5\u6587\u3002\u7248\u4e3b\u7279\u5730\u8b6f\u4e86\u4ed6\u7684\u6578\u5b78\u555f\u8499\u8001\u5e2b\u2014\u2014\u827e\u7dad\u65af\uff08H. Eves\uff09\u7684\u5b8f\u6587\uff0c\u8b93\u5927\u5bb6\u77e5\u9053\u5de8\u661f\u5982\u4f55\u4e0a\u5347\u3002<\/p>\n<p><!--more-->\u90a3\u662f1940\u5e74\u4ee3\u7684\u4e2d\u671f\uff0c\u6211\u96e2\u958b\u7d10\u7d04\u5dde\u897f\u62c9\u514b\u65af\uff08Syracuse\uff09\u5927\u5b78\u7684\u61c9\u7528\u6578\u5b78\u7cfb\uff0c\u800c\u5c31\u83ef\u76db\u9813\u5dde\u9054\u79d1\u99ac\uff08Tacoma\uff09\u7684Puget Sound\u5b78\u9662\uff08\u73fe\u70ba\u5927\u5b78\uff09\u7684\u6578\u5b78\u7cfb\u4e3b\u4efb\u3002\u5728\u65b0\u8077\u4f4d\u4e0a\uff0c\u6211\u7684\u6559\u8077\u662f\u5b78\u9662\u7684\u521d\u7d1a\u8ab2\u7a0b\u2014\u2014\u4ee3\u6578\u548c\u4e09\u89d2\u5b78\u3002\u7b2c\u4e00\u6b21\u4e0a\u8ab2\u6642\uff0c\u5c31\u767c\u73fe\u5728\u4e8c\u5341\u5e7e\u4f4d\u5b78\u751f\u4e2d\uff0c\u6709\u4e00\u500b\u5916\u8868\u4f36\u4fd0\u800c\u78a9\u5065\u7684\u50a2\u4f19\uff0c\u4ed6\u6b63\u5168\u795e\u8cab\u6ce8\u7684\u807d\u7dd2\u8ad6\u4ecb\u7d39\u3002<\/p>\n<p>\u4e00\u6bb5\u6642\u9593\u904e\u5f8c\uff0c\u6211\u77e5\u9053\u9019\u500b\u5b78\u751f\u540d\u53eb\u4f55\u683c\u7279\uff0c\u6b63\u5f9e\u9678\u8ecd\u9000\u4e0b\u4f86\uff0c\u5c0d\u6578\u5b78\u64c1\u6709\u4e0d\u5c0b\u5e38\u7684\u8cc7\u8cea\u8207\u611b\u597d\u3002\u6beb\u7121\u7591\u554f\u7684\uff0c\u5728\u6211\u5fc3\u76ee\u4e2d\u958b\u59cb\u6709\u4e86\u9019\u6a23\u7684\u5ff5\u982d\uff1a\u4ed6\u662f\u6578\u5b78\u6307\u5c0e\u8005\u6240\u5c0b\u627e\u7684\u5922\u2014\u2014\u5177\u6709\u6f5b\u529b\u7684\u672a\u4f86\u6578\u5b78\u5bb6\u3002\u4f55\u683c\u7279\u559c\u6b61\u8a0e\u8ad6\u6578\u5b78\u7684\u4e8b\u7269\uff0c\u5f88\u5feb\u7684\uff0c\u6211\u5011\u5229\u7528\u4e0b\u5348\uff0c\u5076\u800c\u662f\u508d\u665a\uff0c\u5728\u9054\u79d1\u99ac\u93ae\u4e0a\u6563\u6b65\u4e26\u8a0e\u8ad6\u6578\u5b78\u3002\u5728\u6563\u6b65\u4e2d\uff0c\u6211\u63d0\u51fa\u90a3\u4e9b\u6211\u4ee5\u70ba\u6703\u5f15\u8d77\u4f55\u683c\u7279\u60f3\u50cf\u53ca\u7576\u6642\u4ed6\u6240\u80fd\u7406\u89e3\u7684\u984c\u6750\u3002<\/p>\n<p>\u56e0\u4f55\u683c\u7279\u5c0d\u6578\u5b78\u7684\u7f8e\u9e97\u6027\u8cea\u6709\u7279\u5225\u504f\u611b\u548c\u76f4\u89ba\u7684\u611f\u53d7\uff0c\u6211\u5011\u958b\u59cb\u8a0e\u8ad6\u4e00\u500b\u4ed6\u559c\u611b\u7684\u984c\u6750\u2014\u2014\u7562\u6c0f\u4e09\u9023\u6578\uff08Pythagorean triples\uff09\u3002\u8a18\u5f97\u6709\u4e00\u5929\u665a\u4e0a\uff0c\u5728\u4e00\u7c21\u77ed\u8a0e\u8ad6\u4e4b\u5f8c\uff0c\u6211\u60f3\u8a66\u8a66\u4ed6\u5c0d\u65bc\u65b0\u7fd2\u5f97\u77e5\u8b58\u7684\u61c9\u7528\u80fd\u529b\u3002\u7576\u6642\u6211\u6b63\u597d\u8b80\u5b8c\u4f2f\u52aa\u5229\uff08J. Bernoule\uff09\u76841744\u5e74\u8457\u4f5c\uff08Opera of 1744\uff09\uff0c\u767c\u73fe\u4e86\u4e00\u500b\u5438\u5f15\u4eba\u7684\u5c0f\u554f\u984c\uff1a\u300c\u6cf0\u5854\u65af\uff08Titius\uff09\u7d66\u670b\u53cb\u5c71\u666e\u7f85\u5c3c\u65af\uff08Sempronius\uff09\u4e00\u584a\u4e09\u89d2\u5f62\u7530\u5730\uff0c\u4e09\u908a\u9577\u662f50\u300150\u300180\uff0c\u4ee5\u4ea4\u63db\u4e00\u584a\u4e09\u908a\u9577\u662f50\u300150\u300160\u3000\u7684\u7530\u5730\uff0c\u6211\u8aaa\u9019\u662f\u4e00\u9805\u516c\u5e73\u7684\u4ea4\u6613\u3002\u300d<\/p>\n<p>\u4f55\u683c\u7279\u770b\u5b8c\u984c\u76ee\u5f8c\uff0c\u6211\u544a\u8a22\u4ed6\u8aaa\uff0c\u5169\u500b\u4e0d\u5168\u7b49\u7684\u7b49\u8170\u4e09\u89d2\u5f62\uff0c\u5982\u679c\u908a\u9577\u5747\u70ba\u6574\u6578\uff0c\u4e14\u6709\u76f8\u540c\u7684\u8170\u9577\u3001\u9762\u7a4d\uff0c\u5247\u6211\u5011\u7a31\u6b64\u4e8c\u7b49\u8170\u4e09\u89d2\u5f62\u70ba\u4e00\u4f2f\u52aa\u5229\u4e09\u89d2\u5f62\u5c0d\u3002\u7576\u6642\uff0c\u6211\u8981\u4f55\u683c\u7279\u627e\u51fa\u505a\u9019\u7a2e\u4f2f\u52aa\u5229\u4e09\u89d2\u5f62\u5c0d\u7684\u65b9\u6cd5\u3002\u4ed6\u7acb\u523b\u767c\u73fe\uff0c\u9019\u7a2e\u4e09\u89d2\u5f62\u5c0d\u53ef\u4ee5\u5f9e\u7562\u6c0f\u4e09\u89d2\u5f62\u5f97\u5230\u3002\u5c07\u4e8c\u500b\u5168\u7b49\u7684\u7562\u6c0f\u4e09\u89d2\u5f62\u7684\u77ed\u80a1\u91cd\u5408\uff0c\u53ef\u5f97\u5230\u4e00\u7b49\u8170\u4e09\u89d2\u5f62\uff1b\u5c07\u4e0a\u8ff0\u7562\u6c0f\u4e09\u89d2\u5f62\u7684\u53e6\u4e00\u80a1\u91cd\u5408\uff0c\u53ef\u5f97\u5230\u53e6\u4e00\u7b49\u8170\u4e09\u89d2\u5f62\uff0c\u6b64\u4e8c\u7b49\u8170\u4e09\u89d2\u5f62\u5373\u69cb\u6210\u4f2f\u52aa\u5229\u4e09\u89d2\u5f62\u5c0d\u3002\u6cf0\u5854\u65af\u8207\u5c71\u666e\u7f85\u5c3c\u65af\u4ea4\u63db\u7684\u4e8c\u584a\u7530\u5730\uff0c\u5373\u753130\u300140\u300150\u7562\u6c0f\u4e09\u89d2\u5f62\u7d44\u6210\u3002\u4f55\u683c\u7279\u540c\u6642\u6307\u51fa\uff0c\u7528\u4ed6\u7684\u65b9\u6cd5\u69cb\u5efa\u7684\u4f2f\u52aa\u5229\u4e09\u89d2\u5f62\uff0c\u5e95\u908a\u4e00\u5b9a\u662f\u5076\u6578\uff08\u5982\u4e0a\u8ff0\u4e4b60\u300180\uff09\uff0c\u9762\u7a4d\u5fc5\u662f\u6574\u6578\u3002<\/p>\n<p>\u5728\u53e6\u4e00\u6b21\u6563\u6b65\u4e2d\uff0c\u6211\u63d0\u51fa\u5728\u4e00\u623f\u9593\u7684\u4e00\u89d2\uff0c\u7528\u5169\u7247\u5f0f\u5c4f\u98a8\u4f86\u9694\u96e2\uff0c\u5982\u4f55\u624d\u80fd\u570d\u51fa\u6700\u5927\u9762\u7a4d\u7684\u554f\u984c\u3002\u6211\u525b\u6558\u8ff0\u5b8c\u554f\u984c\u6642\uff0c\u4f55\u683c\u7279\u505c\u6b62\u524d\u9032\uff0c\u540c\u6642\u8209\u8d77\u53f3\u624b\u6210\u6c34\u5e73\uff0c\u4e26\u628a\u98df\u6307\u5411\u524d\u4f38\u51fa\uff0c\u4ed6\u8aaa\uff1a\u300c\u90a3\u5c31\u662f\u89e3\u7b54\u3002\u300d\u6211\u9806\u8457\u4ed6\u7684\u624b\u6307\u65b9\u5411\u671b\u53bb\uff0c\u5728\u6211\u5011\u6563\u6b65\u7684\u524d\u65b9\u9053\u8def\u4e0a\uff0c\u6b63\u6709\u4e00\u500b\u516b\u89d2\u5f62\u7684\u505c\u6b62\u8def\u6a19\u3002<\/p>\n<p>\u7576\u6642\u6709\u4e00\u7a2e\u6d41\u884c\u7684\u6d88\u9063\u904a\u6232\uff0c\u5168\u570b\u5404\u5730\u8a31\u591a\u6578\u5b78\u5bb6\u90fd\u88ab\u8ff7\u4f4f\u4e86\u3002\u6709\u4e00\u500b\u984c\u76ee\u6700\u521d\u51fa\u73fe\u5728\u7f8e\u570b\u6578\u5b78\u6708\u520a\uff08The American Mathematical Monthly\uff09\u3002\u9019\u500b\u904a\u6232\u662f\u5f9e1\u5230100\u7684\u4efb\u4e00\u6578\uff0c\u8a2d\u6cd5\u56b4\u683c\u7684\u75284\u500b9\u8868\u793a\uff0c\u5176\u4e2d\u50c5\u80fd\u6709\u6578\u5b78\u904b\u7b97\u7b26\u865f\u3002\u4f8b\u5982\uff1a<\/p>\n<p style=\"text-align: center\"><img decoding=\"async\" src=\"http:\/\/pylin.kaishao.idv.tw\/wp-content\/uploads\/2010\/01\/www001.JPG\" alt=\"www001.JPG\" \/><\/p>\n<p>\u4f55\u683c\u7279\u8b93\u6211\u770b\u4ed6\u5b8c\u6210\u7684\u7d50\u679c\uff0c\u5c0d67\u300168\u300170\u4ed6\u7684\u7d50\u679c\u5982\u4e0b\uff1a<\/p>\n<p style=\"text-align: center\"><img decoding=\"async\" src=\"http:\/\/pylin.kaishao.idv.tw\/wp-content\/uploads\/2010\/01\/www002.JPG\" alt=\"www002.JPG\" \/><\/p>\n<p>\u6211\u5728Puget Sound\u5b78\u9662\u50c5\u5f85\u4e86\u4e00\u5b78\u5e74\uff0c\u56e0\u6211\u63a5\u53d7\u5967\u52d2\u5ca1\u5dde\u7acb\u5927\u5b78\u7c73\u723e\u6069\u6559\u6388\u7684\u5f15\u4eba\u5efa\u8b70\u2014\u2014\u52a0\u5165\u4ed6\u7684\u6578\u5b78\u7814\u7a76\u5718\u3002\u6700\u56f0\u96e3\u7684\u662f\u5982\u4f55\u5411\u4f55\u683c\u7279\u544a\u5225\uff0c\u6211\u5011\u4f5c\u4e86\u4e00\u6b21\u300c\u6700\u5f8c\u7684\u300d\u6563\u6b65\uff0c\u7136\u5f8c\u6211\u9996\u9014\u5967\u52d2\u5ca1\u3002<\/p>\n<p>\u5230\u9054\u5967\u5967\u52d2\u5ca1\u5dde\u6c92\u591a\u4e45\uff0c\u5b78\u5e74\u958b\u59cb\uff0c\u5f88\u9ad8\u8208\u5730\u767c\u73fe\u4f55\u683c\u7279\u51fa\u73fe\u5728\u6211\u4e0a\u8ab2\u7684\u73ed\u7d1a\u4e2d\uff0c\u4ed6\u6c7a\u5b9a\u5230\u5967\u52d2\u5ca1\u8ffd\u96a8\u6211\u3002\u5f88\u5feb\u5730\uff0c\u6211\u5011\u958b\u59cb\u300c\u5171\u632f\u7684\u6563\u6b65\u300d\uff08\u4e92\u76f8\u6fc0\u76ea\u7684\u6563\u6b65\uff09\u3002\u5e38\u5e38\u5728\u665a\u9910\u5f8c\uff0c\u6211\u6216\u4ed6\u6253\u96fb\u8a71\u5230\u53e6\u4e00\u4eba\u5bb6\u4e2d\uff08\u6211\u5011\u4f4f\u5728\u93ae\u4e0a\u7684\u5169\u7aef\uff09\uff0c\u7136\u5f8c\u88ab\u9080\u8005\u524d\u5f80\u6253\u96fb\u8a71\u8005\u5bb6\u4e2d\uff0c\u5230\u9054\u5f8c\uff0c\u5373\u5c55\u958b\u6709\u8da3\u7684\u6578\u5b78\u8a0e\u8ad6\u3002\u8a0e\u8ad6\u7684\u4e3b\u984c\u6b63\u597d\u5728\u5230\u9054\u5bb6\u524d\u7d50\u675f\uff0c\u6216\u7531\u65bc\u5df2\u592a\u665a\u4e86\uff0c\u624d\u7d50\u675f\u8a0e\u8ad6\uff0c\u6211\u5011\u7528\u9019\u7a2e\u4e92\u76f8\u6fc0\u76ea\u7684\u65b9\u5f0f\u6d88\u8017\u665a\u4e0a\u7684\u6642\u5149\u3002<\/p>\n<p>\u6211\u5011\u8a0e\u8ad6\u7684\u5167\u5bb9\uff0c\u5df2\u8f03\u9054\u79d1\u99ac\u6642\u4e4b\u6563\u6b65\u66f4\u6df1\u5165\u4e86\u3002\u6211\u8a18\u5f97\u8a0e\u8ad6\u7684\u4e3b\u984c\u4e4b\u4e00\uff0c\u662f\u7a31\u70ba\u5b9a\u7fa9\u660e\u78ba\u7684\u6b50\u5e7e\u91cc\u5f97\u5efa\u69cb\uff08well-defined Euclidean construction\uff09\u3002\u7576\u8003\u616e\u4e8c\u8ecc\u8de1\u4e4b\u4ea4\u9ede\u6642\uff0c\u82e5\u5176\u4ea4\u89d2\u5c0f\u65bc\u67d0\u4e9b\u5df2\u77e5\u5c0f\u89d2q \uff08some given small angle q\uff09\uff0c\u5247\u70ba\u5b9a\u7fa9\u4e0d\u660e\u78ba\uff08ill-defined\uff09\uff1b\u7576\u4e00\u7247\u6bb5\u7684\u9577\u5ea6\u5c0f\u65bc\u67d0\u7d66\u5b9a\u7684\u5c0f\u8ddd\u96e2d\u6642\uff0c\u8981\u7531\u6b64\u7247\u6bb5\u6c7a\u5b9a\u4e00\u76f4\u7dda\u70ba\u5b9a\u7fa9\u4e0d\u660e\u78ba\uff1b\u7576\u4e00\u5713\u7684\u534a\u5f91\u5c0f\u65bcd\uff0c\u5247\u70ba\u5b9a\u7fa9\u4e0d\u660e\u78ba\uff1b\u5426\u5247\u5373\u70ba\u5b9a\u7fa9\u660e\u78ba\u7684\u5efa\u69cb\u3002\u6211\u5011\u8b49\u660e\u4e86\u4efb\u4f55\u6b50\u5e7e\u91cc\u5f97\u5efa\u69cb\u662f\u5b9a\u7fa9\u660e\u78ba\u7684\uff0c\u9019\u4e9b\u5c31\u6210\u70ba\u6211\u5011\u7b2c\u4e00\u6b21\u5408\u5beb\u8ad6\u6587\u7684\u5167\u5bb9\u3002<\/p>\n<p>\u53e6\u4e00\u8ad6\u6587\uff08\u767c\u8868\u5728\u7f8e\u570b\u6578\u5b78\u6708\u520a\uff09\u4e5f\u662f\u6563\u6b65\u4e2d\u5f15\u8d77\u7684\uff0c\u7d93\u64f4\u5c55\u5f8c\u6210\u70ba\u4f55\u683c\u7279\u7684\u78a9\u58eb\u8ad6\u6587\uff0c\u90a3\u662f\u5f9e\u5f6d\u5361\u745e\u6a21\u5f0f\uff08Poincare model\uff09\u8003\u616e\u96d9\u66f2\u7dda\u4e09\u89d2\u5b78\u7684\u5fae\u5206\u3002\u6211\u5011\u7814\u7a76\u8a31\u591a\u4e3b\u984c\uff0c\u5982Schick\u5b9a\u7406\u3001\u975e\u525b\u9ad4\u591a\u9762\u9ad4\u3001\u65b0\u77e9\u9663\u4e58\u6cd5\u3001\u5411\u91cf\u904b\u7b97\u7684\u77e9\u9663\u7b97\u6cd5\u3001\u5411\u91cf\u7dda\u6027\u7368\u7acb\uff08independence\uff09\u7684\u91cf\u7684\u89c0\u9ede\u3001\u4e09\u9762\u66f2\u9762\u3001Rouquet\u66f2\u7dda\u548c\u8a31\u591a\u5fae\u5206\u5e7e\u4f55\u7684\u8ab2\u984c\u3002<\/p>\n<p>\u6211\u5011\u4e26\u6c92\u6709\u653e\u68c4\u5c0d\u8da3\u5473\u6578\u5b78\u7684\u8208\u8da3\uff0c\u5728\u9054\u79d1\u99ac\u7684\u6578\u76ee\u904a\u6232\uff0c\u73fe\u5728\u5247\u8f03\u56f0\u96e3\u4e86\uff0c\u5982\u5f9e1\u81f3100\u7684\u6578\u76ee\u75280, 1, 2, 3,\u2026\u20268, 9\u7b49\u5341\u500b\u6578\u5b57\u4f86\u8868\u793a\uff0c\u6bcf\u4e00\u6578\u5b57\u53ea\u51c6\u4f7f\u7528\u4e00\u6b21\u3002\u9019\u500b\u554f\u984c\u88ab\u4f55\u683c\u7279\u8070\u660e\u800c\u5b8c\u6574\u7684\u7528\u4e0b\u5f0f\u89e3\u6c7a\uff0c\u5c0d\u4efb\u4f55\u975e\u8ca0\u6574\u6578n\uff0c\u6709\u4e0b\u7d50\u679c\uff1a<\/p>\n<p style=\"text-align: center\"><img decoding=\"async\" src=\"http:\/\/pylin.kaishao.idv.tw\/wp-content\/uploads\/2010\/01\/www003.JPG\" alt=\"www003.JPG\" \/><\/p>\n<p>\u8acb\u6ce8\u610f\u4ed6\u7528\u6578\u5b57\u7684\u81ea\u7136\u9806\u5e8f\u8868\u793a\u51fa\u4f86\uff08\u591a\u9ebc\u6f02\u4eae\u7684\u7b54\u6848\uff09\u3002\u5982\u5728\u5f0f\u5b50\u524d\u9762\u6a19\u4e0a\u8ca0\u865f\uff0c\u5247\u4efb\u4f55\u6574\u6578\uff08\u8ca0\u3001\u96f6\u3001\u6b63\uff09\u7686\u53ef\u4ee5\u7528\u4f55\u683c\u7279\u7684\u5f0f\u5b50\u8868\u793a\u3002<\/p>\n<p>\u5728\u5967\u52d2\u5ca1\u7684\u4ea4\u5f80\u6709\u4e00\u4ef6\u5c0f\u4e8b\u767c\u751f\uff0c\u4e8b\u5f8c\u8b49\u660e\u5b83\u5728\u4f55\u683c\u7279\u7684\u751f\u547d\u4e2d\u662f\u5f88\u91cd\u8981\u7684\u3002\u6211\u7b2c\u4e00\u6b21\u88ab\u9080\u8acb\u5728\u5967\u52d2\u5ca1\u5dde\u7684\u5927\u5b78\u6578\u5b78\u4ff1\u6a02\u90e8\u6f14\u8b1b\uff0c\u9078\u7684\u984c\u76ee\u6070\u5de7\u662f<font color=\"#800000\">\u300c\u5f9e\u5154\u5b50\u5230\u5411\u65e5\u8475\u300d<\/font>\uff08\u8a3b\uff09\uff0c\u8ac7\u8457\u540d\u7684\u8cbb\u6c0f\u6578\u5217\u3002\u7576\u7136\uff0c\u4f55\u683c\u7279\u53c3\u52a0\u4e86\u6f14\u8b1b\u6703\uff0c\u6f14\u8b1b\u5167\u5bb9\u5f15\u8d77\u4ed6\u5c0d\u6578\u5b78\u4ee5\u53ca\u6578\u5b57\u90a3\u7121\u7aae\u76e1\u5f15\u4eba\u6027\u8cea\u7684\u8208\u8da3\u3002\u6f14\u8b1b\u5f8c\u6578\u9031\uff0c\u4f55\u683c\u7279\u5f88\u7528\u5fc3\u5730\u7814\u7a76\u6709\u8da3\u7684\u8cbb\u4f2f\u7d0d\u897f\u6578\u3002\u8ffd\u6c42\u9019\u4e9b\u6578\u53ca\u76f8\u95dc\u6578\u6210\u70ba\u4ed6\u7684\u4e3b\u8981\u6578\u5b78\u6d3b\u52d5\uff0c\u6700\u5f8c\u5c0e\u81f4\u6210\u7acb\u300c\u8cbb\u6c0f\u5b63\u520a\u300d\uff0c\u800c\u81f4\u529b\u7814\u7a76\u9019\u7a2e\u6578\u3002\u5728\u8056\u8377\u897f\u5927\u5b78\u90a3\u4e00\u6bb5\u9577\u800c\u8457\u540d\u7684\u4efb\u671f\u5167\uff0c\u4f55\u683c\u7279\u4ee5\u6b64\u4e3b\u984c\u6307\u5c0e\u8a31\u591a\u78a9\u58eb\uff0c\u55ae\u7368\u5730\u6216\u8207\u9580\u751f\u5408\u4f5c\uff0c\u767c\u8868\u4e86\u6578\u91cf\u9a5a\u4eba\u800c\u53c8\u975e\u5e38\u5438\u5f15\u4eba\u7684\u8ad6\u6587\uff0c\u6210\u70ba\u7576\u4ee3\u8cbb\u4f2f\u7d0d\u897f\u6578\u53ca\u76f8\u95dc\u6578\u7684\u6b0a\u5a01\u3002<\/p>\n<p style=\"text-align: center\"><img decoding=\"async\" vspace=\"10\" width=\"650\" src=\"http:\/\/pylin.kaishao.idv.tw\/wp-content\/uploads\/2008\/05\/dsc00359.jpg\" hspace=\"10\" alt=\"dsc00359.jpg\" \/><\/p>\n<p>\u5728\u5967\u52d2\u5ca1\u5dde\u5b78\u9662\u6578\u5e74\u5f8c\uff0c\u6211\u8fd4\u56de\u6771\u90e8\uff0c\u4f46\u4f55\u683c\u7279\u4ecd\u7e7c\u7e8c\u5c07\u4ed6\u7684\u7f8e\u9e97\u767c\u73fe\u9001\u7d66\u6211\u3002\u7576\u6211\u5beb\u4e0b\u300c\u6578\u5b78\u65b9\u5713\u300d\uff08Mathematical Circles Squared\uff09\uff0c\u6211\u7528\u4e0b\u9762\u7684\u8a5e\u53e5\u984c\u737b\u7d66\u4ed6\uff1a<\/p>\n<p>\u8d08\u3000\u4f55\u683c\u7279<\/p>\n<p><font color=\"#008000\">\u591a\u5e74\u4f86\uff0c\u4ed6\u9001\u7d66\u6211\u7684\u6578\u5b78\u7f8e\u98df\u6bd4\u4efb\u4f55\u4eba\u591a\u3002<\/font><\/p>\n<p>\u5728\u6578\u5b78\u754c\uff0c\u4f55\u683c\u7279\u662f\u96f2\u96c0\uff0c\u5f88\u907a\u61be\u6211\u4e0d\u80fd\u63cf\u8ff0\u5f97\u66f4\u597d\uff0c\u66f4\u53ef\u60dc\u7684\u662f\u4e0d\u80fd\u518d\u807d\u5230\u4ed6\u7684\u6b4c\u5531\u3002\u4f46\uff0c\u591a\u9ebc\u7684\u5e78\u904b\uff0c\u6211\u807d\u5230\u4e86\u96f2\u96c0\u4e4b\u521d\u5c55\u6b4c\u5589\u3002<\/p>\n<p>\u8a3b\uff1a\u76f8\u95dc\u5167\u5bb9\u53ef\u53c3\u95b1\u79d1\u5b78\u6708\u520a\u7b2c\u4e8c\u5377\u7b2c\u516b\u671f\uff0c\u66f9\u4eae\u5409\u6559\u6388\u8457\u300c<a href=\"http:\/\/episte.math.ntu.edu.tw\/articles\/sm\/sm_02_08_1\/index.html\" class=\"external\" rel=\"nofollow\" target=\"_blank\">\u5154\u5b50\u3001\u9cf3\u68a8\u3001\u5411\u65e5\u8475\u3001\u5e15\u5fb7\u80fd\u5edf\u3001\u6b63\u5341\u908a\u5f62\u3001\u9e1a\u9d61\u87ba\u300d<\/a>\u4e00\u6587\u3002<\/p>\n<p>\uff08\u672c\u6587\u53d6\u6750\u81eaThe Fibonacci Quarterly\uff0c\uff088\uff09\ufe55193\uff5e196, 1981\uff09<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7248\u4e3b\u8a3b\uff1a1980\u5e74\u5728\u6578\u5b78\u754c\uff0c\u4e0d\uff0c\u5728\u8cbb\u6c0f\u7a7a\u9593\u6d88\u5931\u4e86\u4e00\u9846\u660e\u4eae\u7684\u5de8\u661f\u2014\u2014\u4f55\u683c\u7279\uff08V. Hoggatt\uff09\u3002\u4ed6\u751f\u65bc192 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16,1],"tags":[],"class_list":["post-2267","post","type-post","status-publish","format-standard","hentry","category-16","category-1"],"_links":{"self":[{"href":"https:\/\/pylin.kaishao.idv.tw\/index.php?rest_route=\/wp\/v2\/posts\/2267","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pylin.kaishao.idv.tw\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pylin.kaishao.idv.tw\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pylin.kaishao.idv.tw\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/pylin.kaishao.idv.tw\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2267"}],"version-history":[{"count":0,"href":"https:\/\/pylin.kaishao.idv.tw\/index.php?rest_route=\/wp\/v2\/posts\/2267\/revisions"}],"wp:attachment":[{"href":"https:\/\/pylin.kaishao.idv.tw\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2267"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pylin.kaishao.idv.tw\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2267"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pylin.kaishao.idv.tw\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2267"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}