{"id":35137,"date":"2011-08-17T17:22:38","date_gmt":"2011-08-17T09:22:38","guid":{"rendered":"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/?p=35137"},"modified":"2021-10-06T16:24:08","modified_gmt":"2021-10-06T08:24:08","slug":"%e6%81%86%e5%af%ac%e6%9b%b2%e7%b7%9a%ef%bc%88curve-of-constant-width%ef%bc%89","status":"publish","type":"post","link":"http:\/\/localhost\/%e6%81%86%e5%af%ac%e6%9b%b2%e7%b7%9a%ef%bc%88curve-of-constant-width%ef%bc%89\/","title":{"rendered":"\u6046\u5bec\u66f2\u7dda\uff08Curve of Constant Width\uff09"},"content":{"rendered":"<div class=\"pf-content\"><p><strong><span style=\"color: #ff6600;\">\u6046\u5bec\u66f2\u7dda\uff08Curve of Constant Width\uff09<br \/>\n<span style=\"color: #008000;\">\u53f0\u5317\u5e02\u7acb\u5927\u76f4\u9ad8\u7d1a\u4e2d\u5b78\u6578\u5b78\u79d1\u9ad8\u5b50\u5a77\u8001\u5e2b\/\u570b\u7acb\u53f0\u7063\u5927\u5b78\u6578\u5b78\u7cfb\u7fc1\u79c9\u4ec1\u6559\u6388\u8cac\u4efb\u7de8\u8f2f<\/span><\/span><\/strong><\/p>\n<p><strong>\u6458\u8981\uff1a\u672c\u7bc7\u6587\u7ae0\u5f9e\u300c\u6046\u5bec\u66f2\u7dda\u300d\u8ac7\u8d77\uff0c\u6700\u5f8c\u56de\u5230\u5713\u7684\u5b9a\u7fa9\uff0c\u85c9\u7531\u6046\u5bec\u8207\u5713\u7684\u5dee\u5225\u9ad4\u6703\u5713\u7684\u7cbe\u5999\u3002<\/strong><\/p>\n<p><strong><span style=\"color: #000080;\">\u4f55\u8b02\u6046\u5bec\u66f2\u7dda<\/span><\/strong><\/p>\n<p style=\"text-align: left;\">\u5de5\u7a0b\u4e0a\u7a31\u67d0\u7a2e\u66f2\u7dda\u70ba\u300c<strong>\u6046\u5bec\uff08constant width\uff09\u66f2\u7dda\u300d\uff1a\u5e73\u9762\u4e0a\u4e00\u51f8\u5f62\u5c01\u9589\u66f2\u7dda\uff0c\u4e0d\u8ad6\u5982\u4f55\u8f49\u52d5\uff0c\u5176\u5bec\u5ea6\u6c38\u9060\u4e0d\u8b8a\uff0c\u5247\u7a31\u4e4b<\/strong>\u3002\u6240\u8b02\u300c\u5bec\u5ea6\u300d\u662f\u6307\u5e73\u884c\u7dda\u593e\u4f4f\u67d0\u5c01\u9589\u66f2\u7dda\u6642\uff0c\u5e73\u884c\u7dda\u9593\u7684\u8ddd\u96e2\u5373\u662f\u3002\u7c21\u55ae\u8aaa\u4f86\uff0c\u82e5\u4ee5\u6046\u5bec\u66f2\u7dda\u4f5c\u70ba\u8f2a\u5b50\uff0c\u4e26\u5728\u5176\u4e0a\u653e\u7f6e\u677f\u5b50\uff0c\u5247\u4e58\u5ba2\u65bc\u4e0a\u982d\u4e26\u4e0d\u6703\u985b\u7c38\uff1b\u53cd\u4e4b\uff0c\u82e5\u5176\u975e\u6046\u5bec\u66f2\u7dda\uff0c\u5247\u7576\u8f2a\u5b50\u8f49\u52d5\u6642\u677f\u5b50\u9593\u7684\u5bec\u5ea6\u5c31\u6539\u8b8a\u4e86\uff0c\u4e58\u5ba2\u60f3\u5fc5\u975e\u5e38\u6688\u7729\uff1b\u8209\u4f8b\u4f86\u8aaa\u82e5\u7528\u68af\u5f62\u7576\u8f2a\u5b50\uff0c\u56e0\u70ba\u4e00\u8f49\u52d5\u677f\u5b50\u9593\u7684\u5bec\u5ea6\u5c31\u8b8a\u4e86\uff0c\u6240\u4ee5\u68af\u5f62\u4e0d\u662f\u6046\u5bec\u66f2\u7dda\u3002<!--more--><br \/>\n<a href=\"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/wp-content\/uploads\/2011\/08\/Curve-of-Constant-Width-1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-35138\" title=\"Curve of Constant Width-1\" src=\"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/wp-content\/uploads\/2011\/08\/Curve-of-Constant-Width-1.jpg\" alt=\"\" width=\"313\" height=\"148\" \/><\/a><\/p>\n<p>\u7531\u4ee5\u4e0a\u5b9a\u7fa9\u6211\u5011\u53ef\u4ee5\u7c21\u55ae\u63a8\u77e5\u5713\u662f\u6046\u5bec\u66f2\u7dda\uff0c\u53cd\u4e4b\u6b63\u65b9\u5f62\u5247\u4e0d\u662f\u6046\u5bec\u66f2\u7dda\uff1b\u90a3\u9ebc\uff0c\u662f\u4e0d\u662f\u53ea\u6709\u5713\u662f\u6046\u5bec\u66f2\u7dda\u5462\uff1f\u5373\u662f\u4e0d\u662f\u53ea\u6709\u5713\u5f62\u8f2a\u5b50\u4e0d\u6703\u4f7f\u4e58\u5ba2\u985b\u7c38\uff1f<\/p>\n<p><strong><span style=\"color: #000080;\">\u7f85\u52d2\u65af\u4e09\u89d2\u5f62<\/span><\/strong><\/p>\n<p>\u4ee5\u4e0a\u554f\u984c\u7684\u7b54\u6848\u662f\u5426\u5b9a\u7684\uff0c\u4e8b\u5be6\u4e0a\uff0c\u6709\u7121\u9650\u591a\u7a2e\u6046\u5bec\u66f2\u7dda\uff0c\u5728\u6b64\u53ea\u8209\u4e00\u500b\u6700\u7c21\u55ae\u7684\u4f8b\u5b50\u300c\u7f85\u52d2\u65af\u4e09\u89d2\u5f62\uff08Reuleaux Triangle\uff09\u300d\u70ba\u8b80\u8005\u8aaa\u660e\u3002<\/p>\n<p>\u300c\u7f85\u52d2\u65af\u4e09\u89d2\u5f62\u300d\u662f\u7531\u6b63\u4e09\u89d2\u5f62\u884d\u751f\u7684\uff0c\u5b83\u4e26\u4e0d\u662f\u4e09\u89d2\u5f62\u3002\u82e5\u6211\u5011\u4ee5\u6b63\u4e09\u89d2\u5f62\u908a\u9577\u70ba\u534a\u5f91\uff0c\u4e26\u4ee5\u5404\u500b\u9802\u9ede\u70ba\u5713\u5fc3\u756b\u5f27\uff0c\u5982\u4e0b\u5716\u5de6\uff0c\u5247\u7531 $$AB$$ \u5f27\u3001$$BC$$ \u5f27\u3001$$AC$$ \u5f27\u570d\u6210\u7684\u5f62\u72c0\u5373\u70ba\u7f85\u52d2\u65af\u4e09\u89d2\u5f62\u3002<\/p>\n<p>\u82e5\u4ee5\u7f85\u52d2\u65af\u4e09\u89d2\u5f62\u70ba\u8f2a\u5b50\uff0c\u5728\u5176\u4e0a\u653e\u7f6e\u677f\u5b50\uff0c\u5247\u677f\u5b50\u548c\u5730\u9762\u4e4b\u9593\u7684\u8ddd\u96e2\u6c38\u9060\u90fd\u662f\u539f\u6b63\u4e09\u89d2\u5f62\u7684\u908a\u9577\uff0c\u5982\u4e0b\u5716\u53f3\uff0c\u6545\u7f85\u52d2\u65af\u4e09\u89d2\u5f62\u70ba\u4e00\u6046\u5bec\u66f2\u7dda\u3002<\/p>\n<p>\u7531\u7f85\u52d2\u65af\u4e09\u89d2\u5f62\u53ef\u88fd\u9020\u51fa\u4e00\u7a2e\u947d\u982d\uff0c\u9019\u7a2e\u947d\u982d\u53ef\u4ee5\u947d\u51fa\u6b63\u65b9\u5f62\u5b54\u3002\u53e6\u5916\uff0c\u6709\u8208\u8da3\u7684\u4eba\u53ef\u4ee5\u81ea\u5df1\u52d5\u624b\u505a\u56db\u500b\u7f85\u52d2\u65af\u4e09\u89d2\u5f62\uff0c\u4e26\u4ee5\u539f\u6b63\u4e09\u89d2\u5f62\u7684\u91cd\u5fc3\u70ba\u8f2a\u8ef8\uff0c\u5728\u5176\u4e0a\u653e\u7f6e\u677f\u5b50\u6efe\u52d5\uff0c\u5c07\u6703\u767c\u73fe\u677f\u5b50\u59cb\u7d42\u5e73\u7a69\u3002<\/p>\n<p><a href=\"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/wp-content\/uploads\/2011\/08\/Curve-of-Constant-Width-2.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-35140\" title=\"Curve of Constant Width-2\" src=\"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/wp-content\/uploads\/2011\/08\/Curve-of-Constant-Width-2.jpg\" alt=\"\" width=\"644\" height=\"231\" \/><\/a><\/p>\n<p style=\"text-align: left;\"><strong><span style=\"color: #000080;\">\u842c\u4e2d\u9078\u4e00\u7684\u5713<\/span><\/strong><\/p>\n<p style=\"text-align: left;\">\u9019\u9ebc\u4e00\u4f86\uff0c\u5f88\u81ea\u7136\u5c31\u6703\u884d\u4f38\u51fa\u53e6\u4e00\u500b\u554f\u984c\uff1a\u70ba\u4ec0\u9ebc\u8f2a\u5b50\u4e0d\u505a\u6210\u7f85\u52d2\u65af\u4e09\u89d2\u5f62\uff1f\u7b46\u8005\u5728\u4ecb\u7d39\u5b8c\u7f85\u52d2\u65af\u4e09\u89d2\u5f62\u4ee5\u5f8c\uff0c\u5e7e\u4e4e\u6bcf\u500b\u73ed\u7d1a\u90fd\u6709\u5b78\u751f\u4e3b\u52d5\u63d0\u51fa\u9019\u500b\u7591\u554f\uff0c\u6700\u76f4\u89ba\u7684\u539f\u56e0\u662f\u7f85\u52d2\u65af\u4e09\u89d2\u5f62\u611f\u89ba\u4e0a\u6bd4\u5713\u5f62\u96e3\u505a\u591a\u4e86\uff0c\u7136\u800c\uff0c\u80cc\u5f8c\u9084\u6709\u66f4\u91cd\u8981\u7684\u539f\u56e0\uff0c\u8b93\u6211\u5011\u56de\u5230\u8f2a\u5b50\u8207\u677f\u5b50\u7684\u554f\u984c\uff0c\u5728\u5be6\u969b\u751f\u6d3b\u88e1\u677f\u5b50\u4e26\u4e0d\u662f\u76f4\u63a5\u653e\u5728\u8f2a\u5b50\u4e0a\u65b9\uff0c\u800c\u662f\u653e\u5728\u300c\u8f2a\u8ef8\u300d\u4e0a\uff0c\u6240\u4ee5\u6211\u5011\u5c0d\u8f2a\u5b50\u7684\u8981\u6c42\u4e26\u4e0d\u50c5\u6b62\u65bc\u300c\u6046\u5bec\u300d\uff0c\u800c\u61c9\u8a72\u662f\u300c\u5b58\u5728\u4e00\u9ede\uff08\u8f2a\u8ef8\uff09\uff0c\u4f7f\u5f97\u6efe\u52d5\u4e2d\u4efb\u4e00\u8207\u5730\u9762\u63a5\u89f8\u7684\u9ede\u8207\u4e4b\u8ddd\u96e2\u6046\u70ba\u5b9a\u503c\u300d\uff0c\u4e0d\u96e3\u767c\u73fe\uff0c\u5373\u70ba\u5713\u7684\u5b9a\u7fa9\u3002<\/p>\n<p style=\"text-align: left;\">\u7f85\u52d2\u65af\u4e09\u89d2\u5f62\u6c92\u6709\u4ee5\u4e0a\u7684\u6027\u8cea\uff0c\u53ea\u6709\u5713\u6709\u9019\u500b\u7279\u6027\uff0c\u8eab\u70ba\u4e00\u500b\u6578\u5b78\u4eba\uff0c\u5713\u7684\u5b9a\u7fa9\u60f3\u5fc5\u65e9\u5df2\u719f\u6089\uff0c\u4ee5\u4e0b\u7d66\u51fa\u5e7e\u500b\u8aaa\u6cd5\uff0c\u7531\u5b57\u591a\u81f3\u5b57\u5c11\u6392\u5217\uff1a<\/p>\n<ul>\n<li>\u4e00\u689d\u7dda\u69cb\u6210\u7684\u5e73\u9762\u5716\u5f62\uff1b\u4f7f\u5f97\u5e73\u9762\u4e0a\u6709\u4e00\u9ede\uff0c\u9019\u9ede\u5230\u8a72\u5716\u5f62\u4e0a\u4efb\u4e00\u9ede\u6240\u9023\u4e4b\u76f4\u7dda\u6bb5\u9577\u5ea6\u76f8\u7b49\u3002<\/li>\n<li>\u5713\uff0c\u4e00\u4e2d\u540c\u9577\u4e5f\u3002\uff08\u58a8\u5b50\uff09<\/li>\n<li>$$\\overline{OP}=r$$ \uff08\u5982\u5716\uff09<a href=\"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/wp-content\/uploads\/2011\/08\/Curve-of-Constant-Width-32.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-35148\" title=\"Curve of Constant Width-3\" src=\"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/wp-content\/uploads\/2011\/08\/Curve-of-Constant-Width-32.jpg\" alt=\"\" width=\"228\" height=\"217\" \/><\/a><\/li>\n<\/ul>\n<p>\u770b\u8457\u4ee5\u4e0a\u7c21\u55ae\u7684\u5713\u5b9a\u7fa9\uff0c\u518d\u52a0\u4e0a\u4e86\u89e3\u4ec0\u9ebc\u662f\u6046\u5bec\u66f2\u7dda\uff0c\u4e0d\u77e5\u9053\u6709\u5426\u66f4\u611f\u53d7\u5230\u5713\u5b9a\u7fa9\u7684\u7cbe\u5999\uff0c\u7562\u7adf\u53ea\u7528\u300c\u6046\u5bec\u300d\u5b9a\u7fa9\u5713\u9084\u4e0d\u5920\u5462\uff01<\/p>\n<p><strong>\u53c3\u8003\u8cc7\u6599<\/strong>\uff1a<\/p>\n<ol>\n<li>\u845b\u767b\u80fd\u3002\u8a6d\u8ad6\u3001\u92ea\u78c1\u78da\u3001\u6ce2\u7f85\u7c73\u6b50\u74b0\u3002\u53f0\u5317\u5e02\uff1a\u5929\u4e0b\u3002<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>\u6046\u5bec\u66f2\u7dda\uff08Curve of Constant Width\uff09 \u53f0\u5317\u5e02\u7acb\u5927\u76f4\u9ad8\u7d1a\u4e2d\u5b78\u6578\u5b78\u79d1\u9ad8\u5b50\u5a77\u8001\u5e2b\/\u570b\u7acb\u53f0\u7063\u5927\u5b78&hellip;<\/p>\n","protected":false},"author":50,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[226,111],"tags":[928,3815,3816],"class_list":["post-35137","post","type-post","status-publish","format-standard","hentry","category-math04-02","category-mathematics00","tag-928","tag-3815","tag-reuleaux-triangle","loop-entry","cat-226","cat-111","no-thumbnail"],"views":4472,"_links":{"self":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/35137","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/users\/50"}],"replies":[{"embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/comments?post=35137"}],"version-history":[{"count":1,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/35137\/revisions"}],"predecessor-version":[{"id":88026,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/35137\/revisions\/88026"}],"wp:attachment":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/media?parent=35137"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/categories?post=35137"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/tags?post=35137"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}