{"id":20085,"date":"2011-01-27T13:41:24","date_gmt":"2011-01-27T05:41:24","guid":{"rendered":"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/?p=20085"},"modified":"2021-10-06T16:28:59","modified_gmt":"2021-10-06T08:28:59","slug":"%e6%a9%a2%e5%9c%93%e8%a6%8f%ef%bc%88ellipsograph%ef%bc%89","status":"publish","type":"post","link":"http:\/\/localhost\/%e6%a9%a2%e5%9c%93%e8%a6%8f%ef%bc%88ellipsograph%ef%bc%89\/","title":{"rendered":"\u6a62\u5713\u898f\uff08Ellipsograph\uff09"},"content":{"rendered":"

\u6a62\u5713\u898f\uff08Ellipsograph\uff09<\/span>
\n\u53f0\u5317\u5e02\u7acb\u5927\u76f4\u9ad8\u7d1a\u4e2d\u5b78\u6578\u5b78\u79d1\u9ad8\u5b50\u5a77\u8001\u5e2b\u2215\u570b\u7acb\u53f0\u7063\u5927\u5b78\u6578\u5b78\u7cfb\u7fc1\u79c9\u4ec1\u6559\u6388\u8cac\u4efb\u7de8\u8f2f<\/span><\/strong><\/p>\n

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\"\"<\/a><\/p>\n

\u5229\u7528\u53c3\u6578\u5f0f\u7684\u6a62\u5713\u898f<\/span><\/p>\n

\u53e6\u4e00\u7a2e\u88fd\u9020\u6a62\u5713\u898f\u7684\u65b9\u6cd5\u662f\u5229\u7528\u53c3\u6578\u5f0f\uff0c\u7c21\u5716\u5982\u4e0b\uff0c\u5176\u4e2d\u898f\u81c2 \\(\\overline{AP}=a\\)\uff0c\\(\\overline{BP}=b\\)\uff0c\\(P\\) \u9ede\u70ba\u7b46\u5c16\u6240\u5728\u4f4d\u7f6e\uff1b\u756b\u6a62\u5713\u6642\u5148\u56fa\u5b9a\u5341\u5b57\u5e95\u5ea7\uff0c\u8abf\u6574 \\(B\\) \u9ede\u4f4d\u7f6e\u5f8c\u5c07\u4e4b\u9396\u7dca\u5728\u898f\u81c2\u4e0a\uff0c\u5373\u53ef\u958b\u59cb\u65cb\u8f49\u898f\u81c2\uff0c\u65cb\u8f49\u540c\u6642 \\(A\\) \u9ede\u4fdd\u6301\u5728\u7e31\u8ef8\u6ed1\u52d5\u3001\\(B\\) \u9ede\u4fdd\u6301\u5728\u6a6b\u8ef8\u6ed1\u52d5\uff0c\u7576\u898f\u81c2\u8f49\u5b8c \\(360^\\circ\\)\u6642\uff0c\\(P\\) \u9ede\u7684\u8ecc\u8de1\u5373\u70ba\u6a62\u5713\uff0c\u4e14\u6b64\u6a62\u5713\u7684\u534a\u9577\u8ef8\u70ba \\(a\\)\u3001\u534a\u77ed\u8ef8\u9577\u70ba \\(b\\)\u3002<\/p>\n

\"\"<\/a><\/p>\n

\u7c21\u55ae\u8aaa\u660e\u6b64\u8ecc\u8de1\u70ba\u6a62\u5713\uff1a<\/span><\/p>\n

\u82e5\u4ee5\u5341\u5b57\u4e2d\u592e\u70ba\u539f\u9ede\uff0c\u5341\u5b57\u6a6b\u5411\u70ba \\(x\\) \u8ef8\u3001\u7e31\u5411\u70ba \\(y\\) \u8ef8\u67b6\u4e00\u76f4\u89d2\u5750\u6a19\u7cfb\uff0c\u4e26\u8a2d \\(\\theta\\) \u70ba\u4ee5 \\(x\\) \u8ef8\u70ba\u59cb\u908a\u3001\u898f\u81c2 \\(\\overline{AP}\\) \u70ba\u7d42\u908a\u4e4b\u5ee3\u7fa9\u89d2\uff0c\u4e0d\u96e3\u770b\u51fa \\(P\\) \u9ede\u5750\u6a19\u70ba \\((a\\cos\\theta,b\\sin\\theta)\\)\uff0c\u5373\u65b9\u7a0b\u5f0f\u70ba \\(\\frac{x^2}{a^2}+\\frac{y^2}{b^2}=1\\) \u7684\u6a62\u5713\u53c3\u6578\u5f0f\u3002\u5176\u4e2d \\(a\\) \u70ba\u6a62\u5713\u7684\u534a\u9577\u8ef8\u9577\u3001\\(b\\) \u70ba\u534a\u77ed\u8ef8\u9577\u3002<\/p>\n

\"\"<\/a><\/p>\n

\u7db2\u8def\u4e0a\u8a31\u591a\u9019\u985e\u578b\u7684\u6a62\u5713\u898f\uff0c\u5728\u6b64\u63d0\u4f9b\u4e00\u6bb5youtube\u7684\u5f71\u7247\u7d66\u5927\u5bb6\u6b23\u8cde\u3002http:\/\/www.youtube.com\/watch?v=1AeAtP5Hz_Y<\/a><\/p>\n

\u5229\u7528\u5713\u9310\u622a\u75d5\u7684\u6a62\u5713\u898f<\/span><\/p>\n

\u5728\u4e00\u4e5d\u4e5d\u4e5d\u5e74\u5927\u9678\u7684\u79d1\u5b78\u5c55\u89bd\u4e2d\uff0c\u66fe\u7d93\u51fa\u73fe\u53e6\u4e00\u6b3e\u5229\u7528\u5713\u9310\u622a\u75d5\u7684\u6a62\u5713\u898f\uff0c\u5176\u8a2d\u8a08\u6982\u5ff5\u5982\u5716\uff08\u6578\u5b78\u6559\u80b2\u3000\u7b2c\u5341\u4e09\u671f\u300012\/2001\uff09\uff0c\u6bcd\u7dda\u659c\u8457\u56fa\u5b9a\u65bc\u7d19\u5f35\u5f8c\uff0c\u7b46\u6cbf\u8457\u5782\u76f4\u6bcd\u7dda\u7684\u5713\u76e4\u756b\u4e00\u5708\uff0c\u5373\u80fd\u756b\u51fa\u6a62\u5713\uff1b\u6b64\u756b\u6cd5\u7c21\u6f54\u6709\u529b\uff0c\u4e0d\u904e\u7d30\u5fc3\u7684\u4eba\u6216\u8a31\u6ce8\u610f\u5230\uff0c\u7b46\u81c2\u7684\u9577\u5ea6\u5728\u756b\u7684\u904e\u7a0b\u4e2d\u5fc5\u9808\u4e0d\u65b7\u6539\u8b8a\uff0c\u6240\u4ee5\u9019\u5927\u6982\u662f\u70ba\u4ec0\u9ebc\u6211\u5011\u6bd4\u8f03\u770b\u4e0d\u5230\u6b64\u7a2e\u6a62\u5713\u898f\u3002\u60f3\u770b\u7b46\u81c2\u4f38\u7e2e\u756b\u6a62\u5713\u7684\u793a\u610f\u52d5\u756b\uff0c\u53ef\u4e0a\u7db2\u89c0\u770byoutube\u7684\u5f71\u7247\u00a0http:\/\/www.youtube.com\/watch?v=46duczd1d6U<\/a>\u3002<\/p>\n

\"\"<\/a><\/p>\n

\u5176\u4ed6\u985e\u578b\u7684\u6a62\u5713\u898f<\/span><\/p>\n

\u5beb\u904e\u5713\u9310\u66f2\u7dda\u7df4\u7fd2\u984c\u7684\u4eba\u90fd\u77e5\u9053\uff0c\u8a31\u591a\u7a2e\u300c\u8ecc\u8de1\u300d\u984c\u76ee\u7684\u7b54\u6848\u90fd\u662f\u6a62\u5713\uff0c\u6bcf\u4e00\u7a2e\u7406\u8ad6\u4e0a\u90fd\u80fd\u767c\u5c55\u6210\u6a62\u5713\u898f\uff1b\u6700\u5f8c\u63d0\u4f9b\u5169\u500b\u6709\u8da3\u7684\u6a62\u5713\u898f\uff0c\u5176\u4e00\u662f\u5229\u7528\u5713\u7684\u5167\u64fa\u7dda\uff0c\u5728\u6b64\u63d0\u4f9byoutube\u9023\u7d50\uff0chttp:\/\/www.youtube.com\/watch?v=AgQZlfIvM1Y<\/a>\uff1b\u5176\u4e8c\u662f\u6bdb\u723e\u5728\u300c\u6bdb\u8d77\u4f86\u8aaa\u4e09\u89d2\u300d\u756b\u88e1\u63d0\u5230\u7684Brown\u2019s Ellipsograph\uff0c\u4e5f\u975e\u5e38\u795e\u5947\uff0c\u6709\u8208\u8da3\u7684\u4eba\u53ef\u4ee5\u53c3\u8003\u81fa\u5317\u5e02\u5927\u540c\u9ad8\u4e2d\u5433\u65b0\u5409\u8001\u5e2b\u7684\u6587\u7ae0—\u300c\u4e00\u4ef6\u795e\u5947\u7684Brown\u2019s Ellipsograph\u6a62\u5713\u898f\u300d\u3002<\/p>\n

\"\"<\/a><\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"

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