{"id":2959,"date":"2010-09-01T16:19:41","date_gmt":"2010-09-01T08:19:41","guid":{"rendered":"http:\/\/pylin.kaishao.idv.tw\/?p=2959"},"modified":"2010-09-08T10:16:43","modified_gmt":"2010-09-08T02:16:43","slug":"%e8%b2%bb%e4%bc%af%e7%b4%8d%e8%a5%bf%e6%95%b8%e5%88%97%e7%9a%84%e5%b9%be%e4%bd%95%e8%a1%a8%e7%a4%ba%e6%b3%95","status":"publish","type":"post","link":"https:\/\/pylin.kaishao.idv.tw\/?p=2959","title":{"rendered":"\u8cbb\u4f2f\u7d0d\u897f\u6578\u5217\u7684\u5e7e\u4f55\u8868\u793a\u6cd5"},"content":{"rendered":"<p style=\"text-align: center\"><a target=\"_blank\" href=\"http:\/\/pylin.kaishao.idv.tw\/wp-content\/uploads\/2008\/02\/sunflower1.jpg\"><img decoding=\"async\" vspace=\"10\" width=\"600\" src=\"http:\/\/pylin.kaishao.idv.tw\/wp-content\/uploads\/2008\/02\/sunflower1.jpg\" hspace=\"10\" alt=\"sunflower1.jpg\" \/><\/a><\/p>\n<p>\u81ea\u8cbb\u6c0f\u5b63\u520a\uff08The Fibonacci Quarterly\uff09\u520a\u884c\u4e4b\u5f8c\uff0c\u7528\u5e7e\u4f55\u5716\u5f62\u4f86\u8868\u73fe\u8cbb\u4f2f\u7d0d\u897f\u6578\u5217\u7684\u5947\u5999\u6027\u8cea\uff0c\u5176\u5f15\u4eba\u7684\u984c\u6750\u4e00\u76f4\u4e0d\u65b7\u5730\u51fa\u73fe\u3002\u672c\u6587\u5c07\u5148\u7531\u72f9\u7fa9\u7684\u8cbb\u6c0f\u6578\u5217\u5efa\u7acb\u5176\u8207\u5e7e\u4f55\u5716\u5f62\u7684\u95dc\u4fc2\uff0c\u7136\u5f8c\u628a\u6b64\u95dc\u4fc2\u63a8\u5c55\u81f3\u8def\u5361\u65af\u6578\u5217\uff0c\u4ee5\u81f3\u65bc\u5ee3\u7fa9\u7684\u8cbb\u6c0f\u6578\u5217\u3002<\/p>\n<p><!--more-->\u8cbb\u6c0f\u6578\u5217\uff08\u72f9\u7fa9\uff09\u662fF1=1,F2=1,F3=F1+F2=2,&#8230;&#8230;,Fn=Fn-2+Fn-1\uff0c\u9019\u6578\u5217\u53ef\u7528\u5716\u4e00\u4e4b\u6298\u78ec\u5f62\u9762\u7a4d\u4f86\u8868\u793a\uff0c\u5176\u4e2dF2n\u3001F2n+1\u7684\u4e00\u822c\u8868\u6cd5\u53ef\u7531\u6578\u5b78\u6b78\u7d0d\u6cd5\u6c42\u5f97\u3002\u6240\u8b02\u6298\u78ec\u5f62\uff08gnomon\uff09\u5c31\u662f\u5728\u6b63\u65b9\u5f62\uff08\u77e9\u5f62\u6216\u5e73\u884c\u56db\u908a\u5f62\uff09\u4e2d\u4efb\u4e00\u89d2\uff0c\u5207\u53bb\u4e00\u8f03\u5c0f\u4e4b\u6b63\u65b9\u5f62\uff08\u77e9\u5f62\u6216\u5e73\u884c\u56db\u908a\u5f62\uff09\u5f8c\u6240\u5269\u9918\u4e4b\u5716\u5f62\u3002\u6b64\u5f62\u72c0\u5982\u6728\u5320\u7684\u5c48\u5c3a\uff0c\u5728\u7562\u9054\u6b4c\u62c9\u65af\u6642\u4ee3\uff0c\u6728\u5320\u7684\u5c48\u5c3a\u5c31\u7a31\u70ba\u6728\u5320\u5c3agnomon\u3002<\/p>\n<p>\u5ba4\u5167\u88dd\u6f62\u6728\u5de5\u7528\u5c3a\uff1a\u53f0\u8a9e\u53eb\u300c\u89d2\u5c3a\u300d\u53c8\u53eb\u300c\u9285\u5c3a\u300d\u3002\u92fc\u677f\u6216\u5408\u91d1\u92fc\u677f\u6216\u9285\u677f\u88fd\u523b\u3002\u7528\u65bc\u5b9a\u76f4\u89d2\u3001\u5283\u7dda\u505a\u8a18\u3001\u53d6\u9577\u7b49\u3002\u6728\u4f5c\u5fc5\u5099\u5de5\u5177\u4e4b\u4e00\u3002\u88dd\u4fee\u6728\u5320\u6240\u7528\u4e4b\u89d2\u5c3a\u63a1\u7528\u53f0\u5c3a\u523b\u5ea6\uff0c\u53e6\u9762\u5247\u70ba\u516c\u5206\u523b\u5ea6\uff0c\u4ea6\u6709\u5c07\u516c\u5206\u6539\u70ba\u6587\u516c\u5c3a\u7684\u3002\u53e6\u4e8c\u7a2e\u8f03\u5c0f\u578b\u4e4b\u89d2\u5c3a\uff0c\u4e00\u70ba\u5c08\u7528\u65bc\u53d6\u76f4\u89d2\u4e4b\u300c\u5c48\u5c3a\u300d\uff0c\u4e00\u70ba\u53d645\u5ea6\u5207\u89d2\u4e4b\u300c\u5207\u89d2\u677f\u300d\u3002<\/p>\n<p style=\"text-align: center\"><img decoding=\"async\" src=\"http:\/\/pylin.kaishao.idv.tw\/wp-content\/uploads\/2010\/09\/101.JPG\" alt=\"101.JPG\" \/><\/p>\n<p>\u7b2cm\u500b\u8cbb\u6c0f\u6578\u7684\u6298\u78ec\u5f62\uff0c\u7a31\u70baFm&#8211;\u6298\u78ec\u5f62\uff08F0&#8211;\u6298\u78ec\u5f62\u70ba\u7a7a\u767d\uff0c\u5176\u9762\u7a4d\u70ba0\uff09\u3002\u5716\u4e00\u6700\u4e0b\u908a\u5169\u5716\u4e2d\uff0c\u6298\u78ec\u5f62\u7684\u908a\u9577\u95dc\u4fc2\u4e5f\u8868\u51fa\u8cbb\u6c0f\u6578\u5217\u7684\u7279\u6027\uff1a<\/p>\n<p style=\"text-align: center\"><img decoding=\"async\" src=\"http:\/\/pylin.kaishao.idv.tw\/wp-content\/uploads\/2010\/09\/11.JPG\" alt=\"11.JPG\" \/><\/p>\n<p>\u5716\u4e00\u5de6\u908a\u662f\u908a\u9577\u70baFn+1\u7684\u65b9\u5f62\u6e1b\u53bb\u908a\u9577\u70baFn-1\u7684\u65b9\u5f62\u5f8c\u6240\u5f62\u6210\u7684F2n-\u6298\u78ec\u5f62\uff0c\u6240\u4ee5F2n-\u6298\u78ec\u5f62\u7684\u9762\u7a4d\u5c31\u662f\u6b64\u5169\u65b9\u5f62\u9762\u7a4d\u4e4b\u5dee<\/p>\n<p 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src=\"http:\/\/pylin.kaishao.idv.tw\/wp-content\/uploads\/2010\/09\/8.JPG\" alt=\"8.JPG\" \/><\/p>\n<p>\u6211\u5011\u6ce8\u610f\u5230Fm+2-\u6298\u78ec\u5f62\u53ef\u5206\u89e3\u70baFm+1-\u6298\u78ec\u5f62\u53caFm-\u6298\u78ec\u5f62\uff0c\u800c\u8f03\u5927\u8005\uff08\u5373Fm+1-\u6298\u78ec\u5f62\uff09\u53c8\u53ef\u5206\u89e3\u70baFm\u53caFm-1\u6298\u78ec\u5f62\uff0c\u5206\u89e3\u5f8c\u4e4b\u8f03\u5927\u8005\uff08\u5373Fm-\u6298\u78ec\u5f62\uff09\u53c8\u53ef\u5206\u89e3\u70baFm-1\u53caFm-2\u6298\u78ec\u5f62\uff0c\u7e7c\u7e8c\u9019\u7a2e\u7a0b\u5e8f\uff0c\u6211\u5011\u53ef\u4ee5\u628aFm+2\u6298\u78ec\u5f62\uff0c\u8b8a\u5f62\u70baFj(j=1,2,&#8230;&#8230;m)\u6298\u78ec\u5f62\u4e4b\u87ba\u65cb\u5f62\u53ca\u4e00\u9644\u52a0\u7684\u55ae\u4f4d\u65b9\u5f62\uff08\u898b\u5716\u4e09\uff09\u3002<\/p>\n<p style=\"text-align: center\"><img decoding=\"async\" src=\"http:\/\/pylin.kaishao.idv.tw\/wp-content\/uploads\/2010\/09\/301.JPG\" alt=\"301.JPG\" 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src=\"http:\/\/pylin.kaishao.idv.tw\/wp-content\/uploads\/2010\/09\/401.JPG\" alt=\"401.JPG\" \/><\/p>\n<p>\u5f9e\u5716\u56db\u4e4b\u53f3\u534a\u5e73\u9762\u53ca\u7b2c\u4e8c\u8c61\u9650F2n\u00d7F2n\u4e4b\u65b9\u5f62\u4e2d\uff0c\u53ef\u4ee5\u627e\u5230\u4ee3\u8868\u76f8\u540c\u9762\u7a4d\u7684\u4e0d\u540c\u659c\u7dda\u90e8\u5206\u3002\u56e0\u6b64<\/p>\n<p style=\"text-align: center\"><img decoding=\"async\" src=\"http:\/\/pylin.kaishao.idv.tw\/wp-content\/uploads\/2010\/09\/1819.JPG\" alt=\"1819.JPG\" \/><\/p>\n<p>\u9ed1\u8272\u65b9\u584a\u5728\u9019\u4e9b\u5e7e\u4f55\u95dc\u4fc2\u63a8\u6f14\u4e2d\uff0c\u626e\u6f14\u4e00\u6709\u8da3\u7684\u89d2\u8272\u3002<\/p>\n<p>\u4e0a\u9762\u6240\u7528\u65b9\u6cd5\u53ef\u4ee5\u63a8\u5c55\u5230\u5ee3\u7fa9\u7684\u8cbb\u6c0f\u6578\u5217\uff0cT1=P T2=q,T3=T1+T2=p + q, &#8230;,Tm=Tm-2+Tm-1,\uff0cp\u3001q\u70ba\u6b63\u6574\u6578\uff0c\u5176\u76f8\u61c9\u7684Tm-\u6298\u78ec\u5f62\u53ef\u4ee5\u5f9e\u5716\u4e94\u770b\u51fa\u4f86\u3002<\/p>\n<p style=\"text-align: center\"><img decoding=\"async\" src=\"http:\/\/pylin.kaishao.idv.tw\/wp-content\/uploads\/2010\/09\/501.JPG\" alt=\"501.JPG\" \/><\/p>\n<p>\u4e0b\u5217\u662f\u5f9e\u5716\u4e94\u53ef\u5f97\u7684\u4e00\u4e9b\u5ee3\u7fa9\u8cbb\u6c0f\u6578\u5217\u4e4b\u6052\u7b49\u5f0f\uff0c<\/p>\n<p style=\"text-align: center\"><img decoding=\"async\" src=\"http:\/\/pylin.kaishao.idv.tw\/wp-content\/uploads\/2010\/09\/601.JPG\" alt=\"601.JPG\" \/><\/p>\n<p>\u5716\u516d\u662f\u8def\u5361\u65af\u6578\u5217\uff08p=1,q=3\uff09\u6240\u5f62\u6210\u4e4b\u87ba\u65cb\u5f62\uff0c\u7531\u6b64\u5716\u5f88\u5bb9\u6613\u8b49\u660e\u4e0b\u5217\u6052\u7b49\u5f0f<\/p>\n<p>\u5ee3\u7fa9\u8cbb\u6c0f\u6578\u5217\u5247\u6709<\/p>\n<p style=\"text-align: center\"><img decoding=\"async\" src=\"http:\/\/pylin.kaishao.idv.tw\/wp-content\/uploads\/2010\/09\/w0068b.JPG\" alt=\"w0068b.JPG\" \/><\/p>\n<p>\u6052\u7b49\u5f0f(24)\uff0c\u53ef\u7531q\u00d71\u9ed1\u77e9\u5f62\u958b\u59cb\uff0c\u800c\u5efa\u7acb\u4e00\u9023\u4e32\u7684Tm-\u6298\u78ec\u5f62\u3002<\/p>\n<p>\u6700\u5f8c\uff0c\u672c\u6587\u4ee5\u7814\u7a76\u8cbb\u6c0f\u6578\u5217\u7684\u540d\u5bb6\u5e03\u9b6f\u897f\u5967\uff08A. Brousseau\uff09\u6240\u8aaa\u7684\u4e00\u53e5\u8a71\uff1a\u300c\u5728\u8cbb\u6c0f\u6578\u5217\u8207\u5e7e\u4f55\u95dc\u4fc2\u4e2d\uff0c\u4e00\u5b9a\u6709\u5f88\u591a\u5145\u5be6\u800c\u503c\u5f97\u767c\u73fe\u7684\u6750\u6599\u3002\u300d\u4f5c\u70ba\u7d50\u675f\u3002<\/p>\n<p>\u672c\u6587\u6539\u5beb\u81eaD. W. De Temple, &#8220;A New Angle on the Geometry of the Fibonacci Number&#8221;, Fibonacci Quarterly, 1981\uff09<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u81ea\u8cbb\u6c0f\u5b63\u520a\uff08The Fibonacci Quarterly\uff09\u520a\u884c\u4e4b\u5f8c\uff0c\u7528\u5e7e\u4f55\u5716\u5f62\u4f86\u8868\u73fe\u8cbb\u4f2f\u7d0d\u897f\u6578\u5217\u7684\u5947\u5999\u6027\u8cea\uff0c [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7,16,1],"tags":[],"class_list":["post-2959","post","type-post","status-publish","format-standard","hentry","category-7","category-16","category-1"],"_links":{"self":[{"href":"https:\/\/pylin.kaishao.idv.tw\/index.php?rest_route=\/wp\/v2\/posts\/2959","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=2959"}],"version-history":[{"count":0,"href":"https:\/\/pylin.kaishao.idv.tw\/index.php?rest_route=\/wp\/v2\/posts\/2959\/revisions"}],"wp:attachment":[{"href":"https:\/\/pylin.kaishao.idv.tw\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2959"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pylin.kaishao.idv.tw\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2959"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pylin.kaishao.idv.tw\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2959"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}