{"id":53,"date":"2020-12-01T23:41:58","date_gmt":"2020-12-01T15:41:58","guid":{"rendered":"https:\/\/www.fibonance.com\/?page_id=53"},"modified":"2020-12-03T15:03:24","modified_gmt":"2020-12-03T07:03:24","slug":"shouye","status":"publish","type":"page","link":"https:\/\/www.fibonance.com\/","title":{"rendered":"Fibonance"},"content":{"rendered":"\n

<\/p>\n\n\n\n

\n

Fibo<\/span><\/strong>nacci<\/s>+Fi<\/s>nance<\/span><\/strong>
\u7528\u6590\u6ce2\u90a3\u5951\u6d4b\u7b97\u91d1\u878d\u5e02\u573a<\/h2>\n<\/div><\/div>\n\n\n\n
\"Leonardo<\/figure><\/div>\n\n\n\n

\u8d39\u6ce2\u90a3\u5951\uff0c\u53c8\u79f0\u6bd4\u8428\u7684\u5217\u5965\u7eb3\u591a\uff0c\u6bd4\u8428\u7684\u5217\u5965\u7eb3\u591a\u00b7\u6ce2\u90a3\u5951\uff0c\u5217\u5965\u7eb3\u591a\u00b7\u6ce2\u90a3\u5951\uff0c\u5217\u5965\u7eb3\u591a\u00b7\u8d39\u6ce2\u90a3\u5951\uff0c\u610f\u5927\u5229\u6570\u5b66\u5bb6\uff0c\u897f\u65b9\u7b2c\u4e00\u4e2a\u7814\u7a76\u8d39\u6ce2\u90a3\u5951\u6570\uff0c\u5e76\u5c06\u73b0\u4ee3\u4e66\u5199\u6570\u548c\u4f4d\u503c\u8868\u793a\u6cd5\u7cfb\u7edf\u5f15\u5165\u6b27\u6d32\u3002 \u5217\u5965\u7eb3\u591a\u7684\u7236\u4eb2Guilielmo\uff0c\u5916\u53f7\u6ce2\u90a3\u5951\u3002\u56e0\u6b64\u5217\u5965\u7eb3\u591a\u5c31\u5f97\u5230\u4e86\u5916\u53f7\u8d39\u6ce2\u90a3\u5951\u3002<\/p>\u7ef4\u57fa\u767e\u79d1<\/strong><\/a><\/cite><\/blockquote>\n\n\n\n

\n\n\n\n

<\/p>\n\n\n\n

\n
\n

\u4ec0\u4e48\u662f Fibonacci\uff1f<\/h2>\n\n\n\n

\u6590\u6ce2\u90a3\u5951\u6307\u7684\u662f\u5341\u4e09\u4e16\u7eaa\u6570\u5b66\u5bb6\u83b1\u6602\u7eb3\u591a-\u76ae\u8428\u8bfa\uff08Leonardo Pisano\uff09\u8457\u540d\u7684\u6570\u5b57\u5e8f\u5217\uff0c\u4ed6\u5728\u5176\u8457\u4f5c\u300aLiber Abaci\u300b\uff081228\uff09\u4e2d\u63d0\u51fa\u5e76\u89e3\u91ca\u4e86\u4e00\u4e2a\u4ee3\u6570\u6570\u5b66\u95ee\u9898\u7684\u89e3\u51b3\u65b9\u6848\u3002\u6590\u6ce2\u90a3\u5951\u5e8f\u5217\u53ca\u5176\u5e8f\u6570\u7684\u6bd4\u7387\u88ab\u53d1\u73b0\u8d2f\u7a7f\u4e8e\u81ea\u7136\u3001\u827a\u672f\u3001\u97f3\u4e50\u3001\u751f\u7269\u548c\u5176\u4ed6\u5b66\u79d1\uff0c\u5b83\u4eec\u6784\u6210\u4e86\u6590\u6ce2\u90a3\u5951\u4ea4\u6613\u5de5\u5177\u7684\u57fa\u7840\u3002\u4ea4\u6613\u8005\u5e94\u7528\u8fd9\u4e9b\u6590\u6ce2\u90a3\u5951\u6c34\u5e73\u6765\u5e2e\u52a9\u89e3\u91ca\u5e02\u573a\u884c\u4e3a\uff0c\u5e76\u9694\u79bb\u8f83\u9ad8\u6982\u7387\u7684\u8bbe\u7f6e\u548c\u5e02\u573a\u4e2d\u67a2\u3002<\/p>\n\n\n\n

\u8fd9\u4e2a\u5e8f\u5217\u4ece0\u548c1\u5f00\u59cb\uff0c\u7531\u968f\u540e\u7684\u6570\u5b57\u7ec4\u6210\uff0c\u5176\u4e2d\u7b2cn\u4e2a\u6570\u5b57\u662f\u524d\u4e24\u4e2a\u6570\u5b57\u7684\u603b\u548c\u3002\u5bfb\u627e\u6590\u6ce2\u90a3\u5951\u6570\u7684\u516c\u5f0f\u53ef\u4ee5\u8fd9\u6837\u5199\u3002<\/p>\n\n\n\n

Fn = F(n -1) + F(n -2). \u8d77\u70b9\u662fF1=1\uff0cF2=1\u3002<\/p>\n\n\n\n

\u6590\u6ce2\u90a3\u5951\u6570\u5217\u4e2d\u7684\u6bcf\u4e00\u4e2a\u6570\u5b57\u90fd\u7528\u4e0b\u68071\u30012\u30013\u30014\u6765\u6807\u8bc6\u2026\u2026\uff0c\u4ee5\u8868\u793a\u6211\u4eec\u6240\u8bf4\u7684\u662f\u6570\u5217\u4e2d\u7684\u54ea\u4e00\u4e2a\u9879\u3002\u56e0\u6b64F16\u6307\u7684\u662f\u7b2c\u5341\u516d\u4e2a\u6590\u6ce2\u90a3\u5951\u6570\u3002<\/p>\n\n\n\n

\u6590\u6ce2\u90a3\u5951\u6570\u5217
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811 . . .<\/strong><\/h4>\n<\/div>\n\n\n\n
\n

\u4ec0\u4e48\u662f\u9ec4\u91d1\u6bd4\u4f8b\uff1f<\/h2>\n\n\n\n

\u4e0e\u6590\u6ce2\u90a3\u5951\u6570\u5217\u76f8\u5173\u7684\u662f\u53e6\u4e00\u4e2a\u8457\u540d\u7684\u6570\u5b66\u672f\u8bed\uff1a\u9ec4\u91d1\u6bd4\u7387\u3002\u5f53\u6590\u6ce2\u90a3\u5951\u6570\u5217\u4e2d\u7684\u4e00\u4e2a\u6570\u5b57\u9664\u4ee5\u5b83\u524d\u9762\u7684\u6570\u5b57\u65f6\uff0c\u5546\u672c\u8eab\u5c31\u53d8\u6210\u4e86\u4e00\u4e2a\u7cfb\u5217\uff0c\u5b83\u9075\u5faa\u7740\u4e00\u4e2a\u8ff7\u4eba\u7684\u6a21\u5f0f\uff1a1\/1=1\uff0c2\/1=2\uff0c3\/2=1.5\uff0c5\/3=1.666\u2026\uff0c8\/5=1.6\uff0c13\/8=1.625\uff0c21\/13=1. 61538\uff0c34\/21=1.619\uff0c55\/34=1.6176\u2026\u2026\uff0c89\/55=1.618\u2026\u2026\u524d\u5341\u4e2a\u6bd4\u503c\u63a5\u8fd1\u6570\u503c1.618034\u2026\u2026\u8fd9\u5c31\u662f\u6240\u8c13\u7684 “\u9ec4\u91d1\u6bd4 “\u6216 “\u9ec4\u91d1\u6570”\uff0c\u7528\u5e0c\u814a\u5b57\u6bcdPhi\uff08\u03a6\uff0c\u03c6\uff09\u8868\u793a\u3002\u5728\u524d\u5341\u4e2a\u6bd4\u503c\u4e4b\u540e\uff0c\u5546\u6570\u8d8a\u6765\u8d8a\u63a5\u8fd1Phi\uff0c\u5e76\u4e14\u4f3c\u4e4e\u8981\u8d8b\u8fd1\u4e8e\u5b83\uff0c\u4f46\u6c38\u8fdc\u4e5f\u8fbe\u4e0d\u5230\uff0c\u56e0\u4e3a\u5b83\u662f\u4e00\u4e2a\u65e0\u7406\u6570\u3002Phi\uff08\u03a6\uff09\uff0c1.61803 39887\u2026\u2026\uff0c\u4e5f\u662f\u5c06\u4e00\u6761\u7ebf\u6309\u5e73\u5747\u6570\u548c\u6781\u503c\u6bd4\u5212\u5206\uff0c\u7136\u540e\u5c06\u6574\u6761\u7ebf\u9664\u4ee5\u6700\u5927\u7684\u5e73\u5747\u6570\u90e8\u5206\u6240\u5f97\u5230\u7684\u6570\u5b57\uff1b\u5b83\u7684\u5012\u6570\u662fPhi\uff08\u03c6\uff09\uff0c0.61803 39887\u2026\u2026\uff0c\u662f\u5c06\u4e00\u6761\u7ebf\u7684\u6781\u503c\uff08\u8f83\u5c0f\uff09\u90e8\u5206\u9664\u4ee5\uff08\u8f83\u5927\uff09\u5e73\u5747\u6570\u6240\u5f97\u5230\u7684\u3002\u5728\u4e0b\u56fe\u4e2d\uff0c\u76f4\u7ebf\u7684\u8f83\u5c0f\u90e8\u5206(CB)\u4e0e\u8f83\u5927\u90e8\u5206(AC)\u7684\u6bd4\u503c–\u5373CB\/AC–\u4e0e\u8f83\u5927\u90e8\u5206AC\u4e0e\u6574\u6761\u76f4\u7ebfAB\u7684\u6bd4\u503c\u76f8\u540c\u3002\u56e0\u6b64\uff0cCB\/AC=AC\/AB\u3002<\/p>\n\n\n\n

\"Golden<\/figure>\n\n\n\n


\u62ab\u3001\u62ab\u53c8\u79f0\u91d1\u6570\u3001\u91d1\u8282\u3002\u9ec4\u91d1\u6bd4\u7684\u516c\u5f0f\u4e3a F(n) = (x^n – (1-x)^n)\/(x – (1-x))\uff0c\u5176\u4e2dx = (1+sqrt 5)\/2 ~ 1.618 \u9ec4\u91d1\u6bd4\u7387\u4ee3\u8868\u4e86\u4e00\u79cd\u57fa\u672c\u7684\u6570\u5b66\u7ed3\u6784\uff0c\u8fd9\u79cd\u7ed3\u6784\u5728\u6574\u4e2a\u81ea\u7136\u754c\u4e2d\u4f3c\u4e4e\u662f\u666e\u904d\u5b58\u5728\u7684\uff0c\u6709\u4eba\u8bf4\u662f\u65e0\u5904\u4e0d\u5728\u7684\uff0c\u5e76\u88ab\u7528\u4f5c\u4ea4\u6613\u4e2d\u6590\u6ce2\u90a3\u5951\u5de5\u5177\u7684\u57fa\u7840\u3002<\/p>\n<\/div>\n<\/div>\n\n\n\n

\n
\u4e86\u89e3\u66f4\u591a<\/a><\/div>\n<\/div>\n\n\n\n
\n\n\n\n
\n
\n
\n
\"\"\/<\/figure>\n\n\n\n

Fibonacci \u65f6\u95f4\u533a\u95f4\u53ca\u6bd4\u7387<\/h2>\n\n\n\n

\u6590\u6ce2\u90a3\u5951\u56de\u8c03\u7814\u7a76\u7684\u662f\u4ece\u4e2d\u67a2\u5468\u671f\u9ad8\u70b9\u7a81\u7834\u540e\u7684\u4ef7\u683c\u8d70\u52bf\uff0c\u800c\u6590\u6ce2\u90a3\u5951\u5ef6\u4f38\u5219\u662f\u5728\u4ece\u4e2d\u67a2\u5468\u671f\u9ad8\u70b9\u7a81\u7834\u540e\u5efa\u7acb\u76ee\u6807\u4f4d\u3002<\/p>\n\n\n\n

\n
\u66f4\u591a<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n
\n
\"\"\/<\/figure>\n\n\n\n

Fibonacci \u6247\u5f62\u53ca\u5f27\u7ebf<\/h2>\n\n\n\n

\u4e00\u4e2a\u7c7b\u4f3c\u7684\u5de5\u5177\uff0c\u6590\u6ce2\u90a3\u5951\u65f6\u95f4\u6bd4\uff0c\u5728X\u8f74\u4e0a\u5e94\u7528\u540c\u6837\u7684\u6280\u672f\u6765\u6d4b\u91cf\u8de8\u65f6\u95f4\u7684\u6d3b\u52a8\uff0c\u4f46\u6590\u6ce2\u90a3\u5951\u65f6\u95f4\u6bd4\u5e76\u4e0d\u4ea7\u751f\u4e0e\u56fa\u5b9a\u5468\u671f\u76f8\u5173\u7684\u6ce2\u6bb5\uff0c\u800c\u662f\u4ea7\u751f\u5bf9\u5e94\u6590\u6ce2\u90a3\u5951\u6bd4\u7387\u7684\u5782\u76f4\u6ce2\u6bb5\u3002<\/p>\n\n\n\n

\n
\u66f4\u591a<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n
\n
\"\"\/<\/figure>\n\n\n\n

Fibonacci \u5206\u6790\u53ca\u6700\u4f73\u5b9e\u8df5<\/h2>\n\n\n\n

\u6590\u6ce2\u90a3\u5951\u56de\u8c03\u548c\u5ef6\u4f38\u8861\u91cf\u7684\u662f\u4ef7\u683c\u7684\u53d8\u5316\uff08y\u8f74\uff0c\u6c34\u5e73\u5e26\uff09\uff0c\u6590\u6ce2\u90a3\u5951\u65f6\u533a\u548c\u6bd4\u7387\u8861\u91cf\u7684\u662f\u65f6\u95f4\u7684\u53d8\u5316\uff08x\u8f74\uff0c\u5782\u76f4\u5e26\uff09\uff0c\u800c\u6590\u6ce2\u90a3\u5951\u6247\u5f62\u5219\u540c\u65f6\u8861\u91cf\u65f6\u95f4\u548c\u4ef7\u683c\u7684\u53d8\u5316\u3002<\/p>\n\n\n\n

\n
\u66f4\u591a<\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n

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

\u8d39\u6ce2\u90a3\u5951\uff0c\u53c8\u79f0\u6bd4\u8428\u7684\u5217\u5965\u7eb3\u591a\uff0c\u6bd4\u8428\u7684\u5217\u5965\u7eb3\u591a\u00b7\u6ce2\u90a3\u5951\uff0c\u5217\u5965\u7eb3\u591a\u00b7\u6ce2\u90a3\u5951\uff0c\u5217\u5965\u7eb3\u591a\u00b7\u8d39\u6ce2\u90a3\u5951\uff0c\u610f\u5927\u5229\u6570\u5b66\u5bb6\uff0c\u897f\u65b9 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/www.fibonance.com\/index.php\/wp-json\/wp\/v2\/pages\/53"}],"collection":[{"href":"https:\/\/www.fibonance.com\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.fibonance.com\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.fibonance.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fibonance.com\/index.php\/wp-json\/wp\/v2\/comments?post=53"}],"version-history":[{"count":42,"href":"https:\/\/www.fibonance.com\/index.php\/wp-json\/wp\/v2\/pages\/53\/revisions"}],"predecessor-version":[{"id":162,"href":"https:\/\/www.fibonance.com\/index.php\/wp-json\/wp\/v2\/pages\/53\/revisions\/162"}],"wp:attachment":[{"href":"https:\/\/www.fibonance.com\/index.php\/wp-json\/wp\/v2\/media?parent=53"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}