{"id":15311,"date":"2024-11-17T20:13:45","date_gmt":"2024-11-17T12:13:45","guid":{"rendered":"https:\/\/fwq.ai\/blog\/?p=15311"},"modified":"2024-11-17T20:13:45","modified_gmt":"2024-11-17T12:13:45","slug":"%e9%80%92%e5%bd%92%e7%ae%97%e6%b3%95%e6%bb%a1%e8%b6%b3%e7%9a%84%e4%b8%89%e4%b8%aa%e6%9d%a1%e4%bb%b6","status":"publish","type":"post","link":"https:\/\/fwq.ai\/blog\/15311\/","title":{"rendered":"\u9012\u5f52\u7b97\u6cd5\u6ee1\u8db3\u7684\u4e09\u4e2a\u6761\u4ef6"},"content":{"rendered":"<p>\u9012\u5f52\u7b97\u6cd5\u662f\u5e38\u89c1\u7684\u4e00\u79cd\u7b97\u6cd5\uff0c\u90a3\u7a76\u7adf\u4ec0\u4e48\u6837\u7684\u95ee\u9898\u53ef\u4ee5\u7528\u9012\u5f52\u6765\u89e3\u51b3\u5462\uff1f\u6211\u603b\u7ed3\u4e86\u4e09\u4e2a\u6761\u4ef6\uff0c\u53ea\u8981\u540c\u65f6\u6ee1\u8db3\u4ee5\u4e0b\u4e09\u4e2a\u6761\u4ef6\uff0c\u5c31\u53ef\u4ee5\u7528\u9012\u5f52\u6765\u89e3\u51b3\u3002<\/p>\n<h4>1. \u4e00\u4e2a\u95ee\u9898\u7684\u89e3\u53ef\u4ee5\u5206\u89e3\u4e3a\u51e0\u4e2a\u5b50\u95ee\u9898\u7684\u89e3\uff0c\u4f55\u4e3a\u5b50\u95ee\u9898\uff1f<\/h4>\n<p>\u5b50\u95ee\u9898\u5c31\u662f\u6570\u636e\u89c4\u6a21\u66f4\u5c0f\u7684\u95ee\u9898\u3002\u6bd4\u5982\uff0c\u524d\u9762\u8bb2\u7684\u7535\u5f71\u9662\u7684\u4f8b\u5b50\uff0c\u4f60\u8981\u77e5\u9053\uff0c\u201c\u81ea\u5df1\u5728\u54ea\u4e00\u6392\u201d\u7684\u95ee\u9898\uff0c\u53ef\u4ee5\u5206\u89e3\u4e3a\u201c\u524d\u4e00\u6392\u7684\u4eba\u5728\u54ea\u4e00\u6392\u201d\u8fd9\u6837\u4e00\u4e2a\u5b50\u95ee\u9898\u3002<\/p>\n<p>&nbsp;<\/p>\n<h4>2. \u8fd9\u4e2a\u95ee\u9898\u4e0e\u5206\u89e3\u4e4b\u540e\u7684\u5b50\u95ee\u9898\uff0c\u9664\u4e86\u6570\u636e\u89c4\u6a21\u4e0d\u540c\uff0c\u6c42\u89e3\u601d\u8def\u5b8c\u5168\u4e00\u6837<\/h4>\n<p>\u6bd4\u5982\u7535\u5f71\u9662\u90a3\u4e2a\u4f8b\u5b50\uff0c\u4f60\u6c42\u89e3\u201c\u81ea\u5df1\u5728\u54ea\u4e00\u6392\u201d\u7684\u601d\u8def\uff0c\u548c\u524d\u9762\u4e00\u6392\u4eba\u6c42\u89e3\u201c\u81ea\u5df1\u5728\u54ea\u4e00\u6392\u201d\u7684\u601d\u8def\uff0c\u662f\u4e00\u6a21\u4e00\u6837\u7684\u3002<\/p>\n<h4>3. \u5b58\u5728\u9012\u5f52\u7ec8\u6b62\u6761\u4ef6<\/h4>\n<p>\u628a\u95ee\u9898\u5206\u89e3\u4e3a\u5b50\u95ee\u9898\uff0c\u628a\u5b50\u95ee\u9898\u518d\u5206\u89e3\u4e3a\u5b50\u5b50\u95ee\u9898\uff0c\u4e00\u5c42\u4e00\u5c42\u5206\u89e3\u4e0b\u53bb\uff0c\u4e0d\u80fd\u5b58\u5728\u65e0\u9650\u5faa\u73af\uff0c\u8fd9\u5c31\u9700\u8981\u6709\u7ec8\u6b62\u6761\u4ef6\u3002<\/p>\n<ul>\n<li>\n<h2>\u5982\u4f55\u7f16\u5199\u9012\u5f52\u4ee3\u7801\uff1f<\/h2>\n<\/li>\n<\/ul>\n<p>\u521a\u521a\u94fa\u57ab\u4e86\u8fd9\u4e48\u591a\uff0c\u73b0\u5728\u6211\u4eec\u6765\u770b\uff0c\u5982\u4f55\u6765\u5199\u9012\u5f52\u4ee3\u7801\uff1f\u6211\u4e2a\u4eba\u89c9\u5f97\uff0c\u5199\u9012\u5f52\u4ee3\u7801\u6700\u5173\u952e\u7684\u662f<strong>\u5199\u51fa\u9012\u63a8\u516c\u5f0f\uff0c\u627e\u5230\u7ec8\u6b62\u6761\u4ef6<\/strong>\uff0c\u5269\u4e0b\u5c06\u9012\u63a8\u516c\u5f0f\u8f6c\u5316\u4e3a\u4ee3\u7801\u5c31\u5f88\u7b80\u5355\u4e86\u3002<\/p>\n<p>\u4f60\u5148\u8bb0\u4f4f\u8fd9\u4e2a\u7406\u8bba\u3002\u6211\u4e3e\u4e00\u4e2a\u4f8b\u5b50\uff0c\u5e26\u4f60\u4e00\u6b65\u4e00\u6b65\u5b9e\u73b0\u4e00\u4e2a\u9012\u5f52\u4ee3\u7801\uff0c\u5e2e\u4f60\u7406\u89e3\u3002<\/p>\n<p>\u5047\u5982\u8fd9\u91cc\u6709 n \u4e2a\u53f0\u9636\uff0c\u6bcf\u6b21\u4f60\u53ef\u4ee5\u8de8 1 \u4e2a\u53f0\u9636\u6216\u8005 2 \u4e2a\u53f0\u9636\uff0c\u8bf7\u95ee\u8d70\u8fd9 n \u4e2a\u53f0\u9636\u6709\u591a\u5c11\u79cd\u8d70\u6cd5\uff1f\u5982\u679c\u6709 7 \u4e2a\u53f0\u9636\uff0c\u4f60\u53ef\u4ee5 2\uff0c2\uff0c2\uff0c1 \u8fd9\u6837\u5b50\u4e0a\u53bb\uff0c\u4e5f\u53ef\u4ee5 1\uff0c2\uff0c1\uff0c1\uff0c2 \u8fd9\u6837\u5b50\u4e0a\u53bb\uff0c\u603b\u4e4b\u8d70\u6cd5\u6709\u5f88\u591a\uff0c\u90a3\u5982\u4f55\u7528\u7f16\u7a0b\u6c42\u5f97\u603b\u5171\u6709\u591a\u5c11\u79cd\u8d70\u6cd5\u5462\uff1f<\/p>\n<p>\u6211\u4eec\u4ed4\u7ec6\u60f3\u4e0b\uff0c\u5b9e\u9645\u4e0a\uff0c\u53ef\u4ee5\u6839\u636e\u7b2c\u4e00\u6b65\u7684\u8d70\u6cd5\u628a\u6240\u6709\u8d70\u6cd5\u5206\u4e3a\u4e24\u7c7b\uff0c\u7b2c\u4e00\u7c7b\u662f\u7b2c\u4e00\u6b65\u8d70\u4e86 1 \u4e2a\u53f0\u9636\uff0c\u53e6\u4e00\u7c7b\u662f\u7b2c\u4e00\u6b65\u8d70\u4e86 2 \u4e2a\u53f0\u9636\u3002\u6240\u4ee5 n \u4e2a\u53f0\u9636\u7684\u8d70\u6cd5\u5c31\u7b49\u4e8e\u5148\u8d70 1 \u9636\u540e\uff0cn-1 \u4e2a\u53f0\u9636\u7684\u8d70\u6cd5 \u52a0\u4e0a\u5148\u8d70 2 \u9636\u540e\uff0cn-2 \u4e2a\u53f0\u9636\u7684\u8d70\u6cd5\u3002\u7528\u516c\u5f0f\u8868\u793a\u5c31\u662f\uff1a<\/p>\n<pre><strong>f(n) = f(n-1)+f(n-2)<\/strong><\/pre>\n<p>\u6709\u4e86\u9012\u63a8\u516c\u5f0f\uff0c\u9012\u5f52\u4ee3\u7801\u57fa\u672c\u4e0a\u5c31\u5b8c\u6210\u4e86\u4e00\u534a\u3002\u6211\u4eec\u518d\u6765\u770b\u4e0b\u7ec8\u6b62\u6761\u4ef6\u3002\u5f53\u6709\u4e00\u4e2a\u53f0\u9636\u65f6\uff0c\u6211\u4eec\u4e0d\u9700\u8981\u518d\u7ee7\u7eed\u9012\u5f52\uff0c\u5c31\u53ea\u6709\u4e00\u79cd\u8d70\u6cd5\u3002\u6240\u4ee5 f(1)=1\u3002\u8fd9\u4e2a\u9012\u5f52\u7ec8\u6b62\u6761\u4ef6\u8db3\u591f\u5417\uff1f\u6211\u4eec\u53ef\u4ee5\u7528 n=2\uff0cn=3 \u8fd9\u6837\u6bd4\u8f83\u5c0f\u7684\u6570\u8bd5\u9a8c\u4e00\u4e0b\u3002<\/p>\n<p>n=2 \u65f6\uff0cf(2)=f(1)+f(0)\u3002\u5982\u679c\u9012\u5f52\u7ec8\u6b62\u6761\u4ef6\u53ea\u6709\u4e00\u4e2a f(1)=1\uff0c\u90a3 f(2) \u5c31\u65e0\u6cd5\u6c42\u89e3\u4e86\u3002\u6240\u4ee5\u9664\u4e86 f(1)=1 \u8fd9\u4e00\u4e2a\u9012\u5f52\u7ec8\u6b62\u6761\u4ef6\u5916\uff0c\u8fd8\u8981\u6709 f(0)=1\uff0c\u8868\u793a\u8d70 0 \u4e2a\u53f0\u9636\u6709\u4e00\u79cd\u8d70\u6cd5\uff0c\u4e0d\u8fc7\u8fd9\u6837\u5b50\u770b\u8d77\u6765\u5c31\u4e0d\u7b26\u5408\u6b63\u5e38\u7684\u903b\u8f91\u601d\u7ef4\u4e86\u3002\u6240\u4ee5\uff0c\u6211\u4eec\u53ef\u4ee5\u628a f(2)=2 \u4f5c\u4e3a\u4e00\u79cd\u7ec8\u6b62\u6761\u4ef6\uff0c\u8868\u793a\u8d70 2 \u4e2a\u53f0\u9636\uff0c\u6709\u4e24\u79cd\u8d70\u6cd5\uff0c\u4e00\u6b65\u8d70\u5b8c\u6216\u8005\u5206\u4e24\u6b65\u6765\u8d70\u3002<\/p>\n<p>\u6240\u4ee5\uff0c\u9012\u5f52\u7ec8\u6b62\u6761\u4ef6\u5c31\u662f\u00a0<strong>f(1)=1\uff0cf(2)=2<\/strong>\u3002\u8fd9\u4e2a\u65f6\u5019\uff0c\u4f60\u53ef\u4ee5\u518d\u62ff n=3\uff0cn=4 \u6765\u9a8c\u8bc1\u4e00\u4e0b\uff0c\u8fd9\u4e2a\u7ec8\u6b62\u6761\u4ef6\u662f\u5426\u8db3\u591f\u5e76\u4e14\u6b63\u786e\u3002<\/p>\n<p>\u6211\u4eec\u628a\u9012\u5f52\u7ec8\u6b62\u6761\u4ef6\u548c\u521a\u521a\u5f97\u5230\u7684\u9012\u63a8\u516c\u5f0f\u653e\u5230\u4e00\u8d77\u5c31\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n<pre>f(1) = 1;\r\nf(2) = 2;\r\nf(n) = f(n-1)+f(n-2)<\/pre>\n<p>\u6709\u4e86\u8fd9\u4e2a\u516c\u5f0f\uff0c\u6211\u4eec\u8f6c\u5316\u6210\u9012\u5f52\u4ee3\u7801\u5c31\u7b80\u5355\u591a\u4e86\u3002\u6700\u7ec8\u7684\u9012\u5f52\u4ee3\u7801\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n<pre>int f(int n) { \r\n    if (n == 1) return 1; \r\n    if (n == 2) return 2; \r\n    return f(n-1) + f(n-2);\r\n}<\/pre>\n<p>\u6211\u603b\u7ed3\u4e00\u4e0b\uff0c\u5199\u9012\u5f52\u4ee3\u7801\u7684\u5173\u952e\u5c31\u662f<strong>\u627e\u5230\u5982\u4f55\u5c06\u5927\u95ee\u9898\u5206\u89e3\u4e3a\u5c0f\u95ee\u9898\u7684\u89c4\u5f8b\uff0c\u5e76\u4e14\u57fa\u4e8e\u6b64\u5199\u51fa\u9012\u63a8\u516c\u5f0f\uff0c\u7136\u540e\u518d\u63a8\u6572\u7ec8\u6b62\u6761\u4ef6\uff0c\u6700\u540e\u5c06\u9012\u63a8\u516c\u5f0f\u548c\u7ec8\u6b62\u6761\u4ef6\u7ffb\u8bd1\u6210\u4ee3\u7801\u3002<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u9012\u5f52\u7b97\u6cd5\u662f\u5e38\u89c1\u7684\u4e00\u79cd\u7b97\u6cd5\uff0c\u90a3\u7a76\u7adf\u4ec0\u4e48\u6837\u7684\u95ee\u9898\u53ef\u4ee5\u7528\u9012\u5f52\u6765\u89e3\u51b3\u5462\uff1f\u6211\u603b\u7ed3\u4e86\u4e09\u4e2a\u6761\u4ef6\uff0c\u53ea\u8981\u540c\u65f6\u6ee1\u8db3\u4ee5\u4e0b\u4e09\u4e2a\u6761\u4ef6\uff0c\u5c31\u53ef\u4ee5\u7528\u9012\u5f52\u6765\u89e3\u51b3\u3002 1. \u4e00\u4e2a\u95ee\u9898\u7684\u89e3\u53ef\u4ee5\u5206\u89e3\u4e3a\u51e0\u4e2a\u5b50\u95ee\u9898\u7684\u89e3\uff0c\u4f55\u4e3a\u5b50\u95ee\u9898\uff1f \u5b50\u95ee\u9898\u5c31\u662f\u6570\u636e\u89c4\u6a21\u66f4\u5c0f\u7684\u95ee\u9898\u3002\u6bd4\u5982\uff0c\u524d\u9762\u8bb2\u7684\u7535\u5f71\u9662\u7684\u4f8b\u5b50\uff0c\u4f60\u8981\u77e5\u9053\uff0c\u201c\u81ea\u5df1\u5728\u54ea\u4e00\u6392\u201d\u7684\u95ee\u9898\uff0c\u53ef\u4ee5\u5206\u89e3\u4e3a\u201c\u524d\u4e00\u6392\u7684\u4eba\u5728\u54ea\u4e00\u6392\u201d\u8fd9\u6837\u4e00\u4e2a\u5b50\u95ee\u9898\u3002 &nbsp; 2. \u8fd9\u4e2a\u95ee\u9898\u4e0e\u5206\u89e3\u4e4b\u540e\u7684\u5b50\u95ee\u9898\uff0c\u9664\u4e86\u6570\u636e\u89c4\u6a21\u4e0d\u540c\uff0c\u6c42\u89e3\u601d\u8def\u5b8c\u5168\u4e00\u6837 \u6bd4\u5982\u7535\u5f71\u9662\u90a3\u4e2a\u4f8b\u5b50\uff0c\u4f60\u6c42\u89e3\u201c\u81ea\u5df1\u5728\u54ea\u4e00\u6392\u201d\u7684\u601d\u8def\uff0c\u548c\u524d\u9762\u4e00\u6392\u4eba\u6c42\u89e3\u201c\u81ea\u5df1\u5728\u54ea\u4e00\u6392\u201d\u7684\u601d\u8def\uff0c\u662f\u4e00\u6a21\u4e00\u6837\u7684\u3002 3. \u5b58\u5728\u9012\u5f52\u7ec8\u6b62\u6761\u4ef6 \u628a\u95ee\u9898\u5206\u89e3\u4e3a\u5b50\u95ee\u9898\uff0c\u628a\u5b50\u95ee\u9898\u518d\u5206\u89e3\u4e3a\u5b50\u5b50\u95ee\u9898\uff0c\u4e00\u5c42\u4e00\u5c42\u5206\u89e3\u4e0b\u53bb\uff0c\u4e0d\u80fd\u5b58\u5728\u65e0\u9650\u5faa\u73af\uff0c\u8fd9\u5c31\u9700\u8981\u6709\u7ec8\u6b62\u6761\u4ef6\u3002 \u5982\u4f55\u7f16\u5199\u9012\u5f52\u4ee3\u7801\uff1f \u521a\u521a\u94fa\u57ab\u4e86\u8fd9\u4e48\u591a\uff0c\u73b0\u5728\u6211\u4eec\u6765\u770b\uff0c\u5982\u4f55\u6765\u5199\u9012\u5f52\u4ee3\u7801\uff1f\u6211\u4e2a\u4eba\u89c9\u5f97\uff0c\u5199\u9012\u5f52\u4ee3\u7801\u6700\u5173\u952e\u7684\u662f\u5199\u51fa\u9012\u63a8\u516c\u5f0f\uff0c\u627e\u5230\u7ec8\u6b62\u6761\u4ef6\uff0c\u5269\u4e0b\u5c06\u9012\u63a8\u516c\u5f0f\u8f6c\u5316\u4e3a\u4ee3\u7801\u5c31\u5f88\u7b80\u5355\u4e86\u3002 \u4f60\u5148\u8bb0\u4f4f\u8fd9\u4e2a\u7406\u8bba\u3002\u6211\u4e3e\u4e00\u4e2a\u4f8b\u5b50\uff0c\u5e26\u4f60\u4e00\u6b65\u4e00\u6b65\u5b9e\u73b0\u4e00\u4e2a\u9012\u5f52\u4ee3\u7801\uff0c\u5e2e\u4f60\u7406\u89e3\u3002 \u5047\u5982\u8fd9\u91cc\u6709 n \u4e2a\u53f0\u9636\uff0c\u6bcf\u6b21\u4f60\u53ef\u4ee5\u8de8 1 \u4e2a\u53f0\u9636\u6216\u8005 2 \u4e2a\u53f0\u9636\uff0c\u8bf7\u95ee\u8d70\u8fd9 n \u4e2a\u53f0\u9636\u6709\u591a\u5c11\u79cd\u8d70\u6cd5\uff1f\u5982\u679c\u6709 7 \u4e2a\u53f0\u9636\uff0c\u4f60\u53ef\u4ee5 2\uff0c2\uff0c2\uff0c1 \u8fd9\u6837\u5b50\u4e0a\u53bb\uff0c\u4e5f\u53ef\u4ee5 1\uff0c2\uff0c1\uff0c1\uff0c2 \u8fd9\u6837\u5b50\u4e0a\u53bb\uff0c\u603b\u4e4b\u8d70\u6cd5\u6709\u5f88\u591a\uff0c\u90a3\u5982\u4f55\u7528\u7f16\u7a0b\u6c42\u5f97\u603b\u5171\u6709\u591a\u5c11\u79cd\u8d70\u6cd5\u5462\uff1f \u6211\u4eec\u4ed4\u7ec6\u60f3\u4e0b\uff0c\u5b9e\u9645\u4e0a\uff0c\u53ef\u4ee5\u6839\u636e\u7b2c\u4e00\u6b65\u7684\u8d70\u6cd5\u628a\u6240\u6709\u8d70\u6cd5\u5206\u4e3a\u4e24\u7c7b\uff0c\u7b2c\u4e00\u7c7b\u662f\u7b2c\u4e00\u6b65\u8d70\u4e86 1 \u4e2a\u53f0\u9636\uff0c\u53e6\u4e00\u7c7b\u662f\u7b2c\u4e00\u6b65\u8d70\u4e86 2 \u4e2a\u53f0\u9636\u3002\u6240\u4ee5 n \u4e2a\u53f0\u9636\u7684\u8d70\u6cd5\u5c31\u7b49\u4e8e\u5148\u8d70 1 \u9636\u540e\uff0cn-1 \u4e2a\u53f0\u9636\u7684\u8d70\u6cd5 \u52a0\u4e0a\u5148\u8d70 2 \u9636\u540e\uff0cn-2 \u4e2a\u53f0\u9636\u7684\u8d70\u6cd5\u3002\u7528\u516c\u5f0f\u8868\u793a\u5c31\u662f\uff1a f(n) = f(n-1)+f(n-2) \u6709\u4e86\u9012\u63a8\u516c\u5f0f\uff0c\u9012\u5f52\u4ee3\u7801\u57fa\u672c\u4e0a\u5c31\u5b8c\u6210\u4e86\u4e00\u534a\u3002\u6211\u4eec\u518d\u6765\u770b\u4e0b\u7ec8\u6b62\u6761\u4ef6\u3002\u5f53\u6709\u4e00\u4e2a\u53f0\u9636\u65f6\uff0c\u6211\u4eec\u4e0d\u9700\u8981\u518d\u7ee7\u7eed\u9012\u5f52\uff0c\u5c31\u53ea\u6709\u4e00\u79cd\u8d70\u6cd5\u3002\u6240\u4ee5 f(1)=1\u3002\u8fd9\u4e2a\u9012\u5f52\u7ec8\u6b62\u6761\u4ef6\u8db3\u591f\u5417\uff1f\u6211\u4eec\u53ef\u4ee5\u7528 n=2\uff0cn=3 \u8fd9\u6837\u6bd4\u8f83\u5c0f\u7684\u6570\u8bd5\u9a8c\u4e00\u4e0b\u3002 n=2 \u65f6\uff0cf(2)=f(1)+f(0)\u3002\u5982\u679c\u9012\u5f52\u7ec8\u6b62\u6761\u4ef6\u53ea\u6709\u4e00\u4e2a f(1)=1\uff0c\u90a3 f(2) \u5c31\u65e0\u6cd5\u6c42\u89e3\u4e86\u3002\u6240\u4ee5\u9664\u4e86 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