{"id":67,"date":"2022-07-10T22:32:50","date_gmt":"2022-07-10T14:32:50","guid":{"rendered":"http:\/\/blog.minegician.cn\/?p=67"},"modified":"2023-01-15T16:26:59","modified_gmt":"2023-01-15T08:26:59","slug":"%e9%ab%98%e6%95%b0%e4%b8%8b%e6%9c%9f%e6%9c%ab%e6%80%a5%e6%95%91%e7%ac%94%e8%ae%b0","status":"publish","type":"post","link":"http:\/\/blog.minegician.cn\/?p=67","title":{"rendered":"\u9ad8\u6570\u4e0b\u671f\u672b\u6025\u6551\u7b14\u8bb0"},"content":{"rendered":"<h4>\u504f\u5bfc<\/h4>\n<ol>\n<li>\n<p>\u51fd\u6570\u5148\u540e\u5bf9\u591a\u4e2a\u672a\u77e5\u6570\u6c42\u504f\u5bfc\uff0c\u987a\u5e8f\u4e0d\u5f71\u54cd\u6700\u7ec8\u7ed3\u679c<\/p>\n<\/li>\n<li>\n<p>\u590d\u5408\u51fd\u6570\u504f\u5bfc\uff0c\u753b\u56fe\u8868\u793a\u5173\u7cfb\uff0c\u7136\u540e\u504f\u5bfc\uff08\u6216\u5bfc\u6570\uff09\u76f8\u4e58\uff0c\u4e0d\u591a\u8bf4<\/p>\n<p>\u53cd\u8fc7\u6765\uff0c\u6709\u6c42\u5bfc\u5bf9\u8c61\u7684\u590d\u6742\u8868\u8fbe\u5f0f\uff0c\u4e5f\u53ef\u4ee5\u7528\u6362\u5143\u6cd5<\/p>\n<\/li>\n<li>\n<p>\u9690\u51fd\u6570\u6c42\u504f\u5bfc\uff0c\u8bbe\u4e3a F\uff0c\u539f\u672c\u7684\u504f\u5bfc\u5173\u7cfb\u8f6c\u4e3a F \u5bf9\u5404\u672a\u77e5\u6570\u504f\u5bfc\u7684\u53cd\u6bd4\uff0c<strong>\u8bb0\u5f97\u52a0\u8d1f\u53f7<\/strong><\/p>\n<\/li>\n<li>\n<p>\u6c42\u4e8c\u9636\u504f\u5bfc\uff0c\u5c06<strong>\u4e00\u9636\u504f\u5bfc<\/strong>\u89c6\u4e3a\u51fd\u6570\uff0c\u518d\u6c42\u4e00\u904d\u504f\u5bfc<\/p>\n<p>\u6ce8\u610f\uff0c\u7ed3\u679c\u4e2d\u51fa\u73b0\u4e00\u9636\u504f\u5bfc\u65f6\uff0c\u8981<strong>\u8bb0\u5f97\u4ee3\u5165<\/strong><\/p>\n<\/li>\n<li>\n<p>\u6ce8\u610f\u770b\u662f\u5bf9\u8c01\u6c42\u5bfc\uff0c\u628a\u5176\u4ed6\u770b\u6210\u5e38\u6570\u4ee5\u540e\uff0c\u505a\u6cd5\u548c\u6c42\u5bfc\u4e00\u6837\uff0c\u800c\u6c42\u5bfc\u65b9\u6cd5\u548c\u9ad8\u4e2d\u4e00\u6837<\/p>\n<\/li>\n<\/ol>\n<hr \/>\n<h4>\u5168\u5fae\u5206<\/h4>\n<ol>\n<li>\u590d\u5408\u51fd\u6570\u5168\u5fae\u5206\uff0c\u5148\u7b97\u51fa\u4e00\u5c42\u7684\u5168\u5fae\u5206\uff0c\u504f\u5bfc\u90e8\u5206\u76f4\u63a5\u4ee3\u5165\uff0c\u5fae\u5206\u90e8\u5206\u8f6c\u4e3a\u4e0b\u4e00\u5c42\u7684\u5168\u5fae\u5206<\/li>\n<li>\u89e3\u5168\u5fae\u5206\u4e2d\u7684\u672a\u77e5\u53c2\u6570\uff1a\u5229\u7528\u504f\u5bfc\u6027\u8d28 1 \u5206\u522b\u5bf9\u53e6\u4e00\u4e2a\u672a\u77e5\u6570\u6c42\u4ea4\u53c9\u4e8c\u9636\u504f\u5bfc\uff0c\u5217\u51fa\u7b49\u5f0f\u6c42\u89e3<\/li>\n<li>\u591a\u5143\u51fd\u6570\u6c42\u6781\u503c\u70b9\u548c\u6781\u503c\n<ul>\n<li>\u627e\u51fa\u6240\u6709\u504f\u5bfc\u540c\u65f6\u4e3a 0 \u7684\u70b9<\/li>\n<li>$A B C$ \u5206\u522b\u4e3a x \u4e8c\u9636\u504f\u5bfc\uff0c\u4ea4\u53c9\u504f\u5bfc\uff0cy \u4e8c\u9636\u504f\u5bfc\uff0c\u4ee3\u5165\u4e0a\u8ff0\u70b9\uff0c\u5f97\u5230\u6240\u6709 $ABC$ \u503c\u7684\u7ec4\u5408<\/li>\n<li>$B^2-AC$ &gt; 0 \u4e0d\u662f\u6781\u503c\u70b9\uff0c= 0 \u4e0d\u786e\u5b9a\uff0c&lt; 0 \u662f\u6781\u503c\u70b9\n<ul>\n<li>\u662f\u6781\u503c\u70b9\u65f6\uff0cA &gt; 0 \u5219\u4e3a\u6781\u5c0f\u503c\uff0c\u53cd\u4e4b\u6781\u5927<\/li>\n<li>\u627e\u5230\u6781\u503c\u70b9\u540e\u76f4\u63a5\u6c42\u6781\u503c<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li>\u6781\u503c\u70b9\uff0c\u4f46\u662f\u9690\u51fd\u6570\n<ul>\n<li>\u7528\u9690\u51fd\u6570\u504f\u5bfc\u6cd5\u6c42\u504f\u5bfc\uff0c\u627e\u5230\u504f\u5bfc\u4e3a 0 \u4e14\u8054\u7acb\u9690\u51fd\u6570\u6210\u7acb\u7684\u70b9<\/li>\n<li>\u4e0b\u9762\u6b65\u9aa4\u76f8\u540c\uff0c\u6c42\u6781\u503c\u76f8\u5f53\u4e8e\u89e3\u4e00\u5143\u65b9\u7a0b<\/li>\n<\/ul>\n<\/li>\n<li>\u6c42\u51fd\u6570\u5728\u533a\u95f4\u5185\u7684\u6700\u503c\n<ul>\n<li>\u627e\u51fa\u6240\u6709\u6781\u503c\u70b9<\/li>\n<li>\u5199\u51fa\u8fb9\u754c\u65b9\u7a0b\uff08\u6bd4\u5982\u5199\u6210 y \u5bf9 x \u7684\u65b9\u7a0b\uff0c\u4ee5\u53ca x 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\u7684\u5355\u4f4d\u5411\u91cf\u5373\u53ef<\/li>\n<\/ul>\n<\/li>\n<li>\u5411\u91cf\u53c9\u4e58\uff08\u590d\u4e60\uff09\uff1a\n<ul>\n<li>\u6027\u8d28\uff1a\u7ed3\u679c\u7684\u5927\u5c0f\uff0c\u65b9\u5411\uff1b\u7531\u53c9\u4e58\u5224\u65ad\u5411\u91cf\u4f4d\u7f6e\u5173\u7cfb<\/li>\n<li>\u8ba1\u7b97\uff1a\u884c\u5217\u5f0f<\/li>\n<li>\u9047\u5230\u4e00\u4e2a\u5411\u91cf\u540c\u65f6\u5782\u76f4\u4e8e\u4e24\u4e2a\u5411\u91cf\u65f6\uff0c\u5c31\u53ef\u4ee5\u5e94\u7528<\/li>\n<\/ul>\n<\/li>\n<li>\u5224\u65ad\u5411\u91cf\u5e73\u884c \/ \u5782\u76f4\u7684\u51e0\u4e2a\u65b9\u6cd5<\/li>\n<\/ol>\n<hr \/>\n<h4>\u7a7a\u95f4\u51e0\u4f55<\/h4>\n<ol>\n<li>\n<p>\u8fc7\u5df2\u77e5 3 \u70b9\u7684\u5e73\u9762\uff0c\u76f4\u63a5\u4ee3\u5165\u6d88\u5143\uff08\u6d88 D 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\/>\n<\/li>\n<li>\n<p>\u5df2\u77e5\u5e73\u9762\u7684<strong>\u4ea4\u7ebf<\/strong>\uff0c<strong>\u76f4\u63a5\u8054\u7acb<\/strong>\u4e5f<strong>\u6c42\u4e0d\u51fa\u6765<\/strong>\u5177\u4f53\u65b9\u7a0b\uff0c<strong>\u8fd8\u5f97\u7528\u53c9\u4e58<\/strong>\u6c42\u5411\u91cf<\/p>\n<p>\u5bf9\u4e8e\u4e00\u6761<strong>\u76f4\u7ebf<\/strong>\uff0c<strong>\u5df2\u77e5\u5411\u91cf<\/strong>\uff0c\u518d\u627e\u51fa<strong>\u76f4\u7ebf\u4e0a\u4e00\u70b9<\/strong>\u5c31\u53ef\u4ee5\u5f97\u5230\u65b9\u7a0b\uff08\u5f53\u7136\u6709\u65f6\u5019\u7a7a\u95f4\u5173\u7cfb\u53ea\u9700\u8981\u5411\u91cf\uff09<\/p>\n<\/li>\n<li>\n<p>\u70b9\u5230\u76f4\u7ebf\u7684\u8ddd\u79bb\uff1a\u53d6\u76f4\u7ebf\u5411\u91cf\u548c\u8be5\u70b9\u4f5c\u6cd5\u5e73\u9762\uff0c\u6cd5\u5e73\u9762\u4e0e\u76f4\u7ebf\u8054\u7acb\u6c42\u51fa\u4ea4\u70b9\uff0c\u5373\u4e3a\u5728\u76f4\u7ebf\u4e0a\u7684\u6295\u5f71\u70b9<\/p>\n<hr \/>\n<\/li>\n<li>\n<p>\u66f2\u7ebf\u7684\u5207\u7ebf\u548c\u6cd5\u5e73\u9762\u2014\u2014<\/p>\n<ul>\n<li>\u53c2\u6570\u65b9\u7a0b\u5f62\u5f0f\uff1a\u5206\u522b\u5728\u4e00\u70b9\u5904\u5bf9 $t$ \u6c42\u5bfc\u5373\u53ef\u5f97\u51fa\u5207\u5411\u91cf\uff0c\u8fdb\u800c\u5f97\u5230\u6cd5\u5e73\u9762<\/li>\n<li>\u9690\u51fd\u6570\u5f62\u5f0f\uff1a\u5bf9 $x$ \u6c42\u5bfc\uff0c\u8054\u7acb\u89e3\u51fa\u5bfc\u6570\uff0c\u8bbe x = 1\uff08\u53cd\u6b63\u662f\u5411\u91cf\u53ef\u4ee5\u968f\u4fbf\u8bbe\uff09\uff0c\u5373\u53ef\u5f97\u5230\u5207\u5411\u91cf\uff0c\u4e0b\u540c<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u66f2\u9762\u7684\u5207\u5e73\u9762\u548c\u6cd5\u7ebf\uff1a\u6cd5\u5411\u91cf\u4e3a\u65b9\u7a0b\u5bf9\u5404\u65b9\u5411\u7684\u504f\u5bfc\uff0c\u8fdb\u800c\u5f97\u51fa\u5207\u5e73\u9762\u548c\u6cd5\u7ebf\uff08\u8bc1\u660e\uff1a\u66f2\u9762\u5168\u5fae\u5206\u5c31\u662f\u5207\u5e73\u9762\uff09<\/p>\n<\/li>\n<\/ol>\n<hr \/>\n<h4>\u4e8c\u91cd\u79ef\u5206<\/h4>\n<ol>\n<li>\u7b80\u5355\u7684\u76f4\u89d2\u7cfb\u4e8c\u91cd\u79ef\u5206\uff1a<strong>\u5f0f\u5b50\u5168\u653e\u5230\u540e\u9762<\/strong>\uff0c\u4ece\u540e\u5f80\u524d\u7b97\u79ef\u5206<\/li>\n<li>\n<p>\u4ea4\u6362\u6b21\u5e8f\u2014\u2014<\/p>\n<ul>\n<li>\n<p>\u5f0f\u5b50\u5148\u653e\u5230\u540e\u9762\uff0c\u753b\u51fa\u79ef\u5206\u533a\u57df\uff08<strong>\u5e73\u884c\u7ebf<\/strong>\u5e38\u6570\u548c\u51fd\u6570\uff09\uff0c\u770b\u56fe\u5199\u51fa<strong>\u4ea4\u6362\u540e\u7684\u5e73\u884c\u7ebf<\/strong> \/ \u51fd\u6570\uff0c\u6ce8\u610f\u5e73\u884c\u7ebf\u4e2d\u95f4\u5939\u4e86<strong>\u6298\u7ebf\u8981\u5206\u6bb5<\/strong><\/p>\n<\/li>\n<li>\n<p>\u7ed3\u679c\u7684 dx \u548c dy 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x \u6216 y\uff0c\u82e5\u4e3a\u5947\u5219\u603b\u79ef\u5206\u4e3a 0\uff0c\u5076\u5219\u53ef\u4ee5\u76f4\u63a5\u4e58 2<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<hr \/>\n<h4>\u4e09\u91cd\u79ef\u5206<\/h4>\n<p>\u5bf9\u4e8e\u4e00\u5757\u4f53\u79ef\u7684\u79ef\u5206\u601d\u8def\u2014\u2014<strong>\u964d\u4e3a\u4e8c\u91cd\u79ef\u5206<\/strong><\/p>\n<ul>\n<li>\u627e\u5230\u67d0\u65b9\u5411<strong>\u4e0a\u4e0b\u9762\u7684\u8868\u8fbe\u5f0f<\/strong>\uff08\u6bd4\u5982 z \u8f74\u4e0a\u4e0b\u8868\u9762\u5199\u6210 z = \u5f62\u5f0f\uff09<\/li>\n<li>\u5bf9 z <strong>\u79ef\u4e00\u6b21\u5206<\/strong>\uff0c\u5f97\u5230\u5173\u4e8e x y \u7684\u51fd\u6570\uff0c\u6574\u4f53\u8f6c\u4e3a <strong>xy 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1<\/p>\n<\/li>\n<li>\n<p>\u9047\u5230\u590d\u6742\u7684\u66f2\u7ebf\uff0c<strong>\u672c\u8d28\u4e0a\u8fd8\u662f<\/strong>\uff0c<strong>\u76f4\u89d2\u5750\u6807<\/strong>\u65b9\u4fbf\u5c31\u7528 y(x)\uff0c\u7528<strong>\u6781\u5750\u6807<\/strong>\u65b9\u4fbf\u5c31\u53d8\u6210 \u03b8 <strong>\u53c2\u6570<\/strong><\/p>\n<\/li>\n<li>\n<p>\u7279\u522b\u6280\u5de7\u2014\u2014\u5e73\u9762\u66f2\u7ebf<\/p>\n<ul>\n<li><strong>\u82e5\u88ab\u79ef\u51fd\u6570\u80fd\u8868\u793a\u4e3a\u5e38\u6570<\/strong>\uff0c\u76f4\u63a5\u4e58\u66f2\u7ebf\u957f\u5ea6<\/li>\n<li>\u82e5<strong>\u66f2\u7ebf<\/strong>\u4e3a<strong>\u5bf9\u79f0<\/strong>\u533a\u57df\uff0c\u53ef\u4ee5\u91c7\u7528\u4e8c\u91cd\u79ef\u5206\u76f8\u540c\u65b9\u6cd5\u7b80\u5316<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<hr \/>\n<h4>\u7b2c\u4e8c\u7c7b\u66f2\u7ebf\u79ef\u5206<\/h4>\n<ol>\n<li>\n<p>\u5bf9\u4e8e\u6709 $P(x,y)dx$ \u548c $Q(x,y)dy$ 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0<\/p>\n<ul>\n<li>\u6539\u53d8\u65b9\u5411\uff0c\u8c03\u6574\u516c\u5f0f\u5373\u53ef<\/li>\n<li>\u7b80\u5355\u63cf\u8ff0\u8fc7\u7a0b\uff1a\u5229\u7528\u65b9\u7a0b\u5c06 P \u4e2d\u7684 x \u6d88\u53bb\uff0c\u6709\u65f6\u53d6\u67d0\u4e2a\u5366\u9650\u65f6\u8981\u6ce8\u610f x \u7684\u6b63\u8d1f\u662f\u5426\u6b63\u786e\uff08\u6bd4\u5982\u5f00\u6839\u53f7\u600e\u4e48\u5f00\uff09\uff0c\u7136\u540e\u627e\u5230\u6295\u5f71\u9762\uff0c\u53d8\u6210\u4e8c\u91cd\u79ef\u5206<\/li>\n<\/ul>\n<hr \/>\n<h4>\u4e00\u822c\u7ea7\u6570<\/h4>\n<ol>\n<li>\n<p>\u6b63\u9879\u7ea7\u6570\uff1a\u4e3a\u6b63\uff0c\u4e14\u52a0\u548c\u4e2d\u7684\u6570\u4e00\u773c\u80fd\u770b\u51fa\u89c4\u5f8b<\/p>\n<p>\u5224\u65ad\u655b\u6563\u6027\u2014\u2014<\/p>\n<ul>\n<li>\n<p><strong>\u6700\u540e\u4e00\u9879<\/strong>\u8d8b\u8fd1\u4e8e 0 \u5219\u7ee7\u7eed\uff0c\u5426\u5219\u53d1\u6563<\/p>\n<\/li>\n<li>\n<p>\u6700\u540e\u4e00\u9879\u5982\u679c\u662f n \u6b21\u65b9\uff0c\u53d6\u5e95\u6570\uff0c\u5426\u5219\u53d6\u5b83 \/ \u524d\u4e00\u9879\uff08<strong>\u4e00\u5b9a\u8981\u53d6 \u221e \u7684\u6781\u9650<\/strong>\uff09\uff0c\u8bb0\u4e3a $\u03c1$ <\/p>\n<\/li>\n<li>\n<p>$\u03c1$ &lt; 1 \u6536\u655b\uff0c&gt; 1 \u53d1\u6563\uff0c= 1 \u8fdb\u4e00\u6b65\u5224\u65ad\uff0c\u901a\u8fc7<strong>\u653e\u7f29<\/strong><\/p>\n<\/li>\n<li>\n<p>\u5f97\u5230\u53ef\u7528\u4e8e\u653e\u7f29\u7684\u5df2\u77e5\u655b\u6563\u6027\u7684\u7ea7\u6570\uff1a<\/p>\n<ul>\n<li>\u8868\u793a\u4e3a\u5e38\u6570\u7684 n \u6b21\u65b9\uff0c\u5e38\u6570 &lt; 1 \u6536\u655b\uff0c\u5426\u5219\uff08\u5305\u62ec = 1\uff09\u53d1\u6563<\/li>\n<li>\u8868\u793a\u4e3a n \u7684\u5e38\u6570\u6b21\u65b9\u5206\u4e4b\u4e00\uff08\u6240\u4ee5\u4e0d\u5728\u5206\u6bcd\u4e0a\u65f6\u5e38\u6570\u8981\u53d6\u4e2a\u8d1f\uff09\uff0c\u5e38\u6570 &gt; 1 \u6536\u655b\uff0c\u5426\u5219\u53d1\u6563\uff08\u8fd9\u8fb9\u4f60\u53ef\u80fd\u4f1a\u7ea0\u7ed3\u4e3a\u4ec0\u4e48\uff0c\u8bb0\u4f4f<strong>\u5e38\u6570\u53d6 1 \u65f6\u6211\u4eec\u5f97\u5230\u7684\u662f\u4e00\u4e2a\u4f1f\u5927\u7684\u5e26\u6b27\u62c9\u5e38\u6570\u7684\u8c03\u548c\u7ea7\u6570\uff0c\u5b83\u662f\u53d1\u6563\u7684\u754c\u9650<\/strong>\uff09<\/li>\n<\/ul>\n<blockquote>\n<p>NUST \u4e2d\uff0c\u8bc1\u660e\u8fd9\u4e2a\u7528\u7684\u662f\u9ad8\u9636\u65e0\u7a77\u5c0f\uff0c\u9ad8\u9636\u4ee3\u8868\u5411 0 \u6536\u655b\uff0c\u6bd5\u7adf\u8868\u793a\u4e3a n \u7684 \u5927\u4e8e1 \u6b21\u65b9 \u5206\u4e4b\u4e00\uff0c\u8bf4\u660e\u5b83\u672c\u8eab\u4e00\u5b9a\u662f\u5927\u4e8e 1 \u9636\u7684\u65e0\u7a77\u5c0f\uff0c\u6bd4\u8c03\u548c\u7ea7\u6570\u5c0f\uff0c\u6536\u655b\u3002<\/p>\n<p>\u5012\u6570\u7684\u5224\u65ad\u7c7b\u63a8<\/p>\n<\/blockquote>\n<\/li>\n<li>\n<p>\u7136\u540e\u5c31\u5224\u65ad\u5f53\u524d\u7ea7\u6570\uff0c\u6bd4\u5df2\u77e5\u6536\u655b\u7684\u8fd8\u5c0f or \u6bd4\u5df2\u77e5\u53d1\u6563\u7684\u8fd8\u5927<\/p>\n<\/li>\n<li>\n<p>\u522b\u6025\uff0c<strong>\u5148\u770b<\/strong>\u5f53\u524d\u7ea7\u6570<strong>\u50cf n \u6b21\u65b9\u8fd8\u662f\u50cf n \u7684\u5e42<\/strong>\uff0c\u7136\u540e\u2014\u2014<\/p>\n<ul>\n<li>\u60f3\u529e\u6cd5\u6d88\u53bb\u5e38\u6570<\/li>\n<li>\u5229\u7528 4 \u79cd<strong>\u57fa\u672c\u4e0d\u7b49\u5f0f<\/strong><\/li>\n<li>x &gt; 0 \u65f6\uff0c<strong>sinx<\/strong> &lt; x\uff08\u6709\u5947\u6548\uff09<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u4ea4\u9519\u7ea7\u6570\uff1a\u987e\u540d\u601d\u4e49\uff0c\u89c4\u5f8b\u7167\u5e38\uff0c\u4f46\u662f\u6b63\u8d1f\u4ea4\u9519<\/p>\n<p>\u5224\u65ad\u655b\u6563\u6027\u2014\u2014<\/p>\n<ul>\n<li>\u9996\u5148\u90fd\u6709\u4e00\u4e2a<strong>\u524d\u63d0<\/strong>\u662f<strong>\u6700\u540e\u4e00\u9879\u8d8b\u8fd1\u4e8e 0<\/strong>\uff0c\u4e0d\u8003\u8651\u524d\u9762\u7684\u7b26\u53f7\uff0c\u5224\u65ad\u662f\u5426\u5927\u4e8e\u540e\u4e00\u9879\uff0c\u662f\u6536\u655b\uff0c\u5426\u53d1\u6563<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u7edd\u5bf9\u6536\u655b<\/strong>\uff1f<strong>\u6761\u4ef6\u6536\u655b<\/strong>\uff1f<\/p>\n<ul>\n<li>\u524d\u63d0\u662f\u6536\u655b<\/li>\n<li>\u5173\u952e\u662f<strong>\u7ea7\u6570\u4e3a\u6b63\u9879\u65f6\u662f\u5426\u6536\u655b<\/strong>\uff0c\u662f\u5219\u7edd\u5bf9\uff0c\u5426\u5219\u6761\u4ef6\uff08\u6bd4\u5982\u4ea4\u9519\u672c\u6765\u6536\u655b\uff0c\u53bb\u6389\u7b26\u53f7\u540e\u53d1\u6563\uff09<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<hr \/>\n<h4>\u5e42\u7ea7\u6570<\/h4>\n<p>\u53ef\u80fd\u957f\u8fd9\u6837\uff1a $\\sum\\limits^{\u221e}_{n=0}a_n(x+b)^n$ \uff0c\u4e5f\u53ef\u80fd\u957f\u522b\u7684\u6837\uff0c\u6bd5\u7adf\u53eb\u5e42\u7ea7\u6570<\/p>\n<ol>\n<li>\n<p>\u5df2\u77e5\u5728\u67d0\u70b9 $x_0$ \u6536\u655b \/ \u53d1\u6563\uff0c\u5224\u65ad\u53e6\u4e00\u70b9\u60c5\u51b5\uff08\u963f\u8d1d\u5c14\u5b9a\u7406\uff09<\/p>\n<ul>\n<li>\u82e5\u5728 $x_0$ \u6536\u655b\uff0c\u5219 $|x+b|&lt;|x_0+b|$ \u65f6\u6536\u655b<\/li>\n<li>\u82e5\u5728 $x_0$ \u53d1\u6563\uff0c\u5219 $|x+b|&gt;|x_0+b|$ \u65f6\u53d1\u6563<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u6c42<strong>\u6536\u655b\u57df<\/strong>\uff0c\u5373\u6536\u655b\u8303\u56f4<\/p>\n<ul>\n<li>\n<p>\u6211\u4eec\u62ff n+1 \u9879<strong>\u9664\u4ee5<\/strong>\u7b2c n \u9879\uff08<strong>\u7edd\u5bf9\u503c<\/strong>\uff0c<strong>n \u53d6 \u221e \u65f6\u7684\u6781\u9650<\/strong>\uff09<strong>&lt; 1<\/strong> \u7684\u533a\u57df\u5b9a\u4e49\u4e3a\u6536\u655b\u57df\uff0c<strong>\u5148\u6c42\u51fa<\/strong>\u6ee1\u8db3\u7684 x <strong>\u5f00\u533a\u95f4<\/strong><\/p>\n<\/li>\n<li>\n<p>\u7136\u540e\u627e\u5230<strong>= 1 \u7684\u8fb9\u754c<\/strong>\u70b9 x \u9010\u4e00<strong>\u4ee3\u5165\u5224\u65ad\u662f\u5426\u6536\u655b<\/strong>\uff0c\u662f\u5426\u53ef\u4ee5\u53d8\u6210\u95ed\u533a\u95f4\uff0c\u5c31\u8fd9\u56de\u4e8b<\/p>\n<blockquote>\n<p>\u6240\u4ee5\u522b\u5fd8\u4e86\u600e\u4e48\u5224\u65ad\u655b\u6563\u6027<\/p>\n<\/blockquote>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u6c42<strong>\u6536\u655b\u534a\u5f84<\/strong>\uff1a<\/p>\n<p>\u628a\u6ee1\u8db3\u6536\u655b\u57df\uff08\u5f00\u533a\u95f4\u5373\u53ef\uff09\u5199\u6210\u7edd\u5bf9\u503c &lt; r \u7684\u5f62\u5f0f\uff0c\u7ecf\u5e38\u5728\u6c42\u6536\u655b\u57df\u7684\u65f6\u5019\u5c31\u80fd\u5f97\u5230\u4e86<\/p>\n<\/li>\n<li>\n<p>\u6536\u655b\u57df\u5185\u7684<strong>\u548c\u51fd\u6570<\/strong>\uff1a<\/p>\n<ul>\n<li>\u5982\u679c n \u9664\u5728\u4e0b\u9762\uff0c\u4ee4 $v_n$ \u4e3a\u5bfc\u6570\uff0c\u6c42\u51fa <strong>v \u7684\u7b2c\u4e00\u9879<\/strong>\uff08\u53d6\u51b3\u4e8e <strong>n \u7684\u8d77\u59cb\u503c\uff0c\u4f46\u4e00\u822c\u4e3a 1<\/strong>\uff09\u4e3a\u5206\u6bcd\uff0c<strong>1 - \u7b2c n+1 \u548c n \u9879\u7684\u6bd4<\/strong>\u4e3a\u5206\u5b50\uff0cS(x) \u4e3a<strong>\u79ef\u5206<\/strong>\uff0c\u56e0\u4e3a\u6ee1\u8db3 S(0) = 0\uff0c\u6240\u4ee5\u8fd8<strong>\u8981\u6c42\u51fa C \u7684\u503c<\/strong><\/li>\n<li>\u5982\u679c n \u4e58\u5728\u524d\u9762\uff0c\u4ee4 $v_n$ \u4e3a\u79ef\u5206\uff0cS(x) \u4e3a\u4e0a\u9762\u7684\u5206\u5f0f\u6c42\u5bfc<\/li>\n<li>\u6700\u540e\u4e3a\u548c\u51fd\u6570\u6807\u4e0a\u6536\u655b\u57df<\/li>\n<li>\u5206\u6790\uff1a $v_n$ <strong>\u7528\u6765\u53bb\u6389<\/strong>\u9644\u7740\u7684 <strong>n<\/strong>\uff0c\u6240\u4ee5 n <strong>\u5728\u4e0b\u9762\u5c31\u6c42\u5bfc<\/strong>\uff0c<strong>\u5728\u524d\u9762\u5c31\u79ef\u5206<\/strong>\u3002\u6709\u65f6\u5019<strong>\u6ca1\u6cd5\u76f4\u63a5\u53bb\u6389<\/strong> n\uff0c\u4e00\u822c\u53ef\u4ee5<strong>\u51d1 x \u7684\u6b21\u6570<\/strong>\u4f7f n \u521a\u597d\u6d88\u9664\u3002\u8c03\u6574\u7684 x \u5728\u6700\u540e\u7684\u7ed3\u679c\u8865\u56de\u6765\uff08\u5206\u7c7b\u8ba8\u8bba x \u662f\u5426\u4e3a 0<\/li>\n<li>\u53e6\u5916\uff1a\u5982\u679c\u524d\u9762\u6216\u4e0b\u9762\u6709\u591a\u4e2a n\uff0c\u6ce8\u610f\u6c42 $v_n$ \u8981\u8fdb\u884c\u5bf9\u5e94\u6b21\u6570\u7684\u6c42\u5bfc \/ \u79ef\u5206\uff0c\u4e0b\u4e00\u6b65\u6c42 S(x) \u4e5f\u4e00\u6837<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u5c06\u4e00\u4e2a\u51fd\u6570\u5c55\u5f00\u6210\u5e42\u7ea7\u6570<\/p>\n<ul>\n<li>\n<p>\u9898\u76ee\u4e2d\u5c55\u5f00\u7684\u8981\u6c42\uff0c\u6362\u6210 a\uff0c\u518d\u5c06 $f(x)$ \u8f6c\u4e3a $f(a)$ <\/p>\n<\/li>\n<li>\n<p>\u5c06 $f(a)$ \u8f6c\u5316\u4e3a $e^a,sina,cosa,ln(1+a),\\frac{1}{1+a},\\frac{1}{1-a}$ \u4e2d\u7684\u4e00\u79cd\uff0c\u6839\u636e\u6cf0\u52d2\u516c\u5f0f\u66ff\u6362<\/p>\n<\/li>\n<li>\n<p>\u7136\u540e\u5c06 a \u8f6c\u6362\u56de x\uff0c\u9650\u5b9a\u8303\u56f4\u4e5f\u8981\u6362<\/p>\n<\/li>\n<li>\n<p>\u6cf0\u52d2\u516c\u5f0f\u5982\u4e0b\uff0c\u522b\u6015\uff0c\u5982\u679c\u8981\u6c42\u4e2d a \u5c31\u662f x\uff0c\u90a3\u76f4\u63a5\u6cf0\u52d2<\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/mgc-1311747586.cos.ap-shanghai.myqcloud.com\/notes\/image-20220706043901923.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/mgc-1311747586.cos.ap-shanghai.myqcloud.com\/notes\/image-20220706043901923.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"image-20220706043901923\" 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[&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":121,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"class_list":["post-67","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-4"],"_links":{"self":[{"href":"http:\/\/blog.minegician.cn\/index.php?rest_route=\/wp\/v2\/posts\/67","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/blog.minegician.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/blog.minegician.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/blog.minegician.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/blog.minegician.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=67"}],"version-history":[{"count":1,"href":"http:\/\/blog.minegician.cn\/index.php?rest_route=\/wp\/v2\/posts\/67\/revisions"}],"predecessor-version":[{"id":68,"href":"http:\/\/blog.minegician.cn\/index.php?rest_route=\/wp\/v2\/posts\/67\/revisions\/68"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/blog.minegician.cn\/index.php?rest_route=\/wp\/v2\/media\/121"}],"wp:attachment":[{"href":"http:\/\/blog.minegician.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=67"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/blog.minegician.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=67"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/blog.minegician.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=67"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}