{"id":104,"date":"2025-02-06T17:52:18","date_gmt":"2025-02-06T09:52:18","guid":{"rendered":"https:\/\/index.cmiteam.cn\/?p=1097"},"modified":"2025-02-06T17:52:18","modified_gmt":"2025-02-06T09:52:18","slug":"%e3%80%90%e6%95%b0%e5%ad%a6%e3%80%91%e6%9c%89%e7%90%86%e5%88%86%e5%bc%8f%e7%9a%84%e6%8b%86%e8%a7%a3%e6%8a%80%e5%b7%a7%ef%bc%88%e8%bd%ac%e8%bd%bd%e8%87%aacsdn%e4%bd%95%e4%b8%baxl%ef%bc%89","status":"publish","type":"post","link":"https:\/\/index.cmiteam.cn\/index.php\/2025\/02\/06\/%e3%80%90%e6%95%b0%e5%ad%a6%e3%80%91%e6%9c%89%e7%90%86%e5%88%86%e5%bc%8f%e7%9a%84%e6%8b%86%e8%a7%a3%e6%8a%80%e5%b7%a7%ef%bc%88%e8%bd%ac%e8%bd%bd%e8%87%aacsdn%e4%bd%95%e4%b8%baxl%ef%bc%89\/","title":{"rendered":"\u3010\u6570\u5b66\u3011\u6709\u7406\u5206\u5f0f\u7684\u62c6\u89e3\u6280\u5de7\uff08\u8f6c\u8f7d\u81eaCSDN\u4f55\u4e3axl\uff09"},"content":{"rendered":"\n
\n

? \u3010\u6570\u5b66\u3011\u6709\u7406\u5206\u5f0f\u7684\u62c6\u89e3\u6280\u5de7<\/strong><\/p>\n<\/blockquote>\n\n\n\n

\u8f6c\u8f7d\u81eaCSDN\u4f55\u4e3axl\uff0c\u82e5\u4fb5\u6743\u8bf7\u8054\u7cfbmanager@cmiteam.top\u8fdb\u884c\u5220\u9664\u3002<\/p>\n\n\n\n

\u4ec5\u505a\u4e2a\u4eba\u5b66\u4e60\u603b\u7ed3\u4f7f\u7528<\/p>\n\n\n\n

\u53c2\u8003\u7684\u6587\u7ae0\uff1a<\/p>\n\n\n\n

https:\/\/www.jianshu.com\/p\/1f6025995502<\/a><\/p>\n\n\n\n

https:\/\/zhuanlan.zhihu.com\/p\/69471608<\/a><\/p>\n\n\n\n

\u76f8\u4fe1\u5927\u5bb6\u90fd\u4e0d\u4f1a\u964c\u751f\uff0c\u7ecf\u5e38\u9047\u89c1\u542b\u6709\u8fd9\u4e9b\u5206\u5f0f\u7684\u79ef\u5206\u7c7b\u578b<\/p>\n\n\n\n

\u73b0\u5728\u8bf4\u8bf4\u6709\u54ea\u4e9b\u6280\u5de7\u53ef\u4ee5\u7b80\u5355\u5e94\u4ed8<\/p>\n\n\n\n

\u4e00\u4e2a\u771f\u5206\u5f0f\uff0c\u5206\u5b50\u7684\u6b21\u6570 < \u5206\u6bcd\u7684\u6b21\u6570<\/strong><\/p>\n\n\n\n

\u6211\u4eec\u628a\u4e00\u4e2a\u771f\u5206\u5f0f\u62c6\u89e3\u4e3a\u51e0\u4e2a\u5c0f\u5206\u5f0f\uff0c\u901a\u5e38\u7b2c\u4e00\u6b65\u4f1a\u5148\u628a\u5206\u6bcd\u8fdb\u884c\u56e0\u5f0f\u5206\u89e3<\/a>\uff0c\u7136\u540e\u6309\u7167\u90a3\u4e2a\u56e0\u5f0f\u5206\u88c2\u4e3a\u5c0f\u5206\u5f0f<\/p>\n\n\n\n

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

\u5bf9\u4e8e\u5c0f\u5206\u5f0f\uff0c\u5206\u5b50\u7684\u6b21\u6570<\/strong>\u603b\u4f1a\u6bd4\u5206\u6bcd\u7684\u6b21\u6570\u5c111\u6b21\u65b9<\/strong>\uff1adeg(\u5206\u5b50) = deg(\u5206\u6bcd) - 1<\/strong><\/p>\n\n\n\n

\u4f8b\u5982\u5206\u6bcd\u662f\u4e8c\u9636a x 2 + b x + c ax^2+bx+cax2+bx+c\uff0c\u5219\u5206\u5b50\u4e3aA x + B Ax+BAx+B<\/p>\n\n\n\n

\u82e5\u5206\u6bcd\u662f\u4e00\u9636a x + b ax+bax+b\uff0c\u5219\u5206\u5b50\u4e3a\u5e38\u6570A<\/p>\n\n\n\n

\u4e0d\u8fc7\uff0c\u5bf9\u4e8e\u9ad8\u9636\u6781\u70b9\u6765\u8bf4\uff0c\u5c0f\u5206\u5f0f\u7684\u4e2a\u6570 = \u5206\u6bcd\u7684\u56e0\u5f0f\u4e2a\u6570<\/p>\n\n\n\n

\u4f8b\u5982( x + 5 ) 3 (x + 5)^3(x+5)3\uff0c\u56e0\u5f0f\u4e3a( x + 5 ) 3 (x + 5)^3(x+5)3\uff0c( x + 5 ) 2 (x + 5)^2(x+5)2\uff0c( x + 5 ) (x + 5)(x+5)\uff0c\u5171\u4e09\u4e2a\u56e0\u5f0f<\/p>\n\n\n\n

$(x^2+4 )4\uff0c\u56e0\u5f0f\u4e3a(x2+4)4\uff0c(x2+4)3\uff0c(x2+4)2\uff0c(x^2+4)\uff0c\u5171\u56db\u4e2a\u56e0\u5f0f<\/p>\n\n\n\n

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

\u5e38\u7528\u7684\u65b9\u6cd5\u65e0\u975e\u90fd\u662f\u90a3\u51e0\u79cd\uff1a<\/p>\n\n\n\n

\u6dfb\u9879\u51cf\u9879\u6cd5\uff1a\u8fd9\u4e2a\u65b9\u6cd5\u5bf91 ( x + a ) ( x + b ) frac{1}{(x+a)(x+b)}(x+a)(x+b)1\u578b\u6709\u6548<\/p>\n\n\n\n

\u5f85\u5b9a\u7cfb\u6570\u6cd5\uff1a\u5373\u5c0f\u5206\u5f0f\u901a\u5206\u540e\uff0c\u628a\u5206\u5b50\u4e0e\u539f\u5f0f\u7684\u5206\u5b50\u6052\u7b49\uff0c\u4ece\u800c\u89e3\u51fa\u5bf9\u5e94\u7cfb\u6570<\/p>\n\n\n\n

\u7559\u6570\u6cd5\uff1a\u5373\u901a\u8fc7\u6d88\u53bb\u96f6\u56e0\u5f0f\u6765\u89e3\u51fa\u7cfb\u6570\uff0c\u5206\u6bcd\u8981\u6c42\u4e3a\u7ebf\u6027(ax+b)\u578b\u56e0\u5f0f\uff0c\u53ef\u4ee5\u662f\u9ad8\u9636\u6781\u70b9\uff0c\u8fd9\u4e2a\u65b9\u6cd5\u5176\u5b9e\u8ddfz\u53d8\u6362<\/a>\u7c7b\u4f3c<\/p>\n\n\n\n

\u6dfb\u9879\u51cf\u9879\u6cd5 \u548c \u5f85\u5b9a\u7cfb\u6570\u6cd5\uff1a<\/p>\n\n\n\n

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

\u7559\u6570\u6cd5\uff1a<\/p>\n\n\n\n

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

\u7559\u6570\u6cd5\u5bf9\u4e8e\u4e00\u6b21\u56e0\u5f0f\uff0c\u4e00\u9636\u6781\u70b9\u7684\u56e0\u5f0f\u65f6\u6700\u597d\u7528\u7684<\/p>\n\n\n\n

\u4f8b\u5982\uff1a<\/p>\n\n\n\n

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

\u800c\u5f85\u5b9a\u7cfb\u6570\u6cd5\uff0c\u5219\u9700\u8981\u5bf9\u8054\u7acb\u591a\u5143\u65b9\u7a0b\u6709\u5f88\u597d\u7684\u8fd0\u7b97\u6280\u5de7<\/p>\n\n\n\n

\u901a\u5e38\u5bf9\u4e8e\u4e8c\u6b21\u6216\u4ee5\u4e0a\u7684\u56e0\u5f0f\u6700\u597d\u7528<\/p>\n\n\n\n

\u4f8b\u5982\uff1a<\/p>\n\n\n\n

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

\u4e0b\u9762\u662f\u7ec3\u4e60\uff0c\u4f60\u4eec\u53ef\u4ee5\u8bd5\u8bd5\uff1a<\/p>\n\n\n\n

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

\u5982\u679c\u5206\u5b50\u7684\u6b21\u6570 \u2265 \u5206\u6bcd\u7684\u6b21\u6570<\/strong>\uff0c\u8fd9\u662f\u5047\u5206\u5f0f\uff0c\u8bbe\u6cd5\u81ea\u7136\u4f1a\u6709\u4e9b\u6539\u53d8<\/p>\n\n\n\n

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

\u8fd9\u4e2a\u53ef\u4f9d\u65e7\u8fd0\u7528\u5f85\u5b9a\u7cfb\u6570\u6cd5\uff1a<\/p>\n\n\n\n

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

\u6216\u8005\u591a\u9879\u5f0f<\/a>\u9664\u6cd5\uff1a<\/p>\n\n\n\n

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

\u56fe5\u7559\u6570\u6cd5\u7b2c\u4e8c\u9053\u9898\u89e3\u7b54\u6709\u70b9\u9519\u8bef\uff0c\u5e94\u8be5\u5bf9A\u90a3\u4e2a\u5f0f\u5b50\u6c42\u5bfc\u3002\u5e0c\u671b\u4f5c\u8005\u66f4\u6b63\u4e0b\u3002\u263a\u263a\u263a<\/p>\n\n\n\n

https:\/\/zhuanlan.zhihu.com\/p\/69471608<\/a><\/p>\n\n\n\n

\u5206\u89e3\u6b65\u9aa4\u603b\u89c8\uff1a<\/p>\n\n\n\n

    \n
  1. \u5224\u522b\u771f\u5047\u5206\u5f0f.<\/li>\n\n\n\n
  2. \u771f\u5206\u5f0f\u5206\u89e3\u51fa\u5f85\u5b9a\u5f0f.<\/li>\n\n\n\n
  3. \u5f85\u5b9a\u7cfb\u6570\u6c42\u89e3\u65b9\u6cd5: \u5b9e\u6839\u6cd5(\u4e00\u6b21\u5f0f), \u590d\u6839\u6cd5(\u4e8c\u6b21\u5f0f), \u6c42\u5bfc\u6cd5(\u4e00\u6b21n\u91cd), \u6781\u9650\u6cd5(\u4e00\u3001\u4e8c\u6b21\u7684\u4e8c\u91cd)<\/li>\n\n\n\n
  4. \u5224\u522b\u771f\u5047\u5206\u5f0f<\/li>\n<\/ol>\n\n\n\n

    \u5f62\u5982P ( x ) Q ( x ) frac{P(x)}{Q(x)}Q(x)P(x)<\/p>\n\n\n\n

    \u7684\u5206\u5f0f, \u82e5\u5206\u5b50\u6307\u6570\u7b49\u4e8e\u6216\u9ad8\u4e8e\u5206\u6bcd, \u5219\u8981\u5316\u4e3a\u771f\u5206\u5f0f.[1]<\/p>\n\n\n\n

    \u5316\u7b80\u65b9\u6cd5: \u505a\u591a\u9879\u5f0f\u9664\u6cd5[2]<\/p>\n\n\n\n

    \u4f8b\u5982:<\/p>\n\n\n\n

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

    2. \u771f\u5206\u5f0f\u5206\u89e3<\/p>\n\n\n\n

    [\u516c\u5f0f] \u91cd\u4e00\u6b21\u56e0\u5f0f\n<\/code><\/pre>\n\n\n\n
    \u5f62\u5982:P ( x ) ( A x + b ) k frac{P(x)}{(Ax+b)^k}(Ax+b)kP(x)<\/p>\n\n\n\n
    \u5f53k = 1 k = 1k=1\u65f6<\/p>\n\n\n\n
    \"\"\/<\/figure>\n\n\n\n
    \u5176\u4e2dA i A_iAi\u4e3a\u5f85\u5b9a\u7cfb\u6570.<\/p>\n\n\n\n
    \u5f53k > 1 k > 1k>1\u65f6<\/p>\n\n\n\n
    \"\"\/<\/figure>\n\n\n\n
    \u4f8b\u5982:<\/p>\n\n\n\n
    \"\"\/<\/figure>\n\n\n\n
    A i , B i , C i A_i, B_i, C_iAi,Bi,Ci\u4e3a\u5f85\u5b9a\u7cfb\u6570.<\/p>\n\n\n\n
    k kk\u4e8c\u6b21\u56e0\u5f0f<\/p>\n\n\n\n
    \u5f62\u5982<\/p>\n\n\n\n
    P ( x ) ( a x 2 + b x + c ) k frac{P(x)}{(ax^2+bx+c)^k}(ax2+bx+c)kP(x)<\/p>\n\n\n\n
    \u5f53k = 1 k=1k=1\u65f6,<\/p>\n\n\n\n
    \"\"\/<\/figure>\n\n\n\n
    \u5f53k > 1 k>1k>1\u65f6,<\/p>\n\n\n\n
    \"\"\/<\/figure>\n\n\n\n
    \u4f8b\u5982:<\/p>\n\n\n\n
    \"\"\/<\/figure>\n\n\n\n
      \n
    1. \u5f85\u5b9a\u7cfb\u6570\u6c42\u89e3[3] \u65e0\u7279\u5f81\u2014\u2014\u53cd\u89e3\u65b9\u7a0b\u6cd5<\/li>\n<\/ol>\n\n\n\n
      \u5c06\u5404\u9879\u901a\u5206\u5408\u5e76, \u5c06\u5206\u5b50\u4e0e\u539f\u5f0f\u7684\u5206\u5b50\u505a\u7cfb\u6570\u6bd4\u5bf9, \u5199\u51fa\u5173\u4e8e\u5f85\u5b9a\u7cfb\u6570\u7684\u65b9\u7a0b, \u8fdb\u884c\u6c42\u89e3<\/p>\n\n\n\n
      \u591a\u4e2a\u4e0d\u540c\u7684\u4e00\u6b21\u5f0f, \u4e14\u65e0\u91cd\u56e0\u5f0f\u2014\u2014\u5b9e\u6839\u4ee3\u5165\u6cd5<\/p>\n\n\n\n
      \"\"\/<\/figure>\n\n\n\n
      \"\"\/<\/figure>\n\n\n\n
      \"\"\/<\/figure>\n\n\n\n
      \"\"\/<\/figure>\n\n\n\n
      \"\"\/<\/figure>\n\n\n\n
      \"\"\/<\/figure>\n\n\n\n
      \"\"\/<\/figure>\n\n\n\n
      \"\"\/<\/figure>\n\n\n\n
      \"\"\/<\/figure>\n\n\n\n
      \"\"\/<\/figure>\n\n\n\n
      \"\"\/<\/figure>\n\n\n\n
      \"\"\/<\/figure>\n\n\n\n
      \"\"\/<\/figure>\n\n\n\n
      \"\"\/<\/figure>\n\n\n\n
      \"\"\/<\/figure>\n\n\n\n
      \"\"\/<\/figure>\n\n\n\n
      \"\"\/<\/figure>\n\n\n\n
      \"\"\/<\/figure>\n\n\n\n
      \"\"\/<\/figure>\n","protected":false},"excerpt":{"rendered":"
      ? \u3010\u6570\u5b66\u3011\u6709\u7406\u5206\u5f0f\u7684\u62c6\u89e3\u6280\u5de7 \u8f6c\u8f7d\u81eaCSDN\u4f55\u4e3axl\uff0c\u82e5\u4fb5\u6743\u8bf7\u8054\u7cfbmanager@cmiteam.top\u8fdb\u884c\u5220\u9664\u3002 \u4ec5\u505a\u4e2a\u4eba\u5b66\u4e60 ...<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"emotion":"","emotion_color":"","title_style":"","license":""},"categories":[19],"tags":[],"class_list":["post-104","post","type-post","status-publish","format-standard","hentry","category-19"],"_links":{"self":[{"href":"https:\/\/index.cmiteam.cn\/index.php\/wp-json\/wp\/v2\/posts\/104","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/index.cmiteam.cn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/index.cmiteam.cn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/index.cmiteam.cn\/index.php\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/index.cmiteam.cn\/index.php\/wp-json\/wp\/v2\/comments?post=104"}],"version-history":[{"count":0,"href":"https:\/\/index.cmiteam.cn\/index.php\/wp-json\/wp\/v2\/posts\/104\/revisions"}],"wp:attachment":[{"href":"https:\/\/index.cmiteam.cn\/index.php\/wp-json\/wp\/v2\/media?parent=104"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/index.cmiteam.cn\/index.php\/wp-json\/wp\/v2\/categories?post=104"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/index.cmiteam.cn\/index.php\/wp-json\/wp\/v2\/tags?post=104"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}