{"id":205012,"date":"2025-05-29T17:12:48","date_gmt":"2025-05-29T09:12:48","guid":{"rendered":"https:\/\/server.hk\/cnblog\/205012\/"},"modified":"2025-05-29T17:12:48","modified_gmt":"2025-05-29T09:12:48","slug":"%e5%a6%82%e4%bd%95%e4%bd%bf%e7%94%a8sympy%e8%a7%a3%e5%a4%8d%e6%9d%82%e7%9a%84%e7%ac%a6%e5%8f%b7%e6%96%b9%e7%a8%8b%e7%bb%84%ef%bc%9f","status":"publish","type":"post","link":"https:\/\/server.hk\/cnblog\/205012\/","title":{"rendered":"\u5982\u4f55\u4f7f\u7528Sympy\u89e3\u590d\u6742\u7684\u7b26\u53f7\u65b9\u7a0b\u7ec4\uff1f"},"content":{"rendered":"

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

\u5982\u4f55\u4f7f\u7528Sympy\u89e3\u590d\u6742\u7684\u7b26\u53f7\u65b9\u7a0b\u7ec4\uff1f<\/h1>\n

\u4eca\u5929\u5c06\u7ed9\u5927\u5bb6\u5e26\u6765\uff0c\u611f\u5174\u8da3\u7684\u670b\u53cb\u8bf7\u7ee7\u7eed\u770b\u4e0b\u53bb\u5427\uff01\u4ee5\u4e0b\u5185\u5bb9\u5c06\u4f1a\u6d89\u53ca\u5230<\/span>\u7b49\u7b49\u77e5\u8bc6\u70b9\uff0c\u5982\u679c\u4f60\u662f\u6b63\u5728\u5b66\u4e60\u6587\u7ae0<\/span>\u6216\u8005\u5df2\u7ecf\u662f\u5927\u4f6c\u7ea7\u522b\u4e86\uff0c\u90fd\u975e\u5e38\u6b22\u8fce\u4e5f\u5e0c\u671b\u5927\u5bb6\u90fd\u80fd\u7ed9\u6211\u5efa\u8bae\u8bc4\u8bba\u54c8~\u5e0c\u671b\u80fd\u5e2e\u52a9\u5230\u5927\u5bb6\uff01<\/p>\n

<\/p>\n

\u65b9\u7a0b\u7ec4\u7b26\u53f7\u89e3\uff1asympy\u5982\u4f55\u89e3\u51b3\u590d\u6742\u65b9\u7a0b<\/strong><\/p>\n

\u5728sympy\u4e2d\u6c42\u89e3\u590d\u6742\u7b26\u53f7\u65b9\u7a0b\u7ec4\u65f6\uff0c\u9700\u8981\u8003\u8651\u5982\u4f55\u5c06\u65b9\u7a0b\u4e2d\u7684\u7b26\u53f7\u53d8\u91cf\u4ee3\u5165\u5230\u51fd\u6570\u4e2d\u3002<\/p>\n

\u5bf9\u4e8e\u7ed9\u5b9a\u7684\u65b9\u7a0b\u7ec4\uff1a<\/p>\n

eq(y_1(m), y_2(n))\neq(y_2(t), 0)<\/pre>\n
\u5176\u4e2dy_1\u548cy_2\u662f\u4f7f\u7528function\u7c7b\u8868\u793a\u7684\u51fd\u6570\uff0c\u800cx_1, x_2, m, n, t\u548ck\u662f\u7b26\u53f7\u53d8\u91cf\u3002<\/p>\n
\u4e3a\u4e86\u5c06kx_1 + b\u548ckx_2\u4ee3\u5165\u5230\u51fd\u6570y_1\u548cy_2\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528sympy\u7684subs\u65b9\u6cd5\u3002\u8be5\u65b9\u6cd5\u5141\u8bb8\u5c06\u6307\u5b9a\u53d8\u91cf\u66ff\u6362\u4e3a\u5176\u4ed6\u8868\u8fbe\u5f0f\u3002<\/p>\n
\u4f8b\u5982\uff0c\u6211\u4eec\u53ef\u4ee5\u5b9a\u4e49\u51fd\u6570y_1\u548cy_2\u5982\u4e0b\uff1a<\/p>\n
y1 = k*x1 + b\ny2 = k*x2<\/pre>\n
\u7136\u540e\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528subs\u65b9\u6cd5\u5c06m\u548cn\u5206\u522b\u4ee3\u5165y_1\u548cy_2\u4e2d\uff1a<\/p>\n
eq1 = y1.subs(x1, m) + m - y2.subs(x2, n)\neq2 = y2.subs(x2, t) + t<\/pre>\n
\u6700\u540e\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528sympy\u7684solve\u51fd\u6570\u6c42\u89e3\u65b9\u7a0b\u7ec4\uff1a<\/p>\n
sol = sympy.solve([eq1, eq2, y1-k*x1-b, y2-k*x2], [k, b])\n\n# \u6253\u5370k\u548cb\u7684\u89e3\nprint(f\"k = {sol[k]}\")\nprint(f\"b = {sol[b]}\")<\/pre>\n
\u8fd9\u6837\uff0c\u6211\u4eec\u4fbf\u53ef\u5f97\u5230\u65b9\u7a0b\u7ec4\u7684\u7b26\u53f7\u89e3k\u548cb\u7684\u503c\u3002<\/p>\n
\u4ee5\u4e0a\u5c31\u662f\u672c\u6587\u7684\u5168\u90e8\u5185\u5bb9\u4e86\uff0c\u662f\u5426\u6709\u987a\u5229\u5e2e\u52a9\u4f60\u89e3\u51b3\u95ee\u9898\uff1f\u82e5\u662f\u80fd\u7ed9\u4f60\u5e26\u6765\u5b66\u4e60\u4e0a\u7684\u5e2e\u52a9\uff0c\u8bf7\u5927\u5bb6\u591a\u591a\u652f\u6301\uff01\u66f4\u591a\u5173\u4e8e\u6587\u7ae0\u7684\u76f8\u5173\u77e5\u8bc6\uff0c\u4e5f\u53ef\u5173\u6ce8\u516c\u4f17\u53f7\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"
\u5982\u4f55\u4f7f\u7528Sympy\u89e3\u590d\u6742\u7684\u7b26\u53f7\u65b9...<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4925],"tags":[],"class_list":["post-205012","post","type-post","status-publish","format-standard","hentry","category-4925"],"_links":{"self":[{"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/posts\/205012","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/comments?post=205012"}],"version-history":[{"count":0,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/posts\/205012\/revisions"}],"wp:attachment":[{"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/media?parent=205012"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/categories?post=205012"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/tags?post=205012"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}