{"id":1166979,"date":"2025-01-15T15:38:18","date_gmt":"2025-01-15T07:38:18","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/1166979.html"},"modified":"2025-01-15T15:38:20","modified_gmt":"2025-01-15T07:38:20","slug":"python%e5%a6%82%e4%bd%95%e5%ae%9a%e4%b9%89%e6%95%b0%e5%ad%a6%e5%85%ac%e5%bc%8f","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/1166979.html","title":{"rendered":"python\u5982\u4f55\u5b9a\u4e49\u6570\u5b66\u516c\u5f0f"},"content":{"rendered":"<p style=\"text-align:center;\" ><img decoding=\"async\" src=\"https:\/\/cdn-kb.worktile.com\/kb\/wp-content\/uploads\/2024\/04\/25211010\/c9065be1-6fff-4084-b611-d8e051768354.webp\" alt=\"python\u5982\u4f55\u5b9a\u4e49\u6570\u5b66\u516c\u5f0f\" \/><\/p>\n<p><p> <strong>Python\u5b9a\u4e49\u6570\u5b66\u516c\u5f0f\u7684\u65b9\u6cd5\u5305\u62ec\uff1a\u4f7f\u7528\u5185\u7f6e\u6570\u5b66\u6a21\u5757\u3001\u4f7f\u7528SymPy\u5e93\u3001\u4f7f\u7528NumPy\u5e93\u3001\u4f7f\u7528SciPy\u5e93\u3002<\/strong>\u5176\u4e2d\uff0c\u4f7f\u7528SymPy\u5e93\u662f\u6bd4\u8f83\u8be6\u7ec6\u7684\u4e00\u4e2a\u65b9\u5f0f\uff0cSymPy\u662f\u4e00\u4e2aPython\u7684\u7b26\u53f7\u6570\u5b66\u5e93\uff0c\u53ef\u4ee5\u8fdb\u884c\u7b26\u53f7\u8ba1\u7b97\u3002<\/p>\n<\/p>\n<p><h3>\u4e00\u3001\u4f7f\u7528\u5185\u7f6e\u6570\u5b66\u6a21\u5757<\/h3>\n<\/p>\n<p><p>Python\u81ea\u5e26\u7684math\u6a21\u5757\u63d0\u4f9b\u4e86\u8bb8\u591a\u5e38\u7528\u7684\u6570\u5b66\u51fd\u6570\uff0c\u4f8b\u5982\u4e09\u89d2\u51fd\u6570\u3001\u5bf9\u6570\u51fd\u6570\u3001\u6307\u6570\u51fd\u6570\u7b49\u3002\u8fd9\u4e9b\u51fd\u6570\u53ef\u4ee5\u76f4\u63a5\u5728\u4ee3\u7801\u4e2d\u8c03\u7528\uff0c\u975e\u5e38\u65b9\u4fbf\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import math<\/p>\n<h2><strong>\u5b9a\u4e49\u4e00\u4e2a\u8ba1\u7b97\u5706\u9762\u79ef\u7684\u516c\u5f0f<\/strong><\/h2>\n<p>def circle_area(radius):<\/p>\n<p>    return math.pi * radius  2<\/p>\n<h2><strong>\u6d4b\u8bd5<\/strong><\/h2>\n<p>print(circle_area(5))  # \u8f93\u51fa\uff1a78.53981633974483<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u4f7f\u7528\u4e86math\u6a21\u5757\u4e2d\u7684pi\u5e38\u6570\u548c\u8fd0\u7b97\u7b26\u6765\u8ba1\u7b97\u5706\u7684\u9762\u79ef\u3002<\/p>\n<\/p>\n<p><h3>\u4e8c\u3001\u4f7f\u7528SymPy\u5e93<\/h3>\n<\/p>\n<p><p>SymPy\u662f\u4e00\u4e2a\u7528\u4e8e\u7b26\u53f7\u6570\u5b66\u8ba1\u7b97\u7684Python\u5e93\uff0c\u53ef\u4ee5\u8fdb\u884c\u4ee3\u6570\u3001\u5fae\u79ef\u5206\u3001\u77e9\u9635\u8fd0\u7b97\u7b49\u3002\u5b83\u7684\u5f3a\u5927\u4e4b\u5904\u5728\u4e8e\u80fd\u591f\u5904\u7406\u7b26\u53f7\u8868\u8fbe\u5f0f\u3002<\/p>\n<\/p>\n<p><h4>\u5b89\u88c5SymPy\u5e93<\/h4>\n<\/p>\n<p><p>\u5728\u4f7f\u7528SymPy\u4e4b\u524d\uff0c\u9700\u8981\u5148\u5b89\u88c5\u5b83\u3002\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u547d\u4ee4\u5b89\u88c5\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-bash\">pip install sympy<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h4>\u4f7f\u7528SymPy\u5b9a\u4e49\u6570\u5b66\u516c\u5f0f<\/h4>\n<\/p>\n<p><p>\u4e0b\u9762\u662f\u4e00\u4e2a\u4f7f\u7528SymPy\u5b9a\u4e49\u548c\u6c42\u89e3\u6570\u5b66\u516c\u5f0f\u7684\u793a\u4f8b\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">from sympy import symbols, Eq, solve<\/p>\n<h2><strong>\u5b9a\u4e49\u7b26\u53f7\u53d8\u91cf<\/strong><\/h2>\n<p>x, y = symbols(&#39;x y&#39;)<\/p>\n<h2><strong>\u5b9a\u4e49\u65b9\u7a0b<\/strong><\/h2>\n<p>equation = Eq(x + y, 10)<\/p>\n<h2><strong>\u6c42\u89e3\u65b9\u7a0b<\/strong><\/h2>\n<p>solution = solve(equation, x)<\/p>\n<h2><strong>\u8f93\u51fa\u89e3<\/strong><\/h2>\n<p>print(solution)  # \u8f93\u51fa\uff1a[10 - y]<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u6211\u4eec\u4f7f\u7528\u4e86SymPy\u5e93\u7684symbols\u51fd\u6570\u6765\u5b9a\u4e49\u7b26\u53f7\u53d8\u91cfx\u548cy\uff0c\u7136\u540e\u4f7f\u7528Eq\u51fd\u6570\u5b9a\u4e49\u4e86\u4e00\u4e2a\u65b9\u7a0bx + y = 10\u3002\u63a5\u7740\u4f7f\u7528solve\u51fd\u6570\u6c42\u89e3\u65b9\u7a0b\uff0c\u5f97\u5230\u89e3x = 10 &#8211; y\u3002<\/p>\n<\/p>\n<p><h3>\u4e09\u3001\u4f7f\u7528NumPy\u5e93<\/h3>\n<\/p>\n<p><p>NumPy\u662f\u4e00\u4e2a\u7528\u4e8e\u79d1\u5b66\u8ba1\u7b97\u7684Python\u5e93\uff0c\u63d0\u4f9b\u4e86\u591a\u7ef4\u6570\u7ec4\u5bf9\u8c61\u548c\u591a\u79cd\u6570\u5b66\u51fd\u6570\u3002\u867d\u7136NumPy\u4e3b\u8981\u7528\u4e8e\u6570\u503c\u8ba1\u7b97\uff0c\u4f46\u4e5f\u53ef\u4ee5\u7528\u6765\u5b9a\u4e49\u548c\u64cd\u4f5c\u6570\u5b66\u516c\u5f0f\u3002<\/p>\n<\/p>\n<p><h4>\u5b89\u88c5NumPy\u5e93<\/h4>\n<\/p>\n<p><p>\u5728\u4f7f\u7528NumPy\u4e4b\u524d\uff0c\u9700\u8981\u5148\u5b89\u88c5\u5b83\u3002\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u547d\u4ee4\u5b89\u88c5\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-bash\">pip install numpy<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h4>\u4f7f\u7528NumPy\u5b9a\u4e49\u6570\u5b66\u516c\u5f0f<\/h4>\n<\/p>\n<p><p>\u4e0b\u9762\u662f\u4e00\u4e2a\u4f7f\u7528NumPy\u5b9a\u4e49\u548c\u8ba1\u7b97\u6570\u5b66\u516c\u5f0f\u7684\u793a\u4f8b\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import numpy as np<\/p>\n<h2><strong>\u5b9a\u4e49\u4e00\u4e2a\u8ba1\u7b97\u76f4\u7ebf\u659c\u7387\u7684\u516c\u5f0f<\/strong><\/h2>\n<p>def slope(x1, y1, x2, y2):<\/p>\n<p>    return (y2 - y1) \/ (x2 - x1)<\/p>\n<h2><strong>\u6d4b\u8bd5<\/strong><\/h2>\n<p>print(slope(1, 2, 4, 6))  # \u8f93\u51fa\uff1a1.3333333333333333<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u6211\u4eec\u4f7f\u7528NumPy\u5e93\u6765\u5b9a\u4e49\u4e86\u4e00\u4e2a\u8ba1\u7b97\u76f4\u7ebf\u659c\u7387\u7684\u516c\u5f0f\uff0c\u5e76\u8fdb\u884c\u4e86\u6d4b\u8bd5\u3002<\/p>\n<\/p>\n<p><h3>\u56db\u3001\u4f7f\u7528SciPy\u5e93<\/h3>\n<\/p>\n<p><p>SciPy\u662f\u4e00\u4e2a\u7528\u4e8e\u79d1\u5b66\u548c\u5de5\u7a0b\u8ba1\u7b97\u7684Python\u5e93\uff0c\u63d0\u4f9b\u4e86\u8bb8\u591a\u9ad8\u7ea7\u6570\u5b66\u51fd\u6570\u548c\u7b97\u6cd5\u3002\u5b83\u5efa\u7acb\u5728NumPy\u7684\u57fa\u7840\u4e0a\uff0c\u53ef\u4ee5\u8fdb\u884c\u66f4\u591a\u590d\u6742\u7684\u6570\u5b66\u8fd0\u7b97\u3002<\/p>\n<\/p>\n<p><h4>\u5b89\u88c5SciPy\u5e93<\/h4>\n<\/p>\n<p><p>\u5728\u4f7f\u7528SciPy\u4e4b\u524d\uff0c\u9700\u8981\u5148\u5b89\u88c5\u5b83\u3002\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u547d\u4ee4\u5b89\u88c5\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-bash\">pip install scipy<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h4>\u4f7f\u7528SciPy\u5b9a\u4e49\u6570\u5b66\u516c\u5f0f<\/h4>\n<\/p>\n<p><p>\u4e0b\u9762\u662f\u4e00\u4e2a\u4f7f\u7528SciPy\u5b9a\u4e49\u548c\u6c42\u89e3\u5fae\u5206\u65b9\u7a0b\u7684\u793a\u4f8b\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">from scipy.integrate import odeint<\/p>\n<p>import numpy as np<\/p>\n<p>import matplotlib.pyplot as plt<\/p>\n<h2><strong>\u5b9a\u4e49\u5fae\u5206\u65b9\u7a0b<\/strong><\/h2>\n<p>def model(y, t):<\/p>\n<p>    dydt = -y<\/p>\n<p>    return dydt<\/p>\n<h2><strong>\u521d\u59cb\u6761\u4ef6<\/strong><\/h2>\n<p>y0 = 5<\/p>\n<h2><strong>\u65f6\u95f4\u70b9<\/strong><\/h2>\n<p>t = np.linspace(0, 10, 100)<\/p>\n<h2><strong>\u6c42\u89e3\u5fae\u5206\u65b9\u7a0b<\/strong><\/h2>\n<p>y = odeint(model, y0, t)<\/p>\n<h2><strong>\u7ed8\u5236\u7ed3\u679c<\/strong><\/h2>\n<p>plt.plot(t, y)<\/p>\n<p>plt.xlabel(&#39;time&#39;)<\/p>\n<p>plt.ylabel(&#39;y(t)&#39;)<\/p>\n<p>plt.show()<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u6211\u4eec\u4f7f\u7528SciPy\u5e93\u7684odeint\u51fd\u6570\u6c42\u89e3\u4e86\u4e00\u4e2a\u7b80\u5355\u7684\u5fae\u5206\u65b9\u7a0b\uff0c\u5e76\u4f7f\u7528Matplotlib\u5e93\u7ed8\u5236\u4e86\u7ed3\u679c\u3002<\/p>\n<\/p>\n<p><h3>\u603b\u7ed3<\/h3>\n<\/p>\n<p><p>\u4ee5\u4e0a\u4ecb\u7ecd\u4e86Python\u4e2d\u5b9a\u4e49\u6570\u5b66\u516c\u5f0f\u7684\u51e0\u79cd\u5e38\u89c1\u65b9\u6cd5\uff0c\u5305\u62ec\u4f7f\u7528\u5185\u7f6e\u6570\u5b66\u6a21\u5757\u3001\u4f7f\u7528SymPy\u5e93\u3001\u4f7f\u7528NumPy\u5e93\u3001\u4f7f\u7528SciPy\u5e93\u3002\u6bcf\u79cd\u65b9\u6cd5\u90fd\u6709\u5176\u72ec\u7279\u7684\u4f18\u52bf\uff0c\u9002\u7528\u4e8e\u4e0d\u540c\u7684\u5e94\u7528\u573a\u666f\u3002\u901a\u8fc7\u9009\u62e9\u5408\u9002\u7684\u65b9\u6cd5\uff0c\u53ef\u4ee5\u65b9\u4fbf\u5730\u5728Python\u4e2d\u5b9a\u4e49\u548c\u64cd\u4f5c\u5404\u79cd\u6570\u5b66\u516c\u5f0f\u3002<\/p>\n<\/p>\n<h2><strong>\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n<p> <strong>\u5982\u4f55\u5728Python\u4e2d\u5b9a\u4e49\u590d\u6742\u7684\u6570\u5b66\u516c\u5f0f\uff1f<\/strong><br \/>\u5728Python\u4e2d\uff0c\u53ef\u4ee5\u4f7f\u7528\u51fd\u6570\u6765\u5b9a\u4e49\u590d\u6742\u7684\u6570\u5b66\u516c\u5f0f\u3002\u901a\u8fc7<code>def<\/code>\u5173\u952e\u5b57\u521b\u5efa\u4e00\u4e2a\u51fd\u6570\uff0c\u5e76\u5728\u51fd\u6570\u4f53\u5185\u7f16\u5199\u6570\u5b66\u516c\u5f0f\u7684\u903b\u8f91\uff0c\u53ef\u4ee5\u5b9e\u73b0\u8fd9\u4e00\u76ee\u6807\u3002\u6b64\u5916\uff0c\u5229\u7528\u5e93\u5982NumPy\u548cSymPy\uff0c\u53ef\u4ee5\u5904\u7406\u66f4\u590d\u6742\u7684\u6570\u5b66\u8fd0\u7b97\u548c\u7b26\u53f7\u8ba1\u7b97\u3002\u4e3e\u4e2a\u4f8b\u5b50\uff0c\u4f7f\u7528<code>import numpy as np<\/code>\u5bfc\u5165NumPy\u5e93\u540e\uff0c\u53ef\u4ee5\u8f7b\u677e\u5b9a\u4e49\u548c\u8ba1\u7b97\u77e9\u9635\u8fd0\u7b97\u6216\u5176\u4ed6\u9ad8\u7ea7\u6570\u5b66\u64cd\u4f5c\u3002<\/p>\n<p><strong>\u5728Python\u4e2d\u662f\u5426\u53ef\u4ee5\u4f7f\u7528\u7b26\u53f7\u6570\u5b66\u5e93\u6765\u7b80\u5316\u516c\u5f0f\uff1f<\/strong><br \/>\u662f\u7684\uff0cPython\u6709\u591a\u4e2a\u7b26\u53f7\u6570\u5b66\u5e93\uff0c\u5982SymPy\u3002\u4f7f\u7528SymPy\uff0c\u7528\u6237\u53ef\u4ee5\u4ee5\u7b26\u53f7\u7684\u5f62\u5f0f\u5b9a\u4e49\u548c\u64cd\u4f5c\u6570\u5b66\u516c\u5f0f\u3002\u8fd9\u4f7f\u5f97\u7b26\u53f7\u8ba1\u7b97\u53d8\u5f97\u7b80\u5355\uff0c\u7528\u6237\u53ef\u4ee5\u8f7b\u677e\u5730\u8fdb\u884c\u5fae\u5206\u3001\u79ef\u5206\u4ee5\u53ca\u65b9\u7a0b\u6c42\u89e3\u7b49\u64cd\u4f5c\u3002\u4f8b\u5982\uff0c\u901a\u8fc7<code>from sympy import symbols, diff<\/code>\uff0c\u53ef\u4ee5\u5b9a\u4e49\u53d8\u91cf\u5e76\u8ba1\u7b97\u5176\u5bfc\u6570\u3002<\/p>\n<p><strong>\u5982\u4f55\u5c06\u5b9a\u4e49\u7684\u6570\u5b66\u516c\u5f0f\u5e94\u7528\u4e8e\u6570\u636e\u5206\u6790\u6216\u79d1\u5b66\u8ba1\u7b97\uff1f<\/strong><br \/>\u5b9a\u4e49\u7684\u6570\u5b66\u516c\u5f0f\u53ef\u4ee5\u901a\u8fc7\u51fd\u6570\u8c03\u7528\u76f4\u63a5\u5e94\u7528\u4e8e\u6570\u636e\u5206\u6790\u6216\u79d1\u5b66\u8ba1\u7b97\u4e2d\u3002\u7528\u6237\u53ef\u4ee5\u5c06\u516c\u5f0f\u5c01\u88c5\u5728\u51fd\u6570\u4e2d\uff0c\u63a5\u6536\u8f93\u5165\u6570\u636e\uff0c\u8fd4\u56de\u8ba1\u7b97\u7ed3\u679c\u3002\u7ed3\u5408Pandas\u5e93\uff0c\u7528\u6237\u53ef\u4ee5\u5c06\u6570\u636e\u6846\u67b6\u4e2d\u7684\u6570\u636e\u4f5c\u4e3a\u53c2\u6570\u4f20\u9012\u7ed9\u51fd\u6570\uff0c\u4ece\u800c\u5b9e\u73b0\u6279\u91cf\u5904\u7406\u548c\u5206\u6790\uff0c\u63d0\u5347\u5de5\u4f5c\u6548\u7387\u3002\u4f8b\u5982\uff0c\u4f7f\u7528<code>import pandas as pd<\/code>\u5bfc\u5165Pandas\u5e93\u540e\uff0c\u53ef\u4ee5\u8f7b\u677e\u5730\u5e94\u7528\u81ea\u5b9a\u4e49\u7684\u6570\u5b66\u51fd\u6570\u4e8e\u6570\u636e\u96c6\u4e2d\u7684\u6bcf\u4e2a\u5143\u7d20\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"Python\u5b9a\u4e49\u6570\u5b66\u516c\u5f0f\u7684\u65b9\u6cd5\u5305\u62ec\uff1a\u4f7f\u7528\u5185\u7f6e\u6570\u5b66\u6a21\u5757\u3001\u4f7f\u7528SymPy\u5e93\u3001\u4f7f\u7528NumPy\u5e93\u3001\u4f7f\u7528SciPy\u5e93\u3002\u5176 [&hellip;]","protected":false},"author":3,"featured_media":1166984,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[37],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1166979"}],"collection":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/comments?post=1166979"}],"version-history":[{"count":"1","href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1166979\/revisions"}],"predecessor-version":[{"id":1166985,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1166979\/revisions\/1166985"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media\/1166984"}],"wp:attachment":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media?parent=1166979"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/categories?post=1166979"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/tags?post=1166979"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}