{"id":1141220,"date":"2025-01-08T22:29:00","date_gmt":"2025-01-08T14:29:00","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/1141220.html"},"modified":"2025-01-08T22:29:03","modified_gmt":"2025-01-08T14:29:03","slug":"%e5%a6%82%e4%bd%95%e7%94%a8%e7%ae%80%e5%8d%95%e7%9a%84python%e7%bb%98%e5%88%b6%e4%b8%80%e6%a3%b5%e6%a0%91","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/1141220.html","title":{"rendered":"\u5982\u4f55\u7528\u7b80\u5355\u7684Python\u7ed8\u5236\u4e00\u68f5\u6811"},"content":{"rendered":"<p style=\"text-align:center;\" ><img decoding=\"async\" src=\"https:\/\/cdn-kb.worktile.com\/kb\/wp-content\/uploads\/2024\/04\/25104004\/f4bc2398-b120-4eb4-899a-9bdd18197689.webp\" alt=\"\u5982\u4f55\u7528\u7b80\u5355\u7684Python\u7ed8\u5236\u4e00\u68f5\u6811\" \/><\/p>\n<p><p> <strong>\u4f7f\u7528\u7b80\u5355\u7684Python\u7ed8\u5236\u4e00\u68f5\u6811\u7684\u65b9\u6cd5\u5305\u62ec\uff1a\u5229\u7528\u9012\u5f52\u7b97\u6cd5\u751f\u6210\u6811\u7ed3\u6784\u3001\u4f7f\u7528\u56fe\u5f62\u5e93\u5982Turtle\u6216Matplotlib\u8fdb\u884c\u7ed8\u56fe\u3001\u7ed3\u5408\u6811\u6570\u636e\u7ed3\u6784\u8fdb\u884c\u52a8\u6001\u751f\u6210\u3002<\/strong>\u5176\u4e2d\uff0c\u5229\u7528Turtle\u5e93\u7ed8\u5236\u6811\u5f62\u7ed3\u6784\u662f\u6700\u76f4\u89c2\u548c\u6613\u4e8e\u7406\u89e3\u7684\u65b9\u5f0f\u3002Turtle\u5e93\u662f\u4e00\u79cd\u57fa\u4e8e\u4e4c\u9f9f\u7ed8\u56fe\u7684Python\u56fe\u5f62\u5e93\uff0c\u975e\u5e38\u9002\u5408\u521d\u5b66\u8005\u8fdb\u884c\u7b80\u5355\u7684\u56fe\u5f62\u7ed8\u5236\u3002\u4e0b\u9762\u5c06\u8be6\u7ec6\u4ecb\u7ecd\u5982\u4f55\u4f7f\u7528Turtle\u5e93\u6765\u7ed8\u5236\u4e00\u68f5\u6811\u3002<\/p>\n<\/p>\n<hr>\n<p><h2>\u4e00\u3001\u9012\u5f52\u7b97\u6cd5\u751f\u6210\u6811\u7ed3\u6784<\/h2>\n<\/p>\n<p><p>\u9012\u5f52\u662f\u4e00\u79cd\u975e\u5e38\u5f3a\u5927\u7684\u7f16\u7a0b\u6280\u5de7\uff0c\u7279\u522b\u9002\u7528\u4e8e\u6811\u5f62\u7ed3\u6784\u7684\u751f\u6210\u3002\u5229\u7528\u9012\u5f52\u7b97\u6cd5\uff0c\u6211\u4eec\u53ef\u4ee5\u8f7b\u677e\u5730\u751f\u6210\u4e00\u68f5\u5177\u6709\u591a\u4e2a\u5206\u652f\u548c\u5c42\u6b21\u7684\u6811\u3002<\/p>\n<\/p>\n<p><h3>1.1 \u9012\u5f52\u7b97\u6cd5\u7684\u57fa\u672c\u6982\u5ff5<\/h3>\n<\/p>\n<p><p>\u9012\u5f52\u662f\u51fd\u6570\u8c03\u7528\u81ea\u8eab\u7684\u4e00\u79cd\u7f16\u7a0b\u65b9\u6cd5\u3002\u901a\u8fc7\u9012\u5f52\uff0c\u6211\u4eec\u53ef\u4ee5\u5206\u89e3\u590d\u6742\u7684\u95ee\u9898\uff0c\u9010\u6b65\u6c42\u89e3\u6bcf\u4e2a\u5b50\u95ee\u9898\u3002\u9012\u5f52\u7b97\u6cd5\u901a\u5e38\u5305\u62ec\u4e24\u4e2a\u90e8\u5206\uff1a\u57fa\u51c6\u60c5\u51b5\uff08base case\uff09\u548c\u9012\u5f52\u60c5\u51b5\uff08recursive case\uff09\u3002<\/p>\n<\/p>\n<p><h3>1.2 \u9012\u5f52\u7b97\u6cd5\u7ed8\u5236\u6811\u7684\u601d\u60f3<\/h3>\n<\/p>\n<p><p>\u6811\u5f62\u7ed3\u6784\u7684\u7ed8\u5236\u53ef\u4ee5\u770b\u4f5c\u662f\u4e00\u4e2a\u4e0d\u65ad\u5206\u53c9\u7684\u8fc7\u7a0b\uff0c\u6bcf\u4e2a\u5206\u53c9\u70b9\u90fd\u53ef\u4ee5\u770b\u4f5c\u662f\u4e00\u4e2a\u65b0\u7684\u5b50\u6811\u3002\u901a\u8fc7\u9012\u5f52\u5730\u7ed8\u5236\u6bcf\u4e2a\u5b50\u6811\uff0c\u6211\u4eec\u53ef\u4ee5\u751f\u6210\u6574\u4e2a\u6811\u5f62\u7ed3\u6784\u3002\u7ed8\u5236\u6811\u7684\u9012\u5f52\u7b97\u6cd5\u53ef\u4ee5\u6982\u62ec\u4e3a\u4ee5\u4e0b\u51e0\u4e2a\u6b65\u9aa4\uff1a<\/p>\n<\/p>\n<ol>\n<li>\u7ed8\u5236\u6811\u5e72\u3002<\/li>\n<li>\u9012\u5f52\u5730\u7ed8\u5236\u5de6\u5b50\u6811\u3002<\/li>\n<li>\u9012\u5f52\u5730\u7ed8\u5236\u53f3\u5b50\u6811\u3002<\/li>\n<\/ol>\n<p><h3>1.3 \u4ee3\u7801\u5b9e\u73b0<\/h3>\n<\/p>\n<p><pre><code class=\"language-python\">import turtle<\/p>\n<p>def draw_tree(branch_length, t):<\/p>\n<p>    if branch_length &gt; 5:<\/p>\n<p>        t.forward(branch_length)<\/p>\n<p>        t.right(20)<\/p>\n<p>        draw_tree(branch_length - 15, t)<\/p>\n<p>        t.left(40)<\/p>\n<p>        draw_tree(branch_length - 15, t)<\/p>\n<p>        t.right(20)<\/p>\n<p>        t.backward(branch_length)<\/p>\n<p>def m<a href=\"https:\/\/docs.pingcode.com\/blog\/59162.html\" target=\"_blank\">AI<\/a>n():<\/p>\n<p>    t = turtle.Turtle()<\/p>\n<p>    my_win = turtle.Screen()<\/p>\n<p>    t.left(90)<\/p>\n<p>    t.up()<\/p>\n<p>    t.backward(100)<\/p>\n<p>    t.down()<\/p>\n<p>    t.color(&quot;green&quot;)<\/p>\n<p>    draw_tree(75, t)<\/p>\n<p>    my_win.exitonclick()<\/p>\n<p>if __name__ == &quot;__main__&quot;:<\/p>\n<p>    main()<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u4ee5\u4e0a\u4ee3\u7801\u5c55\u793a\u4e86\u5982\u4f55\u4f7f\u7528\u9012\u5f52\u7b97\u6cd5\u548cTurtle\u5e93\u7ed8\u5236\u4e00\u68f5\u7b80\u5355\u7684\u6811\u3002\u9996\u5148\u5b9a\u4e49\u4e86\u4e00\u4e2a\u9012\u5f52\u51fd\u6570<code>draw_tree<\/code>\uff0c\u7136\u540e\u5728<code>main<\/code>\u51fd\u6570\u4e2d\u8bbe\u7f6eTurtle\u753b\u7b14\u7684\u521d\u59cb\u4f4d\u7f6e\u548c\u65b9\u5411\uff0c\u6700\u540e\u8c03\u7528<code>draw_tree<\/code>\u51fd\u6570\u5f00\u59cb\u7ed8\u56fe\u3002<\/p>\n<\/p>\n<hr>\n<p><h2>\u4e8c\u3001\u4f7f\u7528Turtle\u5e93\u7ed8\u56fe<\/h2>\n<\/p>\n<p><p>Turtle\u5e93\u662fPython\u4e2d\u4e00\u4e2a\u975e\u5e38\u76f4\u89c2\u548c\u6613\u7528\u7684\u56fe\u5f62\u7ed8\u5236\u5e93\uff0c\u7279\u522b\u9002\u5408\u7528\u4e8e\u6559\u5b66\u548c\u521d\u5b66\u8005\u5b66\u4e60\u3002\u5b83\u63d0\u4f9b\u4e86\u4e00\u4e2a\u57fa\u4e8e\u4e4c\u9f9f\u7ed8\u56fe\u7684\u754c\u9762\uff0c\u4f7f\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u63a7\u5236\u4e4c\u9f9f\u7684\u79fb\u52a8\u6765\u7ed8\u5236\u5404\u79cd\u56fe\u5f62\u3002<\/p>\n<\/p>\n<p><h3>2.1 Turtle\u5e93\u7684\u57fa\u672c\u4f7f\u7528<\/h3>\n<\/p>\n<p><p>Turtle\u5e93\u7684\u57fa\u672c\u4f7f\u7528\u65b9\u6cd5\u5305\u62ec\u4ee5\u4e0b\u51e0\u4e2a\u6b65\u9aa4\uff1a<\/p>\n<\/p>\n<ol>\n<li>\u5bfc\u5165Turtle\u5e93\u3002<\/li>\n<li>\u521b\u5efa\u4e00\u4e2aTurtle\u5bf9\u8c61\u3002<\/li>\n<li>\u8bbe\u7f6e\u753b\u7b14\u7684\u521d\u59cb\u4f4d\u7f6e\u548c\u65b9\u5411\u3002<\/li>\n<li>\u4f7f\u7528\u5404\u79cd\u7ed8\u56fe\u547d\u4ee4\u63a7\u5236\u4e4c\u9f9f\u7684\u79fb\u52a8\u3002<\/li>\n<\/ol>\n<p><h3>2.2 \u7ed8\u5236\u6811\u5f62\u7ed3\u6784<\/h3>\n<\/p>\n<p><p>\u5229\u7528Turtle\u5e93\u7ed8\u5236\u6811\u5f62\u7ed3\u6784\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u9012\u5f52\u7b97\u6cd5\u63a7\u5236\u4e4c\u9f9f\u7684\u79fb\u52a8\uff0c\u4ece\u800c\u751f\u6210\u6811\u7684\u6bcf\u4e2a\u5206\u652f\u3002\u4ee5\u4e0b\u662f\u4e00\u4e2a\u7b80\u5355\u7684\u5b9e\u73b0\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import turtle<\/p>\n<p>def draw_tree(branch_length, t):<\/p>\n<p>    if branch_length &gt; 5:<\/p>\n<p>        t.forward(branch_length)<\/p>\n<p>        t.right(20)<\/p>\n<p>        draw_tree(branch_length - 15, t)<\/p>\n<p>        t.left(40)<\/p>\n<p>        draw_tree(branch_length - 15, t)<\/p>\n<p>        t.right(20)<\/p>\n<p>        t.backward(branch_length)<\/p>\n<p>def main():<\/p>\n<p>    t = turtle.Turtle()<\/p>\n<p>    my_win = turtle.Screen()<\/p>\n<p>    t.left(90)<\/p>\n<p>    t.up()<\/p>\n<p>    t.backward(100)<\/p>\n<p>    t.down()<\/p>\n<p>    t.color(&quot;green&quot;)<\/p>\n<p>    draw_tree(75, t)<\/p>\n<p>    my_win.exitonclick()<\/p>\n<p>if __name__ == &quot;__main__&quot;:<\/p>\n<p>    main()<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u4e2a\u5b9e\u73b0\u4e2d\uff0c\u6211\u4eec\u9996\u5148\u5bfc\u5165\u4e86Turtle\u5e93\uff0c\u7136\u540e\u5b9a\u4e49\u4e86\u4e00\u4e2a\u9012\u5f52\u51fd\u6570<code>draw_tree<\/code>\u6765\u7ed8\u5236\u6811\u5f62\u7ed3\u6784\u3002<code>draw_tree<\/code>\u51fd\u6570\u63a5\u53d7\u4e24\u4e2a\u53c2\u6570\uff1a\u5206\u652f\u7684\u957f\u5ea6\u548cTurtle\u5bf9\u8c61\u3002\u5982\u679c\u5206\u652f\u7684\u957f\u5ea6\u5927\u4e8e5\uff0c\u6211\u4eec\u9996\u5148\u5411\u524d\u79fb\u52a8\u4e4c\u9f9f\uff0c\u7136\u540e\u9012\u5f52\u5730\u7ed8\u5236\u5de6\u5b50\u6811\u548c\u53f3\u5b50\u6811\u3002\u6700\u540e\uff0c\u5c06\u4e4c\u9f9f\u79fb\u52a8\u56de\u539f\u6765\u7684\u4f4d\u7f6e\u3002<\/p>\n<\/p>\n<p><h3>2.3 \u8c03\u6574\u6811\u7684\u53c2\u6570<\/h3>\n<\/p>\n<p><p>\u901a\u8fc7\u8c03\u6574\u9012\u5f52\u51fd\u6570\u4e2d\u7684\u53c2\u6570\uff0c\u6211\u4eec\u53ef\u4ee5\u6539\u53d8\u6811\u7684\u5f62\u72b6\u548c\u5927\u5c0f\u3002\u4f8b\u5982\uff0c\u6539\u53d8\u5206\u652f\u957f\u5ea6\u7684\u51cf\u5c11\u91cf\u53ef\u4ee5\u751f\u6210\u4e0d\u540c\u5f62\u72b6\u7684\u6811\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import turtle<\/p>\n<p>def draw_tree(branch_length, t):<\/p>\n<p>    if branch_length &gt; 5:<\/p>\n<p>        t.forward(branch_length)<\/p>\n<p>        t.right(20)<\/p>\n<p>        draw_tree(branch_length - 10, t)<\/p>\n<p>        t.left(40)<\/p>\n<p>        draw_tree(branch_length - 10, t)<\/p>\n<p>        t.right(20)<\/p>\n<p>        t.backward(branch_length)<\/p>\n<p>def main():<\/p>\n<p>    t = turtle.Turtle()<\/p>\n<p>    my_win = turtle.Screen()<\/p>\n<p>    t.left(90)<\/p>\n<p>    t.up()<\/p>\n<p>    t.backward(100)<\/p>\n<p>    t.down()<\/p>\n<p>    t.color(&quot;green&quot;)<\/p>\n<p>    draw_tree(75, t)<\/p>\n<p>    my_win.exitonclick()<\/p>\n<p>if __name__ == &quot;__main__&quot;:<\/p>\n<p>    main()<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u6211\u4eec\u5c06\u5206\u652f\u957f\u5ea6\u7684\u51cf\u5c11\u91cf\u4ece15\u6539\u4e3a\u4e8610\uff0c\u4ece\u800c\u751f\u6210\u4e86\u4e00\u68f5\u66f4\u52a0\u5bc6\u96c6\u7684\u6811\u3002<\/p>\n<\/p>\n<hr>\n<p><h2>\u4e09\u3001\u4f7f\u7528Matplotlib\u5e93\u7ed8\u56fe<\/h2>\n<\/p>\n<p><p>Matplotlib\u662fPython\u4e2d\u4e00\u4e2a\u975e\u5e38\u5f3a\u5927\u76842D\u7ed8\u56fe\u5e93\uff0c\u9002\u7528\u4e8e\u751f\u6210\u5404\u79cd\u56fe\u5f62\u548c\u6570\u636e\u53ef\u89c6\u5316\u3002\u867d\u7136Matplotlib\u4e3b\u8981\u7528\u4e8e\u6570\u636e\u53ef\u89c6\u5316\uff0c\u4f46\u6211\u4eec\u4e5f\u53ef\u4ee5\u5229\u7528\u5b83\u6765\u7ed8\u5236\u6811\u5f62\u7ed3\u6784\u3002<\/p>\n<\/p>\n<p><h3>3.1 Matplotlib\u5e93\u7684\u57fa\u672c\u4f7f\u7528<\/h3>\n<\/p>\n<p><p>Matplotlib\u5e93\u7684\u57fa\u672c\u4f7f\u7528\u65b9\u6cd5\u5305\u62ec\u4ee5\u4e0b\u51e0\u4e2a\u6b65\u9aa4\uff1a<\/p>\n<\/p>\n<ol>\n<li>\u5bfc\u5165Matplotlib\u5e93\u3002<\/li>\n<li>\u521b\u5efa\u4e00\u4e2a\u7ed8\u56fe\u5bf9\u8c61\u3002<\/li>\n<li>\u4f7f\u7528\u5404\u79cd\u7ed8\u56fe\u547d\u4ee4\u751f\u6210\u56fe\u5f62\u3002<\/li>\n<\/ol>\n<p><h3>3.2 \u7ed8\u5236\u6811\u5f62\u7ed3\u6784<\/h3>\n<\/p>\n<p><p>\u5229\u7528Matplotlib\u5e93\u7ed8\u5236\u6811\u5f62\u7ed3\u6784\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u9012\u5f52\u7b97\u6cd5\u751f\u6210\u6811\u7684\u6bcf\u4e2a\u5206\u652f\uff0c\u7136\u540e\u5229\u7528Matplotlib\u7684\u7ed8\u56fe\u547d\u4ee4\u5c06\u8fd9\u4e9b\u5206\u652f\u7ed8\u5236\u51fa\u6765\u3002\u4ee5\u4e0b\u662f\u4e00\u4e2a\u7b80\u5355\u7684\u5b9e\u73b0\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import matplotlib.pyplot as plt<\/p>\n<p>def draw_tree(x, y, angle, length):<\/p>\n<p>    if length &gt; 5:<\/p>\n<p>        x_end = x + length * cos(angle)<\/p>\n<p>        y_end = y + length * sin(angle)<\/p>\n<p>        plt.plot([x, x_end], [y, y_end], color=&#39;green&#39;)<\/p>\n<p>        draw_tree(x_end, y_end, angle - pi\/6, length * 0.7)<\/p>\n<p>        draw_tree(x_end, y_end, angle + pi\/6, length * 0.7)<\/p>\n<p>def main():<\/p>\n<p>    plt.figure()<\/p>\n<p>    draw_tree(0, 0, pi\/2, 100)<\/p>\n<p>    plt.show()<\/p>\n<p>if __name__ == &quot;__main__&quot;:<\/p>\n<p>    main()<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u4e2a\u5b9e\u73b0\u4e2d\uff0c\u6211\u4eec\u9996\u5148\u5bfc\u5165\u4e86Matplotlib\u5e93\uff0c\u7136\u540e\u5b9a\u4e49\u4e86\u4e00\u4e2a\u9012\u5f52\u51fd\u6570<code>draw_tree<\/code>\u6765\u7ed8\u5236\u6811\u5f62\u7ed3\u6784\u3002<code>draw_tree<\/code>\u51fd\u6570\u63a5\u53d7\u56db\u4e2a\u53c2\u6570\uff1a\u8d77\u70b9\u7684x\u548cy\u5750\u6807\u3001\u5206\u652f\u7684\u89d2\u5ea6\u548c\u957f\u5ea6\u3002\u5982\u679c\u5206\u652f\u7684\u957f\u5ea6\u5927\u4e8e5\uff0c\u6211\u4eec\u9996\u5148\u8ba1\u7b97\u7ec8\u70b9\u7684\u5750\u6807\uff0c\u7136\u540e\u7ed8\u5236\u5206\u652f\u3002\u6700\u540e\uff0c\u9012\u5f52\u5730\u7ed8\u5236\u5de6\u5b50\u6811\u548c\u53f3\u5b50\u6811\u3002<\/p>\n<\/p>\n<p><h3>3.3 \u8c03\u6574\u6811\u7684\u53c2\u6570<\/h3>\n<\/p>\n<p><p>\u901a\u8fc7\u8c03\u6574\u9012\u5f52\u51fd\u6570\u4e2d\u7684\u53c2\u6570\uff0c\u6211\u4eec\u53ef\u4ee5\u6539\u53d8\u6811\u7684\u5f62\u72b6\u548c\u5927\u5c0f\u3002\u4f8b\u5982\uff0c\u6539\u53d8\u5206\u652f\u957f\u5ea6\u7684\u7f29\u653e\u6bd4\u4f8b\u53ef\u4ee5\u751f\u6210\u4e0d\u540c\u5f62\u72b6\u7684\u6811\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import matplotlib.pyplot as plt<\/p>\n<p>def draw_tree(x, y, angle, length):<\/p>\n<p>    if length &gt; 5:<\/p>\n<p>        x_end = x + length * cos(angle)<\/p>\n<p>        y_end = y + length * sin(angle)<\/p>\n<p>        plt.plot([x, x_end], [y, y_end], color=&#39;green&#39;)<\/p>\n<p>        draw_tree(x_end, y_end, angle - pi\/6, length * 0.8)<\/p>\n<p>        draw_tree(x_end, y_end, angle + pi\/6, length * 0.8)<\/p>\n<p>def main():<\/p>\n<p>    plt.figure()<\/p>\n<p>    draw_tree(0, 0, pi\/2, 100)<\/p>\n<p>    plt.show()<\/p>\n<p>if __name__ == &quot;__main__&quot;:<\/p>\n<p>    main()<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u6211\u4eec\u5c06\u5206\u652f\u957f\u5ea6\u7684\u7f29\u653e\u6bd4\u4f8b\u4ece0.7\u6539\u4e3a\u4e860.8\uff0c\u4ece\u800c\u751f\u6210\u4e86\u4e00\u68f5\u66f4\u52a0\u7a00\u758f\u7684\u6811\u3002<\/p>\n<\/p>\n<hr>\n<p><h2>\u56db\u3001\u7ed3\u5408\u6811\u6570\u636e\u7ed3\u6784\u8fdb\u884c\u52a8\u6001\u751f\u6210<\/h2>\n<\/p>\n<p><p>\u901a\u8fc7\u7ed3\u5408\u6811\u6570\u636e\u7ed3\u6784\uff0c\u6211\u4eec\u53ef\u4ee5\u52a8\u6001\u5730\u751f\u6210\u548c\u7ed8\u5236\u6811\u5f62\u7ed3\u6784\u3002\u8fd9\u79cd\u65b9\u6cd5\u66f4\u52a0\u7075\u6d3b\u548c\u53ef\u6269\u5c55\uff0c\u9002\u7528\u4e8e\u751f\u6210\u590d\u6742\u7684\u6811\u5f62\u7ed3\u6784\u3002<\/p>\n<\/p>\n<p><h3>4.1 \u6811\u6570\u636e\u7ed3\u6784\u7684\u57fa\u672c\u6982\u5ff5<\/h3>\n<\/p>\n<p><p>\u6811\u662f\u4e00\u79cd\u975e\u5e38\u91cd\u8981\u7684\u6570\u636e\u7ed3\u6784\uff0c\u5e7f\u6cdb\u5e94\u7528\u4e8e\u5404\u79cd\u8ba1\u7b97\u673a\u79d1\u5b66\u9886\u57df\u3002\u6811\u7531\u8282\u70b9\u548c\u8fb9\u7ec4\u6210\uff0c\u5176\u4e2d\u6bcf\u4e2a\u8282\u70b9\u53ef\u4ee5\u6709\u591a\u4e2a\u5b50\u8282\u70b9\u3002\u6811\u7684\u6839\u8282\u70b9\u662f\u6811\u7684\u8d77\u70b9\uff0c\u5176\u4ed6\u8282\u70b9\u901a\u8fc7\u8fb9\u4e0e\u6839\u8282\u70b9\u8fde\u63a5\u3002<\/p>\n<\/p>\n<p><h3>4.2 \u52a8\u6001\u751f\u6210\u6811\u5f62\u7ed3\u6784<\/h3>\n<\/p>\n<p><p>\u6211\u4eec\u53ef\u4ee5\u5229\u7528\u6811\u6570\u636e\u7ed3\u6784\u52a8\u6001\u5730\u751f\u6210\u548c\u7ed8\u5236\u6811\u5f62\u7ed3\u6784\u3002\u4ee5\u4e0b\u662f\u4e00\u4e2a\u7b80\u5355\u7684\u5b9e\u73b0\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import turtle<\/p>\n<p>class TreeNode:<\/p>\n<p>    def __init__(self, value):<\/p>\n<p>        self.value = value<\/p>\n<p>        self.left = None<\/p>\n<p>        self.right = None<\/p>\n<p>def draw_tree(node, t, branch_length):<\/p>\n<p>    if node:<\/p>\n<p>        t.forward(branch_length)<\/p>\n<p>        t.right(20)<\/p>\n<p>        draw_tree(node.left, t, branch_length - 15)<\/p>\n<p>        t.left(40)<\/p>\n<p>        draw_tree(node.right, t, branch_length - 15)<\/p>\n<p>        t.right(20)<\/p>\n<p>        t.backward(branch_length)<\/p>\n<p>def main():<\/p>\n<p>    root = TreeNode(1)<\/p>\n<p>    root.left = TreeNode(2)<\/p>\n<p>    root.right = TreeNode(3)<\/p>\n<p>    root.left.left = TreeNode(4)<\/p>\n<p>    root.left.right = TreeNode(5)<\/p>\n<p>    t = turtle.Turtle()<\/p>\n<p>    my_win = turtle.Screen()<\/p>\n<p>    t.left(90)<\/p>\n<p>    t.up()<\/p>\n<p>    t.backward(100)<\/p>\n<p>    t.down()<\/p>\n<p>    t.color(&quot;green&quot;)<\/p>\n<p>    draw_tree(root, t, 75)<\/p>\n<p>    my_win.exitonclick()<\/p>\n<p>if __name__ == &quot;__main__&quot;:<\/p>\n<p>    main()<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u4e2a\u5b9e\u73b0\u4e2d\uff0c\u6211\u4eec\u9996\u5148\u5b9a\u4e49\u4e86\u4e00\u4e2a\u6811\u8282\u70b9\u7c7b<code>TreeNode<\/code>\uff0c\u7136\u540e\u521b\u5efa\u4e86\u4e00\u68f5\u7b80\u5355\u7684\u6811\u3002\u63a5\u7740\u5b9a\u4e49\u4e86\u4e00\u4e2a\u9012\u5f52\u51fd\u6570<code>draw_tree<\/code>\u6765\u7ed8\u5236\u6811\u5f62\u7ed3\u6784\u3002<code>draw_tree<\/code>\u51fd\u6570\u63a5\u53d7\u4e09\u4e2a\u53c2\u6570\uff1a\u6811\u8282\u70b9\u3001Turtle\u5bf9\u8c61\u548c\u5206\u652f\u7684\u957f\u5ea6\u3002\u5982\u679c\u8282\u70b9\u5b58\u5728\uff0c\u6211\u4eec\u9996\u5148\u5411\u524d\u79fb\u52a8\u4e4c\u9f9f\uff0c\u7136\u540e\u9012\u5f52\u5730\u7ed8\u5236\u5de6\u5b50\u6811\u548c\u53f3\u5b50\u6811\u3002\u6700\u540e\uff0c\u5c06\u4e4c\u9f9f\u79fb\u52a8\u56de\u539f\u6765\u7684\u4f4d\u7f6e\u3002<\/p>\n<\/p>\n<p><h3>4.3 \u52a8\u6001\u8c03\u6574\u6811\u7684\u5f62\u72b6<\/h3>\n<\/p>\n<p><p>\u901a\u8fc7\u52a8\u6001\u8c03\u6574\u6811\u7684\u5f62\u72b6\u548c\u7ed3\u6784\uff0c\u6211\u4eec\u53ef\u4ee5\u751f\u6210\u5404\u79cd\u4e0d\u540c\u5f62\u72b6\u7684\u6811\u3002\u4f8b\u5982\uff0c\u4ee5\u4e0b\u4ee3\u7801\u5c55\u793a\u4e86\u5982\u4f55\u751f\u6210\u4e00\u68f5\u66f4\u52a0\u590d\u6742\u7684\u6811\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import turtle<\/p>\n<p>class TreeNode:<\/p>\n<p>    def __init__(self, value):<\/p>\n<p>        self.value = value<\/p>\n<p>        self.left = None<\/p>\n<p>        self.right = None<\/p>\n<p>def draw_tree(node, t, branch_length):<\/p>\n<p>    if node:<\/p>\n<p>        t.forward(branch_length)<\/p>\n<p>        t.right(20)<\/p>\n<p>        draw_tree(node.left, t, branch_length - 10)<\/p>\n<p>        t.left(40)<\/p>\n<p>        draw_tree(node.right, t, branch_length - 10)<\/p>\n<p>        t.right(20)<\/p>\n<p>        t.backward(branch_length)<\/p>\n<p>def main():<\/p>\n<p>    root = TreeNode(1)<\/p>\n<p>    root.left = TreeNode(2)<\/p>\n<p>    root.right = TreeNode(3)<\/p>\n<p>    root.left.left = TreeNode(4)<\/p>\n<p>    root.left.right = TreeNode(5)<\/p>\n<p>    root.right.left = TreeNode(6)<\/p>\n<p>    root.right.right = TreeNode(7)<\/p>\n<p>    t = turtle.Turtle()<\/p>\n<p>    my_win = turtle.Screen()<\/p>\n<p>    t.left(90)<\/p>\n<p>    t.up()<\/p>\n<p>    t.backward(100)<\/p>\n<p>    t.down()<\/p>\n<p>    t.color(&quot;green&quot;)<\/p>\n<p>    draw_tree(root, t, 75)<\/p>\n<p>    my_win.exitonclick()<\/p>\n<p>if __name__ == &quot;__main__&quot;:<\/p>\n<p>    main()<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u6211\u4eec\u521b\u5efa\u4e86\u4e00\u68f5\u66f4\u52a0\u590d\u6742\u7684\u6811\uff0c\u5e76\u4f7f\u7528\u9012\u5f52\u7b97\u6cd5\u7ed8\u5236\u4e86\u6574\u68f5\u6811\u3002\u901a\u8fc7\u8c03\u6574\u6811\u8282\u70b9\u7684\u7ed3\u6784\u548c\u5206\u652f\u7684\u957f\u5ea6\uff0c\u6211\u4eec\u53ef\u4ee5\u751f\u6210\u5404\u79cd\u4e0d\u540c\u5f62\u72b6\u7684\u6811\u3002<\/p>\n<\/p>\n<hr>\n<p><p>\u4ee5\u4e0a\u5185\u5bb9\u8be6\u7ec6\u4ecb\u7ecd\u4e86\u5982\u4f55\u4f7f\u7528Python\u7ed8\u5236\u4e00\u68f5\u6811\uff0c\u5305\u62ec\u5229\u7528\u9012\u5f52\u7b97\u6cd5\u751f\u6210\u6811\u7ed3\u6784\u3001\u4f7f\u7528Turtle\u548cMatplotlib\u5e93\u8fdb\u884c\u7ed8\u56fe\u4ee5\u53ca\u7ed3\u5408\u6811\u6570\u636e\u7ed3\u6784\u8fdb\u884c\u52a8\u6001\u751f\u6210\u3002\u6bcf\u79cd\u65b9\u6cd5\u90fd\u6709\u5176\u72ec\u7279\u7684\u4f18\u70b9\u548c\u9002\u7528\u573a\u666f\uff0c\u8bfb\u8005\u53ef\u4ee5\u6839\u636e\u81ea\u5df1\u7684\u9700\u8981\u9009\u62e9\u5408\u9002\u7684\u65b9\u6cd5\u8fdb\u884c\u7ed8\u56fe\u3002<\/p>\n<\/p>\n<h2><strong>\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n<p> <strong>\u5982\u4f55\u5728Python\u4e2d\u9009\u62e9\u5408\u9002\u7684\u5e93\u6765\u7ed8\u5236\u6811\u5f62\u56fe\uff1f<\/strong><br \/>\u5728Python\u4e2d\uff0c\u6709\u591a\u4e2a\u5e93\u53ef\u4ee5\u7528\u4e8e\u7ed8\u5236\u6811\u5f62\u56fe\uff0c\u5982Matplotlib\u3001Graphviz\u548cNetworkX\u7b49\u3002\u9009\u62e9\u5408\u9002\u7684\u5e93\u4e3b\u8981\u53d6\u51b3\u4e8e\u60a8\u7684\u5177\u4f53\u9700\u6c42\u3002Matplotlib\u9002\u5408\u7b80\u5355\u7684\u56fe\u5f62\u7ed8\u5236\uff0c\u800cGraphviz\u5219\u66f4\u9002\u5408\u590d\u6742\u7684\u6811\u5f62\u7ed3\u6784\uff0c\u80fd\u591f\u751f\u6210\u9ad8\u8d28\u91cf\u7684\u56fe\u5f62\u3002\u5982\u679c\u9700\u8981\u5904\u7406\u6570\u636e\u7ed3\u6784\u5e76\u8fdb\u884c\u53ef\u89c6\u5316\uff0cNetworkX\u662f\u4e00\u4e2a\u975e\u5e38\u597d\u7684\u9009\u62e9\u3002<\/p>\n<p><strong>\u7ed8\u5236\u6811\u5f62\u56fe\u65f6\u6709\u54ea\u4e9b\u5e38\u89c1\u7684\u9519\u8bef\u548c\u89e3\u51b3\u65b9\u6cd5\uff1f<\/strong><br \/>\u5728\u7ed8\u5236\u6811\u5f62\u56fe\u65f6\uff0c\u5e38\u89c1\u7684\u9519\u8bef\u5305\u62ec\u8282\u70b9\u91cd\u53e0\u3001\u6bd4\u4f8b\u5931\u8861\u4ee5\u53ca\u672a\u6b63\u786e\u663e\u793a\u6811\u7684\u5c42\u7ea7\u7ed3\u6784\u3002\u4e3a\u907f\u514d\u8fd9\u4e9b\u95ee\u9898\uff0c\u53ef\u4ee5\u8c03\u6574\u8282\u70b9\u95f4\u7684\u95f4\u8ddd\uff0c\u4f7f\u7528\u9002\u5f53\u7684\u5e03\u5c40\u7b97\u6cd5\uff0c\u5e76\u786e\u4fdd\u5728\u7ed8\u5236\u4e4b\u524d\u6b63\u786e\u8bbe\u7f6e\u6811\u7684\u6df1\u5ea6\u548c\u5bbd\u5ea6\u53c2\u6570\u3002\u6b64\u5916\uff0c\u9002\u5f53\u7684\u6807\u7b7e\u548c\u8282\u70b9\u989c\u8272\u4e5f\u6709\u52a9\u4e8e\u63d0\u9ad8\u53ef\u8bfb\u6027\u3002<\/p>\n<p><strong>\u5982\u4f55\u4e3a\u7ed8\u5236\u7684\u6811\u5f62\u56fe\u6dfb\u52a0\u4ea4\u4e92\u529f\u80fd\uff1f<\/strong><br \/>\u4e3a\u4e86\u8ba9\u6811\u5f62\u56fe\u5177\u5907\u4ea4\u4e92\u529f\u80fd\uff0c\u53ef\u4ee5\u4f7f\u7528Plotly\u6216Bokeh\u7b49\u5e93\u3002\u8fd9\u4e9b\u5e93\u652f\u6301\u521b\u5efa\u52a8\u6001\u56fe\u5f62\uff0c\u7528\u6237\u53ef\u4ee5\u901a\u8fc7\u7f29\u653e\u3001\u62d6\u52a8\u548c\u60ac\u505c\u7b49\u65b9\u5f0f\u4e0e\u56fe\u5f62\u4e92\u52a8\u3002\u901a\u8fc7\u6dfb\u52a0\u56de\u8c03\u51fd\u6570\uff0c\u60a8\u53ef\u4ee5\u8ba9\u7528\u6237\u5728\u70b9\u51fb\u8282\u70b9\u65f6\u663e\u793a\u8be6\u7ec6\u4fe1\u606f\u6216\u6267\u884c\u7279\u5b9a\u64cd\u4f5c\uff0c\u4ece\u800c\u63d0\u5347\u7528\u6237\u4f53\u9a8c\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u4f7f\u7528\u7b80\u5355\u7684Python\u7ed8\u5236\u4e00\u68f5\u6811\u7684\u65b9\u6cd5\u5305\u62ec\uff1a\u5229\u7528\u9012\u5f52\u7b97\u6cd5\u751f\u6210\u6811\u7ed3\u6784\u3001\u4f7f\u7528\u56fe\u5f62\u5e93\u5982Turtle\u6216Matplotl [&hellip;]","protected":false},"author":3,"featured_media":1141232,"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\/1141220"}],"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=1141220"}],"version-history":[{"count":"1","href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1141220\/revisions"}],"predecessor-version":[{"id":1141234,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1141220\/revisions\/1141234"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media\/1141232"}],"wp:attachment":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media?parent=1141220"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/categories?post=1141220"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/tags?post=1141220"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}