{"id":975064,"date":"2024-12-27T06:10:16","date_gmt":"2024-12-26T22:10:16","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/975064.html"},"modified":"2024-12-27T06:10:18","modified_gmt":"2024-12-26T22:10:18","slug":"python%e5%a6%82%e4%bd%95%e7%bb%99%e5%a4%8d%e6%95%b0%e8%b5%8b%e5%80%bc","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/975064.html","title":{"rendered":"python\u5982\u4f55\u7ed9\u590d\u6570\u8d4b\u503c"},"content":{"rendered":"<p style=\"text-align:center;\" ><img decoding=\"async\" src=\"https:\/\/cdn-kb.worktile.com\/kb\/wp-content\/uploads\/2024\/04\/24200445\/4a04766c-aa30-4c92-9f47-6a769fb7f684.webp\" alt=\"python\u5982\u4f55\u7ed9\u590d\u6570\u8d4b\u503c\" \/><\/p>\n<p><p> <strong>\u5728Python\u4e2d\u7ed9\u590d\u6570\u8d4b\u503c\u7684\u65b9\u6cd5\u6709\u591a\u79cd\uff0c\u4e3b\u8981\u5305\u62ec\uff1a\u76f4\u63a5\u4f7f\u7528<code>complex()<\/code>\u51fd\u6570\u3001\u4f7f\u7528<code>j<\/code>\u6216<code>J<\/code>\u8868\u793a\u865a\u90e8\u3001\u901a\u8fc7\u6570\u5b66\u8fd0\u7b97\u521b\u5efa\u590d\u6570\u3002<\/strong>\u5728\u8fd9\u4e9b\u65b9\u6cd5\u4e2d\uff0c\u76f4\u63a5\u4f7f\u7528<code>complex()<\/code>\u51fd\u6570\u662f\u6700\u5e38\u7528\u4e14\u6613\u4e8e\u7406\u89e3\u7684\u65b9\u6cd5\u3002\u901a\u8fc7<code>complex()<\/code>\u51fd\u6570\uff0c\u4f60\u53ef\u4ee5\u76f4\u63a5\u521b\u5efa\u4e00\u4e2a\u590d\u6570\u5bf9\u8c61\uff0c\u5176\u8bed\u6cd5\u4e3a<code>complex(real, imag)<\/code>\uff0c\u5176\u4e2d<code>real<\/code>\u662f\u5b9e\u90e8\uff0c<code>imag<\/code>\u662f\u865a\u90e8\u3002\u6b64\u5916\uff0c\u4f7f\u7528<code>j<\/code>\u6216<code>J<\/code>\u540e\u7f00\u53ef\u4ee5\u76f4\u63a5\u5728\u6570\u503c\u540e\u9762\u521b\u5efa\u865a\u90e8\uff0c\u4f8b\u5982<code>3 + 4j<\/code>\u3002\u6700\u540e\uff0c\u901a\u8fc7\u6570\u5b66\u8fd0\u7b97\uff0c\u6bd4\u5982\u5c06\u4e24\u4e2a\u6570\u76f8\u52a0\uff0c\u5176\u4e2d\u4e00\u4e2a\u6570\u5177\u6709\u865a\u90e8\uff0c\u4e5f\u80fd\u521b\u5efa\u590d\u6570\u3002<\/p>\n<\/p>\n<p><h2>\u4e00\u3001\u4f7f\u7528 <code>complex()<\/code> \u51fd\u6570\u8d4b\u503c<\/h2>\n<\/p>\n<p><p>Python\u63d0\u4f9b\u4e86\u4e00\u4e2a\u5185\u7f6e\u7684<code>complex()<\/code>\u51fd\u6570\uff0c\u53ef\u4ee5\u7528\u6765\u521b\u5efa\u590d\u6570\u3002\u8fd9\u4e2a\u51fd\u6570\u63a5\u53d7\u4e24\u4e2a\u53c2\u6570\uff1a\u5b9e\u90e8\u548c\u865a\u90e8\u3002\u4e0b\u9762\u662f\u4f7f\u7528<code>complex()<\/code>\u51fd\u6570\u8d4b\u503c\u590d\u6570\u7684\u793a\u4f8b\u3002<\/p>\n<\/p>\n<p><h3>1. <code>complex()<\/code> \u51fd\u6570\u7684\u57fa\u672c\u7528\u6cd5<\/h3>\n<\/p>\n<p><p><code>complex()<\/code>\u51fd\u6570\u7684\u57fa\u672c\u7528\u6cd5\u662f\u63d0\u4f9b\u4e24\u4e2a\u6570\u503c\u53c2\u6570\uff0c\u7b2c\u4e00\u4e2a\u53c2\u6570\u662f\u5b9e\u90e8\uff0c\u7b2c\u4e8c\u4e2a\u662f\u865a\u90e8\u3002\u865a\u90e8\u7684\u6570\u503c\u53ef\u4ee5\u662f\u6574\u6570\u6216\u6d6e\u70b9\u6570\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">z = complex(3, 4)<\/p>\n<p>print(z)  # \u8f93\u51fa\uff1a (3+4j)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u4e0a\u9762\u7684\u4ee3\u7801\u4e2d\uff0c\u590d\u6570<code>z<\/code>\u7684\u5b9e\u90e8\u662f3\uff0c\u865a\u90e8\u662f4\u3002<code>complex()<\/code>\u51fd\u6570\u8fd4\u56de\u7684\u662f\u4e00\u4e2a\u590d\u6570\u5bf9\u8c61\u3002<\/p>\n<\/p>\n<p><h3>2. \u4f7f\u7528\u53d8\u91cf\u4e0e <code>complex()<\/code> \u51fd\u6570\u7ed3\u5408<\/h3>\n<\/p>\n<p><p><code>complex()<\/code>\u51fd\u6570\u4e0d\u4ec5\u53ef\u4ee5\u76f4\u63a5\u4f7f\u7528\u6570\u503c\uff0c\u4e5f\u53ef\u4ee5\u4f7f\u7528\u53d8\u91cf\u6765\u521b\u5efa\u590d\u6570\u3002\u8fd9\u79cd\u65b9\u5f0f\u975e\u5e38\u9002\u5408\u9700\u8981\u52a8\u6001\u751f\u6210\u590d\u6570\u7684\u573a\u666f\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">real_part = 5<\/p>\n<p>imaginary_part = 9<\/p>\n<p>z = complex(real_part, imaginary_part)<\/p>\n<p>print(z)  # \u8f93\u51fa\uff1a (5+9j)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c<code>complex()<\/code>\u51fd\u6570\u4f7f\u7528\u53d8\u91cf<code>real_part<\/code>\u548c<code>imaginary_part<\/code>\u7684\u503c\u6765\u521b\u5efa\u590d\u6570<code>z<\/code>\u3002<\/p>\n<\/p>\n<p><h2>\u4e8c\u3001\u4f7f\u7528<code>j<\/code>\u6216<code>J<\/code>\u76f4\u63a5\u8d4b\u503c<\/h2>\n<\/p>\n<p><p>Python\u652f\u6301\u901a\u8fc7\u5728\u6570\u503c\u540e\u6dfb\u52a0<code>j<\/code>\u6216<code>J<\/code>\u6765\u8868\u793a\u590d\u6570\u7684\u865a\u90e8\u3002\u8fd9\u79cd\u65b9\u5f0f\u7b80\u5355\u76f4\u89c2\uff0c\u9002\u5408\u5feb\u901f\u521b\u5efa\u590d\u6570\u3002<\/p>\n<\/p>\n<p><h3>1. \u57fa\u672c\u76f4\u63a5\u8d4b\u503c<\/h3>\n<\/p>\n<p><p>\u5728Python\u4e2d\uff0c\u4e00\u4e2a\u590d\u6570\u7684\u865a\u90e8\u53ef\u4ee5\u901a\u8fc7\u5728\u6570\u503c\u540e\u9762\u6dfb\u52a0<code>j<\/code>\u6216<code>J<\/code>\u6765\u8868\u793a\u3002\u5982\u4e0b\u6240\u793a\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">z = 3 + 4j<\/p>\n<p>print(z)  # \u8f93\u51fa\uff1a (3+4j)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u4e0a\u9762\u7684\u4f8b\u5b50\u4e2d\uff0c<code>3<\/code>\u662f\u5b9e\u90e8\uff0c<code>4j<\/code>\u662f\u865a\u90e8\u3002Python\u4f1a\u81ea\u52a8\u8bc6\u522b\u5e76\u5904\u7406\u8fd9\u4e2a\u8868\u8fbe\u5f0f\u3002<\/p>\n<\/p>\n<p><h3>2. \u4f7f\u7528\u53d8\u91cf\u8fdb\u884c\u8d4b\u503c<\/h3>\n<\/p>\n<p><p>\u540c\u6837\u7684\uff0c\u4f7f\u7528\u53d8\u91cf\u53ef\u4ee5\u4f7f\u4ee3\u7801\u66f4\u5177\u7075\u6d3b\u6027\u548c\u53ef\u8bfb\u6027\uff0c\u5c24\u5176\u662f\u5728\u5904\u7406\u590d\u6742\u7684\u8ba1\u7b97\u65f6\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">a = 7<\/p>\n<p>b = 6<\/p>\n<p>z = a + b * 1j<\/p>\n<p>print(z)  # \u8f93\u51fa\uff1a (7+6j)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u901a\u8fc7\u8fd9\u79cd\u65b9\u5f0f\uff0c\u4f60\u53ef\u4ee5\u8f7b\u677e\u5730\u5c06\u53d8\u91cf\u4f5c\u4e3a\u590d\u6570\u7684\u5b9e\u90e8\u548c\u865a\u90e8\u3002<\/p>\n<\/p>\n<p><h2>\u4e09\u3001\u901a\u8fc7\u6570\u5b66\u8fd0\u7b97\u521b\u5efa\u590d\u6570<\/h2>\n<\/p>\n<p><p>\u9664\u4e86\u76f4\u63a5\u8d4b\u503c\u548c\u4f7f\u7528\u51fd\u6570\uff0c\u590d\u6570\u4e5f\u53ef\u4ee5\u901a\u8fc7\u6570\u5b66\u8fd0\u7b97\u52a8\u6001\u521b\u5efa\u3002\u8fd9\u79cd\u65b9\u6cd5\u9002\u7528\u4e8e\u5728\u8ba1\u7b97\u8fc7\u7a0b\u4e2d\u9700\u8981\u751f\u6210\u590d\u6570\u7684\u573a\u666f\u3002<\/p>\n<\/p>\n<p><h3>1. \u901a\u8fc7\u52a0\u6cd5\u8fd0\u7b97\u751f\u6210<\/h3>\n<\/p>\n<p><p>\u53ef\u4ee5\u901a\u8fc7\u5c06\u4e00\u4e2a\u5b9e\u6570\u548c\u4e00\u4e2a\u5177\u6709\u865a\u90e8\u7684\u6570\u76f8\u52a0\u6765\u751f\u6210\u590d\u6570\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">real_number = 10<\/p>\n<p>imaginary_number = 5j<\/p>\n<p>z = real_number + imaginary_number<\/p>\n<p>print(z)  # \u8f93\u51fa\uff1a (10+5j)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u590d\u6570<code>z<\/code>\u662f\u901a\u8fc7\u5c06\u5b9e\u6570<code>real_number<\/code>\u548c\u5177\u6709\u865a\u90e8\u7684<code>imaginary_number<\/code>\u76f8\u52a0\u5f97\u5230\u7684\u3002<\/p>\n<\/p>\n<p><h3>2. \u901a\u8fc7\u590d\u6742\u8fd0\u7b97\u751f\u6210<\/h3>\n<\/p>\n<p><p>\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\uff0c\u590d\u6570\u53ef\u80fd\u662f\u66f4\u590d\u6742\u8fd0\u7b97\u7684\u7ed3\u679c\u3002\u4f8b\u5982\uff0c\u6570\u5b66\u516c\u5f0f\u7684\u8ba1\u7b97\u53ef\u80fd\u6d89\u53ca\u5230\u590d\u6570\u7684\u751f\u6210\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">x = 2<\/p>\n<p>y = 3<\/p>\n<p>z = (x + y) * (1 + 2j)<\/p>\n<p>print(z)  # \u8f93\u51fa\uff1a (-4+10j)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u590d\u6570<code>z<\/code>\u662f\u901a\u8fc7\u5c06\u4e24\u4e2a\u6570\u76f8\u52a0\u5e76\u4e0e\u590d\u6570\u76f8\u4e58\u5f97\u5230\u7684\u3002\u6b64\u7c7b\u8fd0\u7b97\u901a\u5e38\u7528\u4e8e\u79d1\u5b66\u8ba1\u7b97\u548c\u5de5\u7a0b\u5e94\u7528\u4e2d\u3002<\/p>\n<\/p>\n<p><h2>\u56db\u3001\u590d\u6570\u7684\u5c5e\u6027\u4e0e\u65b9\u6cd5<\/h2>\n<\/p>\n<p><p>\u5728Python\u4e2d\uff0c\u590d\u6570\u4e0d\u4ec5\u4ec5\u662f\u4e00\u4e2a\u6570\u5b57\u7c7b\u578b\uff0c\u5b83\u8fd8\u5177\u6709\u4e00\u4e9b\u7279\u6b8a\u7684\u5c5e\u6027\u548c\u65b9\u6cd5\uff0c\u53ef\u4ee5\u7528\u4e8e\u6570\u5b66\u548c\u79d1\u5b66\u8ba1\u7b97\u3002<\/p>\n<\/p>\n<p><h3>1. \u590d\u6570\u7684\u5c5e\u6027<\/h3>\n<\/p>\n<p><p>\u6bcf\u4e2a\u590d\u6570\u90fd\u6709<code>real<\/code>\u548c<code>imag<\/code>\u5c5e\u6027\uff0c\u5206\u522b\u8868\u793a\u590d\u6570\u7684\u5b9e\u90e8\u548c\u865a\u90e8\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">z = 3 + 4j<\/p>\n<p>print(z.real)  # \u8f93\u51fa\uff1a3.0<\/p>\n<p>print(z.imag)  # \u8f93\u51fa\uff1a4.0<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u8fd9\u4e9b\u5c5e\u6027\u53ef\u4ee5\u5e2e\u52a9\u7a0b\u5e8f\u5458\u5728\u8ba1\u7b97\u8fc7\u7a0b\u4e2d\u8f7b\u677e\u8bbf\u95ee\u590d\u6570\u7684\u5b9e\u90e8\u548c\u865a\u90e8\u3002<\/p>\n<\/p>\n<p><h3>2. \u590d\u6570\u7684\u65b9\u6cd5<\/h3>\n<\/p>\n<p><p>Python\u4e2d\u7684\u590d\u6570\u5bf9\u8c61\u63d0\u4f9b\u4e86\u4e00\u4e9b\u65b9\u6cd5\uff0c\u4f8b\u5982\u5171\u8f6d\u65b9\u6cd5<code>conjugate()<\/code>\uff0c\u7528\u4e8e\u8fd4\u56de\u590d\u6570\u7684\u5171\u8f6d\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">z = 3 + 4j<\/p>\n<p>conjugate_z = z.conjugate()<\/p>\n<p>print(conjugate_z)  # \u8f93\u51fa\uff1a(3-4j)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5171\u8f6d\u662f\u6570\u5b66\u4e2d\u4e00\u79cd\u5e38\u89c1\u7684\u64cd\u4f5c\uff0c\u7279\u522b\u662f\u5728\u5904\u7406\u590d\u6570\u65f6\u3002\u5728\u8bb8\u591a\u6570\u5b66\u8fd0\u7b97\u4e2d\uff0c\u5171\u8f6d\u88ab\u7528\u4e8e\u7b80\u5316\u8ba1\u7b97\u3002<\/p>\n<\/p>\n<p><h2>\u4e94\u3001\u590d\u6570\u7684\u5e94\u7528\u573a\u666f<\/h2>\n<\/p>\n<p><p>\u590d\u6570\u5728\u8bb8\u591a\u9886\u57df\u90fd\u6709\u5e94\u7528\uff0c\u5305\u62ec\u4f46\u4e0d\u9650\u4e8e\u4fe1\u53f7\u5904\u7406\u3001\u63a7\u5236\u7cfb\u7edf\u3001\u91cf\u5b50\u529b\u5b66\u548c\u56fe\u50cf\u5904\u7406\u3002<\/p>\n<\/p>\n<p><h3>1. \u4fe1\u53f7\u5904\u7406\u4e2d\u7684\u5e94\u7528<\/h3>\n<\/p>\n<p><p>\u5728\u4fe1\u53f7\u5904\u7406\u4e2d\uff0c\u590d\u6570\u7528\u4e8e\u8868\u793a\u76f8\u4f4d\u548c\u5e45\u5ea6\u3002\u5085\u91cc\u53f6\u53d8\u6362\u662f\u4fe1\u53f7\u5904\u7406\u4e2d\u4e00\u4e2a\u91cd\u8981\u7684\u5de5\u5177\uff0c\u5b83\u5229\u7528\u590d\u6570\u6765\u5206\u6790\u4fe1\u53f7\u7684\u9891\u57df\u7279\u6027\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import numpy as np<\/p>\n<h2><strong>\u751f\u6210\u4e00\u4e2a\u7b80\u5355\u7684\u4fe1\u53f7<\/strong><\/h2>\n<p>t = np.linspace(0, 1, 500)<\/p>\n<p>signal = np.sin(2 * np.pi * 10 * t) + 0.5 * np.sin(2 * np.pi * 20 * t)<\/p>\n<h2><strong>\u8fdb\u884c\u5085\u91cc\u53f6\u53d8\u6362<\/strong><\/h2>\n<p>fft_result = np.fft.fft(signal)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c<code>fft_result<\/code>\u662f\u4e00\u4e2a\u590d\u6570\u6570\u7ec4\uff0c\u8868\u793a\u4fe1\u53f7\u7684\u9891\u57df\u7279\u6027\u3002<\/p>\n<\/p>\n<p><h3>2. \u63a7\u5236\u7cfb\u7edf\u4e2d\u7684\u5e94\u7528<\/h3>\n<\/p>\n<p><p>\u5728\u63a7\u5236\u7cfb\u7edf\u4e2d\uff0c\u590d\u6570\u7528\u4e8e\u63cf\u8ff0\u7cfb\u7edf\u7684\u7a33\u5b9a\u6027\u548c\u54cd\u5e94\u7279\u6027\u3002\u7279\u5f81\u503c\u901a\u5e38\u662f\u590d\u6570\uff0c\u7528\u4e8e\u5206\u6790\u7cfb\u7edf\u7684\u52a8\u6001\u884c\u4e3a\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">from scipy import signal<\/p>\n<h2><strong>\u5b9a\u4e49\u7cfb\u7edf<\/strong><\/h2>\n<p>num = [1]<\/p>\n<p>den = [1, 2, 1]<\/p>\n<p>system = signal.TransferFunction(num, den)<\/p>\n<h2><strong>\u8ba1\u7b97\u7279\u5f81\u503c<\/strong><\/h2>\n<p>poles = system.poles<\/p>\n<p>print(poles)  # \u8f93\u51fa\uff1a[-1.+0.j -1.+0.j]<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u7279\u5f81\u503c\u662f\u590d\u6570\uff0c\u8868\u793a\u7cfb\u7edf\u7684\u6781\u70b9\u3002<\/p>\n<\/p>\n<p><h3>3. \u91cf\u5b50\u529b\u5b66\u4e2d\u7684\u5e94\u7528<\/h3>\n<\/p>\n<p><p>\u5728\u91cf\u5b50\u529b\u5b66\u4e2d\uff0c\u590d\u6570\u7528\u4e8e\u63cf\u8ff0\u91cf\u5b50\u6001\u548c\u6ce2\u51fd\u6570\u3002\u590d\u6570\u7684\u6a21\u548c\u76f8\u4f4d\u5177\u6709\u7269\u7406\u610f\u4e49\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import cmath<\/p>\n<h2><strong>\u5b9a\u4e49\u4e00\u4e2a\u6ce2\u51fd\u6570<\/strong><\/h2>\n<p>psi = 1 + 1j<\/p>\n<h2><strong>\u8ba1\u7b97\u6a21\u548c\u76f8\u4f4d<\/strong><\/h2>\n<p>modulus = abs(psi)<\/p>\n<p>phase = cmath.phase(psi)<\/p>\n<p>print(modulus, phase)  # \u8f93\u51fa\uff1a1.4142135623730951 0.7853981633974483<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u590d\u6570<code>psi<\/code>\u8868\u793a\u4e00\u4e2a\u6ce2\u51fd\u6570\uff0c\u5176\u6a21\u548c\u76f8\u4f4d\u5206\u522b\u8868\u793a\u6982\u7387\u5e45\u5ea6\u548c\u76f8\u4f4d\u89d2\u3002<\/p>\n<\/p>\n<p><h3>4. \u56fe\u50cf\u5904\u7406\u4e2d\u7684\u5e94\u7528<\/h3>\n<\/p>\n<p><p>\u5728\u56fe\u50cf\u5904\u7406\u4e2d\uff0c\u590d\u6570\u7528\u4e8e\u8868\u793a\u6ee4\u6ce2\u5668\u548c\u53d8\u6362\u3002\u56fe\u50cf\u7684\u5085\u91cc\u53f6\u53d8\u6362\u53ef\u4ee5\u63ed\u793a\u56fe\u50cf\u7684\u9891\u57df\u7279\u6027\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">from scipy import fftpack<\/p>\n<p>import numpy as np<\/p>\n<h2><strong>\u751f\u6210\u4e00\u4e2a\u7b80\u5355\u7684\u56fe\u50cf<\/strong><\/h2>\n<p>image = np.random.rand(256, 256)<\/p>\n<h2><strong>\u8fdb\u884c\u4e8c\u7ef4\u5085\u91cc\u53f6\u53d8\u6362<\/strong><\/h2>\n<p>fft_image = fftpack.fft2(image)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c<code>fft_image<\/code>\u662f\u4e00\u4e2a\u590d\u6570\u6570\u7ec4\uff0c\u8868\u793a\u56fe\u50cf\u7684\u9891\u57df\u7279\u6027\u3002<\/p>\n<\/p>\n<p><h2>\u516d\u3001\u590d\u6570\u8fd0\u7b97<\/h2>\n<\/p>\n<p><p>Python\u652f\u6301\u5bf9\u590d\u6570\u8fdb\u884c\u5404\u79cd\u6570\u5b66\u8fd0\u7b97\uff0c\u5305\u62ec\u52a0\u6cd5\u3001\u51cf\u6cd5\u3001\u4e58\u6cd5\u548c\u9664\u6cd5\u3002<\/p>\n<\/p>\n<p><h3>1. \u52a0\u6cd5\u548c\u51cf\u6cd5<\/h3>\n<\/p>\n<p><p>\u590d\u6570\u7684\u52a0\u6cd5\u548c\u51cf\u6cd5\u9075\u5faa\u5e38\u89c4\u7684\u6570\u5b66\u89c4\u5219\uff0c\u5206\u522b\u5bf9\u5b9e\u90e8\u548c\u865a\u90e8\u8fdb\u884c\u64cd\u4f5c\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">z1 = 3 + 4j<\/p>\n<p>z2 = 1 + 2j<\/p>\n<h2><strong>\u52a0\u6cd5<\/strong><\/h2>\n<p>z_add = z1 + z2<\/p>\n<p>print(z_add)  # \u8f93\u51fa\uff1a (4+6j)<\/p>\n<h2><strong>\u51cf\u6cd5<\/strong><\/h2>\n<p>z_sub = z1 - z2<\/p>\n<p>print(z_sub)  # \u8f93\u51fa\uff1a (2+2j)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u590d\u6570\u7684\u52a0\u6cd5\u548c\u51cf\u6cd5\u5206\u522b\u5bf9\u5b9e\u90e8\u548c\u865a\u90e8\u8fdb\u884c\u64cd\u4f5c\u3002<\/p>\n<\/p>\n<p><h3>2. \u4e58\u6cd5\u548c\u9664\u6cd5<\/h3>\n<\/p>\n<p><p>\u590d\u6570\u7684\u4e58\u6cd5\u548c\u9664\u6cd5\u6d89\u53ca\u5230\u6a21\u548c\u76f8\u4f4d\u7684\u8fd0\u7b97\uff0c\u53ef\u4ee5\u901a\u8fc7\u6570\u5b66\u516c\u5f0f\u8fdb\u884c\u8ba1\u7b97\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">z1 = 3 + 4j<\/p>\n<p>z2 = 1 + 2j<\/p>\n<h2><strong>\u4e58\u6cd5<\/strong><\/h2>\n<p>z_mul = z1 * z2<\/p>\n<p>print(z_mul)  # \u8f93\u51fa\uff1a (-5+10j)<\/p>\n<h2><strong>\u9664\u6cd5<\/strong><\/h2>\n<p>z_div = z1 \/ z2<\/p>\n<p>print(z_div)  # \u8f93\u51fa\uff1a (2.2-0.4j)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u590d\u6570\u7684\u4e58\u6cd5\u548c\u9664\u6cd5\u9075\u5faa\u590d\u6570\u7684\u6570\u5b66\u5b9a\u4e49\u3002<\/p>\n<\/p>\n<p><h3>3. \u5e42\u8fd0\u7b97<\/h3>\n<\/p>\n<p><p>Python\u652f\u6301\u5bf9\u590d\u6570\u8fdb\u884c\u5e42\u8fd0\u7b97\uff0c\u4f7f\u7528<code><\/code>\u8fd0\u7b97\u7b26\u5373\u53ef\u5b9e\u73b0\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">z = 3 + 4j<\/p>\n<h2><strong>\u5e42\u8fd0\u7b97<\/strong><\/h2>\n<p>z_pow = z  2<\/p>\n<p>print(z_pow)  # \u8f93\u51fa\uff1a (-7+24j)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u590d\u6570\u7684\u5e42\u8fd0\u7b97\u6d89\u53ca\u5230\u6a21\u548c\u76f8\u4f4d\u7684\u5e42\u8fd0\u7b97\u3002<\/p>\n<\/p>\n<p><h2>\u4e03\u3001\u590d\u6570\u7684\u8868\u793a\u4e0e\u53ef\u89c6\u5316<\/h2>\n<\/p>\n<p><p>\u590d\u6570\u53ef\u4ee5\u901a\u8fc7\u76f4\u89d2\u5750\u6807\u7cfb\u548c\u6781\u5750\u6807\u7cfb\u8fdb\u884c\u8868\u793a\uff0c\u5e76\u901a\u8fc7\u53ef\u89c6\u5316\u5de5\u5177\u8fdb\u884c\u5c55\u793a\u3002<\/p>\n<\/p>\n<p><h3>1. \u76f4\u89d2\u5750\u6807\u7cfb\u8868\u793a<\/h3>\n<\/p>\n<p><p>\u5728\u76f4\u89d2\u5750\u6807\u7cfb\u4e2d\uff0c\u590d\u6570\u7684\u5b9e\u90e8\u548c\u865a\u90e8\u5206\u522b\u5bf9\u5e94\u4e8ex\u8f74\u548cy\u8f74\u7684\u5750\u6807\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import matplotlib.pyplot as plt<\/p>\n<h2><strong>\u5b9a\u4e49\u590d\u6570<\/strong><\/h2>\n<p>z = 3 + 4j<\/p>\n<h2><strong>\u7ed8\u5236\u590d\u6570<\/strong><\/h2>\n<p>plt.plot([0, z.real], [0, z.imag], &#39;bo-&#39;)<\/p>\n<p>plt.xlim(-5, 5)<\/p>\n<p>plt.ylim(-5, 5)<\/p>\n<p>plt.xlabel(&#39;Real&#39;)<\/p>\n<p>plt.ylabel(&#39;Imaginary&#39;)<\/p>\n<p>plt.title(&#39;Complex Number in Cartesian Coordinate&#39;)<\/p>\n<p>plt.grid()<\/p>\n<p>plt.show()<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u590d\u6570<code>z<\/code>\u901a\u8fc7\u76f4\u89d2\u5750\u6807\u7cfb\u8fdb\u884c\u8868\u793a\u3002<\/p>\n<\/p>\n<p><h3>2. \u6781\u5750\u6807\u7cfb\u8868\u793a<\/h3>\n<\/p>\n<p><p>\u5728\u6781\u5750\u6807\u7cfb\u4e2d\uff0c\u590d\u6570\u901a\u8fc7\u6a21\u548c\u76f8\u4f4d\u8fdb\u884c\u8868\u793a\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import numpy as np<\/p>\n<h2><strong>\u5b9a\u4e49\u590d\u6570<\/strong><\/h2>\n<p>z = 3 + 4j<\/p>\n<h2><strong>\u8ba1\u7b97\u6a21\u548c\u76f8\u4f4d<\/strong><\/h2>\n<p>modulus = abs(z)<\/p>\n<p>angle = np.angle(z)<\/p>\n<h2><strong>\u7ed8\u5236\u590d\u6570<\/strong><\/h2>\n<p>plt.polar([0, angle], [0, modulus], &#39;bo-&#39;)<\/p>\n<p>plt.title(&#39;Complex Number in Polar Coordinate&#39;)<\/p>\n<p>plt.show()<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u590d\u6570<code>z<\/code>\u901a\u8fc7\u6781\u5750\u6807\u7cfb\u8fdb\u884c\u8868\u793a\uff0c\u5176\u6a21\u548c\u76f8\u4f4d\u5206\u522b\u8868\u793a\u534a\u5f84\u548c\u89d2\u5ea6\u3002<\/p>\n<\/p>\n<p><h2>\u516b\u3001\u603b\u7ed3<\/h2>\n<\/p>\n<p><p>\u590d\u6570\u5728Python\u4e2d\u6709\u591a\u79cd\u8d4b\u503c\u548c\u64cd\u4f5c\u65b9\u5f0f\uff0c\u5305\u62ec\u4f7f\u7528<code>complex()<\/code>\u51fd\u6570\u3001<code>j<\/code>\u6216<code>J<\/code>\u540e\u7f00\u4ee5\u53ca\u901a\u8fc7\u6570\u5b66\u8fd0\u7b97\u751f\u6210\u3002Python\u63d0\u4f9b\u4e86\u4e00\u7cfb\u5217\u65b9\u6cd5\u548c\u5c5e\u6027\u7528\u4e8e\u590d\u6570\u7684\u8fd0\u7b97\u548c\u8868\u793a\uff0c\u8fd9\u4f7f\u5f97\u590d\u6570\u5728\u79d1\u5b66\u8ba1\u7b97\u3001\u5de5\u7a0b\u5e94\u7528\u548c\u6570\u636e\u5206\u6790\u4e2d\u5f97\u5230\u4e86\u5e7f\u6cdb\u7684\u5e94\u7528\u3002\u901a\u8fc7\u638c\u63e1\u590d\u6570\u7684\u57fa\u672c\u64cd\u4f5c\u548c\u5e94\u7528\u573a\u666f\uff0c\u7a0b\u5e8f\u5458\u53ef\u4ee5\u66f4\u6709\u6548\u5730\u89e3\u51b3\u6d89\u53ca\u590d\u6570\u7684\u590d\u6742\u95ee\u9898\u3002<\/p>\n<\/p>\n<h2><strong>\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n<p> <strong>\u5982\u4f55\u5728Python\u4e2d\u521b\u5efa\u590d\u6570\uff1f<\/strong><br \/>\u5728Python\u4e2d\uff0c\u590d\u6570\u53ef\u4ee5\u901a\u8fc7\u76f4\u63a5\u4f7f\u7528\u5b57\u6bcd\u201cj\u201d\u6216\u201cJ\u201d\u6765\u8868\u793a\u865a\u90e8\u3002\u4f8b\u5982\uff0c\u60a8\u53ef\u4ee5\u4f7f\u7528 <code>complex<\/code> \u51fd\u6570\u6216\u76f4\u63a5\u5199\u51fa\u590d\u6570\u5f62\u5f0f\u3002\u4ee5\u4e0b\u662f\u521b\u5efa\u590d\u6570\u7684\u51e0\u79cd\u65b9\u6cd5\uff1a  <\/p>\n<pre><code class=\"language-python\">z1 = 3 + 4j  # \u76f4\u63a5\u521b\u5efa\u590d\u6570\nz2 = complex(3, 4)  # \u4f7f\u7528complex\u51fd\u6570\n<\/code><\/pre>\n<p>\u8fd9\u4e24\u79cd\u65b9\u5f0f\u90fd\u5c06\u751f\u6210\u4e00\u4e2a\u5b9e\u90e8\u4e3a3\uff0c\u865a\u90e8\u4e3a4\u7684\u590d\u6570\u3002<\/p>\n<p><strong>Python\u652f\u6301\u54ea\u4e9b\u590d\u6570\u8fd0\u7b97\uff1f<\/strong><br \/>Python\u652f\u6301\u591a\u79cd\u590d\u6570\u8fd0\u7b97\uff0c\u5305\u62ec\u52a0\u6cd5\u3001\u51cf\u6cd5\u3001\u4e58\u6cd5\u548c\u9664\u6cd5\u7b49\u3002\u60a8\u53ef\u4ee5\u76f4\u63a5\u5bf9\u590d\u6570\u8fdb\u884c\u6570\u5b66\u8fd0\u7b97\uff0cPython\u4f1a\u81ea\u52a8\u5904\u7406\u590d\u6570\u7684\u8ba1\u7b97\u3002\u4f8b\u5982\uff1a  <\/p>\n<pre><code class=\"language-python\">z1 = 1 + 2j\nz2 = 3 + 4j\nresult = z1 + z2  # \u7ed3\u679c\u4e3a(4+6j)\n<\/code><\/pre>\n<p>\u6b64\u5916\uff0cPython\u8fd8\u63d0\u4f9b\u4e86\u5185\u7f6e\u7684\u590d\u6570\u51fd\u6570\uff0c\u6bd4\u5982\u83b7\u53d6\u6a21\uff08\u7edd\u5bf9\u503c\uff09\u548c\u76f8\u4f4d\uff08\u89d2\u5ea6\uff09\uff0c\u53ef\u4ee5\u4f7f\u7528 <code>abs(z)<\/code> \u548c <code>cmath.phase(z)<\/code> \u6765\u5b9e\u73b0\u3002<\/p>\n<p><strong>\u5982\u4f55\u8bbf\u95ee\u590d\u6570\u7684\u5b9e\u90e8\u548c\u865a\u90e8\uff1f<\/strong><br \/>\u5728Python\u4e2d\uff0c\u590d\u6570\u5bf9\u8c61\u5177\u6709 <code>real<\/code> \u548c <code>imag<\/code> \u5c5e\u6027\uff0c\u53ef\u4ee5\u65b9\u4fbf\u5730\u8bbf\u95ee\u5b9e\u90e8\u548c\u865a\u90e8\u3002\u4f8b\u5982\uff1a  <\/p>\n<pre><code class=\"language-python\">z = 5 + 7j\nreal_part = z.real  # \u7ed3\u679c\u4e3a5\nimaginary_part = z.imag  # \u7ed3\u679c\u4e3a7\n<\/code><\/pre>\n<p>\u901a\u8fc7\u8fd9\u4e9b\u5c5e\u6027\uff0c\u60a8\u53ef\u4ee5\u8f7b\u677e\u83b7\u53d6\u590d\u6570\u7684\u5404\u4e2a\u90e8\u5206\uff0c\u4fbf\u4e8e\u540e\u7eed\u7684\u8ba1\u7b97\u548c\u5904\u7406\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u5728Python\u4e2d\u7ed9\u590d\u6570\u8d4b\u503c\u7684\u65b9\u6cd5\u6709\u591a\u79cd\uff0c\u4e3b\u8981\u5305\u62ec\uff1a\u76f4\u63a5\u4f7f\u7528complex()\u51fd\u6570\u3001\u4f7f\u7528j\u6216J\u8868\u793a\u865a\u90e8\u3001\u901a\u8fc7\u6570\u5b66 [&hellip;]","protected":false},"author":3,"featured_media":975073,"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\/975064"}],"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=975064"}],"version-history":[{"count":"1","href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/975064\/revisions"}],"predecessor-version":[{"id":975074,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/975064\/revisions\/975074"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media\/975073"}],"wp:attachment":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media?parent=975064"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/categories?post=975064"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/tags?post=975064"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}