{"id":197601,"date":"2024-05-09T23:44:34","date_gmt":"2024-05-09T15:44:34","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/197601.html"},"modified":"2024-05-09T23:44:40","modified_gmt":"2024-05-09T15:44:40","slug":"%e6%8c%87%e6%95%b0%e7%9b%b8%e5%85%b3%e7%9a%84%e8%bf%90%e7%ae%97%e6%b3%95%e5%88%99%e5%9c%a8%e5%a4%8d%e6%95%b0%e5%9f%9f%e9%87%8c%e6%88%90%e7%ab%8b%e5%90%97","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/197601.html","title":{"rendered":"\u6307\u6570\u76f8\u5173\u7684\u8fd0\u7b97\u6cd5\u5219\u5728\u590d\u6570\u57df\u91cc\u6210\u7acb\u5417"},"content":{"rendered":"<p style=\"text-align:center\"><img decoding=\"async\" src=\"https:\/\/cdn-kb.worktile.com\/kb\/wp-content\/uploads\/2024\/04\/24140031\/8ad160e9-5235-4f9a-a63a-6fafb81ac2be.webp\" alt=\"\u6307\u6570\u76f8\u5173\u7684\u8fd0\u7b97\u6cd5\u5219\u5728\u590d\u6570\u57df\u91cc\u6210\u7acb\u5417\" \/><\/p>\n<p><p><strong>\u5728\u590d\u6570\u57df\u5185\uff0c\u6307\u6570\u76f8\u5173\u7684\u8fd0\u7b97\u6cd5\u5219\u5927\u81f4\u6210\u7acb\uff0c\u8fd9\u4e9b\u8fd0\u7b97\u6cd5\u5219\u5305\u62ec\u6307\u6570\u51fd\u6570\u7684\u57fa\u672c\u6027\u8d28\u3001\u5e42\u7684\u8fd0\u7b97\u6cd5\u5219\u3001\u4ee5\u53ca\u590d\u6570\u6307\u6570\u51fd\u6570\u7684\u6b27\u62c9\u516c\u5f0f<\/strong>\u3002\u5728\u6570\u5b66\u7684\u590d\u6570\u57df\u4e2d\uff0c\u590d\u6307\u6570\u51fd\u6570\u4e0e\u5b9e\u6570\u6307\u6570\u51fd\u6570\u5171\u4eab\u8bb8\u591a\u76f8\u540c\u7684\u6027\u8d28\uff0c\u5e76\u7531\u6b64\u5f15\u51fa\u4e00\u7cfb\u5217\u6709\u8da3\u7684\u7ed3\u679c\u548c\u5e94\u7528\u3002\u5177\u4f53\u5730\u8bf4\uff0c<strong>\u5e42\u7684\u8fd0\u7b97\u6cd5\u5219<\/strong>\u5728\u590d\u6570\u4e2d\u7684\u6269\u5c55\u4e3a\u6211\u4eec\u63d0\u4f9b\u4e86\u4e00\u79cd\u7406\u89e3\u590d\u6570\u53ca\u5176\u8fd0\u7b97\u7684\u65b0\u89c6\u89d2\u3002\u5728\u8fd9\u4e9b\u8fd0\u7b97\u6cd5\u5219\u4e2d\uff0c<strong>\u6b27\u62c9\u516c\u5f0f<\/strong>\u5c24\u4e3a\u91cd\u8981\uff0c\u5b83\u63ed\u793a\u4e86\u590d\u6307\u6570\u51fd\u6570\u4e0e\u4e09\u89d2\u51fd\u6570\u4e4b\u95f4\u7684\u6df1\u523b\u8054\u7cfb\u3002<\/p>\n<\/p>\n<p><h2>\u4e00\u3001\u6307\u6570\u51fd\u6570\u7684\u57fa\u672c\u6027\u8d28\u5728\u590d\u6570\u57df\u7684\u9002\u7528\u6027<\/h2>\n<\/p>\n<p><h3>\u590d\u6570\u6307\u6570\u51fd\u6570\u7684\u5b9a\u4e49<\/h3>\n<\/p>\n<p><p>\u590d\u6570\u6307\u6570\u51fd\u6570\u88ab\u5b9a\u4e49\u4e3a\u4ee5\u81ea\u7136\u6570e\u4e3a\u5e95\u7684\u6307\u6570\u51fd\u6570\u7684\u6269\u5c55\uff0c\u5f62\u5f0f\u4e0a\u4e3a(e^{z})\uff0c\u5176\u4e2d(z)\u662f\u4e00\u4e2a\u590d\u6570\u3002\u8fd9\u4e2a\u5b9a\u4e49\u5141\u8bb8\u6211\u4eec\u5728\u5904\u7406\u590d\u6570\u6307\u6570\u65f6\u4eab\u6709\u7c7b\u4f3c\u4e8e\u5b9e\u6570\u6307\u6570\u8fd0\u7b97\u7684\u4fbf\u5229\u6027\u548c\u76f4\u89c2\u6027\u3002<\/p>\n<\/p>\n<p><h3>\u6027\u8d28\u7684\u9002\u7528\u6027\u4e0e\u4f8b\u5916<\/h3>\n<\/p>\n<p><p>\u867d\u7136\u8bb8\u591a\u5b9e\u6570\u57df\u4e2d\u6307\u6570\u51fd\u6570\u7684\u6027\u8d28\u5728\u590d\u6570\u57df\u4e2d\u540c\u6837\u6210\u7acb\uff0c\u5982\u6307\u6570\u51fd\u6570\u7684\u8fde\u7eed\u6027\u3001\u5fae\u5206\u6027\u7b49\uff0c\u4f46\u5728\u590d\u6570\u57df\u4e2d\u8fdb\u884c\u6307\u6570\u8fd0\u7b97\u65f6\u9700\u8981\u989d\u5916\u6ce8\u610f\u5206\u652f\u95ee\u9898\u548c\u5b9a\u4e49\u57df\u7684\u9009\u62e9\u3002<\/p>\n<\/p>\n<p><h2>\u4e8c\u3001\u5e42\u7684\u8fd0\u7b97\u6cd5\u5219\u5728\u590d\u6570\u57df\u7684\u8868\u73b0<\/h2>\n<\/p>\n<p><h3>\u5e42\u7684\u8fd0\u7b97\u6cd5\u5219\u6269\u5c55<\/h3>\n<\/p>\n<p><p>\u5728\u590d\u6570\u57df\u4e2d\uff0c\u5e42\u7684\u8fd0\u7b97\u6cd5\u5219\u2014\u2014\u5305\u62ec\u4e58\u6cd5\u6cd5\u5219\u3001\u9664\u6cd5\u6cd5\u5219\u3001\u5e42\u7684\u5e42\u6cd5\u5219\u2014\u2014\u4f9d\u7136\u9002\u7528\u3002\u8fd9\u4e9b\u89c4\u5219\u4e3a\u590d\u6570\u7684\u4e58\u6cd5\u3001\u9664\u6cd5\u548c\u5e42\u8fd0\u7b97\u63d0\u4f9b\u4e86\u575a\u5b9e\u7684\u7406\u8bba\u57fa\u7840\u3002\u7279\u522b\u5730\uff0c\u590d\u6570\u7684\u4e58\u6cd5\u548c\u5e42\u8fd0\u7b97\u53ef\u4ee5\u901a\u8fc7\u6781\u5750\u6807\u5f62\u5f0f\u7b80\u5316\u5904\u7406\u3002<\/p>\n<\/p>\n<p><h3>\u5e42\u8fd0\u7b97\u7684\u7279\u6b8a\u60c5\u51b5<\/h3>\n<\/p>\n<p><p>\u5f53\u5e94\u7528\u4e8e\u590d\u6570\u65f6\uff0c\u7279\u522b\u662f\u5728\u6d89\u53ca\u5230\u590d\u6570\u7684\u5e42\u8fd0\u7b97\uff0c\u4f8b\u5982\u8ba1\u7b97\u590d\u6570\u7684\u5e73\u65b9\u6839\u6216\u66f4\u9ad8\u9636\u7684\u6839\u65f6\uff0c\u9700\u8981\u7279\u522b\u8003\u8651\u5176\u591a\u503c\u6027\u548c\u4e3b\u503c\u7684\u9009\u62e9\u95ee\u9898\u3002\u8fd9\u4e9b\u7279\u6b8a\u60c5\u51b5\u9700\u8981\u7ec6\u81f4\u7684\u5206\u6790\u548c\u7cbe\u786e\u7684\u5904\u7406\u65b9\u6cd5\u3002<\/p>\n<\/p>\n<p><h2>\u4e09\u3001\u590d\u6570\u6307\u6570\u51fd\u6570\u7684\u6b27\u62c9\u516c\u5f0f<\/h2>\n<\/p>\n<p><h3>\u6b27\u62c9\u516c\u5f0f\u7684\u9610\u8ff0\u4e0e\u8bc1\u660e<\/h3>\n<\/p>\n<p><p><strong>\u6b27\u62c9\u516c\u5f0f<\/strong>\uff0c\u5f62\u5f0f\u4e3a(e^{ix} = \\cos x + i\\sin x)\uff0c\u662f\u590d\u6570\u6307\u6570\u51fd\u6570\u9886\u57df\u4e2d\u7684\u4e00\u4e2a\u57fa\u77f3\uff0c\u5b83\u5efa\u7acb\u4e86\u590d\u6307\u6570\u51fd\u6570\u548c\u4e09\u89d2\u51fd\u6570\u4e4b\u95f4\u7684\u6865\u6881\u3002\u8fd9\u4e2a\u516c\u5f0f\u4e0d\u4ec5\u5728\u6570\u5b66\u4e0a\u5177\u6709\u91cd\u8981\u610f\u4e49\uff0c\u5728\u7269\u7406\u548c\u5de5\u7a0b\u5b66\u9886\u57df\u4e5f\u6709\u5e7f\u6cdb\u7684\u5e94\u7528\u3002<\/p>\n<\/p>\n<p><h3>\u6b27\u62c9\u516c\u5f0f\u7684\u5e94\u7528\u5c55\u5f00<\/h3>\n<\/p>\n<p><p>\u5229\u7528\u6b27\u62c9\u516c\u5f0f\uff0c\u6211\u4eec\u53ef\u4ee5\u5728\u5904\u7406\u6d89\u53ca\u590d\u6570\u7684\u6ce2\u52a8\u3001\u632f\u52a8\u7b49\u95ee\u9898\u65f6\uff0c\u5c06\u95ee\u9898\u7b80\u5316\u3002\u901a\u8fc7\u5c06\u590d\u6570\u8868\u793a\u4e3a\u5176\u6781\u5750\u6807\u5f62\u5f0f\uff0c\u6211\u4eec\u53ef\u4ee5\u66f4\u52a0\u76f4\u89c2\u5730\u7406\u89e3\u548c\u8fd0\u7b97\u590d\u6570\uff0c\u4ece\u800c\u5728\u7535\u8def\u5206\u6790\u3001\u91cf\u5b50\u7269\u7406\u7b49\u9886\u57df\u5f97\u5230\u5e7f\u6cdb\u7684\u5e94\u7528\u3002<\/p>\n<\/p>\n<p><h2>\u56db\u3001\u5b9e\u9645\u5e94\u7528\u4e3e\u4f8b\u4e0e\u6df1\u5165\u7406\u89e3<\/h2>\n<\/p>\n<p><h3>\u5728\u7269\u7406\u548c\u5de5\u7a0b\u5b66\u4e2d\u7684\u5e94\u7528<\/h3>\n<\/p>\n<p><p>\u590d\u6570\u57df\u4e2d\u7684\u6307\u6570\u8fd0\u7b97\u6cd5\u5219\uff0c\u5c24\u5176\u662f\u6b27\u62c9\u516c\u5f0f\uff0c\u88ab\u5e7f\u6cdb\u5e94\u7528\u4e8e\u7535\u5b50\u5de5\u7a0b\u3001\u91cf\u5b50\u7269\u7406\u5b66\u4e2d\u7684\u95ee\u9898\u6c42\u89e3\u3002\u4f8b\u5982\uff0c\u5728\u5206\u6790\u4ea4\u6d41\u7535\u8def\u65f6\uff0c\u590d\u6570\u5f62\u5f0f\u53ef\u4ee5\u7b80\u5316\u7535\u538b\u548c\u7535\u6d41\u7684\u76f8\u4f4d\u5206\u6790\u95ee\u9898\u3002<\/p>\n<\/p>\n<p><h3>\u6570\u5b66\u7406\u8bba\u7684\u6df1\u5165\u63a2\u8ba8<\/h3>\n<\/p>\n<p><p>\u9664\u4e86\u5e94\u7528\u5c42\u9762\uff0c\u590d\u6570\u57df\u4e2d\u7684\u6307\u6570\u8fd0\u7b97\u6cd5\u5219\u4e5f\u4fc3\u8fdb\u4e86\u6570\u5b66\u7406\u8bba\u7684\u53d1\u5c55\uff0c\u5305\u62ec\u590d\u5206\u6790\u3001\u9ece\u66fc\u9762\u7406\u8bba\u7b49\u9886\u57df\u3002\u8fd9\u4e9b\u7406\u8bba\u5728\u89e3\u6790\u590d\u6570\u51fd\u6570\u3001\u63cf\u8ff0\u590d\u6570\u7a7a\u95f4\u7b49\u65b9\u9762\u53d1\u6325\u4e86\u5173\u952e\u4f5c\u7528\u3002<\/p>\n<\/p>\n<p><p>\u7efc\u4e0a\u6240\u8ff0\uff0c\u6307\u6570\u76f8\u5173\u7684\u8fd0\u7b97\u6cd5\u5219\u4e0d\u4ec5\u5728\u590d\u6570\u57df\u5185\u6210\u7acb\uff0c\u800c\u4e14\u8fd8\u6269\u5c55\u4e86\u6211\u4eec\u5bf9\u6570\u5b66\u548c\u7269\u7406\u4e16\u754c\u7684\u8ba4\u8bc6\u3002\u901a\u8fc7\u5b66\u4e60\u548c\u5e94\u7528\u8fd9\u4e9b\u8fd0\u7b97\u6cd5\u5219\uff0c\u6211\u4eec\u53ef\u4ee5\u66f4\u6df1\u5165\u5730\u63a2\u7d22\u590d\u6570\u7406\u8bba\u53ca\u5176\u5728\u5404\u4e2a\u9886\u57df\u4e2d\u7684\u5e94\u7528\u3002<\/p>\n<\/p>\n<h2><strong>\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n<p><strong>1. \u590d\u6570\u57df\u4e2d\u7684\u6307\u6570\u8fd0\u7b97\u6cd5\u5219\u6709\u54ea\u4e9b?<\/strong><\/p>\n<p>\u5728\u590d\u6570\u57df\u4e2d\uff0c\u6307\u6570\u8fd0\u7b97\u6cd5\u5219\u4e5f\u662f\u6210\u7acb\u7684\u3002\u5177\u4f53\u7684\u6307\u6570\u8fd0\u7b97\u6cd5\u5219\u5305\u62ec\uff1a<\/p>\n<ul>\n<li>\u5e42\u7684\u52a0\u6cd5\u6cd5\u5219\uff1aa^x * a^y = a^(x+y)\uff0c\u5176\u4e2da\u4e3a\u5e38\u6570\uff0cx\u548cy\u4e3a\u590d\u6570\u3002<\/li>\n<li>\u5e42\u7684\u4e58\u6cd5\u6cd5\u5219\uff1a(a^x)^y = a^(x*y)\uff0c\u5176\u4e2da\u4e3a\u5e38\u6570\uff0cx\u548cy\u4e3a\u590d\u6570\u3002<\/li>\n<li>\u5e42\u7684\u5e42\u6cd5\u5219\uff1a(a^x)^y = a^(x*y)\uff0c\u5176\u4e2da\u4e3a\u5e38\u6570\uff0cx\u548cy\u4e3a\u590d\u6570\u3002<\/li>\n<li>\u5e42\u7684\u9664\u6cd5\u6cd5\u5219\uff1aa^x \/ a^y = a^(x-y)\uff0c\u5176\u4e2da\u4e3a\u5e38\u6570\uff0cx\u548cy\u4e3a\u590d\u6570\u3002<\/li>\n<\/ul>\n<p><strong>2. \u5982\u4f55\u5728\u590d\u6570\u57df\u4e2d\u8fdb\u884c\u6307\u6570\u8fd0\u7b97?<\/strong><\/p>\n<p>\u5728\u590d\u6570\u57df\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u590d\u6570\u8868\u793a\u4e3a a + bi \u7684\u5f62\u5f0f\uff0c\u5176\u4e2d a \u548c b \u5206\u522b\u4e3a\u5b9e\u6570\u90e8\u5206\u548c\u865a\u6570\u90e8\u5206\u3002\u8fdb\u884c\u6307\u6570\u8fd0\u7b97\u65f6\uff0c\u5b9e\u6570\u90e8\u5206\u548c\u865a\u6570\u90e8\u5206\u5206\u522b\u8fdb\u884c\u6307\u6570\u8fd0\u7b97\uff0c\u7136\u540e\u518d\u8fdb\u884c\u76f8\u5e94\u7684\u6570\u5b66\u64cd\u4f5c\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u8981\u8ba1\u7b97 (2+3i)^4\uff0c\u6211\u4eec\u53ef\u4ee5\u5148\u6839\u636e\u6307\u6570\u8fd0\u7b97\u6cd5\u5219\u5c06\u5176\u62c6\u5206\u4e3a (2^4) * (3i)^4\uff0c\u7136\u540e\u8ba1\u7b97\u7ed3\u679c\u4e3a 16 * 81 * i^4\u3002\u6839\u636e\u865a\u6570\u5355\u4f4d i \u7684\u7279\u6027\uff0ci^4 \u7684\u7ed3\u679c\u4e3a 1\uff0c\u56e0\u6b64\u6700\u7ec8\u7684\u8ba1\u7b97\u7ed3\u679c\u4e3a 16 * 81 = 1296\u3002<\/p>\n<p><strong>3. \u590d\u6570\u57df\u4e2d\u7684\u6307\u6570\u8fd0\u7b97\u6cd5\u5219\u6709\u4f55\u5e94\u7528?<\/strong><\/p>\n<p>\u590d\u6570\u57df\u4e2d\u7684\u6307\u6570\u8fd0\u7b97\u6cd5\u5219\u5728\u8bb8\u591a\u79d1\u5b66\u548c\u5de5\u7a0b\u9886\u57df\u4e2d\u90fd\u6709\u5e7f\u6cdb\u7684\u5e94\u7528\u3002\u4f8b\u5982\u5728\u7535\u8def\u5206\u6790\u4e2d\uff0c\u590d\u6570\u57df\u4e2d\u7684\u6307\u6570\u8fd0\u7b97\u6cd5\u5219\u53ef\u4ee5\u5e2e\u52a9\u8ba1\u7b97\u4ea4\u6d41\u7535\u8def\u4e2d\u7684\u7535\u538b\u548c\u7535\u6d41\u7684\u76f8\u4f4d\u5dee\uff1b\u5728\u4fe1\u53f7\u5904\u7406\u4e2d\uff0c\u53ef\u4ee5\u5229\u7528\u590d\u6570\u57df\u4e2d\u7684\u6307\u6570\u8fd0\u7b97\u6cd5\u5219\u8fdb\u884c\u9891\u8c31\u5206\u6790\u548c\u6ee4\u6ce2\u7b49\u64cd\u4f5c\uff1b\u5728\u5fae\u79ef\u5206\u4e2d\uff0c\u6307\u6570\u51fd\u6570\u7684\u5bfc\u6570\u548c\u79ef\u5206\u7b49\u8fd0\u7b97\u4e5f\u53ef\u4ee5\u901a\u8fc7\u590d\u6570\u57df\u4e2d\u7684\u6307\u6570\u8fd0\u7b97\u6cd5\u5219\u8fdb\u884c\u8ba1\u7b97\u7b49\u7b49\u3002\u590d\u6570\u57df\u4e2d\u7684\u6307\u6570\u8fd0\u7b97\u6cd5\u5219\u4e3a\u6211\u4eec\u63d0\u4f9b\u4e86\u4e00\u79cd\u7b80\u6d01\u800c\u5f3a\u5927\u7684\u6570\u5b66\u5de5\u5177\uff0c\u7528\u4e8e\u5904\u7406\u590d\u6570\u8fd0\u7b97\u7684\u590d\u6742\u6027\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u5728\u590d\u6570\u57df\u5185\uff0c\u6307\u6570\u76f8\u5173\u7684\u8fd0\u7b97\u6cd5\u5219\u5927\u81f4\u6210\u7acb\uff0c\u8fd9\u4e9b\u8fd0\u7b97\u6cd5\u5219\u5305\u62ec\u6307\u6570\u51fd\u6570\u7684\u57fa\u672c\u6027\u8d28\u3001\u5e42\u7684\u8fd0\u7b97\u6cd5\u5219\u3001\u4ee5\u53ca\u590d\u6570\u6307\u6570\u51fd\u6570\u7684\u6b27 [&hellip;]","protected":false},"author":3,"featured_media":197605,"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\/197601"}],"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=197601"}],"version-history":[{"count":0,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/197601\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media\/197605"}],"wp:attachment":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media?parent=197601"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/categories?post=197601"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/tags?post=197601"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}