{"id":179,"date":"2023-07-15T13:24:09","date_gmt":"2023-07-15T13:24:09","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e5%a4%8d%e6%95%b0%e7%9a%84%e6%a0%b9\/"},"modified":"2023-07-15T13:24:09","modified_gmt":"2023-07-15T13:24:09","slug":"%e5%a4%8d%e6%95%b0%e7%9a%84%e6%a0%b9","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e5%a4%8d%e6%95%b0%e7%9a%84%e6%a0%b9\/","title":{"rendered":"\u590d\u6570\u7684\u6839"},"content":{"rendered":"<p>\u8ba1\u7b97<strong>\u590d\u6570\u7684\u6839<\/strong>\u975e\u5e38\u7b80\u5355\u3002\u55ef\uff0c\u4e00\u65e6\u4f60\u7406\u89e3\u4e86\u8fd9\u4e2a\u8fc7\u7a0b\uff0c\u4f60\u5c31\u4f1a\u53d1\u73b0\u5b83\u662f\u76f8\u5f53\u91cd\u590d\u7684\u3002\u63a5\u4e0b\u6765\u6211\u4eec\u4f1a\u89e3\u91ca\u5b83\u5e76\u7ed9\u4f60\u4e00\u4e2a\u4f8b\u5b50\uff0c\u8fd9\u6837\u4f60\u5c31\u53ef\u4ee5\u5b66\u4e60\u5982\u4f55\u5728\u5b9e\u9645\u7ec3\u4e60\u4e2d\u5e94\u7528\u5b83\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Raices_enesimas_de_numeros_complejos\">\u590d\u6570\u7684 n \u6b21\u65b9\u6839<\/span><\/h2>\n<p>n\u6b21\u6839\u7684\u6982\u5ff5\u76f8\u5f53\u4e8en\u9636\u6839\uff0c\u56e0\u6b64\uff0c\u8ba1\u7b97\u590d\u6570\u7684\u5e73\u65b9\u6839\u548c\u4e94\u6b21\u65b9\u6839\u4e5f\u7528\u540c\u6837\u7684\u65b9\u6cd5\u3002\u5f53\u7136\uff0c\u89e3\u7684\u6570\u91cf\u4f1a\u6839\u636e\u8fd9\u4e2a\u987a\u5e8f\u800c\u53d8\u5316\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u8ba1\u7b97\u590d\u6570\u7684\u56db\u6b21\u65b9\u6839\uff0c\u6211\u4eec\u4f1a\u5f97\u5230 4 \u4e2a\u4e0d\u540c\u7684\u89e3\u3002\u5982\u679c\u6211\u4eec\u7528<a href=\"https:\/\/mathority.org\/cn\/\u590d\u5e73\u9762\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u590d\u5e73\u9762<\/a>\u6765\u8868\u8fbe\u5b83\uff0c\u6211\u4eec\u4f1a\u770b\u5230\u4e00\u4e2a\u6709 4 \u6761\u8fb9\u7684\u6b63\u591a\u8fb9\u5f62\u5f62\u6210\u4e86\uff0c\u4ee5\u5e73\u9762\u539f\u70b9\u4e3a\u4e2d\u5fc3\u3002\u8fd9\u662f\u4e00\u4e2a\u975e\u5e38\u6709\u8da3\u7684\u5c5e\u6027\uff0c\u6211\u4eec\u7a0d\u540e\u5c06\u8be6\u7ec6\u4ecb\u7ecd\uff08\u5728\u793a\u4f8b\u90e8\u5206\uff09\u3002<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u5df2\u7ecf\u9610\u660e\u4e86\u8fd9\u4e2a\u6982\u5ff5\uff0c\u6211\u4eec\u5c06\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u6781\u5750\u6807\u5f62\u5f0f\u7684\u590d\u6570\u7684\u6839\uff08\u4f7f\u7528\u8fd9\u79cd\u8868\u793a\u6cd5\u5bf9\u4e8e\u89e3\u6839\u6765\u8bf4\u662f\u6700\u8212\u670d\u7684\u3002\uff09\u3002\u7b80\u5355\u6765\u8bf4\uff0c\u60a8\u9700\u8981\u8ba1\u7b97\u6a21\u6570\u7684\u6839\u5e76\u7528 n \u8868\u793a\u53c2\u6570\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u4ee5\u4e0b\u590d\u6570 (z) \u7684\u6839\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"72\" height=\"29\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/nombre-sous-forme-polaire.webp\" data-src=\"\" alt=\"\u6781\u5750\u6807\u5f62\u5f0f\u7684\u6570\" class=\"wp-image-11307 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u8fd9\u4e9b\u91d1\u989d\u8981\u8ba1\u7b97\uff1a<\/p>\n<ul>\n<li> <strong>Module\uff1a<\/strong>\u521d\u59cb\u6a21\u7684\u7b2cn\u4e2a\u6839\u3002<\/li>\n<li><strong>\u81ea\u53d8\u91cf\uff1a<\/strong>\u5728\u81ea\u53d8\u91cf\u4e2d\u52a0\u4e0a 2\u03c0k\uff08\u4ee5\u5f27\u5ea6\u4e3a\u5355\u4f4d\uff09\u6216 360k\uff08\u4ee5\u5ea6\u4e3a\u5355\u4f4d\uff09\uff0c\u7136\u540e\u9664\u4ee5 n\u3002<\/li>\n<\/ul>\n<p>\u5728\u6570\u5b66\u4e0a\uff0c\u4e3a\u4e86\u8ba1\u7b97\u6a21\u548c\u53c2\u6570\uff0c\u6211\u4eec\u4f7f\u7528\u4ee5\u4e0b\u4e24\u4e2a\u516c\u5f0f\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"114\" height=\"89\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/racines-des-nombres-complexes.webp\" data-src=\"\" alt=\"\u590d\u6570\u7684\u6839\" class=\"wp-image-11371 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u5176\u4e2d\uff0ck = 0, 1, 2, \u2026, n-1\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u7ed3\u679c\u8868\u793a\u5982\u4e0b\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"84\" height=\"43\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/calculer-la-racine-nieme-dun-nombre-complexe.webp\" data-src=\"\" alt=\"\u8ba1\u7b97\u590d\u6570\u7684 n \u6b21\u65b9\u6839\" class=\"wp-image-11347 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u9700\u8981\u660e\u786e\u7684\u662f\uff0c\u6211\u4eec\u901a\u8fc7\u6c42\u89e3\u8fd9\u4e2a\u6839\u83b7\u5f97\u7684 n \u4e2a\u89e3\u5c06\u7531\u76f8\u540c\u7684\u6a21\u5757\u548c n \u4e2a\u4e0d\u540c\u7684\u53c2\u6570\u5f62\u6210\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Ejemplos_del_calculo_de_raices_enesimas_de_complejos\">\u8ba1\u7b97\u590d\u6570\u7684 n \u6b21\u65b9\u6839\u7684\u793a\u4f8b<\/span><\/h2>\n<p>\u73b0\u5728\u6211\u4eec\u5c06\u770b\u5230\u4e00\u4e9b\u8ba1\u7b97\u590d\u6570\u7684 n \u6b21\u65b9\u6839\u7684\u793a\u4f8b\u3002\u6211\u4eec\u5efa\u8bae\u60a8\u5c1d\u8bd5\u81ea\u884c\u89e3\u51b3\u8fd9\u4e9b\u95ee\u9898\uff0c\u5b8c\u6210\u540e\u67e5\u770b\u4fee\u590d\u7ed3\u679c\u3002\u4e0d\u8981\u5fd8\u8bb0\u4e0a\u9762\u5df2\u7ecf\u89e3\u91ca\u4e86\u8be5\u65b9\u6cd5\u3002<\/p>\n<p><strong>\u6c42\u590d\u6570\u7684\u4e09\u6b21\u65b9\u6839\uff1a1 + <strong>i<\/strong> \u221a3<\/strong> \u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"89\" height=\"55\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-de-racines-complexes.webp\" data-src=\"\" alt=\"\u590d\u6742\u6839\u7ec3\u4e60\" class=\"wp-image-11349 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"su-expand su-expand-collapsed su-expand-link-style-button\" data-height=\"0\">\n<div class=\"su-expand-content su-u-trim\" style=\"color:#333333;max-height:0px;overflow:hidden\">\n<p><strong>\u8bf7\u6ce8\u610f\uff1a<\/strong>\u6211\u4eec\u5c06\u4f7f\u7528\u5f27\u5ea6\u800c\u4e0d\u662f\u5ea6\u6570\u6765\u89e3\u51b3\u6b64\u7ec3\u4e60\u3002<\/p>\n<p>\u6211\u4eec\u53ef\u4ee5\u770b\u5230\uff0c\u6570\u5b57\u662f\u7528\u4e8c\u9879\u5f0f\u5f62\u5f0f\u8868\u793a\u7684\uff0c\u6240\u4ee5\u7b2c\u4e00\u6b65\u5e94\u8be5\u662f\u7528\u6781\u5750\u6807\u5f62\u5f0f\u6765\u8868\u793a\u3002\u5982\u679c\u60a8\u4e0d\u77e5\u9053\u5982\u4f55\u6267\u884c\u6b64\u64cd\u4f5c\uff0c\u6211\u4eec\u5efa\u8bae\u60a8\u9605\u8bfb\u6709\u5173<a href=\"https:\/\/mathority.org\/cn\/\u590d\u6570\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u590d\u6570\u7684<\/a>\u6587\u7ae0\uff0c\u6211\u4eec\u5728\u5176\u4e2d\u8be6\u7ec6\u8ba8\u8bba\u4e86\u8be5\u4e3b\u9898\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"209\" height=\"116\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/racine-dun-nombre-polaire.webp\" data-src=\"\" alt=\"\u6781\u6570\u7684\u6839\" class=\"wp-image-11329 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u4e00\u65e6\u6211\u4eec\u5f97\u5230\u4e86\u6781\u5750\u6807\u5f62\u5f0f\u7684\u6570\u5b57\uff0c\u53ea\u9700\u4f7f\u7528\u4e4b\u524d\u7684\u516c\u5f0f\u6765\u8ba1\u7b97\u65b0\u6a21\u5757\u548c\u4e0d\u540c\u7684\u53c2\u6570\u5373\u53ef\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"303\" height=\"175\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-calcul-des-racines-dun-nombre-complexe.webp\" data-src=\"\" alt=\"\u8ba1\u7b97\u590d\u6570\u7684\u6839\u7684\u793a\u4f8b\" class=\"wp-image-11330 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u4ee5\u6781\u5750\u6807\u5f62\u5f0f\u8868\u8fbe\u5b83\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"94\" height=\"143\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/racine-dun-exercice-sur-les-nombres-complexes.webp\" data-src=\"\" alt=\"\u590d\u6570\u7ec3\u4e60\u7684\u6839\" class=\"wp-image-11331 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u53e6\u5916\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u5176\u5199\u6210\u4e09\u89d2\u51fd\u6570\u548c\u4e8c\u9879\u5f0f\u7684\u5f62\u5f0f\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"308\" height=\"332\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/racines-complexes.webp\" data-src=\"\" alt=\"\u590d\u6742\u7684\u6839\" class=\"wp-image-11332 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u5728\u590d\u5e73\u9762\u4e0a\u8868\u793a\u5b83\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-medium\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"472\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/representation-graphique-racines-complexes.webp\" data-src=\"\" alt=\"\u56fe\u5f62\u8868\u793a \u590d\u6839\" class=\"wp-image-11353 lazyload\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2023\/02\/Representacion-grafica-Raices-complejas-500x472.png 500w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2023\/02\/Representacion-grafica-Raices-complejas.png 619w\" sizes=\"auto, \" srcset=\"\"><\/figure>\n<\/div>\n<\/div>\n<div class=\"su-expand-link su-expand-link-more\" style=\"text-align:center\">\u663e\u793a\u89e3\u51b3\u65b9\u6848<\/div>\n<div class=\"su-expand-link su-expand-link-less\" style=\"text-align:center\">\u663e\u793a\u8f83\u5c11<\/div>\n<\/div>\n<p><strong>\u6c42\u590d\u6570\u7684\u56db\u6b21\u65b9\u6839\uff1a3+i <strong>\u221a<\/strong> 3<\/strong> \u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"87\" height=\"47\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-racines-complexes.webp\" data-src=\"\" alt=\"\u590d\u6570\u6839\u7684\u4f8b\u5b50\" class=\"wp-image-11350 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"su-expand su-expand-collapsed su-expand-link-style-button\" data-height=\"0\">\n<div class=\"su-expand-content su-u-trim\" style=\"color:#333333;max-height:0px;overflow:hidden\">\n<p><strong>\u8bf7\u6ce8\u610f\uff1a<\/strong>\u6211\u4eec\u4f7f\u7528\u5f27\u5ea6\u800c\u4e0d\u662f\u5ea6\u6570\u6765\u89e3\u51b3\u6b64\u7ec3\u4e60\u3002<\/p>\n<p>\u548c\u4ee5\u524d\u4e00\u6837\uff0c\u6211\u4eec\u9996\u5148\u5c06\u4e8c\u9879\u5f0f\u5f62\u5f0f\u8f6c\u6362\u4e3a\u6781\u5750\u6807\u5f62\u5f0f\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"212\" height=\"115\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/binome-a-polaire.webp\" data-src=\"\" alt=\"\u4e8c\u9879\u5f0f\u5230\u6781\u5750\u6807\" class=\"wp-image-11342 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u7136\u540e\u6211\u4eec\u5e94\u7528\u516c\u5f0f\u6765\u8ba1\u7b97\u65b0\u7684\u6a21\u6570\u548c\u53c2\u6570\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"302\" height=\"232\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/calcul-des-racines-complexes.webp\" data-src=\"\" alt=\"\u590d\u6570\u6839\u7684\u8ba1\u7b97\" class=\"wp-image-11343 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6211\u4eec\u4ee5\u6781\u5750\u6807\u5f62\u5f0f\u8868\u793a\u7ed3\u679c\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"101\" height=\"199\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/racines-des-nombres-complexes-sous-forme-polaire.webp\" data-src=\"\" alt=\"\u6781\u5750\u6807\u5f62\u5f0f\u7684\u590d\u6570\u6839\" class=\"wp-image-11344 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u7136\u540e\u6211\u4eec\u5c06\u7ed3\u679c\u8868\u793a\u4e3a\u4e09\u89d2\u51fd\u6570\u548c\u4e8c\u9879\u5f0f\u5f62\u5f0f\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"335\" height=\"458\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/racines-de-nombres-complexes-sous-forme-binomiale.webp\" data-src=\"\" alt=\"\u4e8c\u9879\u5f0f\u5f62\u5f0f\u7684\u590d\u6570\u6839\" class=\"wp-image-11345 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u5728\u590d\u5e73\u9762\u4e0a\u7ed8\u5236\u89e3\u51b3\u65b9\u6848\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-medium\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"474\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/tracer-des-racines-complexes.webp\" data-src=\"\" alt=\"\u7ed8\u5236\u590d\u6742\u7684\u6839\" class=\"wp-image-11356 lazyload\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2023\/02\/Graficar-raices-complejas-500x474.png 500w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2023\/02\/Graficar-raices-complejas.png 613w\" sizes=\"auto, \" srcset=\"\"><\/figure>\n<\/div>\n<\/div>\n<div class=\"su-expand-link su-expand-link-more\" style=\"text-align:center\">\u663e\u793a\u89e3\u51b3\u65b9\u6848<\/div>\n<div class=\"su-expand-link su-expand-link-less\" style=\"text-align:center\">\u663e\u793a\u8f83\u5c11<\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span id=\"Mas_sobre_raices_de_numeros_complejos\">\u4e86\u89e3\u590d\u6570\u7684\u6839<\/span><\/h2>\n<ul>\n<li><a href=\"https:\/\/mathority.org\/cn\/\u590d\u6570\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u590d\u6570<\/a><\/li>\n<li><a href=\"https:\/\/mathority.org\/cn\" target=\"_blank\" rel=\"noreferrer noopener\">\u590d\u6570\u8fd0\u7b97<\/a><\/li>\n<li><a href=\"https:\/\/mathority.org\/cn\/\u590d\u6570\u7684\u5e42\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u590d\u6742\u7684\u6743\u529b<\/a><\/li>\n<li><a 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