{"id":180,"date":"2023-07-15T12:37:30","date_gmt":"2023-07-15T12:37:30","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e5%a4%8d%e6%95%b0%e7%9a%84%e5%b9%82\/"},"modified":"2023-07-15T12:37:30","modified_gmt":"2023-07-15T12:37:30","slug":"%e5%a4%8d%e6%95%b0%e7%9a%84%e5%b9%82","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e5%a4%8d%e6%95%b0%e7%9a%84%e5%b9%82\/","title":{"rendered":"\u590d\u6570\u7684\u5e42"},"content":{"rendered":"<p>\u5982\u679c\u60a8\u77e5\u9053\u6b63\u786e\u7684\u65b9\u6cd5\uff0c\u90a3\u4e48\u6c42\u89e3<strong>\u590d\u6570\u7684\u5e42<\/strong>\u662f\u4e00\u4ef6\u76f8\u5f53\u5bb9\u6613\u7684\u4e8b\u60c5\u3002\u56e0\u6b64\uff0c\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u5c06\u89e3\u91ca\u5982\u4f55\u4ee5\u4e09\u79cd\u65b9\u5f0f\u6c42\u89e3\u590d\u6570\u5e42\uff1a\u4e8c\u9879\u5f0f\u5f62\u5f0f\u3001\u6781\u5750\u6807\u5f62\u5f0f\u548c\u4e09\u89d2\u5f62\u5f0f\u7684\u590d\u6570\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Como_se_resuelve_la_potencia_de_un_numero_complejo\">\u5982\u4f55\u6c42\u89e3\u590d\u6570\u7684\u5e42\uff1f<\/span><\/h2>\n<p>\u6b63\u5982\u6211\u4eec\u5728\u7b80\u4ecb\u4e2d\u6240\u8bf4\uff0c\u4f7f\u7528\u590d\u6742\u7684\u6743\u529b\u8fdb\u884c\u64cd\u4f5c\u65f6\u53ef\u80fd\u4f1a\u51fa\u73b0\u4e09\u79cd\u60c5\u51b5\u3002\u7b2c\u4e00\u4e2a\u4e5f\u662f\u6700\u7b80\u5355\u7684\u60c5\u51b5\u662f\u5f53\u6211\u4eec\u5f97\u5230<strong>\u6781\u5750\u6807\u5f62\u5f0f\u7684\u6570\u5b57<\/strong>\u65f6\u3002\u7b2c\u4e8c\u4e2a\u662f\u5f53\u6211\u4eec\u4ee5\u4e8c\u9879\u5f0f\u5f62\u5f0f\u7ed9\u51fa\u6570\u5b57\u65f6\uff0c\u7b2c\u4e09\u4e2a\u662f\u5f53\u6211\u4eec\u4ee5\u4e09\u89d2\u51fd\u6570\u5f62\u5f0f\u7ed9\u51fa\u6570\u5b57\u65f6\u3002<\/p>\n<p>\u6362\u53e5\u8bdd\u8bf4\uff0c\u5f53\u4f7f\u7528\u6781\u6027\u5f62\u5f0f\u7684\u590d\u5408\u7269\u8fdb\u884c\u64cd\u4f5c\u65f6\uff0c\u53ef\u4ee5\u66f4\u5feb\u5730\u89e3\u51b3\u7ec3\u4e60\u3002\u56e0\u6b64\uff0c\u5efa\u8bae\u5c06\u76f8\u5173\u6570\u5b57\u8f6c\u6362\u4e3a\u6781\u5750\u6807\u5f62\u5f0f\u3002\u4f46\u5176\u5b9e\uff0c\u4e00\u5207\u65b9\u6cd5\u90fd\u5f88<strong>\u5bb9\u6613\u89e3\u51b3<\/strong>\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u6211\u4eec\u5c06\u5411\u60a8\u89e3\u91ca\u6240\u6709\u6848\u4f8b\u7684\u89e3\u51b3\u65b9\u5f0f\uff0c\u5e76\u4e3a\u60a8\u63d0\u4f9b\u7ec3\u4e60\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Potencias_de_numeros_complejos_en_forma_polar\">\u6781\u5750\u6807\u5f62\u5f0f\u7684\u590d\u6570\u5e42<\/span><\/h2>\n<p>\u5f53\u6211\u4eec\u60f3\u8981\u6c42\u89e3<strong>\u6781\u5750\u6807\u5f62\u5f0f\u7684\u590d\u6570\u5e42<\/strong>\u65f6\uff0c\u6211\u4eec\u53ea\u9700\u5c06\u6a21\u6570\u63d0\u9ad8\u5230\u4efb\u610f\u5e76\u5c06\u53c2\u6570\u4e58\u4ee5 n \u5373\u53ef\u3002\u7528\u6570\u5b66\u8868\u8fbe\uff0c\u6211\u4eec\u5f97\u5230\u4ee5\u4e0b\u516c\u5f0f\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"184\" height=\"27\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/calculer-les-puissances-des-nombres-complexes.webp\" data-src=\"\" alt=\"\u8ba1\u7b97\u590d\u6570\u7684\u5e42\" class=\"wp-image-11376 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u4ee5\u4e0b\u662f\u4e00\u4e9b\u793a\u4f8b\uff0c\u60a8\u53ef\u4ee5\u5c1d\u8bd5\u81ea\u5df1\u89e3\u51b3\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"73\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercices-sur-les-puissances-des-nombres-complexes.webp\" data-src=\"\" alt=\"\u590d\u6570\u5e42\u7ec3\u4e60\" class=\"wp-image-11377 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>\u8fc7\u7a0b\u975e\u5e38\u7b80\u5355\uff0c\u56e0\u4e3a\u60a8\u53ea\u9700\u5e94\u7528\u6211\u4eec\u4e0a\u9762\u6ce8\u91ca\u7684\u516c\u5f0f\uff0c\u7ed3\u679c\u5c31\u5df2\u7ecf\u51fa\u6765\u4e86\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"258\" height=\"149\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/pouvoirs-complexes.webp\" data-src=\"\" alt=\"\u590d\u6742\u7684\u6743\u529b\" class=\"wp-image-11378 lazyload\" srcset=\"\" sizes=\"auto, \"><\/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=\"Potencias_de_numeros_complejos_en_forma_binomica\">\u4e8c\u9879\u5f0f\u5f62\u5f0f\u7684\u590d\u6570\u5e42<\/span><\/h2>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u5f53\u6211\u4eec\u60f3\u8981\u6c42\u89e3<strong>\u4e8c\u9879\u5f0f\u5f62\u5f0f\u7684\u590d\u5e42<\/strong>\u65f6\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4e24\u79cd\u4e0d\u540c\u7684\u65b9\u6cd5\u3002\u7b2c\u4e00\u4e2a\u6d89\u53ca\u4ee5\u201c\u4ee3\u6570\u201d\u65b9\u5f0f\u6c42\u89e3\u5e42\uff08\u5c31\u50cf i \u662f\u4e00\u4e2a\u53d8\u91cf\u4e00\u6837\u6c42\u89e3\uff09\u3002\u7b2c\u4e8c\u4e2a\u7cfb\u7edf\u662f\u5c06\u4e8c\u9879\u5f0f\u5f62\u5f0f\u8f6c\u6362\u4e3a\u6781\u5750\u6807\u5f62\u5f0f\uff0c\u7136\u540e\u6309\u7167\u524d\u9762\u7684\u8fc7\u7a0b\u8fdb\u884c\u3002<\/p>\n<p>\u5982\u679c\u60a8\u4e0d\u77e5\u9053\u5982\u4f55\u4ece\u4e8c\u9879\u5f0f\u8f6c\u6362\u4e3a\u6781\u5750\u6807\u5f62\u5f0f\uff0c\u6211\u4eec\u4f1a\u5728\u6709\u5173<a href=\"https:\/\/mathority.org\/cn\/\u590d\u6570\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u590d\u6570\u7684<\/a>\u6587\u7ae0\u4e2d\u5411\u60a8\u975e\u5e38\u6e05\u695a\u5730\u89e3\u91ca\u3002\u4e0d\u8fc7\uff0c\u73b0\u5728\u6211\u4eec\u5c06\u901a\u8fc7\u4e00\u4e2a\u793a\u4f8b\u5feb\u901f\u4e86\u89e3\u5b83\u3002<\/p>\n<p><strong>\u5c1d\u8bd5\u6c42\u89e3\u4ee5\u4e0b\u590d\u6570\u5e42\uff1a (2 + 3i) <sup>2<\/sup> \u3002<\/strong> <\/p>\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>\u9996\u5148\uff0c\u6211\u4eec\u770b\u770b\u8fd9\u4e2a\u8fd0\u7b97\u662f\u5982\u4f55\u7528\u201c\u4ee3\u6570\u6cd5\u201d\u6c42\u89e3\u7684\u3002<\/p>\n<p>\u5728\u8fd9\u79cd\u7279\u5b9a\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u53ef\u4ee5\u5e94\u7528\u4e00\u4e2a<a href=\"https:\/\/mathority.org\/cn\/\u5353\u8d8a\u7684\u4ea7\u54c1\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u503c\u5f97\u6ce8\u610f\u7684\u4e58\u79ef<\/a>\uff1a(a + b) <sup>2<\/sup> = a <sup>2<\/sup> + 2ab + b <sup>2<\/sup> \u3002<\/p>\n<p class=\"has-text-align-center\"> <strong>(2 + 3i) <sup>2<\/sup><\/strong> = 2 <sup>2<\/sup> + 2 2 3i + 3i <sup>2<\/sup><\/p>\n<p>\u7136\u540e\u6211\u4eec\u8fdb\u884c\u64cd\u4f5c\u548c\u7b80\u5316\u3002<\/p>\n<p class=\"has-text-align-center\"> = 4 \u2013 9 + 12i = -5 + 12i<\/p>\n<p>\u5176\u6b21\uff0c\u6211\u4eec\u53ef\u4ee5\u91c7\u7528\u7b2c\u4e8c\u79cd\u65b9\u6cd5\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u9996\u5148\u4ee5\u6781\u5750\u6807\u5f62\u5f0f\u8868\u793a\u8be5\u6570\u5b57\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"272\" height=\"89\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/conversion-des-nombres-complexes.webp\" data-src=\"\" alt=\"\u590d\u6570\u7684\u8f6c\u6362\" class=\"wp-image-11393 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u7136\u540e\uff0c\u6211\u4eec\u6309\u7167\u6211\u4eec\u4e00\u5f00\u59cb\u6ce8\u91ca\u7684\u516c\u5f0f\u8fdb\u884c\u64cd\u4f5c\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"286\" height=\"34\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/puissance-complexe.webp\" data-src=\"\" alt=\"\u590d\u6742\u7684\u529b\u91cf\" class=\"wp-image-11394 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6700\u540e\u6211\u4eec\u5f97\u5230\u76f8\u540c\u7684\u7ed3\u679c\uff0c\u53ea\u662f\u4ee5\u6781\u5750\u6807\u5f62\u5f0f\u3002\u5982\u679c\u4f60\u8ba4\u4e3a\u4e0d\u662f\u540c\u4e00\u4e2a\u6570\u5b57\uff0c\u4f60\u53ef\u4ee5\u5c1d\u8bd5\u81ea\u5df1\u6362\u7b97\u4e00\u4e0b\u3002\u5f53\u7136\uff0c\u4f60\u8981\u8bb0\u4f4f\uff0c\u6211\u4eec\u5f97\u5230\u7684\u4e8c\u9879\u5f0f\u7ed3\u679c\u7684\u53c2\u6570<strong>\u5728\u7b2c\u4e8c\u8c61\u9650<\/strong>\u3002\u56e0\u6b64\u6211\u4eec\u5fc5\u987b\u5728\u89d2\u5ea6\u4e0a\u52a0\u4e0a \u03c0\u3002<\/p>\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=\"Potencias_de_numeros_complejos_en_forma_trigonometrica\">\u4e09\u89d2\u5f62\u5f0f\u7684\u590d\u6570\u5e42<\/span><\/h2>\n<p>\u6700\u540e\uff0c\u5f53\u6211\u4eec\u60f3\u8981\u6c42\u89e3<strong>\u4e09\u89d2\u5f62\u5f0f\u7684\u590d\u5e42<\/strong>\u65f6\uff0c\u6211\u4eec\u5fc5\u987b\u4f7f\u7528\u8457\u540d\u7684\u5fb7\u83ab\u5f17\u516c\u5f0f\u3002\u5176\u5199\u6cd5\u5982\u4e0b\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"224\" height=\"66\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/la-formule-de-moivre.webp\" data-src=\"\" alt=\"\u83ab\u6c83\u5c14\u516c\u5f0f\" class=\"wp-image-11380 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u77e5\u9053\u8fd9\u4e2a\u516c\u5f0f\u540e\uff0c\u5c1d\u8bd5\u89e3\u51b3\u4ee5\u4e0b\u7ec3\u4e60\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"213\" height=\"100\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-de-pouvoirs-complexes.webp\" data-src=\"\" alt=\"\u884c\u4f7f\u590d\u6742\u6743\u529b\" class=\"wp-image-11381 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>\u4f60\u6240\u8981\u505a\u7684\u5c31\u662f\u5e94\u7528\u5fb7\u83ab\u5f17\u516c\u5f0f\uff0c\u4f60\u5c31\u53ef\u4ee5\u89e3\u51b3\u6240\u6709\u7684\u7ec3\u4e60\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"369\" height=\"149\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/puissance-des-nombres-complexes-sous-forme-trigonometrique.webp\" data-src=\"\" alt=\"\u4e09\u89d2\u5f62\u5f0f\u7684\u590d\u6570\u5e42\" class=\"wp-image-11382 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u7136\u800c\uff0c\u6700\u540e\u4e00\u79cd\u60c5\u51b5\u6709\u4e9b\u4e0d\u540c\uff0c\u56e0\u4e3a\u5b83\u5177\u6709\u6570\u503c\u89d2\u5ea6\uff0c\u800c\u4e0d\u662f\u53d8\u91cf\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"292\" height=\"150\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/calculer-des-puissances-avec-des-nombres-complexes.webp\" data-src=\"\" alt=\"\u8ba1\u7b97\u590d\u6570\u7684\u5e42\" class=\"wp-image-11383 lazyload\" srcset=\"\" sizes=\"auto, \"><\/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_las_potencias_complejas\">\u4e86\u89e3\u6709\u5173\u590d\u6742\u6743\u529b\u7684\u66f4\u591a\u4fe1\u606f<\/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\/\u590d\u6570\u7684\u6027\u8d28\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u914d\u5408\u7269\u7684\u6027\u8d28<\/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\u6839\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u590d\u6742\u7684\u6839<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u5982\u679c\u60a8\u77e5\u9053\u6b63\u786e\u7684\u65b9\u6cd5\uff0c\u90a3\u4e48\u6c42\u89e3\u590d\u6570\u7684\u5e42\u662f\u4e00\u4ef6\u76f8\u5f53\u5bb9\u6613\u7684\u4e8b\u60c5\u3002\u56e0\u6b64\uff0c\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u5c06\u89e3\u91ca\u5982\u4f55\u4ee5\u4e09\u79cd\u65b9\u5f0f\u6c42\u89e3\u590d\u6570\u5e42 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e5%a4%8d%e6%95%b0%e7%9a%84%e5%b9%82\/\"> <span class=\"screen-reader-text\">\u590d\u6570\u7684\u5e42<\/span> \u67e5\u770b\u5168\u6587 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[9,26],"tags":[],"class_list":["post-180","post","type-post","status-publish","format-standard","hentry","category-9","category-26"],"yoast_head":"<!-- This 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