{"id":352,"date":"2023-07-04T14:44:12","date_gmt":"2023-07-04T14:44:12","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e4%bb%bb%e6%9c%9f%e7%9a%84%e5%91%a8%e6%9c%9f\/"},"modified":"2023-07-04T14:44:12","modified_gmt":"2023-07-04T14:44:12","slug":"%e4%bb%bb%e6%9c%9f%e7%9a%84%e5%91%a8%e6%9c%9f","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e4%bb%bb%e6%9c%9f%e7%9a%84%e5%91%a8%e6%9c%9f\/","title":{"rendered":"\u51fd\u6570\u7684\u5468\u671f\u6027\uff08\u5468\u671f\uff09"},"content":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u89e3\u91ca\u4ec0\u4e48\u662f\u51fd\u6570\u7684\u5468\u671f\u6027\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u5c06\u770b\u5230\u51e0\u4e2a\u5468\u671f\u51fd\u6570\u7684\u793a\u4f8b\u3002\u6700\u540e\uff0c\u6211\u4eec\u5c06\u5206\u6790\u4e09\u89d2\u51fd\u6570\u7684\u5468\u671f\uff0c\u56e0\u4e3a\u5b83\u662f\u4e09\u89d2\u51fd\u6570\u6700\u91cd\u8981\u7684\u7279\u5f81\u4e4b\u4e00\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-periodicidad-de-una-funcion\"><\/span>\u4ec0\u4e48\u662f\u51fd\u6570\u7684\u5468\u671f\u6027\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u51fd\u6570\u7684\u5468\u671f\u6027\u662f\u51fd\u6570\u5468\u671f\u6027\u5730\u91cd\u590d\u5176\u503c\u7684\u7279\u5f81\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u5982\u679c\u4e00\u4e2a\u51fd\u6570\u7684\u56fe\u5f62\u6bcf\u9694\u4e00\u5b9a\u7684\u65f6\u95f4\u95f4\u9694\u91cd\u590d\u4e00\u6b21\uff0c\u90a3\u4e48\u8be5\u51fd\u6570\u5c31\u662f\u5468\u671f\u6027\u7684\u3002\u8fd9\u4e2a\u95f4\u9694\u79f0\u4e3a\u5468\u671f\u3002<\/strong> <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/periodicite-dune-fonction.webp\" alt=\"\u51fd\u6570\u7684\u5468\u671f\u6027\" class=\"wp-image-328\" width=\"348\" height=\"249\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6570\u5b66\u4e0a\uff0c\u5982\u679c\u51fd\u6570\u4ec5\u6ee1\u8db3\uff0c\u5219\u5b9a\u4e49\u4e3a\u5468\u671f\u6027\u51fd\u6570<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a459750e9149a1753a7173d6e0761e95_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=f(x+T)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"126\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u5bf9\u4e8e\u81ea\u53d8\u91cf x \u7684\u4efb\u610f\u503c\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-762d2702efece63b455dc96e3ca7366c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=f(x+T)=f(x+2T)=f(x+3T)=\\ldots=f(x+kT)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"476\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5176\u4e2d<em>T<\/em>\u662f\u5468\u671f\u51fd\u6570 i <em>k<\/em>\u7684\u6574\u6570\u5468\u671f\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-periodicidades-de-funciones\"><\/span>\u51fd\u6570\u5468\u671f\u6027\u7684\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e00\u65e6\u6211\u4eec\u4e86\u89e3\u4e86\u51fd\u6570\u5468\u671f\u6027\u7684\u6982\u5ff5\uff0c\u6211\u4eec\u5c31\u4f1a\u770b\u5230\u51e0\u4e2a\u5982\u4f55\u8ba1\u7b97\u51fd\u6570\u5468\u671f\u6027\u7684\u793a\u4f8b\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u5b9e\u65bd\u4f8b1<\/h3>\n<p>\u5224\u65ad\u4e0b\u5217\u51fd\u6570\u662f\u5426\u662f\u5468\u671f\u51fd\u6570\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-fonction-periodique.webp\" alt=\"\u5468\u671f\u51fd\u6570\u793a\u4f8b\" class=\"wp-image-331\" width=\"636\" height=\"234\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u8fd9\u4e2a\u5206\u6bb5\u5b9a\u4e49\u7684\u51fd\u6570\u662f\u5468\u671f\u51fd\u6570\uff0c\u56e0\u4e3a\u5176\u56fe\u7684\u503c\u5faa\u73af\u91cd\u590d\u3002\u66f4\u51c6\u786e\u5730\u8bf4\uff0c\u8be5\u51fd\u6570\u6bcf 6 \u4e2a x \u53d6\u76f8\u540c\u7684\u503c\uff0c\u56e0\u6b64\u8be5\u51fd\u6570\u7684\u5468\u671f\u7b49\u4e8e 6\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-73bf76dfe01364f5d6e7696a532ce649_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"T=6\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"45\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\">\u5b9e\u65bd\u4f8b2<\/h3>\n<p>\u6c42\u4ee5\u4e0b\u51fd\u6570\u7684\u5468\u671f\u6027\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonction-graphique-cosinus.webp\" alt=\"\" class=\"wp-image-293\" width=\"742\" height=\"207\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u8be5\u51fd\u6570\u5bf9\u5e94\u4e8e\u4e09\u89d2\u51fd\u6570\u7684\u56fe\u5f62\u8868\u793a\uff0c\u66f4\u51c6\u786e\u5730\u8bf4\u662f\u4f59\u5f26\u51fd\u6570\u3002<\/p>\n<p>\u4ece\u56fe\u4e2d\u6211\u4eec\u53ef\u4ee5\u770b\u51fa\uff0c\u8be5\u51fd\u6570\u5468\u671f\u6027\u5730\u91cd\u590d\u5176\u503c\uff0c\u56e0\u6b64\u5b83\u662f\u4e00\u4e2a\u5468\u671f\u51fd\u6570\u3002\u6b64\u5916\uff0c\u6ce2\u5cf0\u4e0e\u6ce2\u5cf0\u4e4b\u95f4\u6709 2\u03c0\uff08\u6216 360\u00b0\uff09\u7684\u95f4\u9694\uff0c\u56e0\u6b64\u8fd9\u5c31\u662f\u51fd\u6570\u7684\u5468\u671f\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e276a686cc8bb006030ce506a388e708_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"T=2\\pi\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"periodicidad-de-funciones-trigonometricas\"><\/span>\u4e09\u89d2\u51fd\u6570\u7684\u5468\u671f\u6027<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5468\u671f\u6027\u4e0e\u4e09\u89d2\u51fd\u6570\u5bc6\u5207\u76f8\u5173\uff0c\u4e8b\u5b9e\u4e0a\uff0c\u6b64\u7c7b\u51fd\u6570\u7684\u4e3b\u8981\u7279\u5f81\u4e4b\u4e00\u662f\u5927\u591a\u6570\u4e09\u89d2\u51fd\u6570\u90fd\u662f\u5468\u671f\u6027\u7684\u3002<\/p>\n<p>\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u7814\u7a76 3 \u4e2a\u4e3b\u8981\u4e09\u89d2\u51fd\u6570\u7684\u5468\u671f\u6027\uff1a\u6b63\u5f26\u3001\u4f59\u5f26\u548c\u6b63\u5207\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u6b63\u5f26\u51fd\u6570\u5468\u671f<\/h3>\n<p>\u6b63\u5f26\u51fd\u6570\u7684\u8868\u8fbe\u5f0f\u5982\u4e0b\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3ef34795a3bfccbfb3b0219ab0ddc3b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= A\\text{sen}(wx)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"132\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u4e0d\u9700\u8981\u7ed8\u5236\u51fd\u6570\u56fe\u50cf\u6765\u67e5\u627e\u5176\u5468\u671f\uff0c\u800c\u662f\u53ef\u4ee5\u7b80\u5355\u5730\u901a\u8fc7\u5e94\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8ba1\u7b97\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e76a82833c0a1d358166343d2e82e4d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle T=\\cfrac{2\\pi}{w}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"58\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u6b64\u5916\uff0c\u6b63\u5f26\u51fd\u6570\u8fd8\u6709\u4e00\u4e2a\u7279\u6b8a\u6027\uff1a\u5982\u679c\u6211\u4eec\u6539\u53d8\u5b83\u7684\u5468\u671f\uff0c\u6211\u4eec\u4e5f\u4f1a\u6539\u53d8\u5b83\u7684\u56fe\u5f62\u7684\u5f62\u72b6\u3002\u60a8\u53ef\u4ee5\u5728\u4ee5\u4e0b\u94fe\u63a5\u4e2d\u67e5\u770b\u5468\u671f\u503c\u5982\u4f55\u5f71\u54cd\u5176\u56fe\u5f62\u8868\u793a\uff1a<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u6b63\u5f26\u51fd\u6570\/\">\u6b63\u5f26\u51fd\u6570\u56fe<\/a><\/span><\/p>\n<h3 class=\"wp-block-heading\">\u4f59\u5f26\u51fd\u6570\u7684\u5468\u671f<\/h3>\n<p>\u4f59\u5f26\u51fd\u6570\u7684\u4ee3\u6570\u8868\u8fbe\u5f0f\u5982\u4e0b\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5d7700fc10f642ba455e6ed144d6d920_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= A\\text{cos}(wx)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"131\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4e0e\u6b63\u5f26\u4e00\u6837\uff0c\u4f59\u5f26\u51fd\u6570\u7684\u5468\u671f\u53ef\u4ee5\u76f4\u63a5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u6c42\u5f97\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e76a82833c0a1d358166343d2e82e4d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle T=\\cfrac{2\\pi}{w}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"58\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u4f59\u5f26\u5468\u671f\u7684\u503c\u5b8c\u5168\u51b3\u5b9a\u4e86\u5b83\u7684\u56fe\u5f62\uff0c\u8bf7\u70b9\u51fb\u4ee5\u4e0b\u94fe\u63a5\u5e76\u627e\u51fa\u539f\u56e0\uff1a<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u6b63\u5f26\u51fd\u6570\/\">\u4f59\u5f26\u51fd\u6570\u56fe<\/a><\/span><\/p>\n<h3 class=\"wp-block-heading\">\u6b63\u5207\u51fd\u6570\u7684\u5468\u671f<\/h3>\n<p>\u6b63\u5207\u51fd\u6570\u7528\u6570\u5b66\u65b9\u5f0f\u63cf\u8ff0\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e5e2cc1f194f1a7fee12fa1156ad3fa6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\text{tg}(wx)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"110\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6b63\u5207\u51fd\u6570\u5468\u671f\u7684\u8ba1\u7b97\u516c\u5f0f\u4e0e\u6b63\u5f26\u548c\u4f59\u5f26\u76f8\u540c\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e76a82833c0a1d358166343d2e82e4d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle T=\\cfrac{2\\pi}{w}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"58\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u7136\u800c\uff0c\u6b63\u5207\u51fd\u6570\u56fe\u4e0e\u6b63\u5f26\u548c\u4f59\u5f26\u4e0d\u540c\uff0c\u56e0\u4e3a\u5b83\u4e5f\u6709\u5468\u671f\u6027\u91cd\u590d\u7684\u6e10\u8fd1\u7ebf\u3002\u60a8\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u94fe\u63a5\u67e5\u770b\u6b64\u4e09\u89d2\u51fd\u6570\u7684\u6b64\u529f\u80fd\u548c\u5176\u4ed6\u529f\u80fd\uff1a<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u6b63\u5207\u51fd\u6570\/\">\u6b63\u5207\u51fd\u6570\u7684\u56fe\u5f62<\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u89e3\u91ca\u4ec0\u4e48\u662f\u51fd\u6570\u7684\u5468\u671f\u6027\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u5c06\u770b\u5230\u51e0\u4e2a\u5468\u671f\u51fd\u6570\u7684\u793a\u4f8b\u3002\u6700\u540e\uff0c\u6211\u4eec\u5c06\u5206\u6790\u4e09\u89d2\u51fd\u6570\u7684\u5468\u671f\uff0c\u56e0\u4e3a &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e4%bb%bb%e6%9c%9f%e7%9a%84%e5%91%a8%e6%9c%9f\/\"> <span class=\"screen-reader-text\">\u51fd\u6570\u7684\u5468\u671f\u6027\uff08\u5468\u671f\uff09<\/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":[17],"tags":[],"class_list":["post-352","post","type-post","status-publish","format-standard","hentry","category-17"],"yoast_head":"<!-- This site is optimized 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