{"id":349,"date":"2023-07-04T17:33:01","date_gmt":"2023-07-04T17:33:01","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%bc%a6%e5%87%bd%e6%95%b0\/"},"modified":"2023-07-04T17:33:01","modified_gmt":"2023-07-04T17:33:01","slug":"%e6%ad%a3%e5%bc%a6%e5%87%bd%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%bc%a6%e5%87%bd%e6%95%b0\/","title":{"rendered":"\u6b63\u5f26\u51fd\u6570"},"content":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u627e\u5230\u6709\u5173\u6b63\u5f26\u51fd\u6570\u7684\u6240\u6709\u5185\u5bb9\uff1a\u5b83\u662f\u4ec0\u4e48\u3001\u5b83\u7684\u516c\u5f0f\u662f\u4ec0\u4e48\u3001\u5982\u4f55\u5728\u56fe\u5f62\u4e2d\u8868\u793a\u5b83\u3001\u6b64\u7c7b\u51fd\u6570\u7684\u7279\u5f81\u3001\u5e45\u5ea6\u3001\u5468\u671f\u7b49\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u6b63\u5f26\u51fd\u6570\u7684\u4e0d\u540c\u793a\u4f8b\uff0c\u4ee5\u5145\u5206\u7406\u89e3\u8be5\u6982\u5ff5\u3002\u4ed6\u751a\u81f3\u89e3\u91ca\u4e86\u6b63\u5f26\u5b9a\u7406\u4ee5\u53ca\u6b63\u5f26\u51fd\u6570\u4e0e\u5176\u4ed6\u4e09\u89d2\u6bd4\u7387\u7684\u5173\u7cfb\u3002 <\/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\/exemples-fonctions-sinus.webp\" alt=\"\u6b63\u5f26\u51fd\u6570\u7684\u793a\u4f8b\" class=\"wp-image-275\" width=\"817\" height=\"350\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-funcion-seno\"><\/span>\u6b63\u5f26\u51fd\u6570\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #FFE0B2 100%); padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px;\">\n<p style=\"text-align:left\">\u89d2\u5ea6\u03b1\u7684<strong>\u6b63\u5f26\u51fd\u6570<\/strong>\u662f\u4e00\u4e2a\u4e09\u89d2\u51fd\u6570\uff0c\u5176\u516c\u5f0f\u5b9a\u4e49\u4e3a\u76f4\u89d2\u4e09\u89d2\u5f62\uff08\u76f4\u89d2\u4e09\u89d2\u5f62\uff09\u7684\u5bf9\u8fb9\u4e0e\u659c\u8fb9\u4e4b\u6bd4\u3002 <\/p>\n<\/div>\n<div class=\"wp-block-columns are-vertically-aligned-center is-layout-flex wp-container-165\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\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\/quelle-est-la-fonction-sinus.webp\" alt=\"\u6b63\u5f26\u51fd\u6570\u7684\u516c\u5f0f\u662f\u4ec0\u4e48\" class=\"wp-image-276\" width=\"275\" height=\"67\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\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\/fonctions-trigonometriques.webp\" alt=\"\u6b63\u5f26\u662f\u4e09\u89d2\u51fd\u6570\" class=\"wp-image-277\" width=\"233\" height=\"159\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<p>\u8fd9\u79cd\u7c7b\u578b\u7684\u6570\u5b66\u51fd\u6570\u901a\u5e38\u7528\u7f29\u5199\u201csin\u201d\u6216\u201csin\u201d\uff08\u6765\u81ea\u62c9\u4e01\u8bed\u201c <em>sinus<\/em> \u201d\uff09\u6765\u4e66\u5199\u3002\u53e6\u5916\uff0c\u5b83\u4e5f\u53ef\u4ee5\u79f0\u4e3a\u6b63\u5f26\u51fd\u6570\u3001\u6b63\u5f26\u51fd\u6570\u6216\u6b63\u5f26\u51fd\u6570\u3002<\/p>\n<p>\u6b63\u5f26\u51fd\u6570\u662f\u6700\u8457\u540d\u7684\u4e09\u89d2\u51fd\u6570\u4e4b\u4e00\uff0c\u53e6\u5916\u8fd8\u6709\u89d2\u5ea6\u7684\u4f59\u5f26\u548c\u6b63\u5207\u51fd\u6570\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"valores-caracteristicos-de-la-funcion-seno\"><\/span>\u6b63\u5f26\u51fd\u6570\u7684\u7279\u5f81\u503c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6709\u4e9b\u89d2\u5ea6\u7ecf\u5e38\u91cd\u590d\uff0c\u56e0\u6b64\u53ef\u4ee5\u65b9\u4fbf\u5730\u77e5\u9053\u8fd9\u4e9b\u89d2\u5ea6\u5904\u7684\u6b63\u5f26\u51fd\u6570\u503c\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-sinus-valeurs-caracteristiques-ou-typiques.webp\" alt=\"\u6b63\u5f26\u51fd\u6570\u7684\u7279\u5f81\u503c\u6216\u5178\u578b\u503c\" class=\"wp-image-278\" width=\"712\" height=\"188\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u56e0\u6b64\uff0c\u6b63\u5f26\u51fd\u6570\u7684\u7b26\u53f7\u53d6\u51b3\u4e8e\u89d2\u5ea6\u6240\u5728\u7684\u8c61\u9650\uff1a\u5982\u679c\u89d2\u5ea6\u4f4d\u4e8e\u7b2c\u4e00\u6216\u7b2c\u4e8c\u8c61\u9650\uff0c\u5219\u6b63\u5f26\u503c\u4e3a\u6b63\uff0c\u53cd\u4e4b\uff0c\u5982\u679c\u89d2\u5ea6\u843d\u5728\u7b2c\u4e09\u6216\u7b2c\u56db\u8c61\u9650\uff0c\u6b63\u5f26\u5c06\u4e3a\u8d1f\u3002 <\/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\/signe-de-la-fonction-sinus.webp\" alt=\"\u6b63\u5f26\u8c61\u9650\u51fd\u6570\u7684\u7b26\u53f7\" class=\"wp-image-279\" width=\"289\" height=\"284\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"representacion-grafica-de-la-funcion-seno\"><\/span>\u6b63\u5f26\u51fd\u6570\u7684\u56fe\u5f62\u8868\u793a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5229\u7528\u6211\u4eec\u5728\u4e0a\u4e00\u8282\u4e2d\u770b\u5230\u7684\u503c\u8868\uff0c\u6211\u4eec\u53ef\u4ee5\u7ed8\u5236\u6b63\u5f26\u51fd\u6570\u7684\u56fe\u5f62\u3002\u56e0\u6b64\uff0c\u5f53\u6211\u4eec\u7ed8\u5236\u6b63\u5f26\u51fd\u6570\u7684\u56fe\u50cf\u65f6\uff0c\u6211\u4eec\u5f97\u5230\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-sinus.webp\" alt=\"\u6b63\u5f26\u51fd\u6570\u56fe\u5f62\u7684\u793a\u4f8b\" class=\"wp-image-280\" width=\"866\" height=\"243\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u4ece\u56fe\u4e2d\u53ef\u4ee5\u770b\u51fa\uff0c\u6b63\u5f26\u51fd\u6570\u56fe\u50cf\u7684\u503c\u603b\u662f\u5728+1\u548c-1\u4e4b\u95f4\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u5b83\u7684\u9876\u90e8\u4ee5+1\u4e3a\u754c\uff0c\u5e95\u90e8\u4ee5-1\u4e3a\u754c\u3002\u6b64\u5916\uff0c\u8fd9\u4e9b\u503c\u6bcf 360 \u5ea6\uff082\u03c0 \u5f27\u5ea6\uff09\u91cd\u590d\u4e00\u6b21\uff0c\u56e0\u6b64\u5b83\u662f\u4e00\u4e2a\u5468\u671f\u4e3a 360\u00b0<strong>\u7684\u5468\u671f\u51fd\u6570<\/strong>\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u5728\u8fd9\u5f20\u56fe\u4e2d\uff0c\u6211\u4eec\u5b8c\u5168\u610f\u8bc6\u5230\u6b63\u5f26\u51fd\u6570\u662f\u5947\u6570\uff0c\u56e0\u4e3a\u5b83\u7684\u76f8\u53cd\u5143\u7d20\u5177\u6709\u76f8\u53cd\u7684\u56fe\u50cf\uff0c\u6216\u8005\u6362\u53e5\u8bdd\u8bf4\uff0c\u5b83\u76f8\u5bf9\u4e8e\u539f\u70b9\uff080,0\uff09\u5bf9\u79f0\u3002\u4f8b\u5982\uff0c90\u00b0 \u7684\u6b63\u5f26\u503c\u4e3a 1\uff0c-90\u00b0 \u7684\u6b63\u5f26\u503c\u4e3a -1\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-funcion-seno\"><\/span>\u6b63\u5f26\u51fd\u6570\u7684\u6027\u8d28<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b63\u5f26\u51fd\u6570\u5177\u6709\u4ee5\u4e0b\u7279\u70b9\uff1a<\/p>\n<ul>\n<li>\u6b63\u5f26\u51fd\u6570\u7684\u57df\u90fd\u662f\u5b9e\u6570\uff0c\u56e0\u4e3a\u5982\u56fe\u6240\u793a\uff0c\u8be5\u51fd\u6570\u5bf9\u4e8e\u81ea\u53d8\u91cf x \u7684\u4efb\u4f55\u503c\u90fd\u5b58\u5728\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0cd1539b66edeb38040ed80168e1fd9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = \\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"90\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<ul>\n<li>\u6b63\u5f26\u51fd\u6570\u7684\u8def\u5f84\u6216\u8303\u56f4\u662f\u4ece\u8d1f 1 \u5230\u6b63 1\uff08\u5305\u62ec\u4e24\u8005\uff09\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e482af9546623edf3132cf9076a0a2d2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Im } f= [-1,1]\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"109\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u5b83\u662f\u4e00\u4e2a\u5468\u671f\u4e3a 2\u03c0 \u7684\u8fde\u7eed\u5947\u51fd\u6570\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-09bb554f0a0cd742da2b88ccb462a7a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{sen}(-x) =- \\text{sen }x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"140\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u6b64\u7c7b\u4e09\u89d2\u51fd\u6570\u4e0e y \u8f74\uff08Y \u8f74\uff09\u7684\u5355\u4e2a\u4ea4\u70b9\u4f4d\u4e8e\u70b9 (0,0)\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9cf2000c782cfe94be6df5f499cd3e24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(0,0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u76f8\u53cd\uff0c\u5b83\u5b9a\u671f\u5728 pi \u7684\u51e0\u4e2a\u5750\u6807\u5904\u622a\u53d6\u6a2a\u5750\u6807\uff08X \u8f74\uff09\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f3942e1a510da92b1bcb0f382ad7d260_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(k\\pi,0) \\qquad k \\in \\mathbb{Z}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"129\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u6b63\u5f26\u51fd\u6570\u7684\u6700\u5927\u503c\u51fa\u73b0\u5728\u4ee5\u4e0b\u60c5\u51b5\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f392307aaa5e03ea2c712a9abb7a252c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \\cfrac{\\pi}{2} +2k\\pi \\qquad k \\in \\mathbb{Z}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"176\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li>\u76f8\u53cd\uff0c\u6b63\u5f26\u51fd\u6570\u7684\u6700\u5c0f\u503c\u51fa\u73b0\u5728\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0ea009864ff724331645eb20b3de341c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \\cfrac{3\\pi}{2} +2k\\pi \\qquad k \\in \\mathbb{Z}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"185\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li>\u6b63\u5f26\u51fd\u6570\u7684\u5bfc\u6570\u662f\u4f59\u5f26\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ebed38eae61d2b603abde434a67db671_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen } x \\ \\longrightarrow \\ f'(x)= \\text{cos } x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"251\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u6700\u540e\uff0c\u6b63\u5f26\u51fd\u6570\u7684\u79ef\u5206\u662f\u4f59\u5f26\u6539\u53d8\u7b26\u53f7\uff1a <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eab2a22e6314b6bd46a067fd85d5d1bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\int \\text{sen } x \\ dx= -\\text{cos } x + C\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"200\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"periodo-y-amplitud-de-la-funcion-seno\"><\/span>\u6b63\u5f26\u51fd\u6570\u7684\u5468\u671f\u548c\u5e45\u5ea6<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b63\u5982\u6211\u4eec\u5728\u4ed6\u7684\u56fe\u4e2d\u770b\u5230\u7684\uff0c\u6b63\u5f26\u51fd\u6570\u662f\u4e00\u4e2a\u5468\u671f\u51fd\u6570\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u5b83\u7684\u503c\u6839\u636e\u9891\u7387\u91cd\u590d\u3002\u6b64\u5916\uff0c\u5176\u632f\u8361\u7684\u6700\u5927\u503c\u548c\u6700\u5c0f\u503c\u53d6\u51b3\u4e8e\u5176\u632f\u5e45\u3002\u56e0\u6b64\uff0c\u51b3\u5b9a\u6b63\u5f26\u51fd\u6570\u7684\u4e24\u4e2a\u7279\u5f81\u662f\u5176\u5468\u671f\u548c\u5e45\u5ea6\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<ul>\n<li>\u6b63\u5f26\u51fd\u6570\u7684<strong>\u5468\u671f<\/strong>\u662f\u56fe\u5f62\u91cd\u590d\u7684\u4e24\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\uff0c\u7531\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d7fb20df076d5a234a762eddb6296460_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Periodo}=T=\\cfrac{2\\pi}{w}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"141\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li>\u6b63\u5f26\u51fd\u6570\u7684<strong>\u632f\u5e45<\/strong>\u76f8\u5f53\u4e8e\u6b63\u5f26\u9879\u524d\u9762\u7684\u7cfb\u6570\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fa2caa412704d15a278c5d8a0f1773d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Amplitud}=A\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"111\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u4e0b\u9762\u60a8\u53ef\u4ee5\u770b\u5230\u4e00\u5f20\u56fe\u8868\uff0c\u663e\u793a\u4e86\u66f4\u6539\u5468\u671f\u6216\u5e45\u5ea6\u7684\u5f71\u54cd\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\/exemples-fonctions-sinus.webp\" alt=\"\u6b63\u5f26\u51fd\u6570\u7684\u793a\u4f8b\" class=\"wp-image-275\" width=\"817\" height=\"350\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u5728\u7eff\u8272\u6240\u793a\u7684\u51fd\u6570\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u5230\uff0c\u901a\u8fc7\u5c06\u5e45\u5ea6\u52a0\u500d\uff0c\u51fd\u6570\u4ece +2 \u53d8\u4e3a -2\uff0c\u800c\u4e0d\u662f +1 \u53d8\u4e3a -1\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u5728\u7ea2\u8272\u663e\u793a\u7684\u51fd\u6570\u4e2d\uff0c\u60a8\u53ef\u4ee5\u770b\u5230\u5b83\u7684\u901f\u5ea6\u662f\u201c\u89c4\u8303\u201d\u6b63\u5f26\u51fd\u6570\u7684\u4e24\u500d\uff0c\u56e0\u4e3a\u5b83\u7684\u5468\u671f\u5df2\u51cf\u534a\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"teorema-del-seno\"><\/span>\u6b63\u5f26\u5b9a\u7406<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5c3d\u7ba1\u6b63\u5f26\u901a\u5e38\u5e94\u7528\u4e8e\u76f4\u89d2\u4e09\u89d2\u5f62\uff0c\u4f46\u8fd8\u6709\u4e00\u4e2a\u9002\u7528\u4e8e\u4efb\u4f55\u7c7b\u578b\u4e09\u89d2\u5f62\u7684\u5b9a\u7406\uff1a\u6b63\u5f26\u5b9a\u7406\u3002<\/p>\n<p><strong>\u6b63\u5f26\u5b9a\u7406<\/strong>\u5c06\u4efb\u4f55\u4e09\u89d2\u5f62\u7684\u8fb9\u548c\u89d2\u8054\u7cfb\u8d77\u6765\uff0c\u5982\u4e0b\u6240\u793a\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\/theoreme-des-sinus-ou-des-sinus.webp\" alt=\"\u6b63\u5f26\u5b9a\u7406\" class=\"wp-image-281\" width=\"188\" height=\"136\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cd3356b25d3d1943ce263ea501426eda_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{a}{\\text{sen }\\alpha} = \\cfrac{b}{\\text{sen }\\beta} = \\cfrac{c}{\\text{sen }\\gamma}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"176\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"relaciones-de-la-funcion-seno-con-otras-razones-trigonometricas\"><\/span>\u6b63\u5f26\u51fd\u6570\u4e0e\u5176\u4ed6\u4e09\u89d2\u6bd4\u7387\u7684\u5173\u7cfb<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e0b\u9762\u60a8\u5c06\u627e\u5230\u4e09\u89d2\u5b66\u4e2d\u6700\u91cd\u8981\u7684\u4e09\u89d2\u6bd4\u7387\u7684\u6b63\u5f26\u5173\u7cfb\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u4f59\u5f26\u6bd4<\/h3>\n<ul>\n<li>\u4f59\u5f26\u51fd\u6570\u7684\u56fe\u5f62\u4e0e\u6b63\u5f26\u66f2\u7ebf\u7b49\u6548\uff0c\u4f46\u53d1\u751f\u4e86\u504f\u79fb\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-872406b5cba35c728fec57380ddc6571_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\frac{\\pi}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"11\" style=\"vertical-align: -12px;\"><\/p>\n<p>\u5230\u5de6\u8fb9\uff0c\u56e0\u6b64\u8fd9\u4e24\u4e2a\u51fd\u6570\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u8868\u8fbe\u5f0f\u5173\u8054\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a4de64c8bfd1d579b3957acdc4166c45_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{sen }\\alpha = \\text{cos}\\left(\\alpha - \\frac{\\pi}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"159\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li>\u60a8\u8fd8\u53ef\u4ee5\u5c06\u6b63\u5f26\u548c\u4f59\u5f26\u4e0e\u4e09\u89d2\u51fd\u6570\u57fa\u672c\u6052\u7b49\u5f0f\u8054\u7cfb\u8d77\u6765\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-205d778d5fa04e4bd4a8543489c6f2f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{sen}^2\\alpha + \\text{cos}^2\\alpha=1\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"140\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\">\u4e0e\u5207\u7ebf\u7684\u5173\u7cfb<\/h3>\n<ul>\n<li>\u867d\u7136\u8bc1\u660e\u8d77\u6765\u5f88\u590d\u6742\uff0c\u4f46\u6b63\u5f26\u53ea\u80fd\u6839\u636e\u6b63\u5207\u6765\u8868\u793a\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ad739fd3a28f43322d65ee9d1619cfa8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{sen }\\alpha = \\pm \\cfrac{\\text{tg }\\alpha }{\\sqrt{1+\\text{tg}^2\\alpha \\vphantom{\\bigl( }}}\" title=\"Rendered by QuickLaTeX.com\" height=\"56\" width=\"165\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\">\u4e0e\u4f59\u5272\u7684\u5173\u7cfb<\/h3>\n<ul>\n<li>\u6b63\u5f26\u548c\u4f59\u5272\u662f\u4e58\u6cd5\u9006\u5143\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-52ede62513bf5761cd6e8398788a42fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{sen }\\alpha = \\cfrac{1}{\\text{csc }\\alpha}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"109\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\">\u4e0e\u5272\u7ebf\u7684\u5173\u7cfb<\/h3>\n<ul>\n<li>\u53ef\u4ee5\u64e6\u9664\u6b63\u5f26\uff0c\u4f7f\u5176\u4ec5\u53d6\u51b3\u4e8e\u6b63\u5272\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a43bce8c4552ec21718cd949ece440c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{sen }\\alpha =  \\cfrac{\\sqrt{\\text{sec }\\alpha -1 } }{\\text{sec }\\alpha}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"154\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\">\u4e0e\u4f59\u5207\u7684\u5173\u7cfb<\/h3>\n<ul>\n<li>\u89d2\u5ea6\u7684\u6b63\u5f26\u548c\u4f59\u5207\u4e4b\u95f4\u7684\u5173\u7cfb\u5982\u4e0b\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0530f7365e0416c30447cd93f74bf7bf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{sen }\\alpha = \\cfrac{1}{\\sqrt{1+\\text{cot}^2\\alpha \\vphantom{\\bigl( }}}\" title=\"Rendered by QuickLaTeX.com\" height=\"56\" width=\"159\" style=\"vertical-align: -30px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u627e\u5230\u6709\u5173\u6b63\u5f26\u51fd\u6570\u7684\u6240\u6709\u5185\u5bb9\uff1a\u5b83\u662f\u4ec0\u4e48\u3001\u5b83\u7684\u516c\u5f0f\u662f\u4ec0\u4e48\u3001\u5982\u4f55\u5728\u56fe\u5f62\u4e2d\u8868\u793a\u5b83\u3001\u6b64\u7c7b\u51fd\u6570\u7684\u7279\u5f81\u3001\u5e45\u5ea6 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%bc%a6%e5%87%bd%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u6b63\u5f26\u51fd\u6570<\/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-349","post","type-post","status-publish","format-standard","hentry","category-17"],"yoast_head":"<!-- This site is optimized 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