{"id":351,"date":"2023-07-04T16:06:25","date_gmt":"2023-07-04T16:06:25","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%88%87%e5%87%bd%e6%95%b0\/"},"modified":"2023-07-04T16:06:25","modified_gmt":"2023-07-04T16:06:25","slug":"%e6%ad%a3%e5%88%87%e5%87%bd%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%88%87%e5%87%bd%e6%95%b0\/","title":{"rendered":"\u6b63\u5207\u51fd\u6570"},"content":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u627e\u5230\u6709\u5173\u6b63\u5207\u51fd\u6570\u7684\u6240\u6709\u4fe1\u606f\uff1a\u5b83\u662f\u4ec0\u4e48\u3001\u5b83\u7684\u516c\u5f0f\u662f\u4ec0\u4e48\u3001\u5982\u4f55\u5728\u56fe\u5f62\u4e2d\u8868\u793a\u5b83\u3001\u51fd\u6570\u7684\u7279\u5f81\u3001\u5468\u671f\u7b49\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u6b63\u5207\u51fd\u6570\u7684\u793a\u4f8b\uff0c\u4ee5\u5145\u5206\u7406\u89e3\u8be5\u6982\u5ff5\u3002\u4ed6\u751a\u81f3\u89e3\u91ca\u4e86\u6b63\u5207\u5b9a\u7406\u4ee5\u53ca\u6b63\u5207\u51fd\u6570\u4e0e\u5176\u4ed6\u4e09\u89d2\u5173\u7cfb\u7684\u5173\u7cfb\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-funcion-tangente\"><\/span>\u6b63\u5207\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\u5207\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\u76f8\u90bb\uff08\u6216\u76f8\u90bb\uff09\u5206\u652f\u4e4b\u95f4\u7684\u6bd4\u7387\u3002 <\/p>\n<\/div>\n<div class=\"wp-block-columns are-vertically-aligned-center is-layout-flex wp-container-153\">\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\/formule-de-la-fonction-tangente.webp\" alt=\"\u6b63\u5207\u51fd\u6570\u7684\u516c\u5f0f\u662f\u4ec0\u4e48\uff1f\" class=\"wp-image-299\" width=\"291\" height=\"71\" 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\u5207\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\u4e5f\u79f0\u4e3a\u6b63\u5207\u51fd\u6570\u3001\u6b63\u5207\u51fd\u6570\u6216\u6b63\u5207\u51fd\u6570\u3002\u5b83\u53ef\u4ee5\u7528\u7f29\u5199\u201ctg\u201d\u751a\u81f3\u201ctan\u201d\u6765\u8868\u793a\u3002<\/p>\n<p>\u6b63\u5207\u51fd\u6570\u662f\u4e09\u4e2a\u6700\u8457\u540d\u7684\u4e09\u89d2\u51fd\u6570\u4e4b\u4e00\uff0c\u53e6\u5916\u4e24\u4e2a\u51fd\u6570\u662f\u89d2\u5ea6\u7684\u6b63\u5f26\u548c\u4f59\u5f26\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"valores-caracteristicos-de-la-funcion-tangente\"><\/span>\u6b63\u5207\u51fd\u6570\u7684\u7279\u5f81\u503c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u67d0\u4e9b\u89d2\u5ea6\u7ecf\u5e38\u91cd\u590d\u51fa\u73b0\uff0c\u56e0\u6b64\u53ef\u4ee5\u65b9\u4fbf\u5730\u77e5\u9053\u8fd9\u4e9b\u89d2\u5ea6\u5904\u7684\u6b63\u5207\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\/valeurs-caracteristiques-fonction-tangente.webp\" alt=\"\u6b63\u5207\u51fd\u6570\u7684\u7279\u5f81\u503c\" class=\"wp-image-300\" width=\"740\" height=\"195\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u6b63\u5207\u51fd\u6570\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u57fa\u672c\u4e09\u89d2\u6052\u7b49\u5f0f\u4e0e\u6b63\u5f26\u548c\u4f59\u5f26\u51fd\u6570\u8054\u7cfb\u8d77\u6765\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-97ecd1e5d04b9e0aa9aab914a5ef9fe4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tg } \\alpha = \\cfrac{\\text{sen }\\alpha}{\\text{cos }\\alpha}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"102\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u6b63\u5207\u51fd\u6570\u7684\u7b26\u53f7\u53d6\u51b3\u4e8e\u89d2\u5ea6\u6240\u5728\u7684\u8c61\u9650\uff1a<\/p>\n<ul>\n<li>\u5982\u679c\u89d2\u5ea6\u5c5e\u4e8e\u7b2c\u4e00\u8c61\u9650\uff0c\u5219\u5176\u6b63\u5207\u5c06\u4e3a\u6b63\uff0c\u56e0\u4e3a\u5728\u8be5\u8c61\u9650\u4e2d\uff0c\u6b63\u5f26\u548c\u4f59\u5f26\u4e5f\u662f\u6b63\u7684\u3002<\/li>\n<li>\u5982\u679c\u89d2\u5ea6\u843d\u5728\u7b2c\u4e8c\u8c61\u9650\uff0c\u5219\u5176\u6b63\u5207\u5c06\u4e3a\u8d1f\uff0c\u56e0\u4e3a\u5728\u8be5\u8c61\u9650\u4e2d\uff0c\u6b63\u5f26\u4e3a\u6b63\uff0c\u4f59\u5f26\u4e3a\u8d1f\u3002<\/li>\n<li>\u5982\u679c\u89d2\u5ea6\u4f4d\u4e8e\u7b2c\u4e09\u8c61\u9650\uff0c\u5219\u5176\u6b63\u5207\u5c06\u4e3a\u6b63\uff0c\u56e0\u4e3a\u5728\u8be5\u8c61\u9650\u4e2d\uff0c\u6b63\u5f26\u548c\u4f59\u5f26\u4e3a\u8d1f\u3002<\/li>\n<li>\u5982\u679c\u89d2\u5ea6\u4f4d\u4e8e\u7b2c\u56db\u8c61\u9650\uff0c\u5219\u5176\u6b63\u5207\u5c06\u4e3a\u8d1f\uff0c\u56e0\u4e3a\u5728\u8be5\u8c61\u9650\u4e2d\uff0c\u6b63\u5f26\u4e3a\u8d1f\uff0c\u4f59\u5f26\u4e3a\u6b63\u3002 <\/li>\n<\/ul>\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-signe-de-la-tangente.webp\" alt=\"\u6b63\u5207\u51fd\u6570\u7684\u7b26\u53f7\" class=\"wp-image-301\" width=\"305\" height=\"295\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"representacion-grafica-de-la-funcion-tangente\"><\/span>\u6b63\u5207\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\u5207\u51fd\u6570\u7684\u56fe\u50cf\u3002\u901a\u8fc7\u7ed8\u5236\u6b63\u5207\u51fd\u6570\u7684\u56fe\u5f62\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\/representation-graphique-fonction-tangente.webp\" alt=\"\u6b63\u5207\u51fd\u6570\u7684\u56fe\u5f62\u8868\u793a\" class=\"wp-image-298\" width=\"779\" height=\"451\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u4ece\u56fe\u4e2d\u53ef\u4ee5\u770b\u51fa\uff0c\u4e0e\u6b63\u5f26\u548c\u4f59\u5f26\u51fd\u6570\u4e0d\u540c\uff0c\u6b63\u5207\u51fd\u6570\u7684\u56fe\u50cf\u503c\u6ca1\u6709\u754c\u9650\u3002\u6b64\u5916\uff0c\u8fd9\u4e9b\u503c\u6bcf 180 \u5ea6\uff08\u03c0 \u5f27\u5ea6\uff09\u91cd\u590d\u4e00\u6b21\uff0c\u56e0\u6b64\u5b83\u662f\u5468\u671f\u4e3a 180\u00b0 \u7684<strong>\u5468\u671f\u51fd\u6570<\/strong>\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u5728\u8be5\u56fe\u4e2d\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u6b63\u5207\u51fd\u6570\u662f<strong>\u5947\u6570<\/strong>\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\u5173\u4e8e\u539f\u70b9\uff080,0\uff09\u5bf9\u79f0\u3002\u4f8b\u5982\uff0c45\u00b0 \u7684\u6b63\u5207\u503c\u4e3a 1\uff0c-45\u00b0 \u7684\u6b63\u5207\u503c\u4e3a -1\u3002<\/p>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u8fd8\u53ef\u4ee5\u770b\u5230\u6b63\u5207\u51fd\u6570\u6709<strong>\u5782\u76f4\u6e10\u8fd1\u7ebf<\/strong>\u3002\u4f8b\u5982\uff0c\u5b83\u975e\u5e38\u63a5\u8fd1 x=90\u00b0 \u7ebf\uff0c\u4f46\u4ece\u672a\u89e6\u53ca\u5b83\uff0c\u5e76\u4e14\u6bcf 180 \u5ea6\u90fd\u4f1a\u53d1\u751f\u540c\u6837\u7684\u60c5\u51b5\u3002\u8fd9\u610f\u5473\u7740\u51fd\u6570\u5728\u8fd9\u4e9b\u70b9\u5904\u7684\u6781\u9650\u8d8b\u4e8e\u65e0\u7a77\u5927\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-funcion-tangente\"><\/span>\u6b63\u5207\u51fd\u6570\u7684\u6027\u8d28<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b63\u5207\u51fd\u6570\u5177\u6709\u4ee5\u4e0b\u7279\u70b9\uff1a<\/p>\n<ul>\n<li>\u6b63\u5207\u51fd\u6570\u7684\u57df\u662f\u9664\u5b58\u5728\u5782\u76f4\u6e10\u8fd1\u7ebf\u7684\u70b9\u4e4b\u5916\u7684\u6240\u6709\u5b9e\u6570\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-29b8cf7eff7870df6c68bac95de5bdaf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Dom } f = \\mathbb{R} - \\left\\{(2k+1)\\cdot \\frac{\\pi}{2} \\right\\} \\qquad k \\in \\mathbb{Z}\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"308\" style=\"vertical-align: -12px;\"><\/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-e82581257a3efb00f920674c5318bc85_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Dom } f = \\mathbb{R} - \\left\\{\\ldots \\ , \\ -\\frac{\\pi}{2} \\ , \\ \\frac{\\pi}{2} \\ , \\ \\frac{3\\pi}{2} \\ , \\ \\ldots \\right\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"326\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul>\n<li>\u6b63\u5207\u51fd\u6570\u7684\u503c\u57df\u6216\u503c\u57df\u90fd\u662f\u5b9e\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-5a954b5c192478c3b7b14428ac8d5cbc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Im } f= \\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"74\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<ul>\n<li>\u5b83\u662f\u4e00\u4e2a\u5468\u671f\u4e3a \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-4338f2dfc213a0dbac8aba420dd33179_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg}(-x) =- \\text{tg }x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"123\" 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-eab7b9b3afd7706a5a1aea4aca69413c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (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>\u8be5\u51fd\u6570\u5728\u6574\u4e2a\u57df\u4e0a\u4e25\u683c\u9012\u589e\uff0c\u56e0\u6b64\u5b83\u65e2\u6ca1\u6709\u6700\u5927\u503c\u4e5f\u6ca1\u6709\u6700\u5c0f\u503c\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u6b63\u5207\u7684\u5bfc\u6570\u4e3a\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-ad6c6fdefd907c51ac1e7b85e59260e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{tg } x \\ \\longrightarrow \\ f'(x)= 1+\\text{tg}^2 x=\\cfrac{1}{\\text{cos}^2 x} =\\text{sec}^2 x\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"398\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li>\u6700\u540e\uff0c\u6b63\u5207\u51fd\u6570\u7684\u79ef\u5206\u4e3a\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-8c7736fa3869dbff86797b1ff879cc43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\int \\text{tg } x \\ dx= -\\ln \\lvert \\text{cos }x \\rvert + C\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"218\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"periodo-de-la-funcion-tangente\"><\/span>\u6b63\u5207\u51fd\u6570\u7684\u5468\u671f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e0e\u5176\u4ed6\u4e09\u89d2\u51fd\u6570\uff08\u4f8b\u5982\u6b63\u5f26\u548c\u4f59\u5f26\uff09\u4e0d\u540c\uff0c\u6b63\u5207\u51fd\u6570\u6ca1\u6709\u5927\u5c0f\uff0c\u56e0\u4e3a\u5b83\u65e2\u6ca1\u6709\u6700\u5927\u503c\u4e5f\u6ca1\u6709\u6700\u5c0f\u503c\u3002\u7136\u800c\uff0c\u5b83\u662f\u4e00\u4e2a\u5468\u671f\u51fd\u6570\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u5b83\u7684\u503c\u4ee5\u6211\u4eec\u5728\u56fe\u5f62\u4e2d\u770b\u5230\u7684\u9891\u7387\u91cd\u590d\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-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<ul>\n<li>\u6b63\u5207\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-3018883cc7bcf87eaf5d39ca88d719c1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Periodo}=T=\\cfrac{\\pi}{w}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"135\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"teorema-de-la-tangente\"><\/span>\u6b63\u5207\u5b9a\u7406<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5c3d\u7ba1\u6b63\u5207\u516c\u5f0f\u901a\u5e38\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\u5207\u5b9a\u7406\u3002<\/p>\n<p><strong>\u6b63\u5207\u5b9a\u7406<\/strong>\u5c06\u4efb\u610f\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=\"\" 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-261e505be252193e417e40524dc7fec7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{a+b}{a-b} = \\cfrac{ \\text{tg}\\left(\\frac{\\alpha+\\beta}{2}\\right)}{\\text{tg}\\left(\\frac{\\alpha-\\beta}{2}\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"136\" style=\"vertical-align: -30px;\"><\/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-3e330dd1d596b748ac4f24b84a0a41e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{a+c}{a-c} = \\cfrac{ \\text{tg}\\left(\\frac{\\alpha+\\gamma \\vphantom{\\beta}}{2}\\right)}{\\text{tg}\\left(\\frac{\\alpha-\\gamma\\vphantom{\\beta}}{2}\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"136\" style=\"vertical-align: -30px;\"><\/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-267dc10c3b0e77cd0d01c8f1194c48e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{b+c}{b-c} = \\cfrac{ \\text{tg}\\left(\\frac{\\beta+\\gamma}{2}\\right)}{\\text{tg}\\left(\\frac{\\beta-\\gamma}{2}\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"133\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"relaciones-de-la-funcion-tangente-con-otras-razones-trigonometricas\"><\/span>\u6b63\u5207\u51fd\u6570\u4e0e\u5176\u4ed6\u4e09\u89d2\u6bd4\u7387\u7684\u5173\u7cfb<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e0b\u9762\u662f\u6b63\u5207\u4e0e\u4e09\u89d2\u5b66\u4e2d\u6700\u91cd\u8981\u7684\u4e09\u89d2\u6bd4\u7684\u5173\u7cfb\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u4e0e\u4e73\u623f\u7684\u5173\u7cfb<\/h3>\n<ul>\n<li>\u89d2\u5ea6\u7684\u6b63\u5207\u548c\u6b63\u5f26\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-7a86df77c498819d8ea98595aeae1e78_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg }\\alpha = \\pm \\cfrac{\\text{sen }\\alpha }{\\sqrt{1-\\text{sen}^2\\alpha \\vphantom{\\bigl( }}}\" title=\"Rendered by QuickLaTeX.com\" height=\"52\" width=\"165\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\">\u4f59\u5f26\u6bd4<\/h3>\n<ul>\n<li>\u540c\u6837\uff0c\u89d2\u5ea6\u7684\u6b63\u5207\u548c\u4f59\u5f26\u4e0e\u4ee5\u4e0b\u7b49\u5f0f\u76f8\u5173\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-4cd911a6fe6c9f7a24fc1da0f14253cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg }\\alpha = \\pm \\cfrac{\\sqrt{1-\\text{cos}^2\\alpha \\vphantom{\\bigl( }} }{\\text{cos }\\alpha}\" title=\"Rendered by QuickLaTeX.com\" height=\"51\" width=\"164\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\">\u4e0e\u4f59\u5272\u7684\u5173\u7cfb<\/h3>\n<ul>\n<li>\u867d\u7136\u5f88\u96be\u8bc1\u660e\uff0c\u4f46\u53ef\u4ee5\u6c42\u89e3\u6b63\u5207\uff0c\u4f7f\u5176\u4ec5\u53d6\u51b3\u4e8e\u4f59\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-1d5565a2114d02ca91e1f40c48a768e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg }\\alpha = \\pm \\cfrac{1}{\\sqrt{\\text{csc}^2\\alpha -1 \\vphantom{\\bigl( }}}\" title=\"Rendered by QuickLaTeX.com\" height=\"56\" width=\"163\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\">\u4e0e\u5272\u7ebf\u7684\u5173\u7cfb<\/h3>\n<ul>\n<li>\u89d2\u5ea6\u7684\u6b63\u5207\u548c\u5272\u7ebf\u7531\u4ee5\u4e0b\u7b49\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-da24bf5121188e8b3822a780b7ceeda4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg }\\alpha =  \\pm\\sqrt{\\text{sec}^2\\alpha -1\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"161\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\">\u4e0e\u4f59\u5207\u7684\u5173\u7cfb<\/h3>\n<ul>\n<li>\u6b63\u5207\u548c\u4f59\u5207\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-19dad2de61693ec3497a367b9ca36871_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg }\\alpha =\\pm \\cfrac{1}{\\text{cot }\\alpha}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"113\" style=\"vertical-align: -12px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u627e\u5230\u6709\u5173\u6b63\u5207\u51fd\u6570\u7684\u6240\u6709\u4fe1\u606f\uff1a\u5b83\u662f\u4ec0\u4e48\u3001\u5b83\u7684\u516c\u5f0f\u662f\u4ec0\u4e48\u3001\u5982\u4f55\u5728\u56fe\u5f62\u4e2d\u8868\u793a\u5b83\u3001\u51fd\u6570\u7684\u7279\u5f81\u3001\u5468\u671f\u7b49\u3002 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%88%87%e5%87%bd%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u6b63\u5207\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-351","post","type-post","status-publish","format-standard","hentry","category-17"],"yoast_head":"<!-- This site is optimized 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