{"id":29,"date":"2023-09-17T11:03:23","date_gmt":"2023-09-17T11:03:23","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%bc%a6%e5%af%bc%e6%95%b0\/"},"modified":"2023-09-17T11:03:23","modified_gmt":"2023-09-17T11:03:23","slug":"%e6%ad%a3%e5%bc%a6%e5%af%bc%e6%95%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%bc%a6%e5%af%bc%e6%95%b0\/","title":{"rendered":"\u4e73\u817a\u884d\u751f"},"content":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u5c06\u89e3\u91ca\u5982\u4f55\u521b\u5efa\u6b63\u5f26\u5bfc\u6570\uff08\u516c\u5f0f\uff09\u3002\u60a8\u5c06\u627e\u5230\u6b63\u5f26\u51fd\u6570\u5bfc\u6570\u7684\u793a\u4f8b\u4ee5\u53ca\u7528\u4e8e\u7ec3\u4e60\u7684\u5206\u6b65\u7ec3\u4e60\u3002\u6b64\u5916\uff0c\u6211\u4eec\u8fd8\u5411\u60a8\u5c55\u793a\u4e86\u6b63\u5f26\u7684\u4e8c\u9636\u5bfc\u6570\u3001\u6b63\u5f26\u7684\u53cd\u5bfc\u6570\uff0c\u751a\u81f3\u8fd8\u6f14\u793a\u4e86\u6b63\u5f26\u5bfc\u6570\u7684\u516c\u5f0f\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcual-es-la-derivada-del-seno\"><\/span>\u6b63\u5f26\u7684\u5bfc\u6570\u662f\u4ec0\u4e48\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u6b63\u5f26\u51fd\u6570\u7684\u5bfc\u6570\u662f\u4f59\u5f26\u51fd\u6570\u3002\u56e0\u6b64\uff0cx \u7684\u6b63\u5f26\u5bfc\u6570\u7b49\u4e8e x \u7684\u4f59\u5f26\u3002<\/strong><\/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-2fdc142e7ff766dcf7fcd24b16e11ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cos}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"375\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5982\u679c\u6b63\u5f26\u53c2\u6570\u4e2d\u6709\u4e00\u4e2a\u51fd\u6570\uff0c\u5219\u6b63\u5f26\u7684\u5bfc\u6570\u662f\u8be5\u51fd\u6570\u7684\u4f59\u5f26\u4e58\u4ee5\u8be5\u51fd\u6570\u7684\u5bfc\u6570\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-18d979f3aa2169f80fd46a26a7c70bf6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cos}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"402\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6b63\u5f26\u5bfc\u6570\u7684\u7b2c\u4e8c\u4e2a\u516c\u5f0f\u662f\u901a\u8fc7\u5c06\u94fe\u5f0f\u6cd5\u5219\u5e94\u7528\u4e8e\u7b2c\u4e00\u4e2a\u516c\u5f0f\u800c\u83b7\u5f97\u7684\u3002\u56e0\u6b64\uff0c\u7efc\u4e0a\u6240\u8ff0\uff0c\u6b63\u5f26\u51fd\u6570\u7684\u5bfc\u6570\u516c\u5f0f\u4e3a\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\/derivee-du-sinus.webp\" alt=\"\u4e73\u623f\u884d\u751f\u7684\" class=\"wp-image-1872\" width=\"392\" height=\"282\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-derivada-del-seno\"><\/span>\u6b63\u5f26\u5bfc\u6570\u7684\u4f8b\u5b50<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e86\u89e3\u4e86\u6b63\u5f26\u5bfc\u6570\u516c\u5f0f\u662f\u4ec0\u4e48\u540e\uff0c\u6211\u4eec\u5c06\u89e3\u91ca\u6b64\u7c7b\u4e09\u89d2\u5bfc\u6570\u7684\u51e0\u4e2a\u793a\u4f8b\uff0c\u4ee5\u4fbf\u60a8\u5145\u5206\u7406\u89e3\u5982\u4f55\u63a8\u5bfc\u6b63\u5f26\u51fd\u6570\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-1-derivada-del-seno-de-2x\"><\/span>\u793a\u4f8b 1\uff1a2x \u7684\u6b63\u5f26\u5bfc\u6570<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8eb4985d571a4ead05f1f6289197249f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(2x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"115\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5728\u6b63\u5f26\u53c2\u6570\u4e2d\uff0c\u6211\u4eec\u6709\u4e00\u4e2a\u4e0e x \u4e0d\u540c\u7684\u51fd\u6570\uff0c\u56e0\u6b64\u6211\u4eec\u9700\u8981\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u5bfc\u51fa\u6b63\u5f26\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-18d979f3aa2169f80fd46a26a7c70bf6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cos}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"402\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> 2x \u7684\u5bfc\u6570\u4e3a 2\uff0c\u56e0\u6b64 2x \u7684\u6b63\u5f26\u5bfc\u6570\u662f 2x \u7684\u4f59\u5f26\u4e58\u4ee5 2 \u7684\u4e58\u79ef\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-c3fdd6b2afbc2c387f9160474119139f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(2x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cos}(2x)\\cdot 2=2\\text{cos}(2x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"503\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-2-derivada-del-seno-de-x-al-cuadrado\"><\/span>\u793a\u4f8b 2\uff1ax \u5e73\u65b9\u7684\u6b63\u5f26\u5bfc\u6570<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-856ab4d35ee160a6b966a748ec9cf4f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"114\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6b63\u5f26\u51fd\u6570\u7684\u5bfc\u6570\u516c\u5f0f\u4e3a\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-18d979f3aa2169f80fd46a26a7c70bf6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cos}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"402\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u7531\u4e8e x <sup>2<\/sup>\u7684\u5bfc\u6570\u7b49\u4e8e 2x\uff0c\u56e0\u6b64 x \u7684\u6b63\u5f26\u503c\u7684 2 \u6b21\u65b9\u7684\u5bfc\u6570\u4e3a\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-901d9c0780a330a0d10d9f6d0185bbe2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(x^2) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cos}(x^2)\\cdot 2x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"423\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-3-derivada-del-seno-al-cubo\"><\/span>\u793a\u4f8b 3\uff1a\u6b63\u5f26\u7acb\u65b9\u7684\u5bfc\u6570<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6428f8178ef3b768b1ec0a673f31c814_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}^3(x^5+4x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"162\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u6b63\u5f26\u51fd\u6570\u662f\u7531\u53e6\u4e00\u4e2a\u51fd\u6570\u7ec4\u6210\u7684\uff0c\u56e0\u6b64\u6211\u4eec\u5fc5\u987b\u4f7f\u7528\u4ee5\u4e0b\u89c4\u5219\u6765\u533a\u5206\u6b63\u5f26\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-18d979f3aa2169f80fd46a26a7c70bf6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\text{cos}(u)\\cdot u'\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"402\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\u8be5\u51fd\u6570\u7684\u5bfc\u6570\u4e3a\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-5ec8461861a7213d371d7dc6cff1cc92_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f'(x)=3\\text{sen}^2(x^5+4x)\\cdot \\text{cos}(x^5+4x)\\cdot (5x^4+4)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"368\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><u style=\"text-decoration-color:#ff951b;\">\u4e3a\u4e86\u5bfc\u51fa\u6b64\u51fd\u6570\uff0c\u60a8\u8fd8\u5fc5\u987b\u5e94\u7528<\/u><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u529f\u7387\u52bf\u51fd\u6570\u7684\u5bfc\u6570\/\">\u5e42 \u7684\u5bfc\u6570\u516c\u5f0f<\/a><\/span>\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"segunda-derivada-del-seno\"><\/span>\u6b63\u5f26\u7684\u4e8c\u9636\u5bfc\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7136\u540e\u6211\u4eec\u5c06\u5206\u6790\u6b63\u5f26\u51fd\u6570\u7684\u4e8c\u9636\u5bfc\u6570\uff0c\u56e0\u4e3a\u4f5c\u4e3a\u4e09\u89d2\u51fd\u6570\uff0c\u5b83\u5177\u6709\u7279\u5b9a\u7684\u7279\u5f81\u3002<\/p>\n<p>\u6b63\u5982\u6211\u4eec\u5728\u4e0a\u9762\u770b\u5230\u7684\uff0c\u6b63\u5f26\u7684\u5bfc\u6570\u662f\u4f59\u5f26\u3002\u55ef\uff0c\u4f59\u5f26\u7684\u5bfc\u6570\u662f\u6b63\u5f26\uff0c\u4f46\u7b26\u53f7\u6539\u53d8\u4e86\u3002\u8fd9\u610f\u5473\u7740<strong>\u6b63\u5f26\u7684\u4e8c\u9636\u5bfc\u6570\u662f\u6b63\u5f26\u672c\u8eab\uff0c\u4f46\u7b26\u53f7\u5df2\u6539\u53d8<\/strong>\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-7a312c69d71be2df495ba30f6e3b85e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(x)=\\text{sen}(x)\\\\[1.5ex] \\quad\\color{orange}\\bm{\\downarrow}\\quad\\color{black} \\\\[1.5ex] f'(x)=\\text{cos}(x)\\\\[2ex] \\quad\\color{orange}\\bm{\\downarrow}\\quad\\color{black} \\\\[1.5ex] f''(x)=-\\text{sen}(x)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"157\" width=\"133\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u4f46\u662f\uff0c\u5982\u679c\u6b63\u5f26\u53c2\u6570\u4e0d\u662f x\uff0c\u5219\u6b64\u6761\u4ef6\u4f1a\u53d1\u751f\u53d8\u5316\uff0c\u56e0\u4e3a\u6211\u4eec\u9700\u8981\u62d6\u52a8\u94fe\u5f0f\u6cd5\u5219\u9879\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-a6a3a1255d5494e320a50ef02bce9d19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}f(x)=\\text{sen}(u)\\\\[1.5ex] \\quad\\color{orange}\\bm{\\downarrow}\\quad\\color{black} \\\\[1.5ex] f'(x)=\\text{cos}(u)\\cdot u' \\\\[1.5ex] \\quad\\color{orange}\\bm{\\downarrow}\\quad\\color{black} \\\\[1.5ex] f''(x)=-\\text{sen}(u)\\cdot u'^2 +\\text{cos}(u)\\cdot u'' \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"153\" width=\"263\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"derivada-del-seno-inverso\"><\/span>\u53cd\u6b63\u5f26\u5bfc\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4f17\u6240\u5468\u77e5\uff0c\u6bcf\u4e2a\u4e09\u89d2\u51fd\u6570\u90fd\u6709\u4e00\u4e2a\u53cd\u51fd\u6570\uff0c\u56e0\u6b64\u53cd\u6b63\u5f26\u4e5f\u662f\u53ef\u5fae\u7684\u3002<\/p>\n<p><strong>\u53cd\u6b63\u5f26\u7684\u5bfc\u6570<\/strong>\u7b49\u4e8e\u81ea\u53d8\u91cf\u51fd\u6570\u7684\u5bfc\u6570\u9664\u4ee5\u4e00\u7684\u5e73\u65b9\u6839\u51cf\u53bb\u81ea\u53d8\u91cf\u51fd\u6570\u7684\u5e73\u65b9\u6240\u5f97\u7684\u5546\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-8fbeb5e099f046c572b9076a3e65b80b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}^{-1}(u) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{u'}{\\sqrt{1-u^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"412\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u53cd\u6b63\u5f26\u4e5f\u79f0\u4e3a\u53cd\u6b63\u5f26\u3002<\/p>\n<p>\u4f8b\u5982\uff0c5x \u7684\u53cd\u6b63\u5f26\u5bfc\u6570\u4e3a\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-6946743939fbacc11ac050625151ea97_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{sen}^{-1}(5x) \\quad\\color{orange}\\bm{\\longrightarrow}\\quad\\color{black} f'(x)=\\cfrac{5}{\\sqrt{1-(5x)^2}}=\\cfrac{5}{\\sqrt{1-25x^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"553\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-derivada-del-seno\"><\/span>\u89e3\u51b3\u4e86\u6b63\u5f26\u5bfc\u6570\u7684\u7ec3\u4e60<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8ba1\u7b97\u4ee5\u4e0b\u6b63\u5f26\u51fd\u6570\u7684\u5bfc\u6570\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-91a8a2e764daa0e57ffd835005c8c474_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) }f(x)=\\text{sen}(7x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"141\" style=\"vertical-align: -5px;\"><\/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-e80e9e86c1ff2373d4321dbf0b348d8f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) }f(x)=\\text{sen}(x^2+5x-9)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"210\" style=\"vertical-align: -5px;\"><\/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-acda934e5f1e150c3657c7c179dae04e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) }\\displaystyle f(x)=\\text{sen}\\left(\\frac{x}{4}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"144\" 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-b5dd5bfe722128418bd89665bb3d7fc5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) }f(x)=\\text{sen}^4(5x^3-10x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"214\" style=\"vertical-align: -5px;\"><\/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-25cef83962dcc595ea141212c144424c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) }f(x)=\\text{sen}\\bigl(\\ln(x)\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"161\" style=\"vertical-align: -7px;\"><\/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-1761cfbdc805de80c6edab26613014cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F) }f(x)=2\\text{sen}(x^4-3x^3)-7\\text{sen}^2(x^5)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"290\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a0c6093fe6364e806ee4adb980e6ae1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A) }f'(x)=7\\text{cos}(7x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"153\" style=\"vertical-align: -5px;\"><\/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-0c4f15d01ad3f2dae29e0e6e4944b050_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B) }f'(x)=\\text{cos}(x^2+5x-9)\\cdot (2x+5)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"290\" style=\"vertical-align: -5px;\"><\/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-5ec1bb477b6f8b9d62adffa38288667b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C) }\\displaystyle f'(x)=\\text{cos}\\left(\\frac{x}{4}\\right)\\cdot \\frac{1}{4}=\\frac{\\text{cos}\\left(\\frac{x}{4}\\right)}{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"256\" 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-4d54d16bf947c61429cb47f9613701cd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D) }f'(x)=4\\text{sen}^3(5x^3-10x^2)\\cdot \\text{cos}(5x^3-10x^2)\\cdot (15x^2-20x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"473\" style=\"vertical-align: -5px;\"><\/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-9a5b66e0c4e67d903aea56caef9e72df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E) }f'(x)=\\text{cos}\\bigl(\\ln(x)\\bigr)\\cdot \\cfrac{1}{x} =\\cfrac{\\text{cos}\\bigl(\\ln(x)\\bigr)}{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"296\" 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-d5002d567a4412d1a78c369ff26ebb66_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F) }f'(x)=2\\text{cos}(x^4-3x^3)\\cdot (4x^3-9x^2)-14\\text{sen}(x^5)\\cdot \\text{cos}(x^5)\\cdot 5x^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"504\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"demostracion-de-la-derivada-del-seno\"><\/span>\u6b63\u5f26\u5bfc\u6570\u7684\u6f14\u793a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u672c\u8282\u4e2d\uff0c\u6211\u4eec\u5c06\u4f7f\u7528\u5bfc\u6570\u7684\u5b9a\u4e49\u6765\u8bc1\u660e x \u7684\u6b63\u5f26\u5bfc\u6570\u662f x \u7684\u4f59\u5f26\uff0c\u5373\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-dc1699622d128f888c1f20599aeccf60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\lim_{h \\to 0}\\frac{f(x+h)-f(x)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"219\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u8981\u5bfc\u51fa\u7684\u51fd\u6570\u662f sin(x)\uff0c\u56e0\u6b64\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-9af97a03363cd676667ad58135760ba2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\lim_{h \\to 0}\\frac{\\text{sen}(x+h)-\\text{sen}(x)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"247\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u548c\u7684\u6b63\u5f26\u53ef\u4ee5\u901a\u8fc7\u5e94\u7528\u4ee5\u4e0b\u4e09\u89d2\u6052\u7b49\u5f0f\u6765\u91cd\u5199\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-0836929c5c4ae666d530ad9946e1a191_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{sen}(a+b)=\\text{sen}(a)\\text{cos}(b)+\\text{cos}(a)\\text{sen}(b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"308\" style=\"vertical-align: -5px;\"><\/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-dbebd45e9fdfaa9e6ade3b6a4bfad716_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\lim_{h \\to 0}\\frac{\\text{sen}(x)\\text{cos}(h)+\\text{cos}(x)\\text{sen}(h)-\\text{sen}(x)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"381\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u5c06\u5206\u6570\u8f6c\u5316\u4e3a\u4e24\u4e2a\u5177\u6709\u76f8\u540c\u5206\u6bcd\u7684\u5206\u6570\u3002\u7531\u4e8e\u603b\u548c\u6781\u9650\u5b9a\u5f8b\uff0c\u6211\u4eec\u53ef\u4ee5\u5b8c\u6210\u8fd9\u4e2a\u64cd\u4f5c\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-3368ab9ecc3a19ad382f85707d6e66cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\lim_{h \\to 0}\\left[\\frac{\\text{sen}(x)(\\text{cos}(h)-1)}{h}+\\frac{\\text{cos}(x)\\text{sen}(h)}{h}\\right]\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"375\" style=\"vertical-align: -16px;\"><\/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-819a10da8fb503b9797c855f0a6208bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\lim_{h \\to 0}\\text{sen}(x)\\frac{\\text{cos}(h)-1}{h}+\\lim_{h \\to 0}\\text{cos}(x)\\frac{\\text{sen}(h)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"377\" style=\"vertical-align: -13px;\"><\/p>\n<\/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\/\u6027\u8d28\u6781\u9650\u5b9a\u5f8b\/\">\u6781\u9650\u5b9a\u5f8b<\/a><\/span><\/p>\n<p>x \u7684\u6b63\u5f26\u548c x \u7684\u4f59\u5f26\u9879\u4e0d\u4f9d\u8d56\u4e8e h \u7684\u503c\uff0c\u56e0\u6b64\u6211\u4eec\u53ef\u4ee5\u5c06\u5b83\u4eec\u6392\u9664\u5728\u9650\u5236\u4e4b\u5916\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-2ae7a3b5022abcb1941be4a0b6a02287_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\text{sen}(x)\\cdot\\lim_{h \\to 0}\\frac{\\text{cos}(h)-1}{h}+\\text{cos}(x)\\cdot\\lim_{h \\to 0}\\frac{\\text{sen}(h)}{h}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"402\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u73b0\u5728\u8981\u505a\u7684\u5c31\u662f\u5e94\u7528\u8fd9\u4e24\u4e2a\u4e09\u89d2\u6781\u9650\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-14300dcf4010d732b8568b9b4460b5e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{\\text{sen}(x)}{x}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"116\" 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-51835176b411ca1ec4f37835a83685fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to 0}\\frac{1-\\text{cos}(x)}{x}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"146\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u6ce8\uff1a<\/strong>\u60a8\u53ef\u4ee5\u5728\u6211\u4eec\u7f51\u7ad9\u7684\u641c\u7d22\u5f15\u64ce\u4e2d\u641c\u7d22\u5230\u524d\u9762\u4e24\u4e2a\u4e09\u89d2\u6781\u9650\u7684\u6f14\u793a\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-cfbe7d4af77ff230e9e7a059414e90e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\text{sen}(x)\\cdot 0+\\text{cos}(x)\\cdot 1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"223\" style=\"vertical-align: -5px;\"><\/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-863dc523f1b112a07352b60c8dfdc2b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f'(x)=\\text{cos}(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"109\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\u6211\u4eec\u8bc1\u660e x \u7684\u6b63\u5f26\u5bfc\u6570\u662f x \u7684\u4f59\u5f26\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u5c06\u89e3\u91ca\u5982\u4f55\u521b\u5efa\u6b63\u5f26\u5bfc\u6570\uff08\u516c\u5f0f\uff09\u3002\u60a8\u5c06\u627e\u5230\u6b63\u5f26\u51fd\u6570\u5bfc\u6570\u7684\u793a\u4f8b\u4ee5\u53ca\u7528\u4e8e\u7ec3\u4e60\u7684\u5206\u6b65\u7ec3\u4e60\u3002\u6b64\u5916\uff0c\u6211\u4eec\u8fd8\u5411 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%bc%a6%e5%af%bc%e6%95%b0\/\"> <span class=\"screen-reader-text\">\u4e73\u817a\u884d\u751f<\/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":[6],"tags":[],"class_list":["post-29","post","type-post","status-publish","format-standard","hentry","category-6"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \u6b63\u5f26\u5bfc\u6570\uff08\u5df2\u89e3\u51b3\u516c\u5f0f\u548c\u7ec3\u4e60\uff09<\/title>\n<meta name=\"description\" content=\"\u6211\u4eec\u89e3\u91ca\u5982\u4f55\u505a\u6b63\u5f26\u5bfc\u6570\uff08\u516c\u5f0f\uff09\u3002 \u2705 \u89e3\u51b3\u4e86\u6b63\u5f26\u51fd\u6570\u5bfc\u6570\u7684\u7ec3\u4e60\u3002 \u2705\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/cn\/\u6b63\u5f26\u5bfc\u6570\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 \u6b63\u5f26\u5bfc\u6570\uff08\u5df2\u89e3\u51b3\u516c\u5f0f\u548c\u7ec3\u4e60\uff09\" \/>\n<meta property=\"og:description\" content=\"\u6211\u4eec\u89e3\u91ca\u5982\u4f55\u505a\u6b63\u5f26\u5bfc\u6570\uff08\u516c\u5f0f\uff09\u3002 \u2705 \u89e3\u51b3\u4e86\u6b63\u5f26\u51fd\u6570\u5bfc\u6570\u7684\u7ec3\u4e60\u3002 \u2705\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/cn\/\u6b63\u5f26\u5bfc\u6570\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-09-17T11:03:23+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2fdc142e7ff766dcf7fcd24b16e11ffa_l3.png\" \/>\n<meta name=\"author\" content=\"Mathority\u56e2\u961f\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"Mathority\u56e2\u961f\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%bc%a6%e5%af%bc%e6%95%b0\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%bc%a6%e5%af%bc%e6%95%b0\/\"},\"author\":{\"name\":\"Mathority\u56e2\u961f\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071\"},\"headline\":\"\u4e73\u817a\u884d\u751f\",\"datePublished\":\"2023-09-17T11:03:23+00:00\",\"dateModified\":\"2023-09-17T11:03:23+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%bc%a6%e5%af%bc%e6%95%b0\/\"},\"wordCount\":22,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/cn\/#organization\"},\"articleSection\":[\"\u884d\u751f\u54c1\"],\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%bc%a6%e5%af%bc%e6%95%b0\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%bc%a6%e5%af%bc%e6%95%b0\/\",\"url\":\"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%bc%a6%e5%af%bc%e6%95%b0\/\",\"name\":\"\u25b7 \u6b63\u5f26\u5bfc\u6570\uff08\u5df2\u89e3\u51b3\u516c\u5f0f\u548c\u7ec3\u4e60\uff09\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/cn\/#website\"},\"datePublished\":\"2023-09-17T11:03:23+00:00\",\"dateModified\":\"2023-09-17T11:03:23+00:00\",\"description\":\"\u6211\u4eec\u89e3\u91ca\u5982\u4f55\u505a\u6b63\u5f26\u5bfc\u6570\uff08\u516c\u5f0f\uff09\u3002 \u2705 \u89e3\u51b3\u4e86\u6b63\u5f26\u51fd\u6570\u5bfc\u6570\u7684\u7ec3\u4e60\u3002 \u2705\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%bc%a6%e5%af%bc%e6%95%b0\/#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%bc%a6%e5%af%bc%e6%95%b0\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%bc%a6%e5%af%bc%e6%95%b0\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/cn\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u4e73\u817a\u884d\u751f\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/cn\/#website\",\"url\":\"https:\/\/mathority.org\/cn\/\",\"name\":\"Mathority\",\"description\":\"\u597d\u5947\u5fc3\u4e0e\u8ba1\u7b97\u7684\u7ed3\u5408\uff01\",\"publisher\":{\"@id\":\"https:\/\/mathority.org\/cn\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/cn\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"zh-Hans\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathority.org\/cn\/#organization\",\"name\":\"Mathority\",\"url\":\"https:\/\/mathority.org\/cn\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"contentUrl\":\"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"width\":703,\"height\":151,\"caption\":\"Mathority\"},\"image\":{\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071\",\"name\":\"Mathority\u56e2\u961f\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g\",\"caption\":\"Mathority\u56e2\u961f\"},\"sameAs\":[\"http:\/\/mathority.org\/cn\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u25b7 \u6b63\u5f26\u5bfc\u6570\uff08\u5df2\u89e3\u51b3\u516c\u5f0f\u548c\u7ec3\u4e60\uff09","description":"\u6211\u4eec\u89e3\u91ca\u5982\u4f55\u505a\u6b63\u5f26\u5bfc\u6570\uff08\u516c\u5f0f\uff09\u3002 \u2705 \u89e3\u51b3\u4e86\u6b63\u5f26\u51fd\u6570\u5bfc\u6570\u7684\u7ec3\u4e60\u3002 \u2705","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathority.org\/cn\/\u6b63\u5f26\u5bfc\u6570\/","og_locale":"zh_CN","og_type":"article","og_title":"\u25b7 \u6b63\u5f26\u5bfc\u6570\uff08\u5df2\u89e3\u51b3\u516c\u5f0f\u548c\u7ec3\u4e60\uff09","og_description":"\u6211\u4eec\u89e3\u91ca\u5982\u4f55\u505a\u6b63\u5f26\u5bfc\u6570\uff08\u516c\u5f0f\uff09\u3002 \u2705 \u89e3\u51b3\u4e86\u6b63\u5f26\u51fd\u6570\u5bfc\u6570\u7684\u7ec3\u4e60\u3002 \u2705","og_url":"https:\/\/mathority.org\/cn\/\u6b63\u5f26\u5bfc\u6570\/","article_published_time":"2023-09-17T11:03:23+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2fdc142e7ff766dcf7fcd24b16e11ffa_l3.png"}],"author":"Mathority\u56e2\u961f","twitter_card":"summary_large_image","twitter_misc":{"\u4f5c\u8005":"Mathority\u56e2\u961f"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%bc%a6%e5%af%bc%e6%95%b0\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%bc%a6%e5%af%bc%e6%95%b0\/"},"author":{"name":"Mathority\u56e2\u961f","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071"},"headline":"\u4e73\u817a\u884d\u751f","datePublished":"2023-09-17T11:03:23+00:00","dateModified":"2023-09-17T11:03:23+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%bc%a6%e5%af%bc%e6%95%b0\/"},"wordCount":22,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/cn\/#organization"},"articleSection":["\u884d\u751f\u54c1"],"inLanguage":"zh-Hans","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%bc%a6%e5%af%bc%e6%95%b0\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%bc%a6%e5%af%bc%e6%95%b0\/","url":"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%bc%a6%e5%af%bc%e6%95%b0\/","name":"\u25b7 \u6b63\u5f26\u5bfc\u6570\uff08\u5df2\u89e3\u51b3\u516c\u5f0f\u548c\u7ec3\u4e60\uff09","isPartOf":{"@id":"https:\/\/mathority.org\/cn\/#website"},"datePublished":"2023-09-17T11:03:23+00:00","dateModified":"2023-09-17T11:03:23+00:00","description":"\u6211\u4eec\u89e3\u91ca\u5982\u4f55\u505a\u6b63\u5f26\u5bfc\u6570\uff08\u516c\u5f0f\uff09\u3002 \u2705 \u89e3\u51b3\u4e86\u6b63\u5f26\u51fd\u6570\u5bfc\u6570\u7684\u7ec3\u4e60\u3002 \u2705","breadcrumb":{"@id":"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%bc%a6%e5%af%bc%e6%95%b0\/#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%bc%a6%e5%af%bc%e6%95%b0\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/cn\/%e6%ad%a3%e5%bc%a6%e5%af%bc%e6%95%b0\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/cn\/"},{"@type":"ListItem","position":2,"name":"\u4e73\u817a\u884d\u751f"}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/cn\/#website","url":"https:\/\/mathority.org\/cn\/","name":"Mathority","description":"\u597d\u5947\u5fc3\u4e0e\u8ba1\u7b97\u7684\u7ed3\u5408\uff01","publisher":{"@id":"https:\/\/mathority.org\/cn\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/cn\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"zh-Hans"},{"@type":"Organization","@id":"https:\/\/mathority.org\/cn\/#organization","name":"Mathority","url":"https:\/\/mathority.org\/cn\/","logo":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/","url":"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png","contentUrl":"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png","width":703,"height":151,"caption":"Mathority"},"image":{"@id":"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071","name":"Mathority\u56e2\u961f","image":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g","caption":"Mathority\u56e2\u961f"},"sameAs":["http:\/\/mathority.org\/cn"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts\/29","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/comments?post=29"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts\/29\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/media?parent=29"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/categories?post=29"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/tags?post=29"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}