{"id":213,"date":"2023-07-11T15:40:45","date_gmt":"2023-07-11T15:40:45","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e7%ac%9b%e5%8d%a1%e5%b0%94%e6%9e%81%e6%9f%b1%e7%90%83%e5%9d%90%e6%a0%87%e7%b3%bb\/"},"modified":"2023-07-11T15:40:45","modified_gmt":"2023-07-11T15:40:45","slug":"%e7%ac%9b%e5%8d%a1%e5%b0%94%e6%9e%81%e6%9f%b1%e7%90%83%e5%9d%90%e6%a0%87%e7%b3%bb","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e7%ac%9b%e5%8d%a1%e5%b0%94%e6%9e%81%e6%9f%b1%e7%90%83%e5%9d%90%e6%a0%87%e7%b3%bb\/","title":{"rendered":"\u5750\u6807\u7cfb"},"content":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u6211\u4eec\u89e3\u91ca\u4e86\u4ec0\u4e48\u662f\u5750\u6807\u7cfb\uff0c\u6b64\u5916\uff0c\u60a8\u8fd8\u5c06\u627e\u5230\u6709\u5173\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\u7684\u6240\u6709\u5185\u5bb9\u3002\u60a8\u8fd8\u5c06\u770b\u5230\u5176\u4ed6\u7c7b\u578b\u7684\u5750\u6807\u7cfb\uff08\u6781\u5750\u6807\u7cfb\u3001\u67f1\u5750\u6807\u7cfb\u3001\u7403\u5750\u6807\u7cfb\u7b49\uff09\u4ee5\u53ca\u5750\u6807\u7cfb\u7684\u5b9e\u9645\u5e94\u7528\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-un-sistema-de-coordenadas\"><\/span>\u4ec0\u4e48\u662f\u5750\u6807\u7cfb\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u867d\u7136\u4e00\u5f00\u59cb\u7406\u89e3\u8fd9\u4e2a\u6982\u5ff5\u6709\u70b9\u56f0\u96be\uff0c\u4f46\u5750\u6807\u7cfb\u7684\u5b9a\u4e49\u662f\uff1a<\/p>\n<p><strong>\u5750\u6807\u7cfb<\/strong>\u662f\u4e00\u4e2a\u5141\u8bb8\u6211\u4eec\u8bc6\u522b\u70b9\u4f4d\u7f6e\u7684\u7cfb\u7edf\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5b83\u662f\u4e00\u7ec4\u7528\u4e8e\u5b9a\u4e49\u4efb\u4f55\u51e0\u4f55\u5bf9\u8c61\u7684\u4f4d\u7f6e\u7684\u503c\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u4e0b\u9762\u7684\u98de\u673a\u98de\u884c\u7684\u4f4d\u7f6e\u53ef\u4ee5\u7528\u5750\u6807\u7cfb\u6765\u63cf\u8ff0\uff1a <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/quest-ce-quun-systeme-de-coordonnees.webp\" alt=\"\u4ec0\u4e48\u662f\u5750\u6807\u7cfb\" class=\"wp-image-658\" width=\"348\" height=\"346\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u5728\u672c\u4f8b\u4e2d\uff0c\u5e73\u9762\u4f4d\u4e8e\u70b9 (5.3)\u3002\u56e0\u4e3a\u5b83\u7684X\u5750\u6807\u662f5\uff0cY\u5750\u6807\u662f3\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-6042f2d3f2552672e37a208d8f141b0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(5,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u70b9 (0,0) \u79f0\u4e3a<strong>\u5750\u6807\u539f\u70b9<\/strong>\uff0c\u56e0\u4e3a\u5b83\u662f\u5750\u6807\u8f74\u7684\u8d77\u70b9\uff0c\u4e5f\u662f\u5750\u6807\u7cfb\u7684\u53c2\u8003\u70b9\u3002<\/p>\n<p>\u51fa\u4e8e\u597d\u5947\uff0c\u4eba\u4eec\u8ba4\u4e3a\u53d1\u660e\u5750\u6807\u7cfb\u7684\u6570\u5b66\u5bb6\u662f\u6cd5\u56fd\u4eba\u7b1b\u5361\u5c14\u3002\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u5b83\u4e5f\u88ab\u79f0\u4e3a\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"sistema-de-coordenadas-cartesianas-en-el-plano\"><\/span>\u5e73\u9762\u5185\u7684\u7b1b\u5361\u5c14\u5750\u6807\u7cfb<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6211\u4eec\u5728\u4e0a\u4e00\u8282\u4e2d\u770b\u5230\u7684\u56fe\u5f62\u5c5e\u4e8e\u5e73\u9762\u4e2d\u7684\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\u3002\u6211\u4eec\u8bf4\u5b83\u5728\u5e73\u9762\u5185\uff0c\u56e0\u4e3a\u5b83\u662f\u4e00\u4e2a\u4e8c\u7ef4\u7cfb\u7edf\uff0c\u4e5f\u5c31\u662f\u8bf4\u5b83\u53ea\u6709\u4e24\u4e2a\u8f74\uff1aX\u8f74\u548cY\u8f74\u3002<\/p>\n<p> X\u8f74\u5bf9\u5e94\u4e8e\u6c34\u5e73\u5750\u6807\uff0c\u800cY\u8f74\u8868\u793a\u5782\u76f4\u5750\u6807\u3002\u4e0b\u9762\u60a8\u53ef\u4ee5\u770b\u5230\u4ee5\u56fe\u5f62\u65b9\u5f0f\u8868\u793a\u7684\u51e0\u4e2a\u70b9\u53ca\u5176\u5750\u6807\uff1a <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/systeme-de-coordonnees-cartesiennes-du-plan.webp\" alt=\"\u5e73\u9762\u5185\u7684\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\" class=\"wp-image-664\" width=\"401\" height=\"362\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u4ece\u56fe\u4e2d\u53ef\u4ee5\u770b\u51fa\uff0c\u5750\u6807\u662f\u7528\u62ec\u53f7\u6570\u5b57\u8868\u793a\u7684\uff0c\u53e6\u5916\uff0c\u5148\u653eX\u5206\u91cf\uff0c\u7136\u540e\u653eY\u5206\u91cf\uff1a(4,3)\u3002\u6b64\u5916\uff0c\u5750\u6807\u53ef\u4ee5\u662f\u6b63\u6570\u3001\u8d1f\u6570\u6216\u96f6\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u8fd9\u79cd\u5750\u6807\u7cfb\u4e5f\u79f0\u4e3a\u7b1b\u5361\u5c14\u5e73\u9762\u3002<\/p>\n<p>\u6700\u540e\uff0c\u60a8\u5e94\u8be5\u77e5\u9053\u5750\u6807\u8f74\u53ef\u4ee5\u6709\u591a\u79cd\u8868\u793a\u65b9\u5f0f\uff0c\u5c3d\u7ba1\u5b83\u4eec\u7684\u542b\u4e49\u90fd\u662f\u76f8\u540c\u7684\uff1a<\/p>\n<ul>\n<li> X\u8f74\u4e5f\u79f0\u4e3a\u6a2a\u5750\u6807\u8f74\u6216OX\u8f74\u3002<\/li>\n<li> Y \u8f74\u4e5f\u79f0\u4e3a y \u8f74\u6216 OY \u8f74\u3002 <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"sistema-de-coordenadas-cartesianas-en-el-espacio\"><\/span>\u7a7a\u95f4\u7b1b\u5361\u5c14\u5750\u6807\u7cfb<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6211\u4eec\u521a\u521a\u770b\u5230\u4e86\u5982\u4f55\u8868\u793a\u5e73\u9762\u4e2d\u7684\u70b9\uff0c\u5373\u5728\u5177\u6709\u4e24\u4e2a\u8f74\uff08\u4e8c\u7ef4\uff09\u7684\u5750\u6807\u7cfb\u4e2d\u3002\u7136\u800c\uff0c\u73b0\u5b9e\u662f\u7531 3 \u4e2a\u7ef4\u5ea6\uff08\u9ad8\u5ea6\u3001\u5bbd\u5ea6\u548c\u6df1\u5ea6\uff09\u7ec4\u6210\u7684\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u5728\u6b27\u51e0\u91cc\u5f97\u51e0\u4f55\u4e2d\uff0c\u4e09\u7ef4\u7a7a\u95f4\u901a\u5e38\u7531\u5177\u6709\u4e09\u4e2a\u8f74\u7684\u5750\u6807\u7cfb\u8868\u793a\uff0c\u6240\u6709\u8f74\u90fd\u76f8\u4e92\u5782\u76f4\uff1a<\/p>\n<ul>\n<li> X \u8f74\u8868\u793a\u6df1\u5ea6\u3002<\/li>\n<li> Y \u8f74\u8868\u793a\u5bbd\u5ea6\u3002<\/li>\n<li> Z \u8f74\u5bf9\u5e94\u4e8e\u9ad8\u5ea6\u3002 <\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/systeme-de-coordonnees-cartesiennes-dans-lespace.webp\" alt=\"3D \u7a7a\u95f4\u4e2d\u7684\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\" class=\"wp-image-669\" width=\"396\" height=\"419\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u6b63\u5982\u60a8\u5728\u524d\u9762\u7684\u56fe\u5f62\u8868\u793a\u4e2d\u6240\u770b\u5230\u7684\uff0c\u4efb\u4f55\u70b9\u7684\u5750\u6807\u5747\u7531\u76f8\u5173\u70b9\u4e0e\u539f\u70b9 (0,0,0) \u4e4b\u95f4\u7684\u8ddd\u79bb\u5728\u8f74\u4e0a\u7684\u6295\u5f71\u7ed9\u51fa\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"sistema-de-coordenadas-polares\"><\/span>\u6781\u5750\u6807\u7cfb<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\uff082D \u6216 3D\uff09\u4f7f\u7528\u6700\u5e7f\u6cdb\u3002\u4f46\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u4f7f\u7528\u53e6\u4e00\u79cd\u5750\u6807\u7cfb\u53ef\u80fd\u4f1a\u66f4\u65b9\u4fbf\u3002<\/p>\n<p><strong>\u6781\u5750\u6807\u7cfb<\/strong>\u662f\u4e00\u4e2a\u4e8c\u7ef4\u53c2\u8003\u7cfb\uff0c\u5176\u5750\u6807\u4e3a\uff1a<\/p>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3bbd3dad8e9bf4fcf503ee96529d6e22_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{r}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u5750\u6807\u539f\u70b9\u5230\u8be5\u70b9\u7684\u8ddd\u79bb\u3002\u8fd9\u79f0\u4e3a\u5f84\u5411\u5750\u6807\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-312a5a92e31e6e39fb0a2a2f56daa6b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\theta}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f X \u8f74\u4e0e\u7a7f\u8fc7\u8be5\u70b9\u7684\u76f4\u7ebf\u4e0e\u539f\u70b9\u6240\u6210\u7684\u89d2\u5ea6\u3002\u8fd9\u79f0\u4e3a\u89d2\u5750\u6807\u6216\u65b9\u4f4d\u89d2\u5750\u6807\u3002 <\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/systemes-de-coordonnees-polaires.webp\" alt=\"\u6781\u5750\u6807\u7cfb\" class=\"wp-image-679\" width=\"227\" height=\"236\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u60a8\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u7b49\u5f0f\u8f7b\u677e\u4ece\u76f4\u89d2\u5750\u6807\u7cfb\u5207\u6362\u5230\u6781\u5750\u6807\u7cfb\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-197\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ff6f00\"><strong>\u5c06\u6781\u5750\u6807\u8f6c\u6362\u4e3a\u7b1b\u5361\u5c14\u5750\u6807<\/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-0c979a6df1dcce26d502f711cec3bafc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=r\\cdot\\text{cos}(\\theta)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"101\" 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-58c4d1f255bf1b333f5ea096c56cd073_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=r\\cdot\\text{sen}(\\theta)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"101\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ff6f00\"><strong>\u4ece\u7b1b\u5361\u5c14\u5750\u6807\u5207\u6362\u5230\u6781\u5750\u6807<\/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-21d7af3356d5313378cc53ac2ddccb15_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r= \\sqrt{x^2+y^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"107\" 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-d3b6050a358df0d194ba6e0341a7d3e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\theta = \\text{arctan}\\left(\\frac{y}{x}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"117\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"sistema-de-coordenadas-cilindricas\"><\/span>\u5706\u67f1\u5750\u6807\u7cfb<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u67f1\u5750\u6807\u7cfb\u4e0e\u6781\u5750\u6807\u7cfb\u975e\u5e38\u76f8\u4f3c\u3002\u4e8b\u5b9e\u4e0a\uff0c\u5b83\u662f\u540c\u4e00\u4ef6\u4e8b\uff0c\u4f46\u591a\u4e86\u4e00\u4e2a\u5750\u6807\uff1a\u9ad8\u5ea6\u3002<\/p>\n<p>\u56e0\u6b64\uff0c<strong>\u5706\u67f1\u6846\u67b6<\/strong>\u662f\u4e09\u7ef4\u6846\u67b6\uff0c\u4e5f\u5c31\u662f\u8bf4\u5177\u6709 3 \u4e2a\u5750\u6807\uff1a<\/p>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3bbd3dad8e9bf4fcf503ee96529d6e22_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{r}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u70b9\u5728 XY \u5e73\u9762\u4e0a\u7684\u6b63\u4ea4\u6295\u5f71\uff0c\u6216\u8005\u6362\u53e5\u8bdd\u8bf4\uff0c\u662f\u70b9\u5230 Z \u8f74\u7684\u8ddd\u79bb\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-312a5a92e31e6e39fb0a2a2f56daa6b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\theta}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u6b63\u534a\u8f74\u7684\u89d2\u5ea6<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-aa03a29f511592c1a1ecc8b306b0cf0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r.\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-552b9c264efd969e3ec2d40c6863744a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{z}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u70b9\u7684\u9ad8\u5ea6\uff0c\u662f\u7a7a\u95f4\u4e2d\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\u7684\u540c\u5750\u6807\u3002 <\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/systeme-de-coordonnees-cylindrique.webp\" alt=\"\u5706\u67f1\u5750\u6807\u7cfb\" class=\"wp-image-692\" width=\"304\" height=\"316\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u4e0b\u9762\u7684\u516c\u5f0f\u7528\u4e8e\u5c06\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\u8f6c\u6362\u4e3a\u67f1\u5750\u6807\u7cfb\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-200\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ff6f00\"><strong>\u5c06\u67f1\u5750\u6807\u8f6c\u6362\u4e3a\u7b1b\u5361\u5c14\u5750\u6807<\/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-0c979a6df1dcce26d502f711cec3bafc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=r\\cdot\\text{cos}(\\theta)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"101\" 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-58c4d1f255bf1b333f5ea096c56cd073_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=r\\cdot\\text{sen}(\\theta)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"101\" 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-ccad145365777ca8f135037fffb943db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z = z\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ff6f00\"><strong>\u5c06\u7b1b\u5361\u5c14\u5750\u6807\u8f6c\u6362\u4e3a\u67f1\u5750\u6807<\/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-21d7af3356d5313378cc53ac2ddccb15_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r= \\sqrt{x^2+y^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"107\" 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-d3b6050a358df0d194ba6e0341a7d3e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\theta = \\text{arctan}\\left(\\frac{y}{x}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"117\" 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-ccad145365777ca8f135037fffb943db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z = z\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"sistema-de-coordenadas-esfericas\"><\/span>\u7403\u5750\u6807\u7cfb<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u6709\u4e86\u7403\u5750\u6807\u7cfb\u3002\u8fd9\u79cd\u5750\u6807\u7cfb\u4e5f\u4e0e\u6781\u5750\u6807\u548c\u67f1\u5750\u6807\u7cfb\u975e\u5e38\u76f8\u4f3c\uff0c\u5c3d\u7ba1\u663e\u7136\u4e0e\u5b83\u4eec\u6709\u4e00\u4e9b\u533a\u522b\u3002<\/p>\n<p><strong>\u7403\u5750\u6807\u7cfb<\/strong>\u662f\u63cf\u8ff0\u4e09\u7ef4\u6b27\u51e0\u91cc\u5f97\u7a7a\u95f4\u7684\u7cfb\u7edf\uff0c\u56e0\u6b64\uff0c\u5b83\u5177\u6709\u4e09\u4e2a\u5750\u6807\uff1a<\/p>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3bbd3dad8e9bf4fcf503ee96529d6e22_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{r}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u4ece\u539f\u70b9\u5230\u8be5\u70b9\u7684\u8ddd\u79bb\uff08\u4ee5 R3 \u4e3a\u5355\u4f4d\uff09\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-312a5a92e31e6e39fb0a2a2f56daa6b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\theta}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f X \u8f74\u7684\u6b63\u503c\u90e8\u5206\u4e0e\u76f4\u7ebf\u5f62\u6210\u7684\u89d2\u5ea6<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u6295\u5f71\u5230 XY \u5e73\u9762\u3002<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d025a4c6fa30260228557b9899b6ed95_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{\\phi}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u662f Z \u8f74\u6b63\u503c\u90e8\u5206\u4e0e\u76f4\u7ebf\u4e4b\u95f4\u7684\u89d2\u5ea6<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-aa03a29f511592c1a1ecc8b306b0cf0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r.\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/systeme-de-coordonnees-spheriques.webp\" alt=\"\u7403\u5750\u6807\u7cfb\" class=\"wp-image-698\" width=\"321\" height=\"310\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u60a8\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u5728\u7403\u5750\u6807\u548c\u7b1b\u5361\u5c14\u5750\u6807\u4e4b\u95f4\u5207\u6362\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-203\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ff6f00\"><strong>\u5c06\u7403\u5750\u6807\u8f6c\u6362\u4e3a\u7b1b\u5361\u5c14\u5750\u6807<\/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-e77b37ce6c4d5efc6f0ac34e0c6d1cd5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=r\\cdot\\text{cos}(\\theta)\\cdot\\text{sen}(\\phi)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"163\" 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-219ca466e17404eda7a11f1955277863_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=r\\cdot \\text{sen}(\\theta)\\cdot\\text{sen}(\\phi)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"163\" 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-35ab46e7ae38282021bdccc29cfd6d22_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z = r\\cdot\\text{cos}(\\phi)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"102\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ff6f00\"><strong>\u5c06\u7b1b\u5361\u5c14\u5750\u6807\u8f6c\u6362\u4e3a\u7403\u5750\u6807<\/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-94148711df57a647d357b081e42e05a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r= \\sqrt{x^2+y^2+z^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"145\" 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-d3b6050a358df0d194ba6e0341a7d3e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\theta = \\text{arctan}\\left(\\frac{y}{x}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"117\" 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-e170d40bec9371824b72ef026c7c6d87_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\phi = \\text{arctan}\\left(\\frac{\\sqrt{x^2+y^2}}{z}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"189\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"aplicaciones-reales-del-sistema-de-coordenadas\"><\/span>\u5750\u6807\u7cfb\u7684\u5b9e\u9645\u5e94\u7528<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5750\u6807\u7cfb\u5728\u6570\u5b66\u4e2d\u975e\u5e38\u91cd\u8981\uff0c\u56e0\u4e3a\u5b83\u4eec\u4e5f\u5728\u73b0\u5b9e\u751f\u6d3b\u4e2d\u4f7f\u7528\u3002\u4f8b\u5982\uff0c\u5b83\u4eec\u5bf9\u4e8e\u5728\u5730\u56fe\u4e0a\u5b9a\u4f4d\u7269\u4f53\u3001\u4eba\u751a\u81f3\u5730\u70b9\u975e\u5e38\u6709\u7528\u3002\u4e8b\u5b9e\u4e0a\uff0cGPS \u7684\u5b58\u5728\u662f\u56e0\u4e3a\u5750\u6807\u7cfb\uff0c\u56e0\u4e3a\u5b83\u4eec\u7528\u5750\u6807\u7cfb\u6765\u4e86\u89e3\u60a8\u5728\u5730\u7403\u4e0a\u7684\u4f4d\u7f6e\u3002<\/p>\n<p>\u66f4\u51c6\u786e\u5730\u8bf4\uff0cGPS \u5730\u7406\u5750\u6807\u7531\u4e24\u4e2a\u5143\u7d20\u7ec4\u6210\uff1a\u7eac\u5ea6\u548c\u7ecf\u5ea6\u3002\u7eac\u5ea6\uff08\u5317\u6216\u5357\uff09\u548c\u7ecf\u5ea6\uff08\u4e1c\u6216\u897f\uff09\u662f\u4e24\u4e2a\u89d2\u5750\u6807\uff0c\u7528\u4e8e\u6d4b\u91cf\u5730\u7403\u4e2d\u5fc3\u4e0e\u60a8\u6240\u5728\u4f4d\u7f6e\u4e4b\u95f4\u7684\u89d2\u5ea6\u3002\u4e24\u8005\u90fd\u4ee5\u5ea6\u4e3a\u5355\u4f4d\uff0c\u4ee5\u5341\u8fdb\u5236\u6216\u516d\u5341\u8fdb\u5236\u5750\u6807\u8868\u793a\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u6211\u4eec\u89e3\u91ca\u4e86\u4ec0\u4e48\u662f\u5750\u6807\u7cfb\uff0c\u6b64\u5916\uff0c\u60a8\u8fd8\u5c06\u627e\u5230\u6709\u5173\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\u7684\u6240\u6709\u5185\u5bb9\u3002\u60a8\u8fd8\u5c06\u770b\u5230\u5176\u4ed6\u7c7b\u578b\u7684\u5750\u6807\u7cfb\uff08\u6781 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e7%ac%9b%e5%8d%a1%e5%b0%94%e6%9e%81%e6%9f%b1%e7%90%83%e5%9d%90%e6%a0%87%e7%b3%bb\/\"> <span class=\"screen-reader-text\">\u5750\u6807\u7cfb<\/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":[15],"tags":[],"class_list":["post-213","post","type-post","status-publish","format-standard","hentry","category-15"],"yoast_head":"<!-- This site is optimized 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