{"id":424,"date":"2023-06-18T16:35:56","date_gmt":"2023-06-18T16:35:56","guid":{"rendered":"https:\/\/physigeek.com\/cn\/%e7%89%a9%e7%90%86%e7%ab%99\/"},"modified":"2023-06-18T16:35:56","modified_gmt":"2023-06-18T16:35:56","slug":"%e7%89%a9%e7%90%86%e7%ab%99","status":"publish","type":"post","link":"https:\/\/physigeek.com\/cn\/%e7%89%a9%e7%90%86%e7%ab%99\/","title":{"rendered":"\u4f4d\u7f6e\uff08\u7269\u7406\uff09"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7269\u7406\u5b66\u4e2d\u7684\u4f4d\u7f6e\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u4e86\u89e3\u7269\u7406\u4e2d\u4f4d\u7f6e\u7684\u542b\u4e49\u3001\u5176\u8ba1\u7b97\u65b9\u5f0f\u4ee5\u53ca\u4f4d\u7f6e\u4e0e\u5176\u4ed6\u7269\u7406\u6982\u5ff5\u7684\u5173\u7cfb\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-posicion-en-fisica\"><\/span>\u7269\u7406\u5b66\u4e2d\u7684\u4f4d\u7f6e\u662f\u4ec0\u4e48\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u7269\u7406\u5b66\u4e2d\uff0c\u7269\u4f53\u6216\u7c92\u5b50\u7684<strong>\u4f4d\u7f6e<\/strong>\u662f\u5728\u7ed9\u5b9a\u65f6\u95f4\u7684\u4f4d\u7f6e\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5728\u7269\u7406\u5b66\u4e2d\uff0c\u7269\u4f53\u7684\u4f4d\u7f6e\u7528\u4e8e\u5728\u5750\u6807\u7cfb\u4e2d\u5b9a\u4f4d\u7269\u4f53\u3002<\/p>\n<p>\u6b64\u5916\uff0c\u5728\u7269\u7406\u5b66\u4e2d\uff0c\u4f4d\u7f6e\u7528\u4e8e\u63cf\u8ff0\u8eab\u4f53\u7684\u8fd0\u52a8\u3002\u901a\u8fc7\u7528\u5750\u6807\u7cfb\u8868\u793a\u7269\u4f53\u7684\u4f4d\u7f6e\uff0c\u5176\u4f4d\u7f6e\u7531\u6570\u5b57\u5b9a\u4e49\uff0c\u56e0\u6b64\u53ef\u4ee5\u5b9a\u4e49\u7269\u4f53\u4f4d\u7f6e\u7684\u53d8\u5316\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u5728\u7269\u7406\u5b66\u4e2d\uff0c\u7269\u4f53\u7684\u4f4d\u7f6e\u7531\u79f0\u4e3a\u4f4d\u7f6e\u5411\u91cf\u7684\u5411\u91cf\u8868\u793a\u3002\u5728\u4e0b\u4e00\u8282\u4e2d\uff0c\u6211\u4eec\u5c06\u770b\u5230\u4f4d\u7f6e\u5411\u91cf\u7531\u4ec0\u4e48\u7ec4\u6210\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Vector-de-posicion\"><\/span>\u4f4d\u7f6e\u5411\u91cf<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u4f4d\u7f6e\u5411\u91cf<\/strong>\uff0c\u6216\u7b80\u79f0<strong>\u4f4d\u7f6e\u5411\u91cf<\/strong>\uff0c\u662f\u63cf\u8ff0\u53c2\u8003\u7cfb\u4e2d\u70b9\u4f4d\u7f6e\u7684\u5411\u91cf\uff0c\u5373\u4f4d\u7f6e\u5411\u91cf\u7528\u4e8e\u8868\u793a\u5750\u6807\u7cfb\u4e2d\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n<p>\u4ece\u6570\u5b66\u4e0a\u8bb2\uff0c\u70b9\u7684\u4f4d\u7f6e\u5411\u91cf\u5b9a\u4e49\u4e3a\u4ece\u5750\u6807\u539f\u70b9\u5230\u8be5\u70b9\u7684\u5411\u91cf\u3002\u56e0\u6b64\uff0c\u901a\u8fc7\u5c06\u8be5\u70b9\u7684\u5750\u6807\u51cf\u53bb\u539f\u70b9\u5750\u6807\u6765\u8ba1\u7b97\u8be5\u70b9\u7684\u4f4d\u7f6e\u5411\u91cf\u3002\u56e0\u6b64\uff0c\u4f4d\u7f6e\u5411\u91cf\u7684\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-227dd77db327b76f3f47e99a5d56c3e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r}=PO\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"60\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u91d1\u5b50<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-fda1e51b12ba3624074fcbebad72b1fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u8ba1\u7b97\u4f4d\u7f6e\u5411\u91cf\u7684\u70b9\uff0c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-5fd89de58d79b25e5ca6ae69a6ff464b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"O\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u53c2\u8003\u7cfb\u5750\u6807\u7684\u539f\u70b9\u3002<\/p>\n<p>\u70b9\u7684\u4f4d\u7f6e\u5411\u91cf\u7684\u5750\u6807\u7528\u5355\u4f4d\u5411\u91cf\u8868\u793a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-0b35266aff72392f18054a3ee0726b72_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{i}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p>,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-e64160920c9450edf06e8f621fe04ba2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{j}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u548c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-c04df108648dbd0ef793690ce20b8b96_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{k}[ \/latex], qui repr\u00e9sentent respectivement les directions des axes OX, OY et OZ. [latex]\\vv{r}=x\\vv{i}+y\\vv{j}+z\\vv{k}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"674\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u67d0\u70b9\u7684\u7b1b\u5361\u5c14\u5750\u6807\u4e3a(3,4,5)\uff0c\u5219\u8be5\u70b9\u7684\u4f4d\u7f6e\u5411\u91cf\u4e3ar=3i+4j+5k\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/vecteur-de-position.png\" alt=\"\u4f4d\u7f6e\u5411\u91cf\u793a\u4f8b\" class=\"wp-image-7644\" width=\"374\" height=\"308\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/vecteur-de-position-300x247.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/vecteur-de-position.png 697w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p>\u6b63\u5982\u60a8\u5728\u524d\u9762\u7684\u793a\u4f8b\u4e2d\u6240\u770b\u5230\u7684\uff0c\u4f4d\u7f6e\u77e2\u91cf\u7684\u65b9\u5411\u662f\u5c06\u53c2\u8003\u7cfb\u7684\u539f\u70b9\u4e0e\u76f8\u5173\u70b9\u8fde\u63a5\u8d77\u6765\u7684\u7ebf\uff0c\u53e6\u4e00\u65b9\u9762\uff0c\u4f4d\u7f6e\u77e2\u91cf\u7684\u65b9\u5411\u662f\u4ece\u539f\u70b9\u5230\u70b9\u6709\u95ee\u9898\u3002\u7814\u7a76\u70b9\u3002<\/p>\n<p>\u70b9\u7684\u4f4d\u7f6e\u5411\u91cf\u7684\u5927\u5c0f\u662f\u8be5\u70b9\u4e0e\u5750\u6807\u539f\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002\u56e0\u6b64\uff0c\u4f4d\u7f6e\u5411\u91cf\u7684\u8303\u6570\u7b49\u4e8e\u5176\u5750\u6807\u5e73\u65b9\u548c\u7684\u5e73\u65b9\u6839\u3002<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-4e00e2651473f9b281caa2edb84af61b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"|\\vv{r}|=\\sqrt{x^2+y^2+z^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"153\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u8bf7\u6ce8\u610f\uff0c\u5982\u679c\u6211\u4eec\u5728\u5e73\u9762\u4e0a\u5de5\u4f5c\uff0c\u4f4d\u7f6e\u5411\u91cf\u5c06\u53ea\u6709\u4e24\u4e2a\u5750\u6807 (x,y)\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u5982\u679c\u6211\u4eec\u5728\u7a7a\u95f4\u4e2d\u5de5\u4f5c\uff0c\u4f4d\u7f6e\u5411\u91cf\u5c06\u5177\u6709\u4e09\u4e2a\u5750\u6807\uff08x\uff0cy\uff0cz\uff09\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u53c2\u89c1\uff1a<\/strong><a href=\"https:\/\/physigeek.com\/cn\">\u4f4d\u7f6e\u77e2\u91cf\u8ba1\u7b97\u793a\u4f8b<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Posicion-y-desplazamiento\"><\/span>\u4f4d\u7f6e\u548c\u504f\u79fb<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u672c\u8282\u4e2d\uff0c\u6211\u4eec\u5c06\u4e86\u89e3\u7269\u7406\u5b66\u4e2d\u7684\u4f4d\u79fb\u662f\u4ec0\u4e48\u4ee5\u53ca\u5b83\u4e0e\u7269\u4f53\u7684\u4f4d\u7f6e\u6709\u4f55\u5173\u7cfb\u3002<\/p>\n<p>\u5728\u7269\u7406\u5b66\u4e2d\uff0c<strong>\u4f4d\u79fb<\/strong>\u662f\u6307\u8eab\u4f53\u6216\u7269\u4f53\u4f4d\u7f6e\u7684\u53d8\u5316\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u7269\u4f53\u7684\u4f4d\u79fb\u662f\u901a\u8fc7\u51cf\u53bb\u5176\u6700\u7ec8\u4f4d\u7f6e\u51cf\u53bb\u5176\u521d\u59cb\u4f4d\u7f6e\u6765\u8ba1\u7b97\u7684\u3002\u56e0\u6b64\uff0c\u8ba1\u7b97\u4f4d\u79fb\u7684\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-5d3939f1528e9a354c39bc01ca2925a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta \\vv{r}=\\vv{r_f}-\\vv{r_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"98\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\">\u91d1\u5b50\uff1a <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-bd163374155626fffded43e0d746c686_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta \\vv{r}\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"23\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u4f4d\u7f6e\u5411\u91cf\u7684\u504f\u79fb\u91cf\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-e1b02810b572e656acf95dc5bb7f0c9d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r_f}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"16\" style=\"vertical-align: -6px;\"><\/p>\n<p>\u662f\u6700\u7ec8\u4f4d\u7f6e\u7684\u4f4d\u7f6e\u5411\u91cf\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-7eae0c03c02ab63fa29f02150a8bedf4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"13\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u521d\u59cb\u4f4d\u7f6e\u7684\u4f4d\u7f6e\u5411\u91cf\u3002 <\/span><\/li>\n<\/ul>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/physigeek.com\/cn\/\u8eab\u4f53\u8fd0\u52a8\/\">\u4ec0\u4e48\u662f\u4f4d\u79fb\uff1f \uff08\u8eab\u4f53\u7684\uff09<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Posicion-y-distancia\"><\/span>\u4f4d\u7f6e\u548c\u8ddd\u79bb<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u7269\u7406\u5b66\u4e2d\uff0c<strong>\u4e24\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb<\/strong>\u662f\u8fde\u63a5\u4e24\u70b9\u7684\u5411\u91cf\u7684\u8303\u6570\u3002\u56e0\u6b64\uff0c\u53ef\u4ee5\u901a\u8fc7\u8ba1\u7b97\u70b9\u4e4b\u95f4\u7684\u4f4d\u79fb\u77e2\u91cf\u7684\u5927\u5c0f\u6765\u786e\u5b9a\u4e24\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\uff0c\u56e0\u4e3a\u4f4d\u79fb\u77e2\u91cf\u662f\u8fde\u63a5\u4e24\u4e2a\u4e0d\u540c\u4f4d\u7f6e\u7684\u77e2\u91cf\u3002<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-75dc5dcfde010c68a3d5e0d59fc3f5b9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d_{AB}=|\\Delta \\vv{r}_{AB}|=\\sqrt{(x_B-x_A)^2+(y_B-y_A)^2(z_B-z_A)^2}[\/ latex] O\u00f9:\n\n<ul style=&quot;color:#4fd12f; font-weight: bold;&quot;>\n<li style=&quot;margin-bottom:5px&quot;> <span style=&quot;color:#101010;font-weight: normal;&quot;>[latex]d_{AB}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;87&#8243; width=&#8221;582&#8243; style=&#8221;vertical-align: -5px;&#8221;><\/p>\n<p>\u662f A \u70b9\u548c B \u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002 <\/p>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-7d2e05edcc86b6c52046c42e1ef45b04_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta \\vv{r}_{AB}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"44\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662fA\u70b9\u548cB\u70b9\u4e4b\u95f4\u7684\u4f4d\u79fb\u77e2\u91cf\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-c6ccb392fef5508c79e5ce51ef6c7baf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_A, y_A, z_A\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"75\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u662fA\u70b9\u7684X\u3001Y\u3001Z\u5750\u6807\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-b425d4bb21c7a8701dd00fec1c581455_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_B, y_B, z_B\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"77\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u662fB\u70b9\u7684X\u3001Y\u3001Z\u5750\u6807\u3002<\/span><\/li>\n<p>\u7136\u800c\uff0c\u4e24\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\u7684\u6982\u5ff5\u548c\u884c\u9a76\u8ddd\u79bb\u7684\u6982\u5ff5\u5fc5\u987b\u533a\u5206\uff0c\u56e0\u4e3a\u5b83\u4eec\u662f\u4e0d\u540c\u7684\u8ddd\u79bb\u3002<\/p>\n<p><strong>\u884c\u8fdb\u8ddd\u79bb<\/strong>\u662f\u6307\u7269\u4f53\u4ece\u4e00\u70b9\u5230\u53e6\u4e00\u70b9\u6240\u884c\u8fdb\u7684\u8ddd\u79bb\uff0c\u5373\u884c\u8fdb\u8ddd\u79bb\u662f\u7269\u4f53\u6240\u8d70\u8fc7\u7684\u6574\u4e2a\u8def\u5f84\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/deplacement-et-distance.png\" alt=\"\u884c\u9a76\u8ddd\u79bb\u548c\u4f4d\u79fb\" class=\"wp-image-7836\" width=\"280\" height=\"219\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/deplacement-et-distance-300x234.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/deplacement-et-distance.png 424w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p>\u56e0\u6b64\uff0c<strong>\u884c\u8fdb\u7684\u8ddd\u79bb\u4e0e\u4e24\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\u7684\u533a\u522b<\/strong>\u5728\u4e8e\uff0c\u884c\u8fdb\u7684\u8ddd\u79bb\u662f\u884c\u8fdb\u7684\u6574\u4e2a\u8def\u5f84\u7684\u957f\u5ea6\uff0c\u800c\u4e24\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\u662f\u6700\u7ec8\u4f4d\u7f6e\u4e0e\u521d\u59cb\u4f4d\u7f6e\u4e4b\u95f4\u7684\u8ddd\u79bb\uff0c\u76f8\u5f53\u4e8e\u4f4d\u79fb\u6a21\u91cf\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/physigeek.com\/cn\/\u7269\u7406\u8ddd\u79bb\/\">\u7269\u7406\u5b66\u4e2d\u7684\u8ddd\u79bb\u662f\u4ec0\u4e48\uff1f<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Posicion-y-velocidad\"><\/span>\u4f4d\u7f6e\u548c\u901f\u5ea6<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u5c06\u4e86\u89e3\u7269\u4f53\u7684\u4f4d\u7f6e\u4e0e\u5176\u901f\u5ea6\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u56e0\u4e3a\u7269\u4f53\u7684\u901f\u5ea6\u53ef\u4ee5\u4ece\u5176\u4f4d\u7f6e\u65b9\u7a0b\u8ba1\u7b97\u51fa\u6765\u3002<\/p>\n<p>\u6b63\u5982\u6211\u4eec\u5728\u4e0a\u9762\u770b\u5230\u7684\uff0c\u4f4d\u7f6e\u5411\u91cf\u662f\u4e00\u4e2a\u544a\u8bc9\u6211\u4eec\u7279\u5b9a\u65f6\u95f4\u7269\u4f53\u5750\u6807\u7684\u5411\u91cf\u3002<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-f75044a0a175ed54f5513df2e91b2573_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r}=x\\vv{i}+y\\vv{j}+z\\vv{k}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"127\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u7269\u4f53\u77ac\u65f6\u4f4d\u7f6e\u968f\u65f6\u95f4\u53d8\u5316\u7684\u65b9\u7a0b\u662f\u4e00\u4e2a\u53ef\u4ee5\u8ba9\u6211\u4eec\u786e\u5b9a\u4efb\u610f\u65f6\u523b\u7269\u4f53\u4f4d\u7f6e\u7684\u516c\u5f0f\uff1a<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-7963fb834241aded239d9fa4e4fff290_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r}(t)=x(t)\\vv{i}+y(t)\\vv{j}+z(t)\\vv{k}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"208\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u7269\u4f53\u7684\u77ac\u65f6\u901f\u5ea6\u65b9\u7a0b\u7b49\u4e8e\u77ac\u65f6\u4f4d\u7f6e\u65b9\u7a0b\u7684\u65f6\u95f4\u5bfc\u6570\uff1a<\/p>\n<pre class=\"ql-errors\"> *** QuickLaTeX cannot compile formula:\n\\begin{aligned}\\vv{v}(t)&amp;=\\cfrac{d\\vv{r}(t)}{dt}\\\\[2ex]\\vv{v}(t)&amp;=\\ cfrac{dx (t)}{dt}\\vv{i}+\\cfrac{dy(t)}{dt}\\vv{j}+\\cfrac{dz(t)}{dt}\\vv{k}\\ end{aligned }\n\n*** Error message:\nPackage amsmath Error: \\begin{aligned} allowed only in math mode.\nleading text: \\begin{aligned}\\vv\nMissing $ inserted.\nleading text: \\begin{aligned}\\vv\nUndefined control sequence \\vv.\nleading text: \\begin{aligned}\\vv\nPlease use \\mathaccent for accents in math mode.\nleading text: ...\\vv{j}+\\cfrac{dz(t)}{dt}\\vv{k}\\ end{aligned\nMissing $ inserted.\nleading text: \\end{document}\nMissing } inserted.\nleading text: \\end{document}\nMissing } inserted.\nleading text: \\end{document}\nMissing \\cr inserted.\nleading text: \\end{document}\nMissing { inserted.\nleading text: \\end{document}\nMissing $ inserted.\nleading text: \\end{document}\n\\begin{aligned} on input line 8 ended by \\end{document}.\nleading text: \\end{document}\nYou can't use `\\end' in internal vertical mode.\n\n<\/pre>\n<p>\u56e0\u6b64\uff0c\u8981\u8ba1\u7b97\u7269\u4f53\u5728\u7279\u5b9a\u65f6\u523b\u7684\u77ac\u65f6\u901f\u5ea6\uff0c\u5fc5\u987b\u9996\u5148\u63a8\u5bfc\u5176\u4f4d\u7f6e\u65b9\u7a0b\uff0c\u7136\u540e\u5c06\u77ac\u65f6\u503c\u4ee3\u5165\u5f97\u5230\u7684\u8868\u8fbe\u5f0f\u4e2d\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/physigeek.com\/cn\">\u901f\u5ea6\u7c7b\u578b<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7269\u7406\u5b66\u4e2d\u7684\u4f4d\u7f6e\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u4e86\u89e3\u7269\u7406\u4e2d\u4f4d\u7f6e\u7684\u542b\u4e49\u3001\u5176\u8ba1\u7b97\u65b9\u5f0f\u4ee5\u53ca\u4f4d\u7f6e\u4e0e\u5176\u4ed6\u7269\u7406\u6982\u5ff5\u7684\u5173\u7cfb\u3002 \u7269\u7406\u5b66\u4e2d\u7684 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/cn\/%e7%89%a9%e7%90%86%e7%ab%99\/\"> <span class=\"screen-reader-text\">\u4f4d\u7f6e\uff08\u7269\u7406\uff09<\/span> \u67e5\u770b\u5168\u6587 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[3],"tags":[],"class_list":["post-424","post","type-post","status-publish","format-standard","hentry","category-3"],"yoast_head":"<!-- This site is optimized 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