{"id":413,"date":"2023-06-19T02:27:02","date_gmt":"2023-06-19T02:27:02","guid":{"rendered":"https:\/\/physigeek.com\/cn\/%e7%9e%ac%e6%97%b6%e9%80%9f%e5%ba%a6\/"},"modified":"2023-06-19T02:27:02","modified_gmt":"2023-06-19T02:27:02","slug":"%e7%9e%ac%e6%97%b6%e9%80%9f%e5%ba%a6","status":"publish","type":"post","link":"https:\/\/physigeek.com\/cn\/%e7%9e%ac%e6%97%b6%e9%80%9f%e5%ba%a6\/","title":{"rendered":"\u5373\u65f6\u901f\u5ea6"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7269\u7406\u5b66\u4e2d\u7684\u77ac\u65f6\u901f\u5ea6\u3002\u540c\u6837\uff0c\u60a8\u5c06\u5b66\u4e60\u5982\u4f55\u8ba1\u7b97\u77ac\u65f6\u901f\u5ea6\u3001\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\u4ee5\u53ca\u77ac\u65f6\u901f\u5ea6\u4e0e\u5176\u4ed6\u7269\u7406\u6982\u5ff5\u4e4b\u95f4\u7684\u5dee\u5f02\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-rapidez-instantanea\"><\/span>\u4ec0\u4e48\u662f\u77ac\u65f6\u901f\u5ea6\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u77ac\u65f6\u901f\u5ea6<\/strong>\u662f\u8fd0\u52a8\u7269\u4f53\u5728\u7ed9\u5b9a\u77ac\u95f4\u7684\u901f\u5ea6\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u7269\u4f53\u7684\u77ac\u65f6\u901f\u5ea6\u662f\u5176\u5728\u5355\u4e2a\u77ac\u95f4\u7684\u901f\u5ea6\uff0c\u800c\u4e0d\u662f\u5728\u5f88\u957f\u4e00\u6bb5\u65f6\u95f4\u5185\u7684\u901f\u5ea6\u3002<\/p>\n<p>\u4e0e\u5e73\u5747\u901f\u5ea6\u4e0d\u540c\uff0c\u7269\u4f53\u7684\u77ac\u65f6\u901f\u5ea6\u968f\u65f6\u53ef\u80fd\u53d1\u751f\u53d8\u5316\u3002\u56e0\u6b64\uff0c\u5f53\u6211\u4eec\u7814\u7a76\u77ac\u65f6\u901f\u5ea6\u65f6\uff0c\u6211\u4eec\u5206\u6790\u7684\u662f\u7269\u4f53\u5728\u7279\u5b9a\u77ac\u95f4\u7684\u901f\u5ea6\uff0c\u800c\u4e0d\u662f\u5f88\u957f\u4e00\u6bb5\u65f6\u95f4\u95f4\u9694\u7684\u901f\u5ea6\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u7269\u4f53\u5728\u65f6\u95f4t=7s\u65f6\u8fd0\u52a8\u7684\u77ac\u65f6\u901f\u5ea6\u7b49\u4e8e5m\/s\uff0c\u5219\u8fd9\u610f\u5473\u7740\u8be5\u7269\u4f53\u5728\u65f6\u95f4t=7s\u65f6\u4ee55m\/s\u7684\u901f\u5ea6\u8fd0\u52a8\u3002\u4f46\u5728\u4e0b\u4e00\u523b\uff0c\u77ac\u65f6\u901f\u5ea6\u53ef\u4ee5\u6709\u4efb\u4f55\u5176\u4ed6\u503c\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-rapidez-instantanea\"><\/span>\u77ac\u65f6\u901f\u5ea6\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4ece\u6570\u5b66\u4e0a\u8bb2\uff0c\u77ac\u65f6\u901f\u5ea6\u5b9a\u4e49\u4e3a\u65f6\u95f4\u95f4\u9694\u63a5\u8fd1\u96f6\u65f6\u5e73\u5747\u901f\u5ea6\u7684\u6781\u9650\u3002\u56e0\u6b64\uff0c\u77ac\u65f6\u901f\u5ea6\u7b49\u4e8e\u4f4d\u7f6e\u65b9\u7a0b\u5bf9\u65f6\u95f4\u7684\u5bfc\u6570\u3002<\/p>\n<p>\u56e0\u6b64\uff0c<strong>\u77ac\u65f6\u901f\u5ea6\u7684\u8ba1\u7b97\u516c\u5f0f<\/strong>\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-92ed75694286f92f19083b24e7db4856_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r_i=\\lim_{\\Delta t\\to 0}r_m=\\lim_{\\Delta t\\to 0}\\frac{\\Delta x}{\\Delta t}=\\frac{dx}{dt} \" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"236\" style=\"vertical-align: -13px;\"><\/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-832d7d2bfd450205d3065441d06d6e60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"13\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u77ac\u65f6\u901f\u5ea6\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-2ef62c33fe7e88209462c4dd38d7ec22_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r_m\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"20\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u5e73\u5747\u901f\u5ea6\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-e936d3a449e3ecae93ebb5ae1e61feac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta x\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"25\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u4f4d\u7f6e\u7684\u53d8\u5316\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-819ab50990df5adf82bea9dfa75ffff2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Delta t\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u8d8b\u4e8e0\u7684\u65f6\u95f4\u95f4\u9694\uff0c\u5373\u65e0\u9650\u5c0f\u7684\u65f6\u95f4\u95f4\u9694\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-2ddd47e3ca9359bab9338ab29fe59f9d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{dx}{dt}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"20\" style=\"vertical-align: -12px;\"><\/p>\n<p>\u662f\u8eab\u4f53\u4f4d\u7f6e\u76f8\u5bf9\u4e8e\u65f6\u95f4\u7684\u5bfc\u6570\u3002 <\/span><\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-resuelto-de-la-rapidez-instantanea\"><\/span>\u77ac\u65f6\u901f\u5ea6\u7684\u771f\u5b9e\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e00\u65e6\u6211\u4eec\u4e86\u89e3\u4e86\u77ac\u65f6\u901f\u5ea6\u7684\u5b9a\u4e49\u53ca\u5176\u516c\u5f0f\u662f\u4ec0\u4e48\uff0c\u6211\u4eec\u5c06\u901a\u8fc7\u4e00\u4e2a\u5177\u4f53\u7684\u4f8b\u5b50\u6765\u6e05\u695a\u5730\u7406\u89e3\u5b83\u662f\u5982\u4f55\u8ba1\u7b97\u7684\u3002<\/p>\n<ul>\n<li>\u8fd0\u52a8\u7c92\u5b50\u7684\u4f4d\u7f6e\u7531\u4ee5\u4e0b\u65b9\u7a0b\u5b9a\u4e49\uff1a\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-a204471bca12b722bec0f12d80688e70_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x(t)=t^2+5t+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"135\" style=\"vertical-align: -5px;\"><\/p>\n<p> \uff0c\u7b2c\u4e8c\u4e2a t=4s \u65f6\u7c92\u5b50\u7684\u77ac\u65f6\u901f\u5ea6\u662f\u591a\u5c11\uff1f<\/li>\n<\/ul>\n<p>\u6211\u4eec\u9700\u8981\u505a\u7684\u7b2c\u4e00\u4ef6\u4e8b\u662f\u63a8\u5bfc\u4f4d\u7f6e\u4e0e\u65f6\u95f4\u7684\u65b9\u7a0b\uff0c\u4ee5\u4fbf\u627e\u5230\u77ac\u65f6\u901f\u5ea6\u7684\u65b9\u7a0b\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-a204471bca12b722bec0f12d80688e70_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x(t)=t^2+5t+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"135\" style=\"vertical-align: -5px;\"><\/p>\n<\/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-10864c333ac217322b9759843128e1c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r_i(t)=\\cfrac{dx}{dt}=2t+5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"147\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u77e5\u9053\u4e86\u5b9a\u4e49\u77ac\u65f6\u901f\u5ea6\u7684\u8868\u8fbe\u5f0f\uff0c\u6211\u4eec\u53ea\u9700\u5c06\u65f6\u523b t=4 s \u4ee3\u5165\u65b9\u7a0b\u5e76\u8fdb\u884c\u8ba1\u7b97\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-7e16bc611f6c74a17d5f5b2e315a0775_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r_i(4)=2\\cdot 4+5=13 \\ \\cfrac{m}{s}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"186\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Rapidez-instantanea-y-velocidad-instantanea\"><\/span>\u77ac\u65f6\u901f\u5ea6\u548c\u77ac\u65f6\u901f\u5ea6<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u63a5\u4e0b\u6765\u6211\u4eec\u5c06\u4e86\u89e3\u77ac\u65f6\u901f\u5ea6\u548c\u77ac\u65f6\u901f\u5ea6\u4e4b\u95f4\u7684\u533a\u522b\uff0c\u56e0\u4e3a\u8fd9\u662f\u4e24\u4e2a\u7ecf\u5e38\u6df7\u6dc6\u7684\u7269\u7406\u6982\u5ff5\u3002<\/p>\n<p>\u901f\u5ea6\u548c\u901f\u7387\u4e4b\u95f4\u7684\u5dee\u5f02\u53d6\u51b3\u4e8e\u60a8\u7684\u8ba1\u7b97\u3002\u56e0\u6b64\uff0c\u901f\u5ea6\u7b49\u4e8e\u884c\u8fdb\u7684\u8ddd\u79bb\u9664\u4ee5\u7ecf\u8fc7\u7684\u65f6\u95f4\uff0c\u800c\u901f\u5ea6\u7684\u8ba1\u7b97\u65b9\u6cd5\u662f\u7528\u4f4d\u79fb\u9664\u4ee5\u7ecf\u8fc7\u7684\u65f6\u95f4\u95f4\u9694\u3002<\/p>\n<p>\u56e0\u6b64\uff0c<strong>\u77ac\u65f6\u901f\u5ea6\u548c\u77ac\u65f6\u901f\u5ea6\u7684\u533a\u522b\u5728\u4e8e<\/strong>\uff0c\u77ac\u65f6\u901f\u5ea6\u662f\u6839\u636e\u4f4d\u7f6e\u7684\u53d8\u5316\u6765\u8ba1\u7b97\u7684\uff0c\u800c\u77ac\u65f6\u901f\u5ea6\u662f\u6839\u636e\u4f4d\u79fb\u6765\u8ba1\u7b97\u7684\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\/\u8ddd\u79bb\u548c\u504f\u79fb\/\">\u884c\u9a76\u8ddd\u79bb\u548c\u4f4d\u79fb\u4e4b\u95f4\u7684\u5dee\u5f02<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Rapidez-instantanea-y-rapidez-media\"><\/span>\u77ac\u65f6\u901f\u5ea6\u548c\u5e73\u5747\u901f\u5ea6<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u5c06\u770b\u5230\u77ac\u65f6\u901f\u5ea6\u548c\u5e73\u5747\u901f\u5ea6\u4e4b\u95f4\u6709\u4ec0\u4e48\u533a\u522b\uff0c\u56e0\u4e3a\u8fd9\u662f\u6211\u4eec\u5fc5\u987b\u77e5\u9053\u5982\u4f55\u533a\u5206\u7684\u4e24\u79cd\u901f\u5ea6\u3002<\/p>\n<p><strong>\u5e73\u5747\u901f\u5ea6<\/strong>\u662f\u7269\u4f53\u5728\u6574\u4e2a\u8def\u5f84\u4e0a\u4ee5\u6052\u5b9a\u901f\u5ea6\u79fb\u52a8\u65f6\u6539\u53d8\u4f4d\u7f6e\u7684\u901f\u5ea6\u3002<\/p>\n<p><strong>\u77ac\u65f6\u901f\u5ea6\u548c\u5e73\u5747\u901f\u5ea6\u4e4b\u95f4\u7684\u533a\u522b<\/strong>\u5728\u4e8e\uff0c\u77ac\u65f6\u901f\u5ea6\u662f\u7269\u4f53\u5728\u7ed9\u5b9a\u65f6\u95f4\u7684\u901f\u5ea6\u3002\u7136\u800c\uff0c\u5e73\u5747\u901f\u5ea6\u662f\u7269\u4f53\u5728\u6574\u4e2a\u65f6\u95f4\u5185\u4ee5\u6052\u5b9a\u901f\u5ea6\u6539\u53d8\u4f4d\u7f6e\u65f6\u6240\u5177\u6709\u7684\u901f\u5ea6\u3002\u6574\u4e2a\u8f68\u8ff9\u3002<\/p>\n<p>\u5b9e\u9645\u4e0a\uff0c\u77ac\u65f6\u901f\u5ea6\u662f\u975e\u5e38\u5c0f\u7684\u65f6\u95f4\u95f4\u9694\u7684\u5e73\u5747\u901f\u5ea6\uff0c\u5c0f\u5230\u53ef\u4ee5\u88ab\u89c6\u4e3a\u5355\u4e2a\u77ac\u95f4\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\">\u5e73\u5747\u901f\u5ea6<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7269\u7406\u5b66\u4e2d\u7684\u77ac\u65f6\u901f\u5ea6\u3002\u540c\u6837\uff0c\u60a8\u5c06\u5b66\u4e60\u5982\u4f55\u8ba1\u7b97\u77ac\u65f6\u901f\u5ea6\u3001\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\u4ee5\u53ca\u77ac\u65f6\u901f\u5ea6\u4e0e\u5176\u4ed6\u7269\u7406\u6982\u5ff5\u4e4b\u95f4\u7684\u5dee\u5f02 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/cn\/%e7%9e%ac%e6%97%b6%e9%80%9f%e5%ba%a6\/\"> <span class=\"screen-reader-text\">\u5373\u65f6\u901f\u5ea6<\/span> \u67e5\u770b\u5168\u6587 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