{"id":28437,"date":"2021-09-03T13:00:57","date_gmt":"2021-09-03T13:00:57","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=28437"},"modified":"2024-09-16T11:45:59","modified_gmt":"2024-09-16T11:45:59","slug":"%e5%8c%80%e9%80%9f%e7%9b%b4%e7%ba%bf%e8%bf%90%e5%8a%a8-m-r-u","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/zh\/%e5%8c%80%e9%80%9f%e7%9b%b4%e7%ba%bf%e8%bf%90%e5%8a%a8-m-r-u\/","title":{"rendered":"\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8 (M.R.U.)"},"content":{"rendered":"<p><center><\/p>\n<h1>\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8 (M.R.U.)<\/h1>\n<p><\/center><br \/>\n<center><em><strong>\u6982\u8981\uff1a<\/strong><\/p>\n<p>\u5728\u8fd9\u8282\u8bfe\u4e2d\uff0c\u6211\u4eec\u5c06\u91cd\u70b9\u7814\u7a76\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8\u65b9\u7a0b\u7684\u5e94\u7528\uff0c\u8fd9\u5bf9\u4e8e\u7406\u89e3\u7269\u4f53\u4ee5\u6052\u5b9a\u901f\u5ea6\u8fd0\u52a8\u81f3\u5173\u91cd\u8981\u3002\u6211\u4eec\u5c06\u590d\u4e60 <span class=\"katex-eq\" data-katex-display=\"false\">\\hat{x}<\/span> \u8f74\u4e0a\u7684\u65b9\u7a0b\uff0c\u5e76\u67e5\u770b\u5f53\u52a0\u901f\u5ea6\u4e3a\u96f6\u65f6\u7684\u7b80\u5316\uff0c\u4ece\u800c\u8ba9\u6211\u4eec\u53ef\u4ee5\u6839\u636e\u901f\u5ea6\u548c\u521d\u59cb\u4f4d\u7f6e\u8ba1\u7b97\u7269\u4f53\u7684\u4f4d\u7f6e\u3002\u6700\u540e\uff0c\u6211\u4eec\u5c06\u901a\u8fc7\u4f8b\u5b50\u548c\u5b9e\u9645\u7ec3\u4e60\u6765\u5e94\u7528\u8fd9\u4e9b\u6982\u5ff5\u3002<\/p>\n<p><\/em><br \/>\n<\/center><\/p>\n<p><center><strong><u>\u5b66\u4e60\u76ee\u6807<\/u><\/strong><\/p>\n<p>\u5b8c\u6210\u8fd9\u8282\u8bfe\u540e\uff0c\u5b66\u751f\u5e94\u8be5\u80fd\u591f\uff1a<\/p>\n<p><\/center><\/p>\n<ol>\n<li><strong>\u7406\u89e3<\/strong>\u8fd0\u52a8\u65b9\u7a0b\uff1a\u8bc6\u522b\u5e76\u7406\u89e3\u8fd0\u52a8\u65b9\u7a0b\uff0c\u7279\u522b\u662f <span class=\"katex-eq\" data-katex-display=\"false\">\\hat{x}<\/span> \u8f74\u4e0a\u7684\u65b9\u7a0b\uff0c\u4ee5\u53ca\u5b83\u4eec\u5728\u63cf\u8ff0\u7269\u4f53\u8fd0\u52a8\u4e2d\u7684\u5e94\u7528\u3002<\/li>\n<li><strong>\u5e94\u7528<\/strong>\u65b9\u7a0b\u5230\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8\uff1a\u5b66\u4e60\u5982\u4f55\u5728\u52a0\u901f\u5ea6\u4e3a\u96f6\u7684\u60c5\u51b5\u4e0b\u7b80\u5316\u8fd0\u52a8\u65b9\u7a0b\uff0c\u4ee5\u63cf\u8ff0\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8\u3002<\/li>\n<li><strong>\u8bc6\u522b<\/strong>\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8\u7684\u7279\u5f81\uff1a\u77e5\u9053\u5728\u8fd9\u79cd\u8fd0\u52a8\u4e2d\uff0c\u7269\u4f53\u7684\u65b9\u5411\u548c\u901f\u5ea6\u4fdd\u6301\u4e0d\u53d8\u3002<\/li>\n<li><strong>\u8ba1\u7b97<\/strong>\u7269\u4f53\u7684\u4f4d\u7f6e\uff1a\u4f7f\u7528\u8fd0\u52a8\u65b9\u7a0b\u786e\u5b9a\u5728\u4efb\u4f55\u65f6\u523b\u7269\u4f53\u7684\u4f4d\u7f6e\uff0c\u7ed9\u5b9a\u5b83\u7684\u521d\u59cb\u4f4d\u7f6e\u548c\u901f\u5ea6\u3002<\/li>\n<\/ol>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/_bLJLf9dNfY\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/center><\/p>\n<h2>M.R.U. \u7684\u8fd0\u52a8\u65b9\u7a0b<\/h2>\n<p style=\"text-align: justify;\">\u5728<a href=\"http:\/\/toposuranos.com\/material\/es\/cinematica\/\" rel=\"noopener\" target=\"_blank\">\u4e0a\u4e00\u8282\u8bfe<\/a>\u4e2d\uff0c\u6211\u4eec\u56de\u987e\u4e86\u63cf\u8ff0\u7269\u4f53\u8fd0\u52a8\u7684\u65b9\u7a0b\u7684\u63a8\u7406\u3002\u73b0\u5728\u662f\u65f6\u5019\u5c06\u5b83\u4eec\u653e\u5728\u4e00\u4e9b\u7b80\u5355\u73b0\u8c61\u7684\u80cc\u666f\u4e2d\u4ee5\u5f00\u59cb\u7ec3\u4e60\u3002\u6700\u7b80\u5355\u7684\u73b0\u8c61\u4e4b\u4e00\u5c31\u662f\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8\u3002<\/p>\n<p style=\"text-align: justify;\">\u5728\u7ee7\u7eed\u4e4b\u524d\uff0c\u8ba9\u6211\u4eec\u56de\u5fc6\u4e00\u4e0b\u8fd0\u52a8\u65b9\u7a0b\u7684\u5f62\u5f0f\u3002\u5bf9\u4e8e\u5750\u6807\u8f74 <span class=\"katex-eq\" data-katex-display=\"false\">\\hat{x}<\/span>\uff0c\u8fd9\u4e9b\u65b9\u7a0b\u662f\uff1a<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rcl}\n\na_x (t) &amp; = &amp; a_{0x} \\\\ \\\\\n\nv_x(t) &amp; = &amp; a_{0x}t+v_{0x}\\\\ \\\\\n\nx(t) &amp; = &amp; \\frac{1}{2}a_{0x}t^2 + v_{0x}t + x_0\n\n\\end{array}\n\n<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u8fd9\u91cc\uff0c<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a_{0x}, v_{0x}<\/span><\/span> \u548c <span class=\"katex-eq\" data-katex-display=\"false\">x_0<\/span> \u8868\u793a\u7269\u4f53\u7684\u521d\u59cb\u52a0\u901f\u5ea6\u3001\u901f\u5ea6\u548c\u4f4d\u7f6e\uff0c<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">a_x(t), v_x(t)<\/span><\/span> \u548c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x(t)<\/span><\/span> \u5206\u522b\u8868\u793a\u7269\u4f53\u5728\u65f6\u95f4\u4e0a\u7684\u52a0\u901f\u5ea6\u3001\u901f\u5ea6\u548c\u4f4d\u7f6e\u3002\u8fd9\u4e9b\u8868\u8fbe\u5f0f\u5bf9\u4e8e\u5176\u4ed6\u5750\u6807\u8f74 <span class=\"katex-eq\" data-katex-display=\"false\">\\hat{y}<\/span> \u548c <span class=\"katex-eq\" data-katex-display=\"false\">\\hat{z}<\/span> \u4e5f\u662f\u7c7b\u4f3c\u7684\uff0c\u7528\u4e8e\u8868\u793a\u4e00\u7ef4\u3001\u4e8c\u7ef4\u548c\u4e09\u7ef4\u7a7a\u95f4\u4e2d\u7684\u8fd0\u52a8\u3002<\/p>\n<h2>\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8\u7684\u80cc\u666f\u4ecb\u7ecd<\/h2>\n<p style=\"text-align: justify;\">\u4e3a\u4e86\u5c06\u8fd0\u52a8\u65b9\u7a0b\u653e\u5728\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8\u7684\u80cc\u666f\u4e2d\uff0c\u6211\u4eec\u5fc5\u987b\u56de\u7b54\u4e00\u4e2a\u95ee\u9898\uff1a\u4ec0\u4e48\u662f\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8\uff1f\u5e76\u5c06\u8fd9\u4e2a\u95ee\u9898\u8f6c\u5316\u4e3a\u6211\u4eec\u53ef\u4ee5\u65bd\u52a0\u5230\u8fd0\u52a8\u65b9\u7a0b\u4e0a\u7684\u6761\u4ef6\uff1a<\/p>\n<ul style=\"text-align: justify;\">\n<li>\u8fd0\u52a8\u7684\u65b9\u5411\u4e0d\u4f1a\u968f\u65f6\u95f4\u6539\u53d8<\/li>\n<li>\u8fd0\u52a8\u7684\u901f\u5ea6\u4e5f\u4e0d\u4f1a\u6539\u53d8<\/li>\n<\/ul>\n<p style=\"text-align: justify;\">\u8fd9\u4e00\u5207\u90fd\u53ef\u4ee5\u603b\u7ed3\u4e3a\u5728\u4e09\u4e2a\u8f74\u4e0a\u7684\u52a0\u901f\u5ea6\u59cb\u7ec8\u4e3a\u96f6\uff1b\u56e0\u6b64\uff0c\u8fd0\u52a8\u65b9\u7a0b\u53d8\u4e3a\u4ee5\u4e0b\u5f62\u5f0f\uff1a<\/p>\n<p style=\"text-align: center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rcl}\n\nv_x(t) &amp; = &amp; v_{0x}\\\\ \\\\\n\nx(t) &amp; = &amp; v_{0x}t + x_0\n\n\\end{array}\n\n<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\u540c\u6837\u5730\uff0c\u5bf9\u4e8e\u5176\u4ed6\u8f74\u4e5f\u662f\u7c7b\u4f3c\u7684\u3002\u901a\u8fc7\u77e5\u9053\u521d\u59cb\u4f4d\u7f6e\u548c\u901f\u5ea6\uff0c\u53ef\u4ee5\u786e\u5b9a\u7269\u4f53\u5728\u4efb\u4f55\u65f6\u95f4\u7684\u4f4d\u7f6e\u4fe1\u606f\u3002<\/p>\n<p style=\"text-align: justify;\">\u5229\u7528\u8fd9\u4e9b\u65b9\u7a0b\uff0c\u5e76\u4ece\u521d\u59cb\u4f4d\u7f6e\u548c\u901f\u5ea6\u6761\u4ef6\u51fa\u53d1\uff0c\u53ef\u4ee5\u786e\u5b9a\u7269\u4f53\u5728\u4efb\u4f55\u65f6\u95f4\u70b9\u7684\u4f4d\u7f6e\u3002<\/p>\n<h2>\u793a\u4f8b\u7ec3\u4e60\uff1a<\/h2>\n<ol style=\"text-align: justify;\">\n<li>\u627e\u5230\u5728\u65f6\u523b <span class=\"katex-eq\" data-katex-display=\"false\">t=15[s]<\/span> \u7684\u7269\u4f53\u4f4d\u7f6e\uff0c\u521d\u59cb\u4f4d\u7f6e\u548c\u901f\u5ea6\u5982\u4e0b\uff1a\n<ol>\n<li type=\"a\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v_{0x}=0,25[m\/s]\\;\\;x_0=0,3[m]<\/span><\/span><\/li>\n<li type=\"a\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v_{0x}=10[km\/h]\\;\\;x_0=15[m]<\/span><\/span><\/li>\n<li type=\"a\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v_{0x}=-3[m\/min]\\;\\;x_0=4[in]<\/span><\/span><\/li>\n<\/ol>\n<\/li>\n<li>\u4e24\u5217\u706b\u8f66\u6700\u521d\u76f8\u8ddd10\u516c\u91cc\u3002\u4e24\u8005\u6cbf\u540c\u4e00\u8f68\u9053\u79fb\u52a8\uff1b\u7b2c\u4e00\u5217\u7684\u901f\u5ea6\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\">v_{1}=20[km\/h]<\/span>\uff0c\u7b2c\u4e8c\u5217\u7684\u901f\u5ea6\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\">v_2=15[km\/h]<\/span>\uff0c\u4f46\u65b9\u5411\u76f8\u53cd\u3002\n<ol>\n<li type=\"a\">\u706b\u8f66\u591a\u4e45\u540e\u76f8\u649e\uff1f<\/a>\n<li type=\"a\">\u4ece\u521d\u59cb\u4f4d\u7f6e\u5230\u649e\u51fb\u70b9\uff0c\u6bcf\u5217\u706b\u8f66\u5404\u884c\u9a76\u4e86\u591a\u8fdc\uff1f<\/a>\n<\/ol>\n<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8 (M.R.U.) \u6982\u8981\uff1a \u5728\u8fd9\u8282\u8bfe\u4e2d\uff0c\u6211\u4eec\u5c06\u91cd\u70b9\u7814\u7a76\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8\u65b9\u7a0b\u7684\u5e94\u7528\uff0c\u8fd9\u5bf9\u4e8e\u7406\u89e3\u7269\u4f53\u4ee5\u6052\u5b9a\u901f\u5ea6\u8fd0\u52a8\u81f3\u5173\u91cd\u8981\u3002\u6211\u4eec\u5c06\u590d\u4e60 \u8f74\u4e0a\u7684\u65b9\u7a0b\uff0c\u5e76\u67e5\u770b\u5f53\u52a0\u901f\u5ea6\u4e3a\u96f6\u65f6\u7684\u7b80\u5316\uff0c\u4ece\u800c\u8ba9\u6211\u4eec\u53ef\u4ee5\u6839\u636e\u901f\u5ea6\u548c\u521d\u59cb\u4f4d\u7f6e\u8ba1\u7b97\u7269\u4f53\u7684\u4f4d\u7f6e\u3002\u6700\u540e\uff0c\u6211\u4eec\u5c06\u901a\u8fc7\u4f8b\u5b50\u548c\u5b9e\u9645\u7ec3\u4e60\u6765\u5e94\u7528\u8fd9\u4e9b\u6982\u5ff5\u3002 \u5b66\u4e60\u76ee\u6807 \u5b8c\u6210\u8fd9\u8282\u8bfe\u540e\uff0c\u5b66\u751f\u5e94\u8be5\u80fd\u591f\uff1a \u7406\u89e3\u8fd0\u52a8\u65b9\u7a0b\uff1a\u8bc6\u522b\u5e76\u7406\u89e3\u8fd0\u52a8\u65b9\u7a0b\uff0c\u7279\u522b\u662f \u8f74\u4e0a\u7684\u65b9\u7a0b\uff0c\u4ee5\u53ca\u5b83\u4eec\u5728\u63cf\u8ff0\u7269\u4f53\u8fd0\u52a8\u4e2d\u7684\u5e94\u7528\u3002 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