{"id":25608,"date":"2022-07-12T00:00:50","date_gmt":"2022-07-12T00:00:50","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=25608"},"modified":"2024-05-21T09:42:24","modified_gmt":"2024-05-21T09:42:24","slug":"%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/zh\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\/","title":{"rendered":"\u4f3d\u5229\u7565\u53d8\u6362\u53ca\u5176\u5c40\u9650\u6027"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u4f3d\u5229\u7565\u53d8\u6362\u53ca\u5176\u5c40\u9650\u6027<\/h1>\n<p class=\"eq\"><em><strong>\u6458\u8981\uff1a<\/strong><br \/>\n\u76f8\u5bf9\u6027\u539f\u7406\u8868\u660e\uff0c\u89c2\u6d4b\u7ed3\u679c\u53d6\u51b3\u4e8e\u60ef\u6027\u53c2\u7167\u7cfb\uff0c\u4f46\u7269\u7406\u5b9a\u5f8b\u4ecd\u4fdd\u6301\u4e00\u81f4\u3002\u4f3d\u5229\u7565\u53d8\u6362\u4f5c\u4e3a\u8fd9\u4e00\u539f\u7406\u7684\u76f4\u89c2\u521d\u6b65\u65b9\u6cd5\uff0c\u6a21\u62df\u4e86\u5728\u7ecf\u5178\u529b\u5b66\u4e2d\u60ef\u6027\u53c2\u8003\u7cfb\u95f4\u89c2\u6d4b\u7ed3\u679c\u7684\u53d8\u5316\u3002\u5728\u672c\u8bfe\u7a0b\u4e2d\uff0c\u6211\u4eec\u5c06\u7814\u7a76\u8fd9\u4e9b\u53d8\u6362\u53ca\u5176\u7279\u6027\uff0c\u5e76\u5c06\u770b\u5230\u5b83\u4eec\u5728\u5e94\u7528\u4e8e\u6ce2\u4f20\u64ad\u73b0\u8c61\u65f6\u7684\u5931\u8d25\u3002<\/br><\/em><\/p>\n<p><strong>\u5b66\u4e60\u76ee\u6807<\/strong><br \/>\n\u5b8c\u6210\u672c\u8bfe\u7a0b\u540e\uff0c\u5b66\u751f\u5c06\u80fd\u591f\uff1a\n<\/p>\n<p><\/center><\/p>\n<ol>\n<li><strong>\u8ba4\u8bc6<\/strong>\u4f3d\u5229\u7565\u53d8\u6362\u7684\u57fa\u672c\u6982\u5ff5\uff0c\u5305\u62ec\u5176\u57fa\u672c\u516c\u5f0f\u548c\u57fa\u672c\u539f\u7406\u3002<\/li>\n<li><strong>\u5206\u6790<\/strong>\u65f6\u7a7a\u7684\u4f3d\u5229\u7565\u51e0\u4f55\u53ca\u5176\u5728\u7ecf\u5178\u529b\u5b66\u6846\u67b6\u4e2d\u7684\u5206\u79bb\u3002<\/li>\n<li><strong>\u8bc4\u4f30<\/strong>\u4f3d\u5229\u7565\u53d8\u6362\u5728\u5e94\u7528\u4e8e\u6ce2\u4f20\u64ad\u7b49\u73b0\u8c61\u65f6\u7684\u5c40\u9650\u6027\u53ca\u5176\u5bf9\u7279\u6b8a\u76f8\u5bf9\u8bba\u7406\u8bba\u53d1\u5c55\u7684\u91cd\u8981\u6027\u3002<\/li>\n<\/ol>\n<p><center><\/p>\n<p class=\"indx\"><strong>\u7d22\u5f15<\/strong><br \/>\n<a href=\"#1\"><strong>\u4f3d\u5229\u7565\u53d8\u6362\u7684\u516c\u5f0f<\/strong><\/a><br \/>\n<a href=\"#2\">\u9006\u53d8\u6362<\/a><br \/>\n<a href=\"#3\">\u7edd\u5bf9\u65f6\u95f4\u548c\u901f\u5ea6\u4e4b\u548c<\/a><br \/>\n<a href=\"#4\">\u65f6\u7a7a\u7684\u4f3d\u5229\u7565\u51e0\u4f55<\/a><br \/>\n<a href=\"#5\"><strong>\u4f3d\u5229\u7565\u76f8\u5bf9\u6027\u548c\u7269\u7406\u5b9a\u5f8b<\/strong><\/a><br \/>\n<a href=\"#6\">\u5e94\u7528\u4e8e\u725b\u987f\u52a8\u529b\u5b66<\/a><br \/>\n<a href=\"#7\">\u5e94\u7528\u4e8e\u6ce2\u4f20\u64ad<\/a><br \/>\n<a href=\"#8\">\u4f3d\u5229\u7565\u53d8\u6362\u5bf9\u6ce2\u4f20\u64ad\u6709\u4f55\u5f71\u54cd\uff1f<\/a><\/p>\n<p><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/ku-9nbTSaJg?si=1dmuCtjzBPUy14v_\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe><br \/>\n<\/center>\n<\/div>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u4f3d\u5229\u7565\u53d8\u6362\u7684\u516c\u5f0f<\/h2>\n<p style=\"text-align:justify;\">\u725b\u987f\u7269\u7406\u5b66\u57fa\u4e8e\u901a\u8fc7\u4f3d\u5229\u7565\u53d8\u6362\u5efa\u6a21\u7684\u76f8\u5bf9\u6027\u539f\u7406\uff0c\u5176\u4e2d\u65f6\u95f4\u88ab\u786e\u5b9a\u4e3a\u6240\u6709\u60ef\u6027\u89c2\u5bdf\u8005\u7684\u901a\u7528\u5750\u6807\uff1b\u5373\uff1a<span class=\"katex-eq\" data-katex-display=\"false\">t=t^\\prime<\/span>\u3002\u5728\u6b64\u58f0\u660e\u4e0b\uff0c\u4ece\u4e24\u4e2a\u60ef\u6027\u53c2\u8003\u7cfb<span class=\"katex-eq\" data-katex-display=\"false\">S<\/span>\u548c<span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span>\u7684\u89c2\u6d4b\u7ed3\u679c\u4e4b\u95f4\u7684\u7ebf\u6027\u53d8\u6362\u5728<a href=\"http:\/\/toposuranos.com\/material\/es\/el-principio-de-relatividad-especial\/?fbclid=IwAR2_lpF1hyUlbSzFQ5B5OQpPu1Vhc_20zTGu8D4pxKPsSvzZRvLSzPdwQXU\" rel=\"noopener\" target=\"_blank\">\u7279\u6b8a\u76f8\u5bf9\u8bba\u539f\u7406<\/a>\u8bfe\u4e0a\u5ba1\u67e5\u65f6\u5448\u73b0\u7ebf\u6027\u53d8\u6362\u5f62\u5f0f\uff1a<\/p>\n<p><a name=\"eq1\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\nt^\\prime &amp;= At + Bx,\\\\ x^\\prime &amp;= Dt + Ex,\\\\ y^\\prime &amp;= y, \\\\ z^\\prime &amp;=z,\n\n\\end{array}<\/span> <strong>[1]<\/strong><\/p>\n<p style=\"text-align:justify;\">\u5f53\u60ef\u6027\u7cfb<span class=\"katex-eq\" data-katex-display=\"false\">S<\/span>\u548c<span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span>\u5904\u4e8e\u6807\u51c6\u914d\u7f6e\u5e76\u4e14<span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span>\u76f8\u5bf9\u4e8e<span class=\"katex-eq\" data-katex-display=\"false\">S<\/span>\u4ee5\u901f\u5ea6<span class=\"katex-eq\" data-katex-display=\"false\">v_{ss^\\prime_x}\\hat{x}<\/span>\u8fd0\u52a8\u65f6\uff0c\u5b83\u5448\u73b0\u4ee5\u4e0b\u5f62\u5f0f<\/p>\n<p><center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio.png\" alt=\"coordinate transformations\" width=\"1374\" height=\"741\" class=\"aligncenter size-full wp-image-25502 lazyload\" \/><noscript><img decoding=\"async\" src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio.png\" alt=\"coordinate transformations\" width=\"1374\" height=\"741\" class=\"aligncenter size-full wp-image-25502 lazyload\" srcset=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio.png 1374w, http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio-300x162.png 300w, http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio-1024x552.png 1024w, http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/12\/coordenadas-cambio-768x414.png 768w\" sizes=\"(max-width: 1374px) 100vw, 1374px\" \/><\/noscript><\/center><\/p>\n<p><a name=\"eq2\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rlr}\n\n{}t^\\prime &amp;= t  \\\\ x^\\prime &amp;= x - v_{ss^\\prime_x}t \\\\ y^\\prime &amp;= y \\\\ z^\\prime &amp;= z\n\n\\end{array}\n\n<\/span> <strong>[2]<\/strong><\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h3>\u9006\u53d8\u6362<\/h3>\n<p style=\"text-align:justify;\">\u4ece\u4e00\u79cd\u4ee3\u6570\u5bf9\u79f0\u6027\u51fa\u53d1\uff0c\u6211\u4eec\u53ef\u4ee5\u5199\u51fa\u9006\u53d8\u6362\uff1a<\/p>\n<p><a name=\"eq3\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\nt &amp;= t^\\prime \\\\ x &amp;= x^\\prime + v_{ss^\\prime_x}t \\\\ y &amp;= y^\\prime \\\\ z &amp;= z^\\prime \\end{array}\n\n<\/span> <strong>[3]<\/strong><\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h3>\u7edd\u5bf9\u65f6\u95f4\u548c\u901f\u5ea6\u4e4b\u548c<\/h3>\n<p style=\"text-align:justify;\">\u4ece\u4f3d\u5229\u7565\u53d8\u6362\u7684\u7b2c\u4e00\u4e2a\u65b9\u7a0b\uff08\u4e24\u4e2a\u4e2d\u7684\u4efb\u4e00\u4e2a\uff0c<a href=\"#eq2\">[2]<\/a>\u6216<a href=\"#eq3\">[3]<\/a>\uff09\u53ef\u4ee5\u770b\u51fa\uff0c\u4e8b\u4ef6\u7684\u65f6\u95f4\u5750\u6807\u4e0d\u4f9d\u8d56\u4e8e\u89c2\u5bdf\u5b83\u7684\u6846\u67b6\uff0c\u800c\u7b2c\u4e8c\u4e2a\u65b9\u7a0b\u5141\u8bb8\u83b7\u5f97\u901a\u5e38\u7406\u89e3\u4e3a\u4e0e\u901f\u5ea6\u4e4b\u548c\u76f8\u5173\u7684\u00ab\u5e38\u8bc6\u00bb\u3002\u5982\u679c\u4e00\u4e2a\u7c92\u5b50\u6cbf<span class=\"katex-eq\" data-katex-display=\"false\">S<\/span>\u7684<span class=\"katex-eq\" data-katex-display=\"false\">\\hat{x}<\/span>\u8f74\u4ee5\u6052\u5b9a\u901f\u5ea6<span class=\"katex-eq\" data-katex-display=\"false\">v_{ss^\\prime_x}<\/span>\u79fb\u52a8\uff0c\u5219\u5b83\u5728<span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span>\u4e2d\u7684\u901f\u5ea6\u7531\u4e0b\u5f0f\u786e\u5b9a<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle v^\\prime_x = \\frac{dx^\\prime}{dt^\\prime} = \\frac{dx^\\prime}{dt} = \\frac{d}{dt}\\left(x - v_{ss^\\prime_x} t \\right) = v_x - v_{ss^\\prime_x}<\/span>\n<p style=\"text-align:justify;\">\u5728\u8fd9\u4e2a\u6700\u540e\u7684\u8868\u8fbe\u5f0f\u4e2d\u63a8\u5bfc\u51fa\uff0c\u4efb\u4f55\u7c92\u5b50\u7684\u52a0\u901f\u5ea6\u5728<span class=\"katex-eq\" data-katex-display=\"false\">S<\/span>\u548c<span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span>\u4e2d\u662f\u76f8\u540c\u7684\uff0c\u5373\uff1a<span class=\"katex-eq\" data-katex-display=\"false\">dv^\\prime_x\/dt^\\prime = dv_x\/dt<\/span>\u3002<\/p>\n<p><a name=\"4\"><\/a><\/p>\n<h3>\u4f3d\u5229\u7565\u65f6\u7a7a\u51e0\u4f55<\/h3>\n<p style=\"text-align:justify;\">\u5982\u679c\u6211\u4eec\u8003\u8651\u4e24\u4e2a\u4e8b\u4ef6<span class=\"katex-eq\" data-katex-display=\"false\">A<\/span>\u548c<span class=\"katex-eq\" data-katex-display=\"false\">B<\/span>\uff0c\u5b83\u4eec\u5206\u522b\u6709\u5750\u6807<span class=\"katex-eq\" data-katex-display=\"false\">(t_A,x_A,y_A,z_A)<\/span>\u548c<span class=\"katex-eq\" data-katex-display=\"false\">(t_B,x_B,y_B,z_B)<\/span>\u3002\u4e0d\u96be\u770b\u51fa\uff0c\u91cf<span class=\"katex-eq\" data-katex-display=\"false\">\\Delta t = t_B - t_A<\/span>\u548c<span class=\"katex-eq\" data-katex-display=\"false\">\\Delta r^2 = \\Delta x^2 + \\Delta y^2 + \\Delta z^2<\/span>\u5728\u4f3d\u5229\u7565\u53d8\u6362\u4e0b\u5206\u522b\u662f\u4e0d\u53d8\u7684\uff0c\u8fd9\u4f7f\u6211\u4eec\u5c06\u7a7a\u95f4\u548c\u65f6\u95f4\u89c6\u4e3a\u5206\u5f00\u7684\u5b9e\u4f53\u3002\u53e6\u4e00\u65b9\u9762\uff0c<span class=\"katex-eq\" data-katex-display=\"false\">\\Delta r^2<\/span>\u8868\u660e\u8fd9\u662f\u7a7a\u95f4\u672c\u8eab\u7684\u51e0\u4f55\u5c5e\u6027\u3002\u6211\u4eec\u5c06<span class=\"katex-eq\" data-katex-display=\"false\">\\Delta r^2<\/span>\u8bc6\u522b\u4e3a\u6b27\u51e0\u91cc\u5f97\u7a7a\u95f4\u4e2d\u4e8b\u4ef6\u4e4b\u95f4\u8ddd\u79bb\u7684\u5e73\u65b9\u3002\u8fd9\u5b9a\u4e49\u4e86\u725b\u987f\u529b\u5b66\u80cc\u666f\u4e0b\u7684\u65f6\u7a7a\u51e0\u4f55\u3002<\/p>\n<p><a name=\"5\"><\/a><\/p>\n<h2>\u4f3d\u5229\u7565\u76f8\u5bf9\u6027\u548c\u7269\u7406\u5b9a\u5f8b<\/h2>\n<p><a name=\"6\"><\/a><\/p>\n<h3>\u5e94\u7528\u4e8e\u725b\u987f\u52a8\u529b\u5b66<\/h3>\n<p style=\"text-align:justify;\">\u5728\u524d\u4e00\u8282\u4e2d\uff0c\u6211\u4eec\u770b\u5230\uff0c\u5728\u725b\u987f\u7269\u7406\u5b66\u7684\u80cc\u666f\u4e0b\uff0c\u4efb\u4f55\u4e24\u4e2a\u4e0d\u540c\u7684\u60ef\u6027\u53c2\u8003\u7cfb\u603b\u662f\u4f1a\u89c2\u5bdf\u5230\u76f8\u540c\u7684\u52a0\u901f\u5ea6\u3002\u8fd9\u4e0e\u725b\u987f\u7684\u7b2c\u4e8c\u5b9a\u5f8b\u7ed3\u5408\u8d77\u6765\uff0c\u610f\u5473\u7740\u6240\u6709\u7684\u60ef\u6027\u53c2\u8003\u7cfb\u603b\u4f1a\u89c2\u5bdf\u5230\u76f8\u540c\u7684\u52a8\u529b\u5b66\u3002\u5373\uff1a<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle F_x = m\\frac{dv_x}{dt}= m\\frac{dv^\\prime_x}{dt^\\prime} = F^\\prime_x.<\/span> <\/p>\n<p style=\"text-align:justify;\">\u8fd9\u4e2a\u6700\u540e\u7684\u8868\u8fbe\u5f0f\u544a\u8bc9\u6211\u4eec<strong>\u5728\u8fdb\u884c\u4f3d\u5229\u7565\u53d8\u6362\u65f6\u7269\u7406\u4e0d\u4f1a\u6539\u53d8\uff0c<\/strong>\u8fd9\u76f8\u5f53\u4e8e\u8bf4\uff1a\u5bf9\u6240\u6709\u60ef\u6027\u89c2\u5bdf\u8005\u6765\u8bf4\uff0c\u7269\u7406\u662f\u76f8\u540c\u7684\u3002<\/p>\n<p><a name=\"7\"><\/a><\/p>\n<h3>\u5e94\u7528\u4e8e\u6ce2\u7684\u4f20\u64ad<\/h3>\n<p style=\"text-align:justify;\">\u5c3d\u7ba1\u5728\u60ef\u6027\u89c2\u5bdf\u8005\u53d1\u751f\u53d8\u5316\u65f6\u7269\u7406\u7684\u6301\u4e45\u6027\u662f\u9884\u671f\u7684\uff0c\u9996\u5148\u662f\u56e0\u4e3a\u8fd9\u662f\u6211\u4eec\u5728\u79fb\u52a8\u65f6\u89c2\u5bdf\u5230\u7684\uff0c\u5176\u6b21\u662f\u56e0\u4e3a\u8fd9\u662f\u901a\u8fc7\u4e4b\u524d\u7684\u8ba1\u7b97\u83b7\u5f97\u7684\uff0c\u4f46\u5e76\u975e\u603b\u662f\u5982\u6b64\u3002\u4e0d\u5728\u4f3d\u5229\u7565\u53d8\u6362\u4e0b\u4fdd\u6301\u7684\u73b0\u8c61\u4e2d\u6700\u8457\u540d\u7684\u6848\u4f8b\u662f\u6ce2\u7684\u4f20\u64ad\uff1b\u901a\u5e38\uff0c\u6a21\u62df\u7a7a\u95f4\u548c\u65f6\u95f4\u4e2d\u6ce2<span class=\"katex-eq\" data-katex-display=\"false\">\\psi<\/span>\u4f20\u64ad\u7684\u65b9\u7a0b\u662f\u8fd9\u79cd\u5f62\u5f0f<\/p>\n<p><a name=\"eq4\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\nabla^2 \\psi = \\frac{1}{v_0^2}\\frac{\\partial^2 \\psi}{\\partial t^2}<\/span> <strong>[4]<\/strong><\/p>\n<p style=\"text-align:justify;\">\u5176\u4e2d<span class=\"katex-eq\" data-katex-display=\"false\">v_0<\/span>\u662f\u6ce2\u7684\u4f20\u64ad\u901f\u5ea6\u3002<\/p>\n<p><a name=\"8\"><\/a><\/p>\n<h4>\u4f3d\u5229\u7565\u53d8\u6362\u5bf9\u6ce2\u4f20\u64ad\u6709\u4ec0\u4e48\u5f71\u54cd\uff1f<\/h4>\n<p style=\"text-align:justify;\">\u5bf9\u6b64\uff0c\u6709\u4e00\u4e2a\u7b80\u77ed\u548c\u4e00\u4e2a\u957f\u7684\u7b54\u6848\u3002\u7b80\u77ed\u7684\u7b54\u6848\u662f\uff0c\u201c\u5373\u4f7f\u89c2\u5bdf\u5230\u76f8\u540c\u7684\u73b0\u8c61\uff0c\u4e0d\u540c\u7684\u60ef\u6027\u89c2\u5bdf\u8005\u4e5f\u4f1a\u770b\u5230\u2018\u4e0d\u540c\u7684\u7269\u7406\u2019\u201d\u3002\u957f\u7b54\u6848\u6d89\u53ca\u5230\u68c0\u67e5\u6ce2\u4f20\u64ad\u65b9\u7a0b\u5728\u5e94\u7528\u4f3d\u5229\u7565\u53d8\u6362\u65f6\u5982\u4f55\u6539\u53d8\uff1b\u4e3a\u6b64\uff0c\u6211\u4eec\u9996\u5148\u53d6\u65b9\u7a0b<a href=\"#eq3\">[4]<\/a>\u5e76\u5728\u5176\u6bcf\u4e2a\u5750\u6807\u4e0a\u5c55\u5f00\uff0c\u83b7\u5f97\uff1a<\/p>\n<p><a name=\"eq5\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{\\partial ^2 \\psi}{\\partial x^2} + \\frac{\\partial ^2 \\psi}{\\partial y^2} + \\frac{\\partial ^2 \\psi}{\\partial z^2} = \\frac{1}{v_0^2} \\frac{\\partial ^2 \\psi}{\\partial t^2}.<\/span> <strong>[5]<\/strong><\/p>\n<p style=\"text-align:justify;\">\u624b\u5934\u6709\u4e86\u8fd9\u4e2a\u65b9\u7a0b\uff0c\u6211\u4eec\u73b0\u5728\u5fc5\u987b\u4f7f\u7528 <a href=\"#eq3\">[3]<\/a> \u4e2d\u7684\u65b9\u7a0b\u6765\u91cd\u65b0\u8868\u8fbe\u53e6\u4e00\u4e2a\u60ef\u6027\u6846\u67b6\u4e2d\u7684\u5bfc\u6570\u3002<\/p>\n<h5>\u4e00\u9636\u5bfc\u6570\u7684\u53d8\u6362<\/h5>\n<p style=\"text-align:justify;\">\u9075\u5faa <a href=\"#eq3\">[3]<\/a> \u4e2d\u7684\u8868\u8fbe\u5f0f\uff0c\u5e76\u5bf9\u6bcf\u4e2a\u53d8\u91cf\u76f8\u5bf9\u4e8e\u6487\u53f7\u53d8\u91cf\u6c42\u5bfc\uff0c\u6211\u4eec\u5f97\u5230\uff1a<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{\\partial x^\\prime}{\\partial x} = \\frac{\\partial y^\\prime}{\\partial y}= \\frac{\\partial z^\\prime}{\\partial z}= \\frac{\\partial t^\\prime}{\\partial t}= 1<\/span>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{\\partial x^\\prime}{\\partial t} = - v_{x_0}<\/span>\n<p style=\"text-align:justify;\">\u800c\u6240\u6709\u5176\u4ed6\u7684\u5bfc\u6570\u90fd\u4e3a\u96f6\uff1a<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{\\partial t^\\prime}{\\partial x} = \\frac{\\partial t^\\prime}{\\partial y} = \\frac{\\partial t^\\prime}{\\partial z} = \\frac{\\partial x^\\prime}{\\partial y} = \\frac{\\partial x^\\prime}{\\partial z} = \\frac{\\partial y^\\prime}{\\partial x} = \\frac{\\partial y^\\prime}{\\partial z} = \\frac{\\partial y^\\prime}{\\partial t} = \\frac{\\partial z^\\prime}{\\partial x} = \\frac{\\partial z^\\prime}{\\partial y} = \\frac{\\partial z^\\prime}{\\partial t} = 0\n\n<\/span>\n<p style=\"text-align:justify;\">\u6709\u4e86\u8fd9\u4e9b\uff0c\u6211\u4eec\u73b0\u5728\u53ef\u4ee5\u901a\u8fc7\u94fe\u5f0f\u6cd5\u5219\u8ba1\u7b97 <span class=\"katex-eq\" data-katex-display=\"false\">\\psi<\/span> \u7684\u5bfc\u6570\uff1a<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\frac{\\partial \\psi}{\\partial x} = \\frac{\\partial \\psi}{\\partial x^\\prime} \\underbrace{\\frac{\\partial x^\\prime}{\\partial x}}_{=1} + \\frac{\\partial \\psi}{\\partial y^\\prime} \\underbrace{\\frac{\\partial y^\\prime}{\\partial x}}_{=0} +\n\n\\frac{\\partial \\psi}{\\partial z^\\prime} \\underbrace{\\frac{\\partial z^\\prime}{\\partial x}}_{=0} + \\frac{\\partial \\psi}{\\partial t^\\prime} \\underbrace{\\frac{\\partial t^\\prime}{\\partial x}}_{=0} =  \\frac{\\partial \\psi}{\\partial x^\\prime}.<\/span>\n<p>\u540c\u6837\u5730\uff0c\u5bf9\u4e8e\u5176\u4ed6\u4e24\u4e2a\u7a7a\u95f4\u53d8\u91cf\uff1a<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\frac{\\partial \\psi}{\\partial y} =  \\frac{\\partial \\psi}{\\partial y^\\prime}.<\/span>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\frac{\\partial \\psi}{\\partial z} =  \\frac{\\partial \\psi}{\\partial z^\\prime}.<\/span>\n<p style=\"text-align:justify;\">\u7136\u800c\uff0c\u65f6\u95f4\u5bfc\u6570\u5c06\u4f1a\u663e\u793a\u4e00\u4e9b\u5dee\u5f02\uff1a<\/p>\n<p id=\"eq\">\n<span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\n\\displaystyle \\frac{\\partial \\psi}{\\partial t} &amp;= \\displaystyle\\frac{\\partial \\psi}{\\partial x^\\prime}\\underbrace{\\frac{\\partial x^\\prime}{\\partial t}}_{=-v_{x_0}} + \\frac{\\partial \\psi}{\\partial y^\\prime}\\underbrace{\\frac{\\partial y^\\prime}{\\partial t}}_{=0} + \\frac{\\partial \\psi}{\\partial z^\\prime}\\underbrace{\\frac{\\partial z^\\prime}{\\partial t}}_{=0} + \\frac{\\partial \\psi}{\\partial t^\\prime}\\underbrace{\\frac{\\partial t^\\prime}{\\partial t}}_{=1}\\\\ &amp;=\\displaystyle -v_{x_0} \\frac{\\partial \\psi}{\\partial x^\\prime} + \\frac{\\partial \\psi}{\\partial t^\\prime},\n\n\\end{array}\n\n<\/span>\n<h5>\u4e8c\u9636\u5bfc\u6570\u7684\u53d8\u6362<\/h5>\n<p style=\"text-align:justify;\">\u5bf9\u4e8e\u7a7a\u95f4\u90e8\u5206\uff0c\u6211\u4eec\u53ef\u4ee5\u7ee7\u7eed\u6ca1\u6709\u592a\u5927\u56f0\u96be\uff0c\u7ed3\u679c\u662f\uff1a<\/p>\n<p><a name=\"eq6\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{\\partial^2 \\psi}{\\partial x^2} = \\frac{\\partial^2 \\psi}{\\partial {x^\\prime}^2}.<\/span> <strong>[6]<\/strong><\/p>\n<p><a name=\"eq7\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{\\partial^2 \\psi}{\\partial y^2} = \\frac{\\partial^2 \\psi}{\\partial {y^\\prime}^2}<\/span> <strong>[7]<\/strong><\/p>\n<p><a name=\"eq8\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{\\partial^2 \\psi}{\\partial z^2} = \\frac{\\partial^2 \\psi}{\\partial {z^\\prime}^2}<\/span> <strong>[8]<\/strong><\/p>\n<p style=\"text-align:justify;\">\u4f46\u662f\u4ece\u4e00\u9636\u5bfc\u6570\u5c31\u53ef\u4ee5\u9884\u89c1\uff0c\u65f6\u95f4\u90e8\u5206\u5c06\u663e\u793a\u8f83\u5927\u7684\u5dee\u5f02\uff1a<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\n\\displaystyle\\frac{\\partial^2 \\psi}{\\partial t^2} &amp;=\\displaystyle \\frac{\\partial}{\\partial t}\\left( -v_{x_0} \\frac{\\partial \\psi}{\\partial x^\\prime} + \\frac{\\partial \\psi}{\\partial t^\\prime} \\right)\\\\ &amp; \\displaystyle = -v_{x_0} \\frac{\\partial }{\\partial t} \\left(\\frac{\\partial \\psi}{\\partial x^\\prime} \\right) + \\frac{\\partial }{\\partial t} \\left(\\frac{\\partial \\psi}{\\partial t^\\prime} \\right)\\\\ &amp;\\displaystyle = -v_{x_0} \\frac{\\partial }{\\partial x^\\prime} \\left(\\frac{\\partial \\psi}{\\partial t} \\right) + \\frac{\\partial }{\\partial t^\\prime} \\left(\\frac{\\partial \\psi}{\\partial t} \\right)\\\\ &amp;\\displaystyle = -v_{x_0} \\frac{\\partial }{\\partial x^\\prime} \\left(-v_{x_0} \\frac{\\partial \\psi}{\\partial x^\\prime} + \\frac{\\partial \\psi}{\\partial t^\\prime} \\right) + \\frac{\\partial }{\\partial t^\\prime} \\left(-v_{x_0} \\frac{\\partial \\psi}{\\partial x^\\prime} + \\frac{\\partial \\psi}{\\partial t^\\prime} \\right) \\end{array}<\/span>\n<p><a name=\"eq9\"><\/a><\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\displaystyle\\frac{\\partial^2 \\psi}{\\partial t^2}  = v_{x_0}^2 \\frac{\\partial^2 \\psi}{\\partial {x^\\prime}^2} - 2v_{x_0}\\frac{\\partial^2 \\psi}{\\partial x^\\prime \\partial t^\\prime} + \\frac{\\partial^2 \\psi}{\\partial {t^\\prime}^2}.<\/span> <strong>[9]<\/strong><\/p>\n<h5>\u5e94\u7528\u4f3d\u5229\u7565\u53d8\u6362\u5230\u6ce2\u7684\u4f20\u64ad<\/h5>\n<p style=\"text-align:justify;\">\u56e0\u6b64\uff0c\u53ef\u4ee5\u901a\u8fc7\u7528\u65b9\u7a0b[<a href=\"#eq6\">6<\/a>\uff0c<a href=\"#eq7\">7<\/a>\uff0c<a href=\"#eq8\">8<\/a>]\u548c[<a href=\"#eq9\">9<\/a>]\u66ff\u6362[<a href=\"#eq5\">5<\/a>]\uff0c\u6765\u5bf9\u6ce2\u7684\u4f20\u64ad\u65b9\u7a0b\u8fdb\u884c\u4f3d\u5229\u7565\u53d8\u6362\uff0c\u7ed3\u679c\u5982\u4e0b\uff1a<\/p>\n<p id=\"eq\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\displaystyle \\frac{\\partial^2 \\psi}{\\partial {x^\\prime}^2} + \\frac{\\partial^2 \\psi}{\\partial {y^\\prime}^2} + \\frac{\\partial^2 \\psi}{\\partial {z^\\prime}^2} = \\frac{1}{v_0^2} \\left(\\color{red}{ v_{x_0}^2 \\frac{\\partial^2 \\psi}{\\partial {x^\\prime}^2} - 2v_{x_0}\\frac{\\partial^2 \\psi}{\\partial x^\\prime \\partial t^\\prime}} + \\frac{\\partial^2 \\psi}{\\partial {t^\\prime}^2} \\right).\n\n<\/span> <strong>[10]<\/strong><\/p>\n<p style=\"text-align:justify;\">\u53ef\u4ee5\u89c2\u5bdf\u5230\uff0c\u5728\u4f3d\u5229\u7565\u53d8\u6362\u4e0b\uff0c\u6ce2\u7684\u4f20\u64ad\u5f62\u5f0f\u7531\u4e8e\u7ea2\u8272\u6807\u8bb0\u7684\u989d\u5916\u9879\u7684\u51fa\u73b0\u800c\u4e0d\u6210\u7acb\u3002\u5c3d\u7ba1\u73b0\u5728\u8fd9\u8fd8\u6ca1\u6709\u91cd\u5927\u540e\u679c\uff0c\u4f46\u5728\u672a\u6765\u7684\u8bfe\u7a0b\u4e2d\uff0c\u6211\u4eec\u5c06\u770b\u5230\u8fd9\u6b63\u662f\u4e0e\u7ecf\u5178\u7269\u7406\u201c\u65ad\u88c2\u201d\u7684\u5173\u952e\u70b9\uff0c\u4e3a\u7279\u6b8a\u76f8\u5bf9\u8bba\u94fa\u8def\u3002<\/p>\n<div style=\"background-color:#F3F3F3; padding:20px;\">\n<h2>\u7ed3\u8bba<\/h2>\n<p style=\"text-align:justify;\">\n        \u4f3d\u5229\u7565\u53d8\u6362\u5728\u7ecf\u5178\u529b\u5b66\u4e2d\u5177\u6709\u57fa\u7840\u6027\u4f5c\u7528\uff0c\u5b83\u5efa\u7acb\u4e86\u4e00\u4e2a\u6846\u67b6\uff0c\u7528\u4e8e\u7406\u89e3\u89c2\u6d4b\u5728\u4e0d\u540c\u60ef\u6027\u53c2\u8003\u7cfb\u4e4b\u95f4\u662f\u5982\u4f55\u53d8\u5316\u7684\u3002\u901a\u8fc7\u8fd9\u9879\u7814\u7a76\uff0c\u6211\u4eec\u5df2\u7ecf\u8ba4\u8bc6\u5230\u7edd\u5bf9\u65f6\u95f4\u7684\u6982\u5ff5\u548c\u901f\u5ea6\u7684\u53e0\u52a0\u4f5c\u4e3a\u4f3d\u5229\u7565\u7a7a\u95f4\u548c\u65f6\u95f4\u51e0\u4f55\u7684\u652f\u67f1\u3002\u7136\u800c\uff0c\u6211\u4eec\u4e5f\u53d1\u73b0\u4e86\u8fd9\u4e9b\u53d8\u6362\u5728\u6ce2\u7684\u4f20\u64ad\u5e94\u7528\u4e0a\u7684\u91cd\u5927\u5c40\u9650\u6027\u3002\u8fd9\u4e00\u5206\u6790\u5f3a\u8c03\u4e86\u63cf\u8ff0\u7269\u7406\u5b87\u5b99\u9700\u8981\u66f4\u590d\u6742\u65b9\u6cd5\u7684\u9700\u6c42\uff0c\u5f15\u9886\u6211\u4eec\u8d70\u5411\u7279\u6b8a\u76f8\u5bf9\u8bba\uff0c\u8d85\u8d8a\u7ecf\u5178\u76f4\u89c9\u3002\u603b\u4e4b\uff0c\u867d\u7136\u4f3d\u5229\u7565\u53d8\u6362\u5728\u7ecf\u5178\u7269\u7406\u5b66\u4e2d\u63d0\u4f9b\u4e86\u575a\u5b9e\u7684\u57fa\u7840\uff0c\u4f46\u5b83\u4eec\u5728\u67d0\u4e9b\u73b0\u8c61\u4e2d\u7684\u4e0d\u8db3\u7a81\u663e\u4e86\u6211\u4eec\u5bf9\u5b87\u5b99\u7406\u89e3\u7684\u4e0d\u65ad\u53d1\u5c55\u3002\n    <\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u4f3d\u5229\u7565\u53d8\u6362\u53ca\u5176\u5c40\u9650\u6027 \u6458\u8981\uff1a \u76f8\u5bf9\u6027\u539f\u7406\u8868\u660e\uff0c\u89c2\u6d4b\u7ed3\u679c\u53d6\u51b3\u4e8e\u60ef\u6027\u53c2\u7167\u7cfb\uff0c\u4f46\u7269\u7406\u5b9a\u5f8b\u4ecd\u4fdd\u6301\u4e00\u81f4\u3002\u4f3d\u5229\u7565\u53d8\u6362\u4f5c\u4e3a\u8fd9\u4e00\u539f\u7406\u7684\u76f4\u89c2\u521d\u6b65\u65b9\u6cd5\uff0c\u6a21\u62df\u4e86\u5728\u7ecf\u5178\u529b\u5b66\u4e2d\u60ef\u6027\u53c2\u8003\u7cfb\u95f4\u89c2\u6d4b\u7ed3\u679c\u7684\u53d8\u5316\u3002\u5728\u672c\u8bfe\u7a0b\u4e2d\uff0c\u6211\u4eec\u5c06\u7814\u7a76\u8fd9\u4e9b\u53d8\u6362\u53ca\u5176\u7279\u6027\uff0c\u5e76\u5c06\u770b\u5230\u5b83\u4eec\u5728\u5e94\u7528\u4e8e\u6ce2\u4f20\u64ad\u73b0\u8c61\u65f6\u7684\u5931\u8d25\u3002 \u5b66\u4e60\u76ee\u6807 \u5b8c\u6210\u672c\u8bfe\u7a0b\u540e\uff0c\u5b66\u751f\u5c06\u80fd\u591f\uff1a \u8ba4\u8bc6\u4f3d\u5229\u7565\u53d8\u6362\u7684\u57fa\u672c\u6982\u5ff5\uff0c\u5305\u62ec\u5176\u57fa\u672c\u516c\u5f0f\u548c\u57fa\u672c\u539f\u7406\u3002 \u5206\u6790\u65f6\u7a7a\u7684\u4f3d\u5229\u7565\u51e0\u4f55\u53ca\u5176\u5728\u7ecf\u5178\u529b\u5b66\u6846\u67b6\u4e2d\u7684\u5206\u79bb\u3002 \u8bc4\u4f30\u4f3d\u5229\u7565\u53d8\u6362\u5728\u5e94\u7528\u4e8e\u6ce2\u4f20\u64ad\u7b49\u73b0\u8c61\u65f6\u7684\u5c40\u9650\u6027\u53ca\u5176\u5bf9\u7279\u6b8a\u76f8\u5bf9\u8bba\u7406\u8bba\u53d1\u5c55\u7684\u91cd\u8981\u6027\u3002 \u7d22\u5f15 \u4f3d\u5229\u7565\u53d8\u6362\u7684\u516c\u5f0f \u9006\u53d8\u6362 \u7edd\u5bf9\u65f6\u95f4\u548c\u901f\u5ea6\u4e4b\u548c \u65f6\u7a7a\u7684\u4f3d\u5229\u7565\u51e0\u4f55 \u4f3d\u5229\u7565\u76f8\u5bf9\u6027\u548c\u7269\u7406\u5b9a\u5f8b \u5e94\u7528\u4e8e\u725b\u987f\u52a8\u529b\u5b66 \u5e94\u7528\u4e8e\u6ce2\u4f20\u64ad \u4f3d\u5229\u7565\u53d8\u6362\u5bf9\u6ce2\u4f20\u64ad\u6709\u4f55\u5f71\u54cd\uff1f \u4f3d\u5229\u7565\u53d8\u6362\u7684\u516c\u5f0f \u725b\u987f\u7269\u7406\u5b66\u57fa\u4e8e\u901a\u8fc7\u4f3d\u5229\u7565\u53d8\u6362\u5efa\u6a21\u7684\u76f8\u5bf9\u6027\u539f\u7406\uff0c\u5176\u4e2d\u65f6\u95f4\u88ab\u786e\u5b9a\u4e3a\u6240\u6709\u60ef\u6027\u89c2\u5bdf\u8005\u7684\u901a\u7528\u5750\u6807\uff1b\u5373\uff1a\u3002\u5728\u6b64\u58f0\u660e\u4e0b\uff0c\u4ece\u4e24\u4e2a\u60ef\u6027\u53c2\u8003\u7cfb\u548c\u7684\u89c2\u6d4b\u7ed3\u679c\u4e4b\u95f4\u7684\u7ebf\u6027\u53d8\u6362\u5728\u7279\u6b8a\u76f8\u5bf9\u8bba\u539f\u7406\u8bfe\u4e0a\u5ba1\u67e5\u65f6\u5448\u73b0\u7ebf\u6027\u53d8\u6362\u5f62\u5f0f\uff1a [1] \u5f53\u60ef\u6027\u7cfb\u548c\u5904\u4e8e\u6807\u51c6\u914d\u7f6e\u5e76\u4e14\u76f8\u5bf9\u4e8e\u4ee5\u901f\u5ea6\u8fd0\u52a8\u65f6\uff0c\u5b83\u5448\u73b0\u4ee5\u4e0b\u5f62\u5f0f [2] \u9006\u53d8\u6362 \u4ece\u4e00\u79cd\u4ee3\u6570\u5bf9\u79f0\u6027\u51fa\u53d1\uff0c\u6211\u4eec\u53ef\u4ee5\u5199\u51fa\u9006\u53d8\u6362\uff1a [3] \u7edd\u5bf9\u65f6\u95f4\u548c\u901f\u5ea6\u4e4b\u548c \u4ece\u4f3d\u5229\u7565\u53d8\u6362\u7684\u7b2c\u4e00\u4e2a\u65b9\u7a0b\uff08\u4e24\u4e2a\u4e2d\u7684\u4efb\u4e00\u4e2a\uff0c[2]\u6216[3]\uff09\u53ef\u4ee5\u770b\u51fa\uff0c\u4e8b\u4ef6\u7684\u65f6\u95f4\u5750\u6807\u4e0d\u4f9d\u8d56\u4e8e\u89c2\u5bdf\u5b83\u7684\u6846\u67b6\uff0c\u800c\u7b2c\u4e8c\u4e2a\u65b9\u7a0b\u5141\u8bb8\u83b7\u5f97\u901a\u5e38\u7406\u89e3\u4e3a\u4e0e\u901f\u5ea6\u4e4b\u548c\u76f8\u5173\u7684\u00ab\u5e38\u8bc6\u00bb\u3002\u5982\u679c\u4e00\u4e2a\u7c92\u5b50\u6cbf\u7684\u8f74\u4ee5\u6052\u5b9a\u901f\u5ea6\u79fb\u52a8\uff0c\u5219\u5b83\u5728\u4e2d\u7684\u901f\u5ea6\u7531\u4e0b\u5f0f\u786e\u5b9a \u5728\u8fd9\u4e2a\u6700\u540e\u7684\u8868\u8fbe\u5f0f\u4e2d\u63a8\u5bfc\u51fa\uff0c\u4efb\u4f55\u7c92\u5b50\u7684\u52a0\u901f\u5ea6\u5728\u548c\u4e2d\u662f\u76f8\u540c\u7684\uff0c\u5373\uff1a\u3002 \u4f3d\u5229\u7565\u65f6\u7a7a\u51e0\u4f55 \u5982\u679c\u6211\u4eec\u8003\u8651\u4e24\u4e2a\u4e8b\u4ef6\u548c\uff0c\u5b83\u4eec\u5206\u522b\u6709\u5750\u6807\u548c\u3002\u4e0d\u96be\u770b\u51fa\uff0c\u91cf\u548c\u5728\u4f3d\u5229\u7565\u53d8\u6362\u4e0b\u5206\u522b\u662f\u4e0d\u53d8\u7684\uff0c\u8fd9\u4f7f\u6211\u4eec\u5c06\u7a7a\u95f4\u548c\u65f6\u95f4\u89c6\u4e3a\u5206\u5f00\u7684\u5b9e\u4f53\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u8868\u660e\u8fd9\u662f\u7a7a\u95f4\u672c\u8eab\u7684\u51e0\u4f55\u5c5e\u6027\u3002\u6211\u4eec\u5c06\u8bc6\u522b\u4e3a\u6b27\u51e0\u91cc\u5f97\u7a7a\u95f4\u4e2d\u4e8b\u4ef6\u4e4b\u95f4\u8ddd\u79bb\u7684\u5e73\u65b9\u3002\u8fd9\u5b9a\u4e49\u4e86\u725b\u987f\u529b\u5b66\u80cc\u666f\u4e0b\u7684\u65f6\u7a7a\u51e0\u4f55\u3002 \u4f3d\u5229\u7565\u76f8\u5bf9\u6027\u548c\u7269\u7406\u5b9a\u5f8b \u5e94\u7528\u4e8e\u725b\u987f\u52a8\u529b\u5b66 \u5728\u524d\u4e00\u8282\u4e2d\uff0c\u6211\u4eec\u770b\u5230\uff0c\u5728\u725b\u987f\u7269\u7406\u5b66\u7684\u80cc\u666f\u4e0b\uff0c\u4efb\u4f55\u4e24\u4e2a\u4e0d\u540c\u7684\u60ef\u6027\u53c2\u8003\u7cfb\u603b\u662f\u4f1a\u89c2\u5bdf\u5230\u76f8\u540c\u7684\u52a0\u901f\u5ea6\u3002\u8fd9\u4e0e\u725b\u987f\u7684\u7b2c\u4e8c\u5b9a\u5f8b\u7ed3\u5408\u8d77\u6765\uff0c\u610f\u5473\u7740\u6240\u6709\u7684\u60ef\u6027\u53c2\u8003\u7cfb\u603b\u4f1a\u89c2\u5bdf\u5230\u76f8\u540c\u7684\u52a8\u529b\u5b66\u3002\u5373\uff1a \u8fd9\u4e2a\u6700\u540e\u7684\u8868\u8fbe\u5f0f\u544a\u8bc9\u6211\u4eec\u5728\u8fdb\u884c\u4f3d\u5229\u7565\u53d8\u6362\u65f6\u7269\u7406\u4e0d\u4f1a\u6539\u53d8\uff0c\u8fd9\u76f8\u5f53\u4e8e\u8bf4\uff1a\u5bf9\u6240\u6709\u60ef\u6027\u89c2\u5bdf\u8005\u6765\u8bf4\uff0c\u7269\u7406\u662f\u76f8\u540c\u7684\u3002 \u5e94\u7528\u4e8e\u6ce2\u7684\u4f20\u64ad \u5c3d\u7ba1\u5728\u60ef\u6027\u89c2\u5bdf\u8005\u53d1\u751f\u53d8\u5316\u65f6\u7269\u7406\u7684\u6301\u4e45\u6027\u662f\u9884\u671f\u7684\uff0c\u9996\u5148\u662f\u56e0\u4e3a\u8fd9\u662f\u6211\u4eec\u5728\u79fb\u52a8\u65f6\u89c2\u5bdf\u5230\u7684\uff0c\u5176\u6b21\u662f\u56e0\u4e3a\u8fd9\u662f\u901a\u8fc7\u4e4b\u524d\u7684\u8ba1\u7b97\u83b7\u5f97\u7684\uff0c\u4f46\u5e76\u975e\u603b\u662f\u5982\u6b64\u3002\u4e0d\u5728\u4f3d\u5229\u7565\u53d8\u6362\u4e0b\u4fdd\u6301\u7684\u73b0\u8c61\u4e2d\u6700\u8457\u540d\u7684\u6848\u4f8b\u662f\u6ce2\u7684\u4f20\u64ad\uff1b\u901a\u5e38\uff0c\u6a21\u62df\u7a7a\u95f4\u548c\u65f6\u95f4\u4e2d\u6ce2\u4f20\u64ad\u7684\u65b9\u7a0b\u662f\u8fd9\u79cd\u5f62\u5f0f [4] \u5176\u4e2d\u662f\u6ce2\u7684\u4f20\u64ad\u901f\u5ea6\u3002 \u4f3d\u5229\u7565\u53d8\u6362\u5bf9\u6ce2\u4f20\u64ad\u6709\u4ec0\u4e48\u5f71\u54cd\uff1f \u5bf9\u6b64\uff0c\u6709\u4e00\u4e2a\u7b80\u77ed\u548c\u4e00\u4e2a\u957f\u7684\u7b54\u6848\u3002\u7b80\u77ed\u7684\u7b54\u6848\u662f\uff0c\u201c\u5373\u4f7f\u89c2\u5bdf\u5230\u76f8\u540c\u7684\u73b0\u8c61\uff0c\u4e0d\u540c\u7684\u60ef\u6027\u89c2\u5bdf\u8005\u4e5f\u4f1a\u770b\u5230\u2018\u4e0d\u540c\u7684\u7269\u7406\u2019\u201d\u3002\u957f\u7b54\u6848\u6d89\u53ca\u5230\u68c0\u67e5\u6ce2\u4f20\u64ad\u65b9\u7a0b\u5728\u5e94\u7528\u4f3d\u5229\u7565\u53d8\u6362\u65f6\u5982\u4f55\u6539\u53d8\uff1b\u4e3a\u6b64\uff0c\u6211\u4eec\u9996\u5148\u53d6\u65b9\u7a0b[4]\u5e76\u5728\u5176\u6bcf\u4e2a\u5750\u6807\u4e0a\u5c55\u5f00\uff0c\u83b7\u5f97\uff1a [5] \u624b\u5934\u6709\u4e86\u8fd9\u4e2a\u65b9\u7a0b\uff0c\u6211\u4eec\u73b0\u5728\u5fc5\u987b\u4f7f\u7528 [3] \u4e2d\u7684\u65b9\u7a0b\u6765\u91cd\u65b0\u8868\u8fbe\u53e6\u4e00\u4e2a\u60ef\u6027\u6846\u67b6\u4e2d\u7684\u5bfc\u6570\u3002 \u4e00\u9636\u5bfc\u6570\u7684\u53d8\u6362 \u9075\u5faa [3] \u4e2d\u7684\u8868\u8fbe\u5f0f\uff0c\u5e76\u5bf9\u6bcf\u4e2a\u53d8\u91cf\u76f8\u5bf9\u4e8e\u6487\u53f7\u53d8\u91cf\u6c42\u5bfc\uff0c\u6211\u4eec\u5f97\u5230\uff1a \u800c\u6240\u6709\u5176\u4ed6\u7684\u5bfc\u6570\u90fd\u4e3a\u96f6\uff1a \u6709\u4e86\u8fd9\u4e9b\uff0c\u6211\u4eec\u73b0\u5728\u53ef\u4ee5\u901a\u8fc7\u94fe\u5f0f\u6cd5\u5219\u8ba1\u7b97 \u7684\u5bfc\u6570\uff1a \u540c\u6837\u5730\uff0c\u5bf9\u4e8e\u5176\u4ed6\u4e24\u4e2a\u7a7a\u95f4\u53d8\u91cf\uff1a \u7136\u800c\uff0c\u65f6\u95f4\u5bfc\u6570\u5c06\u4f1a\u663e\u793a\u4e00\u4e9b\u5dee\u5f02\uff1a \u4e8c\u9636\u5bfc\u6570\u7684\u53d8\u6362 \u5bf9\u4e8e\u7a7a\u95f4\u90e8\u5206\uff0c\u6211\u4eec\u53ef\u4ee5\u7ee7\u7eed\u6ca1\u6709\u592a\u5927\u56f0\u96be\uff0c\u7ed3\u679c\u662f\uff1a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":25587,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":29,"footnotes":""},"categories":[639,695],"tags":[],"class_list":["post-25608","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-639","category-695"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u4f3d\u5229\u7565\u53d8\u6362\u53ca\u5176\u5c40\u9650\u6027 - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"\u5728\u8fd9\u7bc7\u8be6\u7ec6\u7684\u5206\u6790\u4e2d\u53d1\u73b0\u4f3d\u5229\u7565\u5728\u7ecf\u5178\u529b\u5b66\u4e2d\u7684\u53d8\u6362\u53ca\u5176\u5f15\u4eba\u5165\u80dc\u7684\u5c40\u9650\u6027\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/toposuranos.com\/material\/zh\/\u4f3d\u5229\u7565\u53d8\u6362\u53ca\u5176\u5c40\u9650\u6027\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u4f3d\u5229\u7565\u53d8\u6362\u53ca\u5176\u5c40\u9650\u6027\" \/>\n<meta property=\"og:description\" content=\"\u5728\u8fd9\u7bc7\u8be6\u7ec6\u7684\u5206\u6790\u4e2d\u53d1\u73b0\u4f3d\u5229\u7565\u5728\u7ecf\u5178\u529b\u5b66\u4e2d\u7684\u53d8\u6362\u53ca\u5176\u5f15\u4eba\u5165\u80dc\u7684\u5c40\u9650\u6027\u3002\" \/>\n<meta property=\"og:url\" content=\"http:\/\/toposuranos.com\/material\/zh\/\u4f3d\u5229\u7565\u53d8\u6362\u53ca\u5176\u5c40\u9650\u6027\/\" \/>\n<meta property=\"og:site_name\" content=\"toposuranos.com\/material\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/groups\/toposuranos\" \/>\n<meta property=\"article:published_time\" content=\"2022-07-12T00:00:50+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-05-21T09:42:24+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2022\/07\/TRAGALILEOFLL-1024x585.jpg\" \/>\n<meta name=\"author\" content=\"giorgio.reveco\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"\u4f3d\u5229\u7565\u53d8\u6362\u53ca\u5176\u5c40\u9650\u6027\" \/>\n<meta name=\"twitter:description\" content=\"\u5728\u8fd9\u7bc7\u8be6\u7ec6\u7684\u5206\u6790\u4e2d\u53d1\u73b0\u4f3d\u5229\u7565\u5728\u7ecf\u5178\u529b\u5b66\u4e2d\u7684\u53d8\u6362\u53ca\u5176\u5f15\u4eba\u5165\u80dc\u7684\u5c40\u9650\u6027\u3002\" \/>\n<meta name=\"twitter:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2022\/07\/TRAGALILEOFLL.jpg\" \/>\n<meta name=\"twitter:creator\" content=\"@topuranos\" \/>\n<meta name=\"twitter:site\" content=\"@topuranos\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"giorgio.reveco\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tiempo de lectura\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minuto\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/zh\\\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\\\/#article\",\"isPartOf\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/zh\\\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\\\/\"},\"author\":{\"name\":\"giorgio.reveco\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/person\\\/e15164361c3f9a2a02cf6c234cf7fdc1\"},\"headline\":\"\u4f3d\u5229\u7565\u53d8\u6362\u53ca\u5176\u5c40\u9650\u6027\",\"datePublished\":\"2022-07-12T00:00:50+00:00\",\"dateModified\":\"2024-05-21T09:42:24+00:00\",\"mainEntityOfPage\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/zh\\\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\\\/\"},\"wordCount\":838,\"commentCount\":0,\"publisher\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#organization\"},\"image\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/zh\\\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\\\/#primaryimage\"},\"thumbnailUrl\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/TRAGALILEOFLL.jpg\",\"articleSection\":[\"\u7269\u7406\",\"\u76f8\u5bf9\u8bba\"],\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"http:\\\/\\\/toposuranos.com\\\/material\\\/zh\\\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/zh\\\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\\\/\",\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/zh\\\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\\\/\",\"name\":\"\u4f3d\u5229\u7565\u53d8\u6362\u53ca\u5176\u5c40\u9650\u6027 - toposuranos.com\\\/material\",\"isPartOf\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/zh\\\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\\\/#primaryimage\"},\"image\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/zh\\\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\\\/#primaryimage\"},\"thumbnailUrl\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/TRAGALILEOFLL.jpg\",\"datePublished\":\"2022-07-12T00:00:50+00:00\",\"dateModified\":\"2024-05-21T09:42:24+00:00\",\"description\":\"\u5728\u8fd9\u7bc7\u8be6\u7ec6\u7684\u5206\u6790\u4e2d\u53d1\u73b0\u4f3d\u5229\u7565\u5728\u7ecf\u5178\u529b\u5b66\u4e2d\u7684\u53d8\u6362\u53ca\u5176\u5f15\u4eba\u5165\u80dc\u7684\u5c40\u9650\u6027\u3002\",\"breadcrumb\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/zh\\\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\\\/#breadcrumb\"},\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"http:\\\/\\\/toposuranos.com\\\/material\\\/zh\\\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/zh\\\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\\\/#primaryimage\",\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/TRAGALILEOFLL.jpg\",\"contentUrl\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/TRAGALILEOFLL.jpg\",\"width\":1792,\"height\":1024,\"caption\":\"Las transformaciones de Galileo Fallan?\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/zh\\\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Portada\",\"item\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/es\\\/cursos-de-matematica-y-fisica\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u4f3d\u5229\u7565\u53d8\u6362\u53ca\u5176\u5c40\u9650\u6027\"}]},{\"@type\":\"WebSite\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#website\",\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/\",\"name\":\"toposuranos.com\\\/material\",\"description\":\"\",\"publisher\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"es\"},{\"@type\":\"Organization\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#organization\",\"name\":\"toposuranos.com\\\/material\",\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/logo.png\",\"contentUrl\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/logo.png\",\"width\":2400,\"height\":2059,\"caption\":\"toposuranos.com\\\/material\"},\"image\":{\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/www.facebook.com\\\/groups\\\/toposuranos\",\"https:\\\/\\\/x.com\\\/topuranos\",\"https:\\\/\\\/www.youtube.com\\\/channel\\\/UC16yDm12cPcrwsE0fAM7X1g\",\"https:\\\/\\\/www.linkedin.com\\\/company\\\/69429190\"]},{\"@type\":\"Person\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/person\\\/e15164361c3f9a2a02cf6c234cf7fdc1\",\"name\":\"giorgio.reveco\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/1694478625378-96x96.jpeg\",\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/1694478625378-96x96.jpeg\",\"contentUrl\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/1694478625378-96x96.jpeg\",\"caption\":\"giorgio.reveco\"},\"description\":\"Soy Licenciado en F\u00edsica, Magister en Ingenier\u00eda Industrial y Docente Universitario. Me dedico a desmitificar la f\u00edsica y las matem\u00e1ticas. Mi objetivo es hacer que estos campos sean f\u00e1cilmente comprensibles para todos, proporcionando las herramientas para explorar no solo el mundo que nos rodea, sino tambi\u00e9n las profundidades de nuestra propia existencia y el orden natural que nos conecta con el cosmos.\",\"sameAs\":[\"http:\\\/\\\/toposuranos.com\\\/material\"],\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/author\\\/giorgio-reveco\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u4f3d\u5229\u7565\u53d8\u6362\u53ca\u5176\u5c40\u9650\u6027 - toposuranos.com\/material","description":"\u5728\u8fd9\u7bc7\u8be6\u7ec6\u7684\u5206\u6790\u4e2d\u53d1\u73b0\u4f3d\u5229\u7565\u5728\u7ecf\u5178\u529b\u5b66\u4e2d\u7684\u53d8\u6362\u53ca\u5176\u5f15\u4eba\u5165\u80dc\u7684\u5c40\u9650\u6027\u3002","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":"http:\/\/toposuranos.com\/material\/zh\/\u4f3d\u5229\u7565\u53d8\u6362\u53ca\u5176\u5c40\u9650\u6027\/","og_locale":"es_ES","og_type":"article","og_title":"\u4f3d\u5229\u7565\u53d8\u6362\u53ca\u5176\u5c40\u9650\u6027","og_description":"\u5728\u8fd9\u7bc7\u8be6\u7ec6\u7684\u5206\u6790\u4e2d\u53d1\u73b0\u4f3d\u5229\u7565\u5728\u7ecf\u5178\u529b\u5b66\u4e2d\u7684\u53d8\u6362\u53ca\u5176\u5f15\u4eba\u5165\u80dc\u7684\u5c40\u9650\u6027\u3002","og_url":"http:\/\/toposuranos.com\/material\/zh\/\u4f3d\u5229\u7565\u53d8\u6362\u53ca\u5176\u5c40\u9650\u6027\/","og_site_name":"toposuranos.com\/material","article_publisher":"https:\/\/www.facebook.com\/groups\/toposuranos","article_published_time":"2022-07-12T00:00:50+00:00","article_modified_time":"2024-05-21T09:42:24+00:00","og_image":[{"url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2022\/07\/TRAGALILEOFLL-1024x585.jpg","type":"","width":"","height":""}],"author":"giorgio.reveco","twitter_card":"summary_large_image","twitter_title":"\u4f3d\u5229\u7565\u53d8\u6362\u53ca\u5176\u5c40\u9650\u6027","twitter_description":"\u5728\u8fd9\u7bc7\u8be6\u7ec6\u7684\u5206\u6790\u4e2d\u53d1\u73b0\u4f3d\u5229\u7565\u5728\u7ecf\u5178\u529b\u5b66\u4e2d\u7684\u53d8\u6362\u53ca\u5176\u5f15\u4eba\u5165\u80dc\u7684\u5c40\u9650\u6027\u3002","twitter_image":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2022\/07\/TRAGALILEOFLL.jpg","twitter_creator":"@topuranos","twitter_site":"@topuranos","twitter_misc":{"Escrito por":"giorgio.reveco","Tiempo de lectura":"1 minuto"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"http:\/\/toposuranos.com\/material\/zh\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\/#article","isPartOf":{"@id":"http:\/\/toposuranos.com\/material\/zh\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\/"},"author":{"name":"giorgio.reveco","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1"},"headline":"\u4f3d\u5229\u7565\u53d8\u6362\u53ca\u5176\u5c40\u9650\u6027","datePublished":"2022-07-12T00:00:50+00:00","dateModified":"2024-05-21T09:42:24+00:00","mainEntityOfPage":{"@id":"http:\/\/toposuranos.com\/material\/zh\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\/"},"wordCount":838,"commentCount":0,"publisher":{"@id":"http:\/\/toposuranos.com\/material\/#organization"},"image":{"@id":"http:\/\/toposuranos.com\/material\/zh\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\/#primaryimage"},"thumbnailUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2022\/07\/TRAGALILEOFLL.jpg","articleSection":["\u7269\u7406","\u76f8\u5bf9\u8bba"],"inLanguage":"es","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["http:\/\/toposuranos.com\/material\/zh\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\/#respond"]}]},{"@type":"WebPage","@id":"http:\/\/toposuranos.com\/material\/zh\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\/","url":"http:\/\/toposuranos.com\/material\/zh\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\/","name":"\u4f3d\u5229\u7565\u53d8\u6362\u53ca\u5176\u5c40\u9650\u6027 - toposuranos.com\/material","isPartOf":{"@id":"http:\/\/toposuranos.com\/material\/#website"},"primaryImageOfPage":{"@id":"http:\/\/toposuranos.com\/material\/zh\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\/#primaryimage"},"image":{"@id":"http:\/\/toposuranos.com\/material\/zh\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\/#primaryimage"},"thumbnailUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2022\/07\/TRAGALILEOFLL.jpg","datePublished":"2022-07-12T00:00:50+00:00","dateModified":"2024-05-21T09:42:24+00:00","description":"\u5728\u8fd9\u7bc7\u8be6\u7ec6\u7684\u5206\u6790\u4e2d\u53d1\u73b0\u4f3d\u5229\u7565\u5728\u7ecf\u5178\u529b\u5b66\u4e2d\u7684\u53d8\u6362\u53ca\u5176\u5f15\u4eba\u5165\u80dc\u7684\u5c40\u9650\u6027\u3002","breadcrumb":{"@id":"http:\/\/toposuranos.com\/material\/zh\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\/#breadcrumb"},"inLanguage":"es","potentialAction":[{"@type":"ReadAction","target":["http:\/\/toposuranos.com\/material\/zh\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\/"]}]},{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/zh\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\/#primaryimage","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2022\/07\/TRAGALILEOFLL.jpg","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2022\/07\/TRAGALILEOFLL.jpg","width":1792,"height":1024,"caption":"Las transformaciones de Galileo Fallan?"},{"@type":"BreadcrumbList","@id":"http:\/\/toposuranos.com\/material\/zh\/%e4%bc%bd%e5%88%a9%e7%95%a5%e5%8f%98%e6%8d%a2%e5%8f%8a%e5%85%b6%e5%b1%80%e9%99%90%e6%80%a7\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Portada","item":"http:\/\/toposuranos.com\/material\/es\/cursos-de-matematica-y-fisica\/"},{"@type":"ListItem","position":2,"name":"\u4f3d\u5229\u7565\u53d8\u6362\u53ca\u5176\u5c40\u9650\u6027"}]},{"@type":"WebSite","@id":"http:\/\/toposuranos.com\/material\/#website","url":"http:\/\/toposuranos.com\/material\/","name":"toposuranos.com\/material","description":"","publisher":{"@id":"http:\/\/toposuranos.com\/material\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"http:\/\/toposuranos.com\/material\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"es"},{"@type":"Organization","@id":"http:\/\/toposuranos.com\/material\/#organization","name":"toposuranos.com\/material","url":"http:\/\/toposuranos.com\/material\/","logo":{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png","width":2400,"height":2059,"caption":"toposuranos.com\/material"},"image":{"@id":"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/groups\/toposuranos","https:\/\/x.com\/topuranos","https:\/\/www.youtube.com\/channel\/UC16yDm12cPcrwsE0fAM7X1g","https:\/\/www.linkedin.com\/company\/69429190"]},{"@type":"Person","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1","name":"giorgio.reveco","image":{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","caption":"giorgio.reveco"},"description":"Soy Licenciado en F\u00edsica, Magister en Ingenier\u00eda Industrial y Docente Universitario. Me dedico a desmitificar la f\u00edsica y las matem\u00e1ticas. Mi objetivo es hacer que estos campos sean f\u00e1cilmente comprensibles para todos, proporcionando las herramientas para explorar no solo el mundo que nos rodea, sino tambi\u00e9n las profundidades de nuestra propia existencia y el orden natural que nos conecta con el cosmos.","sameAs":["http:\/\/toposuranos.com\/material"],"url":"http:\/\/toposuranos.com\/material\/author\/giorgio-reveco\/"}]}},"_links":{"self":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/25608","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/comments?post=25608"}],"version-history":[{"count":0,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/25608\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media\/25587"}],"wp:attachment":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media?parent=25608"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/categories?post=25608"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/tags?post=25608"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}