{"id":27298,"date":"2023-12-26T13:00:12","date_gmt":"2023-12-26T13:00:12","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=27298"},"modified":"2024-06-30T21:28:20","modified_gmt":"2024-06-30T21:28:20","slug":"%e9%97%b5%e5%8f%af%e5%a4%ab%e6%96%af%e5%9f%ba%e6%97%b6%e7%a9%ba","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/zh\/%e9%97%b5%e5%8f%af%e5%a4%ab%e6%96%af%e5%9f%ba%e6%97%b6%e7%a9%ba\/","title":{"rendered":"\u95f5\u53ef\u592b\u65af\u57fa\u65f6\u7a7a"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n<center><\/p>\n<h1>\u72ed\u4e49\u76f8\u5bf9\u8bba\u4e2d\u7684\u65f6\u7a7a<\/h1>\n<p class=\"eq\"><em><strong>\u6458\u8981\uff1a<\/strong><br \/>\n\u5728\u672c\u8bfe\u4e2d\uff0c\u6211\u4eec\u5c06\u56de\u987e\u72ed\u4e49\u76f8\u5bf9\u8bba\u4e2d\u7684\u6d1b\u4f26\u5179\u53d8\u6362\uff0c\u6311\u6218\u7edd\u5bf9\u65f6\u95f4\u7684\u6982\u5ff5\uff0c\u5e76\u786e\u5b9a\u5149\u901f\u5728\u6240\u6709\u60ef\u6027\u53c2\u8003\u7cfb\u4e2d\u662f\u6052\u5b9a\u7684\u3002\u6211\u4eec\u5c06\u63a2\u7d22\u8fd9\u4e9b\u53d8\u6362\u5982\u4f55\u8fde\u63a5\u4e0d\u540c\u60ef\u6027\u53c2\u8003\u7cfb\u4e2d\u7684\u4e8b\u4ef6\u7684\u65f6\u7a7a\u5750\u6807\u3002\u672c\u7814\u7a76\u6df1\u5165\u63a2\u8ba8\u4e86\u65f6\u95f4\u548c\u7a7a\u95f4\u5750\u6807\u4e4b\u95f4\u7684\u5bf9\u79f0\u6027\uff0c\u5e76\u4ecb\u7ecd\u4e86<strong>\u95f5\u53ef\u592b\u65af\u57fa\u65f6\u7a7a\uff0c<\/strong>\u8fd9\u662f\u72ed\u4e49\u76f8\u5bf9\u8bba\u4e2d\u7684\u4e00\u4e2a\u57fa\u672c\u6a21\u578b\uff0c\u5c06\u7a7a\u95f4\u548c\u65f6\u95f4\u7ed3\u5408\u6210\u4e00\u4e2a\u56db\u7ef4\u7ed3\u6784\u3002\u6211\u4eec\u5c06\u8bc1\u660e\uff0c\u4e0e\u7eaf\u65f6\u95f4\u548c\u7a7a\u95f4\u7684\u957f\u5ea6\u4e0d\u540c\uff0c\u65f6\u7a7a\u7684\u957f\u5ea6\u5728\u6d1b\u4f26\u5179\u53d8\u6362\u4e0b\u4fdd\u6301\u4e0d\u53d8\uff0c\u8fd9\u5bf9\u7406\u8bba\u7269\u7406\u5b66\u548c\u6211\u4eec\u5bf9\u5b87\u5b99\u7684\u7406\u89e3\u5177\u6709\u91cd\u8981\u610f\u4e49\u3002<\/br><\/em><\/p>\n<p><\/center><\/p>\n<p style=\"text-align:center;\"><strong>\u5b66\u4e60\u76ee\u6807\uff1a<\/strong><br \/>\n\u5728\u672c\u8bfe\u7ed3\u675f\u65f6\uff0c\u5b66\u751f\u5c06\u80fd\u591f\uff1a<\/p>\n<ol>\n<li><strong>\u7406\u89e3<\/strong>\u95f5\u53ef\u592b\u65af\u57fa\u65f6\u7a7a\u7684\u6982\u5ff5\u4ee5\u53ca\u8fd9\u4e2a\u6a21\u578b\u5982\u4f55\u5c06\u7a7a\u95f4\u548c\u65f6\u95f4\u7ed3\u5408\u6210\u4e00\u4e2a\u56db\u7ef4\u7ed3\u6784\u3002<\/li>\n<li><strong>\u5e94\u7528<\/strong>\u6d1b\u4f26\u5179\u53d8\u6362\u8ba1\u7b97\u4e0d\u540c\u60ef\u6027\u53c2\u8003\u7cfb\u4e2d\u7684\u4e8b\u4ef6\u7684\u65f6\u7a7a\u5750\u6807\u53d8\u5316\u3002<\/li>\n<li><strong>\u5206\u6790<\/strong>\u65f6\u95f4\u81a8\u80c0\u548c\u7a7a\u95f4\u6536\u7f29\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u7406\u89e3\u8fd9\u4e9b\u6548\u5e94\u5982\u4f55\u7531\u89c2\u5bdf\u8005\u7684\u901f\u5ea6\u4e0e\u5149\u901f\u7684\u5173\u7cfb\u5f15\u8d77\u3002<\/li>\n<\/ol>\n<p><center><\/p>\n<p><strong>\u76ee\u5f55<\/strong><br \/>\n<a href=\"#1\"><strong>\u6d1b\u4f26\u5179\u53d8\u6362\u56de\u987e<\/strong><\/a><br \/>\n<a href=\"#2\"><strong>\u95f5\u53ef\u592b\u65af\u57fa\u65f6\u7a7a<\/strong><\/a><br \/>\n<a href=\"#3\"><strong>\u6d1b\u4f26\u5179\u53d8\u6362\u4e0b\u7a7a\u95f4\u3001\u65f6\u95f4\u548c\u65f6\u7a7a\u957f\u5ea6\u7684\u53d8\u5316<\/strong><\/a><br \/>\n<a href=\"#4\">\u7eaf\u65f6\u95f4\u957f\u5ea6\u7684\u63a8\u5bfc<\/a><br \/>\n<a href=\"#5\">\u7eaf\u7a7a\u95f4\u957f\u5ea6\u7684\u63a8\u5bfc<\/a><br \/>\n<a href=\"#6\">\u65f6\u7a7a\u957f\u5ea6\u7684\u63a8\u5bfc<\/a><br \/>\n<a href=\"#7\"><strong>\u7ed3\u8bba<\/strong><\/a>\n<\/p>\n<p><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/6tVlrcyVV8g?si=FUG1kS6GfPgp7Boh\" 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>\u6d1b\u4f26\u5179\u53d8\u6362\u56de\u987e<\/h2>\n<p style=\"text-align:justify;\">\u5728\u72ed\u4e49\u76f8\u5bf9\u8bba\u4e2d\uff0c\u7edd\u5bf9\u65f6\u95f4\u7684\u6982\u5ff5\u88ab\u629b\u5f03\u3002\u53d6\u800c\u4ee3\u4e4b\u7684\u662f\uff0c\u5149\u901f<span class=\"katex-eq\" data-katex-display=\"false\">c<\/span>\u5728\u6240\u6709\u60ef\u6027\u53c2\u8003\u7cfb\u4e2d\u90fd\u662f\u6052\u5b9a\u7684\u3002\u8fd9\u4e2a\u53d8\u5316\uff0c\u52a0\u4e0a\u76f8\u5bf9\u6027\u539f\u7406\uff0c\u5bfc\u81f4\u4e86\u6d1b\u4f26\u5179\u53d8\u6362\u3002\u8fd9\u4e9b\u53d8\u6362\u8fde\u63a5\u4e86\u4ece\u4e24\u4e2a\u4e0d\u540c\u60ef\u6027\u53c2\u8003\u7cfb\u89c2\u5bdf\u5230\u7684\u4e8b\u4ef6\u7684\u65f6\u7a7a\u5750\u6807\u3002\u8fd9\u4e2a\u4e3b\u9898\u5728<a href=\"http:\/\/toposuranos.com\/material\/es\/las-transformaciones-de-lorentz-de-la-relatividad-especial\/\" rel=\"noopener\" target=\"_blank\">\u72ed\u4e49\u76f8\u5bf9\u8bba\u4e2d\u7684\u6d1b\u4f26\u5179\u53d8\u6362<\/a>\u8bfe\u7a0b\u4e2d\u8be6\u7ec6\u63a2\u8ba8\u3002<\/p>\n<p style=\"text-align:justify;\">\u8003\u8651\u6807\u51c6\u914d\u7f6e\u4e2d\u7684\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>\uff0c\u5b83\u4eec\u7684\u8f74\u548c\u539f\u70b9\u5728<span class=\"katex-eq\" data-katex-display=\"false\">t=t^\\prime =0<\/span>\u5904\u91cd\u5408\uff0c\u5e76\u4e14\u5728<span class=\"katex-eq\" data-katex-display=\"false\">t=t^\\prime = 0<\/span>\u4ece\u539f\u70b9\u53d1\u5c04\u7684\u5149\u5b50\uff0c\u5176\u5728\u6bcf\u4e2a\u53c2\u8003\u7cfb\u4e2d\u7684\u65f6\u7a7a\u5750\u6807\u5fc5\u987b\u6ee1\u8db3\u4ee5\u4e0b\u65b9\u7a0b\uff1a<\/p>\n<p style=\"text-align:center;\"><bdi><span class=\"katex-eq\" data-katex-display=\"false\">\nc^2t^2 - x^2 - y^2 - z^2 = c^2{t^\\prime}^2 - {x^\\prime}^2 - {y^\\prime}^2 - {z^\\prime}^2 = 0.\n\n<\/span><\/bdi><\/p>\n<p style=\"text-align:justify;\">\u4ece\u8fd9\u4e2a\u65b9\u7a0b\u548c\u76f8\u5bf9\u6027\u539f\u7406\u53ef\u4ee5\u63a8\u5bfc\u51fa\u8457\u540d\u7684\u6d1b\u4f26\u5179\u53d8\u6362\uff1a<\/p>\n<p style=\"text-align:center;\"><bdi><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\nct^\\prime &amp;= \\gamma_{ss^\\prime_x}(ct - \\beta_{ss^\\prime_x} x), \\\\\n\nx^\\prime &amp;= \\gamma_{ss^\\prime_x}(x - \\beta_{ss^\\prime_x} ct), \\\\\n\ny^\\prime &amp;= y, \\\\\n\nz^\\prime &amp;= z.\n\n\\end{array}\n\n<\/span><\/bdi><\/p>\n<p style=\"text-align:justify;\">\u5176\u4e2d<span class=\"katex-eq\" data-katex-display=\"false\">\\beta_{ss^\\prime_x} =v_{ss^\\prime_x}\/c<\/span>\u662f<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}<\/span>\u8fd0\u52a8\u65f6\u7684\u901f\u5ea6\u63d0\u5347\uff0c<span class=\"katex-eq\" data-katex-display=\"false\">\\gamma_{ss^\\prime_x} = 1\/\\sqrt{1-\\beta_{ss^\\prime_x}^2}<\/span>\u662f\u76f8\u5e94\u7684\u6d1b\u4f26\u5179\u56e0\u5b50\u3002\u5728<span class=\"katex-eq\" data-katex-display=\"false\">v_{ss^\\prime_x} \\ll c<\/span>\u65f6\uff0c\u6cbf<span class=\"katex-eq\" data-katex-display=\"false\">\\hat{x}<\/span>\u65b9\u5411\u7684\u6d1b\u4f26\u5179\u53d8\u6362\u7b80\u5316\u4e3a\u4f3d\u5229\u7565\u53d8\u6362\u3002<\/p>\n<p style=\"text-align:justify;\">\u4e0e\u4f3d\u5229\u7565\u53d8\u6362\u7c7b\u4f3c\uff0c\u5b58\u5728\u4e00\u79cd\u5bf9\u79f0\u6027\u4f7f\u5f97\u8ba1\u7b97\u9006\u53d8\u6362\u53d8\u5f97\u7b80\u5355\uff0c\u53ea\u9700\u4ea4\u6362\u672f\u8bed\u5e76\u8003\u8651<span class=\"katex-eq\" data-katex-display=\"false\">\\beta_{ss^\\prime_x} = -\\beta_{s^\\prime s_x}<\/span>\uff1a<\/p>\n<p style=\"text-align:center;\"><bdi><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\n ct &amp;= \\gamma_{ss^\\prime_x}(ct^\\prime + \\beta_{ss^\\prime_x} x^\\prime),\\\\\n\n  x &amp;= \\gamma_{ss^\\prime_x}(x^\\prime + \\beta_{ss^\\prime_x} ct^\\prime),\\\\\n\n  y &amp;= y^\\prime, \\\\\n\n  z &amp;= z^\\prime.\n\n\\end{array}<\/span><\/bdi><\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u95f5\u53ef\u592b\u65af\u57fa\u65f6\u7a7a<\/h2>\n<p style=\"text-align:justify;\">\n\u6d1b\u4f26\u5179\u53d8\u6362\u63ed\u793a\u4e86\u65f6\u7a7a\u5750\u6807\u4e4b\u95f4\u5185\u5728\u7684\u8054\u7cfb\u3002\u8fd9\u79cd\u5173\u7cfb\u5728<span class=\"katex-eq\" data-katex-display=\"false\">ct<\/span>\u548c<span class=\"katex-eq\" data-katex-display=\"false\">x<\/span>\u4e4b\u95f4\u7684\u5bf9\u79f0\u6027\u4e2d\u5c24\u4e3a\u660e\u663e\u3002\u8003\u8651\u4e24\u4e2a\u4e8b\u4ef6\uff0c <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u548c <span class=\"katex-eq\" data-katex-display=\"false\">B<\/span>\uff0c\u5176\u5750\u6807\u5206\u522b\u4e3a <bdi><span class=\"katex-eq\" data-katex-display=\"false\">(ct_A, x_A, y_A, z_A)<\/span><\/bdi> \u548c <bdi><span class=\"katex-eq\" data-katex-display=\"false\">(ct_B, x_B, y_B, z_B)<\/span><\/bdi>\u3002\u5728\u53c2\u8003\u7cfb<span class=\"katex-eq\" data-katex-display=\"false\">S<\/span>\u4e2d\uff0c\u6211\u4eec\u5b9a\u4e49\u4e8c\u6b21\u8ddd\u79bb\u5982\u4e0b\uff1a\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\n\\Delta s^2 &amp;= c^2(t_B - t_A)^2 - (x_B - x_A)^2 - (y_B - y_A)^2 - (z_B - z_A)^2 \\\\ \\\\\n\n&amp;= c^2\\Delta t^2 - \\Delta x^2 - \\Delta y^2 - \\Delta z^2 \\\\ \\\\\n\n&amp;= c^2\\Delta t^2 - (\\Delta x^2 + \\Delta y^2 + \\Delta z^2)\n\n\\end{array}<\/span><\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u65f6\u7a7a\u8ddd\u79bb\uff0c <span class=\"katex-eq\" data-katex-display=\"false\">\\Delta s<\/span>\uff0c \u8868\u793a\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\">\\Delta s = \\sqrt{c^2\\Delta t^2 - (\\Delta x^2 + \\Delta y^2 + \\Delta z^2)}<\/span>\u3002\u8fd9\u91cc\uff0c <span class=\"katex-eq\" data-katex-display=\"false\">\\Delta t<\/span> \u4ee3\u8868\u65f6\u95f4\u957f\u5ea6\uff0c<span class=\"katex-eq\" data-katex-display=\"false\">\\Delta r = \\sqrt{\\Delta x^2 + \\Delta y^2 + \\Delta z^2}<\/span> \u662f\u7a7a\u95f4\u957f\u5ea6\u3002\n<\/p>\n<p style=\"text-align:justify;\">\n<strong>\u95f5\u53ef\u592b\u65af\u57fa\u65f6\u7a7a<\/strong>\uff0c\u4ee5\u8fd9\u79cd\u65f6\u7a7a\u8ddd\u79bb <span class=\"katex-eq\" data-katex-display=\"false\">\\Delta s<\/span> \u7684\u6982\u5ff5\u4e3a\u7279\u5f81\uff0c\u662f\u72ed\u4e49\u76f8\u5bf9\u8bba\u4e2d\u7684\u4e00\u4e2a\u57fa\u672c\u6a21\u578b\u3002\u5b83\u7531<a href=\"https:\/\/es.wikipedia.org\/wiki\/Hermann_Minkowski\" rel=\"noopener\" target=\"_blank\">\u8d6b\u5c14\u66fc\u00b7\u95f5\u53ef\u592b\u65af\u57fa<\/a>\u63d0\u51fa\uff0c\u4e0e\u7a7a\u95f4\u548c\u65f6\u95f4\u5750\u6807\u4e0d\u540c\uff0c\u5b83\u5728\u6d1b\u4f26\u5179\u53d8\u6362\u4e0b\u4fdd\u6301\u4e0d\u53d8\u3002\n<\/p>\n<p style=\"text-align:center;\"><bdi><span class=\"katex-eq\" data-katex-display=\"false\">\\Delta s = \\Delta s^\\prime<\/span><\/bdi><\/p>\n<p style=\"text-align:justify;\">\n\u5728\u8fd9\u4e2a\u6a21\u578b\u4e2d\uff0c\u7a7a\u95f4\u548c\u65f6\u95f4\u7ed3\u5408\u6210\u4e00\u4e2a\u56db\u7ef4\u8fde\u7eed\u4f53\u3002\u4e0d\u540c\u4e8e\u6b27\u51e0\u91cc\u5f97\u51e0\u4f55\uff0c\u95f5\u53ef\u592b\u65af\u57fa\u65f6\u7a7a\u7684\u51e0\u4f55\u662f\u4f2a\u6b27\u51e0\u91cc\u5f97\u51e0\u4f55\uff0c\u56e0\u4e3a\u5176\u7a7a\u95f4\u5206\u91cf\u6709\u8d1f\u53f7\u3002\u7136\u800c\uff0c\u5bf9\u4e8e\u4e00\u4e2a\u6052\u5b9a\u7684\u65f6\u95f4<span class=\"katex-eq\" data-katex-display=\"false\">t<\/span>\uff0c\u95f5\u53ef\u592b\u65af\u57fa\u7684\u7a7a\u95f4\u51e0\u4f55\u4ecd\u7136\u662f\u6b27\u51e0\u91cc\u5f97\u51e0\u4f55\u3002\n<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u6d1b\u4f26\u5179\u53d8\u6362\u4e0b\u7a7a\u95f4\u3001\u65f6\u95f4\u548c\u65f6\u7a7a\u957f\u5ea6\u7684\u53d8\u5316<\/h2>\n<p style=\"text-align:justify;\">\u5982\u524d\u6240\u8ff0\uff0c\u65f6\u7a7a\u957f\u5ea6<bdi><span class=\"katex-eq\" data-katex-display=\"false\">\\Delta s<\/span><\/bdi>\u5728\u6d1b\u4f26\u5179\u53d8\u6362\u4e0b\u662f\u4fdd\u6301\u4e0d\u53d8\u7684\uff0c\u6b64\u5916\uff0c\u65f6\u95f4\u548c\u7a7a\u95f4\u7684\u957f\u5ea6\u5206\u522b\u5728\u8fd9\u4e9b\u53d8\u6362\u4e0b\u4f1a\u6539\u53d8\u3002\u63a5\u4e0b\u6765\u6211\u4eec\u5c06\u4e00\u6b65\u6b65\u8bc1\u660e\u8fd9\u4e9b\u4e8b\u5b9e\u3002<\/p>\n<p><p style=\"text-align:justify;\">\u9996\u5148\uff0c\u6211\u4eec\u56de\u5fc6\u4e00\u4e0b\u6700\u521d\u8003\u8651\u7684\u4e8b\u4ef6<bdi><span class=\"katex-eq\" data-katex-display=\"false\">A<\/span><\/bdi>\u548c<bdi><span class=\"katex-eq\" data-katex-display=\"false\">B<\/span><\/bdi>\u53ca\u5176\u76f8\u5bf9\u4e8e\u7cfb\u7edf<bdi><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/bdi>\u7684\u65f6\u7a7a\u5750\u6807\uff1a<\/p>\n<ul>\n<li> <strong>\u4e8b\u4ef6 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">A<\/span><\/bdi>\uff1a<\/strong> <bdi><span class=\"katex-eq\" data-katex-display=\"false\">(ct_A,x_A, y_A, z_A)<\/span><\/bdi><\/li>\n<li> <strong>\u4e8b\u4ef6 <bdi><span class=\"katex-eq\" data-katex-display=\"false\">B<\/span><\/bdi>\uff1a<\/strong> <bdi><span class=\"katex-eq\" data-katex-display=\"false\">(ct_B,x_B, y_B, z_B)<\/span><\/bdi><\/li>\n<\/ul>\n<p style=\"text-align:justify;\">\u5bf9\u4e8e\u8fd9\u4e9b\u63a8\u5bfc\uff0c\u6211\u4eec\u5c06\u5728\u6807\u51c6\u914d\u7f6e\u4e2d\u4f7f\u7528\u7cfb\u7edf<bdi><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/bdi>\u548c<bdi><span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span><\/bdi>\u7684\u6d1b\u4f26\u5179\u53d8\u6362\uff0c\u5176\u4e2d<bdi><span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span><\/bdi>\u4ee5\u901f\u5ea6<bdi><span class=\"katex-eq\" data-katex-display=\"false\">\\vec{v}_{ss^\\prime_x}= v_{ss^\\prime_x} \\hat{x} = \\beta_{ss^\\prime_x}c \\hat{x}<\/span><\/bdi>\u76f8\u5bf9\u4e8e<bdi><span class=\"katex-eq\" data-katex-display=\"false\">S<\/span><\/bdi>\u8fd0\u52a8\u3002<\/p>\n<p style=\"text-align:center;\"><bdi><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\nct^\\prime &amp;= \\gamma_{ss^\\prime_x}(ct - \\beta_{ss^\\prime_x} x), \\\\\n\nx^\\prime &amp;= \\gamma_{ss^\\prime_x}(x - \\beta_{ss^\\prime_x} ct), \\\\\n\ny^\\prime &amp;= y, \\\\\n\nz^\\prime &amp;= z.\n\n\\end{array}\n\n<\/span><\/bdi><\/p>\n<p><a name=\"4\"><\/a><\/p>\n<h3>\u7eaf\u65f6\u95f4\u957f\u5ea6\u7684\u63a8\u5bfc<\/h3>\n<p style=\"text-align:justify;\">\n\u5047\u8bbe\u5728\u53c2\u8003\u7cfb<span class=\"katex-eq\" data-katex-display=\"false\">S<\/span>\u4e2d\u89c2\u5bdf\u5230\u7684\u4e8b\u4ef6<span class=\"katex-eq\" data-katex-display=\"false\">A<\/span>\u548c<span class=\"katex-eq\" data-katex-display=\"false\">B<\/span>\u53ea\u5728\u65f6\u95f4\u4e0a\u5206\u79bb\uff0c\u5c31\u50cf\u949f\u8868\u7684\u6ef4\u7b54\u58f0\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6ef4\u7b54\u4e4b\u95f4\u7684\u65f6\u95f4\u95f4\u9694\u5c06\u5982\u4e0b\u8ba1\u7b97\uff1a\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><span class=\"katex-eq\" data-katex-display=\"false\">c\\Delta t = c(t_B - t_A)<\/span><\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u53e6\u4e00\u65b9\u9762\uff0c\u4ece<span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span>\u89c2\u5bdf\u5230\u7684\u540c\u4e00\u5bf9\u4e8b\u4ef6\u7684\u65f6\u95f4\u5206\u79bb\u5c06\u662f\uff1a\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><span class=\"katex-eq\" data-katex-display=\"false\">c\\Delta t^\\prime = c(t^\\prime_B - t^\\prime_A)<\/span><\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u8fd9\u4e9b\u65f6\u95f4\u5206\u79bb\u901a\u8fc7\u6d1b\u4f26\u5179\u53d8\u6362\u7684\u5173\u7cfb\u5982\u4e0b\uff1a\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><br \/>\n<span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\nc\\Delta t^\\prime &amp;= c(t^\\prime_B - t^\\prime_A) \\\\ \\\\\n\n&amp;= ct^\\prime_B - ct^\\prime_A \\\\ \\\\\n\n&amp;= \\gamma_{ss^\\prime_x}(ct_B - \\beta_{ss^\\prime_x} x_B) - \\gamma_{ss^\\prime_x}(ct_A - \\beta_{ss^\\prime_x} x_A) \\\\ \\\\\n\n&amp;= \\gamma_{ss^\\prime_x}c \\Delta t - \\gamma_{ss^\\prime_x} \\beta_{ss^\\prime_x} \\Delta x\n\n\\end{array}\n\n<\/span>\n<\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u73b0\u5728\uff0c\u7531\u4e8e\u4e8b\u4ef6<span class=\"katex-eq\" data-katex-display=\"false\">A<\/span>\u548c<span class=\"katex-eq\" data-katex-display=\"false\">B<\/span>\u5bf9\u4e8e\u53c2\u8003\u7cfb<span class=\"katex-eq\" data-katex-display=\"false\">S<\/span>\u7684\u89c2\u5bdf\u8005\u800c\u8a00\u4ec5\u5728\u65f6\u95f4\u4e0a\u5206\u79bb\uff0c\u6211\u4eec\u6709<span class=\"katex-eq\" data-katex-display=\"false\">\\Delta x = 0<\/span>\u3002\u56e0\u6b64\uff1a\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><span class=\"katex-eq\" data-katex-display=\"false\">\\boxed{\\Delta t^\\prime = \\gamma_{ss^\\prime_x} \\Delta t}<\/span><\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u91cd\u8981\u7684\u662f\u8981\u6ce8\u610f\uff1a\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><span class=\"katex-eq\" data-katex-display=\"false\">\\gamma_{ss^\\prime_x} = \\dfrac{1}{\\sqrt{1 - \\beta^2_{ss^\\prime_x}}} \\in [1, +\\infin[<\/span><\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u8fd9\u662f\u56e0\u4e3a<span class=\"katex-eq\" data-katex-display=\"false\">\\beta^2_{ss^\\prime_x} = \\dfrac{v^2_{ss^\\prime_x}}{c^2} \\in [0,1[<\/span>\u3002\n<\/p>\n<p style=\"text-align:justify;\">\n\u7b80\u800c\u8a00\u4e4b\uff0c\u5982\u679c\u53c2\u8003\u7cfb<span class=\"katex-eq\" data-katex-display=\"false\">S<\/span>\u4e2d\u7684\u89c2\u5bdf\u8005\u6d4b\u91cf\u4e00\u4e2a\u65f6\u95f4\u95f4\u9694<span class=\"katex-eq\" data-katex-display=\"false\">\\Delta t<\/span>\uff0c\u5c31\u50cf\u949f\u8868\u7684\u6ef4\u7b54\u58f0\uff0c\u90a3\u4e48\u53c2\u8003\u7cfb<span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span>\u4e2d\u7684\u89c2\u5bdf\u8005\u5c06\u6d4b\u91cf\u8fd9\u4e2a\u76f8\u540c\u7684\u65f6\u95f4\u95f4\u9694\u4e3a<span class=\"katex-eq\" data-katex-display=\"false\">\\gamma_{ss^\\prime_x} \\Delta t<\/span>\uff0c\u8fd9\u662f\u5927\u4e8e\u6216\u7b49\u4e8e<span class=\"katex-eq\" data-katex-display=\"false\">\\Delta t<\/span>\u3002\u8fd9\u4e2a\u6548\u5e94\u88ab\u79f0\u4e3a\u65f6\u95f4\u81a8\u80c0\uff0c\u8868\u660e\u5728\u7ecf\u5386\u901f\u5ea6\u63d0\u5347<span class=\"katex-eq\" data-katex-display=\"false\">\\beta_{ss^\\prime_x}<\/span>\u7684\u60ef\u6027\u53c2\u8003\u7cfb\u4e4b\u95f4\uff0c\u65f6\u95f4\u4f1a\u5ef6\u957f\u3002\u56e0\u6b64\uff0c\u65f6\u95f4\u7684\u6d41\u901d\u5bf9\u4e8e\u6240\u6709\u60ef\u6027\u89c2\u5bdf\u8005\u6765\u8bf4\u4e0d\u662f\u76f8\u540c\u7684\uff0c\u8bc1\u660e\u65f6\u95f4\u957f\u5ea6\u5728\u6d1b\u4f26\u5179\u53d8\u6362\u4e0b\u662f\u4e0d\u53d8\u7684\u3002\n<\/p>\n<p><a name=\"5\"><\/a><\/p>\n<h3>\u7eaf\u7a7a\u95f4\u957f\u5ea6\u7684\u63a8\u5bfc<\/h3>\n<p style=\"text-align:justify;\">\n\u5047\u8bbe\u4e8b\u4ef6<span class=\"katex-eq\" data-katex-display=\"false\">A<\/span>\u548c<span class=\"katex-eq\" data-katex-display=\"false\">B<\/span>\u4ec5\u5728\u7a7a\u95f4\u4e0a\u5206\u79bb\uff0c\u5c31\u50cf\u5c3a\u5b50\u7684\u4e24\u7aef\u3002\u5047\u8bbe\uff0c\u7a7a\u95f4\u53c2\u8003\u7cfb<span class=\"katex-eq\" data-katex-display=\"false\">S<\/span>\u4e2d\u8fd9\u628a\u5c3a\u5b50\u6cbf\u7740<span class=\"katex-eq\" data-katex-display=\"false\">\\hat{x}<\/span>\u8f74\u6392\u5217\u3002\u90a3\u4e48\uff0c\u6211\u4eec\u5c06\u6709\uff1a\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><span class=\"katex-eq\" data-katex-display=\"false\">\\Delta x = x_B - x_A<\/span><\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u4ece<span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span>\u53c2\u8003\u7cfb\u6765\u770b\uff0c\u8fd9\u4e2a\u7a7a\u95f4\u5206\u79bb\u5c06\u662f\uff1a\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><span class=\"katex-eq\" data-katex-display=\"false\">\\Delta x^\\prime = x^\\prime_B - x^\\prime_A<\/span><\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u5e94\u7528\u6d1b\u4f26\u5179\u53d8\u6362\uff0c\u6211\u4eec\u53ef\u4ee5\u5efa\u7acb\u4e24\u8005\u4e4b\u95f4\u7684\u5173\u7cfb\uff1a\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><br \/>\n<span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\n\\Delta x^\\prime &amp;= x^\\prime_B - x^\\prime_A \\\\ \\\\\n\n&amp;= \\gamma_{ss^\\prime}(x_B - \\beta_{ss^\\prime_x} ct_B) - \\gamma_{ss^\\prime}(x_A - \\beta_{ss^\\prime_x} ct_A) \\\\ \\\\\n\n&amp;= \\gamma_{ss^\\prime} \\Delta x - \\gamma_{ss^\\prime}\\beta_{ss^\\prime_x} c \\Delta t\n\n\\end{array}\n\n<\/span>\n<\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u7531\u4e8e\u4e8b\u4ef6<span class=\"katex-eq\" data-katex-display=\"false\">A<\/span>\u548c<span class=\"katex-eq\" data-katex-display=\"false\">B<\/span>\u5bf9\u53c2\u8003\u7cfb<span class=\"katex-eq\" data-katex-display=\"false\">S<\/span>\u7684\u89c2\u5bdf\u8005\u662f\u540c\u65f6\u53d1\u751f\u7684\uff0c\u6211\u4eec\u63a8\u5bfc\u51fa<span class=\"katex-eq\" data-katex-display=\"false\">\\Delta t = 0<\/span>\uff0c\u56e0\u6b64\uff1a\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><span class=\"katex-eq\" data-katex-display=\"false\">\\boxed{\\Delta x^\\prime = \\gamma_{ss^\\prime} \\Delta x}<\/span><\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u5728\u4e00\u8f86\u706b\u8f66\u8f66\u53a2\u5185\uff08\u53c2\u8003\u7cfb<span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span>\uff09\u653e\u7f6e\u4e86\u4e00\u628a\u957f\u5ea6\u4e3a<span class=\"katex-eq\" data-katex-display=\"false\">l_0<\/span>\u7684\u5c3a\u5b50\uff0c\u8be5\u706b\u8f66\u76f8\u5bf9\u4e8e\u6211\u4eec\uff08\u53c2\u8003\u7cfb<span class=\"katex-eq\" data-katex-display=\"false\">S<\/span>\uff09\u8fd0\u52a8\uff0c\u5e76\u4e14\u5c3a\u5b50\u4e0e\u8fd0\u52a8\u65b9\u5411\u5e73\u884c\uff0c\u5219\u89c2\u5bdf\u5230\u7684\u957f\u5ea6\u5c06\u662f\uff1a\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><br \/>\n<span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\n &amp; l_0 = \\gamma_{ss^\\prime} l \\\\ \\\\\n\n\\equiv &amp; l = \\dfrac{l_0}{\\gamma_{ss^\\prime}} \\leq l_0.\n\n\\end{array}\n\n<\/span>\n<\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u8fd9\u610f\u5473\u7740\u6211\u4eec\u5c06\u770b\u5230\u5c3a\u5b50\u7684\u957f\u5ea6\u6bd4\u5b9e\u9645\u957f\u5ea6\u77ed\u3002\u8fd9\u4e2a\u73b0\u8c61\u88ab\u79f0\u4e3a<strong>\u6d1b\u4f26\u5179\u6536\u7f29<\/strong>\uff0c\u5b83\u8868\u660e\u7a7a\u95f4\u95f4\u9694\u5728\u6d1b\u4f26\u5179\u53d8\u6362\u4e0b\u662f\u4e0d\u5b88\u6052\u7684\u3002\n<\/p>\n<p><a name=\"6\"><\/a><\/p>\n<h3>\u65f6\u7a7a\u957f\u5ea6\u7684\u63a8\u5bfc<\/h3>\n<p style=\"text-align:justify;\">\n\u5728\u5206\u6790\u4e86\u7eaf\u65f6\u95f4\u548c\u7eaf\u7a7a\u95f4\u957f\u5ea6\u7684\u53d8\u6362\u540e\uff0c\u6211\u4eec\u73b0\u5728\u68c0\u67e5\u6d1b\u4f26\u5179\u53d8\u6362\u4e0b\u65f6\u7a7a\u957f\u5ea6\u7684\u884c\u4e3a\u3002\u6211\u4eec\u56de\u60f3\u4e00\u4e0b\uff0c\u89c2\u5bdf\u8005<span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span>\u5bf9\u4e8e\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>\u89c2\u6d4b\u5230\u7684\u65f6\u7a7a\u957f\u5ea6\u8868\u793a\u5982\u4e0b\uff1a\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\n\\Delta s^\\prime &amp;= \\sqrt{c^2\\Delta t^{\\prime 2} - (\\Delta x^{\\prime 2} + \\Delta y^{\\prime 2} + \\Delta z^{\\prime 2})} \\\\ \\\\\n\n&amp;= \\sqrt{c^2 (t^{\\prime 2}_B - t^{\\prime 2}_A) - \\left[(x^{\\prime 2}_B - x^{\\prime 2}_A) +  (y^{2}_B - y^{2}_A) + (z^{2}_B - z^{2}_A) \\right]}\n\n\\end{array}\n\n<\/span><\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u770b\u5230\u5728<span class=\"katex-eq\" data-katex-display=\"false\">S^\\prime<\/span>\u53c2\u8003\u7cfb\u76f8\u5bf9\u4e8e<span class=\"katex-eq\" data-katex-display=\"false\">S<\/span>\u5177\u6709\u901f\u5ea6\u63d0\u5347<span class=\"katex-eq\" data-katex-display=\"false\">\\beta_{ss^\\prime_x}<\/span>\u7684\u60c5\u51b5\u4e0b\uff0c\u5e94\u7528\u6d1b\u4f26\u5179\u53d8\u6362\u540e\u7684\u65f6\u7a7a\u957f\u5ea6\u7684\u5173\u7cfb\u3002\n<\/p>\n<p style=\"text-align:center;\"><bdi><span class=\"katex-eq\" data-katex-display=\"false\">\\color{black}\n\n\\begin{array}{rl}\n\n\\Delta s^{\\prime 2} &amp;= (c^2 t^{\\prime 2}_B - c^2 t^{2}_A) - \\left[(x^{\\prime 2}_B - x^{2}_A) +  (y^{2}_B - y^{2}_A) + (z^{2}_B - z^{2}_A) \\right] \\\\ \\\\ \\\\\n\n&amp;= \\left[\\gamma_{ss^\\prime_x}(ct_B - \\beta_{ss^\\prime_x} x_B)\\right]^2 -  \\left[\\gamma_{ss^\\prime_x}(ct_A - \\beta_{ss^\\prime_x} x_A)\\right]^2 + \\cdots \\\\ \\\\\n\n&amp; \\cdots -\\left\\{ \\left( \\left[\\gamma_{ss^\\prime_x}(x_B - \\beta_{ss^\\prime_x} ct_B)\\right]^2 - \\left[\\gamma_{ss^\\prime_x}(x_A - \\beta_{ss^\\prime_x} ct_A)\\right]^2 \\right) + (y^{2}_B - y^{2}_A) + (z^{2}_B - z^{2}_A) \\right\\} \\\\ \\\\ \\\\\n\n&amp;=  \\gamma_{ss^\\prime_x}^2 (ct_B - \\beta_{ss^\\prime_x} x_B)^2 -  \\gamma_{ss^\\prime_x}^2(ct_A - \\beta_{ss^\\prime_x} x_A)^2 + \\cdots \\\\ \\\\\n\n&amp; \\cdots -\\left\\{ \\gamma_{ss^\\prime_x}^2(x_B - \\beta_{ss^\\prime_x} ct_B)^2 - \\gamma_{ss^\\prime_x}^2(x_A - \\beta_{ss^\\prime_x} ct_A)^2  + (y^{2}_B - y^{2}_A) + (z^{2}_B - z^{2}_A) \\right\\} \\\\ \\\\ \\\\\n\n&amp;=    \\color{red}\\gamma_{ss^\\prime_x}^2 c^2 t_B^2 \\color{black} - \\cancel{2  \\gamma_{ss^\\prime_x}^2 \\beta_{ss^\\prime_x} c t_B x_B} + \\color{green}\\gamma_{ss^\\prime_x}^2\\beta_{ss^\\prime_x}^2 x_B^2\\color{black} + \\cdots \\\\ \\\\\n\n&amp; \\cdots   - \\color{blue}\\gamma_{ss^\\prime_x}^2 c^2 t_A^2\\color{black} + 2 \\cancel{\\gamma_{ss^\\prime_x}^2 \\beta_{ss^\\prime_x} c t_A x_A} - \\color{purple}\\gamma_{ss^\\prime_x}^2\\beta_{ss^\\prime_x}^2 x_A^2\\color{black} + \\cdots \\\\ \\\\\n\n&amp; \\cdots  - \\color{green} \\gamma_{ss^\\prime_x}^2x_B^2 \\color{black} + \\cancel{2 \\gamma_{ss^\\prime_x}^2 \\beta_{ss^\\prime_x} ct_B x_B} - \\color{red}\\gamma_{ss^\\prime_x}^2 \\beta_{ss^\\prime_x}^2 c^2t_B^2 \\color{black}+ \\cdots \\\\ \\\\\n\n&amp; \\cdots  + \\color{purple}\\gamma_{ss^\\prime_x}^2x_A^2\\color{black}- \\cancel{2 \\gamma_{ss^\\prime_x}^2 \\beta_{ss^\\prime_x} ct_A x_A} + \\color{blue}\\gamma_{ss^\\prime_x}^2 \\beta_{ss^\\prime_x}^2 c^2t_A^2 \\color{black} + \\cdots \\\\ \\\\\n\n&amp; \\cdots - \\left\\{  (y^{2}_B - y^{2}_A) + (z^{2}_B - z^{2}_A) \\right\\} \\\\ \\\\ \\\\\n\n&amp;= \\color{red}\\gamma_{ss^\\prime_x}^2 (1-  \\beta_{ss^\\prime_x}^2)c^2 t_B^2\\color{black} - \\color{blue}\\gamma_{ss^\\prime_x}^2 (1-  \\beta_{ss^\\prime_x}^2)c^2 t_A^2 \\color{black} + \\cdots \\\\ \\\\\n\n&amp; \\cdots - \\color{green}\\gamma_{ss^\\prime_x}^2(1-\\beta_{ss^\\prime_x}^2)x_B^2\\color{black} + \\color{purple}\\gamma_{ss^\\prime_x}^2(1-\\beta_{ss^\\prime_x}^2)x_A^2  \\color{black} + \\cdots \\\\ \\\\\n\n&amp; \\cdots - \\left\\{  (y^{2}_B - y^{2}_A) + (z^{2}_B - z^{2}_A) \\right\\} \\\\ \\\\ \\\\\n\n\\end{array}\n\n<\/span><\/bdi><\/p>\n<p><p style=\"text-align:justify;\">\n\u6700\u540e\uff0c\u8bb0\u4f4f<span class=\"katex-eq\" data-katex-display=\"false\">\\gamma_{ss^\\prime_x}^2 = 1\/(1-\\beta_{ss^\\prime_x}^2)<\/span>\uff0c\u6211\u4eec\u5f97\u5230\u4ee5\u4e0b\u7ed3\u679c\uff1a\n<\/p>\n<p style=\"text-align:center;\">\n<bdi><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\n\\Delta s^{\\prime 2} &amp;= c^2 t_B^2 - c^2 t_A^2 - x_B^2 + x_A^2 - \\left\\{ (y^{2}_B - y^{2}_A) + (z^{2}_B - z^{2}_A) \\right\\} \\\\ \\\\\n\n&amp;= c^2 (t_B^2 - t_A^2) - \\left\\{ (x_B^2 - x_A^2) + (y^{2}_B - y^{2}_A) + (z^{2}_B - z^{2}_A) \\right\\} \\\\ \\\\\n\n&amp;= c^2 \\Delta t^2 - (\\Delta x^2 + \\Delta y^2 + \\Delta z^2) \\\\ \\\\\n\n&amp;= \\Delta s^2\n\n\\end{array}\n\n<\/span><\/bdi>\n<\/p>\n<p style=\"text-align:justify;\">\n\u56e0\u6b64\uff0c\u6211\u4eec\u8bc1\u660e\u4e86\u4e0e\u7eaf\u65f6\u95f4\u548c\u7a7a\u95f4\u957f\u5ea6\u4e0d\u540c\uff0c\u65f6\u7a7a\u957f\u5ea6\u5728\u6d1b\u4f26\u5179\u53d8\u6362\u4e0b\u4fdd\u6301\u4e0d\u53d8\u3002\n<\/p>\n<div style=\"background-color:#F3F3F3; padding:20px;\">\n<a name=\"7\"><\/a><\/p>\n<h2>\u7ed3\u8bba<\/h2>\n<p style=\"text-align:justify;\">\n\u5bf9\u72ed\u4e49\u76f8\u5bf9\u8bba\u4e2d\u6d1b\u4f26\u5179\u53d8\u6362\u7684\u7814\u7a76\u63ed\u793a\u4e86\u5173\u4e8e\u65f6\u7a7a\u672c\u8d28\u7684\u57fa\u672c\u65b9\u9762\u3002\u629b\u5f03\u7edd\u5bf9\u65f6\u95f4\u7684\u6982\u5ff5\uff0c\u8fd9\u4e9b\u53d8\u6362\u5c55\u793a\u4e86\u4e00\u4e2a\u5149\u901f\u5728\u6240\u6709\u60ef\u6027\u53c2\u8003\u7cfb\u4e2d\u4fdd\u6301\u6052\u5b9a\u7684\u5b87\u5b99\u3002\u8fd9\u5bfc\u81f4\u4e86\u65f6\u7a7a\u5750\u6807\u4e4b\u95f4\u7684\u6df1\u523b\u8054\u7cfb\uff0c\u5982<span class=\"katex-eq\" data-katex-display=\"false\">ct<\/span>\u548c<span class=\"katex-eq\" data-katex-display=\"false\">x<\/span>\u4e4b\u95f4\u7684\u5bf9\u79f0\u6027\u6240\u4f53\u73b0\u7684\u90a3\u6837\u3002\n<\/p>\n<p style=\"text-align:justify;\">\n\u6d1b\u4f26\u5179\u53d8\u6362\u4e0d\u4ec5\u6539\u53d8\u4e86\u6211\u4eec\u5bf9\u8fd0\u52a8\u548c\u901f\u5ea6\u7684\u770b\u6cd5\uff0c\u8fd8\u5f15\u5165\u4e86\u65f6\u95f4\u81a8\u80c0\u548c\u7a7a\u95f4\u6536\u7f29\u7684\u6982\u5ff5\u3002\u8fd9\u4e9b\u6548\u5e94\u662f\u89c2\u5bdf\u8005\u901f\u5ea6\u4e0e\u5149\u901f\u5173\u7cfb\u7684\u76f4\u63a5\u7ed3\u679c\u3002\u4f8b\u5982\uff0c\u65f6\u95f4\u81a8\u80c0\u8868\u660e\u76f8\u5bf9\u8fd0\u52a8\u7684\u89c2\u5bdf\u8005\u65f6\u95f4\u6d41\u901d\u4e0d\u540c\uff0c\u6311\u6218\u4e86\u6211\u4eec\u5bf9\u666e\u904d\u65f6\u95f4\u7684\u76f4\u89c9\u3002\n<\/p>\n<p style=\"text-align:justify;\">\n\u8fd9\u4e9b\u53d8\u6362\u7684\u6838\u5fc3\u662f\u95f5\u53ef\u592b\u65af\u57fa\u65f6\u7a7a\uff0c\u4e00\u4e2a\u5c06\u7a7a\u95f4\u548c\u65f6\u95f4\u878d\u5408\u4e3a\u56db\u7ef4\u7ed3\u6784\u7684\u6a21\u578b\u3002\u8fd9\u4e2a\u6a21\u578b\u4e0d\u4ec5\u5bf9\u7231\u56e0\u65af\u5766\u7684\u72ed\u4e49\u76f8\u5bf9\u8bba\u7406\u8bba\u81f3\u5173\u91cd\u8981\uff0c\u8fd8\u5960\u5b9a\u4e86\u5bf9\u73b0\u4ee3\u7269\u7406\u5b66\u66f4\u6df1\u5165\u7406\u89e3\u7684\u57fa\u7840\uff0c\u5305\u62ec\u5e7f\u4e49\u76f8\u5bf9\u8bba\u548c\u73b0\u4ee3\u5b87\u5b99\u5b66\u3002\n<\/p>\n<p style=\"text-align:justify;\">\n\u603b\u800c\u8a00\u4e4b\uff0c\u6d1b\u4f26\u5179\u53d8\u6362\u4e0d\u4ec5\u662f\u7406\u8bba\u7269\u7406\u5b66\u4e2d\u7684\u4e00\u4e2a\u91cd\u8981\u7ec4\u6210\u90e8\u5206\uff0c\u8fd8\u4e3a\u6211\u4eec\u63d0\u4f9b\u4e86\u4e00\u4e2a\u66f4\u6df1\u523b\u7406\u89e3\u6211\u4eec\u6240\u751f\u6d3b\u7684\u5b87\u5b99\u7684\u7a97\u53e3\uff0c\u6311\u6218\u5e76\u4e30\u5bcc\u4e86\u6211\u4eec\u5bf9\u73b0\u5b9e\u7684\u7406\u89e3\u3002\n<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u72ed\u4e49\u76f8\u5bf9\u8bba\u4e2d\u7684\u65f6\u7a7a \u6458\u8981\uff1a 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