{"id":29128,"date":"2021-03-09T13:00:20","date_gmt":"2021-03-09T13:00:20","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=29128"},"modified":"2024-12-30T07:46:17","modified_gmt":"2024-12-30T07:46:17","slug":"%e7%83%ad%e5%8a%9b%e5%ad%a6%e6%9e%81%e9%99%90%e3%80%81%e5%8e%8b%e5%8a%9b%e4%b8%8e%e5%8f%98%e9%87%8f","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/zh\/%e7%83%ad%e5%8a%9b%e5%ad%a6%e6%9e%81%e9%99%90%e3%80%81%e5%8e%8b%e5%8a%9b%e4%b8%8e%e5%8f%98%e9%87%8f\/","title":{"rendered":"\u70ed\u529b\u5b66\u6781\u9650\u3001\u538b\u529b\u4e0e\u53d8\u91cf"},"content":{"rendered":"<p><center><\/p>\n<h1>\u70ed\u529b\u5b66\u6781\u9650\u3001\u538b\u529b\u4e0e\u5e7f\u5ef6\u6027\u548c\u5f3a\u5ea6\u6027\u53d8\u91cf<\/h1>\n<p><\/center><\/p>\n<p style=\"text-align:center;\"><em><strong>\u6458\u8981\uff1a<\/strong><br \/>\n\u672c\u8bfe\u4ecb\u7ecd\u4e86\u70ed\u529b\u5b66\u6781\u9650\u7684\u6982\u5ff5\uff0c\u89e3\u91ca\u4e86\u5982\u4f55\u901a\u8fc7\u7edf\u8ba1\u5b66\u6765\u5904\u7406\u4e00\u4e9b\u7269\u7406\u7cfb\u7edf\u3002\u7528\u7c92\u5b50\u649e\u51fb\u5899\u58c1\u7684\u7c7b\u6bd4\uff0c\u538b\u529b\u88ab\u5b9a\u4e49\u4e3a\u6bcf\u5355\u4f4d\u9762\u79ef\u7684\u603b\u529b\u3002\u901a\u8fc7\u8003\u8651\u65e0\u9650\u5927\u7684\u9762\u79ef\uff0c\u53ef\u4ee5\u6839\u636e\u5206\u5b50\u5bf9\u5bb9\u5668\u58c1\u7684\u51b2\u91cf\u6765\u8ba1\u7b97\u5bb9\u5668\u5185\u7684\u538b\u529b\u3002<\/em><\/p>\n<p style=\"text-align:center;\"><strong>\u5b66\u4e60\u76ee\u6807\uff1a<\/strong><br \/> \u5b8c\u6210\u672c\u8bfe\u540e\uff0c\u5b66\u751f\u5c06\u80fd\u591f\uff1a<\/p>\n<ol>\n<li><strong>\u89e3\u91ca<\/strong> \u5982\u4f55\u901a\u8fc7\u603b\u529b\u548c\u9762\u79ef\u6765\u5b9a\u4e49\u538b\u529b\u4e2d\u7684\u70ed\u529b\u5b66\u6781\u9650<\/li>\n<li><strong>\u7406\u89e3<\/strong> \u5982\u4f55\u5728\u7edf\u8ba1\u7269\u7406\u548c\u6c14\u4f53\u52a8\u529b\u5b66\u7406\u8bba\u4e2d\u5e94\u7528\u70ed\u529b\u5b66\u6781\u9650\u3002<\/li>\n<li><strong>\u7406\u89e3<\/strong> \u5e7f\u5ef6\u6027\u53d8\u91cf\u548c\u5f3a\u5ea6\u6027\u53d8\u91cf\u4e4b\u95f4\u7684\u533a\u522b\u3002<\/li>\n<li><strong>\u7406\u89e3<\/strong> \u70ed\u529b\u5b66\u7814\u7a76\u7684\u4e0d\u540c\u65b9\u6cd5\u7684\u57fa\u672c\u601d\u60f3\u3002<\/li>\n<\/ol>\n<p style=\"text-align:center;\">\n<strong><u>\u5185\u5bb9\u76ee\u5f55<\/u>:<\/strong><br \/>\n<a href=\"#1\">\u5f15\u5165\u70ed\u529b\u5b66\u6781\u9650\u4e2d\u7684\u538b\u529b<\/a><br \/>\n<a href=\"#2\">\u70ed\u529b\u5b66\u6781\u9650<\/a><br \/>\n<a href=\"#3\">\u5e7f\u5ef6\u6027\u548c\u5f3a\u5ea6\u6027\u53d8\u91cf<\/a><br \/>\n<a href=\"#4\">\u70ed\u529b\u5b66\u7684\u7814\u7a76\u65b9\u6cd5<\/a>\n<\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/aFNvauKaF4o\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/p>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u5f15\u5165\u70ed\u529b\u5b66\u6781\u9650\u4e2d\u7684\u538b\u529b<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=aFNvauKaF4o&amp;t=95s\" rel=\"noopener\" target=\"_blank\"><strong>\u70ed\u529b\u5b66\u6781\u9650\u7684\u6982\u5ff5<\/strong><\/a> \u5e2e\u52a9\u7406\u89e3\u4e3a\u4f55\u67d0\u4e9b\u7269\u7406\u7cfb\u7edf\u53ef\u4ee5\u901a\u8fc7\u7edf\u8ba1\u65b9\u6cd5\u8fdb\u884c\u5904\u7406\u3002\u8fd9\u662f\u56e0\u4e3a\u5b83\u4eec\u7531<a href=\"https:\/\/toposuranos.com\/mol-y-masa-molar\/\" rel=\"noopener\" target=\"_blank\"><strong>\u5927\u91cf\u7684\u7c92\u5b50\u7ec4\u6210\u3002<\/strong><\/a> \u4e00\u79cd\u7b80\u5355\u7684\u6f14\u793a\u65b9\u6cd5\u662f\u901a\u8fc7\u7c7b\u6bd4\u3002\u60f3\u8c61\u4e00\u4e0b\uff0c\u6709\u4e00\u4e2a\u7c92\u5b50\u70ae\u4ee5\u4e00\u5b9a\u901f\u5ea6\u5c06\u7c92\u5b50\u5c04\u5411\u5899\u58c1\uff1b\u7531\u4e8e\u7c92\u5b50\u5177\u6709\u8d28\u91cf\uff0c\u649e\u51fb\u5899\u58c1\u65f6\u4f1a\u4f20\u9012\u4e00\u4e9b\u52a8\u91cf\uff0c\u56e0\u6b64\u65bd\u52a0\u4e86\u4e00\u5b9a\u7684\u51b2\u91cf\u3002<\/p>\n<p style=\"text-align: justify;\">\u56e0\u6b64\uff0c\u77e5\u9053\u4e86\u901f\u5ea6\u548c\u8d28\u91cf\uff0c\u53ef\u4ee5\u8ba1\u7b97\u6bcf\u4e2a\u7c92\u5b50\u65bd\u52a0\u7684\u529b\u3002\u73b0\u5728\u60f3\u8c61\u8fd9\u4e0d\u662f\u4e00\u4e2a\u70ae\uff0c\u800c\u662f\u4e00\u573a\u5747\u5300\u96c6\u4e2d\u7684\u65e0\u6570\u7c92\u5b50\u96e8\uff0c\u5b83\u4eec\u649e\u51fb\u5730\u9762\u7684\u4e00\u90e8\u5206\u533a\u57df\uff0c\u8fd9\u4e2a\u533a\u57df\u53ef\u4ee5\u53d8\u5f97\u65e0\u9650\u5927\u3002\u6211\u4eec\u4f1a\u6709\u4ec0\u4e48\u7ed3\u679c\u5462\uff1f<\/p>\n<ol style=\"text-align: justify;\">\n<li>\u968f\u7740\u8003\u8651\u7684\u533a\u57df\u53d8\u5927\uff0c\u65bd\u52a0\u7684\u5e73\u5747\u529b\u4e5f\u4f1a\u589e\u52a0\u3002\u8fd9\u662f\u5408\u7406\u7684\uff0c\u56e0\u4e3a\u533a\u57df\u8d8a\u5927\uff0c\u63a5\u6536\u5230\u7684\u7c92\u5b50\u5c31\u8d8a\u591a\u3002<\/li>\n<li>\u5c3d\u7ba1\u6bcf\u4e2a\u7c92\u5b50\u65bd\u52a0\u7684\u529b\u4f1a\u6ce2\u52a8\uff0c\u4f46\u8fd9\u79cd\u6ce2\u52a8\u4f1a\u88ab\u201c\u5e73\u6ed1\u201d\u5e76\u8d8b\u5411\u4e8e\u4e00\u4e2a\u5e73\u5747\u503c\u3002\u4e8b\u5b9e\u4e0a\uff0c\u6ce2\u52a8\u53ef\u80fd\u5f88\u5927\uff0c\u4f46\u5982\u679c\u6211\u4eec\u589e\u52a0\u533a\u57df\uff0c\u603b\u529b\u4f1a\u975e\u5e38\u5de8\u5927\uff0c\u4ee5\u81f3\u4e8e\u8fd9\u79cd\u6ce2\u52a8\u5c06\u53d8\u5f97\u5fae\u4e0d\u8db3\u9053\u3002<\/li>\n<\/ol>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=aFNvauKaF4o&amp;t=280s\" rel=\"noopener\" target=\"_blank\"><strong>\u7531\u4e8e\u65bd\u52a0\u7684\u603b\u529b\u4e0e\u9762\u79ef\u6210\u6b63\u6bd4\uff0c\u56e0\u6b64\u5b9a\u4e49\u5982\u4e0b\uff1a<\/strong><\/a><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>\u5b9a\u4e49<\/strong><\/td>\n<\/tr>\n<tr>\n<td>\n<p style=\"text-align:justify;\">\u538b\u529b <span class=\"katex-eq\" data-katex-display=\"false\">P<\/span> \u7531\u65bd\u52a0\u5728\u9762\u79ef <span class=\"katex-eq\" data-katex-display=\"false\">{A}<\/span> \u4e0a\u7684\u603b\u529b <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{F}<\/span> \u5b9a\u4e49\u4e3a\u6781\u9650<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\color{blue}{\\displaystyle P = \\lim_{A\\to\\infty} \\frac{\\vec{F}\\cdot \\hat{n}}{A}}<\/span>\n<p style=\"text-align:justify;\">\u5176\u4e2d <span class=\"katex-eq\" data-katex-display=\"false\">\\hat{n}<\/span> \u662f\u8868\u9762\u7684\u6cd5\u5411\u91cf\u3002<\/p>\n<p><center><img decoding=\"async\" class=\"lazyload\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-8uSlbm03nEI\/YEfJFN4Gs-I\/AAAAAAAAEsY\/8szyQpVpGF0fy7u-7AU1BesRgwdvlRhMwCLcBGAsYHQ\/s438\/presion.PNG\" alt=\"\u538b\u529b\u4e0e\u70ed\u529b\u5b66\u6781\u9650\" width=\"300\" height=\"300\" \/><noscript><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/1.bp.blogspot.com\/-8uSlbm03nEI\/YEfJFN4Gs-I\/AAAAAAAAEsY\/8szyQpVpGF0fy7u-7AU1BesRgwdvlRhMwCLcBGAsYHQ\/s438\/presion.PNG\" alt=\"\u538b\u529b\u4e0e\u70ed\u529b\u5b66\u6781\u9650\" width=\"300\" height=\"300\" \/><\/noscript><\/center><\/p>\n<p style=\"text-align:justify;\">\u8fd9\u901a\u5e38\u7b80\u5199\u4e3a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle P = \\frac{F}{A}<\/span>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u5728\u6211\u4eec\u7684\u7c7b\u6bd4\u4e2d\uff0c\u5f15\u5165\u7684\u538b\u529b\u4e0d\u4f1a\u968f\u7740\u9762\u79ef\u7684\u589e\u52a0\u800c\u53d8\u5316\uff1b\u76f8\u53cd\uff0c\u538b\u529b\u7684\u6ce2\u52a8\u8d8b\u5411\u4e8e\u6d88\u5931\u3002\u4e8b\u5b9e\u4e0a\uff0c\u5982\u679c\u6211\u4eec\u53d6\u9762\u79ef\u8d8b\u4e8e\u65e0\u9650\u7684\u6781\u9650\uff0c\u6ce2\u52a8\u53ef\u4ee5\u5ffd\u7565\u4e0d\u8ba1\u3002<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u70ed\u529b\u5b66\u6781\u9650<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=aFNvauKaF4o&amp;t=532s\" rel=\"noopener\" target=\"_blank\"><strong>\u5982\u679c\u8003\u8651\u4e00\u4e2a\u5bb9\u5668\u5185\u7684\u8fd0\u52a8\u5206\u5b50\uff0c<\/strong><\/a> \u6bcf\u5f53\u5b83\u4eec\u649e\u51fb\u8fb9\u754c\u65f6\uff0c\u5b83\u4eec\u90fd\u4f1a\u65bd\u52a0\u4e00\u5b9a\u7684\u51b2\u91cf\u3002\u6240\u6709\u8fd9\u4e9b\u51b2\u91cf\u7684\u96c6\u5408\u6548\u5e94\u5c31\u662f\u6211\u4eec\u6240\u89e3\u91ca\u7684\u538b\u529b\uff1a\u5206\u5e03\u5728\u6574\u4e2a\u8868\u9762\u4e0a\u7684\u6bcf\u5355\u4f4d\u9762\u79ef\u7684\u529b\u3002\u5982\u679c\u5bb9\u5668\u5f88\u5c0f\uff0c\u53ef\u80fd\u9700\u8981\u5173\u6ce8\u529b\u7684\u6ce2\u52a8\uff1b\u7136\u800c\uff0c\u5728\u5927\u591a\u6570\u60c5\u51b5\u4e0b\uff0c\u7c92\u5b50\u7684\u6570\u91cf\u5982\u6b64\u4e4b\u5927\uff0c\u4ee5\u81f3\u4e8e\u6ce2\u52a8\u53ef\u4ee5\u5ffd\u7565\u4e0d\u8ba1\u3002\u5728\u8fd9\u4e9b\u6761\u4ef6\u4e0b\uff0c\u6c14\u4f53\u7684\u538b\u529b\u88ab\u8ba4\u4e3a\u662f\u5b8c\u5168\u5747\u5300\u7684\u3002\u6211\u4eec\u521a\u521a\u63cf\u8ff0\u7684\u5c31\u662f\u6240\u8c13\u7684\u201c\u5904\u4e8e<strong>\u70ed\u529b\u5b66\u6781\u9650<\/strong>\u3002\u201d<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u5e7f\u5ef6\u6027\u548c\u5f3a\u5ea6\u6027\u53d8\u91cf<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=aFNvauKaF4o&amp;t=619s\" rel=\"noopener\" target=\"_blank\"><strong>\u5047\u8bbe\u4e00\u4e2a\u4f53\u79ef\u4e3a<\/strong><\/a> <span class=\"katex-eq\" data-katex-display=\"false\">V<\/span> \u7684\u5bb9\u5668\u4e2d\u6709\u4e00\u4e2a\u6e29\u5ea6\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\">T<\/span>\u3001\u538b\u529b\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\">P<\/span> \u7684\u6c14\u4f53\uff0c\u603b\u52a8\u80fd\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\">U<\/span>\u3002\u73b0\u5728\u60f3\u8c61\u6211\u4eec\u5728\u5bb9\u5668\u5185\u653e\u7f6e\u4e00\u4e2a\u9694\u677f\uff0c\u5c06\u6c14\u4f53\u5206\u4e3a\u4e24\u534a\u3002\u90a3\u4e48\u6bcf\u4e00\u534a\u7684\u4f53\u79ef <span class=\"katex-eq\" data-katex-display=\"false\">V^*<\/span> \u5c06\u4f1a\u662f<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle V^* = \\frac{V}{2}<\/span>\n<p style=\"text-align: justify;\">\u6bcf\u4e00\u534a\u7684\u603b\u52a8\u80fd <span class=\"katex-eq\" data-katex-display=\"false\">U^*<\/span> \u4e5f\u5c06\u662f\u539f\u6765\u7684\u4e00\u534a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle U^* = \\frac{U}{2}<\/span>\n<p style=\"text-align: justify;\">\u7136\u800c\uff0c\u50cf\u6e29\u5ea6\u548c\u538b\u529b\u8fd9\u6837\u7684\u91cf\u5c06\u5728\u4e24\u534a\u4e2d\u4fdd\u6301\u4e0d\u53d8<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">P^* = P<\/span>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">T^* = T<\/span>\n<p style=\"text-align: justify;\">\u7531\u6b64\u4ea7\u751f\u4e86\u70ed\u529b\u5b66\u4e2d\u7684\u533a\u5206\u3002\u5f53\u6211\u4eec\u8ba8\u8bba\u53d8\u91cf\u7684\u91cf\u7ea7\u968f\u7740\u7cfb\u7edf\u7684\u5927\u5c0f\u800c\u53d8\u5316\u65f6\uff0c\u8fd9\u4e9b\u53d8\u91cf\u79f0\u4e3a<strong>\u5e7f\u5ef6\u6027\u53d8\u91cf<\/strong>\uff0c\u5982\u4f53\u79ef\u6216\u80fd\u91cf\uff1b\u800c<strong>\u5f3a\u5ea6\u6027\u53d8\u91cf<\/strong>\u662f\u6307\u90a3\u4e9b\u4e0d\u968f\u7cfb\u7edf\u5927\u5c0f\u53d8\u5316\u7684\u91cf\uff0c\u5982\u538b\u529b\u548c\u6e29\u5ea6\u3002<\/p>\n<p><a name=\"4\"><\/a><\/p>\n<h2>\u70ed\u529b\u5b66\u7684\u7814\u7a76\u65b9\u6cd5<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=aFNvauKaF4o&amp;t=786s\" rel=\"noopener\" target=\"_blank\"><strong>\u4ece\u5386\u53f2\u4e0a\u770b\uff0c\u70ed\u529b\u5b66\u53d1\u5c55\u7ecf\u5386\u4e86\u4e0d\u540c\u9636\u6bb5\uff0c\u7ed9\u6211\u4eec\u7559\u4e0b\u4e86\u51e0\u79cd\u65b9\u6cd5\u3002<\/strong><\/a><\/p>\n<ul style=\"text-align: justify;\">\n<li><strong>\u7ecf\u5178\u70ed\u529b\u5b66<\/strong> \u5904\u7406\u5b8f\u89c2\u5c5e\u6027\uff0c\u5982\u538b\u529b\u3001\u6e29\u5ea6\u548c\u4f53\u79ef\uff0c\u800c\u4e0d\u6d89\u53ca\u7269\u8d28\u7684\u5fae\u89c2\u65b9\u9762\u3002\u5b83\u5904\u7406\u8db3\u591f\u5927\u7684\u7cfb\u7edf\uff0c\u53ef\u4ee5\u5ffd\u7565\u70ed\u529b\u5b66\u6781\u9650\u4e4b\u524d\u7684\u6ce2\u52a8\uff0c\u5e76\u5ffd\u7565\u7269\u8d28\u7684\u539f\u5b50\u7ed3\u6784\u3002<\/li>\n<li><strong>\u6c14\u4f53\u52a8\u529b\u5b66\u7406\u8bba<\/strong> 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