{"id":27756,"date":"2021-10-22T13:00:51","date_gmt":"2021-10-22T13:00:51","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=27756"},"modified":"2024-08-11T20:06:14","modified_gmt":"2024-08-11T20:06:14","slug":"%e8%96%84%e9%80%8f%e9%95%9c%ef%bc%9a%e6%9c%89%e5%85%b3%e5%85%b6%e6%80%a7%e8%b4%a8%e5%92%8c%e8%ae%a1%e7%ae%97%e7%9a%84%e4%b8%80%e5%88%87","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/zh\/%e8%96%84%e9%80%8f%e9%95%9c%ef%bc%9a%e6%9c%89%e5%85%b3%e5%85%b6%e6%80%a7%e8%b4%a8%e5%92%8c%e8%ae%a1%e7%ae%97%e7%9a%84%e4%b8%80%e5%88%87\/","title":{"rendered":"\u8584\u900f\u955c\uff1a\u6709\u5173\u5176\u6027\u8d28\u548c\u8ba1\u7b97\u7684\u4e00\u5207"},"content":{"rendered":"<p><center><\/p>\n<h1>\u8584\u900f\u955c\uff1a\u5173\u4e8e\u5176\u7279\u6027\u548c\u8ba1\u7b97\u7684\u4e00\u5207<\/h1>\n<p><em><strong>\u6458\u8981\uff1a<\/strong><br \/>\n\u672c\u8bfe\u4ecb\u7ecd\u4e86\u8584\u900f\u955c\uff0c\u89e3\u91ca\u4e86\u5176\u7c7b\u578b\uff08\u4f1a\u805a\u548c\u53d1\u6563\uff09\u3001\u5149\u5b66\u7279\u6027\u548c\u7269\u4f53-\u56fe\u50cf\u5173\u7cfb\u3002\u4ecb\u7ecd\u4e86\u56fe\u89e3\u65b9\u6cd5\uff0c\u5e76\u63a8\u5bfc\u4e86\u900f\u955c\u5236\u9020\u65b9\u7a0b\u4ee5\u7406\u89e3\u5176\u5de5\u4f5c\u539f\u7406\u3002\u76ee\u6807\u662f\u63d0\u4f9b\u5bf9\u8584\u900f\u955c\u53ca\u5176\u5728\u5149\u5b66\u4e2d\u5e94\u7528\u7684\u57fa\u672c\u7406\u89e3\uff0c\u5e76\u8f85\u4ee5\u5b9e\u9645\u7ec3\u4e60\u3002<\/em><\/p>\n<p><strong>\u5b66\u4e60\u76ee\u6807\uff1a<\/strong><br \/>\n\u5728\u672c\u8bfe\u7ed3\u675f\u65f6\uff0c\u5b66\u751f\u5c06\u80fd\u591f\uff1a<\/p>\n<ul style=\"text-align:left;\">\n<li><strong>\u7406\u89e3<\/strong>\u8584\u900f\u955c\u7684\u5149\u5b66\u7279\u6027\uff0c\u5305\u62ec\u7126\u8ddd\u548c\u7126\u70b9\u3002<\/li>\n<li><strong>\u8bc6\u522b<\/strong>\u8584\u900f\u955c\u7684\u4e0d\u540c\u7c7b\u578b\uff0c\u5982\u4f1a\u805a\u900f\u955c\u548c\u53d1\u6563\u900f\u955c\u53ca\u5176\u5e94\u7528\u3002<\/li>\n<li><strong>\u5e94\u7528<\/strong>\u7269\u4f53-\u56fe\u50cf\u5173\u7cfb\u89e3\u51b3\u4f7f\u7528\u8584\u900f\u955c\u7684\u5149\u5b66\u95ee\u9898\u3002<\/li>\n<li><strong>\u5206\u6790<\/strong>\u8584\u900f\u955c\u4e2d\u7684\u7403\u9762\u5982\u4f55\u5f71\u54cd\u5149\u7684\u6298\u5c04\u3002<\/li>\n<li><strong>\u89e3\u91ca<\/strong>\u900f\u955c\u5236\u9020\u65b9\u7a0b\u53ca\u5176\u5728\u5149\u5b66\u900f\u955c\u5236\u9020\u4e2d\u7684\u91cd\u8981\u6027\u3002<\/li>\n<li><strong>\u4f7f\u7528<\/strong>\u56fe\u89e3\u65b9\u6cd5\u786e\u5b9a\u8584\u900f\u955c\u4e2d\u7684\u7269\u4f53\u548c\u56fe\u50cf\u4f4d\u7f6e\u3002<\/li>\n<li><strong>\u8ba1\u7b97<\/strong>\u8584\u900f\u955c\u4ea7\u751f\u7684\u56fe\u50cf\u653e\u5927\u7387\u3002<\/li>\n<li><strong>\u63a8\u5bfc<\/strong>\u8584\u900f\u955c\u51e0\u4f55\u5b66\u4e2d\u7684\u516c\u5f0f\u6765\u89e3\u51b3\u5149\u5b66\u95ee\u9898\u3002<\/li>\n<\/ul>\n<p><strong>\u5185\u5bb9\u76ee\u5f55<\/strong><br \/>\n<a href=\"#1\">\u4ecb\u7ecd<\/a><br \/>\n<a href=\"#2\">\u900f\u955c\u7684\u7c7b\u578b<\/a><br \/>\n<a href=\"#3\">\u8584\u900f\u955c\u7684\u7279\u6027<\/a><br \/>\n<a href=\"#4\">\u900f\u955c\u5236\u9020\u65b9\u7a0b<\/a><br \/>\n<a href=\"#5\">\u8584\u900f\u955c\u7684\u56fe\u89e3\u65b9\u6cd5<\/a><br \/>\n<a href=\"#6\">\u7ec3\u4e60<\/a><br \/>\n<\/center><\/p>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u4ecb\u7ecd<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=QLn3Ml-Mrng&amp;t=137s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u8584\u900f\u955c\uff0c<\/span><\/strong><\/a> \u4e0e\u955c\u5b50\u4e00\u6837\uff0c\u662f\u6700\u5e7f\u6cdb\u4f7f\u7528\u7684\u5149\u5b66\u8bbe\u5907\u3002\u5b83\u4eec\u662f\u7531\u4e24\u4e2a\u7403\u9762\u754c\u9762\u9650\u5236\u7684\u900f\u660e\u7269\u4f53\uff0c\u901a\u5e38\u7531\u73bb\u7483\u6216\u5851\u6599\u5236\u6210\u3002<\/p>\n<p><center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogger.googleusercontent.com\/img\/a\/AVvXsEg7unooQ_wxtWDSCBGloGkESSCipu1eXSsKSP7GDD5Ml4X2pkxZrsCcf4QaDdMVlQyanvVs14N2JNyyDBQNMlFJeha_Ezta0ffo_0ayyQzEi__H1BKAa_2RCJJTunRomWHOozGV5S4eots7dpRsQStGG9qoiEK8rrtU2IihiEMmyS7mMVw1Vcb54KVI8g\" width=\"455\" height=\"366\" alt=\"\u8584\u900f\u955c\" class=\"alignnone size-full lazyload\" \/><noscript><img decoding=\"async\" src=\"https:\/\/blogger.googleusercontent.com\/img\/a\/AVvXsEg7unooQ_wxtWDSCBGloGkESSCipu1eXSsKSP7GDD5Ml4X2pkxZrsCcf4QaDdMVlQyanvVs14N2JNyyDBQNMlFJeha_Ezta0ffo_0ayyQzEi__H1BKAa_2RCJJTunRomWHOozGV5S4eots7dpRsQStGG9qoiEK8rrtU2IihiEMmyS7mMVw1Vcb54KVI8g\" width=\"455\" height=\"366\" alt=\"\u8584\u900f\u955c\" class=\"alignnone size-full lazyload\" \/><\/noscript><\/center><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u5728\u8584\u900f\u955c\u4e2d\uff0c\u6298\u5c04\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\u5c0f\u5230\u53ef\u4ee5\u5ffd\u7565\u4e0d\u8ba1\u3002<\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/QLn3Ml-Mrng\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u900f\u955c\u7684\u7c7b\u578b<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=QLn3Ml-Mrng&amp;t=321s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u900f\u955c\uff0c\u50cf\u955c\u5b50\u4e00\u6837\uff0c<\/span><\/strong><\/a>\u5206\u4e3a\u4e24\u79cd\u7c7b\u578b\uff1a\u4f1a\u805a\u900f\u955c\u548c\u53d1\u6563\u900f\u955c\u3002<\/p>\n<p><center><\/center><\/p>\n<img decoding=\"async\" class=\"lazyload\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogger.googleusercontent.com\/img\/a\/AVvXsEh0PLkCTvVUlV2B0T4PY2ipA8hwHOyKg3FBZxKjH-x4K9hsI72_bZzkV97FwglcMi2YpndB7i-TSUjGnpcWmgQ-YD66EZlOuZkD8MaD6Bsvxzq8AO9IBUN3L_a2BJAEIoJEYv2wtaThEY1pUlL-OsQRMR8hfTc7_fxr9riBzH4WVsXf2goI6xxCmhKPsw\" width=\"384\" height=\"294\" alt=\"\u4f1a\u805a\u900f\u955c\" \/><noscript><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/blogger.googleusercontent.com\/img\/a\/AVvXsEh0PLkCTvVUlV2B0T4PY2ipA8hwHOyKg3FBZxKjH-x4K9hsI72_bZzkV97FwglcMi2YpndB7i-TSUjGnpcWmgQ-YD66EZlOuZkD8MaD6Bsvxzq8AO9IBUN3L_a2BJAEIoJEYv2wtaThEY1pUlL-OsQRMR8hfTc7_fxr9riBzH4WVsXf2goI6xxCmhKPsw\" width=\"384\" height=\"294\" alt=\"\u4f1a\u805a\u900f\u955c\" \/><\/noscript> \u8584\u900f\u955c \u4f1a\u805a<\/caption>\n<img decoding=\"async\" class=\"lazyload\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogger.googleusercontent.com\/img\/a\/AVvXsEjhz-x8M2Gh8zkKs0GDC5NFDr4UbWieeumfLilpyTIu_-4OM8wChs-mRLAfkhA0YTYX99OEWvY0vpDrw5z9CjytxhKnUxy5SYrZwbIq59Hs-jvPLydnGFOt9SNMr_SGHycnNR6cLgXgeKNNqT3B0F8LxqoQrJemvYhvqjEfGsNMFAEW-V9DVxtosf_neg\" width=\"386\" height=\"211\" alt=\"\u53d1\u6563\u900f\u955c\" \/><noscript><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/blogger.googleusercontent.com\/img\/a\/AVvXsEjhz-x8M2Gh8zkKs0GDC5NFDr4UbWieeumfLilpyTIu_-4OM8wChs-mRLAfkhA0YTYX99OEWvY0vpDrw5z9CjytxhKnUxy5SYrZwbIq59Hs-jvPLydnGFOt9SNMr_SGHycnNR6cLgXgeKNNqT3B0F8LxqoQrJemvYhvqjEfGsNMFAEW-V9DVxtosf_neg\" width=\"386\" height=\"211\" alt=\"\u53d1\u6563\u900f\u955c\" \/><\/noscript> \u8584\u900f\u955c \u53d1\u6563<\/caption>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u70b9 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F_1<\/span><\/span> \u548c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F_2<\/span><\/span> \u662f\u7126\u70b9\uff0c<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">f<\/span><\/span> \u662f <strong>\u7126\u8ddd\u3002<\/strong> \u5728\u8584\u900f\u955c\u4e2d\uff0c\u4e24\u4e2a\u7126\u8ddd\u76f8\u7b49\uff0c\u6240\u4ee5\u7528\u76f8\u540c\u7684\u5b57\u6bcd\u8868\u793a\u3002<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u5728\u8584\u900f\u955c\u4e2d\uff0c\u6298\u5c04\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\u5c0f\u5230\u53ef\u4ee5\u5ffd\u7565\u4e0d\u8ba1\u3002<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u8584\u900f\u955c\u7684\u7279\u6027<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=QLn3Ml-Mrng&amp;t=497s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u5982\u679c\u6211\u4eec\u7528\u4f1a\u805a\u900f\u955c\u505a\u51e0\u4f55\uff0c<\/span><\/strong><\/a>\u6211\u4eec\u5c06\u770b\u5230\u4ee5\u4e0b\u5185\u5bb9\uff1a<\/p>\n<p><center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogger.googleusercontent.com\/img\/a\/AVvXsEiaZBBNwYEXZsxfDEdwRFW-ryUPjItussuFx6RZZWsRxR1kXu-wW_Ns5F2KUdG8anzCHUUToJLMQPgqtM57eO4UcUD8H78minimIOvD8yUM78Zr1ykd81o1O7PNqidqh3LfJGwl62dZQTfzI9EwH7sQttwlwipe6hVAZFb9KqBTbA2y7_ZMJ5IeNHD6QA\" width=\"637\" height=\"353\" alt=\"\u8584\u900f\u955c\u4e2d\u7684\u7269\u4f53-\u56fe\u50cf\u5173\u7cfb\" class=\"alignnone lazyload\" \/><noscript><img decoding=\"async\" src=\"https:\/\/blogger.googleusercontent.com\/img\/a\/AVvXsEiaZBBNwYEXZsxfDEdwRFW-ryUPjItussuFx6RZZWsRxR1kXu-wW_Ns5F2KUdG8anzCHUUToJLMQPgqtM57eO4UcUD8H78minimIOvD8yUM78Zr1ykd81o1O7PNqidqh3LfJGwl62dZQTfzI9EwH7sQttwlwipe6hVAZFb9KqBTbA2y7_ZMJ5IeNHD6QA\" width=\"637\" height=\"353\" alt=\"\u8584\u900f\u955c\u4e2d\u7684\u7269\u4f53-\u56fe\u50cf\u5173\u7cfb\" class=\"alignnone lazyload\" \/><\/noscript><\/center>&nbsp;<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u7531\u4e8e\u6240\u7ed8\u4e09\u89d2\u5f62\u76f8\u4f3c\uff0c\u5bf9\u5e94\u7684\u8fb9\u5c06\u6210\u6bd4\u4f8b<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rlr}\n\n&amp;\\displaystyle \\frac{y}{s} = -\\frac{y^\\prime}{s^\\prime} &amp; \\\\ \\\\\n\n\\equiv &amp; \\displaystyle \\color{blue}{\\frac{y^\\prime}{y} = -\\frac{s^\\prime}{s}} &amp; (\\triangle)\n\n\\end{array}<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u540c\u6837\uff0c<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rlr}\n\n&amp; \\displaystyle  \\frac{y}{f} = -\\frac{y^\\prime}{s^\\prime-f} &amp;  \\\\ \\\\\n\n\\equiv &amp; \\displaystyle \\color{blue}{\\frac{y^\\prime}{y} = -\\frac{s^\\prime-f}{f}} &amp; (\\star)\n\n\\end{array}<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u7136\u540e\uff0c\u4ece <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\triangle)<\/span><\/span> \u548c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">(\\star)<\/span><\/span> \u5f97\u51fa\uff1a<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rlr}\n\n&amp;\\displaystyle-\\frac{s^\\prime}{s} = -\\frac{s^\\prime-f}{f} &amp;  \\\\ \\\\\n\n\\equiv \\displaystyle &amp; \\frac{s^\\prime}{s} = \\frac{s^\\prime-f}{f} = \\frac{s^\\prime}{f} - 1 = \\frac{s^\\prime}{f} - \\frac{s^\\prime}{s^\\prime} &amp; \\\\ \\\\\n\n{} \\equiv &amp; \\displaystyle \\frac{s^\\prime}{s}+ \\frac{s^\\prime}{s^\\prime} = \\frac{s^\\prime}{f} &amp; \\\\ \\\\\n\n\\equiv &amp; \\displaystyle \\color{blue}{\\frac{1}{s}+ \\frac{1}{s^\\prime} = \\frac{1}{f}} &amp;\n\n\\end{array}<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u4ee5\u4e0a\u5c31\u662f\u6211\u4eec\u6240\u8bf4\u7684 <strong>\u8584\u900f\u955c\u7684\u7269\u4f53-\u56fe\u50cf\u5173\u7cfb\u3002<\/strong><\/p>\n<p style=\"text-align: justify; color: #000000;\" \u548c=\"\" \u4ee5=\"\" \u7c7b\u4f3c=\"\" \u7684=\"\" \u65b9\u5f0f=\"\" \u6211\u4eec=\"\" \u5904\u7406=\"\" \u955c\u5b50=\"\" \u7684=\"\" \u53ef\u4ee5=\"\" \u5b9a\u4e49=\"\" \u5f3a=\"\">\u653e\u5927\u56e0\u5b50 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">m<\/span><\/span> \u901a\u8fc7<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\color{blue}{m=-\\frac{y^\\prime}{y}= - \\frac{s^\\prime}{s}}<\/span><\/span><\/p>\n<p><a name=\"4\"><\/a><\/p>\n<h2>\u900f\u955c\u5236\u9020\u65b9\u7a0b<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=QLn3Ml-Mrng&amp;t=978s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u5982\u6211\u4eec\u6240\u77e5\uff0c\u8584\u900f\u955c\u7531\u4e24\u4e2a\u7403\u9762\u754c\u9762\u7ec4\u6210<\/span><\/strong><\/a>\uff0c\u5b83\u4eec\u5206\u9694\u4e86\u5149\u7ebf\u901a\u8fc7\u7684\u4ecb\u8d28\uff0c\u6211\u4eec\u5df2\u7ecf\u7814\u7a76\u4e86\u5f53\u5149\u7ebf\u7a7f\u8fc7\u8fd9\u79cd\u754c\u9762\u65f6\u4f1a\u53d1\u751f\u4ec0\u4e48\u3002\u56e0\u6b64\uff0c\u5206\u6790\u8584\u900f\u955c\u65f6\uff0c\u6211\u4eec\u53ea\u9700\u7ec4\u5408\u4e4b\u524d\u9488\u5bf9\u5355\u4e2a\u754c\u9762\u6240\u5b66\u7684\u5185\u5bb9\u3002<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u901a\u5e38\uff0c\u8584\u900f\u955c\u7684\u5916\u89c2\u5982\u4e0b\uff1a<\/p>\n<p><center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogger.googleusercontent.com\/img\/a\/AVvXsEhygh_mFDH99yumaDNCW3XtO0TKGWDJc1uLRFPCb2Q6hKL0bJo6GOFpB03jeMFHAX9_4E06j2RwBD4R_SecOhKo35QojZkTGzCkUwgp_R9yY6k0gQ7qGROcDcVja6jegTnOUYD-Krhb6iiwHIXrNh90jcMwf4M_082mTqGQb56nQyElN42iO_pg0dy-DA\" width=\"704\" height=\"216\" class=\"alignnone lazyload\" alt=\"\u8584\u900f\u955c\u5206\u6790\" \/><noscript><img decoding=\"async\" src=\"https:\/\/blogger.googleusercontent.com\/img\/a\/AVvXsEhygh_mFDH99yumaDNCW3XtO0TKGWDJc1uLRFPCb2Q6hKL0bJo6GOFpB03jeMFHAX9_4E06j2RwBD4R_SecOhKo35QojZkTGzCkUwgp_R9yY6k0gQ7qGROcDcVja6jegTnOUYD-Krhb6iiwHIXrNh90jcMwf4M_082mTqGQb56nQyElN42iO_pg0dy-DA\" width=\"704\" height=\"216\" class=\"alignnone lazyload\" alt=\"\u8584\u900f\u955c\u5206\u6790\" \/><\/noscript><\/center><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u4f46\u4e3a\u4e86\u7b80\u5316\uff0c\u8fd9\u53ef\u4ee5\u5206\u5f00<\/p>\n<p><center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogger.googleusercontent.com\/img\/a\/AVvXsEi6FTZ9Y6F-hJUKjczKbnCeHFtXEpUg8us8DmK_OZCRVnwELmbBOKb_p4Zrf_s6h0cdlWJXQqRz4p2rAmVWQnJoLK7O5zRB97FdT_iATYs7Ny0CqWyyU4X0Ofh5BfB1KHNE7LYaOsG9YU-B1ocy4BGsWHlwfALeaStDYVK2UXxorT_ggCv80xGQ9zpG6A\" width=\"862\" height=\"317\" class=\"alignnone lazyload\" alt=\"\u8584\u900f\u955c\u6848\u4f8b\u7684\u5206\u79bb\" \/><noscript><img decoding=\"async\" src=\"https:\/\/blogger.googleusercontent.com\/img\/a\/AVvXsEi6FTZ9Y6F-hJUKjczKbnCeHFtXEpUg8us8DmK_OZCRVnwELmbBOKb_p4Zrf_s6h0cdlWJXQqRz4p2rAmVWQnJoLK7O5zRB97FdT_iATYs7Ny0CqWyyU4X0Ofh5BfB1KHNE7LYaOsG9YU-B1ocy4BGsWHlwfALeaStDYVK2UXxorT_ggCv80xGQ9zpG6A\" width=\"862\" height=\"317\" class=\"alignnone lazyload\" alt=\"\u8584\u900f\u955c\u6848\u4f8b\u7684\u5206\u79bb\" \/><\/noscript><\/center><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u7531\u4e8e\u6211\u4eec\u5df2\u7ecf\u5206\u6790\u4e86\u6bcf\u79cd\u60c5\u51b5\uff08\u8fd9\u91cc\uff09\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u51fa\u4ee5\u4e0b\u4e24\u4e2a\u65b9\u7a0b\uff1a<\/p>\n<p style=\"text-align: justify; color: #000000;\"><strong>\u5bf9\u4e8ea-b\u8fb9\uff1a<\/strong><\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{n_a}{s_a} + \\frac{n_b}{s_{ab}^\\prime} = \\frac{n_b - n_a}{R_c}<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\"><strong>\u5bf9\u4e8eb-c\u8fb9\uff1a<\/strong><\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{n_b}{s_{b}} + \\frac{n_c}{s_{bc}^\\prime} = \\frac{n_c - n_b}{R_a}<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u6b64\u65f6\uff0c\u5982\u679c\u6211\u4eec\u8bbe\u7f6e <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">n_a = n_c = n_{air}\\approx 1.0,<\/span><\/span> \u90a3\u4e48 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">s_b = -s_{ab}^\\prime;<\/span><\/span> \u56e0\u6b64\uff0c\u8fd9\u4e9b\u65b9\u7a0b\u5199\u6210\u4ee5\u4e0b\u5f62\u5f0f<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\n\\displaystyle \\frac{1}{s_a} + \\frac{n_b}{s_{ab}^\\prime} &amp; \\displaystyle = \\frac{n_b - 1}{R_c} \\\\ \\\\\n\n\\displaystyle -\\frac{n_b}{s_{ab}^\\prime} + \\frac{1}{s_{bc}^\\prime} &amp; \\displaystyle= \\frac{1-n_b}{R_a}\n\n\\end{array}<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u5c06\u5b83\u4eec\u76f8\u52a0\uff0c\u73b0\u5728\u53ef\u4ee5\u5f97\u5230\u4e00\u4e2a\u8868\u8fbe\u5f0f\uff1a<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\n&amp;\\displaystyle \\frac{1}{s_a} + \\frac{1}{s_{bc}^\\prime} = \\frac{n_b-1}{R_c} + \\frac{1-n_b}{R_a} \\\\ \\\\\n\n\\equiv &amp; \\displaystyle \\frac{1}{s_a} + \\frac{1}{s_{bc}^\\prime} = (n_b -1) \\left( \\frac{1}{R_a} - \\frac{1}{R_c} \\right)\n\n\\end{array}<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u6b64\u65f6\uff0c\u65b9\u4fbf\u91cd\u65b0\u547d\u540d\u6d89\u53ca\u7684\u53d8\u91cf\uff1b\u6211\u4eec\u5c06\u4f7f\u7528\u4ee5\u4e0b\u547d\u540d\u89c4\u5219<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{ll}\n\ns_a = s &amp; R_a = R_1 \\\\ \\\\\n\ns_{bc}^\\prime = s^\\prime &amp; R_c =R_2 \\\\ \\\\\n\nn_b =n &amp;\n\n\\end{array}<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u83b7\u5f97\u4e00\u4e2a\u66f4\u201c\u7b80\u6d01\u201d\u7684\u7248\u672c\u7684\u65b9\u7a0b\uff1a<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\displaystyle \\frac{1}{s} + \\frac{1}{s^\\prime} = (n -1) \\left( \\frac{1}{R_1} - \\frac{1}{R_2} \\right)\n\n<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u6700\u540e\uff0c\u5229\u7528\u4e00\u5f00\u59cb\u63a8\u5bfc\u51fa\u7684\u8584\u900f\u955c\u7684\u7269\u4f53-\u56fe\u50cf\u5173\u7cfb\uff0c\u5f97\u5230\uff1a<\/p>\n<p style=\"text-align: center; color: #000000;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\displaystyle \\color{blue}{\\frac{1}{f} = (n -1) \\left( \\frac{1}{R_1} - \\frac{1}{R_2} \\right)}\n\n<\/span><\/span><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u8fd9\u5c31\u662f\u6211\u4eec\u6240\u8bf4\u7684 <strong>\u900f\u955c\u5236\u9020\u65b9\u7a0b\u3002<\/strong><\/p>\n<p><a name=\"5\"><\/a><\/p>\n<h2>\u8584\u900f\u955c\u7684\u56fe\u89e3\u65b9\u6cd5<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=QLn3Ml-Mrng&amp;t=1591s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u9a8c\u8bc1<\/span><\/strong><\/a>\u6216\u7406\u89e3\u6211\u4eec\u6240\u505a\u7684\u8ba1\u7b97\u7684\u4e00\u4e2a\u975e\u5e38\u6709\u7528\u7684\u5de5\u5177\u662f\u4e0b\u9762\u7ed8\u5236\u7684\u56fe\u89e3\u65b9\u6cd5\uff1b\u8fd9\u4e9b\u65b9\u6cd5\u4e0e\u955c\u5b50\u4f7f\u7528\u7684\u65b9\u6cd5\u7c7b\u4f3c\u3002<\/p>\n<p><center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogger.googleusercontent.com\/img\/a\/AVvXsEia8CpQNx2bWAqtwRIZHNcwK3w2WnxMgWC98tv9VmH4-XfBmHvxDZJ7wpZJciDFfCIqIDSN3xp4of9XV9ppTy8PY9AJ1oUUoGo57kMZb5GZhl4aqYzvc8pfYwaKJ07GB2XDMlwBknnUNmB1k_5uXfhmpVjZXrISt2sj_KkqzDZQ0_U5crTzrv_3l_QyvA\" width=\"576\" height=\"489\" class=\"alignnone lazyload\" alt=\"\u4f1a\u805a\u548c\u53d1\u6563\u8584\u900f\u955c\u7684\u56fe\u89e3\u65b9\u6cd5\" \/><noscript><img decoding=\"async\" src=\"https:\/\/blogger.googleusercontent.com\/img\/a\/AVvXsEia8CpQNx2bWAqtwRIZHNcwK3w2WnxMgWC98tv9VmH4-XfBmHvxDZJ7wpZJciDFfCIqIDSN3xp4of9XV9ppTy8PY9AJ1oUUoGo57kMZb5GZhl4aqYzvc8pfYwaKJ07GB2XDMlwBknnUNmB1k_5uXfhmpVjZXrISt2sj_KkqzDZQ0_U5crTzrv_3l_QyvA\" width=\"576\" height=\"489\" class=\"alignnone lazyload\" alt=\"\u4f1a\u805a\u548c\u53d1\u6563\u8584\u900f\u955c\u7684\u56fe\u89e3\u65b9\u6cd5\" \/><\/noscript><\/center><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u6839\u636e\u7269\u4f53\u5728\u900f\u955c\u524d\u7684\u4f4d\u7f6e\uff0c\u8fd9\u4e9b\u65b9\u6cd5\u63d0\u4f9b\u4e0d\u540c\u7684\u7ed3\u679c\u3002<\/p>\n<p><center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/blogger.googleusercontent.com\/img\/a\/AVvXsEggmEYClTymUmTSO0a8u5-I4jFIV9UFZNB_UC87-yD8ihh8WpKHcHtkQoyx23eCbfbbAFRh9BfsKVM-lsQDbug8KQKPZebKf6qKkXDeSPsSJCNxHE46VJqHO6A_LKxxdoAXLwk71TJMhLAMm6QRXy2-MqGjEOEHIGRMEgnMx1KFRc2g_s9y9D1O516kDw\" width=\"607\" height=\"685\" class=\"alignnone lazyload\" alt=\"\u8584\u900f\u955c\u4f1a\u805a\u56fe\u89e3\u65b9\u6cd5\" \/><noscript><img decoding=\"async\" src=\"https:\/\/blogger.googleusercontent.com\/img\/a\/AVvXsEggmEYClTymUmTSO0a8u5-I4jFIV9UFZNB_UC87-yD8ihh8WpKHcHtkQoyx23eCbfbbAFRh9BfsKVM-lsQDbug8KQKPZebKf6qKkXDeSPsSJCNxHE46VJqHO6A_LKxxdoAXLwk71TJMhLAMm6QRXy2-MqGjEOEHIGRMEgnMx1KFRc2g_s9y9D1O516kDw\" width=\"607\" height=\"685\" class=\"alignnone lazyload\" alt=\"\u8584\u900f\u955c\u4f1a\u805a\u56fe\u89e3\u65b9\u6cd5\" \/><\/noscript><\/center><\/p>\n<p><a name=\"6\"><\/a><\/p>\n<h2>\u7ec3\u4e60\uff1a<\/h2>\n<ol style=\"text-align: justify; color: #000000;\">\n<li>\u4e00\u4e2a\u53d1\u6563\u900f\u955c\u548c\u4e00\u675f\u5e73\u884c\u5149\u675f\u5728\u901a\u8fc7\u900f\u955c\u65f6\u201c\u6563\u5f00\u201d\uff0c\u4f7f\u5176\u6295\u5f71\u4f1a\u805a\u5230\u8ddd\u900f\u955c\u4e2d\u5fc330[cm]\u7684\u70b9\u3002\u5982\u679c\u4f60\u60f3\u7528\u8fd9\u4e2a\u900f\u955c\u83b7\u5f97\u4e00\u4e2a\u9ad8\u5ea6\u4e3a\u67d0\u7269\u4f53\u4e00\u534a\u7684\u865a\u50cf\uff1a\n<ol>\n<li type=\"a\">\u8ba1\u7b97\u7269\u4f53\u5e94\u653e\u7f6e\u7684\u4f4d\u7f6e\u3002<\/li>\n<li type=\"a\">\u753b\u51fa\u63cf\u8ff0\u8fd9\u79cd\u60c5\u51b5\u7684\u5149\u7ebf\u56fe\u3002<\/li>\n<\/ol>\n<\/li>\n<li>\u4e00\u4e2a\u9ad87[cm]\u7684\u7269\u4f53\u88ab\u653e\u7f6e\u5728\u8ddd\u7126\u8ddd\u4e3a5[cm]\u7684\u4f1a\u805a\u900f\u955c\u5de6\u8fb913[cm]\u5904\u3002\u7b2c\u4e8c\u4e2a\u7126\u8ddd\u4e3a2[cm]\u7684\u4f1a\u805a\u900f\u955c\u88ab\u653e\u7f6e\u5728\u8ddd\u7b2c\u4e00\u4e2a\u900f\u955c\u53f3\u8fb930[cm]\u5904\uff0c\u4e24\u4e2a\u900f\u955c\u5171\u4eab\u540c\u4e00\u5149\u8f74\u3002\u627e\u5230\u8fd9\u4e24\u4e2a\u900f\u955c\u7ec4\u5408\u4ea7\u751f\u7684\u56fe\u50cf\u7684\u5927\u5c0f\u548c\u4f4d\u7f6e\u3002<\/li>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/tUQxvRPZo_A\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" 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