{"id":474,"date":"2023-06-16T04:13:32","date_gmt":"2023-06-16T04:13:32","guid":{"rendered":"https:\/\/physigeek.com\/cn\/%e5%a4%9a%e6%99%ae%e5%8b%92%e6%95%88%e5%ba%94\/"},"modified":"2023-06-16T04:13:32","modified_gmt":"2023-06-16T04:13:32","slug":"%e5%a4%9a%e6%99%ae%e5%8b%92%e6%95%88%e5%ba%94","status":"publish","type":"post","link":"https:\/\/physigeek.com\/cn\/%e5%a4%9a%e6%99%ae%e5%8b%92%e6%95%88%e5%ba%94\/","title":{"rendered":"\u591a\u666e\u52d2\u6548\u5e94"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7269\u7406\u5b66\u4e2d\u7684\u591a\u666e\u52d2\u6548\u5e94\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u4e86\u89e3\u591a\u666e\u52d2\u6548\u5e94\u7684\u542b\u4e49\u3001\u591a\u666e\u52d2\u6548\u5e94\u7684\u793a\u4f8b\u3001\u5176\u516c\u5f0f\u4ee5\u53ca\u591a\u666e\u52d2\u6548\u5e94\u7684\u5b9e\u9645\u5e94\u7528\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-efecto-Doppler\"><\/span>\u4ec0\u4e48\u662f\u591a\u666e\u52d2\u6548\u5e94\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u591a\u666e\u52d2\u6548\u5e94<\/strong>\u662f\u6ce2\u7684\u53d1\u5c04\u5668\u6216\u63a5\u6536\u5668\u76f8\u5bf9\u79fb\u52a8\u65f6\u53d1\u751f\u7684\u7269\u7406\u73b0\u8c61\u3002\u66f4\u51c6\u786e\u5730\u8bf4\uff0c\u591a\u666e\u52d2\u6548\u5e94\u5305\u62ec\u7531\u4e8e\u53d1\u5c04\u5668\u548c\u63a5\u6536\u5668\u4e4b\u95f4\u7684\u76f8\u5bf9\u8fd0\u52a8\u800c\u5bfc\u81f4\u7684\u6ce2\u7684\u8868\u89c2\u9891\u7387\u7684\u53d8\u5316\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5f53\u6551\u62a4\u8f66\u5411\u524d\u884c\u9a76\u5e76\u9e23\u54cd\u8b66\u7b1b\u65f6\uff0c\u5c31\u4f1a\u53d1\u751f\u591a\u666e\u52d2\u6548\u5e94\u3002\u6551\u62a4\u8f66\u5411\u524d\u884c\u9a76\uff0c\u53d1\u51fa\u58f0\u97f3\uff1b\u56e0\u6b64\uff0c\u7531\u4e8e\u591a\u666e\u52d2\u6548\u5e94\uff0c\u611f\u77e5\u5230\u7684\u9891\u7387\u4e0e\u6551\u62a4\u8f66\u9759\u6b62\u65f6\u6211\u4eec\u611f\u77e5\u5230\u7684\u58f0\u6ce2\u9891\u7387\u4e0d\u540c\u3002<\/p>\n<p>\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u6ce2\u7684\u611f\u77e5\u9891\u7387\u53d6\u51b3\u4e8e\u63a5\u6536\u5668\u76f8\u5bf9\u4e8e\u6551\u62a4\u8f66\u7684\u4f4d\u7f6e\u3002\u6551\u62a4\u8f66\u4ece\u5de6\u5411\u53f3\u79fb\u52a8\uff0c\u56e0\u6b64\u6ce2\u5728\u8be5\u65b9\u5411\u88ab\u538b\u7f29\u3002\u56e0\u6b64\uff0c\u5728\u6551\u62a4\u8f66\u7684\u5de6\u4fa7\uff0c\u9891\u7387\u8f83\u4f4e\uff0c\u6ce2\u957f\u8f83\u9ad8\uff0c\u56e0\u6b64\u53ef\u4ee5\u611f\u89c9\u5230\u8f83\u4f4e\u7684\u58f0\u97f3\u3002\u800c\u5728\u6551\u62a4\u8f66\u7684\u53f3\u4fa7\uff0c\u9891\u7387\u9ad8\uff0c\u6ce2\u957f\u5c0f\uff0c\u6240\u4ee5\u4f1a\u542c\u5230\u9ad8\u4ea2\u7684\u58f0\u97f3\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"650\" height=\"508\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/effet-doppler.png\" alt=\"\u591a\u666e\u52d2\u6548\u5e94\" class=\"wp-image-9736\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/effet-doppler-300x234.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/effet-doppler.png 650w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p>\u591a\u666e\u52d2\u6548\u5e94\u4ee5\u5965\u5730\u5229\u7269\u7406\u5b66\u5bb6\u514b\u91cc\u65af\u8482\u5b89\u00b7\u5b89\u5fb7\u70c8\u4e9a\u65af\u00b7\u591a\u666e\u52d2\uff08Christian Andreas Doppler\uff09\u7684\u540d\u5b57\u547d\u540d\uff0c\u4ed6\u4e8e1842\u5e74\u53d1\u73b0\u4e86\u8fd9\u79cd\u73b0\u8c61\u3002\u540e\u6765\uff0c\u57281848\u5e74\uff0c\u6cd5\u56fd\u7269\u7406\u5b66\u5bb6\u4f0a\u6ce2\u5229\u7279\u00b7\u83f2\u7d22\uff08Hippolyte Fizeau\uff09\u72ec\u7acb\u53d1\u73b0\u4e86\u7535\u78c1\u6ce2\u7684\u76f8\u540c\u73b0\u8c61\uff0c\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u5b83\u4e5f\u88ab\u79f0\u4e3a\u591a\u666e\u52d2\u6548\u5e94\u5f71\u54cd\u3002 -\u6590\u7d22\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-del-efecto-Doppler\"><\/span>\u591a\u666e\u52d2\u6548\u5e94\u7684\u4f8b\u5b50<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u73b0\u5728\u6211\u4eec\u77e5\u9053\u4ec0\u4e48\u662f\u591a\u666e\u52d2\u6548\u5e94\uff0c\u8ba9\u6211\u4eec\u770b\u770b\u8fd9\u79cd\u7269\u7406\u73b0\u8c61\u7684\u65e5\u5e38\u4f8b\u5b50\uff0c\u4ee5\u66f4\u597d\u5730\u7406\u89e3\u8fd9\u4e2a\u6982\u5ff5\u3002<\/p>\n<p><u style=\"text-decoration-color:#4fd12f\"><strong>\u591a\u666e\u52d2\u6548\u5e94\u7684\u4f8b\u5b50\uff1a<\/strong><\/u><\/p>\n<ol style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">\u6551\u62a4\u8f66\u5411\u524d\u884c\u9a76\u7684\u58f0\u97f3\u3002<\/span><\/li>\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">\u4e00\u8f86\u8b66\u8f66\u5728\u8ffd\u8d76\u67d0\u4eba\u65f6\u9e23\u54cd\u4e86\u8b66\u7b1b\u3002<\/span><\/li>\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">\u8fd0\u52a8\u4e2d\u7684\u9a91\u81ea\u884c\u8f66\u8005\u7ecf\u8fc7\u64ad\u653e\u97f3\u4e50\u7684\u626c\u58f0\u5668\u524d\u3002<\/span><\/li>\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">\u98de\u673a\u8fdc\u79bb\u5730\u9762\u5de5\u4f5c\u4eba\u5458\u65f6\u53d1\u51fa\u7684\u58f0\u97f3\u3002<\/span><\/li>\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">\u884c\u9a76\u65f6\u6309\u5587\u53ed\u7684\u6c7d\u8f66\u3002<\/span><\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-del-efecto-Doppler\"><\/span>\u591a\u666e\u52d2\u6548\u5e94\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u591a\u666e\u52d2\u6548\u5e94\u8868\u660e\uff0c\u89c2\u6d4b\u5230\u7684\u9891\u7387\u7b49\u4e8e\u53d1\u5c04\u9891\u7387\u4e58\u4ee5\u5b9e\u9645\u6ce2\u901f\u52a0\u4e0a\u63a5\u6536\u5668\u901f\u5ea6\u4e4b\u548c\u9664\u4ee5\u5b9e\u9645\u6ce2\u901f\u52a0\u4e0a\u53d1\u5c04\u5668\u901f\u5ea6\u3002<\/p>\n<p>\u56e0\u6b64\uff0c<strong>\u591a\u666e\u52d2\u6548\u5e94\u7684\u516c\u5f0f\u4e3a f=f <sub>0<\/sub> (v+v <sub>r<\/sub> )\/(v+v <sub>s<\/sub> )<\/strong> \uff1a<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-4638f6bc70fcec31b3e2b9d054940b18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f=\\left(\\frac{v+v_r}{v+v_s}\\right)\\cdot f_0\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"140\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:8px\">\u91d1\u5b50\uff1a <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:8px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-f5844370b6482674a233a3063f762555_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u662f\u89c2\u5bdf\u5230\u7684\u9891\u7387\u3002 <\/span><\/li>\n<li style=\"margin-bottom:8px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-38c65c9b93e35c1a05f1f9e2f2a0b8b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f_0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"16\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u662f\u53d1\u5c04\u9891\u7387\u3002 <\/span><\/li>\n<li style=\"margin-bottom:8px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-796872219106704832bd95ce08640b7b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u6ce2\u5728\u4ecb\u8d28\u4e2d\u7684\u4f20\u64ad\u901f\u5ea6\u3002 <\/span><\/li>\n<li style=\"margin-bottom:8px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-bf0303425ad718092d2c3b2a6fcac37c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_r\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u63a5\u6536\u5668\u7684\u901f\u5ea6\u3002\u5982\u679c\u63a5\u6536\u8005\u5411\u53d1\u9001\u8005\u79fb\u52a8\uff0c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-bf0303425ad718092d2c3b2a6fcac37c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_r\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u79ef\u6781\u7684\u3002\u4f46\u5982\u679c\u63a5\u6536\u8005\u5411\u76f8\u53cd\u65b9\u5411\u79fb\u52a8\uff0c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-bf0303425ad718092d2c3b2a6fcac37c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_r\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u8d1f\u6570\u3002 <\/span><\/li>\n<li style=\"margin-bottom:8px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-f8074c6444affce8b175811c73865d6f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_s\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u6e90\u7684\u901f\u5ea6\u3002\u5982\u679c\u58f0\u6e90\u8fdc\u79bb\u63a5\u6536\u5668\uff0c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-f8074c6444affce8b175811c73865d6f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_s\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u79ef\u6781\u7684\u3002\u4f46\u5982\u679c\u58f0\u6e90\u8ddd\u79bb\u63a5\u6536\u5668\u66f4\u8fd1\uff0c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-f8074c6444affce8b175811c73865d6f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"v_s\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u8d1f\u6570\u3002<\/span><\/li>\n<\/ul>\n<p>\u603b\u4e4b\uff0c\u5f53\u6e90\u548c\u63a5\u6536\u5668\u9760\u8fd1\u65f6\uff0c\u89c2\u6d4b\u5230\u7684\u9891\u7387\u4f1a\u589e\u52a0\uff0c\u4f46\u662f\uff0c\u5982\u679c\u6e90\u548c\u63a5\u6536\u5668\u8fdb\u4e00\u6b65\u8fdc\u79bb\uff0c\u89c2\u6d4b\u5230\u7684\u9891\u7387\u4f1a\u964d\u4f4e\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Aplicaciones-del-efecto-Doppler\"><\/span>\u591a\u666e\u52d2\u6548\u5e94\u7684\u5e94\u7528<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u591a\u666e\u52d2\u6548\u5e94\u6709\u591a\u79cd\u79d1\u5b66\u5e94\u7528\uff0c\u60a8\u53ef\u4ee5\u5728\u4e0b\u9762\u770b\u5230\u5176\u4e2d\u7684\u4e00\u4e9b\u5e94\u7528\uff1a<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:20px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u96f7\u8fbe<\/strong>\uff1a\u96f7\u8fbe\u5229\u7528\u591a\u666e\u52d2\u6548\u5e94\u6765\u6d4b\u91cf\u6c7d\u8f66\u884c\u9a76\u7684\u901f\u5ea6\u3002\u96f7\u8fbe\u662f\u9759\u6b62\u7684\uff0c\u4f1a\u53d1\u5c04\u4e00\u4e2a\u6ce2\uff0c\u8be5\u6ce2\u4ece\u6c7d\u8f66\u53cd\u5c04\u56de\u6765\uff0c\u5e76\u4ee5\u7565\u6709\u4e0d\u540c\u7684\u9891\u7387\u8fd4\u56de\u96f7\u8fbe\u3002\u8fd9\u6837\u60a8\u5c31\u53ef\u4ee5\u786e\u5b9a\u6c7d\u8f66\u7684\u901f\u5ea6\u4ee5\u53ca\u662f\u5426\u8d85\u8fc7\u901f\u5ea6\u9650\u5236\u3002<\/span><\/li>\n<li style=\"margin-bottom:20px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u5929\u4f53\u7269\u7406\u5b66<\/strong>\uff1a\u591a\u666e\u52d2\u6548\u5e94\u4f7f\u6211\u4eec\u80fd\u591f\u77e5\u9053\u6052\u661f\u662f\u5426\u6b63\u5728\u8fdc\u79bb\u6211\u4eec\u6216\u63a5\u8fd1\u6211\u4eec\u3002\u5149\u7ebf\u7684\u9891\u7387\u4e0e\u6211\u4eec\u611f\u77e5\u5230\u7684\u989c\u8272\u6709\u5173\uff0c\u56e0\u6b64\uff0c\u5982\u679c\u6211\u4eec\u611f\u77e5\u5230\u7684\u6052\u661f\u7684\u989c\u8272\u53d1\u751f\u53d8\u5316\uff0c\u8fd9\u610f\u5473\u7740\u611f\u77e5\u5230\u7684\u9891\u7387\u4e5f\u4f1a\u53d1\u751f\u53d8\u5316\u3002\u56e0\u6b64\uff0c\u901a\u8fc7\u5e94\u7528\u591a\u666e\u52d2\u6548\u5e94\uff0c\u6211\u4eec\u53ef\u4ee5\u77e5\u9053\u6052\u661f\u662f\u5426\u6b63\u5728\u8fdc\u79bb\u6216\u9760\u8fd1\u3002<\/span><\/li>\n<li style=\"margin-bottom:20px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u8d85\u58f0\u653e\u5c04\u56fe<\/strong>\uff1a\u5982\u679c\u5c06\u8d85\u58f0\u6ce2\u53d1\u5c04\u5230\u8840\u6db2\u4e2d\uff0c\u7ea2\u7ec6\u80de\u4f1a\u6839\u636e\u5176\u79fb\u52a8\u901f\u5ea6\u4ee5\u7565\u6709\u4e0d\u540c\u7684\u9891\u7387\u53cd\u5c04\u5c04\u7ebf\u3002\u56e0\u6b64\uff0c\u501f\u52a9\u591a\u666e\u52d2\u6548\u5e94\uff0c\u53ef\u4ee5\u786e\u5b9a\u8840\u6d41\u901f\u5ea6\u5e76\u5206\u6790\u8eab\u4f53\u662f\u5426\u6709\u4efb\u4f55\u75c5\u53d8\u3002<\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7269\u7406\u5b66\u4e2d\u7684\u591a\u666e\u52d2\u6548\u5e94\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u4e86\u89e3\u591a\u666e\u52d2\u6548\u5e94\u7684\u542b\u4e49\u3001\u591a\u666e\u52d2\u6548\u5e94\u7684\u793a\u4f8b\u3001\u5176\u516c\u5f0f\u4ee5\u53ca\u591a\u666e\u52d2\u6548\u5e94\u7684\u5b9e\u9645\u5e94 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" 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