{"id":459,"date":"2023-06-17T02:27:16","date_gmt":"2023-06-17T02:27:16","guid":{"rendered":"https:\/\/physigeek.com\/cn\/%e6%b3%a2%e5%b9%b2%e6%b6%89%e7%89%a9%e7%90%86\/"},"modified":"2023-06-17T02:27:16","modified_gmt":"2023-06-17T02:27:16","slug":"%e6%b3%a2%e5%b9%b2%e6%b6%89%e7%89%a9%e7%90%86","status":"publish","type":"post","link":"https:\/\/physigeek.com\/cn\/%e6%b3%a2%e5%b9%b2%e6%b6%89%e7%89%a9%e7%90%86\/","title":{"rendered":"\u6ce2\u5e72\u6d89\uff08\u7269\u7406\u5b66\uff09"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7269\u7406\u5b66\u4e2d\u7684\u6ce2\u5e72\u6d89\u662f\u4ec0\u4e48\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u4e86\u89e3\u4e24\u4e2a\u6ce2\u5e72\u6d89\u7684\u542b\u4e49\u3001\u6ce2\u5e72\u6d89\u7684\u7c7b\u578b\u3001\u6ce2\u5e72\u6d89\u7684\u793a\u4f8b\uff0c\u4ee5\u53ca\u6700\u540e\u63cf\u8ff0\u4e24\u4e2a\u6ce2\u5e72\u6d89\u7684\u516c\u5f0f\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-interferencia-de-ondas\"><\/span>\u4ec0\u4e48\u662f\u6ce2\u5e72\u6d89\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u7269\u7406\u5b66\u4e2d\uff0c<strong>\u6ce2\u5e72\u6d89<\/strong>\u662f\u4e24\u4e2a\u6216\u591a\u4e2a\u6ce2\u76f8\u4e92\u4ea4\u53c9\u65f6\u53d1\u751f\u7684\u73b0\u8c61\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u6ce2\u5e72\u6d89\u662f\u4e24\u4e2a\u6216\u591a\u4e2a\u6ce2\u53e0\u52a0\u5f62\u6210\u65b0\u7684\u6ce2\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u4e24\u4e2a\u6ce2\u5e72\u6d89\u4ea7\u751f\u7684\u6ce2\u662f\u539f\u59cb\u6ce2\u7684\u603b\u548c\u3002\u56e0\u6b64\uff0c\u8981\u83b7\u5f97\u4e24\u4e2a\u5e72\u6d89\u6ce2\u7684\u65b9\u7a0b\uff0c\u53ea\u9700\u5c06\u5b83\u4eec\u5404\u81ea\u7684\u65b9\u7a0b\u76f8\u52a0\u5373\u53ef\u3002\u4e0b\u9762\u6211\u4eec\u5c06\u770b\u5230\u4e24\u4e2a\u6ce2\u7684\u5e72\u6d89\u65b9\u7a0b\u662f\u4ec0\u4e48\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u5c06\u4e24\u5757\u77f3\u5934\u6254\u8fdb\u88c5\u6ee1\u6c34\u7684\u6c60\u5858\u4e2d\uff0c\u6bcf\u5757\u77f3\u5934\u7684\u649e\u51fb\u90fd\u4f1a\u4ea7\u751f\u6ce2\uff0c\u6ce2\u4f1a\u5728\u6c34\u4e2d\u4f20\u64ad\u3002\u7136\u540e\u4ea7\u751f\u7684\u4e24\u4e2a\u6ce2\u4f1a\u76f8\u4ea4\uff0c\u5e76\u4e14\u4e24\u4e2a\u6ce2\u4f1a\u53d1\u751f\u5e72\u6d89\uff0c\u4ece\u800c\u4ea7\u751f\u4e24\u4e2a\u539f\u59cb\u6ce2\u4e4b\u548c\u6240\u4ea7\u751f\u7684\u6ce2\u3002<\/p>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u5e72\u6270\u662f\u4e00\u79cd\u7269\u7406\u73b0\u8c61\uff0c\u6240\u6709\u7c7b\u578b\u7684\u6ce2\u90fd\u53ef\u80fd\u53d1\u751f\uff1a\u5149\u6ce2\u3001\u65e0\u7ebf\u7535\u6ce2\u3001\u58f0\u6ce2\u7b49\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Tipos-de-interferencia-de-ondas\"><\/span>\u6ce2\u5e72\u6d89\u7684\u7c7b\u578b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u7269\u7406\u5b66\u4e2d\uff0c<strong>\u6ce2\u5e72\u6d89\u6709\u4e24\u79cd\u7c7b\u578b<\/strong>\uff1a<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u76f8\u957f\u6ce2\u5e72\u6d89<\/strong>\u2014\u2014\u91cd\u53e0\u6ce2\u540c\u76f8\u65f6\u53d1\u751f\u7684\u4e00\u79cd\u6ce2\u5e72\u6d89\u3002<\/span><\/li>\n<li style=\"margin-bottom:18px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u7834\u574f\u6027\u6ce2\u5e72\u6270<\/strong>\u2014\u2014\u4e00\u79cd\u5f53\u76f8\u4ea4\u6ce2\u53cd\u76f8\u65f6\u53d1\u751f\u7684\u6ce2\u5e72\u6270\u3002<\/span><\/li>\n<\/ul>\n<p>\u4e0b\u9762\u8be6\u7ec6\u89e3\u91ca\u6bcf\u79cd\u7c7b\u578b\u7684\u6ce2\u5e72\u6270\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Interferencia-de-ondas-constructiva\"><\/span>\u76f8\u957f\u6ce2\u5e72\u6d89<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5f53\u4e24\u4e2a\u6216\u591a\u4e2a\u5177\u6709\u76f8\u540c\u9891\u7387\u548c\u76f8\u4f4d\u91cd\u53e0<strong>\u7684\u6ce2\u65f6\uff0c\u5c31\u4f1a\u53d1\u751f\u76f8\u957f\u6ce2\u5e72\u6d89<\/strong>\u3002\u56e0\u6b64\uff0c\u4e24\u4e2a\u6ce2\u76f8\u957f\u5e72\u6d89\u6240\u4ea7\u751f\u7684\u6ce2\u662f\u632f\u5e45\u8f83\u5927\u7684\u6ce2\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/interference-onde-constructive.png\" alt=\"\u76f8\u957f\u6ce2\u5e72\u6d89\" class=\"wp-image-9275\" width=\"477\" height=\"321\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/interference-onde-constructive-300x202.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/interference-onde-constructive-1024x690.png 1024w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/interference-onde-constructive-768x518.png 768w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/interference-onde-constructive.png 1102w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Interferencia-de-ondas-destructiva\"><\/span>\u7834\u574f\u6027\u6ce2\u7684\u5e72\u6270<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5f53\u4e24\u4e2a\u6216\u591a\u4e2a\u5177\u6709\u76f8\u540c\u9891\u7387\u7684\u53cd\u76f8\uff08180\u00b0\u5f02\u76f8\uff09\u6ce2\u91cd\u53e0\u65f6\uff0c\u5c31\u4f1a\u53d1\u751f<strong>\u7834\u574f\u6027\u6ce2\u5e72\u6270<\/strong>\u3002\u56e0\u6b64\uff0c\u76f8\u6d88\u5e72\u6d89\u4ea7\u751f\u7684\u6ce2\u662f\u632f\u5e45\u8f83\u5c0f\u7684\u6ce2\uff1b\u6709\u65f6\uff0c\u5728\u76f8\u6d88\u5e72\u6d89\u8fc7\u7a0b\u4e2d\uff0c\u6ce2\u4f1a\u76f8\u4e92\u62b5\u6d88\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/interference-onde-destructrice.png\" alt=\"\u7834\u574f\u6027\u6ce2\u5e72\u6d89\" class=\"wp-image-9278\" width=\"478\" height=\"205\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/interference-onde-destructrice-300x129.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/interference-onde-destructrice-1024x440.png 1024w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/interference-onde-destructrice-768x330.png 768w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/interference-onde-destructrice.png 1104w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-interferencias-de-ondas\"><\/span>\u6ce2\u5e72\u6d89\u7684\u4f8b\u5b50<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e00\u65e6\u6211\u4eec\u4e86\u89e3\u4e86\u6ce2\u5e72\u6d89\u7684\u5b9a\u4e49\u4ee5\u53ca\u6ce2\u5e72\u6d89\u6709\u54ea\u4e9b\u4e0d\u540c\u7c7b\u578b\uff0c\u6211\u4eec\u5c31\u4f1a\u770b\u5230\u8fd9\u79cd\u7269\u7406\u73b0\u8c61\u7684\u793a\u4f8b\uff0c\u4ee5\u5145\u5206\u7406\u89e3\u8fd9\u4e2a\u6982\u5ff5\u3002<\/p>\n<p>\u4e0b\u9762\u60a8\u53ef\u4ee5\u770b\u5230\u4e24\u4e2a\u5e72\u6270\u6ce2\u7684\u4f8b\u5b50\u3002\u5728\u7b2c\u4e00\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u6ce2\u76f8\u4e92\u62b5\u6d88\uff0c\u56e0\u6b64\u662f\u7834\u574f\u6027\u6ce2\u5e72\u6d89\u3002\u800c\u5728\u7b2c\u4e8c\u4e2a\u4f8b\u5b50\u4e2d\uff0c\u6ce2\u4ea7\u751f\u66f4\u5927\u632f\u5e45\u7684\u6ce2\uff0c\u56e0\u6b64\uff0c\u6ce2\u7684\u5e72\u6d89\u662f\u76f8\u957f\u7684\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"360\" height=\"223\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/exemples-dinterferences-dondes.gif\" alt=\"\u6ce2\u5e72\u6d89\u7684\u4f8b\u5b50\uff08\u7269\u7406\u5b66\uff09\" class=\"wp-image-9281\"><\/figure>\n<p>\u8bf7\u6ce8\u610f\uff0c\u5728\u6ce2\u5e72\u6d89\u73b0\u8c61\u53d1\u751f\u540e\uff0c\u521d\u59cb\u6ce2\u4fdd\u6301\u5176\u539f\u59cb\u5f62\u72b6\u5e76\u7ee7\u7eed\u6cbf\u5176\u65b9\u5411\u4f20\u64ad\u3002<\/p>\n<p>\u5728\u7269\u7406\u5b66\u4e2d\uff0c<strong>\u6ce2\u53e0\u52a0\u539f\u7406<\/strong>\u6307\u51fa\uff0c\u4e24\u4e2a\u6216\u591a\u4e2a\u6ce2\u4e4b\u95f4\u5e72\u6d89\u4ea7\u751f\u7684\u6ce2\u662f\u5404\u4e2a\u6ce2\u5404\u81ea\u7684\u548c\u3002\u6b63\u5982\u60a8\u5728\u4e0a\u56fe\u4e2d\u770b\u5230\u7684\uff0c\u5f53\u4e24\u4e2a\u6ce2\u76f8\u4e92\u7ecf\u8fc7\u65f6\uff0c\u5b83\u4eec\u91cd\u53e0\u5e76\u4ea7\u751f\u4e00\u4e2a\u65b0\u7684\u7ed3\u679c\u6ce2\uff0c\u5b83\u662f\u539f\u59cb\u6ce2\u7684\u603b\u548c\u3002<\/p>\n<p>\u6700\u540e\uff0c\u5e94\u8be5\u6307\u51fa\u7684\u662f\uff0c\u9a7b\u6ce2\u4e5f\u662f\u4e24\u4e2a\u6ce2\u5e72\u6d89\u7684\u4e00\u4e2a\u4f8b\u5b50\u3002\u4e8b\u5b9e\u4e0a\uff0c\u9a7b\u6ce2\u662f\u7269\u7406\u5b66\u4e2d\u7814\u7a76\u7684\u4e00\u79cd\u6ce2\uff0c\u56e0\u4e3a\u5b83\u4eec\u6765\u81ea\u4e24\u4e2a\u6ce2\u7684\u5e72\u6d89\uff0c\u56e0\u6b64\u5177\u6709\u975e\u5e38\u7279\u6b8a\u7684\u7279\u6027\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 10px; padding-left: 20px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/physigeek.com\/cn\/\u9a7b\u6ce2\/\">\u4ec0\u4e48\u662f\u9a7b\u6ce2\uff1f<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-interferencia-de-ondas\"><\/span>\u6ce2\u5e72\u6d89\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e24\u4e2a\u6ce2\u7684\u5e72\u6d89\u516c\u5f0f\u7531\u4e24\u4e2a\u521d\u59cb\u6ce2\u7684\u65b9\u7a0b\u4e4b\u548c\u7ed9\u51fa\u3002<strong>\u56e0\u6b64\uff0c\u4e24\u4e2a\u6ce2\u7684\u5e72\u6d89\u65b9\u7a0b\u4e3a y=2 A sin[k (x <sub>1<\/sub> +x <sub>2<\/sub> )\/2-\u03c9 t+\u03c6\/2] cos[k (x <sub>1<\/sub> -x <sub>2<\/sub> )\/2- \u03c6\/ 2]<\/strong> \u3002<\/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-d9125d78ba28773d8a8e0a1a0da8230e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle y=2\\cdot A\\cdot \\text{sin}\\left(\\frac{k(x_1+x_2)}{2}-\\omega\\cdot t+\\frac{\\phi}{2}\\ droite)\\text{cos}\\left(\\frac{k(x_1-x_2)}{2}-\\frac{\\phi}{2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"522\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\">\u91d1\u5b50\uff1a <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><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-38461fc041e953482219abf5d4cce1cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u662f\u7814\u7a76\u70b9\u7684\u4f38\u957f\u7387\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><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-816b613a4f79d4bf9cb51396a9654120_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u539f\u59cb\u6ce2\u7684\u632f\u5e45\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><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-d42bc2203d6f76ad01b27ac9acc0bee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u6ce2\u6570\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><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-11e46ba8b122ff2ec557030bd2f06155_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_1,x_2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u5206\u522b\u662f\u7814\u7a76\u70b9\u4e0e\u6ce2 1 \u548c\u6ce2 2 \u7126\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><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-fbffdce91996e0a17795d82e8e6996d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u89d2\u9891\u7387\u6216\u8109\u52a8\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><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-fd9cb27edab3f0a8a249bc80cc9c6ee2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u65f6\u523b\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><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-8358131e7f71b02f5a1b767b67603090_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\phi\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u662f\u4e24\u4e2a\u521d\u59cb\u6ce2\u4e4b\u95f4\u7684\u65f6\u95f4\u6ede\u540e\u3002<\/span><\/li>\n<\/ul>\n<p>\u8bf7\u6ce8\u610f\uff0c\u5982\u679c\u4e24\u4e2a\u5e72\u6270\u6ce2\u6e90\u81ea\u540c\u4e00\u70b9\uff0c\u5219 x <sub>1<\/sub> = x <sub>2<\/sub> = x \u6709\u6548\u3002\u56e0\u6b64\uff0c\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u4e24\u4e2a\u6ce2\u7684\u5e72\u6d89\u65b9\u7a0b\u5982\u4e0b\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-89386ad637b14c93c411c4d53c775d09_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle y=2\\cdot A\\cdot \\text{sin}\\left(k\\cdot x-\\omega\\cdot t+\\frac{\\phi}{2}\\right)\\text{cos}\\left (\\frac{\\phi}{2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"320\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u6ce2\u7684\u6ce2\u6570\u548c\u89d2\u9891\u7387\u662f\u901a\u8fc7\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\u7684\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-bd9a9c86ac7bfe615da6e49025b8b40f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}k=\\cfrac{2\\pi}{\\lambda}\\\\[4ex]\\omega=\\cfrac{2\\pi}{T}=2\\pi f\\end{ tableau}\" title=\"Rendered by QuickLaTeX.com\" height=\"104\" width=\"110\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\">\u91d1\u5b50\uff1a <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><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-d42bc2203d6f76ad01b27ac9acc0bee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u6ce2\u6570\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><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-8c37d2f1acb1d49f3e5e655797880475_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u6ce2\u957f\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><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-fbffdce91996e0a17795d82e8e6996d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u89d2\u9891\u7387\u6216\u8109\u52a8\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><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-7e093fd43ad2c244140c11afe4d4bdff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"T\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u91cd\u70b9\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><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\u9891\u7387\u3002 <\/span><\/li>\n<\/ul>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__FFF8E1\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#FFF8E1\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u53c2\u89c1\u4e24\u4e2a\u6ce2\u5e72\u6d89\u65b9\u7a0b\u7684\u6f14\u793a<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u7ed9\u5b9a\u4e24\u4e2a\u9891\u7387\u76f8\u540c\u3001\u5e45\u5ea6\u76f8\u540c\u4f46\u76f8\u4f4d\u5dee\u4e00\u5b9a\u89d2\u5ea6 \u03c6 \u7684\u4f20\u64ad\u6ce2\u7684\u65b9\u7a0b\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-0a41489f1ca067b0955dd725e0986cf6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}y_1=A\\cdot \\text{sin}(k\\cdot x_1-\\omega\\cdot t)\\\\[3ex]y_2=A\\cdot \\text{sin}(k \\cdot x_2-\\omega\\cdot t+\\phi )\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"64\" width=\"226\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u4e24\u4e2a\u6ce2\u5e72\u6d89\u4ea7\u751f\u7684\u6ce2\u662f\u4e24\u4e2a\u632f\u8361\u6ce2\u7684\u548c\uff0c\u56e0\u6b64\u4e24\u4e2a\u6ce2\u5e72\u6d89\u7684\u65b9\u7a0b\u5c06\u662f\u524d\u4e24\u4e2a\u65b9\u7a0b\u7684\u4ee3\u6570\u548c\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-3bf4f6e9cbead885e080c5275fd5b8a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}y=y_1+y_2\\\\[3ex]y=A\\cdot \\text{sin}(k\\cdot x_1-\\omega\\cdot t)+A\\cdot \\text{ sin}(k\\cdot x_2-\\omega\\cdot t+\\phi )\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"61\" width=\"402\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u7136\u540e\u6211\u4eec\u5c06\u5e94\u7528\u4ee5\u4e0b\u4e09\u89d2\u516c\u5f0f\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-709f860df485f9933890e923dc1318a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\text{sin}(A)+\\text{sin}(B)=2\\cdot \\text{sin}\\left(\\frac{A+B}{2}\\right)\\cdot\\ texte{cos}\\left(\\frac{AB}{2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"410\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u56e0\u6b64\uff0c\u5e94\u7528\u524d\u9762\u7684\u4e09\u89d2\u516c\u5f0f\uff0c\u6211\u4eec\u5f97\u5230\u4e24\u4e2a\u6ce2\u7684\u5e72\u6d89\u65b9\u7a0b\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-59ee4b2f6559532dfa119d290e3f1b59_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\displaystyle y=A\\text{sin}(kx_1-\\omega t)+A\\cdot \\text{sin}(kx_2-\\omega t+\\phi)\\\\[4ex ]\\displaystyle y=2A\\text{sin}\\left(\\frac{(kx_1-\\omega t)+(kx_2-\\omega t+\\phi)}{2}\\right)\\text{cos}\\left(\\ frac{(kx_1-\\omega t)-(kx_2-\\omega t+\\phi)}{2}\\right)\\\\[4ex]\\displaystyle y=2A\\text{sin}\\left(\\frac{k(x_1 +x_2)}{2}-\\omega t+\\frac{\\phi}{2}\\right)\\text{cos}\\left(\\frac{k(x_1-x_2)}{2}-\\frac{\\phi }{2}\\right)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"157\" width=\"636\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7269\u7406\u5b66\u4e2d\u7684\u6ce2\u5e72\u6d89\u662f\u4ec0\u4e48\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u4e86\u89e3\u4e24\u4e2a\u6ce2\u5e72\u6d89\u7684\u542b\u4e49\u3001\u6ce2\u5e72\u6d89\u7684\u7c7b\u578b\u3001\u6ce2\u5e72\u6d89\u7684\u793a\u4f8b\uff0c\u4ee5\u53ca\u6700\u540e\u63cf\u8ff0\u4e24\u4e2a &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/cn\/%e6%b3%a2%e5%b9%b2%e6%b6%89%e7%89%a9%e7%90%86\/\"> <span class=\"screen-reader-text\">\u6ce2\u5e72\u6d89\uff08\u7269\u7406\u5b66\uff09<\/span> \u67e5\u770b\u5168\u6587 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[3],"tags":[],"class_list":["post-459","post","type-post","status-publish","format-standard","hentry","category-3"],"yoast_head":"<!-- This site is optimized 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