{"id":13,"date":"2023-08-06T22:27:39","date_gmt":"2023-08-06T22:27:39","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%87%a0%e4%bd%95%e5%b9%b3%e5%9d%87%e6%95%b0\/"},"modified":"2023-08-06T22:27:39","modified_gmt":"2023-08-06T22:27:39","slug":"%e5%87%a0%e4%bd%95%e5%b9%b3%e5%9d%87%e6%95%b0","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e5%87%a0%e4%bd%95%e5%b9%b3%e5%9d%87%e6%95%b0\/","title":{"rendered":"\u51e0\u4f55\u5e73\u5747\u503c"},"content":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u6211\u4eec\u5c06\u89e3\u91ca\u4ec0\u4e48\u662f\u51e0\u4f55\u5e73\u5747\u6570\u3001\u5982\u4f55\u8ba1\u7b97\u51e0\u4f55\u5e73\u5747\u6570\u4ee5\u53ca\u51e0\u4f55\u5e73\u5747\u6570\u548c\u7b97\u672f\u5e73\u5747\u6570\u4e4b\u95f4\u7684\u533a\u522b\u3002\u60a8\u8fd8\u53ef\u4ee5\u770b\u5230\u51e0\u4f55\u5e73\u5747\u503c\u7684\u9010\u6b65\u6c42\u89e3\u7ec3\u4e60\u4ee5\u53ca\u6b64\u7c7b\u5e73\u5747\u503c\u7684\u5c5e\u6027\u3002\u6700\u540e\uff0c\u60a8\u5c06\u627e\u5230\u4e00\u4e2a\u8ba1\u7b97\u5668\u6765\u8ba1\u7b97\u4efb\u4f55\u6570\u636e\u96c6\u7684\u51e0\u4f55\u5e73\u5747\u503c\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-media-geometrica\"><\/span>\u51e0\u4f55\u5e73\u5747\u6570\u662f\u591a\u5c11\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u51e0\u4f55\u5e73\u5747\u503c\u662f\u63cf\u8ff0\u6027\u7edf\u8ba1\u4e2d\u5fc3\u6027\u7684\u5ea6\u91cf\u3002<strong>\u4e00\u7ec4\u7edf\u8ba1\u6570\u636e\u7684\u51e0\u4f55\u5e73\u5747\u503c\u7b49\u4e8e\u6240\u6709\u503c\u4e58\u79ef\u7684n\u6b21\u65b9\u6839\u3002<\/strong><\/p>\n<p>\u51e0\u4f55\u5e73\u5747\u6570\u5728\u5546\u4e1a\u91d1\u878d\u4e2d\u7528\u4e8e\u8ba1\u7b97\u56de\u62a5\u7387\u3001\u5e73\u5747\u767e\u5206\u6bd4\u548c\u590d\u5229\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u51e0\u4f55\u5e73\u5747\u503c\u7684\u516c\u5f0f\u5982\u4e0b\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/moyenne-geometrique.png\" alt=\"\u51e0\u4f55\u5e73\u5747\u503c\" class=\"wp-image-73\" width=\"245\" height=\"244\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u53ea\u6709\u5f53\u6837\u672c\u4e2d\u7684\u6240\u6709\u6570\u636e\u5747\u4e3a\u6b63\u6570\u65f6\uff0c\u624d\u80fd\u8ba1\u7b97\u51e0\u4f55\u5e73\u5747\u503c\u3002\u56e0\u4e3a\u5982\u679c\u503c\u4e3a\u8d1f\uff0c\u5219\u6839\u5c06\u6709\u8d1f\u89e3\u6216\u65e0\u89e3\uff0c\u53e6\u4e00\u65b9\u9762\uff0c\u5982\u679c\u6570\u636e\u4e3a\u96f6\uff0c\u5219\u6570\u636e\u76f8\u4e58\u5c06\u5f97\u5230\u96f6\uff0c\u56e0\u6b64\u51e0\u4f55\u5e73\u5747\u503c\u5c06\u7b49\u4e8e 0\u3002<\/p>\n<p>\u51e0\u4f55\u5e73\u5747\u6570\u5e76\u4e0d\u662f\u552f\u4e00\u5b58\u5728\u7684\u5e73\u5747\u6570\uff0c\u8fd8\u6709\u7b97\u672f\u5e73\u5747\u6570\u3001\u52a0\u6743\u5e73\u5747\u6570\u3001\u5e73\u65b9\u5e73\u5747\u6570\u548c\u8c03\u548c\u5e73\u5747\u6570\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"diferencia-entre-la-media-geometrica-y-la-media-aritmetica\"><\/span>\u51e0\u4f55\u5e73\u5747\u6570\u4e0e\u7b97\u672f\u5e73\u5747\u6570\u7684\u533a\u522b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u51e0\u4f55\u5e73\u5747\u6570\u4e0e\u7b97\u672f\u5e73\u5747\u6570\u7684\u4e3b\u8981\u533a\u522b<\/strong>\u5728\u4e8e\uff0c\u51e0\u4f55\u5e73\u5747\u6570\u5bf9\u6781\u503c\u7684\u654f\u611f\u5ea6\u4e0d\u5982\u7b97\u672f\u5e73\u5747\u6570\u3002\u53e6\u5916\uff0c\u7b97\u672f\u5e73\u5747\u503c\u53ef\u4ee5\u7528\u8d1f\u503c\u548c\u96f6\u503c\u6765\u8ba1\u7b97\uff0c\u800c\u51e0\u4f55\u5e73\u5747\u503c\u53ea\u80fd\u7528\u6b63\u503c\u6765\u8ba1\u7b97\u3002<\/p>\n<p>\u540c\u6837\uff0c\u5bf9\u4e8e\u540c\u4e00\u6570\u636e\u96c6\uff0c\u51e0\u4f55\u5e73\u5747\u503c\u901a\u5e38\u4f4e\u4e8e\u7b97\u672f\u5e73\u5747\u503c\u3002<\/p>\n<p>\u8fd8\u5e94\u8be5\u6307\u51fa\u7684\u662f\uff0c\u51e0\u4f55\u5e73\u5747\u503c\u7684\u8ba1\u7b97\u66f4\u4e3a\u590d\u6742\uff0c\u56e0\u6b64\u5176\u7edf\u8ba1\u610f\u4e49\u66f4\u96be\u4ee5\u89e3\u91ca\u3002<\/p>\n<p>\u7b80\u800c\u8a00\u4e4b\uff0c\u4e0e\u7b97\u672f\u5e73\u5747\u76f8\u6bd4\uff0c\u51e0\u4f55\u5e73\u5747\u6709\u4f18\u70b9\u548c\u7f3a\u70b9\uff0c\u5e76\u4e14\u6839\u636e\u6570\u636e\u7684\u6027\u8d28\uff0c\u8ba1\u7b97\u8fd9\u4e2a\u6216\u90a3\u4e2a\u5e73\u5747\u503c\u662f\u5408\u9002\u7684\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-la-media-geometrica\"><\/span>\u5982\u4f55\u8ba1\u7b97\u51e0\u4f55\u5e73\u5747\u503c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8981\u8ba1\u7b97\u51e0\u4f55\u5e73\u5747\u503c\uff0c\u5fc5\u987b\u6267\u884c\u4ee5\u4e0b\u6b65\u9aa4\uff1a<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u8ba1\u7b97\u6837\u672c\u4e2d\u6240\u6709\u7edf\u8ba1\u6570\u636e\u7684\u4e58\u79ef\u3002<\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u6c42\u8ba1\u7b97\u51fa\u7684\u4e58\u79ef\u7684 n \u6b21\u65b9\u6839\u3002<\/span><\/li>\n<li><span style=\"color:#101010;font-weight: normal;\">\u6240\u5f97\u7ed3\u679c\u4e3a\u7edf\u8ba1\u6837\u672c\u7684\u51e0\u4f55\u5e73\u5747\u503c\u3002<\/span><\/li>\n<\/ol>\n<p>\u6b63\u5982\u60a8\u6240\u770b\u5230\u7684\uff0c\u4f7f\u7528\u8ba1\u7b97\u5668\u6216\u8ba1\u7b97\u673a\u7a0b\u5e8f\u67e5\u627e\u4e00\u7ec4\u6570\u636e\u7684\u51e0\u4f55\u5e73\u5747\u503c\u76f8\u5bf9\u7b80\u5355\uff0c\u56e0\u4e3a\u60a8\u53ea\u9700\u8981\u8ba1\u7b97\u4e58\u79ef\u548c\u6839\u3002\u76f8\u53cd\uff0c\u624b\u5de5\u8ba1\u7b97\u662f\u76f8\u5f53\u8d39\u529b\u7684\u3002<\/p>\n<p> \ud83d\udc49<u style=\"text-decoration-color:#FF8A05;\">\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u6211\u4eec\u5efa\u8bae\u4f7f\u7528\u4e0b\u9762\u7684\u8ba1\u7b97\u5668\u6765\u8ba1\u7b97\u6570\u636e\u96c6\u7684\u51e0\u4f55\u5e73\u5747\u503c\u3002<\/u> <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-media-geometrica\"><\/span>\u51e0\u4f55\u5e73\u5747\u6570\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e00\u65e6\u6211\u4eec\u4e86\u89e3\u4e86\u51e0\u4f55\u5e73\u5747\u503c\u7684\u7406\u8bba\uff0c\u6211\u4eec\u5c06\u505a\u4e00\u4e2a\u793a\u4f8b\uff0c\u4ee5\u4fbf\u60a8\u53ef\u4ee5\u51c6\u786e\u5730\u4e86\u89e3\u5982\u4f55\u83b7\u5f97\u51e0\u4f55\u5e73\u5747\u503c\u3002<\/p>\n<ul>\n<li>\u516c\u53f8\u8fc7\u53bb\u4e94\u5e74\u7684\u7ecf\u6d4e\u4e1a\u7ee9\u662f\u5df2\u77e5\u7684\u3002\u7b2c\u4e00\u5e74\uff0c\u516c\u53f8\u5b9e\u73b0\u4e8610%\u7684\u7ecf\u6d4e\u5229\u6da6\uff0c\u7b2c\u4e8c\u5e74\uff0c\u5229\u6da6\u8fbe\u523023%\uff0c\u7b2c\u4e09\u5e74\uff0c\u8d5a\u5230\u7684\u94b1\u662f16%\uff0c\u7b2c\u56db\u5e74\uff0c\u5b9e\u73b0\u4e867%\u7684\u7ecf\u6d4e\u5229\u6da6\uff0c\u6295\u8d44\u7b2c\u4e94\u5e74\u7684\u56de\u62a5\u7387\u4e3a 20%\u3002\u60a8\u9700\u8981\u8ba1\u7b97\u6240\u6709\u767e\u5206\u6bd4\u7684\u5e73\u5747\u503c\u3002<\/li>\n<\/ul>\n<p>\u6b63\u5982\u6211\u4eec\u6240\u770b\u5230\u7684\uff0c\u8ba1\u7b97\u767e\u5206\u6bd4\u7684\u5e73\u5747\u503c\u65f6\uff0c\u4e0d\u5e94\u4f7f\u7528\u7b97\u672f\u5e73\u5747\u503c\uff0c\u800c\u5e94\u4f7f\u7528\u51e0\u4f55\u5e73\u5747\u503c\u8fdb\u884c\u8ba1\u7b97\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u6211\u4eec\u5e94\u7528\u51e0\u4f55\u5e73\u5747\u516c\u5f0f\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-df1df76576009201171315e90c02b672_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"MG=\\sqrt[n]{\\prod_{i=1}^Nx_i}=\\sqrt[n]{x_1\\cdot x_2\\cdot \\ldots x_n}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"281\" style=\"vertical-align: -9px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u5c06\u793a\u4f8b\u503c\u4ee3\u5165\u516c\u5f0f\u5e76\u8fdb\u884c\u8ba1\u7b97\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-755ae8b42cfd3fa8033309d555631c88_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"MG=\\sqrt[5]{1,10\\cdot 1,23\\cdot 1,16\\cdot 1,07\\cdot 1,20}=1,15 \\ \\longrightarrow \\ 15 \\% \" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"436\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u8bf7\u6ce8\u610f\uff0c\u6211\u4eec\u6709\u4e94\u4e2a\u6570\u636e\u70b9\uff0c\u56e0\u6b64\u6211\u4eec\u6b63\u5728\u8ba1\u7b97\u4e94\u6b21\u65b9\u6839\u3002<\/p>\n<p>\u51e0\u4f55\u5e73\u5747\u6570\u7684\u6570\u503c\u7ed3\u679c\u4e3a1.15\uff0c\u8fd9\u610f\u5473\u7740\u8be5\u516c\u53f8\u6bcf\u5e74\u7684\u7ecf\u6d4e\u589e\u957f\u7387\u4e3a15%\u3002<\/p>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u6211\u4eec\u80fd\u591f\u83b7\u5f97\u51e0\u4f55\u5e73\u5747\u503c\uff0c\u56e0\u4e3a\u6240\u6709\u503c\u90fd\u662f\u6b63\u6570\uff0c\u4f46\u5982\u679c\u4efb\u4f55\u767e\u5206\u6bd4\u4e3a\u8d1f\u6570\uff0c\u6211\u4eec\u5c31\u5fc5\u987b\u5c06\u6570\u636e\u4f5c\u4e3a\u5e26\u6709\u6574\u6570\u90e8\u5206\u7684\u6b63\u5c0f\u6570\u653e\u5165\u516c\u5f0f\u4e2d\u3002\u7b49\u4e8e\u96f6\u3002\u4f8b\u5982\uff0c-30%\u7684\u589e\u957f\u5e94\u5728\u516c\u5f0f\u4e2d\u8868\u793a\u4e3a0.70\uff081-0.3=0.7\uff09\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-media-geometrica\"><\/span>\u51e0\u4f55\u5e73\u5747\u503c\u8ba1\u7b97\u5668<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5c06\u4efb\u4f55\u6837\u672c\u7edf\u8ba1\u6570\u636e\u63d2\u5165\u4e0b\u9762\u7684\u8ba1\u7b97\u5668\u5373\u53ef\u627e\u5230\u5176\u51e0\u4f55\u5e73\u5747\u503c\u3002\u6570\u636e\u5fc5\u987b\u7528\u7a7a\u683c\u5206\u9694\uff0c\u5e76\u4f7f\u7528\u53e5\u70b9\u4f5c\u4e3a\u5c0f\u6570\u70b9\u5206\u9694\u7b26\u8f93\u5165\u3002\u8bf7\u8bb0\u4f4f\uff0c\u5982\u679c\u503c\u4e3a\u8d1f\u6216\u96f6\uff0c\u5219\u65e0\u6cd5\u786e\u5b9a\u51e0\u4f55\u5e73\u5747\u503c\u3002 <\/p>\n<form action=\"\" method=\"post\"><textarea name=\"datos\" style=\"border:1.5px solid #4FC3F7; border-radius:15px;\" placeholder=\"1 2 3 5.8 7 10.49 ...\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce los datos aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/textarea><\/p>\n<div style=\"text-align:center\"><input align=\"center\" style=\"border-radius:30px; margin: 20px\" type=\"submit\" name=\"submit\" value=\"\u8ba1\u7b97\u51e0\u4f55\u5e73\u5747\u503c\"><\/div>\n<\/form>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-media-geometrica\"><\/span>\u51e0\u4f55\u5e73\u5747\u6570\u7684\u6027\u8d28<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u51e0\u4f55\u5e73\u5747\u6570\u5177\u6709\u4ee5\u4e0b\u7279\u70b9\uff1a<\/p>\n<ul>\n<li>\u8fd9\u662f\u4e00\u79cd\u5e73\u5747\u503c\uff0c\u5bf9\u4e8e\u67e5\u627e\u767e\u5206\u6bd4\u6216\u6307\u6570\u7684\u5e73\u5747\u503c\u975e\u5e38\u6709\u7528\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u53ea\u6709\u6240\u6709\u6570\u636e\u5747\u4e3a\u6b63\u6570\u65f6\u624d\u80fd\u8ba1\u7b97\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u4e24\u4e2a\u6570<em>a<\/em>\u548c<em>b<\/em>\u7684\u51e0\u4f55\u5e73\u5747\u503c\u7684\u51e0\u4f55\u610f\u4e49\u662f\u4e0e\u8fb9\u957f\u4e3a<em>a<\/em>\u548c<em>b<\/em>\u7684\u77e9\u5f62\u9762\u79ef\u76f8\u540c\u7684\u6b63\u65b9\u5f62\u7684\u8fb9\u957f\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-9273ec4a68ec93f6e1837ee67562511c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"MG(a,b)=\\sqrt{a\\cdot b}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"140\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u4e09\u4e2a\u6570<em>a<\/em> \u3001 <em>b<\/em>\u548c<em>c<\/em>\u7684\u51e0\u4f55\u5e73\u5747\u503c\u7684\u51e0\u4f55\u610f\u4e49\u662f\u4f53\u79ef\u7b49\u4e8e\u8fb9\u957f<em>a<\/em> \u3001 <em>b<\/em>\u548c<em>c<\/em>\u7684\u5e73\u884c\u516d\u9762\u4f53\u7684\u7acb\u65b9\u4f53\u7684\u8fb9\u957f\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-9f50d31ad5784ad09ce1f6a6eeb3d135_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"MG(a,b,c)=\\sqrt[3]{a\\cdot b \\cdot c}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"178\" style=\"vertical-align: 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