{"id":26828,"date":"2021-11-05T13:00:01","date_gmt":"2021-11-05T13:00:01","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=26828"},"modified":"2024-05-22T07:40:57","modified_gmt":"2024-05-22T07:40:57","slug":"%e5%a6%82%e4%bd%95%e4%bd%bf%e7%94%a8%e8%a1%a8%e6%a0%bc%e8%ae%a1%e7%ae%97%e6%ad%a3%e6%80%81%e5%88%86%e5%b8%83%ef%bc%9f","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/zh\/%e5%a6%82%e4%bd%95%e4%bd%bf%e7%94%a8%e8%a1%a8%e6%a0%bc%e8%ae%a1%e7%ae%97%e6%ad%a3%e6%80%81%e5%88%86%e5%b8%83%ef%bc%9f\/","title":{"rendered":"\u5982\u4f55\u4f7f\u7528\u8868\u683c\u8ba1\u7b97\u6b63\u6001\u5206\u5e03\uff1f"},"content":{"rendered":"<div style=\"background-color:#F3F3F3; padding:20px;\">\n  <center><\/p>\n<h1>\u5982\u4f55\u4f7f\u7528\u8868\u683c\u8ba1\u7b97\u6b63\u6001\u5206\u5e03\uff1f<\/h1>\n<p><\/p>\n<p style=\"text-align:center;\">\n      <strong>\u6458\u8981<\/strong><br \/>\n      <em>\u5728\u672c\u8bfe\u4e2d\uff0c\u6211\u4eec\u5c06\u8ba8\u8bba\u6b63\u6001\u5206\u5e03\uff0c\u8fd9\u662f\u6700\u5e38\u89c1\u7684\u8fde\u7eed\u6982\u7387\u5206\u5e03\u4e4b\u4e00\u3002\u6211\u4eec\u5c06\u5206\u6790\u53c2\u6570\u4e3a \u03bc \u548c \u03c3 \u7684\u968f\u673a\u53d8\u91cf X \u5982\u4f55\u9075\u5faa\u6b63\u6001\u5206\u5e03\uff0c\u4ee5\u53ca\u5982\u4f55\u901a\u8fc7\u79ef\u5206\u66ff\u4ee3\u4f7f\u8be5\u5206\u5e03\u6807\u51c6\u5316\u3002\u7136\u800c\uff0c\u5c3d\u7ba1\u901a\u8fc7\u6807\u51c6\u5316\u7b80\u5316\u4e86\u79ef\u5206\uff0c\u79ef\u5206\u7684\u89e3\u6790\u8ba1\u7b97\u4ecd\u7136\u662f\u4e00\u4e2a\u6311\u6218\uff0c\u56e0\u4e3a\u6ca1\u6709\u4ee3\u6570\u8868\u8fbe\u5f0f\u53ef\u4ee5\u8868\u8fbe\u5176\u7ed3\u679c\u3002\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\uff0c\u6211\u4eec\u5c06\u5c55\u793a\u4e00\u4e2a\u7528 Excel \u6784\u5efa\u7684\u6807\u51c6\u6b63\u6001\u5206\u5e03\u8868\uff0c\u8be5\u8868\u63d0\u4f9b\u4e86\u51fd\u6570\u503c\u7684\u6570\u503c\u8fd1\u4f3c\u3002\u6211\u4eec\u5c06\u8be6\u7ec6\u89e3\u91ca\u5982\u4f55\u4f7f\u7528\u8be5\u8868\uff0c\u5305\u62ec\u5c06\u7d2f\u79ef\u6982\u7387\u89e3\u91ca\u4e3a\u66f2\u7ebf\u4e0b\u9762\u79ef\u3002\u6700\u540e\uff0c\u672c\u8bfe\u4ee5\u4e00\u7cfb\u5217\u5b9e\u9645\u7ec3\u4e60\u7ed3\u675f\uff0c\u8fd9\u4e9b\u7ec3\u4e60\u96c6\u4e2d\u5728\u4f7f\u7528\u6b63\u6001\u5206\u5e03\u8868\u548c\u6807\u51c6\u6b63\u6001\u5206\u5e03\u6982\u5ff5\u8fdb\u884c\u6982\u7387\u548c\u4f30\u8ba1\u7684\u8ba1\u7b97\u3002<\/em>\n    <\/p>\n<p>  <\/center><br \/>\n  <\/p>\n<p style=\"text-align:center;\">\n    <strong>\u5b66\u4e60\u76ee\u6807\uff1a<\/strong><br \/>\n    \u5728\u672c\u8bfe\u7ed3\u675f\u65f6\uff0c\u5b66\u751f\u5c06\u80fd\u591f\uff1a\n  <\/p>\n<ol>\n<li><strong>\u6f14\u793a<\/strong>\u6807\u51c6\u6b63\u6001\u5206\u5e03\u4e0e\u53c2\u6570\u4e3a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mu<\/span><\/span> \u548c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\sigma<\/span><\/span> \u7684\u6b63\u6001\u5206\u5e03\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u901a\u8fc7\u79ef\u5206\u66ff\u4ee3\u3002<\/li>\n<li><strong>\u89e3\u51b3<\/strong>\u4f7f\u7528\u6807\u51c6\u6b63\u6001\u5206\u5e03\u8868\u7684\u5b9e\u9645\u95ee\u9898\u3002<\/li>\n<li><strong>\u6784\u5efa<\/strong>\u5e76\u4f7f\u7528 Excel \u521b\u5efa\u7684\u6807\u51c6\u6b63\u6001\u5206\u5e03\u8868\u3002<\/li>\n<\/ol>\n<p>  <center><br \/>\n    <strong><u>\u5185\u5bb9\u7d22\u5f15<\/u>\uff1a<\/strong><br \/>\n    <a href=\"#1\">\u6b63\u6001\u5206\u5e03\u7684\u95ee\u9898\u4e0e\u89e3\u51b3\u65b9\u6848<\/a><br \/>\n    <a href=\"#2\">\u5982\u4f55\u4f7f\u7528\u6b64\u8868\u683c\uff1f<\/a><br \/>\n    <a href=\"#3\">\u7ec3\u4e60<\/a><br \/>\n  <\/center><br \/>\n  <center><br \/>\n    <iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/GdoFK696k3s\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><br \/>\n  <\/center>\n<\/div>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u6b63\u6001\u5206\u5e03\u7684\u95ee\u9898\u4e0e\u89e3\u51b3\u65b9\u6848<\/h2>\n<p style=\"text-align:justify;\">\u6700\u5e38\u7528\u7684<a href=\"http:\/\/toposuranos.com\/material\/es\/distribuciones-continuas-de-probabilidad\/\" rel=\"noopener\" target=\"_blank\">\u8fde\u7eed\u6982\u7387\u5206\u5e03<\/a>\u4e4b\u4e00\u662f\u6b63\u6001\u5206\u5e03\u3002\u968f\u673a\u53d8\u91cf <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u5f53\u6ee1\u8db3\u53c2\u6570\u4e3a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mu,\\sigma<\/span><\/span> \u7684\u6b63\u6001\u5206\u5e03\u65f6\uff0c<\/p>\n<p class=\"eq\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle P(X\\leq x) =\\Phi_{\\mu,\\sigma}(x) = \\int_{-\\infty}^x \\frac{1}{\\sqrt{2\\pi}\\sigma} e^{-\\frac{1}{2} \\left(\\frac{t-\\mu}{\\sigma}\\right)^2}dt <\/span><\/span><\/p>\n<p>\u6211\u4eec\u8fd8<a href=\"https:\/\/www.youtube.com\/watch?v=kdxgrB1h98g&amp;t=1188s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u770b\u5230<\/span><\/strong><\/a>\uff0c\u5982\u679c\u5728\u79ef\u5206\u4e2d\u505a\u66ff\u4ee3 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle z= \\frac{t-\\mu}{\\sigma},<\/span><\/span> \u4e5f\u53ef\u4ee5\u5c06\u8be5\u5206\u5e03\u201c\u6807\u51c6\u5316\u201d\uff0c\u5f97\u5230\uff1a<\/p>\n<p class=\"eq\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\Phi_{\\mu,\\sigma}(x) = \\int_{-\\infty}^{\\frac{x-\\mu}{\\sigma}} \\frac{1}{\\sqrt{2\\pi}} e^{-\\frac{t^2}{2} }dt = \\Phi_{0,1}\\left(\\frac{x-\\mu}{\\sigma} \\right) <\/span><\/span><\/p>\n<p style=\"text-align:justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=GdoFK696k3s&amp;t=270s\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000;\"><strong>\u867d\u7136\u8fd9\u79cd\u6807\u51c6\u5316\u8fc7\u7a0b<\/strong><\/span><\/a>\u7b80\u5316\u4e86\u79ef\u5206\uff0c\u4f46\u4ecd\u4e0d\u8db3\u4ee5\u4f7f\u6211\u4eec\u80fd\u591f\u8ba1\u7b97\u8be5\u5206\u5e03\u7684\u4efb\u4f55\u6982\u7387\u3002\u4e8b\u5b9e\u4e0a\uff0c\u6211\u4eec\u65e0\u6cd5\u89e3\u6790\u8ba1\u7b97\u8fd9\u4e2a\u79ef\u5206\u7684\u7ed3\u679c\uff0c\u56e0\u4e3a\u6ca1\u6709\u4ee3\u6570\u8868\u8fbe\u5f0f\u53ef\u4ee5\u8868\u793a\u8fd9\u4e9b\u79ef\u5206\u7684\u7ed3\u679c\uff0c\u8fd9\u4f7f\u6211\u4eec\u9677\u5165\u56f0\u5883\u3002\u7136\u800c\uff0c\u5982\u679c\u6211\u4eec\u6709\u4e00\u4e9b\u6807\u51c6\u6b63\u6001\u5206\u5e03\u51fd\u6570\u503c\u7684\u6570\u503c\u8fd1\u4f3c\uff0c\u6211\u4eec\u53ef\u4ee5\u5f00\u59cb\u8fdb\u884c\u4e00\u4e9b\u4f30\u8ba1\u3002\u8fd9\u4e9b\u503c\u603b\u7ed3\u5728\u6211\u4e3a\u4f60\u5728 Excel \u4e2d\u6784\u5efa\u7684<strong>\u6807\u51c6\u6b63\u6001\u5206\u5e03\u8868<\/strong>\u4e2d &gt;:D<\/p>\n<p><center><br \/>\n  <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/tabla-distribucion-normalb.png\" alt=\"\" width=\"784\" height=\"774\" class=\"aligncenter size-full wp-image-26819 lazyload\" \/><noscript><img decoding=\"async\" src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/tabla-distribucion-normalb.png\" alt=\"\" width=\"784\" height=\"774\" class=\"aligncenter size-full wp-image-26819 lazyload\" srcset=\"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/tabla-distribucion-normalb.png 784w, https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/tabla-distribucion-normalb-300x296.png 300w, https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/tabla-distribucion-normalb-768x758.png 768w\" sizes=\"(max-width: 784px) 100vw, 784px\" \/><\/noscript><br \/>\n  <em>\u4f60\u53ef\u4ee5\u5728\u4ee5\u4e0b<a href=\"https:\/\/www.dropbox.com\/s\/9yff75b70wd75xn\/tabla%20-%20distribucion%20normal%20estandar.xlsx?dl=0\" rel=\"noopener\" target=\"_blank\">\u94fe\u63a5<\/a>\u4e0b\u8f7d\u6b64\u8868\u7684 Excel \u683c\u5f0f\u3002\u6211\u5efa\u8bae\u67e5\u770b\u8be5\u6587\u4ef6\uff0c\u56e0\u4e3a\u8fd9\u6837\u4f60\u53ef\u4ee5\u5b66\u4e60\u5982\u4f55\u5728\u627e\u4e0d\u5230\u8868\u65f6\u6784\u5efa\u81ea\u5df1\u7684\u8868 \ud83d\ude42<\/em><br \/>\n<\/center><\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u5982\u4f55\u4f7f\u7528\u6b64\u8868\u683c\uff1f<\/h2>\n<p style=\"text-align:justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=GdoFK696k3s&amp;t=622s\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000;\"><strong>\u8981\u8f7b\u677e\u4f7f\u7528\u6b64\u8868\u683c<\/strong><\/span><\/a>\uff0c\u4f60\u5fc5\u987b\u8bb0\u4f4f\uff0c\u9664\u4e86\u8868\u793a\u7d2f\u79ef\u6982\u7387\u5916\uff0c\u5b83\u8fd8\u8868\u793a\u66f2\u7ebf\u4e0b\u7684\u9762\u79ef\uff08\u5bc6\u5ea6\u51fd\u6570\uff09\u3002\u8fd9\u53ef\u4ee5\u5728\u4e0b\u56fe\u4e2d\u770b\u5230\uff1a<\/p>\n<p><center><br \/>\n  <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/comousarlatablab.png\" alt=\"\" width=\"784\" height=\"774\" class=\"aligncenter size-full wp-image-26820 lazyload\" \/><noscript><img decoding=\"async\" src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/comousarlatablab.png\" alt=\"\" width=\"784\" height=\"774\" class=\"aligncenter size-full wp-image-26820 lazyload\" srcset=\"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/comousarlatablab.png 784w, https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/comousarlatablab-300x296.png 300w, https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2021\/11\/comousarlatablab-768x758.png 768w\" sizes=\"(max-width: 784px) 100vw, 784px\" \/><\/noscript><br \/>\n<\/center><\/p>\n<p style=\"text-align:justify;\">\u7406\u89e3\u8fd9\u4e00\u70b9\u540e\uff0c\u4e0b\u4e00\u6b65\u662f\u89e3\u91ca\u8868\u683c\u7684\u5b9e\u9645\u4f7f\u7528\u65b9\u6cd5\u3002\u6211\u4eec\u5728\u8fd9\u91cc\u770b\u5230\u7684\u662f\uff0c\u6211\u4eec\u8981\u8bc4\u4f30\u51fd\u6570 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Phi_{0,1}(z)<\/span><\/span> \u7684\u503c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">z<\/span><\/span> \u5206\u6210\u4e24\u90e8\u5206\uff1a\u5728\u5217\u4e2d\uff0c\u4f60\u4f1a\u627e\u5230\u5176\u6269\u5c55\u5230\u7b2c\u4e00\u4e2a\u5c0f\u6570\u4f4d\uff0c\u5728\u884c\u4e2d\uff0c\u4f60\u4f1a\u627e\u5230\u7b2c\u4e8c\u4e2a\u5c0f\u6570\u4f4d\uff1b\u56e0\u6b64\uff0c\u4f8b\u5982\uff1a\u6570\u5b57 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">z=1,72<\/span><\/span> \u53ef\u4ee5\u627e\u5230\u7c7b\u4f3c\u4e8e\u201c\u5750\u6807\u201d\u7684\u5f62\u5f0f\uff1a\u5782\u76f4\u662f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">1,7,<\/span><\/span> \u6c34\u5e73\u662f <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0,02.<\/span><\/span> \u6700\u540e\uff0c<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Phi_{0,1}(1,72)<\/span><\/span> \u7684\u6570\u503c\u8fd1\u4f3c\u5c06\u5728\u201c1,7\u201d\u548c\u201c0,02\u201d\u7684\u5750\u6807\u5757\u4e2d\u663e\u793a\uff0c\u663e\u793a\u503c\u4e3a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">0,957284.<\/span><\/span><\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u7ec3\u4e60<\/h2>\n<ol>\n<li>\u4f30\u8ba1 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Phi_{0,1}(2,93)<\/span><\/span> \u7684\u503c<\/li>\n<li>\u4f30\u8ba1 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Phi_{\\mu=12,\\sigma=3}(11,5)<\/span><\/span> \u7684\u503c<\/li>\n<li>\u968f\u673a\u53d8\u91cf <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X<\/span><\/span> \u5177\u6709\u6b63\u6001\u5206\u5e03 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">N(\\mu=37,\\sigma=9).<\/span><\/span> \u8ba1\u7b97 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(35 \\lt X \\lt 43).<\/span><\/span><\/li>\n<li>\u4e00\u4e2a\u644a\u8d29\u6bcf\u5929\u8150\u70c2\u7684\u897f\u7ea2\u67ff\u6570\u91cf\u7684\u5e73\u5747\u503c\u4e3a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mu=50<\/span><\/span>\uff0c\u6807\u51c6\u5dee\u4e3a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\sigma=15.<\/span><\/span> \u5982\u679c\u644a\u8d29\u6bcf\u5468\u5e26\u897f\u7ea2\u67ff 3 \u6b21\uff0c\u4f30\u8ba1\u5728\u4e00\u4e2a\u6708\u4e2d\u6bcf\u5929\u8150\u70c2\u8d85\u8fc7 60 \u4e2a\u897f\u7ea2\u67ff\u7684\u5929\u6570\u3002<\/li>\n<li>\u5047\u8bbe <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">X \\sim N(\\mu,\\sigma)<\/span><\/span> \u8ba1\u7b97\u4ee5\u4e0b\u6982\u7387\uff1a\n<ol>\n<li type=\"a\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(\\mu - \\sigma \\leq X \\leq \\mu + \\sigma)<\/span><\/span><\/li>\n<li type=\"a\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(X \\leq \\mu - \\sigma \\vee \\mu + \\sigma \\leq X)<\/span><\/span><\/li>\n<li type=\"a\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">P(X \\leq \\mu - n\\sigma \\vee \\mu + n\\sigma \\leq X)<\/span><\/span><\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<p><center><br \/>\n  <iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/6tEAj-_dd_c\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><br \/>\n<\/center><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5982\u4f55\u4f7f\u7528\u8868\u683c\u8ba1\u7b97\u6b63\u6001\u5206\u5e03\uff1f \u6458\u8981 \u5728\u672c\u8bfe\u4e2d\uff0c\u6211\u4eec\u5c06\u8ba8\u8bba\u6b63\u6001\u5206\u5e03\uff0c\u8fd9\u662f\u6700\u5e38\u89c1\u7684\u8fde\u7eed\u6982\u7387\u5206\u5e03\u4e4b\u4e00\u3002\u6211\u4eec\u5c06\u5206\u6790\u53c2\u6570\u4e3a \u03bc \u548c \u03c3 \u7684\u968f\u673a\u53d8\u91cf X \u5982\u4f55\u9075\u5faa\u6b63\u6001\u5206\u5e03\uff0c\u4ee5\u53ca\u5982\u4f55\u901a\u8fc7\u79ef\u5206\u66ff\u4ee3\u4f7f\u8be5\u5206\u5e03\u6807\u51c6\u5316\u3002\u7136\u800c\uff0c\u5c3d\u7ba1\u901a\u8fc7\u6807\u51c6\u5316\u7b80\u5316\u4e86\u79ef\u5206\uff0c\u79ef\u5206\u7684\u89e3\u6790\u8ba1\u7b97\u4ecd\u7136\u662f\u4e00\u4e2a\u6311\u6218\uff0c\u56e0\u4e3a\u6ca1\u6709\u4ee3\u6570\u8868\u8fbe\u5f0f\u53ef\u4ee5\u8868\u8fbe\u5176\u7ed3\u679c\u3002\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\uff0c\u6211\u4eec\u5c06\u5c55\u793a\u4e00\u4e2a\u7528 Excel \u6784\u5efa\u7684\u6807\u51c6\u6b63\u6001\u5206\u5e03\u8868\uff0c\u8be5\u8868\u63d0\u4f9b\u4e86\u51fd\u6570\u503c\u7684\u6570\u503c\u8fd1\u4f3c\u3002\u6211\u4eec\u5c06\u8be6\u7ec6\u89e3\u91ca\u5982\u4f55\u4f7f\u7528\u8be5\u8868\uff0c\u5305\u62ec\u5c06\u7d2f\u79ef\u6982\u7387\u89e3\u91ca\u4e3a\u66f2\u7ebf\u4e0b\u9762\u79ef\u3002\u6700\u540e\uff0c\u672c\u8bfe\u4ee5\u4e00\u7cfb\u5217\u5b9e\u9645\u7ec3\u4e60\u7ed3\u675f\uff0c\u8fd9\u4e9b\u7ec3\u4e60\u96c6\u4e2d\u5728\u4f7f\u7528\u6b63\u6001\u5206\u5e03\u8868\u548c\u6807\u51c6\u6b63\u6001\u5206\u5e03\u6982\u5ff5\u8fdb\u884c\u6982\u7387\u548c\u4f30\u8ba1\u7684\u8ba1\u7b97\u3002 \u5b66\u4e60\u76ee\u6807\uff1a \u5728\u672c\u8bfe\u7ed3\u675f\u65f6\uff0c\u5b66\u751f\u5c06\u80fd\u591f\uff1a \u6f14\u793a\u6807\u51c6\u6b63\u6001\u5206\u5e03\u4e0e\u53c2\u6570\u4e3a \u548c \u7684\u6b63\u6001\u5206\u5e03\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u901a\u8fc7\u79ef\u5206\u66ff\u4ee3\u3002 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\u867d\u7136\u8fd9\u79cd\u6807\u51c6\u5316\u8fc7\u7a0b\u7b80\u5316\u4e86\u79ef\u5206\uff0c\u4f46\u4ecd\u4e0d\u8db3\u4ee5\u4f7f\u6211\u4eec\u80fd\u591f\u8ba1\u7b97\u8be5\u5206\u5e03\u7684\u4efb\u4f55\u6982\u7387\u3002\u4e8b\u5b9e\u4e0a\uff0c\u6211\u4eec\u65e0\u6cd5\u89e3\u6790\u8ba1\u7b97\u8fd9\u4e2a\u79ef\u5206\u7684\u7ed3\u679c\uff0c\u56e0\u4e3a\u6ca1\u6709\u4ee3\u6570\u8868\u8fbe\u5f0f\u53ef\u4ee5\u8868\u793a\u8fd9\u4e9b\u79ef\u5206\u7684\u7ed3\u679c\uff0c\u8fd9\u4f7f\u6211\u4eec\u9677\u5165\u56f0\u5883\u3002\u7136\u800c\uff0c\u5982\u679c\u6211\u4eec\u6709\u4e00\u4e9b\u6807\u51c6\u6b63\u6001\u5206\u5e03\u51fd\u6570\u503c\u7684\u6570\u503c\u8fd1\u4f3c\uff0c\u6211\u4eec\u53ef\u4ee5\u5f00\u59cb\u8fdb\u884c\u4e00\u4e9b\u4f30\u8ba1\u3002\u8fd9\u4e9b\u503c\u603b\u7ed3\u5728\u6211\u4e3a\u4f60\u5728 Excel \u4e2d\u6784\u5efa\u7684\u6807\u51c6\u6b63\u6001\u5206\u5e03\u8868\u4e2d &gt;:D \u4f60\u53ef\u4ee5\u5728\u4ee5\u4e0b\u94fe\u63a5\u4e0b\u8f7d\u6b64\u8868\u7684 Excel \u683c\u5f0f\u3002\u6211\u5efa\u8bae\u67e5\u770b\u8be5\u6587\u4ef6\uff0c\u56e0\u4e3a\u8fd9\u6837\u4f60\u53ef\u4ee5\u5b66\u4e60\u5982\u4f55\u5728\u627e\u4e0d\u5230\u8868\u65f6\u6784\u5efa\u81ea\u5df1\u7684\u8868 \ud83d\ude42 \u5982\u4f55\u4f7f\u7528\u6b64\u8868\u683c\uff1f \u8981\u8f7b\u677e\u4f7f\u7528\u6b64\u8868\u683c\uff0c\u4f60\u5fc5\u987b\u8bb0\u4f4f\uff0c\u9664\u4e86\u8868\u793a\u7d2f\u79ef\u6982\u7387\u5916\uff0c\u5b83\u8fd8\u8868\u793a\u66f2\u7ebf\u4e0b\u7684\u9762\u79ef\uff08\u5bc6\u5ea6\u51fd\u6570\uff09\u3002\u8fd9\u53ef\u4ee5\u5728\u4e0b\u56fe\u4e2d\u770b\u5230\uff1a \u7406\u89e3\u8fd9\u4e00\u70b9\u540e\uff0c\u4e0b\u4e00\u6b65\u662f\u89e3\u91ca\u8868\u683c\u7684\u5b9e\u9645\u4f7f\u7528\u65b9\u6cd5\u3002\u6211\u4eec\u5728\u8fd9\u91cc\u770b\u5230\u7684\u662f\uff0c\u6211\u4eec\u8981\u8bc4\u4f30\u51fd\u6570 \u7684\u503c \u5206\u6210\u4e24\u90e8\u5206\uff1a\u5728\u5217\u4e2d\uff0c\u4f60\u4f1a\u627e\u5230\u5176\u6269\u5c55\u5230\u7b2c\u4e00\u4e2a\u5c0f\u6570\u4f4d\uff0c\u5728\u884c\u4e2d\uff0c\u4f60\u4f1a\u627e\u5230\u7b2c\u4e8c\u4e2a\u5c0f\u6570\u4f4d\uff1b\u56e0\u6b64\uff0c\u4f8b\u5982\uff1a\u6570\u5b57 \u53ef\u4ee5\u627e\u5230\u7c7b\u4f3c\u4e8e\u201c\u5750\u6807\u201d\u7684\u5f62\u5f0f\uff1a\u5782\u76f4\u662f \u6c34\u5e73\u662f \u6700\u540e\uff0c \u7684\u6570\u503c\u8fd1\u4f3c\u5c06\u5728\u201c1,7\u201d\u548c\u201c0,02\u201d\u7684\u5750\u6807\u5757\u4e2d\u663e\u793a\uff0c\u663e\u793a\u503c\u4e3a \u7ec3\u4e60 \u4f30\u8ba1 \u7684\u503c \u4f30\u8ba1 \u7684\u503c \u968f\u673a\u53d8\u91cf \u5177\u6709\u6b63\u6001\u5206\u5e03 \u8ba1\u7b97 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":26821,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":11,"footnotes":""},"categories":[575,674],"tags":[],"class_list":["post-26828","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-575","category-674"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u5982\u4f55\u4f7f\u7528\u8868\u683c\u8ba1\u7b97\u6b63\u6001\u5206\u5e03\uff1f - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"\u5b66\u4e60\u4f7f\u7528\u6807\u51c6\u5316\u7684\u6b63\u6001\u5206\u5e03\u8868\u6765\u8ba1\u7b97\u6982\u7387\u548c\u89e3\u51b3\u5b9e\u9645\u95ee\u9898\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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