{"id":29587,"date":"2025-01-04T12:00:45","date_gmt":"2025-01-04T12:00:45","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=29587"},"modified":"2025-01-05T23:54:28","modified_gmt":"2025-01-05T23:54:28","slug":"%e7%ae%80%e5%8d%95%e5%b8%82%e5%9c%ba%e6%a8%a1%e5%9e%8b%ef%bc%9a%e5%9f%ba%e6%9c%ac%e6%a6%82%e5%bf%b5%e5%92%8c%e5%81%87%e8%ae%be","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/zh\/%e7%ae%80%e5%8d%95%e5%b8%82%e5%9c%ba%e6%a8%a1%e5%9e%8b%ef%bc%9a%e5%9f%ba%e6%9c%ac%e6%a6%82%e5%bf%b5%e5%92%8c%e5%81%87%e8%ae%be\/","title":{"rendered":"\u7b80\u5355\u5e02\u573a\u6a21\u578b\uff1a\u57fa\u672c\u6982\u5ff5\u548c\u5047\u8bbe"},"content":{"rendered":"<style>\np {\n    text-align: justify;\n}\n<\/style>\n<p><center><\/p>\n<h1><strong>\u7b80\u5355\u5e02\u573a\u6a21\u578b\uff1a<\/strong><br \/>\u57fa\u672c\u6982\u5ff5\u548c\u5047\u8bbe<\/h1>\n<p><\/center><\/p>\n<p style=\"text-align:center;\"><em><strong>\u6458\u8981\uff1a<\/strong>\u672c\u8bfe\u7a0b\u4ecb\u7ecd\u4e86\u201c\u7b80\u5355\u5e02\u573a\u6a21\u578b\u201d\uff0c\u8fd9\u662f\u4e00\u79cd\u5e2e\u52a9\u5b66\u4e60\u6295\u8d44\u5173\u952e\u6982\u5ff5\u7684\u65b9\u6cd5\uff0c\u5c06\u65e0\u98ce\u9669\u8d44\u4ea7\uff08\u503c\u5238\uff0c\u6536\u76ca\u53ef\u77e5\uff09\u548c\u6709\u98ce\u9669\u8d44\u4ea7\uff08\u80a1\u7968\uff0c\u6536\u76ca\u4e0d\u786e\u5b9a\uff09\u76f8\u7ed3\u5408\u3002\u6211\u4eec\u5c06\u770b\u5230\u8fd9\u4e9b\u8d44\u4ea7\u5982\u4f55\u5728\u4e00\u4e2a\u6295\u8d44\u7ec4\u5408\u4e2d\u76f8\u4e92\u7ed3\u5408\uff0c\u6b63\u786e\u7ba1\u7406\u7ec4\u5408\u4ee5\u83b7\u5f97\u9ad8\u4e8e\u94f6\u884c\u5229\u7387\u7684\u6536\u76ca\uff0c\u5e73\u8861\u589e\u957f\u548c\u5b89\u5168\u6027\u3002\u6b64\u5916\uff0c\u6211\u4eec\u5c06\u5b66\u4e60\u5982\u4f55\u5728\u7b80\u5316\u65f6\u95f4\u7ebf\u4e0a\uff08\u73b0\u5728\u548c\u672a\u6765\uff09\u8ba1\u7b97\u8fd9\u4e9b\u8d44\u4ea7\u7684\u6536\u76ca\uff0c\u5e76\u5206\u6790\u5e02\u573a\u5047\u8bbe\uff0c\u5982\u4ef7\u683c\u968f\u673a\u6027\u548c\u6c42\u5151\u80fd\u529b\uff0c\u4ee5\u4fbf\u505a\u51fa\u6709\u6838\u7684\u6295\u8d44\u548c\u98ce\u9669\u51b3\u7b56\u3002<\/em><\/p>\n<p style=\"text-align:center;\"><strong>\u5b66\u4e60\u76ee\u6807\uff1a<\/strong>\u5b66\u751f\u5728\u7ed3\u675f\u672c\u8bfe\u7a0b\u540e\uff0c\u5c06\u80fd<\/p>\n<ul>\n<li><strong>\u8bc6\u522b<\/strong>\u7b80\u5355\u5e02\u573a\u6a21\u578b\u4e2d\u6709\u98ce\u9669\u548c\u65e0\u98ce\u9669\u8d44\u4ea7\u7684\u7279\u5f81\uff0c\u5e76\u5728\u6295\u8d44\u51b3\u7b56\u4e2d\u8bc6\u522b\u5b83\u4eec\u7684\u5f71\u54cd\u3002<\/li>\n<li><strong>\u7406\u89e3<\/strong>\u6709\u98ce\u9669\u548c\u65e0\u98ce\u9669\u8d44\u4ea7\u4e4b\u95f4\u7684\u533a\u522b\uff0c\u8bc6\u522b\u6bcf\u79cd\u8d44\u4ea7\u5982\u4f55\u5f71\u54cd\u6295\u8d44\u7ec4\u5408\u7684\u6536\u76ca\u548c\u98ce\u9669\u3002<\/li>\n<li><strong>\u5e94\u7528<\/strong>\u516c\u5f0f\u8ba1\u7b97\u6709\u98ce\u9669\u548c\u65e0\u98ce\u9669\u8d44\u4ea7\u7684\u6295\u8d44\u6536\u76ca\uff0c\u4f7f\u7528\u8d77\u59cb\u548c\u7ed3\u675f\u65f6\u7684\u4ef7\u683c\u3002<\/li>\n<li><strong>\u5206\u6790<\/strong>\u7ec4\u5408\u6709\u98ce\u9669\u548c\u65e0\u98ce\u9669\u8d44\u4ea7\u7684\u6295\u8d44\u7ec4\u5408\uff0c\u4ee5\u4f18\u5316\u6536\u76ca\uff0c\u540c\u65f6\u7ba1\u7406\u7b80\u5355\u5e02\u573a\u6a21\u578b\u4e0b\u7684\u98ce\u9669\u3002<\/li>\n<li><strong>\u8bc4\u4ef7<\/strong>\u5e02\u573a\u60c5\u51b5\u5bf9\u7ec4\u5408\u4ef7\u503c\u548c\u6536\u76ca\u7684\u5f71\u54cd\uff0c\u8003\u8651\u8d44\u4ea7\u4ef7\u503c\u7684\u53d8\u5316\u3002<\/li>\n<li><strong>\u5e94\u7528<\/strong>\u6982\u7387\u6765\u8ba1\u7b97\u4e0d\u786e\u5b9a\u7684\u5e02\u573a\u60c5\u51b5\u4e0b\u7684\u671f\u671b\u6536\u76ca\uff0c\u786e\u5b9a\u53ef\u80fd\u7684\u91d1\u878d\u7ed3\u679c\u3002<\/li>\n<\/ul>\n<p style=\"text-align:center;\"><strong><u>\u5185\u5bb9\u76ee\u5f55<\/u><\/strong><br \/>\n<a href=\"#1\"><strong>\u5e02\u573a\u6a21\u578b\u6982\u8ff0<\/strong><\/a><br \/>\n<a href=\"#2\"><strong>\u7406\u8bba\u5b9e\u8bc1\u4e0e\u5047\u8bbe<\/strong><\/a><br \/>\n<a href=\"#3\">\u6709\u98ce\u9669\u548c\u65e0\u98ce\u9669\u7684\u8d44\u4ea7<\/a><br \/>\n<a href=\"#4\">\u65f6\u95f4\u89c4\u6a21\u4e0b\u7684\u6a21\u578b<\/a><br \/>\n<a href=\"#5\">\u6295\u8d44\u7684\u6536\u76ca<\/a><br \/>\n<a href=\"#6\">\u6295\u8d44\u7ec4\u5408\u7684\u6784\u5efa\u548c\u8bc4\u4ef7<\/a><br \/>\n<a href=\"#7\">\u6a21\u578b\u7684\u57fa\u672c\u5047\u8bbe<\/a><br \/>\n<a href=\"#8\"><strong>\u89e3\u51b3\u95ee\u9898<\/strong><\/a><br \/>\n<a href=\"#9\"><strong>\u63d0\u51fa\u7684\u7ec3\u4e60<\/strong><\/a>\n<\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/MK9owXS381U?si=7KmgnPbga5fihMVy\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/center><\/p>\n<p><a name=\"1\"><\/a><br \/>\n<center><\/p>\n<h2>\u5e02\u573a\u6a21\u578b\u6982\u8ff0<\/h2>\n<p><\/center><\/p>\n<p>\u8bf7\u60f3\u8c61\u4f60\u521a\u521a\u83b7\u5f97\u4e86\u4e00\u7b14\u5956\u91d1\uff0c\u5e76\u5c06\u8fd9\u4e2a\u8fc7\u7a0b\u4e2d\u7684\u4f59\u989d\u4fdd\u5b58\u5728\u94f6\u884c\u3002\u7136\u800c\uff0c\u8003\u8651\u5230\u5f53\u524d\u7684\u5229\u7387\u548c\u901a\u8d27\u81a8\u80c0\u7684\u5f71\u54cd\uff0c\u4f60\u5f00\u59cb\u62c5\u5fc3\u4fdd\u5b58\u7684\u8d44\u91d1\u4f1a\u4e3a\u8d2d\u4e70\u529b\u6e1b\u5c11\u800c\u8d31\u3002\u4f60\u5e0c\u671b\u8fd9\u4e9b\u8d44\u91d1\u4e0d\u4ec5\u4fdd\u6301\uff0c\u800c\u662f\u8fd8\u80fd\u589e\u503c\u3002<\/p>\n<p>\u4f60\u542c\u8bf4\u6295\u8d44\u80a1\u7968\u548c\u503a\u5238\u662f\u4e00\u79cd\u597d\u7684\u8d44\u4ea7\u589e\u503c\u65b9\u6cd5\u3002\u4f60\u77e5\u9053\uff0c\u6709\u4e00\u4e9b\u8d44\u4ea7\uff0c\u6bd4\u5982\u503a\u5238\uff0c\u662f\u5b89\u5168\u7684\uff0c\u800c\u53e6\u4e00\u4e9b\uff0c\u6bd4\u5982\u80a1\u7968\uff0c\u548c\u9ad8\u6536\u76ca\u76f8\u5173\uff0c\u4f46\u662f\u6709\u66f4\u5927\u7684\u98ce\u9669\u3002\u4f60\u60f3\u77e5\u9053\u662f\u5426\u53ef\u4ee5\u5c06\u8fd9\u4e24\u79cd\u8d44\u4ea7\u7ed3\u5408\u8d77\u6765\uff0c\u4ee5\u5b9e\u73b0\u8d85\u8fc7\u94f6\u884c\u5229\u7387\u7684\u6536\u76ca\uff0c\u4e14\u4e0d\u9700\u8981\u62c5\u5fc3\u592a\u5927\u7684\u98ce\u9669\u3002<\/p>\n<p>\u4f60\u51b3\u5b9a\u505a\u4e00\u4e9b\u8c03\u67e5\uff0c\u5e76\u53d1\u73b0\u4e86\u4e00\u79cd\u8d44\u4ea7\u7ecf\u8425\u65b9\u6cd5\uff0c\u53eb\u505a\u201c\u7b80\u5355\u5e02\u573a\u6a21\u578b\u201d\uff0c\u5e2e\u52a9\u521d\u5b66\u8005\u5b66\u4e60\u6709\u98ce\u9669\u548c\u65e0\u98ce\u9669\u8d44\u4ea7\uff0c\u6536\u76ca\u4ee5\u53ca\u6295\u8d44\u7ec4\u5408\u6784\u5efa\u7684\u57fa\u672c\u6982\u5ff5\u3002\u8fd9\u4e2a\u6a21\u578b\u9002\u5408\u521d\u5b66\u8005\uff0c\u56e0\u4e3a\u5b83\u7b80\u5316\u4e86\u91d1\u878d\u5206\u6790\uff0c\u53ea\u96c6\u4e2d\u4e8e\u4e24\u4e2a\u65f6\u95f4\u70b9\uff1a\u73b0\u5728\u548c\u672a\u6765\u7684\u67d0\u4e2a\u65f6\u523b\u3002<\/p>\n<p>\u6709\u4e86\u8fd9\u4e2a\u52a9\u529b\uff0c\u4f60\u51b3\u5b9a\u5b66\u4e60\u5982\u4f55\u8ba1\u7b97\u6295\u8d44\u6536\u76ca\uff0c\u5e76\u6784\u5efa\u4e00\u4e2a\u6295\u8d44\u7ec4\u5408\uff0c\u4ee5\u6700\u5927\u5316\u4f60\u7684\u6536\u76ca\u3002\u968f\u7740\u8bfe\u7a0b\u7684\u8fdb\u5c55\uff0c\u6211\u4eec\u5c06\u6df1\u5165\u63a2\u7d22\u8fd9\u4e9b\u6982\u5ff5\uff0c\u4f7f\u4f60\u80fd\u591f\u66f4\u597d\u5730\u505a\u51fa\u6295\u8d44\u51b3\u7b56\uff0c\u4ee5\u53ca\u7ba1\u7406\u4f60\u7684\u4e2a\u4eba\u8d44\u4ea7\u3002<\/p>\n<p>\u73b0\u5728\uff0c\u4f60\u51c6\u5907\u597d\u4e86\uff0c\u8ba9\u6211\u4eec\u6c89\u6dc0\u5728\u5e02\u573a\u6a21\u578b\u7684\u7406\u8bba\u77e5\u8bc6\u4e2d\uff0c\u4ee5\u4fbf\u4f60\u80fd\u591f\u5e94\u7528\u5230\u81ea\u5df1\u7684\u6295\u8d44\u51b3\u7b56\u4e2d\u3002<\/p>\n<p><center><a name=\"2\"><\/a><\/p>\n<h2>\u7406\u8bba\u5b9e\u8bc1\u4e0e\u5047\u8bbe<\/h2>\n<p><\/center><br \/>\n<a name=\"3\"><\/a><\/p>\n<h3>\u6709\u98ce\u9669\u548c\u65e0\u98ce\u9669\u7684\u8d44\u4ea7<\/h3>\n<p>\u8981\u5f00\u59cb\u7406\u89e3\u7b80\u5355\u5e02\u573a\u6a21\u578b\uff0c\u6211\u4eec\u9700\u8981\u5bf9\u6709\u98ce\u9669\u548c\u65e0\u98ce\u9669\u8d44\u4ea7\u7684\u6982\u5ff5\u8fdb\u884c\u719f\u6089\u3002\u8fd9\u4e24\u79cd\u8d44\u4ea7\u662f\u5927\u90e8\u5206\u6295\u8d44\u7b56\u7565\u7684\u57fa\u7840\u3002<\/p>\n<p>\u65e0\u98ce\u9669\u8d44\u4ea7\u662f\u4e00\u79cd\u6536\u76ca\u53ef\u77e5\u548c\u5b89\u5168\u7684\u6295\u8d44\u65b9\u5f0f\u3002\u5178\u578b\u7684\u65e0\u98ce\u9669\u8d44\u4ea7\u662f\u653f\u5e9c\u6216\u7a33\u5b9a\u91d1\u878d\u673a\u6784\u53d1\u884c\u7684\u503a\u5238\uff0c\u8fd9\u7c7b\u503a\u5238\u4fdd\u8bc1\u5728\u6307\u5b9a\u671f\u95f4\u5185\u8fd8\u6b63\u56fa\u5b9a\u5229\u606f\u3002\u8fd9\u4e9b\u503a\u5238\u53ef\u4ee5\u8ba4\u4e3a\u94f6\u884c\u5b58\u6b3e\u6216\u63a7\u8c03\u53ef\u9884\u6d4b\u6536\u76ca\u7684\u503a\u52a1\u5de5\u5177\u3002<\/p>\n<p>\u800c\u6709\u98ce\u9669\u8d44\u4ea7\u662f\u4e00\u79cd\u5176\u672a\u6765\u4ef7\u503c\u4e0d\u786e\u5b9a\uff0c\u53ef\u4e0a\u6da8\u6216\u4e0b\u8dcc\u7684\u8d44\u4ea7\u3002\u80a1\u7968\u662f\u6709\u98ce\u9669\u8d44\u4ea7\u7684\u4e00\u4e2a\u5178\u578b\u793a\u4f8b\uff0c\u80a1\u7968\u4ef7\u683c\u53ef\u80fd\u6709\u8f83\u5927\u6ce2\u52a8\uff0c\u53d7\u591a\u79cd\u56e0\u7d20\u5f71\u54cd\uff0c\u5b83\u7684\u672a\u6765\u4ef7\u503c\u5e26\u6709\u8f83\u5927\u7684\u4e0d\u786e\u5b9a\u6027\u3002<\/p>\n<p><a name=\"4\"><\/a><\/p>\n<h3>\u65f6\u95f4\u89c4\u6a21\u4e0b\u7684\u6a21\u578b<\/h3>\n<p>\u5728\u7b80\u5355\u5e02\u573a\u6a21\u578b\u4e2d\uff0c\u6211\u4eec\u5c06\u5206\u6790\u9650\u5236\u5728\u4e24\u4e2a\u65f6\u523b\uff1a\u73b0\u5728\uff0c\u5373 <span class=\"katex-eq\" data-katex-display=\"false\"> t = 0 <\/span>\uff0c\u548c\u672a\u6765\u4e00\u5e74\u540e\uff0c\u5373 <span class=\"katex-eq\" data-katex-display=\"false\"> t = 1 <\/span>\u3002\u8fd9\u79cd\u7b80\u5316\u7684\u65b9\u6cd5\u4fbf\u4e8e\u5206\u6790\u8d44\u4ea7\u4ef7\u503c\u7684\u53d8\u5316\uff0c\u800c\u4e0d\u9700\u6df1\u5165\u5904\u7406\u8f83\u590d\u6742\u7684\u65f6\u95f4\u7ebf\u3002<\/p>\n<p>\u8fd9\u79cd\u4ec5\u9650\u4e8e\u4e24\u4e2a\u65f6\u70b9\u7684\u6a21\u578b\u5f88\u9002\u5408\u521d\u5b66\u8005\uff0c\u4e3b\u8981\u662f\u5e2e\u52a9\u4e86\u89e3\u8d44\u4ea7\u4ef7\u503c\u7684\u65f6\u95f4\u53d8\u5316\u53ca\u5176\u5bf9\u6295\u8d44\u7ec4\u5408\u4ef7\u503c\u7684\u5f71\u54cd\u3002<\/p>\n<p><a name=\"5\"><\/a><\/p>\n<h3>\u6295\u8d44\u7684\u6536\u76ca<\/h3>\n<p>\u6295\u8d44\u6536\u76ca\u662f\u7528\u6765\u8868\u793a\u8d44\u4ea7\u5728\u4e00\u5b9a\u65f6\u671f\u5185\u6240\u83b7\u5f97\u7684\u589e\u503c\u6216\u635f\u5931\u7684\u5ea6\u91cf\u3002\u6839\u636e\u8d44\u4ea7\u7c7b\u578b\u7684\u4e0d\u540c\uff0c\u6536\u76ca\u7684\u8ba1\u7b97\u53ef\u80fd\u662f\u4e0d\u786e\u5b9a\u7684\u6216\u8005\u53ef\u77e5\u7684\u3002<\/p>\n<p>\u5bf9\u4e8e\u6709\u98ce\u9669\u8d44\u4ea7\uff0c\u6bd4\u5982\u80a1\u7968\uff0c\u6536\u76ca\u662f\u4e0d\u786e\u5b9a\u7684\uff0c\u53ef\u4ee5\u7528\u521d\u59cb\u4ef7\u548c\u672a\u6765\u4ef7\u6765\u8ba1\u7b97\u3002\u5982\u679c\u80a1\u7968\u5728\u65f6\u523b <span class=\"katex-eq\" data-katex-display=\"false\"> t <\/span>\u7684\u4ef7\u503c\u4ee3\u8868\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\"> S(t) <\/span>\uff0c\u90a3\u4e48\u8be5\u80a1\u7968\u5728 <span class=\"katex-eq\" data-katex-display=\"false\"> t = 0 <\/span> \u548c <span class=\"katex-eq\" data-katex-display=\"false\"> t = 1 <\/span> \u4e4b\u95f4\u7684\u6536\u76ca\u53ef\u8ba1\u7b97\u4e3a\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> K_S = \\dfrac{S(1) - S(0)}{S(0)} <\/span>\n<p>\u8fd9\u91cc\u7684\u6536\u76ca <span class=\"katex-eq\" data-katex-display=\"false\"> K_S <\/span>\uff0c\u662f\u8be5\u80a1\u7968\u521d\u59cb\u4ef7\u683c\u7684\u4e00\u4e2a\u5206\u6570\uff0c\u53ef\u4ee5\u4e3a\u6b63\u6570\uff08\u5982\u679c\u80a1\u7968\u4ef7\u683c\u4e0a\u6da8\uff09\uff0c\u8d1f\u6570\uff08\u5982\u679c\u80a1\u7968\u4ef7\u683c\u4e0b\u8dcc\uff09\u6216\u8005\u4e3a\u96f6\uff08\u5982\u679c\u80a1\u7968\u4ef7\u683c\u6ca1\u6709\u53d8\u5316\uff09\u3002<\/p>\n<p>\u5bf9\u4e8e\u65e0\u98ce\u9669\u8d44\u4ea7\uff0c\u6bd4\u5982\u503a\u5238\uff0c\u6536\u76ca\u662f\u4e00\u4e2a\u9884\u5148\u53ef\u77e5\u7684\u91cf\u3002\u5982\u679c\u4e00\u7b14\u503a\u5238\u5728 <span class=\"katex-eq\" data-katex-display=\"false\"> t <\/span> \u65f6\u95f4\u7684\u4ef7\u503c\u4ee3\u8868\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\"> A(t) <\/span>\uff0c\u90a3\u4e48\u8fd9\u7b14\u503a\u5238\u5728 <span class=\"katex-eq\" data-katex-display=\"false\"> t = 0 <\/span> \u548c <span class=\"katex-eq\" data-katex-display=\"false\"> t = 1 <\/span> \u4e4b\u95f4\u7684\u6536\u76ca\u53ef\u8ba1\u7b97\u4e3a\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> K_A = \\dfrac{A(1) - A(0)}{A(0)} <\/span>\n<p>\u8fd9\u91cc\u7684\u6536\u76ca <span class=\"katex-eq\" data-katex-display=\"false\"> K_A <\/span>\uff0c\u662f\u56fa\u5b9a\u7684\uff0c\u7531\u8be5\u503a\u5238\u7684\u53d1\u884c\u8005\u6240\u4fdd\u8bc1\u3002 <span class=\"katex-eq\" data-katex-display=\"false\"> K_S <\/span> \u548c <span class=\"katex-eq\" data-katex-display=\"false\"> K_A <\/span> \u7684\u6700\u5927\u533a\u522b\u5728\u4e8e\u786e\u5b9e\u6027\uff1a\u80a1\u7968\u7684\u6536\u76ca\u4e0d\u786e\u5b9a\uff0c\u800c\u503a\u5238\u7684\u6536\u76ca\u662f\u56fa\u5b9a\u548c\u53ef\u77e5\u7684\u3002<\/p>\n<p><a name=\"6\"><\/a><\/p>\n<h3>\u6295\u8d44\u7ec4\u5408\u7684\u6784\u5efa\u548c\u8bc4\u4ef7<\/h3>\n<p>\u73b0\u5728\u6211\u4eec\u5df2\u7ecf\u7406\u89e3\u4e86\u6536\u76ca\u7684\u6982\u5ff5\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u6709\u98ce\u9669\u548c\u65e0\u98ce\u9669\u8d44\u4ea7\u7ed3\u5408\u6765\u6784\u6210\u4e00\u4e2a<strong>\u6295\u8d44\u7ec4\u5408<\/strong>\u3002\u5047\u8bbe\u4f60\u51b3\u5b9a\u6784\u5efa\u4e00\u4e2a\u5305\u542b <span class=\"katex-eq\" data-katex-display=\"false\"> x <\/span> \u80a1\u7968\u548c <span class=\"katex-eq\" data-katex-display=\"false\"> y <\/span> \u503a\u5238\u7684\u6295\u8d44\u7ec4\u5408\uff0c\u90a3\u4e48\u8be5\u6295\u8d44\u7ec4\u5408\u5728\u4efb\u610f\u65f6\u523b <span class=\"katex-eq\" data-katex-display=\"false\"> t <\/span> \u7684\u603b\u4ef7\u503c\u4e3a\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> V(t) = xS(t) + yA(t) <\/span>\n<p>\u8fd9\u91cc\u7684 <span class=\"katex-eq\" data-katex-display=\"false\"> V(t) <\/span> \u4ee3\u8868\u6295\u8d44\u7ec4\u5408\u7684\u603b\u4ef7\u503c\uff0c\u4e3a\u80a1\u7968\u4ef7\u503c (<span class=\"katex-eq\" data-katex-display=\"false\"> xS(t) <\/span>) \u548c\u503a\u5238\u4ef7\u503c (<span class=\"katex-eq\" data-katex-display=\"false\"> yA(t) <\/span>) \u7684\u548c\u3002<\/p>\n<p>\u5728\u8d77\u59cb\u65f6\u523b (<span class=\"katex-eq\" data-katex-display=\"false\"> t = 0 <\/span>)\uff0c\u6295\u8d44\u7ec4\u5408\u7684\u4ef7\u503c\u662f\u53ef\u77e5\u7684\uff0c\u53ea\u8981\u6211\u4eec\u77e5\u9053\u80a1\u7968\u548c\u503a\u5238\u7684\u6570\u91cf\u53ca\u5b83\u4eec\u5f53\u524d\u7684\u4ef7\u683c\u3002\u7136\u800c\uff0c\u5728\u65f6\u523b <span class=\"katex-eq\" data-katex-display=\"false\"> t = 1 <\/span>\uff0c\u80a1\u7968\u4ef7\u503c\u53ef\u80fd\u53d8\u5316\uff0c\u4f7f\u5f97\u6295\u8d44\u7ec4\u5408\u7684\u4ef7\u503c\u4e0d\u786e\u5b9a\u3002<\/p>\n<p><a name=\"7\"><\/a><\/p>\n<h3>\u6a21\u578b\u7684\u57fa\u672c\u5047\u8bbe<\/h3>\n<p>\u4e3a\u4e86\u7b80\u5316\u6a21\u578b\uff0c\u6211\u4eec\u8bbe\u5b9a\u4e86\u4e00\u4e9b\u5173\u952e\u5047\u8bbe\uff0c\u4f7f\u8ba1\u7b97\u548c\u5206\u6790\u66f4\u4e3a\u7b80\u5355\uff1a<\/p>\n<ul>\n<li><strong>\u968f\u673a\u6027\u5047\u8bbe\uff1a<\/strong>\u80a1\u7968\u672a\u6765\u7684\u4ef7\u683c (<span class=\"katex-eq\" data-katex-display=\"false\"> S(1) <\/span>) \u662f\u4e00\u4e2a<em>\u968f\u673a\u53d8\u91cf<\/em>\uff0c\u8fd9\u610f\u5473\u7740\u5b83\u4f1a\u6839\u636e\u5e02\u573a\u4e2d\u4e0d\u53ef\u9884\u6d4b\u7684\u56e0\u7d20\u800c\u53d8\u5316\u3002<\/li>\n<li><strong>\u4ef7\u683c\u6b63\u6027\uff1a<\/strong>\u6240\u6709\u80a1\u7968\u548c\u503a\u5238\u7684\u4ef7\u683c\u4e25\u683c\u4e3a\u6b63\uff0c\u5373 <span class=\"katex-eq\" data-katex-display=\"false\"> S(t) &gt; 0 <\/span> \u548c <span class=\"katex-eq\" data-katex-display=\"false\"> A(t) &gt; 0 <\/span>\uff0c\u5bf9\u4e8e <span class=\"katex-eq\" data-katex-display=\"false\"> t = 0, 1 <\/span>\u3002\u8fd9\u4e00\u5047\u8bbe\u786e\u4fdd\u8d44\u4ea7\u4ef7\u503c\u662f\u73b0\u5b9e\u7684\u3002<\/li>\n<li><strong>\u53ef\u5206\u6027\u548c\u6d41\u52a8\u6027\uff1a<\/strong>\u8d44\u4ea7\u53ef\u4ee5\u4ee5\u5206\u6570\u5f62\u5f0f\u8d2d\u4e70\uff0c\u5141\u8bb8\u6295\u8d44\u8005\u7075\u6d3b\u8c03\u6574\u6295\u8d44\u7ec4\u5408\u3002\u6b64\u5916\uff0c\u5047\u8bbe\u8d44\u4ea7\u53ef\u4ee5\u4ee5\u4efb\u4f55\u6570\u91cf\u4e70\u5356\u3002<\/li>\n<li><strong>\u507f\u4ed8\u80fd\u529b\uff1a<\/strong>\u6295\u8d44\u8005\u7684\u603b\u8d22\u5bcc\u5728\u4efb\u4f55\u65f6\u5019\u5fc5\u987b\u4e3a\u975e\u8d1f\uff0c\u5373 <span class=\"katex-eq\" data-katex-display=\"false\"> V(t) \\geq 0 <\/span>\u3002\u8fd9\u610f\u5473\u7740\u4e0d\u80fd\u635f\u5931\u8d85\u8fc7\u6295\u8d44\u989d\u3002<\/li>\n<li><strong>\u79bb\u6563\u4ef7\u683c\uff1a<\/strong>\u80a1\u7968\u7684\u672a\u6765\u4ef7\u683c <span class=\"katex-eq\" data-katex-display=\"false\"> S(1) <\/span> \u662f\u4e00\u4e2a\u968f\u673a\u53d8\u91cf\uff0c\u4ec5\u80fd\u53d6\u6709\u9650\u7684\u53ef\u80fd\u503c\u3002\u8fd9\u7b80\u5316\u4e86\u5e02\u573a\u5206\u6790\u548c\u5efa\u6a21\u3002<\/li>\n<\/ul>\n<p>\u901a\u8fc7\u8fd9\u4e9b\u5047\u8bbe\uff0c\u6a21\u578b\u53d8\u5f97\u66f4\u6613\u4e8e\u5904\u7406\uff0c\u4ece\u800c\u53ef\u4ee5\u5728\u65e0\u9700\u589e\u52a0\u989d\u5916\u590d\u6742\u6027\u7684\u60c5\u51b5\u4e0b\u5206\u6790\u6536\u76ca\u548c\u6295\u8d44\u7ec4\u5408\u7684\u4ef7\u503c\u3002<\/p>\n<p>\u5230\u76ee\u524d\u4e3a\u6b62\uff0c\u6211\u4eec\u5df2\u7ecf\u4ecb\u7ecd\u4e86\u7406\u89e3\u7b80\u5355\u5e02\u573a\u6a21\u578b\u6240\u9700\u7684\u7406\u8bba\u57fa\u7840\u3002\u5728\u4e0b\u4e00\u90e8\u5206\u4e2d\uff0c\u6211\u4eec\u5c06\u8fd0\u7528\u8fd9\u4e9b\u77e5\u8bc6\uff0c\u901a\u8fc7\u5b9e\u9645\u7ec3\u4e60\u8ba1\u7b97\u4e0d\u540c\u60c5\u666f\u4e0b\u7684\u6295\u8d44\u7ec4\u5408\u4ef7\u503c\u548c\u6536\u76ca\u3002<\/p>\n<p><center><a name=\"8\"><\/a><\/p>\n<h2>\u5df2\u89e3\u51b3\u95ee\u9898<\/h2>\n<p><\/center><br \/>\n<center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/BdcylGfSgtA?si=QwVbLqRiAaULJ6v1\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/center><\/p>\n<h3>\u7ec3\u4e60 1: \u503a\u5238\u6536\u76ca\u8ba1\u7b97\uff08\u65e0\u98ce\u9669\u8d44\u4ea7\uff09<\/h3>\n<p>\u5047\u8bbe\u4f60\u6709\u4e00\u5f20\u503a\u5238\uff0c\u5176\u521d\u59cb\u4ef7\u683c\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\"> A(0) = 100 <\/span> \u7f8e\u5143\u3002\u4e00\u5e74\u540e\uff0c\u8be5\u503a\u5238\u7684\u4ef7\u503c\u589e\u957f\u5230 <span class=\"katex-eq\" data-katex-display=\"false\"> A(1) = 110 <\/span> \u7f8e\u5143\u3002<\/p>\n<p><strong>\u95ee\u9898\uff1a<\/strong> \u8fd9\u9879\u503a\u5238\u6295\u8d44\u7684\u6536\u76ca\u662f\u591a\u5c11\uff1f<\/p>\n<p><strong>\u89e3\u7b54\uff1a<\/strong> \u7531\u4e8e\u503a\u5238\u662f\u65e0\u98ce\u9669\u8d44\u4ea7\uff0c\u6536\u76ca\u662f\u786e\u5b9a\u7684\uff0c\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\u65e0\u98ce\u9669\u8d44\u4ea7\u7684\u6536\u76ca\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> K_A = \\dfrac{A(1) - A(0)}{A(0)} <\/span>\n<p>\u4ee3\u5165\u6570\u503c\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> K_A = \\dfrac{110 - 100}{100} = \\dfrac{10}{100} = 0.10 <\/span>\n<p>\u6536\u76ca\u4e3a 10%\u3002<\/p>\n<p>&#8212;<\/p>\n<h3>\u7ec3\u4e60 2: \u80a1\u7968\u6536\u76ca\u8ba1\u7b97\uff08\u98ce\u9669\u8d44\u4ea7\uff09<\/h3>\n<p>\u5047\u8bbe\u4f60\u4ee5 <span class=\"katex-eq\" data-katex-display=\"false\"> S(0) = 50 <\/span> \u7f8e\u5143\u7684\u4ef7\u683c\u8d2d\u4e70\u4e86\u4e00\u53ea\u80a1\u7968\u3002\u4e00\u5e74\u540e\uff0c\u80a1\u7968\u7684\u4ef7\u683c\u53ef\u80fd\u4f1a\u6709\u6240\u6ce2\u52a8\uff0c\u53ef\u80fd\u51fa\u73b0\u4e24\u79cd\u7ed3\u679c\uff1a<\/p>\n<ul>\n<li>\u5982\u679c\u5e02\u573a\u4e0a\u6da8\uff0c\u80a1\u7968\u4ef7\u683c\u5c06\u8fbe\u5230 <span class=\"katex-eq\" data-katex-display=\"false\"> S(1) = 52 <\/span> \u7f8e\u5143\uff0c\u6982\u7387\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\"> p <\/span>\u3002<\/li>\n<li>\u5982\u679c\u5e02\u573a\u4e0b\u8dcc\uff0c\u80a1\u7968\u4ef7\u683c\u5c06\u964d\u81f3 <span class=\"katex-eq\" data-katex-display=\"false\"> S(1) = 48 <\/span> \u7f8e\u5143\uff0c\u6982\u7387\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\"> 1 - p <\/span>\u3002<\/li>\n<\/ul>\n<p><strong>\u95ee\u9898\uff1a<\/strong> \u5728\u7b80\u5355\u5e02\u573a\u6a21\u578b\u4e2d\uff0c\u8fd9\u9879\u6295\u8d44\u5728\u6bcf\u79cd\u60c5\u666f\u4e0b\u7684\u6536\u76ca\u662f\u591a\u5c11\uff1f<\/p>\n<p><strong>\u89e3\u7b54\uff1a<\/strong> \u80a1\u7968\u4f5c\u4e3a\u4e00\u79cd\u98ce\u9669\u8d44\u4ea7\uff0c\u5176\u6536\u76ca\u662f\u4e0d\u786e\u5b9a\u7684\uff0c\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\u98ce\u9669\u8d44\u4ea7\u7684\u6536\u76ca\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> K_S = \\dfrac{S(1) - S(0)}{S(0)} <\/span>\n<p>\u6211\u4eec\u8ba1\u7b97\u6bcf\u79cd\u60c5\u666f\u4e0b\u7684\u6536\u76ca\uff1a<\/p>\n<ul>\n<li><strong>\u5982\u679c\u4ef7\u683c\u4e0a\u6da8\u81f3 52 \u7f8e\u5143\uff1a<\/strong><\/li>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> K_S = \\dfrac{52 - 50}{50} = \\dfrac{2}{50} = 0.04 <\/span>\n<p>\u6536\u76ca\u4e3a 4%\u3002<\/p>\n<li><strong>\u5982\u679c\u4ef7\u683c\u4e0b\u8dcc\u81f3 48 \u7f8e\u5143\uff1a<\/strong><\/li>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> K_S = \\dfrac{48 - 50}{50} = \\dfrac{-2}{50} = -0.04 <\/span>\n<p>\u6536\u76ca\u4e3a -4%\u3002<\/p>\n<\/ul>\n<p>\u56e0\u6b64\uff0c\u6839\u636e\u5e02\u573a\u7684\u8868\u73b0\uff0c\u6536\u76ca\u53ef\u80fd\u4e3a\u6b63\uff084%\uff09\u6216\u8d1f\uff08-4%\uff09\u3002<\/p>\n<p>&#8212;<\/p>\n<h3>\u7ec3\u4e60 3: \u542b\u6709\u98ce\u9669\u548c\u65e0\u98ce\u9669\u8d44\u4ea7\u7684\u6295\u8d44\u7ec4\u5408\u4ef7\u503c<\/h3>\n<p>\u5047\u8bbe\u4f60\u51b3\u5b9a\u6784\u5efa\u4e00\u4e2a\u5305\u542b 20 \u53ea\u80a1\u7968\u548c 10 \u5f20\u503a\u5238\u7684\u6295\u8d44\u7ec4\u5408\u3002\u5df2\u77e5\uff1a<\/p>\n<ul>\n<li>\u80a1\u7968\u7684\u521d\u59cb\u4ef7\u683c\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\"> S(0) = 50 <\/span> \u7f8e\u5143\u3002<\/li>\n<li>\u503a\u5238\u7684\u521d\u59cb\u4ef7\u683c\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\"> A(0) = 100 <\/span> \u7f8e\u5143\u3002<\/li>\n<\/ul>\n<p><strong>\u95ee\u9898\uff1a<\/strong> \u8fd9\u4e2a\u6295\u8d44\u7ec4\u5408\u5728\u521d\u59cb\u65f6\u523b <span class=\"katex-eq\" data-katex-display=\"false\"> t = 0 <\/span> \u7684\u603b\u4ef7\u503c\u662f\u591a\u5c11\uff1f<\/p>\n<p><strong>\u89e3\u7b54\uff1a<\/strong> \u6295\u8d44\u7ec4\u5408\u5728 <span class=\"katex-eq\" data-katex-display=\"false\"> t <\/span> \u65f6\u523b\u7684\u603b\u4ef7\u503c\u53ef\u6309\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> V(t) = xS(t) + yA(t) <\/span>\n<p>\u5176\u4e2d <span class=\"katex-eq\" data-katex-display=\"false\"> x <\/span> \u662f\u80a1\u7968\u6570\u91cf\uff0c<span class=\"katex-eq\" data-katex-display=\"false\"> y <\/span> \u662f\u503a\u5238\u6570\u91cf\u3002<\/p>\n<p>\u4ee3\u5165\u6570\u503c\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> V(0) = (20)(50) + (10)(100) <\/span>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> V(0) = 1000 + 1000 = 2000 <\/span>\n<p>\u8be5\u6295\u8d44\u7ec4\u5408\u5728\u521d\u59cb\u65f6\u523b <span class=\"katex-eq\" data-katex-display=\"false\"> t = 0 <\/span> \u7684\u603b\u4ef7\u503c\u4e3a 2000 \u7f8e\u5143\u3002<\/p>\n<p>&#8212;<\/p>\n<h3>\u7ec3\u4e60 4: \u8ba1\u7b97\u6df7\u5408\u6295\u8d44\u7ec4\u5408\u7684\u6536\u76ca<\/h3>\n<p>\u5047\u8bbe\u7b2c 3 \u9898\u4e2d\u7684\u6295\u8d44\u7ec4\u5408\u5728 <span class=\"katex-eq\" data-katex-display=\"false\"> t = 1 <\/span> \u65f6\u8d44\u4ea7\u4ef7\u683c\u53d1\u751f\u4ee5\u4e0b\u53d8\u5316\uff1a<\/p>\n<ul>\n<li>\u5982\u679c\u5e02\u573a\u4e0a\u6da8\uff0c\u80a1\u7968\u4ef7\u683c\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\"> S(1) = 52 <\/span> \u7f8e\u5143\uff0c\u503a\u5238\u4ef7\u683c\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\"> A(1) = 110 <\/span> \u7f8e\u5143\u3002<\/li>\n<li>\u5982\u679c\u5e02\u573a\u4e0b\u8dcc\uff0c\u80a1\u7968\u4ef7\u683c\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\"> S(1) = 48 <\/span> \u7f8e\u5143\uff0c\u503a\u5238\u4ef7\u683c\u4ecd\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\"> A(1) = 110 <\/span> \u7f8e\u5143\u3002<\/li>\n<\/ul>\n<p><strong>\u95ee\u9898\uff1a<\/strong> \u5728\u7b80\u5355\u5e02\u573a\u6a21\u578b\u4e2d\uff0c\u6bcf\u79cd\u60c5\u666f\u4e0b\u7684\u6295\u8d44\u7ec4\u5408\u4ef7\u503c\u548c\u6536\u76ca\u662f\u591a\u5c11\uff1f<\/p>\n<p><strong>\u89e3\u7b54\uff1a<\/strong><\/p>\n<p><strong>\u60c5\u666f 1\uff1a\u5e02\u573a\u4e0a\u6da8<\/strong><\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> V(1) = (20)(52) + (10)(110) <\/span>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> V(1) = 1040 + 1100 = 2140 <\/span>\n<p>\u8be5\u6295\u8d44\u7ec4\u5408\u7684\u4ef7\u503c\u4e3a 2140 \u7f8e\u5143\u3002<\/p>\n<p>\u6295\u8d44\u7ec4\u5408\u6536\u76ca\u4e3a\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> K_V = \\dfrac{V(1) - V(0)}{V(0)} = \\dfrac{2140 - 2000}{2000} = \\dfrac{140}{2000} = 0.07 <\/span>\n<p>\u6536\u76ca\u4e3a 7%\u3002<\/p>\n<p><strong>\u60c5\u666f 2\uff1a\u5e02\u573a\u4e0b\u8dcc<\/strong><\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> V(1) = (20)(48) + (10)(110) <\/span>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> V(1) = 960 + 1100 = 2060 <\/span>\n<p>\u8be5\u6295\u8d44\u7ec4\u5408\u7684\u4ef7\u503c\u4e3a 2060 \u7f8e\u5143\u3002<\/p>\n<p>\u6295\u8d44\u7ec4\u5408\u6536\u76ca\u4e3a\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> K_V = \\dfrac{V(1) - V(0)}{V(0)} = \\dfrac{2060 - 2000}{2000} = \\dfrac{60}{2000} = 0.03 <\/span>\n<p>\u6536\u76ca\u4e3a 3%\u3002<\/p>\n<p>\u7efc\u4e0a\uff0c\u6295\u8d44\u7ec4\u5408\u7684\u6536\u76ca\u53d6\u51b3\u4e8e\u5e02\u573a\u8868\u73b0\u3002\u5982\u679c\u5e02\u573a\u4e0a\u6da8\uff0c\u6536\u76ca\u4e3a 7%\uff1b\u5982\u679c\u5e02\u573a\u4e0b\u8dcc\uff0c\u6536\u76ca\u4e3a 3%\u3002<\/p>\n<p>&#8212;<\/p>\n<h3>\u7ec3\u4e60 5: \u8ba1\u7b97\u6df7\u5408\u6295\u8d44\u7ec4\u5408\u7684\u52a0\u6743\u6536\u76ca<\/h3>\n<p>\u5047\u8bbe\u4f60\u51b3\u5b9a\u6784\u5efa\u4e00\u4e2a\u6df7\u5408\u6295\u8d44\u7ec4\u5408\uff0c\u5176\u521d\u59cb\u5206\u914d\u5982\u4e0b\uff1a<\/p>\n<ul>\n<li>50% \u7684\u8d44\u91d1\u6295\u8d44\u4e8e\u65e0\u98ce\u9669\u503a\u5238\uff0c\u521d\u59cb\u4ef7\u683c\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\"> A(0) = 100 <\/span>\uff0c\u5e74\u672b\u4ef7\u683c\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\"> A(1) = 105 <\/span>\u3002<\/li>\n<li>50% \u7684\u8d44\u91d1\u6295\u8d44\u4e8e\u98ce\u9669\u80a1\u7968\uff0c\u521d\u59cb\u4ef7\u683c\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\"> S(0) = 50 <\/span>\u3002\u5728 <span class=\"katex-eq\" data-katex-display=\"false\"> t = 1 <\/span> \u65f6\uff0c\u80a1\u7968\u4ef7\u683c\u53ef\u80fd\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\"> S(1) = 55 <\/span>\uff08\u5e02\u573a\u4e0a\u6da8\u7684\u6982\u7387\u4e3a 0.7\uff09\u6216 <span class=\"katex-eq\" data-katex-display=\"false\"> S(1) = 45 <\/span>\uff08\u5e02\u573a\u4e0b\u8dcc\u7684\u6982\u7387\u4e3a 0.3\uff09\u3002<\/li>\n<\/ul>\n<p><strong>\u95ee\u9898\uff1a<\/strong> \u8003\u8651\u5e02\u573a\u4e0a\u6da8\u6216\u4e0b\u8dcc\u7684\u6982\u7387\uff0c\u8ba1\u7b97\u8be5\u6295\u8d44\u7ec4\u5408\u7684\u603b\u671f\u671b\u6536\u76ca\u3002<\/p>\n<p><strong>\u89e3\u7b54\uff1a<\/strong><\/p>\n<p>1. \u9996\u5148\u8ba1\u7b97\u6bcf\u79cd\u8d44\u4ea7\u7684\u6536\u76ca\uff1a<\/p>\n<ul>\n<li>\u65e0\u98ce\u9669\u503a\u5238\u7684\u6536\u76ca\uff1a<\/li>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> K_A = \\dfrac{A(1) - A(0)}{A(0)} = \\dfrac{105 - 100}{100} = 0.05 <\/span>\uff085%\uff09<\/p>\n<li>\u98ce\u9669\u80a1\u7968\u7684\u6536\u76ca\uff1a<\/li>\n<ul>\n<li>\u5982\u679c\u5e02\u573a\u4e0a\u6da8\uff1a<\/li>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> K_S^{\\text{up}} = \\dfrac{55 - 50}{50} = 0.10 <\/span>\uff0810%\uff09<\/p>\n<li>\u5982\u679c\u5e02\u573a\u4e0b\u8dcc\uff1a<\/li>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> K_S^{\\text{down}} = \\dfrac{45 - 50}{50} = -0.10 <\/span>\uff08-10%\uff09<\/p>\n<\/ul>\n<\/ul>\n<p>2. \u8ba1\u7b97\u80a1\u7968\u7684\u671f\u671b\u6536\u76ca\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\text{\u80a1\u7968\u7684\u671f\u671b\u6536\u76ca} = (0.7 \\times 0.10) + (0.3 \\times -0.10) = 0.04 <\/span>\uff084%\uff09<\/p>\n<p>3. \u8ba1\u7b97\u6295\u8d44\u7ec4\u5408\u7684\u52a0\u6743\u6536\u76ca\uff0c\u5047\u8bbe 50% \u6295\u8d44\u4e8e\u503a\u5238\uff0c50% \u6295\u8d44\u4e8e\u80a1\u7968\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> K_{\\text{\u6295\u8d44\u7ec4\u5408}} = (0.5 \\times 0.05) + (0.5 \\times 0.04) = 0.045 <\/span>\uff084.5%\uff09<\/p>\n<p><strong>\u7b54\u6848\uff1a<\/strong> \u6295\u8d44\u7ec4\u5408\u7684\u603b\u671f\u671b\u6536\u76ca\u4e3a 4.5%\u3002<\/p>\n<p>&#8212;<\/p>\n<h3>\u7ec3\u4e60 6: \u4f7f\u7528\u7a7a\u5934\u5356\u51fa\u7b56\u7565\u8ba1\u7b97\u98ce\u9669\u548c\u6536\u76ca<\/h3>\n<p>\u5047\u8bbe\u4f60\u91c7\u7528\u4ee5\u4e0b\u7b56\u7565\uff1a\u6295\u8d44 2000 \u7f8e\u5143\u8d2d\u4e70\u65e0\u98ce\u9669\u503a\u5238\uff0c\u8be5\u503a\u5238\u7684\u5e74\u6536\u76ca\u7387\u4e3a 3%\u3002\u6b64\u5916\uff0c\u4f60\u501f\u4e86 1000 \u7f8e\u5143\u4ee5\u505a\u7a7a\u80a1\u7968\uff0c\u5e0c\u671b\u5176\u4ef7\u683c\u4e0b\u8dcc\u4ee5\u83b7\u5229\u3002\u76ee\u524d\uff0c\u80a1\u7968\u7684\u4ef7\u683c\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\"> S(0) = 50 <\/span> \u7f8e\u5143\/\u80a1\uff0c\u5e74\u672b\u53ef\u80fd\u51fa\u73b0\u4ee5\u4e0b\u4e24\u79cd\u60c5\u51b5\uff1a<\/p>\n<ul>\n<li>\u5982\u679c\u5e02\u573a\u4e0b\u8dcc\uff0c\u80a1\u7968\u4ef7\u683c\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\"> S(1) = 40 <\/span> \u7f8e\u5143\uff0c\u6982\u7387\u4e3a 0.6\u3002<\/li>\n<li>\u5982\u679c\u5e02\u573a\u4e0a\u6da8\uff0c\u80a1\u7968\u4ef7\u683c\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\"> S(1) = 60 <\/span> \u7f8e\u5143\uff0c\u6982\u7387\u4e3a 0.4\u3002<\/li>\n<\/ul>\n<p><strong>\u95ee\u9898\uff1a<\/strong> \u8ba1\u7b97\u6295\u8d44\u7ec4\u5408\u7684\u671f\u671b\u6536\u76ca\u4ee5\u53ca\u7a7a\u5934\u5356\u51fa\u7684\u98ce\u9669\uff08\u7528\u6536\u76ca\u7684\u6807\u51c6\u5dee\u8861\u91cf\uff09\u3002<\/p>\n<p><strong>\u89e3\u7b54\uff1a<\/strong><\/p>\n<h4>\u671f\u671b\u6536\u76ca\u7684\u8ba1\u7b97<\/h4>\n<p>\u9996\u5148\uff0c\u8ba1\u7b97\u65e0\u98ce\u9669\u503a\u5238\u7684\u6536\u76ca\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> K_A = 0.03 <\/span>\uff083%\uff09<\/p>\n<p>\u5bf9\u4e8e\u7a7a\u5934\u5356\u51fa\uff0c\u8ba1\u7b97\u6bcf\u79cd\u60c5\u666f\u4e0b\u7684\u6536\u76ca\uff1a<\/p>\n<ul>\n<li><strong>\u5982\u679c\u5e02\u573a\u4e0b\u8dcc\uff1a<\/strong><\/li>\n<p>\u7a7a\u5934\u5356\u51fa\u4ef7\u683c\u4e3a 50 \u7f8e\u5143\/\u80a1\uff0c\u5e74\u672b\u4ef7\u683c\u4e3a 40 \u7f8e\u5143\/\u80a1\u3002\u6bcf\u80a1\u6536\u76ca\u4e3a\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> 50 - 40 = 10 <\/span> \u7f8e\u5143<\/p>\n<p>\u5982\u679c\u505a\u7a7a\u4e86 <span class=\"katex-eq\" data-katex-display=\"false\"> \\dfrac{1000}{50} = 20 <\/span> \u80a1\uff0c\u603b\u6536\u76ca\u4e3a\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> 20 \\times 10 = 200 <\/span> \u7f8e\u5143<\/p>\n<li><strong>\u5982\u679c\u5e02\u573a\u4e0a\u6da8\uff1a<\/strong><\/li>\n<p>\u7a7a\u5934\u5356\u51fa\u4ef7\u683c\u4e3a 50 \u7f8e\u5143\/\u80a1\uff0c\u5e74\u672b\u4ef7\u683c\u4e3a 60 \u7f8e\u5143\/\u80a1\u3002\u6bcf\u80a1\u635f\u5931\u4e3a\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> 50 - 60 = -10 <\/span> \u7f8e\u5143<\/p>\n<p>\u603b\u635f\u5931\u4e3a\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> 20 \\times -10 = -200 <\/span> \u7f8e\u5143<\/p>\n<\/ul>\n<p>\u8ba1\u7b97\u7a7a\u5934\u5356\u51fa\u7684\u671f\u671b\u6536\u76ca\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\text{\u7a7a\u5934\u671f\u671b\u6536\u76ca} = (0.6 \\times 200) + (0.4 \\times -200) = 120 - 80 = 40 <\/span> \u7f8e\u5143<\/p>\n<h4>\u98ce\u9669\uff08\u6807\u51c6\u5dee\uff09\u7684\u8ba1\u7b97<\/h4>\n<p>\u8ba1\u7b97\u6536\u76ca\u7684\u65b9\u5dee\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\text{\u65b9\u5dee} = (0.6) \\times (200 - 40)^2 + (0.4) \\times (-200 - 40)^2 = 38400 <\/span>\n<p>\u8ba1\u7b97\u6807\u51c6\u5dee\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\text{\u6807\u51c6\u5dee} = \\sqrt{38400} \\approx 196 <\/span>\n<h4>\u89e3\u91ca\u548c\u98ce\u9669\u8bc4\u4f30<\/h4>\n<p>\u6807\u51c6\u5dee\u53cd\u6620\u4e86\u6536\u76ca\u7684\u6ce2\u52a8\u7a0b\u5ea6\u3002\u5728\u8fd9\u79cd\u7b56\u7565\u4e2d\uff0c\u7a7a\u5934\u5356\u51fa\u5b58\u5728\u663e\u8457\u7684\u4e0b\u884c\u98ce\u9669\uff0c\u5c24\u5176\u662f\u5728\u80a1\u7968\u4ef7\u683c\u4e0a\u6da8\u65f6\uff0c\u53ef\u80fd\u5bfc\u81f4\u5de8\u5927\u7684\u6f5c\u5728\u635f\u5931\u3002<\/p>\n<p>&#8212;<\/p>\n<h3>\u7ec3\u4e60 7: \u8ba1\u7b97\u591a\u6837\u5316\u6295\u8d44\u7ec4\u5408\u7684\u52a0\u6743\u6536\u76ca\u548c\u6807\u51c6\u5dee<\/h3>\n<p>\u5047\u8bbe\u4f60\u5c06 3000 \u7f8e\u5143\u6295\u8d44\u4e8e\u4e00\u4e2a\u7531\u503a\u5238\u548c\u80a1\u7968\u7ec4\u6210\u7684\u7ec4\u5408\u3002\u6295\u8d44\u5206\u914d\u5982\u4e0b\uff1a<\/p>\n<ul>\n<li>50% \u7684\u8d44\u91d1\u7528\u4e8e\u8d2d\u4e70\u503a\u5238\uff08\u521d\u59cb\u4ef7\u683c <span class=\"katex-eq\" data-katex-display=\"false\"> A(0) = 150 <\/span> \u7f8e\u5143\uff0c\u56fa\u5b9a\u6536\u76ca\u7387\u4e3a 4%\uff09\u3002<\/li>\n<li>50% \u7684\u8d44\u91d1\u7528\u4e8e\u8d2d\u4e70\u80a1\u7968\uff08\u521d\u59cb\u4ef7\u683c <span class=\"katex-eq\" data-katex-display=\"false\"> S(0) = 75 <\/span> \u7f8e\u5143\uff09\u3002\u80a1\u7968\u4ef7\u683c\u5728 <span class=\"katex-eq\" data-katex-display=\"false\"> t = 1 <\/span> \u65f6\u53ef\u80fd\u4e3a 90 \u7f8e\u5143\uff08\u6982\u7387 0.5\uff09\u6216 60 \u7f8e\u5143\uff08\u6982\u7387 0.5\uff09\u3002<\/li>\n<\/ul>\n<p><strong>\u95ee\u9898\uff1a<\/strong> \u8ba1\u7b97\u6295\u8d44\u7ec4\u5408\u7684\u671f\u671b\u6536\u76ca\u548c\u6807\u51c6\u5dee\u3002<\/p>\n<p><strong>\u89e3\u7b54\uff1a<\/strong> \u7565\uff08\u65b9\u6cd5\u7c7b\u4f3c\u4e8e\u524d\u8ff0\u7ec3\u4e60\uff0c\u53ef\u81ea\u884c\u5ef6\u5c55\uff09\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7b80\u5355\u5e02\u573a\u6a21\u578b\uff1a\u57fa\u672c\u6982\u5ff5\u548c\u5047\u8bbe \u6458\u8981\uff1a\u672c\u8bfe\u7a0b\u4ecb\u7ecd\u4e86\u201c\u7b80\u5355\u5e02\u573a\u6a21\u578b\u201d\uff0c\u8fd9\u662f\u4e00\u79cd\u5e2e\u52a9\u5b66\u4e60\u6295\u8d44\u5173\u952e\u6982\u5ff5\u7684\u65b9\u6cd5\uff0c\u5c06\u65e0\u98ce\u9669\u8d44\u4ea7\uff08\u503c\u5238\uff0c\u6536\u76ca\u53ef\u77e5\uff09\u548c\u6709\u98ce\u9669\u8d44\u4ea7\uff08\u80a1\u7968\uff0c\u6536\u76ca\u4e0d\u786e\u5b9a\uff09\u76f8\u7ed3\u5408\u3002\u6211\u4eec\u5c06\u770b\u5230\u8fd9\u4e9b\u8d44\u4ea7\u5982\u4f55\u5728\u4e00\u4e2a\u6295\u8d44\u7ec4\u5408\u4e2d\u76f8\u4e92\u7ed3\u5408\uff0c\u6b63\u786e\u7ba1\u7406\u7ec4\u5408\u4ee5\u83b7\u5f97\u9ad8\u4e8e\u94f6\u884c\u5229\u7387\u7684\u6536\u76ca\uff0c\u5e73\u8861\u589e\u957f\u548c\u5b89\u5168\u6027\u3002\u6b64\u5916\uff0c\u6211\u4eec\u5c06\u5b66\u4e60\u5982\u4f55\u5728\u7b80\u5316\u65f6\u95f4\u7ebf\u4e0a\uff08\u73b0\u5728\u548c\u672a\u6765\uff09\u8ba1\u7b97\u8fd9\u4e9b\u8d44\u4ea7\u7684\u6536\u76ca\uff0c\u5e76\u5206\u6790\u5e02\u573a\u5047\u8bbe\uff0c\u5982\u4ef7\u683c\u968f\u673a\u6027\u548c\u6c42\u5151\u80fd\u529b\uff0c\u4ee5\u4fbf\u505a\u51fa\u6709\u6838\u7684\u6295\u8d44\u548c\u98ce\u9669\u51b3\u7b56\u3002 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