{"id":160,"date":"2026-08-15T13:44:56","date_gmt":"2026-08-15T05:44:56","guid":{"rendered":"http:\/\/192.168.1.219:5488\/?p=160"},"modified":"2026-08-15T13:44:58","modified_gmt":"2026-08-15T05:44:58","slug":"%e6%b6%88%e8%b4%b9%e8%80%85%e9%80%89%e6%8b%a9%e6%95%88%e7%94%a8%e7%90%86%e8%ae%ba%e6%a6%82%e8%bf%b0","status":"publish","type":"post","link":"https:\/\/note.kazamata.uk\/index.php\/2026\/08\/15\/%e6%b6%88%e8%b4%b9%e8%80%85%e9%80%89%e6%8b%a9%e6%95%88%e7%94%a8%e7%90%86%e8%ae%ba%e6%a6%82%e8%bf%b0\/","title":{"rendered":"\u6d88\u8d39\u8005\u9009\u62e9\u6548\u7528\u7406\u8bba\u6982\u8ff0"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\"><a>\u6b32\u671b\uff1a<\/a><\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u6b32\u671b\u5177\u6709\u65e0\u9650\u6027\uff0c\u4e00\u4e2a\u6b32\u671b\u7684\u6ee1\u8db3\uff0c\u4f1a\u968f\u4e4b\u4ea7\u751f\u66f4\u591a\u7684\u6b32\u671b\u3002<\/li>\n\n\n\n<li>\u6b32\u671b\u5177\u6709\u6709\u9650\u6027\uff0c\u5bf9\u540c\u4e00\u79cd\u5546\u54c1\u7684\u6b32\u671b\u662f\u6709\u9650\u7684\u3002<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">\u6548\u7528\uff1a\u6d88\u8d39\u8005\u901a\u8fc7\u6d88\u8d39\u5546\u54c1\u6216\u670d\u52a1\u7684\u65b9\u5f0f\u6765\u83b7\u5f97\u6ee1\u8db3\u7684\u7a0b\u5ea6<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d\u6548\u7528\u53d6\u51b3\u4e8e\u6d88\u8d39\u8005\u7684\u4e3b\u89c2\u8bc4\u4ef7\u548c\u6d88\u8d39\u8005\u7684\u6b32\u671b\u7a0b\u5ea6<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><a>\u5e8f\u6570\u6548\u7528\/\u57fa\u6570\u6548\u7528<\/a><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u57fa\u6570\u6548\u7528\u76f8\u5f53\u4e8e\u8ba9\u6d88\u8d39\u8005\u7ed9\u5546\u54c1\u6253\u5206\uff0c\u5206\u6570\u7684\u5927\u5c0f\u53d6\u51b3\u4e8e\u5546\u54c1\u6216\u8005\u670d\u52a1\u5e26\u7ed9\u6d88\u8d39\u8005\u6548\u7528\u6ee1\u8db3\u7a0b\u5ea6\uff0c\u59821\uff0c2\uff0c3\uff0c4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5e8f\u6570\u6548\u7528\uff1a\u76f8\u5f53\u4e8e\u8ba9\u6d88\u8d39\u8005\u5bf9\u4e0d\u540c\u7684\u670d\u52a1\/\u5546\u54c1\u7ec4\u5408\u6309\u6548\u7528\u6216\u8005\u670d\u52a1\u5e26\u7ed9\u6d88\u8d39\u8005\u6548\u7528\u7684\u6ee1\u8db3\u7a0b\u5ea6\u8fdb\u884c\u9ad8\u4f4e\u6392\u5e8f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u57fa\u6570\u6548\u7528\u5b58\u5728\u7f3a\u9677\uff0c\u4e0d\u540c\u6d88\u8d39\u8005\u7684\u6ee1\u5206\u503c\u4e0d\u540c\uff0c\u6709\u4e9b\u4eba5\u5206\u6ee1\u5206\uff0c\u6709\u4e9b\u4eba10\u5206\u751a\u81f3100\u5206\uff0c\u53ef\u89c1\u4e0d\u540c\u7684\u5206\u503c\u4f1a\u9020\u6210\u6b67\u4e49\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><a>\u603b\u6548\u7528\uff08TU\/total utility\uff09<\/a><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u67d0\u4e00\u65f6\u6bb5\u5185\u6d88\u8d39\u7684\u6bcf\u4e00\u5355\u4f4d\u5546\u54c1\u6216\u670d\u52a1\u7684\u6d88\u8d39\u4e2d\u83b7\u5f97\u7684\u6548\u7528\u52a0\u603b<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><a>\u8fb9\u9645\u6548\u7528\uff08MU\/marginal utility\uff09<\/a><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u4e00\u6bb5\u65f6\u95f4\u5185\u6d88\u8d39\u8005\u4ece\u589e\u52a0\u4e00\u4e2a\u5546\u54c1\u6216\u8005\u670d\u52a1\u7684\u6d88\u8d39\u4e2d\u83b7\u5f97\u7684\u6548\u7528\u7684\u589e\u52a0\u91cf<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d\u8fb9\u9645\u6548\u7528\u548c\u603b\u6548\u7528\u7684\u5173\u7cfb\u5f0f\u4e3a<\/p>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><semantics><mrow><mrow style=\"font-weight:bold;\"><mi>\ud835\udc74<\/mi><mi>\ud835\udc7c<\/mi><\/mrow><mo>=<\/mo><mrow style=\"font-weight:bold;\"><mi>\ud835\udc7b<\/mi><mi>\ud835\udc7c<\/mi><\/mrow><mrow><mo fence=\"true\" form=\"prefix\">(<\/mo><mi>\ud835\udc8c<\/mi><mo fence=\"true\" form=\"postfix\">)<\/mo><\/mrow><mo>\u2212<\/mo><mrow style=\"font-weight:bold;\"><mi>\ud835\udc7b<\/mi><mi>\ud835\udc7c<\/mi><\/mrow><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>\ud835\udc8c<\/mi><mo>\u2212<\/mo><mn>1<\/mn><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\boldsymbol{MU}=\\boldsymbol{TU}\\left(\\boldsymbol{k}\\right)-\\boldsymbol{TU}(\\boldsymbol{k}-1)<\/annotation><\/semantics><\/math><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><br><br><br><a>\u603b\u6548\u7528\u4e0e\u8fb9\u9645\u6548\u7528\u7684\u9012\u51cf\u89c4\u5f8b<\/a><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\"  src=\"http:\/\/192.168.1.219:5488\/wp-content\/themes\/lolimeow-lolimeowV13.13\/assets\/images\/loading.gif\" data-src=\"http:\/\/192.168.1.219:5488\/wp-content\/uploads\/2026\/08\/image-18.png\" class=\"lazy\" loading=\"lazy\" alt=\"\" class=\"wp-image-161\" srcset=\"https:\/\/note.kazamata.uk\/wp-content\/uploads\/2026\/08\/image-18.png 466w, https:\/\/note.kazamata.uk\/wp-content\/uploads\/2026\/08\/image-18-300x189.png 300w\" sizes=\"(max-width: 466px) 100vw, 466px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u4e00\u6bb5\u65f6\u95f4\u5185\uff0c\u5728\u5546\u54c1\u6216\u8005\u670d\u52a1\u7684\u6d88\u8d39\u91cf\u4e0d\u53d8\u7684\u524d\u63d0\u4e0b\uff0c\u968f\u7740\u6d88\u8d39\u8005\u4e0d\u65ad\u6d88\u8d39\u67d0\u4e00\u5355\u4e00\u7684\u5546\u54c1\uff0c\u5176\u4ece\u4e2d\u83b7\u5f97\u7684\u6548\u7528\u589e\u52a0\u91cf\u662f\u9010\u6e10\u9012\u51cf\u7684<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\uff08\u8d27\u5e01\u7684\u8fb9\u9645\u6548\u7528\u89c6\u4e3a\u5e38\u6570\uff09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5f53\u8fb9\u9645\u6548\u7528\u9010\u6e10\u964d\u4f4e\uff0c\u603b\u6548\u7528\uff08TU\uff09\u7684\u66f2\u7ebf\u4f1a\u6108\u6765\u6108\u5e73\uff0c\u76f4\u81f3\u5411\u4e0b\u51cf\u5c11<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fb9\u9645\u6548\u7528\u9012\u51cf\u7684\u539f\u56e0\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u7269\u4ee5\u7a00\u4e3a\u8d35\uff08\u4e70\u591a\u4e86\u81ea\u7136\u5c31\u89c9\u5f97\u4e0d\u7a00\u6709\u4e86\uff09<\/li>\n\n\n\n<li>\u795e\u7ecf\u5143\u9762\u5bf9\u6301\u7eed\u7684\u523a\u6fc0\u4f1a\u9010\u6e10\u4e0d\u654f\u611f<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\"><a>\u6548\u7528\u6700\u5927\u5316<\/a><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u65e2\u5b9a\u6536\u5165\u548c\u5546\u54c1\u4ef7\u683c\u7684\u60c5\u51b5\u4e0b\uff0c\u6d88\u8d39\u8005\u4f7f\u5176\u82b1\u5728\u5176\u6240\u8d2d\u4e70\u7684\u6bcf\u4e00\u79cd\u5546\u54c1\u4e0a\u7684\u6700\u540e\u4e00\u5143\u94b1\u6240\u5f97\u5230\u8fb9\u9645\u6548\u7528\u76f8\u7b49\uff0c\u4f7f\u5f97\u603b\u6548\u7528\u6700\u5927<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u8868\u8fbe\u5f0f<\/strong><\/p>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><semantics><mrow><mfrac><mrow><mi>\ud835\udc74<\/mi><msub><mi>\ud835\udc7c<\/mi><mi>\ud835\udc99<\/mi><\/msub><\/mrow><msub><mi>\ud835\udc77<\/mi><mi>\ud835\udc99<\/mi><\/msub><\/mfrac><mo>=<\/mo><mfrac><mrow><mi>\ud835\udc74<\/mi><msub><mi>\ud835\udc7c<\/mi><mi>\ud835\udc9a<\/mi><\/msub><\/mrow><msub><mi>\ud835\udc77<\/mi><mi>\ud835\udc9a<\/mi><\/msub><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{\\boldsymbol{M}{\\boldsymbol{U}}_{\\boldsymbol{x}}}{{\\boldsymbol{P}}_{\\boldsymbol{x}}}=\\frac{\\boldsymbol{M}{\\boldsymbol{U}}_{\\boldsymbol{y}}}{{\\boldsymbol{P}}_{\\boldsymbol{y}}}<\/annotation><\/semantics><\/math><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\"  src=\"http:\/\/192.168.1.219:5488\/wp-content\/themes\/lolimeow-lolimeowV13.13\/assets\/images\/loading.gif\" data-src=\"http:\/\/192.168.1.219:5488\/wp-content\/uploads\/2026\/08\/image-19.png\" class=\"lazy\" loading=\"lazy\" alt=\"\" class=\"wp-image-162\" srcset=\"https:\/\/note.kazamata.uk\/wp-content\/uploads\/2026\/08\/image-19.png 856w, https:\/\/note.kazamata.uk\/wp-content\/uploads\/2026\/08\/image-19-300x148.png 300w, https:\/\/note.kazamata.uk\/wp-content\/uploads\/2026\/08\/image-19-768x380.png 768w\" sizes=\"(max-width: 856px) 100vw, 856px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d\u6548\u7528\u6700\u5927\u5316\u7684\u70b9\u5728\u603b\u6548\u7528\u6700\u5927\uff08TU=30\uff09\u7684\u70b9\u5904<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u4e00\u79cd\u5546\u54c1\u7684\u6548\u7528\u6700\u5927\u5316\u8868\u793a\uff1a<\/strong><\/p>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><semantics><mrow><mfrac><msub><mrow style=\"font-weight:bold;\"><mi>\ud835\udc74<\/mi><mi>\ud835\udc7c<\/mi><\/mrow><mn>1<\/mn><\/msub><mi>\ud835\udc77<\/mi><\/mfrac><mo>=<\/mo><mi>\ud835\udf40<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{{\\boldsymbol{MU}}_{1}}{\\boldsymbol{P}}=\\boldsymbol{\\lambda }<\/annotation><\/semantics><\/math><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u4e24\u79cd\u5546\u54c1\u7684\u6548\u7528\u6700\u5927\u5316\u8868\u793a\uff1a<\/strong><\/p>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><semantics><mrow><mfrac><msub><mrow style=\"font-weight:bold;\"><mi>\ud835\udc74<\/mi><mi>\ud835\udc7c<\/mi><\/mrow><mn>1<\/mn><\/msub><mi>\ud835\udc77<\/mi><\/mfrac><mo>=<\/mo><mfrac><msub><mrow style=\"font-weight:bold;\"><mi>\ud835\udc74<\/mi><mi>\ud835\udc7c<\/mi><\/mrow><mn>2<\/mn><\/msub><mi>\ud835\udc77<\/mi><\/mfrac><mo>=<\/mo><mi>\ud835\udf40<\/mi><msub><mi>\ud835\udc77<\/mi><mn>1<\/mn><\/msub><msub><mi>\ud835\udc78<\/mi><mn>1<\/mn><\/msub><mo>+<\/mo><msub><mi>\ud835\udc77<\/mi><mn>2<\/mn><\/msub><msub><mi>\ud835\udc78<\/mi><mn>2<\/mn><\/msub><mo>=<\/mo><mi>\ud835\udc8e<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{{\\boldsymbol{MU}}_{1}}{\\boldsymbol{P}}=\\frac{{\\boldsymbol{MU}}_{2}}{\\boldsymbol{P}}=\\boldsymbol{\\lambda }\n{\\boldsymbol{P}}_{1}{\\boldsymbol{Q}}_{1}+{\\boldsymbol{P}}_{2}{\\boldsymbol{Q}}_{2}=\\boldsymbol{m}\n<\/annotation><\/semantics><\/math><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u5176\u4e2dm\u4e3a\u9884\u7b97<\/strong><strong>\u66f4\u591a\u79cd\u5546\u54c1\u7684\u6548\u7528\u6700\u5927\u5316\u8868\u793a<\/strong>\uff1a<\/p>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><semantics><mrow><mfrac><msub><mrow style=\"font-weight:bold;\"><mi>\ud835\udc74<\/mi><mi>\ud835\udc7c<\/mi><\/mrow><mn>1<\/mn><\/msub><msub><mi>\ud835\udc77<\/mi><mn>1<\/mn><\/msub><\/mfrac><mo>=<\/mo><mfrac><mrow><mi>\ud835\udc74<\/mi><msub><mi>\ud835\udc7c<\/mi><mn>2<\/mn><\/msub><\/mrow><msub><mi>\ud835\udc77<\/mi><mn>2<\/mn><\/msub><\/mfrac><mo>=<\/mo><mo>\u2026<\/mo><mo>=<\/mo><mfrac><mrow><mi>\ud835\udc74<\/mi><msub><mi>\ud835\udc7c<\/mi><mi>\ud835\udc8f<\/mi><\/msub><\/mrow><msub><mi>\ud835\udc77<\/mi><mi>\ud835\udc8f<\/mi><\/msub><\/mfrac><msub><mi>\ud835\udc77<\/mi><mn>1<\/mn><\/msub><msub><mi>\ud835\udc78<\/mi><mn>1<\/mn><\/msub><mo>+<\/mo><msub><mi>\ud835\udc77<\/mi><mn>2<\/mn><\/msub><msub><mi>\ud835\udc78<\/mi><mn>2<\/mn><\/msub><mo>+<\/mo><mo>\u2026<\/mo><mo>+<\/mo><msub><mi>\ud835\udc77<\/mi><mi>\ud835\udc8f<\/mi><\/msub><msub><mi>\ud835\udc78<\/mi><mi>\ud835\udc8f<\/mi><\/msub><mo>=<\/mo><mi>\ud835\udc8e<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{{\\boldsymbol{MU}}_{1}}{{\\boldsymbol{P}}_{1}}=\\frac{\\boldsymbol{M}{\\boldsymbol{U}}_{2}}{{\\boldsymbol{P}}_{2}}=\\ldots =\\frac{\\boldsymbol{M}{\\boldsymbol{U}}_{\\boldsymbol{n}}}{{\\boldsymbol{P}}_{\\boldsymbol{n}}}\n{\\boldsymbol{P}}_{1}{\\boldsymbol{Q}}_{1}+{\\boldsymbol{P}}_{2}{\\boldsymbol{Q}}_{2}+\\ldots +{\\boldsymbol{P}}_{\\boldsymbol{n}}{\\boldsymbol{Q}}_{\\boldsymbol{n}}=\\boldsymbol{m}\n<\/annotation><\/semantics><\/math><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u5176\u4e2dm\u4e3a\u9884\u7b97<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6b32\u671b\uff1a \u6548\u7528\uff1a\u6d88\u8d39\u8005\u901a\u8fc7\u6d88\u8d39\u5546\u54c1\u6216\u670d\u52a1\u7684\u65b9\u5f0f\u6765\u83b7\u5f97\u6ee1\u8db3\u7684\u7a0b\u5ea6 \u5176\u4e2d\u6548\u7528\u53d6\u51b3\u4e8e\u6d88\u8d39\u8005\u7684\u4e3b\u89c2\u8bc4\u4ef7\u548c\u6d88\u8d39\u8005\u7684\u6b32\u671b\u7a0b\u5ea6 \u5e8f\u6570\u6548\u7528\/\u57fa\u6570\u6548\u7528 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