{"id":71,"date":"2024-06-25T10:00:30","date_gmt":"2024-06-25T10:00:30","guid":{"rendered":"https:\/\/www.mathmind.idv.tw\/teacabinet\/?p=71"},"modified":"2025-08-30T15:00:36","modified_gmt":"2025-08-30T15:00:36","slug":"%e5%a4%a7%e5%a3%ba%e5%b0%8f%e5%a3%ba%e6%b2%96%e6%b3%a1%e7%b0%a1%e6%98%93%e5%af%a6%e9%a9%97","status":"publish","type":"post","link":"https:\/\/www.mathmind.idv.tw\/teacabinet\/2024\/06\/25\/%e5%a4%a7%e5%a3%ba%e5%b0%8f%e5%a3%ba%e6%b2%96%e6%b3%a1%e7%b0%a1%e6%98%93%e5%af%a6%e9%a9%97\/","title":{"rendered":"\u5927\u58fa\u5c0f\u58fa\u6c96\u6ce1\u7c21\u6613\u5be6\u9a57"},"content":{"rendered":"<p>\u3000\u3000\u904e\u53bb\u5e38\u5e38\u6709\u4eba\u554f\u4e00\u500b\u554f\u984c\uff0c\u70ba\u4ec0\u9ebc\u8981\u62ff100ml\u7684\u5c0f\u58fa\u6c96\u6ce1\u4e94\u6b21\uff0c\u800c\u4e0d\u76f4\u63a5\u7528500ml\u7684\u5927\u58fa\u6ce1\u4e00\u6b21\u5c31\u597d?<br 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\/>\n\u8336\u8449\uff1a\u65b0\u7af9\u756a\u838a\u689d\u578b\u8336\u54044g\u3002\u9019\u908a\u9078\u64c7\u689d\u578b\u8336\u662f\u56e0\u70ba\u7403\u578b\u8336\u8981\u8003\u616e\u8336\u8449\u5c55\u958b\u7684\u5f71\u97ff\uff0c\u800c\u4e14\u73fe\u5728\u7403\u578b\u8336\u8449\u5b50\u7d93\u5e38\u5927\u5c0f\u4e0d\u4e00\uff0c\u7121\u6cd5\u50cf\u689d\u578b\u8336\u53ef\u4ee5\u5728\u6c96\u6ce1\u524d\u5c31\u9078\u64c7\u8f03\u4e00\u81f4\u5927\u5c0f\u7684\u8449\u5b50\u3002<br \/>\n\u6c96\u6ce1\u65b9\u5f0f\uff1a<br \/>\n1\u865f\uff1a\u6cb8\u6c34\u6d78\u6ce15\u5206\u9418\u5f8c\u51fa\u6e6f\u3002<br \/>\n2\u865f\uff1a\u6bcf\u6b21\u6d78\u6ce11\u5206\u9418\u5f8c\u5c07\u8336\u6e6f\u5012\u5165\u76db\u8336\u5bb9\u5668\uff0c\u5171\u6d78\u6ce15\u6b21\u3002<br \/>\n<figure id=\"attachment_73\" aria-describedby=\"caption-attachment-73\" style=\"width: 1020px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.mathmind.idv.tw\/teacabinet\/wp-content\/uploads\/2025\/08\/PXL_20240625_012740487-25.jpg\" alt=\"\" width=\"1020\" height=\"768\" class=\"size-full wp-image-73\" srcset=\"https:\/\/www.mathmind.idv.tw\/teacabinet\/wp-content\/uploads\/2025\/08\/PXL_20240625_012740487-25.jpg 1020w, https:\/\/www.mathmind.idv.tw\/teacabinet\/wp-content\/uploads\/2025\/08\/PXL_20240625_012740487-25-300x226.jpg 300w, https:\/\/www.mathmind.idv.tw\/teacabinet\/wp-content\/uploads\/2025\/08\/PXL_20240625_012740487-25-768x578.jpg 768w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 1362px) 62vw, 840px\" \/><figcaption id=\"caption-attachment-73\" class=\"wp-caption-text\">\u672c\u6b21\u5be6\u9a57\u7684\u5927\u5c0f\u71d2\u676f<\/figcaption><\/figure><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.mathmind.idv.tw\/teacabinet\/wp-content\/uploads\/2025\/08\/PXL_20240625_013232860-25.jpg\" alt=\"\" width=\"1020\" height=\"768\" class=\"alignnone size-full wp-image-74\" srcset=\"https:\/\/www.mathmind.idv.tw\/teacabinet\/wp-content\/uploads\/2025\/08\/PXL_20240625_013232860-25.jpg 1020w, https:\/\/www.mathmind.idv.tw\/teacabinet\/wp-content\/uploads\/2025\/08\/PXL_20240625_013232860-25-300x226.jpg 300w, https:\/\/www.mathmind.idv.tw\/teacabinet\/wp-content\/uploads\/2025\/08\/PXL_20240625_013232860-25-768x578.jpg 768w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 1362px) 62vw, 840px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.mathmind.idv.tw\/teacabinet\/wp-content\/uploads\/2025\/08\/PXL_20240625_013638215-25.jpg\" alt=\"\" width=\"1020\" height=\"768\" class=\"alignnone size-full wp-image-75\" srcset=\"https:\/\/www.mathmind.idv.tw\/teacabinet\/wp-content\/uploads\/2025\/08\/PXL_20240625_013638215-25.jpg 1020w, https:\/\/www.mathmind.idv.tw\/teacabinet\/wp-content\/uploads\/2025\/08\/PXL_20240625_013638215-25-300x226.jpg 300w, https:\/\/www.mathmind.idv.tw\/teacabinet\/wp-content\/uploads\/2025\/08\/PXL_20240625_013638215-25-768x578.jpg 768w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 1362px) 62vw, 840px\" \/><br \/>\n\u5be6\u9a57\u7d50\u679c\uff1a<br \/>\n\u3000\u3000\u6211\u9019\u908a\u6c92\u6709\u5be6\u9a57\u5ba4\u53ef\u4ee5\u6aa2\u6e2c\u6578\u64da\uff0c\u4ee5\u5f8c\u5728\u8003\u616e\u8981\u4e0d\u8981\u8cb7\u4e00\u500b\u8336\u5c08\u7528\u7684\u6fc3\u5ea6\u8a08\u3002<br \/>\n\u4e0d\u904e\u9019\u500b\u5be6\u9a57\u7528\u76ee\u6e2c\u5c31\u80fd\u5f88\u660e\u986f\u770b\u51fa1\u865f\u8336\u6e6f\u7684\u8336\u8272\u8f03\u6de1\uff0c2\u865f\u8336\u6e6f\u7684\u8336\u8272\u8f03\u6df1\u3002<br \/>\n\u76f2\u98f2\u7d50\u679c\uff0c1\u865f\u8336\u6e6f\u7684\u82e6\u6f80\u5ea6\u4f4e\u8f03\u6ed1\u9806\uff0c\u559d\u8d77\u4f86\u96d6\u8f03\u5e73\u6de1\uff0c\u4f46\u6574\u9ad4\u878d\u5408\u611f\u4f73\uff1b2\u865f\u8336\u6e6f\u660e\u986f\u8f03\u9178\u4e14\u82e6\u6f80\u5ea6\u8f03\u9ad8\uff0c\u9999\u6c23\u8f03\u6fc3\u70c8\u3002<br \/>\n<figure id=\"attachment_76\" aria-describedby=\"caption-attachment-76\" style=\"width: 1020px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.mathmind.idv.tw\/teacabinet\/wp-content\/uploads\/2025\/08\/PXL_20240625_015620545-25.jpg\" alt=\"\" width=\"1020\" height=\"768\" class=\"size-full wp-image-76\" srcset=\"https:\/\/www.mathmind.idv.tw\/teacabinet\/wp-content\/uploads\/2025\/08\/PXL_20240625_015620545-25.jpg 1020w, https:\/\/www.mathmind.idv.tw\/teacabinet\/wp-content\/uploads\/2025\/08\/PXL_20240625_015620545-25-300x226.jpg 300w, https:\/\/www.mathmind.idv.tw\/teacabinet\/wp-content\/uploads\/2025\/08\/PXL_20240625_015620545-25-768x578.jpg 768w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 1362px) 62vw, 840px\" \/><figcaption id=\"caption-attachment-76\" class=\"wp-caption-text\">\u53f3\u908a\u70ba1\u865f\u8336\u6e6f\uff0c\u5de6\u908a\u70ba2\u865f\u8336\u6e6f<\/figcaption><\/figure><br \/>\n\u7c21\u8a55\uff1a<br \/>\n\u3000\u3000\u9019\u5169\u7a2e\u6c96\u6ce1\u65b9\u5f0f\u6700\u4e3b\u8981\u7684\u5dee\u7570\u5728\u65bc\u8403\u53d6\u901f\u7387\u3002<br \/>\n\u3000\u3000\u95dc\u65bc\u8403\u53d6\u901f\u7387\u53ef\u4ee5\u5229\u7528Noyes-Whitney\u516c\u5f0f\u4f86\u8a08\u7b97\u3002\u9019\u500b\u516c\u5f0f\u662f\u5728\u85e5\u7269\u5b78\u4e2d\u62ff\u4f86\u8a08\u7b97\u85e5\u7269\u6eb6\u89e3\u901f\u7387\u7684\u516c\u5f0f\uff0c\u4e5f\u5f88\u591a\u4eba\u6703\u7528\u4f86\u8a08\u7b97\u5496\u5561\u7684\u6eb6\u89e3\u901f\u7387\uff0c\u7528\u5728\u6ce1\u8336\u4e0a\u61c9\u8a72\u4e5f\u53ef\u4ee5\u53c3\u8003\u3002<br \/>\nNoyes-Whitney\uff1a<br \/>\n\\(\\frac{{dM}}{{dt}} = \\frac{{DA({C_s} &#8211; C)}}{h}\\)<br \/>\n\\(\\frac{{dM}}{{dt}}\\)\uff1a\u6eb6\u89e3\u901f\u7387(\u6bcf\u55ae\u4f4d\u6642\u9593\u6eb6\u89e3\u7684\u6eb6\u8cea\u8cea\u91cf)<br \/>\nD\uff1a\u6eb6\u6db2\u7684\u64f4\u6563\u4fc2\u6578<br \/>\nA\uff1a\u6eb6\u8cea\u53ef\u63a5\u89f8\u7684\u8868\u9762\u7a4d<br \/>\nCs\uff1a\u6eb6\u8cea\u5728\u8a72\u6eb6\u5291\u7684\u6eb6\u89e3\u5ea6<br \/>\nC\uff1a\u6642\u9593t\u6642\u6eb6\u6db2\u4e2d\u7684\u6fc3\u5ea6<br \/>\nh\uff1a\u64f4\u6563\u5c64\u539a\u5ea6<br 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\/>\n\u90a3\u9ebc\u56de\u5230\u5927\u58fa\u5c0f\u58fa\u7684\u554f\u984c\uff0c\u4e00\u500b\u4e3b\u8981\u7684\u539f\u56e0\u61c9\u8a72\u5c31\u662fC\u9019\u500b\u8b8a\u6578\u4e86\u3002\u5728\u5927\u58fa\u4e2d\u96a8\u8457\u6642\u9593\u589e\u52a0\u6fc3\u5ea6C\u6703\u589e\u52a0\uff0c\u9019\u4e5f\u4ee3\u8868\u6eb6\u89e3\u7684\u901f\u7387\u6703\u6108\u4f86\u6108\u6162\u3002\u4f46\u662f\u5728\u5c0f\u58fa\u4e2d\u56e0\u70ba\u6d78\u6ce11\u5206\u9418\u5f8c\u5c31\u91cd\u65b0\u6ce8\u6c34\uff0c\u7b49\u65bc\u6bcf\u6b21C\u90fd\u6b78\u96f6\uff0c\u4fbf\u53ef\u4ee5\u4e00\u76f4\u7dad\u6301\u8f03\u5feb\u7684\u6eb6\u89e3\u901f\u7387\uff0c\u540c\u6a23\u6d78\u6ce15\u5206\u9418\uff0c\u5c0f\u58fa\u6ce1\u5e73\u5747\u6eb6\u89e3\u901f\u7387\u6703\u5feb\u65bc\u5927\u58fa\u6ce1\u3002<\/p>\n<p>\u3000\u3000h\u662f\u6307\u5728\u56fa\u9ad4\u8868\u9762\u548c\u5468\u570d\u6eb6\u6db2\u4e4b\u9593\u5b58\u5728\u7684\u4e00\u5c64\u975c\u6b62\u6216\u6d41\u52d5\u5f88\u6162\u7684\u6db2\u9ad4\u5c64\u3002\u9019\u5c64\u6db2\u9ad4\u5c64\u4e26\u672a\u53d7\u5230\u5916\u90e8\u652a\u62cc\u7684\u5f71\u97ff\uff0c\u56e0\u6b64\u5176\u539a\u5ea6\u6703\u5f71\u97ff\u6eb6\u8cea\u5f9e\u56fa\u9ad4\u8868\u9762\u5411\u5916\u64f4\u6563\u7684\u901f\u7387\u3002\u5728\u6eb6\u89e3\u7684\u904e\u7a0b\u4e2d\uff0c\u9019\u5c64\u672a\u652a\u62cc\u5c64\u6703\u5f62\u6210\u4e00\u500b\u64f4\u6563\u963b\u529b\uff0c\u6e1b\u6162\u6eb6\u8cea\u5f9e\u56fa\u9ad4\u8868\u9762\u6eb6\u89e3\u5230\u5468\u570d\u6db2\u9ad4\u4e2d\u7684\u901f\u5ea6\u3002<br 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