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1、例例例例1 1 1 1、一一一一个个个个容容容容器器器器装装装装满满满满了了了了浓浓浓浓度度度度为为为为60%60%60%60%的的的的酒酒酒酒精精精精溶溶溶溶液液液液，第第第第一一一一次次次次倒倒倒倒出出出出20202020升升升升，用用用用水水水水加加加加满满满满，第第第第二次倒出二次倒出二次倒出二次倒出30303030升，又用水加满，此时容器中还剩升，又用水加满，此时容器中还剩升，又用水加满，此时容器中还剩升，又用水加满，此时容器中还剩45454545升纯酒精，求容器的容积。升纯酒精，求容器的容积。升纯酒精，求容器的容积。升纯酒精，求容器的容积。一、分析：设容器的容积为一、分析：设容器的
2、容积为X X升升容器中纯酒精：容器中纯酒精：60%x60%x浓度：浓度：60%60%第一次倒出第一次倒出2020升后升后用水加满用水加满容器中纯酒精：（容器中纯酒精：（60%X-60%2060%X-60%20）升）升浓度浓度第二次倒出第二次倒出30升后用水加满升后用水加满容器中的纯酒精：容器中的纯酒精：二、解答二、解答 解：设容器的容积为解：设容器的容积为x升。由题意得升。由题意得=45答：容器的容积为答：容器的容积为120升。升。三、总结以下规律：三、总结以下规律：在在容容器器为为V升升的的容容器器中中，盛盛满满浓浓度度为为P的的溶溶液液，第第一一次次倒倒出出X1升升后后用用水水加加满满，第
3、第二二次次倒倒出出x升升后后再再用用水水加加满满，依依次进行次进行n次后容器中还剩纯溶液次后容器中还剩纯溶液y升，那么有升，那么有说明：说明：1、当原来容器中所盛的是纯溶液时，则公式中的、当原来容器中所盛的是纯溶液时，则公式中的P为为100%，同，同样可用公式（样可用公式（2）；）；2、当当原原来来容容器器中中所所盛盛的的是是纯纯溶溶液液时时，且且每每次次倒倒出出的的溶溶液液都都是是x升升，则则公式（公式（2）可化为）可化为 （n为倒出的次数）为倒出的次数）fOcK9H5E2B+x(u%rZoWkThQeMbJ8G4D1z-w*t!qYnVjSgOdLaI6F3C0y)v&sWlThQeNbJ
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