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溶液倒出倒进应用题是一元二次方程学习中的难点之一,在这里特提出一个解决此类问题的数学模型,供同学们参考. 先看一个问题: 一个容器盛满纯药液a升,第一次倒出6升纯药液后,用水加满,第二次又倒出同样多的药液,再用水加满,这时,容器内剩下的纯药液是c升.求a,b,c的关系式.(《代数》第三册77页第21题改编)
Solution pouring into the application is one of the difficulties in the learning of quadratic equations. Here, a mathematical model to solve such problems is proposed for students to refer to. Look at a problem: A container full of pure liquid a, After pouring out 6 liters of pure liquid for the first time, fill with water and pour out the same amount of liquid for the second time, and then fill with water again. At this time, the pure liquid remaining in the container is c liters. , b, c. (Algebra, vol. 3, vol. 77, Adaptation No. 21)