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一个数量的变化,往往会引起另一个数量的变化,在诸多变化的条件中,常常会有一些量不变。因此,在解决问题时,可以抓住量不变,寻找解决问题的突破口,这就是量不变的数学思想方法。由一种形式转化成另一种形式就是转化,这是常用的数学思想方法。在解一些分数应用题时,如能巧妙运用量不变和转化的数学思想方法,寻找解题的突破口,能使问题迎刃而解。
A change in quantity tends to cause another change in quantity, and there are often many changes in many changing conditions. Therefore, when solving a problem, we can grasp the quantity and find a breakthrough point to solve the problem, which is a constant mathematical thinking and method. Transformation from one form to another is transformation, which is a commonly used mathematical thinking method. When solving some fractional application questions, if we can cleverly apply the mathematical concepts and methods of constant change and transformation, finding a breakthrough point for solving problems can solve the problem easily.