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在解题过程中,有时如果单一地代入,可能使计算过程变得繁琐,这时如果能够根据题目条件,将其中某些代数式视为一个整体,看作一个数(量)来思考问题,往往能简捷解题,这种解决问题的方法就叫整体思想.整体思想是一种非常重要的思想方法,在代数式的化简与求值、解方程(组)或不等式等方面都有广泛的应用,了解掌握这种方法,对提高数学水平大有好处.一、代数式化简求值例1如果x+y=-4,x-y=8,那么代数式
In the process of solving problems, sometimes it may complicate the calculation process if it is substituted in a single way. In this case, if some of the algebra can be considered as a whole according to the condition of the topic and considered as a number (quantity) This problem-solving method is called the whole idea, and the whole idea is a very important method of thinking, which has a wide range of applications in the fields of algebraic simplification and evaluation, solution of equations (groups) or inequalities , Understand this method master, to improve the mathematical level of great benefit .Agearial simplificationExample 1 If x + y = -4, xy = 8, then the algebraic