初中《代数》(第一册)给出了绝对值的定义,并给出如下两个定理:设a、b为实数,则 (1)|ab|=|a|·|b|, (2)|a/b|=|a|/|b|。 其中(1)还可以推广到多个实数情况。 显而易见,绝对值的概念与性质,是初中数学的重要概念。准确地使用这一概念,往往能十分简捷地解决问题。本文介绍应用这一概念巧解绝对值方程 The junior algebra “Algebra” (Volume 1) gives the definition of absolute values ​​and gives the following two theorems: Let a and b be real numbers, then (1)|ab|=|a|·|b|, (2 )|a/b|=|a|/|b|. Among them, (1) can also be extended to multiple real numbers. Obviously, the concept and nature of absolute values ​​are important concepts in junior high school mathematics. Using this concept accurately can often solve the problem very simply. This article describes the application of this concept to solve the absolute value equation