绝对值不等式的证明,学生往往感到困难.本文结合实例,试对绝对值不等式的常用证法作一概略介绍.1.零点区间划分法依据不等式中所含各绝对值的零点,将数轴划分为若干个区间,通过对各个区间取值情况的讨论,化去绝对值符号,进而作出证明.该法是证明含有一个变元的绝对值不等式的基本方法. For the proof of absolute value inequality, students often find it difficult. This article combines examples to try to give a general introduction to the commonly used proofs of absolute value inequality. 1. The zero interval method is based on the zero point of the absolute value contained in the inequality and divides the number axis into Several intervals, through the discussion of the value of each interval, denormalize the sign of the value, and then make a proof. This method is a basic method to prove the absolute value inequality containing a variable.