在 |x+a|± |x+b|c;|x+a|± |x+b|c这类不等式中 a,b,c是已知的数字 ,c是正数。若 ab,它的常规解法分为 x- a;- a≤x≤ - b;x- b三种情况进行讨论。这一解法主要依据绝对值的定义 ,它的缺点在于运算繁琐 ,不易得出准确答案。以下介绍一种几何解法 :根据绝对值的几何意义 , In inequalities such as |x+a|±|x+b|c;|x+a|±|x+b|c, a, b, c are known numbers, and c is a positive number. If ab, its conventional solution is divided into three cases: x-a;-a≤x≤-b;x-b. This solution is mainly based on the definition of the absolute value, its disadvantage is that the operation is cumbersome and it is not easy to get an accurate answer. The following describes a geometric solution: according to the geometric meaning of the absolute value,