绝对值函数的最值问题,在历年的高考卷中屡见不鲜,在各类竞赛和自主招生考试中更是备受命题者的青睐.该类问题综合运用数形结合、分类讨论、转化等数学思想方法,具有较好的选拔功能.本文围绕双绝对值函数,从一个简单的问题入手,层层递进,从而完成对该类试题的探究.例题求函数f(x)=|x+1|+|x-2|的最小值. The absolute value of the most value of the problem in the calendar year of the college entrance examination is uncommon, in all kinds of competitions and self-enrollment examination is highly favored by proponents .This type of problem integrated mathematical combination, classification, conversion and other mathematical ideas Method, with good selection function.This paper focuses on the double absolute value function, starting from a simple problem, progressively layers, so as to explore the type of test questions.Examples seeking the function f (x) = | x +1 | + | x-2 |