最近几年的高考试题和模拟试题中,出现了很多含有量词“任意”、“存在”的方程与不等式问题.这些问题比较抽象、有一定的难度,对学生的逻辑思维能力和转化能力要求较高,经常作为压轴题、把关题出现.本文对这类问题做了一些归纳和整理,并给出相应的处理方法.1、等价转化为便于研究,假设下面10种类型涉及的函数f(x),g(x),f(x)-g(x)在给定区间上都有最大值和最小值.类型 In recent years, college entrance examination questions and simulation questions, there have been many containing the quantifier “any ”, “existence ” equation and inequality problems.These questions are more abstract, a certain degree of difficulty, the students logical thinking ability and The transformation ability of higher requirements, often as the finale of the title, the problem appears.This paper does some induction and collation of these issues, and gives the corresponding approach.1, Equivalence into easy to study, assuming the following 10 types involved The functions f (x), g (x), f (x) -g (x) have the maximum and minimum values ​​for a given interval.