高三数学复习中的恒成立与存在性问题,涉及一次函数、二次函数等函数的性质、图像,渗透着换元、化归、数形结合、函数与方程等思想方法,有利于考查学生的综合解题能力,在培养学生思维的灵活性、创造性等方面起到了积极的作用.因此也成为历年高考的一个热点.恒成立与存在性问题的处理途径有多种,下面通过实例来谈谈对它们的处理方法. Senior high school mathematics review constant establishment and existence of problems, involving the first order function, quadratic function and other functions of the nature of the image, infiltration of yuan, the return of the number of forms, functions and equations and other methods are conducive to examine the students Comprehensive ability to solve problems in the cultivation of students’ thinking flexibility, creativity, etc. has played a positive role, it has also become a hot spot over the years of college entrance examination. There are many ways to deal with the permanent establishment and existential issues, the following examples to talk about The way they are handled.