数学教学中常常遇到恒成立问题,学生解决这类问题往往比较吃力.恒成立问题有很多种类型,涉及到一次函数、二次函数的性质和图象、分离常数、导数,蕴含着换元、化归、数形结合、函数与方程等思想方法,解决恒成立问题有利于提高学生的综合解题能力,在培养思维的灵活性、创造性等方面起到了积极的作用.本文将综合讨论不等式恒成立问题的类型与解法. Often encountered in mathematics teaching established problem, students solve these problems are often more difficult.He established a variety of types of problems, involving a function, quadratic function of the nature and image, the separation of constants, derivatives, contains the exchange element , Return to normalization, combination of numbers, functions and equations and other ideas and methods to solve the problem of permanent establishment is conducive to improving students’ ability to solve problems comprehensively, and play an active role in cultivating the flexibility and creativity of thinking.This paper will discuss inequalities The type and solution of the problem of permanent establishment.