不等式恒成立问题是数学中常见的问题,在高考中频频出现,是高考中的一个难点问题.此类题型综合性较强,常涉及一次函数、二次函数的性质和图像,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,在培养思维的灵活性、创造性等方面起到了积极的作用,因此成为历年高考的一个热点.题中所涉及的未知数、参数数目有多个,处理时常常陷入困境之中,本文通过几个具体例题,探讨该类问题的基本 The problem of inequality constant establishment is a common problem in mathematics. It frequently appears in the college entrance examination. It is a difficult problem in the college entrance examination. Such a problem type is more comprehensive and often involves the functions and the properties of a function and a quadratic function. The ideological methods such as Yuan, return, combination of number and shape, function and equation are helpful to examine students’ comprehensive problem-solving abilities and play a positive role in cultivating thinking flexibility, creativity, etc. Therefore, it has become a hot spot in the college entrance examination over the years. The number of unknowns and parameters involved in the question are many and often fall into trouble during processing. This article discusses basic issues of this type of problem through several concrete examples.