“不等式恒成立问题”是高中数学学习中一种常见题型,它把不等式、函数等内容结合起来,因覆盖知识点多,解法灵活等特点而备受高考命题者的喜欢。在解决这类问题的过程中涉及的“函数与方程”“数形结合”“分类讨论”等数学思想对提高学生的综合解题能力、培养思维有很大作用。下面就结合常见实例谈谈这类问题的几种求解方法。 “Constitute the inequality problem ” is a common problem in senior high school mathematics learning, which combines inequality, function and other content, because of covering knowledge, flexible solution and other characteristics of college entrance examination subjects like. In the process of solving such problems involved in the “function and equation ” “” “” “class discussion ” and other mathematical ideas to improve students’ ability to comprehensive problem solving, training thinking has a significant role. The following combination of common examples to talk about several solutions to such problems.