高中数学学习中,经常会碰到一类问题——不等式恒成立.笔者多年在高三的复习中发现,很多学生对这一类问题的求解还存在误区,值得引起重视.所谓不等式恒成立问题,即一个不等式中含有两个变量,已知一个变量的范围,当该变量在这个范围内任意取值,不等式均成立,求另一个变量的范围.不等式恒成立问题,是高中数学的重要知识点,也是高考的考点.求解这类问题,常常可以采取以下几种方法.一、分离变量,转化成求最值问题 High school mathematics learning, often encounter a class of problems - Inequality constant established .I author years of review in the third year found that many students solve this type of problem there are still errors, it deserves attention. The so-called inequality constant problem, That is, an inequality contains two variables, known a variable range, when the variable is arbitrarily chosen within this range, the inequality holds, to find the scope of another variable. Inequality constant problem is established, an important knowledge of high school mathematics , But also the test center entrance.To solve this type of problem, you can often take the following methods: First, the separation of variables, into the most value problem