数列和不等式都是中学数学中非常重要的内容,也是高考的热点.近年来对数列和不等式的综合考查常被设置为高考压轴题,因为数列不等式的证明问题既要考虑不等式的证明方法,又要结合数列的特点,故综合性强,难度大.本文借助几道典型的高考试题,介绍数列不等式的常用证明方法.一、平 The series and inequality are very important contents in middle school mathematics, and they are also hot topics of college entrance examination. In recent years, the comprehensive examination of series and inequalities is often set as the college entrance exam finale problem, because the proof of the series inequalities must consider not only the method of inequality, but also To combine the characteristics of the series, it is comprehensive and difficult. This article uses several typical high test questions to introduce the commonly used proof methods of series inequalities.