数列与不等式的综合问题常常出现在高考的压轴题中,是历年高考命题的热点,这类问题能有效地考查学生综合运用数列与不等式知识解决问题的能力,受到高考命题者的青睐。这类题型的证明方法由于灵活多变,许多学生感觉处理这些问题无从下手,没有规律。本文举例说明 The comprehensive problems of series and inequality often appear in the finale of college entrance examination, which is the hot topic of college entrance examination proposition over the years. Such problems can effectively examine students’ abilities of using sequence and inequality knowledge to solve problems and are favored by college entrance examination candidates. Because of the flexible nature of the proofs of these types of questions, many students find it hard to deal with these problems without any rules. This article gives an example