高中数学的导数解答题历来是教学的重难点,但是导数题方法多,技巧强,运算复杂,所以需要针对不同的题型总结解法,有针对的突破难点.本文主要是针对导数和数列的综合题,利用其中数列求和的典型特征,构造两个可以逐项比较大小的数列,来证明不等式的结论,针对性解决这类问题. Derivative problem solving of high school mathematics has always been a difficult and difficult point of teaching, but the derivative problem method is multi-skill, complex operation, so need to solve the problem for different types of solutions, targeted to break the difficult.This paper is mainly for the synthesis of derivatives and sequences In this paper, by using the typical features of summation of the series, we construct two series that can be itemized by size to prove the conclusion of inequality and solve these problems.