数列求和与不等式综合问题是高考中常见的一种题型,这类试题需要考生灵活地综合运用数列和不等式的知识进行解题,难度往往比较大.在老师的指导下,我对这类题型进行了集中练习,并对解题思路和方法进行了认真的归纳和总结,发现解决这类问题的常用解法有裂项相消法、放缩法和构造函数法,而且后两种方法往往需要与裂项相消法等数列求和方法综合运用. Serial summation and inequality is a common problem in college entrance examination of a common type of questions that require candidates to flexibly use sequence and inequality knowledge to solve problems, often more difficult. Under the guidance of the teacher, I class Type of problem-focused practice, and the problem-solving ideas and methods were carefully summarized and summarized, and found that the common solution to such problems are cracked item elimination method, scaling method and constructor method, and the latter two methods Often need to sum up the method of summation of the series such as the split-item method.