数列是高中数学的重要内容之一,数列求和问题一直是历年高考中的重要综合题型,这类问题常与函数、不等式知识进行交汇,能有效考查学生运用知识综合分析问题的能力,因而备受命题者青睐,并经常以压轴题的面貌出现.2006年各地高考题中涌现出一类估计数列和式的上(下)界的综合题,本 The series is one of the important contents of high school mathematics. The series summation problem has always been an important comprehensive problem in the college entrance examinations over the years. Such problems often interact with knowledge of functions and inequalities, and can effectively examine students’ abilities to use knowledge to analyze problems comprehensively. The propositions are favored by the propositions and often appear on the face of the finale question. In 2006, a series of comprehensive questions of the upper and lower bounds of the series of sums of equations emerged in various local college entrance examination questions.