以“函数列”为背景的一类高考题

On a Type of Problems in College Entrance Examination with "Function Sequences" as the Background

近两年高考试题中出现以高等数学中"函数列"为背景的一类高考试题,主要有两种形式:存在唯一零点及零点构成数列的单调性,本文主要讨论解这类试题的一些思路。

In recent two years＇ college entrance examinations, there is a type of problems with ＂function sequences＂ in higher mathematics as the background, mainly including two forms： the existence of the only zero point and the monotonicity of the sequences constituted by zero points. This paper mainly discusses some ideas of solving this type of problems.