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数列一直是各地高考的重点、热点、难点,特别是数列创新题,因为其情境新颖、背景公平,能有效考查学生的阅读理解能力、综合分析问题和解决问题的能力以及临场学习能力、应变能力,从而备受命题者的青睐.本文结合2014届各地高考模拟中的数列创新题进行赏析,供读者参考.题1(北京市东城区2014届高三上学期期末考试)若无穷数列{an}满足:1对任意n∈N*,an+an+2/2≤an+1;2存在常数M,对任意n∈N*,
The series has always been the focus of all entrance examinations, hot spots and difficulties, especially the series of innovations, because of its novel situation and background of fairness, which can effectively examine students’ reading comprehension ability, comprehensive analysis of problems and problem-solving skills, and spot learning ability, adaptability , Which is highly favored by the proponents.This article combined with the 2014 series of college entrance examination simulation in the series of innovative questions to appreciate, for readers reference.Question 1 (Dongcheng District, Beijing 2014 senior high school last semester final) if the infinite sequence {an} meet : 1 for any n∈N *, an + an + 2 / 2≤an + 1; 2 there is a constant M, for any n∈N *,