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所谓“新定义型”数列问题,主要是指在数列问题中定义了中学数学中没有学过的新概念、新性质、新运算、新符号,要求学生读懂题意并结合已有知识、能力进行理解,根据新定义进行运算、推理、迁移的一种题型.本文结合近几年高考试题或各地模拟试题介绍几种“新定义型”数列,旨在探索题型规律、揭示解题方法,以馈读者.一、H数列例1设数列{an}的前n项和为Sn,若对任意正整数n,总存在正整数m,使得Sn=am,
The so-called “new definition ” series of questions, mainly refers to the sequence of questions defined in the high school mathematics did not learn new concepts, new properties, new operations, new symbols, require students to read the title and combined with existing knowledge , Ability to understand, according to a new definition of computing, reasoning, migration of a kind of questions.This article combined with the recent years college entrance examination questions or simulated test questions introduced several “new definition” series, to explore the type of questions, First, the H series Example 1 Let the first n terms of the sequence {an} and Sn, if there is a positive integer m for any positive integer n, so that Sn = am,