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递推数列问题渗透着许多重要的数学思想方法,递推数列问题的解决能很好地体现思维能力。递推数列是给出数列的一种重要方法,虽然教科书上介绍的不多,但递推数列问题渗透着化归、转化等许多重要的数学思想方法。递推数列问题的解决能很好地体现思维能力,因此多年以来一直成为高考命题的热门素材。笔者总结近些年高考数学试题全国卷和地方卷递推数列的主流题目有三:1.构造、转化为与等差数列、等比数列有关的数列;
Recursion sequence problems infiltrate many important mathematical ideas and methods, the problem of recursion sequence problem solving can well reflect the thinking ability. Recursion sequences are an important way to give out sequences. Although few are introduced in textbooks, the recursion sequence problems permeate many important mathematical ideas and methods, such as naturalization and transformation. Recursive sequence problem solving can well reflect the thinking ability, so for many years has become a popular material college entrance examination proposition. The author summarizes the college entrance examination mathematics questions in recent years, the national volume and local volume recursive sequence of the mainstream topics are three: 1. Construct, into the series with equal difference, geometric series;