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数列的递推关系问题,是中学数学中一种十分常见的问题,其思想内涵丰富,具有一定的抽象性与综合性、很强的逻辑性和灵活性.新课标形势下,把递推数列的探求设置在创新背景中,既不失考查重点,也赋予知识新内涵,体现知识的价值,不失为一种两全其美的方式.因此,在高考、自主招生及竞赛中,经常可以看到以数列递推关系为载体的交汇问题,这已成为了近几年创新题型的新亮点,值得细细体会.本文整理几类这样的交汇问题进行剖析,与读者共赏.
Recurrence sequence of numbers is a very common problem in middle school mathematics, with rich connotation, certain abstraction and comprehensiveness, strong logic and flexibility. Under the new curriculum standard, Exploration of the series is set in the background of innovation, both the focus of examination, but also to give new meaning of knowledge, reflect the value of knowledge, after all, the best of both worlds, so in the college entrance examination, self enrollment and competition, you can often see the sequence Recursive relations as the carrier of the intersection of the problem, which has become a new bright spot in recent years, innovative questions, it is worth to carefully understand.This article sorts several types of such convergence analysis, and the audience.