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数列作为高考重要的知识体系,在高考解答题中占有极其重要的地位.数列应用题在题型上主要是求数列的通项公式,还有一部分是证明题.求数列的通项公式有很多方法,比如有定义法、递推公式法、数学归纳法、公式法、累加法、累乘法、构造法等.这里,笔者介绍一种非常实用有效的方法——作差法.“作差法”是一种具有通性的方法,它作为解题的第一块跳板,可以把数列中的数量关系变得由远及近,由模糊到明朗,由复杂到简单,从而为后续步骤打
As an important knowledge system of the college entrance examination, the sequence of numbers occupies an extremely important position in the solution to the college entrance examination. The number of applications on the type of questions is mainly to find the general formula of the series, and a part of it is the proof. The general formula of the series is many Methods, such as definition method, recursive formula method, mathematical induction method, formula method, cumulative method, cumulative multiplication method, construction method, etc. Here, the author introduces a very practical and effective method - for the difference method. “for difference The method ” is a universal method. It serves as the first springboard for problem solving. It can make the number relations in the series from far and near, from fuzzy to clear, from complex to simple, and thus for the next steps. hit