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数学思想是从数学内容中 提炼出来的精髓,是数 学的灵魂,是将知识转化为能力的 桥梁,也是历年高考的重点,有着 普遍应用意义。本文就数学思想在 数列中的运用作一浅析,旨在引导 学生拓宽思路,培养能力,以利复 习备考。 一、运用函数思想研究数列 数列是一类特殊的函数,数列 的通项公式和前n项和公式都是 关于n的函数,因此许多数列问题 可借助函数解析式,图象及性质可 快捷地解题。
Mathematical thinking is the essence extracted from the content of mathematics, is the soul of mathematics, is the bridge to transform knowledge into competence, and is also the focus of the college entrance examination over the years. It has universal application significance. This article analyzes the application of mathematics thinking in the series to guide students to broaden their ideas and develop their abilities so that they can review their preparations. First, the use of function ideas to study the sequence of numbers is a special kind of function, the general formula of the series and the first n terms and formulas are all functions of n, so many series of problems can be solved by function analysis, and the image and nature can be quickly Problem solving.