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由数列的递推公式求解数列的通项公式是近几年高考的热门考点之一,特别是对于一阶分式型递推式的通项公式的求法,更是作为一大难点在高考中出现.教师在教学过程中提供的方法更多的是运用高等数学的不动点原理,通过求特征根方程来求解通项公式.虽然此方法简单快捷,对学生在考试中拿到更高的分数起到很好的作用.但是对学生在平时学习中的抽象推理能力、逻辑推理能力、构造性思维的提高没有多大的帮助.本文将从初等数学的角度解法出发,根
The serial formulas of solving the series by the sequence recursion formula is one of the hottest entrances of the college entrance examination in recent years. Especially for the first-order fractional recursive formulas of the general formula, it is also a major difficulty in the college entrance examination Appear.Teachers in the teaching process provides more is the use of higher mathematics fixed point principle, by solving the eigenvalue equation to solve the general formula.Although this method is simple and quick, to get higher in the examination of students The score plays a very good role.However, the students in the usual learning abstractive reasoning ability, logical reasoning ability, constructive thinking is not much help.This paper will start from the perspective of elementary mathematics solution, the root