黄金分割与斐波那契数列

Golden Section And Fibonacci Series

本文用迭代法和特征方程求数列通项公式等方法对黄金分割和斐波那契数列进行分析和比较, 引出这两个数学概念之间的关系,解决正整数范围离散变量的黄金分割问题。

Using iterative method and method of finding series' s general term formula by characteristic equation to analyse and compare golden section with Fibonacci series, the author deduces the relationship between these two mathematical concepts and how to solve the golden section problem of discrete variable in the range of positive integer.