看了数学通报2004年第3期叶运佳先生“斐数列{Fn}浅探”一文,颇受启发.但与此同时,又有意犹未尽的感觉.本文介绍斐波那契数列和其他知识的联系.首先,除了传统的利用特征方程求其通解的方法以外,我们还可以使用矩阵的办法.具体如下:由Fn+1=Fn+Fn-1,Fn=Fn,得下面矩阵表示Fn+1Fn=1 Having read the article “The Fibonacci{Fn} shallow exploration” by Mr. Ye Yunjia in the third issue of 2004, it was quite inspired. But at the same time, there was a sense of inexhaustibility. This article introduces the connection between the Fibonacci sequence and other knowledge. First of all, in addition to the traditional method of solving its general solution using the characteristic equations, we can also use the matrix approach. The details are as follows: From Fn+1=Fn+Fn-1, Fn=Fn, the following matrix is ​​obtained: Fn+1Fn=1