效电阻) ，取得了理论和方法上的创新. 文章以支路电流为变量应用基尔霍夫定律建立矩阵方程模型以及边界条件方程模

型，通过矩阵变换研究矩阵差分方程的通解与特解，获得了任意2×n 阶Fan 电阻网络的支路电流公式，导出了2×n 阶Fan 网

络任意节点的电压公式，同时获得了任意2 节点间的等效电阻公式，并分析与讨论了结论的特殊情形.

the branch current，voltage of any node，and equivalent resistance) of an arbitrary 2×n Fan resistor network

by the Recursion-Transform ( RT) method. In this paper，the matrix equation model and the boundary condition equation

model are established by using the branch current as the variable in terms of applying Kirchhoff’s law. We

study the general solution and special solution of the matrix equation by the matrix transform，thus the branch currents

　　of the 2×n Fan network are obtained，and derived the voltage formula of arbitrary node，at the same time，the

　　equivalent resistance formula between any two nodes is obtained as well. The special situation of the conclusion is

　　analyzed and discussed.