<p>A generalized 2 × <i>n</i> Fan circuit network model was considered, which contains three independent resistive elements. This is a new problem that has not been studied before. The research work in this paper has achieved new progress. By using the recurse-transformation method (RT-V) based on node voltage as the parameter and strict theoretical calculation, the analytical expression of the voltage function of any node has been derived, and the analytical expression of the equivalent resistance between any nodes has been given. The analytical formula of equivalent resistance under special circumstances was further discussed in this article, to verify the correctness of the theoretical results. The research results of this paper can provide new theoretical basis for related applied research and its interdisciplinary simulation research.</p>