本文对有理函数差值问题作一个大概的介绍，其中主要着重于有理差值数值方法的介绍和运用，包含有理差值背景、存在性的论述。 叙述有理插值的一些概念和定理，及有理插值的存在性和唯一性。详细介绍有理插值的数值方法。-Based on rational function difference make a general introduction, which mainly focuses on the rational difference numerical method is introduced and used, including rational difference background, existence discuss, specific arrangements are as follows. The paper describes some concepts and theorems of the rational interpolation, rational interpolation and its existence. It introduces the rational interpolation numerical method.