文 [1 ]证明函数y=(ax+c) + bx+d(ab≠0 ,c、d ∈R)的图象是双曲线中用到了行列式和函数极限等知识 ,文 [2 ]的证明做了改进 ,但由于要用到图象的旋转等复数方面的知识 ,对于不熟悉复数的同学来说 ,仍然难以理解 .本文用配方法给出一个证明 ,所需的知识很浅 ,同学们容易接受 . The paper [1] proves that the image of the function y=(ax+c)+bx+d(ab≠0,c,d∈R) is a knowledge of the determinant and function limit used in the hyperbola,[2] The proof has been improved, but due to the use of complex knowledge such as the rotation of the image, it is still difficult to understand for students who are not familiar with plural numbers. This paper uses the matching method to give a proof, and the required knowledge is very shallow. We are easy to accept.