2004年全国初中数学联赛中有两道几何题,证题过程中添的辅助线较多,其中二试的第二题用构造平行四边形的方法解题,很有特色,只是这种方法不易想到.本文从另外的角度思考,解这两道题. In 2004, there were two geometric questions in the National Junior High School Mathematical League. There were many auxiliary lines added in the course of the test. The second question of the second test was solved by constructing parallelograms. It was very characteristic, but it was not easy to think of this method. This article considers from another angle and solves these two questions.