浙教版义务教科书八年级上册,第64页的一道课后作业题引起了笔者的关注,它是“等腰三角形的判定”一节教材作业题的第2题,由已知“角平分”和“平行”条件,求证“等腰”.笔者发现在一个图形中“角平分”“平行”“等腰”三者中只要已知其中的两者就可以推出第三者,它在整个初中几何中应用广泛,本文笔者围绕此题来提炼模型并列举它的广泛应用. Zhejiang Education Voluntary Yearbook on the eighth grade, the first 64 pages of homework assignments aroused the author’s attention, it is “isosceles triangle decision ” a textbook assignment question 2, known by the “ Angle bisector ”and“ parallel ”conditions, verify “ isosceles ”.I found in a graph “ angle bisect ”“ parallel ”“ isosceles ”as long as one of them is known The third one can be introduced. It is widely used in the entire junior middle school geometry. In this paper, the authors refine the model around this problem and list its wide application.