辽宁省大连市2016年中考一模测试题,其中数学试卷第25题是一道以材料阅读形式出现的几何证明题,很多考生由于不能深刻挖掘材料的本质,而对第(3)问束手无策。近日,笔者对该题进行了研究和教学,颇有收获,现将探究过程和所得的几种解题思路呈现出来,与同行分享。1试题呈现阅读下面材料:小明遇到这样一个问题:如图1,△ABC中,∠A=90°,∠B=30°,点D,E分别在AB,BC上,且 In 2016, Liaoning Province, Dalian City, a middle school test questions, of which Mathematics Question Paper 25 is a form of proof material in the form of proof that many candidates because they can not dig deep into the nature of the material, and (3) asked helpless. Recently, I conducted research and teaching on the subject, quite a gain, now explore the process and the proceeds of several problem-solving ideas presented to share with their peers. 1 questions presented reading the following materials: Xiao-ming encountered such a problem: Figure 1, △ ABC, ∠A = 90 °, ∠B = 30 °, points D, E were AB, BC, and