“探究性学习”是初中数学课程新增加的内容,为适应当前课程改革的形势,探究“存在性”试题也一枝独秀经常出现在中考题中.这类问题综合性强、难度较大,解答它们的基本思路是先假设存在,然后由此出发进行推理、判断.本文仅就几何中“存在性”问题举例介绍,供参考.例1如图1,以Rt△ABC的 “Inquiry learning” is a new addition to the junior high school mathematics curriculum. In order to adapt to the current situation of the curriculum reform, the “existence” question is also often seen in the examination questions. This type of problem is comprehensive and difficult. The basic idea of ​​answering them is to first assume the existence, and then proceed from this reasoning and judgment. This article only presents an example of the “existence” problem in geometry for reference. Example 1 is shown in Fig. 1, with Rt △ ABC.