在《普通高中数学课程标准（2017年版2020年修订）》中明确提出，要重视信息技术在数学课堂中的应用，促进信息技术与数学课堂的融合，提高学生学习数学的积极性。而 GeoGebra 是一款将几何和代数结合在一起的软件，近年其出现在高中数学课堂的频率越来越高。而圆锥曲线中的双曲线是高中数学的一大难点，该内容计算量大，且较为抽象，对于初学者来说比较困难。本文探究如何利用 GeoGebra 来辅佐圆锥曲线双曲线这一板块内容的教学。

本文先对 GeoGebra 的研究现状与双曲线的教法进行简单分析，后基于建构主义理论，研究 GeoGebra 与双曲线之间的的探究式教学，以双曲线的定义这节课为例，并予以实践，通过对学生的访谈和课堂的反馈，得到以下结论：（1）GeoGebra 对于帮助学生理解双曲线的定义有着显著的帮助；（2）GeoGebra 能够很好的渗透数形结合的数学思想；（3）GeoGebra 能够激发学生的学习兴趣，提高学生的数学探究能力。

The new curriculum standard of 2017 clearly states that attention should be paid to the application of information technology in mathematics classrooms, the integration of information technology and mathematics classrooms should be promoted, and students' enthusiasm for learning mathematics should be improved. GeoGebra is a software that combines geometry and algebra. In recent years, it has appeared more and more frequently in high school mathematics classes. Hyperbolas in conic sections are a major difficulty in high school mathematics. This content requires a large amount of calculation and is relatively abstract, making it difficult for beginners. This article explores how to use GeoGebra to assist the teaching of conic sections and hyperbolas.

This article first conducts a simple analysis of the current research status of GeoGebra and the teaching method of hyperbola. Then, based on constructivism theory, it studies the inquiry-based teaching between GeoGebra and hyperbola and puts it into practice. Through interviews with students and classroom feedback, the following conclusions are drawn: (1) GeoGebra is significantly helpful in helping students understand the definition of hyperbola; (2) GeoGebra can well penetrate the mathematical idea of ​​combining numbers and shapes; (3) GeoGebra can stimulate students' interest in learning and improve their Students’ mathematical inquiry abilities.