GeoGebra环境下问题驱动式教学，助力数学问题解决——以2023年高考卷圆锥曲线试题为例

Problem-Driven Teaching in GeoGebra Environment, Helping to Solve Mathematical Problems—Taking the Conic Sections Test Questions of the 2023 College Entrance Examination Paper as an Example

摘要: 信息技术与数学课程相融合有利于发展学生数形结合能力，帮助学生建立模型思想。文章是以2023年高考卷的两道圆锥曲线试题为例，在数学问题驱动下，结合GeoGebra软件引导和启发学生对椭圆试题进行“提出、发现问题，分析、解决问题”，启发思考，得出结果，并在此基础上对双曲线试题进一步研究，即“发展问题”，为学生以后解决同类试题提供思路，从而在试题类教学中通过“四能”落实和发展学生的学科核心素养。

Abstract: The integration of information technology and mathematics curriculum is conducive to the development of students’ ability to combine numbers and shapes, and helps students to establish model ideas. This article takes two conic sections test questions of the 2023 college entrance examination paper as an example, driven by mathematical problems, combined with GeoGebra software to guide and inspire students to “put forward, find problems, analyze and solve problems”, enlighten thinking and get results. On this basis, we further study the hyperbolic questions, that is, “development problems”. The purpose of this paper is to provide ideas for students to solve similar examination questions in the future, so as to implement and develop students’ subject core literacy through “four abilities” in the teaching of examination questions.