几何画板在三角形三心教学中的应用研究
Research on the Application of Geometric Drawing Board in the Teaching of Three Centers of a Triangle

《义务教育课程方案和课程标准(2022年版)》在价值取向、课程目标、课程结构、教与学的方式以及课程实施过程等方面进行了详细的阐述，它以学生发展为本，着眼于学生未来国民素质的培养，要求课程要以三维目标整合发展素养，采用复合型课程结构和开放、完整的教学结构过程，同时强调教学互动和学生自主学习自在发展的方式。随着信息技术在教育领域的广泛应用，几何画板作为一种动态数学软件，为数学教学提供了新的思路和方法。本文以几何画板在三角形三心(重心、外心、内心)教学中的应用为例，探讨其在激发学生学习兴趣、促进学生对几何概念理解、培养学生探究能力等方面的作用。通过教学实践案例分析，总结几何画板在三角形三心教学中的应用策略，并提出相应的教学建议，以期为初中数学教学提供有益的参考。
The “Compulsory Education Curriculum Plan and Curriculum Standards (2022 Edition)” provides detailed explanations in terms of value orientation, curriculum objectives, curriculum structure, teaching and learning methods, and curriculum implementation process. It is student-centered and focuses on the cultivation of students’ future national qualities. It requires the curriculum to integrate and develop literacy with three-dimensional goals, adopt a composite curriculum structure and an open and complete teaching structure process, and emphasize teaching interaction and students’ self-directed learning and free development. With the widespread application of information technology in the field of education, the geometric drawing board, as a dynamic mathematical software, provides new ideas and methods for mathematics teaching. This article takes the application of the geometric drawing board in the teaching of three centers of a triangle (center of gravity, outer center, inner center) as an example to explore its role in stimulating students’ interest in learning, promoting their understanding of geometric concepts, and cultivating their exploration ability. Through the analysis of teaching practice cases, this paper summarizes the application strategies of geometric drawing boards in the teaching of three centers of a triangle, and puts forward corresponding teaching suggestions, in order to provide useful references for middle school mathematics teaching.