基于GeoGebra的高中数学可视化教学——以“正弦定理”为例

Visual Teaching of High School Mathematics Based on GeoGebra—Taking “Law of Sines” as an Example

摘要: 本文以“正弦定理”为例，探讨GeoGebra在高中数学可视化教学中的应用策略。借助动态软件演示“比值恒定”的外接圆几何本质，针对“解的个数”这一教学难点设计问题串，并提出从验证到探究、代数与几何视图整合、难点可视化转化三条教学策略。

Abstract: This article takes the “law of sines” as an example to explore the application strategies of GeoGebra in visual teaching of high school mathematics. By demonstrating the geometric essence of the “constant ratio” of the circumscribed circle with dynamic software, we design a series of questions targeting the teaching difficulty of “the number of solutions”, and propose three teaching strategies: from verification to exploration, integration of algebraic and geometric views, and visualization transformation of difficulties.