人工智能技术在“将军饮马”问题教学中的应用

The Application of Artificial Intelligence Technology in Teaching the “General’s Horse Watering” Problem

摘要: “将军饮马”问题是数学中经典的最短路径问题，涉及轴对称、平移和全等变换等核心几何概念。通过GeoGebra的动态演示功能，展示了三种常见的解题方法：对称、平移和全等变换，并结合具体例题进行讲解，以帮助学生更好地理解并解决此类问题。文章还探讨了人工智能在辅助教学中的应用，为信息技术与数学教学的深度融合提供了新的思路。

Abstract: The “General’s Horse Drinking” problem, a classic shortest path problem in mathematics, involves core geometric concepts such as axis symmetry, translation, and congruent transformations. Through the dynamic demonstration function of GeoGebra, three common problem-solving methods are demonstrated: symmetry, translation, and congruent transformations, and are explained with specific examples to help students better understand and solve such problems. The article also discusses the application of artificial intelligence in assisting teaching, providing new ideas for the deep integration of information technology and mathematics teaching.