梅涅劳斯定理在高中数学解题中的应用  

Application of Menelaus’ Theorem to High School Math Problem Solving

作　　者：朱宇萌 彭阳 邵贵明 

机构地区：[1]黄冈师范学院数学与统计学院,湖北 黄冈

出　　处：《创新教育研究》2024年第10期318-328,共11页Creative Education Studies

摘　　要：高中数学这门课程作为普通高中必学的重要课程,也是高考的重要科目,近年来,高考对学生各方面综合能力的考査形式也是越来越多样化。所以学生必须熟练掌握知识点,在有限的时间中找到解决题目地更好办法。学生地学取决于教师的教,只有当教师居高临下地处理教法上的问题时,学生才能深入浅出地掌握知识点。梅涅劳斯定理在初等几何和近似几何中研究点的共线问题做出了重要贡献,梅涅劳斯定理的应用可以简化常规解题过程,化繁为简,帮助学生节省做题时间。本研究着重探讨梅涅劳斯定理在高中数学解题中的应用,希望更好地服务数学教育。As an important course that must be learned in ordinary high schools, high school mathematics is also an important subject of the college entrance examination. Therefore, students must be proficient in the knowledge points and find better ways to solve the problems in the limited time. Students’ learning depends on the teacher’s teaching, and only when the teacher condescendingly deals with the problems of the teaching method, can the students grasp the knowledge points in simple terms. Menelaus’s theorem has made an important contribution to the study of the collinear problem of points in elementary geometry and modern geometry, and the application of Menelaus’s theorem can simplify the process of solving conventional problems, simplify the complex, and help students save time in solving problems. This study focuses on the application of Menelaus’s theorem in high school mathematics problem solving, hoping to better serve mathematics education.

关 键 词：梅涅劳斯定理 高中数学 应用 

分 类 号：G63[文化科学—教育学]