巧用三角函数解平面向量的数量积问题  

Skillfully Applying Trigonometric Functions to Solve the Scalar Product Problem of Plane Vectors

作　　者：何秀 

机构地区：[1]福建师范大学数学与统计学院,福建 福州

出　　处：《教育进展》2025年第2期979-987,共9页Advances in Education

摘　　要：通过对高考数学试卷中涉及平面向量数量积问题的解题分析,本文总结了几个运用三角函数解决此类问题的常见方法,同时,深入探讨了高考中平面向量数量积问题的命题意图,并据此提出了相应的教学建议。Through the analysis of solving the problem of the product of plane vectors in the mathematics test paper of the college entrance examination, this article summarizes several common methods of using trigonometric functions to solve such problems. At the same time, it deeply explores the proposition intention of the product of plane vectors in the college entrance examination and proposes corresponding teaching suggestions based on this.

关 键 词：向量的数量积 三角函数 教学建议 核心素养 

分 类 号：G63[文化科学—教育学]