高中生三角函数解题中典型错误的分析

Analysis on the Typical Mistakes in Trigonometric Function Solving for Senior High School Students

高中生学习数学要经历从具体形象思维到抽象概括思维的过渡阶段,这个阶段贯穿于高中数学学习的全过程.其中,三角函数的学习更抽象,性质方面涉及的知识比较多,并与其他内容结合性较强,容易出现各种各样的错误.本文分别从概念、性质、图像、综合应用4个方面列举出三角函数的出错类型,旨在提高教师对学生三角函数错题的认知、三角函数习题教学的效率.

High students must go through the transition period from the specific image thinking to abstract theory thinking in mathematics learning,which will run through the integrated process of mathematics studying in high school.The study of trigonometric functions are more abstract,and its nature has been referred to extensive content of knowledge.At the same time,there is a strong correlation between the trigonometric functions and other mathematics knowledge.Therefore,it increases the possibility that students make some mistakes during the learning process of trigonometric functions.This paper lists the mistake types related to trigonometric functions from concept,nature,image,and comprehensive application.The purpose is to arise an attention for teacher to increase their awareness of the varied types of trigonometric function mistakes and to improve the job efficiency of teaching on the trigonometric function exercises.