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三角函数是函数理论的重要组成部分,它不仅具备一般函数的特点:概念抽象、表示高度形式化、内容繁多、渗透的数学思想丰富、与其他数学知识联系紧密,而且还具有自身所独有的特点,如公式众多、变换灵活等,因此需要记忆和理解的东西也很多。不少同学觉得这部分内容掌握起来比较困难,原因就在于没有抓住三角函数的本质特征,没有体会到它的函数思想。笔者现对同学们学习三角函数时的五种症状进行分析,有针对性地提出解三角函数题的突破方法。
The trigonometric function is an important part of the function theory. It not only possesses the characteristics of a general function: concept abstraction, high degree of formalization, extensive content, rich mathematical thinking, and close connection with other mathematical knowledge, but also has its own unique Features, such as numerous formulas, flexible transformations, etc., therefore, many things need to be memorized and understood. Many students feel that this part of the content is difficult to grasp, the reason is that it does not grasp the essential features of the trigonometric function, did not appreciate its function. The author now analyzes the five symptoms of students learning trigonometric functions, and proposes breakthrough methods for solving trigonometric functions.