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分类讨论是解决问题的一种逻辑方法,同时也是一种重要的数学思想方法之一;分类讨论就是依据一定的标准,对问题进行分类求解,然后综合出问题的答案;它在训练人的思维的条理性和概括性中起着至关重要的作用.而三角函数又是高中数学的重要内容,因此,本文通过实例主要探讨分类讨论的思想在三角函数中的应用.一、根据整数的不同取值进行分类三角函数中经常会遇到与整数参数k有关的问题,而根据整数的不同取值会导致不同结果,这就需要对整数k的取值进行分类讨论.
Classified discussion is a logical way to solve the problem, but also one of the important mathematical ideas and methods; classified discussion is based on certain criteria, the problem classification, and then integrated the answer to the problem; it is in training people’s thinking And the trigonometric function is an important part of high school mathematics.Therefore, this article mainly discusses the application of the classified discussion in trigonometric functions.First, according to the different of integers The classification of values The trigonometric functions often encounter the problems associated with the integer parameter k, whereas the different values depending on the integer result in different results, which requires a discussion of the values of the integer k.