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在进行三角函数周期性教学时,学员提出了一些似易实难的问题。另一方面,周期函数的内容也是长期来中学数学教学中的难点之一。所以,这部分内容大有探讨的必要。然而,“初等三角复习与研究”这门课的时数有限,关于三角函数的周期性又不能占去太多的时间。针对这种情况,根据本人的实践,本文先讨论一般的周期函数,进而讨论三角函数的周期性。不当之处,望大家指正。
During the periodic teaching of trigonometric functions, students put forward some problems that are difficult to be realistic. On the other hand, the content of the periodic function is also one of the difficulties in the middle school mathematics teaching for a long time. Therefore, this part of the content of a great discussion. However, the number of hours for the course “Elementary Triangle Review and Research” is limited, and the periodicity of trigonometric functions can not take up too much time. In view of this situation, according to my own practice, this article first discusses the general periodic function, and then discusses the periodicity of trigonometric functions. Improper, hope you correct me.