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数学课本上没有讲有关三角函数图象对称性方面的知识,数学教学大纲未作要求,这个内容可以说是一个“细枝末节”的知识,但这个“细枝末节”的知识却成为近三年高考的一个热点.有关三角函数的对称性题目最早出现在高考试卷上是1998年全国卷理19题,原题如下:
There is no knowledge of mathematics textbooks about the symmetry of trigonometric functions. The mathematics syllabus does not require this. This content can be said to be a “minor” knowledge, but this “minority” knowledge has become nearly three. A hot spot of the college entrance examination. The first question about the symmetry of the trigonometric function appeared on the exam paper is the 19 questions of the national paper in 1998. The original questions are as follows: