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在给定区间内已知三角函数值求角的问题一直以来都是中职教学中的一个难点,为了应对这一考查,教师一般会利用三角函数的图象,使用数形结合思维解决此问题,此类做法一直以来可以说收效甚微。中职生现阶段存在的问题主要有三点:(1)学生数学基础薄弱;(2)逻辑思维能力弱;(3)不会使用数形结合思想。这就是为何高中版数形结合法处理给定区间内已知三角函数值求角问题不适合中职生的原因。针对上述问题,笔者如下设计
The problem of knowing the angle of the trigonometric function in a given interval has always been a difficulty in the teaching of secondary vocational schools. In order to cope with this examination, teachers generally use the images of trigonometric functions to solve this problem using the combination of numbers and shapes. This kind of practice has always been said to have little effect. There are three main problems existing in the current stage of secondary vocational students: (1) students have a weak mathematics foundation; (2) they have a weak logical thinking ability; and (3) they do not use a combination of number and shape ideas. This is why the high school version number combination method deals with the problem that the angle of the known trigonometric function in a given interval is not suitable for secondary vocational students. In response to the above problems, the author designed the following