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鉴于现行高中数学教材中,探索正弦型函数的图像变换时缺乏实际背景,学生理解起来比较抽象.文章以水车模型为背景,使学生能自行推导出正弦型函数的解析式,并借助实际背景,深刻感悟各参数对函数图像的影响,不仅给出了教学设计,还提及了编写教学设计的最初设想、遇到的困难,以及编写后的反思.
In view of the current high school mathematics teaching materials, the students lack the actual background to explore the image transformation of sinusoidal function, which is quite abstract for students to understand.According to the waterwheel model, students can deduce the analytical form of sinusoidal function by themselves and make use of the actual background , Profoundly comprehend the influence of each parameter on the function image, not only given the instructional design, but also mentioned the initial idea of writing instructional design, the difficulties encountered and the reflection after the writing.