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一、教材分析本节内容是人教版A版数学必修4第一章第五节《函数y=Asin(ωx+φ)的图象》.它是在学习了正弦函数的图象和性质的基础上,对正弦函数图象的深化和拓展.通过学习y=Asin(ωx+φ)与y=sinx的图象间的变换关系,从而揭示图象变换的内在联系,通过向学生展示观察归纳类比等数学方法,使学生掌握函数图象变换综合应用的基础.二、学情分析学生已经学习了y=sinx的图象和五点作图法,并且具有了一定的画图能力,但是学生对于ω、φ对图象带来的影响在理解上有一定的难度.为此让学生通过动手画图,在实际的操作过程中体会并发现对应变化点的坐标之间的联系,从而理解变
First, the textbook analysis This section is the PEP Edition A mathematical compulsory 4 Chapter I, Section V “function y = Asin (ωx + φ) image.” It is learning the sine function of the image and nature of Based on the deepening and expansion of the sine function image.Through studying the transformation relationship between y = Asin (ωx + φ) and y = sinx images, revealing the inherent relationship between the image transformation, through the students to observe the induction Analogy and other mathematical methods to enable students to master the basis of the comprehensive application of the function image transformation.Second, the analysis of the situation Students have learned y = sinx image and five point mapping method, and has a certain drawing ability, but the students for ω, φ on the impact of the image in the understanding of a certain degree of difficulty.To this end let students draw by hand, in the actual operation of the process of experience and found that the corresponding changes in the coordinates of the link between the point of view to understand the change