(几何画板课件设计三角函数图像的变换和应用2.docVIP

三角函数图像的变换和应用 作者：于红伟 指导教师：刘胜利 首都师范大学数学系00级3班 1000500092 摘 要 The Geometer’s Sketchpad 是美国优秀的教育软件。它的中文名是《几何画板─21世纪的动态几何》，以下简称《几何画板》几何画板》Abstract The Geometer’s Sketchpad is an excellent America education software. It is well-known to be geometry drawing-board ─ the development geometry of 21 century in china , following abbreviation geometry drawing-board . geometry drawing-board applies to the teaching of geometry (plane geometry, analytic geometry, projection geometry and solid geometry), partial physics and this platform not only can help teachers use the modern educational technology in their teaching, but also can help students grasp the inwardness of science, and cultivate their ability of observation and solving question, and progressing their ideation. As far as it goes, the platform represents the developing direction of the educative tool software. After learning the Geometer’s Sketchpad, three types of mathematic facilities using concerned knowledge are made. This paper discusses the problem of the diagram variance and the appliance of trigonometric function by Geometer’s Sketchpad, mainly including: 1.simple diagram variance of trigonometric function. 2.trigonometric function of self-defined coordinate system. 3.created part----the application of trigonometric function in physics (demonstrating with trends). These three types of facilities have important application in mathematics. This paper is composed of three parts: In the first part, some fundamental about what kinds of problem we can make the courseware by the Geometer’s Sketchpad are described. In the second part, several of courseware, which I made particularly, and the course of making are introduced. In the last part, I relate the experience of study by using the Geometer’s Sketchpad are related. Keyword: The Geometer’s Sketchpad, trigonometric function，image, transform, reflect, zoom, translate, mark, animation, trail, track, hide. 目录 摘要…………………………………………………