文档介绍：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》是一个适用于几何(平面几何,解析几何,射影几何,立体几何)、部分物理、天文教学的专业学科优秀平台软件,它能辅助教师在教学中使用现代化教育技术并进行教学试验,也可以帮助学生在实际操作中把握学科的内在实质,培养其观察能力,问题解决能力,并发展思维能力。它代表了当代专业工具平台类教学软件的发展方向。
在学习了《几何画板》之后,我利用有关知识制作了三大类数学课件。:——三角函数在物理学中的应用(用动态效果演示)。这三大类课件在教学上都有很重要的应用。
全文由三部分组成:第一部分:几何画板课件制作的选题原则。第二部分:详细介绍了我所选择制作的课件及其详细制作过程。第三部分:我学习及应用几何画板的体会。
关键词:几何画板、三角函数、图像、变换、旋转、反射、缩放、平移、标记、动画、追踪、轨迹、隐藏。
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: diagram variance of trigonometric function. function of self-defined coordinate system. part----the application of trigonometric function in physics (demonstrating with trends). These three types of facilities have important application in mathematics.
This paper posed of three parts:
In the first part, some fundamental about what kinds of problem we can make the courseware by the Geometer’s Sketchpad