(几何画板课件设计函数图象的变换12.docVIP

目 录 摘　要 3 Abstract 3 引　言 4 第一部分　课件的选择 4 第二部分　课件的制作 6 课件1的制作：函数图像的平移变换. 6 课件2的制作：函数图像的反射变换. 7 课件3的制作：函数图像的旋转变换. 8 课件4的制作：函数图像的放缩变换. 9 课件5的制作：柱面――M线. 10 课件6的制作：锥面. 11 第三部分　学习《几何画板》的体会 12 参考文献 12 摘　要 　　　《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． 本文讨论了用《几何画板》展示函数图像变换的有关问题．一般的课件只能做出函数的图像，而不能对函数图像进行变换，更不能演示变换的过程，《几何画板》也没有这些功能，本文的主要成果就在于《几何画板》中实现了轨迹、函数图像的变换以及图像变换的动态演示，并由此法制作了几个有关函数图像变换的课件． 全文由四个部分组成．引言部分简单介绍了《几何画板》这个软件极其在数学教学中的重要性．第一部分说明了课件的选择原则及我所选择的几个课件；第二部分详细介绍了这几个课件的制做过程；第三部分是我学习和使用《几何画板》的体会． 关键词：《几何画板》、函数图像变换、旋转、反射、缩放、平移、动画、轨迹、动态几何． Abstract The Geometer’s Sketchpad is an excellent platform. It is 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. This paper has discussed how to demonstrate transformation of function images by the Geometer’s Sketchpad. General coursewares can only make the image of function, and can not transform the image of function. And it can not demonstrate the course of transformation either. The Geometer’s Sketchpad does not have these functions also. The major accomplishment of this paper is that is two things can be done by the Geometer’s Sketchpad :one is transforming the locus and function images, the other is demonstrating the course of the transformation dynamically. And I made some coursewares about the transformation of function images by this method.． The paper is composed of four parts: In the introduction I introduce the Geometer’s Sketchpad and stress the necessity o