在对《几何画板》进行系统的学习之后，我利用有关知识制作了两大类综合的数学课件。主要包括：用动态效果展示圆锥曲线及截面的形成和两类立体图形的侧面展开过程。这两类课件在教学上都有很重要的应用。最新的《普通中学数学课程标准》中强调“教师应向学生展示平面截圆锥得到的椭圆的过程，使学生加深对圆锥曲线的理解，有条件的学校应充分发挥现代教育技术的作用，利用计算机演示平面截圆锥所得的圆锥曲线。”这表明圆锥曲线的教学在以往的教学过程中存在着很大的困难，由于以往教育技术的落后，无法生动直观的进行讲解。现在有了这个课件，我们就能达到既生动又直观的教学效果。第二类立体图形的侧面展开问题在以往的课件制作中都有所涉及，但制作方法都很繁琐。我所作课件的最大优势就在于利用了一个统一的方法进行课件制作，大大缩短了制作的时间，而且达到了很好的演示效果。
第一类课件：圆锥曲线及圆锥截面的形成................................................................. 5
第一部分：圆锥曲线的构造................................................................................................. 6
geometry, analytic geometry, projection geometry and solid geometry. It also applies to teaching of partial physics and astronomy. This platform not only can help teachers use the modern education technology in the course of teaching, but also can help students grasp the inwardness of science, and cultivate their ability of observation, solving question, and progressing their ideation. It represents the developing direction of the educative tool software.
After I learn the Geometer’s Sketchpad, I have made two kinds of comprehensive
mathematics course wares, mainly including: Demonstrate the development of cone curve and section and the sides of the two kinds of solid shape the course of spreading out. These two kinds of course wares have very important application on teaching. In "The newest ordinary middle school mathematics course standard ", it is emphasized that " teacher should demonstrate to student the plane section ellipse that cone gets, make
In the second part: The mathematics coursewares and its produce course that I select to make are introduced in detail.
In the last part: I relate the experience study by using the Geometer’s Sketchpad. Keywords: The Geometer’s Sketchpad, mark vector, ellipse, cone curve, cone section, locus tracing, side spread out picture
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。
第一部分：构造圆柱展开................................................................................................... 10
第二部分：构造棱柱展开................................................................................................... 10
demonstration effect.
The paper text is composed of three parts:
In the first part: I write some fundamental about what kinds of problem we can make the coursewares in the Geometer’s Sketchpad.
Abstract .............................................................................................................................. 3
引言............................................................................................................................... 4
参考文献........................................................................................................................... 15
Abstract
The Geometer' s Sketchpad is an excellent platform for teaching of geometry (plane
第三部分：构造圆锥、棱锥展开....................................................................................... 11
第四部分：构造圆台、棱台展开....................................................................................... 11
第一部分几何画板的选题原则................................................................................... 4
第二部分课件设计与制作........................................................................................... 5
引言
The Geometer’s Sketchpad是美国优秀的教育软件。由美国Nicholas Jackiw和Scott Steketee程序实现，Steven Rasmussen领导的Key Curriculum出版社出版。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》。它小巧玲珑，操作简单，是数学学习的有力助手。它可以说是我们的数学实验室，因为它能够有效地使数形结合，使我们在数学学习中既理解了数学结论，又得到了数学经验。
全文由三部分组成：
第一部分：《几何画板》课件制
第三部分：学习及应用《几何画板》的体会。
关键词：几何画板，标记向量，椭圆，圆锥曲线，圆锥截面，
轨迹，追踪，侧面展开图，
摘要............................................................................................................................... 1
第三部分学习几何画板的体会................................................................................. 12
致谢.............................................................................................................................. 14
第二部分：圆锥截面的构造................................................................................................. 8
第二类课件：立体图形的侧面展开............................................................................. 9
student deepen the understanding for cone curve, under certain condition schools should play the role of modern educational technology fully, using computer to demonstration incoming of cone curve from cone by the plane. It shows that the teaching of cone curve has great difficulty in former teaching course, just because that educating technology fall behind before, and it can not be active and visual to explain. Now, here are these course wares, we can reach active and visual teaching effect. The second kind of side spread out problem is concerned with in former lesson, but the method to produce is fussy. The biggest advantage of my lesson lies in the method that I have used a unification to carry out, so that the time to produce is shortened greatly, and has reached very good