几何画板与动态型中考题.doc

中文摘要 随着几何画板在数学解题上的广泛应用，学生在理解动态型题目过程中能轻松将抽象的数学语言转化为具体图像表达，但学生只是看到教师的演示，缺少自己动手操作的过程。本文以全国各省市近三年典型动态型中考试题为例，把题目主要分为旋转、翻折、平移三大类。借助几何画板制作出相应的解题课件，师生能亲自动手操作，从而更好地分析这三类变换的解题特点。本文结合几何画板课件，展现完整的探究过程，让师生在动态中体验这三类变换的变与不变，获得清晰的解题思路。并记录了详细的课件制作步骤，图文并茂，可作为简易教程供教师参考。 关键词 ：旋转，平移，翻折，几何画板，中考题，动态展示，简易教程 ABSTRACT With the Geometers Sketchpad in mathematics problem solving on a wide range of applications, the students can easily translate the abstract mathematical language into specific image expression in order to understand the dynamic subject process. But the students just to see the teachers demonstration with the lack of their own operation process. In this paper as the various provinces and cities nationwide the typical dynamic type senior high school entrance examination questions in recent three years for example, the subject is mainly divided into rotation, folding, translation .Using geometric sketchpad to produce corresponding solving courseware, teachers and students can hands-on operation, thereby better analys these three kinds of transform exercises. In this paper the Geometers Sketchpad courseware displays a full investigation process, making teachers and students experience the changed and unchanged of this three kind of transformations in a dynamic type and get a clear thinking. This paper record the details of the steps of making courseware illustrately. And it can be used as a simple tutorial for teachers. Key words : rotation, translation, folding, the Geometers Sketchpad, senior high school entrance examination problem, dynamic display, simple tutorial 目录 1．引言 4 2.翻折类问题 4 2.1 例1（2009年鄂州市） 4 2.1.1 动态体现 5 2.1.2 探究过程展现 5 2.1.3关键制作步骤： 7 2.1.4 满分解答 10 2.2 例2（2009年福州市） 12 2.2.1 动态体现 12 2.2.2 探究过程展现 13 2.2.3 关键制作步骤 17 2.2.4 满分解答 24 3旋转类问题 26 3.1 例3（2009年山东德州） 27 3.1.1动态体现 27 3.1.2 探究过程展现 27 3.1.3 课件制作步骤要点 30 3.1.4 满分解答 34 3.2 例4（2010湖南常德市） 35 3.2.1动态体现 35 3.2.2探究过程展现 35 3.2.3课件制作步骤要点 38 3.2.4 满分解答 42 4．平移类问题 44 4.1 例5(2010四川眉山) 44 4.1.1 动态体验 45 4.1.2 探究过程展现 45 4.1.