几何画板在圆锥曲线中的应用

摘要在现代教育技术广泛应用的今天. 信息技术与数学学科课程的整合已经成为教育领域新课程改革背景下的重要研究课题之一. 数学作为一门独立的自然科学. 有它自身的特点、体系和规律. 而几何画板作为电子尺规. 是研究几何图形的关系、动态地观察几何图形运动状态、探索数学信息的有力工具. 该文主要从几何画板的教学优势出发. 在了解了几何画板在中学圆锥曲线教学中的应用意义以后, 叙述利用几何画板讲解圆锥曲线定义的过程. 通过一些教学实例来探究几何画板在解决圆锥曲线相关问题过程中的应用. 此外. 该文还通过访谈了解了利用几何画板辅助教学的现状并对师范院校如何在师范生培养中重视对实用教学软件的应用能力的培养提出了自己的看法.58255

In the modern educational technology widely used today, integrating information technology and mathematics curriculum has become an important research topic in the new curriculum reform in education. Mathematics as an independent science, it has its own characteristics, systems and law, but as Geometer's Sketchpad electronic ruler, is to study the relationship between geometry, dynamic observations of geometric motion, a powerful tool for exploring the mathematics of information. this article mainly from the teaching strengths Sketchpad in the understanding of the Geometer's Sketchpad in Secondary after conic teaching of meaning, narrative use of Geometer's Sketchpad conic explain the procedures defined by some teaching examples to explore the Geometer's Sketchpad application in solving issues related to the conic process. In addition, this paper also through interviews to understand the use of geometry Status Sketchpad assisted teaching and how teachers universities focus on teaching practical application ability cultivation software put forward their own views in normal students culture.

毕业论文关键词：几何画板；数学教学；圆锥曲线；应用

Keywords: Geometer Sketchpad；mathematics teaching；conic section；application

摘要 2

Abstract 2

引言 5

1 几何画板简介 5

1.1 什么是几何画板 5

1.2 几何画板的优点 5

1.2.1 制图快, 精度高 5

1.2.2 形象化, 动态化 5

1.2.3 操作易, 应用广 5

2 几何画板在中学圆锥曲线教学中的应用意义 5

2.1 激发学习兴趣, 提高课堂效率 5

2.2 数形结合, 突破教学重点、难点 6

2.3 掌握不变的几何规律 6

2.4 提高学生信息吸收率, 增加教学密度 6

2.5 培养学生自主学习的意识 6

3 利用几何画板探究圆锥曲线的定义 6

3.1 抛物线的第一定义与部分性质 6

3.1.1 抛物线的第一定义 6

3.1.2 制作过程 6

3.1.3 补充说明 7

3.2 双曲线的第一定义与部分性质 7

3.2.1 双曲线的第一定义几何画板在圆锥曲线中的应用:http://www.youerw.com/shuxue/lunwen_50666.html