基于MATLAB的"空间解析几何"教学案例研究
Case Studies of Space Analytical Geometry Teaching Based on MATLAB
杨梦云1
作者信息
- 1. 湖南第一师范学院 湖南长沙 410205
- 折叠
摘要
在"空间解析几何"课程教学过程中,常存在绘制空间曲线和曲面的困难和缺乏直观性的问题.以MATLAB为基础,从计算功能、绘图功能和动态可视化3个方面探讨了"空间解析几何"课程教学的案例.利用MATLAB的内置函数求解多个几何问题的数值解,以及绘制空间曲面和曲线.此外,通过动态可视化方法,直观地演示了二次曲面的平行截痕法,有助于学生更好地理解和感知二次曲面的形状和性质.旨在为教师和学生提供"空间解析几何"课程教学和学习的参考.
Abstract
In the teaching process of Space Analytic Geometry,difficulties and lack of intuitiveness often arise in drawing spatial curves and surfaces.In this paper,based on MATLAB,it explores cases in Space Analytic Geometry teaching from three aspects:computational functions,drawing capabilities,and dynamic visualization;It uses MATLAB's built-in functions to solve numerical solutions for multiple geometric problems,as well as to draw spa-tial curves and surfaces.Additionally,MATLAB's Dynamic Visualization methods are used to visually demonstrate the method of Cut-off Mark of quadratic surfaces.This approach aids students in better understanding and perceiv-ing the shapes and properties of quadratic surfaces.This paper aims to provide a reference for teachers and students in the teaching and learning of Space Analytic Geometry.
关键词
空间解析几何/MATLAB/二次曲面/平行截痕法Key words
Space Analytic Geometry/MATLAB/Quadratic Surfaces/Method of Cut-off Mark引用本文复制引用
基金项目
湖南省自然科学基金面上项目(2022)(2022JJ30549)
出版年
2024
NETL
NSTL
万方数据