摘要
研究了如何借助几何画板软件来模拟数学分析中的近似计算,如割圆术、微分近似、泰勒多项式、方程近似求根、定积分近似计算等.采取的方法主要包括几何画板提供的迭代、深度迭代等功能.结果表明,几何画板能方便地处理这些近似计算问题,画出的图像形象直观,容易理解,而且通过改变迭代的深度还能观察"以有限逼近无限"的渐近效果.
The Geometer＇s Sketchpad（GSP） software was used to simulate the approximate solu- tion of equations, Taylor series, numerical integration and other approximate calculation in math- ematical analysis. It was found that GSP could easily deal with these approximate calculations by taking advantage of the iteration and depth iteration function; the effect of ＂a limited asymptotic approximation unlimited＂ was visual by changing the depth of the iteration and easy to understand.
出处
《淮海工学院学报（自然科学版）》
CAS
2012年第4期14-17,共4页
Journal of Huaihai Institute of Technology:Natural Sciences Edition
关键词
几何画板
迭代
深度迭代
近似计算
Geometer＇s Sketchpad
iteration
depth iteration
approximation calculation
