用几何画板辅助函数列一致收敛性问题的研究

Discussion of Uniformly Convergence of Functional Series by the Geometer's Sketchpad

利用几何画板,通过描绘函数列的图像和使用动画功能,可以使函数列一致收敛问题由抽象到具体,由现象到本质,由局部到全体,化抽象为直观,化难为易,帮助我们充分理解函数列一致收敛的思想,牢固掌握函数列一致收敛性的判别方法,深刻理解函数列在不同区间上所体现的性质。

By using the geometer＇s sketchpad, and describing functional series＇ figure and utilizing animation function, the problem of uniformly convergence of functional series becomes from abstract to concrete, from phenomenon to essence, from part to all, and it was turned from abstract into direct - viewing, and transferred from difficulty to ease. All these help us fully understand the thought of uniformly convergence of functional series, to grasp its distinction method, to profound understanding the properties of functional series in different sector region.