摘要
以动态数学软件GeoGebra为平台,结合蒙特卡洛方法的随机采样原理与几何概率理论,设计了一种面向数学教学的交互式随机投点实验,通过将几何面积问题转化为概率计算问题实现π值的估算,采用交互式模拟实验动态调整参数直观呈现π值的逼近过程。
Based on the dynamic mathematics software GeoGebra,combined with the random sampling principle of Monte Carlo method and geometric probability theory,an interactive random point casting experiment for mathematics teaching is designed.The estimation ofπvalue is realized by transforming the geometric area problem into a probability calculation problem,and the approximation process ofπvalue is intuitively displayed by dynamically adjusting parameters through interactive simulation experiment.
作者
蒋维
JIANG Wei(Faculty of Mathematical Sciences,Luoyang Normal University,Luoyang,Henan 471022,China)