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用数形结合法求解连续型随机变量的函数分布问题

Solving the Distribution Problem of Functions of Continuous Random Variables by Using Method of Combination of Figure and Chart

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【作者】 杨玲玲王超

【Author】 YANG Ling-ling;WANG Chao;Department of Mathematics,Tianjin University;College of Software,Nankai University;

【机构】 天津大学数学系南开大学软件学院

【摘要】 针对概率统计课程教学中的关于"连续型随机变量函数的分布"这类难点,利用数形结合的思想,巧妙的通过一副图形完全涵盖了这一类问题所需的概率知识点,且帮助了学生后续积分的计算.表明数形结合法是一个值得在概率统计教学中推广的好方法.

【Abstract】 This paper uses the thought of combination of figure and chart to solve difficult problems as "the distribution of functions of continuous random variables" in probability and statistics course.By this method,a figure covering all the knowledge point required for this class of problems is used smartly.It could also help the students to do subsequent integral calculation.This paper shows that the method of combination of figure and chart is a good idea and worth popularizing in the teaching of probability and statistics course.

【基金】 天津大学教改项目(11JYYB047);南开大学教改项目(Z126005)
  • 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2014年11期
  • 【分类号】O211.5-4;G642
  • 【被引频次】9
  • 【下载频次】391
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