数形结合法在《概率论与数理统计》教学中的应用

The Application of Method of Combination of Figure and Chart in the Teaching of Probability Theory and Mathematical Statistics

摘要: 在《概率论与数理统计》课程的教学中，二维连续型随机变量的相关知识的教学是一个重要的内容，而其中边际密度以及两个随机变量和的密度函数的求解问题是重点和难点问题，本文利用数形结合的思想，用一幅坐标图轻松的解决了这个问题。结果表明数形结合法是一个有效的解决此类问题的方法。

Abstract: In the teaching of probability theory and mathematical statistics, the teaching of relevant knowledge of two-dimensional continuous random variables is an important content, in which, the solution of marginal density and the density function of the sum of two random variables is a key and difficult problem. In this paper, the combination of figure and chart which only use a pair of co-ordinates is proposed to solve this problem. The results show that the combination of figure and chart is an effective method to solve such problems.