数学教育中物理练习的一种随机方法
A stochastic approach in physics exercises of mathematics education
AI总结：
本文提出在数学教育的物理练习中通过对部分输入随机化引入随机观点，使用与确定性方法相同的系统模型，通过分析抛体运动和静力学练习中随机变量的概率分布等统计量，帮助师生理解随机力学基本概念。
摘要：
我们提出了一种将随机观点纳入数学教育中物理练习的方法。该方法的核心是对部分输入进行随机化，所使用的系统模型与确定性方法中使用的模型并无不同。我们考察了抛体运动理论和静力学中的练习。随机模型的输出为随机变量，我们通常确定其概率分布、期望值、方差和相对标准差，并计算与之相关的一些事件的概率。熟悉基础概率论和力学的师生可能会发现这些练习有助于理解随机力学的一些基本概念。
英文摘要：
We present a method for incorporating a stochastic point of view into physics exercises of mathematics education. The core of our method is the randomization of some inputs, the system model used does not differ from what we would use in the deterministic approach. We consider exercises from the theory of projectile motion and statics. The outputs of stochastic models are random variables, and we usually determine their probability distributions, expected values, variances, and relative standard deviations, and the probabilities of some events related to them are also calculated. Students and teachers familiar with elementary probability theory and mechanics may find these exercises useful for understanding some basic concepts of stochastic mechanics.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
