论文部分内容阅读
1.问题的提出在中专及中学物理课本中,用冲击摆测定弹丸速度实验的数据处理问题,通常有两种方法:一种是由直接测得的角度值先求平均值,再根据角度与速度的函数关系间接地计算速度值;再一种是把直接测得的每一个角度值代入函数式中求出一系列的速度值,然后再求其平均值。这两种方法是否一样呢?这是学生们有时要提出的问题,也是教师们通常争论不休的话题。下面笔者从概率的角度试图解答这一问题,以供各位同仁们讨论。
1. Proposal of the problem In the physics textbooks of technical secondary schools and middle schools, the data processing problem of projectile velocity experiment is determined by impact pendulum. There are usually two methods: one is to calculate the angle value directly from the first, then according to the angle The speed function is indirectly calculated as a function of speed; the second is to substitute each of the directly measured angle values into a functional formula to find a series of speed values, and then calculate the average value. Are these two methods the same? This is a problem that students sometimes ask, and it is also a subject that teachers often debate. Below, the author tries to answer this question from the perspective of probability for discussion among colleagues.