最速下降曲线实验

The Brachistochrone Curve Experiment

物理学是一门以实验为基础的学科。物理实验是科学实验的先驱,体现了大多数科学实验的共性,而实验教学则是培养学生的一个非常重要的环节,它不仅可以培养学生的基本实验技能和素养,还可以培养其科学思维和创新意识,提高学生的综合能力和创新能力。本文从理论模型出发,采用变分法推导出最速下降曲线的解并设计实验予以验证。

Physics is a subject based on experiment. Physics experiment is the pioneer of science experiments,which embodies the commonness of most scientific experiments. Experimental teaching is a very important part of cultivating students,which can not only cultivate the students＇ basic experiment skills and accomplishment,but also cultivate their scientific thinking and innovation consciousness and improve their comprehensive ability and innovation ability. In this paper,based on the theoretical model,we derive the solution of the brachistochrone curve by the variational method,and design an experiment to verify the result.