图层式思维在点的合成运动教学中的应用初探

Application of layer thinking in the teaching of composite motion of points

点的合成运动不仅是理论力学运动学部分的重难点内容,也是工程应用领域相关技术人员应掌握的关键理论知识。本文尝试将图层式思维引入到点的合成运动教学过程中,通过"拆分—重组—叠加"三步分析流程,将绝对运动、相对运动与牵连运动形象具体地呈现出来,便于学生准确快速地确定动点的绝对、相对、牵连速度与加速度,这一思维方式有助于学生对该部分内容的理解和掌握。

The composite motion of points is not only a difficult content in theoretical mechanics, but also a key knowledge for technical staffs in engineering fields. In this paper, layer thinking is applied in the teaching process of composite motion of points. Three steps composed of splitting, regrouping and overlapping are designed to distinguish the absolute motion, relative motion and transport motion of moving structures in detail. This thinking mode can guide students to identify the corresponding velocities and accelerated velocities more quickly, which is helpful for them to understand and master this part of knowledge.