理论力学点的合成运动体系教学探索及实践

Teaching exploration and practice on system of composite motion of points in theoretical mechanics

为降低理论力学点的合成运动学习难度,对其教学方法进行了探索和实践.基于高等数学的有关概念和定理,分别采用极限法和导数法解析了点的合成运动的速度合成定理及加速度合成定理,首次提出了牵连导数的概念,并在教学实践中检验了两种方法的适用性.

In order to reduce the difficulty of learning composite motion of point in theoretical mechanics, this paper carries out exploration and practice. Based on related concepts and theorems of higher mathematics, this paper analyzes speed synthesis theorem and acceleration synthesis theorem of composite motion of points using methods of limit and derivative, puts forward the concept of implicated derivative, and tests the applicability of the methods in teaching practice.