摘要
在理论力学有心力的有关教学中，推导定理需要较复杂的高等数学知识，天体间作用和微观粒子作用等常用实例远离生活实际，学生难以建立物理情景，缺乏直观理解。利用Mathematica软件探讨质点运动规律，能直观、准确地展示质点在有心力下的运动轨迹，所建立的物理图象有助于学生对物理概念和规律的深入理解。本文通过平方反比引力下质点运动的轨道，开普勒定律及两体运动和任意幂有心力三个实例，探讨如何利用Mathematica辅助有心力的教学。
In the teaching of the central force, deduction theorem requires more complex higher mathematics knowledge, and the com- monly used examples of celestial bodies interaction and microscopical particles interaction are far from real life. So it is difficult for students to build physical scene and intuitively understand physics. Mathematica software is used to study particle movement rule and displays intuitive precisely the particle trajectories under central force intuitively and precisely. The physical image established helps the student to have a better understanding of the physical concepts and laws. Based on the inverse square of a particle＇s motion gravity orbit, Kepler＇s laws and two body movement and the arbitrary power of central three instances, this thesis discusses how to use Mathematica as the auxiliary in the teaching of central force.
