Mathematica在有心力教学中的应用研究  

A Study of the Application of Mathematica in the Teaching of Central Force

作　　者：杨硕[1] 谢文海[1] 刘德民[2] 

机构地区：[1]大连大学物理科学与技术学院,辽宁大连116622 [2]江南大学物联网工程学院,江苏无锡214122

出　　处：《长春师范学院学报（自然科学版）》2014年第2期159-163,共5页Journal of Changchun Teachers College

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.

关 键 词：MATHEMATICA 有心力 教学 

分 类 号：G642[文化科学—高等教育学] O311[文化科学—教育学]