一道以“磁阱”为背景的物理竞赛题的数学应用分析  

Analysis on the Application of Mathematics in a PhysicsCompetition Question with the Background of “Magnetic Trap”

作　　者：王勇 WANG Yong(Changzhou Senior High School,Changzhou,Jiangsu 213000)

机构地区：[1]常州高级中学,江苏常州213000

出　　处：《物理通报》2023年第8期81-84,共4页Physics Bulletin

基　　金：江苏省中小学教学第十四期研究课题“普通高中创新拔尖后备人才成长规律与培养机制研究”阶段性研究成果,课题编号:2021JY14-XK21.

摘　　要：通过一道以磁阱为背景的复赛题论述了行列式、泰勒级数、极值求解等数学工具在物理竞赛中的应用.将物理与数学两者融合在一起,使物理问题顺利转化为数学模型,在创新拔尖人才培养中落实和提升学生应用数学知识处理物理问题的能力.This paper discusses the application of mathematical tools such as Determinant,Taylor series and extreme value solution in the physics contest through an example of a semi-final question with a magnetic trap as the background.The integration of physics and mathematics enables the smooth transformation of physical problems into mathematical models,and the implementation and improvement of students′ability to deal with physical problems with Applied mathematics knowledge in the training of innovative top-notch talents.

关 键 词：磁阱 矢量运算 行列式 泰勒多项式 

分 类 号：G633.7[文化科学—教育学]