摘要
本文认为,象判定物体是否运动需要有参照物一样,判定物体运动快慢需要有“参照运动”并给出参照运动定义,然后以函数y=x^3+c为例,给出一个新的导数定义,并说明其物理意义是严格的“即时速度”,而不是传统的“瞬时速度”.以此为基础给出微分、积分新的定义及其物理意义.
This article introduces that jubging the speed of an object movement needs 'reference movement' , the same as judging if an object is moving needs'reference object , and gives the definition of reference movement. A new derivative definition is defined and its physics meaning is explained to be strict 'Immediate Velocity' rather than normal 'Instantaneous Velocity 'by giving function y=x3+c for an example . and a new definition of differential calculus, integvral calculus and their meaning are given on the basis of this.
关键词
参照运动
导数
微分
不定积分
定积分
即时速度
平均速度
reference movement, derivative, differential calculus, indefinite integral, calculus, definiteintegral calculus
