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一个新的导数定义
引用本文:闫振志,孙丽华.一个新的导数定义[J].沈阳大学学报,2000,12(2):80-83.
作者姓名:闫振志  孙丽华
作者单位:[1]齐齐哈尔铁路分局教师进修学校,黑龙江齐齐哈尔161000 [2]沈阳大学基础部110044
摘    要:本认为,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。

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

A New Derivative Definition
YAN Zhen - zhi SUN Li - hua.A New Derivative Definition[J].Journal of Shenyang University,2000,12(2):80-83.
Authors:YAN Zhen - zhi SUN Li - hua
Institution:Qiqihaer Railway teacher's School 161000 Shenyang University 110044
Abstract: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.
Keywords:reference movement  derivative  differential calculus  indefinite integral  calculus  definiteintegral calculus
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