微积分思想在中学物理教学中的应用

Application of differential calculus thought in physics teaching

对于高中物理中的变量问题,运用微积分思想把整个过程分成无限多个无限小的部分,在每一无限小部分内使变化的物理量变为不变的物理量,再与高中所学知识相联系,最后用积分把各小部分进行累加起来得出结果,从而回避了"微积分公式",只采用其思想,简捷地解决了变化物理量问题。

To variable problem in high school physics, we should apply differential calculus thought to divide entire process into endless segments, change variable into quantity in every segment, and then get in touch with what is learnt in high school. At last we add up every segment by integral and reach the result. Thus, we avoid ＂differential calculus formula＂ and solve variable problem only by using its thought.