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新课程实施以来,高中各门课程都有了不同的结构调整。其中,数学在高中就引入了导数和积分的知识,而这两大数学工具恰恰是物理分析中极为有用的。作为高三学生,在已经学完了导数和积分同时物理进入复习的时候,可以适当的进行数理分析帮助物理概念的复习巩固。下面举几个例子说明。一、匀变速直线运动运动学中的位移时间关系、速度时间关系以及加速度的得出就是典型的导数和积分问题。以匀变速直线运动为例,位移为x=v_0t+1/2at~2,是时间t的函数,对其求导,得x’=(v_0t+1/2at~2)’=v_0+at,这就是速度-时间关系,即
Since the implementation of the new curriculum, there have been various structural changes in all the high school curricula. Among them, mathematics introduces the knowledge of derivatives and integrals in high school, and these two mathematical tools are extremely useful in physical analysis. As a high school student, after having finished the derivatives and integrals and entering the review of physics at the same time, the mathematical analysis can be properly carried out to help the review and consolidation of the physical concepts. Here are a few examples. First, the uniform speed linear motion kinematics of the displacement time, the relationship between speed and time and the acceleration is a typical derivative and integral problem. Taking uniform linear motion as an example, the displacement is x = v_0t + 1 / 2at ~ 2, which is a function of time t and is derived as follows: x ’= (v_0t + 1 / 2at ~ 2)’ = v_0 + at, This is the speed-time relationship, that is