应用数学知识求解物理问题的能力是高中物理考试大纲明确提出的能力要求,也是考查学生能否创造性地求解物理问题的途径之一.导数与微分知识也是高中数学教学大纲中要求掌握的内容,而许多物理公式、规律与导数息息相关,尤其在求解物理量的极值时,利用导数求解思路清晰、简便,同时也使学生感觉到学有所用.一、在力学中的应用一个物理量随另一物理量的变化率即为此物理量关于另一物理量的导数.例如:在运动学中,描述物体的位移随时间变化快慢的物 The ability to apply mathematics knowledge to solve physical problems is an ability requirement clearly specified in the high school physics exam outline. It is also one of the ways to examine whether students can creatively solve physics problems. Derivative and derivative knowledge is also required in the mathematics syllabus of high schools. Many physical formulas, laws and derivatives are closely related, especially when solving the extremes of physical quantities, the use of derivatives to solve the thinking is clear and simple, but also make students feel useful in learning. First, the application of a physical quantity with another physical quantity in the mechanics The rate of change is the derivative of this physical quantity with respect to another physical quantity. For example, in kinematics, objects that describe how the displacement of an object changes over time