摘要：微积分是研究函数的微分、积分以及有关概念和应用的数学分支,它是数学的一个基础学科,内容主要包括微分学、积分学及其应用。微分学包括求解导数的运算，是一套关于变化率的理论,它使得速度、加速度和曲线的斜率等均可用一套通用的符号进行讨论。积分学包括求积分的运算，为定义和计算面积、体积等提供一套通用的方法。在本文中我们研究利用微积分的原理和方法来解决几何学和物理学中的一些基本的问题, 这可以加深我们对微积分概念的理解，同时提高我们学习微积分的兴趣，培养我们善于发现生活中美的能力。

关键词：微积分; 几何; 物理; 应用

Abstract:Calculus is the mathematical branch to study the differential and integral of the function and the related concepts and applications. It is a basic subject of mathematics including the differential, integral and its application. Differential include the operation of solve differentive and is a set of theory on the rate of change. Thus the acceleration, the velocity and the slope of the curve can be discussed by a set of general symbols. Integral include the operation of integration which offer the common methods to define and compute for the area, volume and so on. In this paper, we will deal with some problems in geometry and physics by using the principles and methods in calculus. This can add to the understanding of the concept of the calculus, improve our interest in studying calculus and train the ability to find the fine things in our life.

Key words:  Calculus；geometry；physics；application