微积分在生活中具有广泛的应用,如位移的导数是速度,速度的导数是加速度等等.本文利用高中物理中的牛顿第二定律和高中数学微积分部分导数知识对农田喷灌水滴落点进行建模和分析,探究影响水滴落点的远近的因素.一、问题背景在农田喷灌过程中,需要考虑到喷灌的喷头设计,使得喷出来的水滴均匀落在农田里,防止农作物浇灌既出现浇水太多、也不会太少,从而提高农作物的喷灌效率.这涉及到灌 Calculus has a wide range of applications in life, such as the displacement of the derivative is the speed, the speed of the derivative is the acceleration, etc. In this paper, the Newton's law in high school physics and high school mathematical calculus partial derivative of the knowledge of farmland irrigation drip point Modeling and analysis to explore factors affecting the distance of water droplets falling point.First, the background of the problem In the process of sprinkler irrigation, we must take into account the sprinkler nozzle design, making the water droplets spilled on the farmland evenly, to prevent both crop irrigation water Too much or too little water will increase the efficiency of crop sprinkling