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一、教学目标掌握指数增长和衰减的微分方程及该方程的解,运用这个函数模型解人口增长、放射性物质的衰减、物体的冷却问题.通过图形计算器的运用,减少重复计算,帮助从数和形上联系地看问题,并阐述对这个微分方程模型的认识;在解决问题的过程中体会微分在解决实际问题中的作用.二、重点难点对微分方程解的认识及运用这个模型解决问题.三、教学过程1.新知导入(1)用马尔萨斯生物总数增长定律导入微分方
First, the teaching objectives Grasp the exponential growth and attenuation of the differential equation and the solution of the equation, the use of this function model population growth, the attenuation of radioactive substances, cooling objects through the use of graph calculators to reduce double counting to help from the number And the metaphysical contact to see the problem, and elaborated on the differential equation model of understanding; in the process of solving problems in understanding the role of differential in solving practical problems.Second, the key points of differential equations of understanding and the use of this model to solve the problem Third, the teaching process 1. Introduction of new knowledge (1) Malthus biological total growth law into the differential side