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教学目的:理解函数单调性概念,掌握判断函数单调性的方法,会证明一些简单函数在某个区间上的单调性。教学重点:函数单调性的概念与判断。教学难点:掌握判断函数单调性的方法。教学方法:启发式教学。一、问题情境1.情境:函数是描述事物运动变化规律的数学模型。如果了解了函数的变化规律,那么也就把握了相应事物的变化规律。因此研究函数的性质是非常重要的。2.问题:2008年北京奥运会开幕式由原定的7月25日推迟
Teaching Objectives: To understand the concept of monotonicity of functions, to master the method of judging the monotonicity of functions, to prove the monotony of some simple functions over a certain interval. Teaching focus: the concept of monotonicity and judgment. Difficulties in teaching: Master the monotony of judgment function. Teaching methods: heuristic teaching. First, the problem situation 1. Situation: Function is a mathematical model describing the law of changes in things. If you know the law of change of function, then also grasp the law of change of things. Therefore, it is very important to study the nature of the function. 2. Question: The opening ceremony of the 2008 Beijing Olympic Games will be postponed from the original July 25