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《普通高中数学课程标准(实验)》对“函数模型”提出了明确的要求:利用计算工具比较指数函数、对数函数以及幂函数增长差异;结合实例体会直线上升、指数爆炸、对数增长等不同函数类型增长的含义。收集一些社会生活中普遍使用的函数模型(指数、对数、幂函数、分段函数等)实例,了解函数模型的广泛应用。“函数模型及其应用”这节课的教学目标是让学生感受到函数是描述客观世界变化规律的基本数学模型,体验所学的函数与现实世界的密切联系及其
The common high school mathematics course standard (experiment) has put forward the explicit requirement to the “function model”: comparing the exponential function, the logarithmic function and the power function growth difference by using the calculation tool; realizing straight line rising, exponential explosion and logarithm Growth and other functions of the meaning of the type of growth. Collect some examples of function models (exponential, logarithmic, power function, piecewise function, etc.) commonly used in social life to understand the wide application of the function model. “The function model and its application ” The teaching goal of this lesson is to make students feel the function is the basic mathematical model describing the law of the objective world, experience the close relationship between the function learned and the real world and its