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教学目标:1.经历对具体函数(y=x~2,y=x~3,y=1/x等)的导数与函数单调性的关系的探究过程,理解并能灵活运用导数判断函数的单调性,体会数形结合的数学思想在研究函数中的应用,感受数学的图形美。2.经历用导数方法求函数单调区间例题的解决过程,归纳出用导数求函数单调区间的方法步骤,进一步提高归纳概括能力,养成善于归纳方法的习惯。教学重点:导数正负与函数单调性的关系。教学策略:
Teaching objectives: 1.Explore the process of exploring the relationship between the derivative of a specific function (y = x ~ 2, y = x ~ 3, y = 1 / x, etc.) and the monotonicity of the function, understand and be able to use the derivative judgment function Monotonous, experience Mathematical thinking in the form of numbers in the study of the application of function, feel the beauty of mathematical graphics. Through experiencing the process of solving the monotonous interval of the function by using the derivative method, the method steps of using the derivative to find the monotonous interval of the function are summarized, and the habit of summarizing and summarizing ability is further improved. Teaching emphasis: The relationship between positive and negative derivative and monotonicity of function. teaching strategy: