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一、教学内容解析“函数的单调性”是苏教版必修1第2章第2节“函数的性质”第1课时的内容,是继函数的基本概念之后学习的第一个函数性质,也是第一个用数学符号语言来刻画的概念,函数的单调性与函数的奇偶性、周期性一样。都是研究自变量变化时函数值的变化规律;函数单调性的学习为进一步学习函数的其他性质提供了研究方法,此外,函数单调性是学习不等式、极限、导数等其他数学知识的重要基础。因此本节课在整个教材中具有极其重要的地位与价值。
First, the teaching content analysis “monotonous function ” is the Supian version compulsory 1 Chapter 2 Section 2 “the nature of the function ” content of the first class, is the first after learning the basic concept of the function The nature of the function is also the first one to describe the concept of a mathematical symbolic language. The monotonicity of a function is the same as the periodicity of a function. Is to study the variation of the function values when the independent variables change. The study of the monotonicity of the function provides a research method for further studying the other properties of the function. In addition, the monotonicity of the function is an important basis for learning other inequalities, limits, derivatives and other mathematical knowledge. Therefore, this lesson has an extremely important position and value in the whole textbook.