论文部分内容阅读
函数的奇偶性是函数的重要性质之一,它在代数、三角以及高等数学中都有着广泛的应用,近几年的中学各类考试中,也经常出现关于函数奇偶性的题型,一般出现在填空、选择、判断、证明、求值等题型中。正因如此,对函数奇偶性的教学必须给予重视。例如在某次函数奇偶性教学课中,由对称的图形进行内容导入,从而让学生举例关于y轴对称的函数,并让学生尝试语言描述如何判断图象关于y轴对称,教学过程中教师给予一些具体数字的帮助,逐步得出结论:对定义域内任意一个x,都有f(-x)=f(x)成立。然后,再由教师给出了函数奇偶性的概念:
The function’s parity is one of the important properties of the function. It has a wide range of applications in algebra, trigonometry and higher mathematics. In recent years, all kinds of examinations in middle school often appear on the function parity, Fill in the blank, select, judge, prove, evaluation and other questions. Because of this, the teaching of function parity must be given attention. For example, in a function parity lesson, content is imported from a symmetrical graph so that the student exemplifies a function that is symmetrical about the y-axis and has the student try a language to describe how to judge the image about the y-axis. The teacher gives With the help of some specific figures, we can conclude gradually that f (-x) = f (x) holds for any x in the domain of definition. Then, the teacher gives the concept of function parity: