论文部分内容阅读
在多年教学中发现,学生普遍对对称性以及相关性质把握不清,性质的运用也不能随心所欲,对称关系广泛存在于数学问题之中,利用对称性往往能更简捷地使问题得到解决.笔者结合多年教学经验来探讨函数对称性的常用结论及其运用,通过函数自身的对称性和不同函数之间的对称性这两个方面来探讨函数与对称有关的性质.一、函数自身的对称性(1)函数自身关于轴对称.若函数y=f(x)满足f(a+x)
It has been found in years of teaching that students generally can not grasp the symmetry and the related nature, and the nature can not be used arbitrarily. Symmetric relations exist widely in mathematical problems, and the use of symmetry can often make the problem easier to solve. Years of teaching experience to explore the common conclusion of the function symmetry and its application, through the symmetry of the function itself and the symmetry between the two functions to explore the nature of the function and symmetry.First, the symmetry of the function itself 1) The function itself is axisymmetric. If the function y = f (x) satisfies f (a + x)