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函数是中学数学教学的主线,是中学数学的核心内容,也是整个高中数学的基础。函数的性质是高考的重点与热点,函数的对称性是函数的一个基本性质,对称关系不仅广泛存在于数学问题之中,而且利用对称性往往能更简捷地使问题得到解决,对称关系还充分体现了数学之美。本文拟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。
Function is the main line of high school mathematics teaching, is the core content of high school mathematics, but also the basis of high school mathematics. The nature of the function is the focus and hot spot of the college entrance examination. The symmetry of the function is a basic property of the function. The symmetrical relation exists not only in the math problems, but also in the symmetry, the problem can be solved more easily and the symmetry relation is sufficient Reflects the beauty of mathematics. In this paper, the symmetry of the function and the symmetry between the different functions are discussed to explore the symmetry-related properties of the function.