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函数问题的对称性问题是函数性质的一个重要方面,也是历年高考热点问题之一,除了常见的自身对称(奇偶函数的对称性),两函数图像对称(原函数与反函数的对称性)外,函数图像的对称性还有一些图像关于点对称和关于直线对称的两类问题,在这里,两函数图像关于某直线对称或关于某点成中心对称与函数自身的对称轴或对称中心是有本质区别的,注意不要把它们相混淆,造成解题失误。下面就这些问题给出一般结论,希望对同学们有所帮助。
The symmetry of the function problem is an important aspect of the nature of the function. It is also one of the hot issues of the college entrance examination over the years. Apart from common self-symmetry (the symmetry of parity functions), image symmetry between the two functions (the symmetry of the original function and the inverse function) Symmetry of Function Images There are also some images about two types of problems about point symmetry and about line symmetry where the two function images are symmetric about a straight line or about a point symmetric to the symmetry axis or center of symmetry of the function itself Essential difference, be careful not to confuse them, resulting in problem-solving mistakes. The following general conclusions on these issues, I hope to help students.