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函数的基本性质包括函数的单调性、奇偶性,而函数的组合变换能导致函数的这两个性质的多种变换,借助于函数图像的变换特征才能较好地理解函数所具有的各种性质.函数解析式的组合变化导致函数图像的变换规律可分为三类:平移变换,对称变换及翻折变换.下面以二次函数、指数函数、对数函数的变化为例,全面分析三类规律的八种变换.
The basic properties of a function include the monotonicity and parity of the function, and the combined transformation of the function can lead to multiple transformations of these two properties of the function. With the help of the transform features of the function image, the various properties of the function can be well understood. The combined changes of the analytical function of the function lead to the transformation of the function image can be divided into three categories: translation transformation, symmetry transformation and flipping transformation. The following analysis of the quadratic function, exponential function, logarithmic function as an example, a comprehensive analysis of three categories Eight regular transformations.