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本文采用分析法思路对高中阶段学习的两类重要函数:指数函数和对数函数的交点个数,分01两类展开讨论,得出这对互反的函数图像交点个数与底a之间的关系,这对进一步认识y=ax与y=logax有实际意义,在证明求解过程中充分借助导数这个强有力的工具,以及函数的数形结合,极限思想都是值得借鉴。
In this paper, two kinds of important functions of high school learning: the exponential function and the logarithmic function are divided into two groups, which are 0 1, The relationship between the number of intersections and the end of a, which is of practical significance for further understanding of y = ax and y = logax, in the proof of the full use of derivatives of this powerful tool, and the combination of the number of functions, the ultimate idea Is worth learning.