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函数是贯穿于高中数学的一条主线,它的思想丰富、交汇性大、综合性强,绝对值函数、指数对数函数、幂函数、三角函数以及它们的复合型函数仍然是高考考查的重点.导数的引入,成为研究函数的奇偶性、单调性、周期性、对称性、图像、极值、最值等性质的有力工具,拓宽了高考对函数问题的命题空间.近年来的高考中,函数与导数中的分类讨论问题,成为考查的热点、难点和创新点.
Function is a main line which runs through high school mathematics. Its thought is rich, the intersection is large, the synthesis is strong, the absolute value function, exponential logarithm function, power function, trigonometric function and their compound functions are still the focus of college entrance examination. The introduction of derivatives has become a powerful tool to study the properties of parity, monotonality, periodicity, symmetry, image, extreme value, maximum value and so on, broadening the proposition space of the college entrance examination on function problems.In recent college entrance examination, With the classification of derivative problems, become a test of the hot spots, difficulties and innovations.