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导数与函数是高中内容的重要组成部分,是高考的热点,同时也是高中学习的重点与难点。它整合了高中所学的数形结合思想、转化与划归思想与分类讨论思想,是集这几大思想的统一体,是高中数学从研究一次函数、二次函数、正比例函数、反比例函数、指数函数、对数函数、幂函数图像与性质基础上,通过导数对函数的单调性、极值和最值的把握,大体上描绘出函数的图像,利用数形结合的方式来解好此类题型。下面笔者将通过例题的方式分析出这种题的解题方式。
Derivatives and functions are an important part of high school content, hot spots for college entrance examination, but also the focus and difficulty of high school learning. It incorporates the high school mathematics combined with thinking, transformation and classification of thought and classification of thinking, is the unity of these several ideas, is a high school mathematics from the study of a function, the quadratic function, the proportional function, inverse function, Exponential function, logarithmic function, power function and image based on the nature of the function through the derivative of the monotonic, extreme and maximum value of the grasp, the general description of the function of the image, the use of digital form combination to solve this kind of Question type. The author will be following by way of example analysis of this problem-solving methods.