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导数在高考数学中占据着重要地位,其中包括导数的概念和几何意义,以及以导数为工具,研究函数的单调性、极值、最值、导数的运用,而对数函数和指数函数恰恰是常见的导数载体。在这类函数问题中求导根确定单调区间时,常常会遇到不能求出导根的问题,俗称超越方程不能正常求根,这是近年来的热门考点,也是高考数学的重点。解决此类问题,通常需要学生使用函数构造法,根据函数的单调性,结合函数图像,用二分法确定导根的范围求解,渗透了分类讨论、数形结合、函数与方程的思想。
Derivatives occupy an important position in the math test, which includes the concept of the derivative and geometric meaning, as well as the derivative as a tool to study the monotonicity of the function, the extreme value, the most value, the derivative of the use of logarithmic and exponential functions Common derivative vector. Find the root of such function problems in determining the monotony interval, often encountered can not find the root of the problem, commonly known as transcendental equation can not normally find roots, which is hot in recent years test centers, but also the focus of college entrance examination mathematics. To solve such problems, students usually need to use the function construction method. According to the monotonicity of the function, combined with the function image, the dichotomy is used to determine the range of the rooting solution, which permeates the ideas of classification discussion, number combination, function and equation.