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在高三二轮复习教学中,一类与求函数极值有关的题目不时出现,此类题目的极值点为变量,在求函数极值时相应的极值函数一般为超越函数或含参函数,不方便直接求解.因为极值点为导数函数的零点,此时结合函数极值函数的特点,不妨利用整体代换化简极值函数,则解题方向柳暗花明.笔者整理了此类题目作为一个专题,集中讲解,效果颇佳,现与同仁共享.一、利用导数函数零点整体代换化简极值函数例1(2013年课标Ⅱ理21)已知函数f(x)=
In the senior high school reviewing teaching, a class of topics related to the extremum of seeking functions emerge from time to time. The extremum points of such topics are variables. When extremum functions, the extremum functions are usually transcendental functions or parametric functions Function, inconvenient direct solution.Because the extreme point is the derivative of the derivative of the zero point, this time combined with the extreme value of the function of the function, may wish to use the overall substitution of simplified extreme value function, the problem-solving direction vaguely. As a special topic, focus on explaining, the effect is quite good, now sharing with my colleagues. First, the use of derivatives of the zero point of the whole function to replace the simplified exponential function Example 1 (2013 Curriculum Standard Ⅱ Li 21) known function f (x) =