解决导数综合题时,我们常常需要构造一个函数,利用函数的图象和性质来解决问题,可怎样构造函数是一个难点,很多学生感到无从下手,下面对导数中一些常见的构造技巧加以总结.一、利用题目中导数形式的暗示构造函数例1定义在R上的函数f(x)满足f(1)=1且对一切x∈R都有f’(x)<4,则不等式f(x)>4x-3的解集为. When solving the derivative synthesis problem, we often need to construct a function that takes advantage of the image and nature of the function to solve the problem. How to construct the function is a difficult task that many students find it hard to start with. In the following, some common construction techniques are summarized First, use the implied form of the problem constructor Example 1 defines the function f (x) on R to satisfy f (1) = 1 and for all x∈R have f ’(x) <4, the inequality f (x)> 4x-3 solution set is.