构造函数法是高中解题中一种重要的解题方法.其基本思想是:通过构造适当的函数来转化问题,以利用所作函数的性质帮助论证或求解.比如,已知函数f(x)的定义域是R,f(0)=2,对任意的x∈R,f(x)+f’(x)>1恒成立,求不等式exf(x)>ex+1的解集.从已知“条件x∈R,f(x)+f’(x)>1恒成立”来看,自然想到依托f(x)来构造一个函数,然 Constructor method is an important problem-solving method in high school problem solving.The basic idea is: to transform the problem by constructing the appropriate function to use the nature of the function to help prove or solve.For example, the function f (x) Is the set of solutions of the inequality exf (x)> ex + 1 for any x∈R, f (x) + f ’(x) Known “condition x ∈ R, f (x) + f ’(x)> 1 holds”, naturally think of relying on f (x) to construct a function,