在证明不等式的过程中,常用方法很多,可以利用函数的单调性,函数的最值以及函数的凹凸性等来解答,但常因方法不当,使得运算量大,直接影响解题速度与结果的正确.所以本文探讨的是巧用导函数的单调性来证明不等式的方法.巧用构造函数这一创造性思维来有效合理的使不等式获得证明,从而体现 In the process of proving inequality, there are many commonly used methods, which can be solved by the monotonicity of the function, the value of the function and the concavity and convexity of the function. However, due to the improper method, the computational complexity is large, which directly affects the speed and result of the problem solving Correct.Therefore, this paper explores the method of using the monotonicity of the derivative of the derivative to prove the inequality.Created constructively using the creative thinking to validate the inequality proved to reflect