学数学离不开解题,解题是一种实践技能训练,是学好数学的重要途径,它可以巩固所学知识,是培养思维能力的有效途径。在中学阶段,函数是重点知识,在研究函数过程中,根据问题表面与内在联系及特征,由数建立相应的“形”的形象,或根据形考察数量特征,进行广泛联想,这样,有助于按知识结构去发现知识间的联系和转化。本文力求通过解析几何中的图象和性质来解决某些不等式的证明和某些函数的极值问题,促使数形和谐统一,使题目获得简明的 Mathematics is inseparable from the problem solving, problem solving is a practical skills training is an important way to learn mathematics, it can consolidate the knowledge is an effective way to train thinking ability. In the middle school stage, the function is the key knowledge. In the process of studying the function, according to the surface and the inherent relationship and characteristics of the problem, the number of the corresponding “shape” According to the knowledge structure to find the connection and transformation of knowledge. This paper seeks to resolve the inequalities of certain inequalities and the extremum problems of some functions by analyzing the images and their properties in geometry,