Taking the heavy and difficult function as an example, we must master the concept of function, the establishment of function relationship, the properties of definition domain, range, maximum, parity, monotonicity, periodicity and symmetry, and learn to use images, that is, the combination of numbers and shapes.

There are several ways to find the domain and the maximum value, focusing on the application of quadratic function, basic inequality and monotonicity of function, especially the derivative method, so we must form clear ideas and networks in our own minds.

On the basis of mastering the basic knowledge points, we must sum up the basic ideas and methods of solving problems. In class, teachers should learn methods to solve problems, mainly mathematical thinking methods.

Every student must be clear about the requirements, answering methods and skills of basic mathematics questions.