This book is a senior one, which mainly expounds the basic knowledge and solving methods of set sum function, trigonometric function and plane vector, and also supplements double hook function, abstract function, quadratic function, algebraic equation and their solving methods. This book not only lays a good foundation for students to achieve excellent results in the college entrance examination and competitions, but also reveals the background knowledge of the function finale in the college entrance examination, making students feel that the function problem in the college entrance examination is not terrible and has a strong reference function for the cultivation of gifted students.