Description
Book SynopsisThe series is edited by the head coaches of China's IMO National Team. Each volume, catering to different grades, is contributed by the senior coaches of the IMO National Team. The Chinese edition has won the award of Top 50 most influential educational brand in China.The series is in line with the mathematics cognition and intellectual development level of the students in the corresponding grade. The volume lines up the topics in each chapter and introduces a variety of concepts and methods to provide with the knowledge, then gradually transitions to the competition level. The content covers all the hot topics of the competition.In each chapter, there are packed with many problems including some real competition questions which students can use to verify their abilities. Selected detailed answers are provided. Some of the solutions are from national training team and national team members, their wonderful solutions being the feature of this series.
Table of ContentsQuadratic Equations; The Equations That can be Transformed Into the Quadratic Equations; The Discriminant of a Quadratic Equation; The Relationship Between Roots and Coefficients and Its Application; Simultaneous Quadratic Equations with Two Unknowns; Integer Roots of a Quadratic Equation; Perfect Square Numbers; Quadratic Functions; Quadratic Inequalities; The Distribution of Roots of a Quadratic Equation; Maximum and Minimum Values of Quadratic Functions; Maximum and Minimum Values of Simple Fractional Functions; Trigonometric Functions of an Acute Angle; Solve Right Triangles; Rotations; The Basic Properties of Circles; Positional Relation Between a Line and a Circle; Positional Relation of Two Circles; Power of a Point Theorem; Four Concyclic Points; Problems of Geometric Fixed Value; Five Centers of a Triangle; Geometric Inequality; Indefinite Equation; Reductio Ad Absurdum; Extreme Principle; Coloring Problems; Probability;
