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 Brands in China.The series is created in line with the mathematics cognition and intellectual development levels of the students in the corresponding grades. All hot mathematics topics of the competition are included in the volumes and are organized into chapters where concepts and methods are gradually introduced to equip the students with necessary knowledge until they can finally reach the competition level.In each chapter, well-designed problems including those collected from real competitions are provided so that the students can apply the skills and strategies they have learned to solve these problems. Detailed solutions are provided selectively. As a feature of the series, we also include some solutions generously offered by the members of Chinese national team and national training team.
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;
