Problems and Solutions in Mathematical Olympiad: Secondary 3

The 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.Contents:Quadratic EquationsEquations That Can Be Transformed Into Quadratic EquationsDiscriminant of Quadratic EquationRelationship Between Roots and Coefficients and ApplicationSimultaneous Quadratic Equations with Two UnknownsInteger Roots of Quadratic EquationPerfect Square NumbersQuadratic FunctionsQuadratic InequalitiesDistribution of Roots of Quadratic EquationMaximum and Minimum Values of Quadratic FunctionsMaximum and Minimum Values of Simple Fractional FunctionsTrigonometric Functions of Acute AngleSolving Right TrianglesRotationsBasic Properties of CirclesPositional Relation Between Line and CirclePositional Relation of Two CirclesPower of a Point TheoremFour Concyclic PointsProblems of Geometric Fixed ValueFive Centers of a TriangleGeometric InequalitiesIndefinite EquationsReductio Ad AbsurdumExtreme PrincipleColoring ProblemsProbabilityReadership: Secondary school students engaged in mathematical competition, coaches in mathematics teaching, and teachers setting up math elective courses. Read more