Problems And Solutions In Mathematical Olympiad (Secondary 3)

Jun Ge, PhD in Education, Senior Coach of The Chinese Mathematical Olympiad, Principal of The Associated High School of Nanjing Normal University, China.

• Quadratic 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;