# 英国高级数学思维挑战活动 (SMC)辅导班

3人小班和VIP1V1课程均已开放报名，欢迎联系小助手预约，先到先得。

## 描述 ### 学员须知：

 TOPICS Details Number theory Divisor Problems of integers Exponents, Prime factorization, Number of divisors, LCM and GCD *Remainder Problems of integers Modulus, Congruence and its properties, simple Modular algebra Digit Problems *in different base representations Base-10 digit representation, *Base-2 representation, *Different base conversion Divisibility Problems Divisibility rules; Venn diagram, Sets, *Union formula for two/three sets Number Theory Total: Algebra Sequences Arithmetic Sequences, Geometric sequences, Simple Repeating Sequence Algebraic Operations Expansion and Factorization Formulas; *Binomial theorem, Pascal Triangle; Radical Calculations Coodinate System and Functions Linear Functions, Quadratic Functions, Rational Functions, Absolute Value Functions, Trigonometric Functions, Exponential Functions Solving Equations Linear equations and quadratic equations, Vieta’s theorem for quadratic equations; Functional Equations Inequalities and Extreme Value Problems Linear inequalities and System of linear inequalities; Absolute value inequality, *AM-GM inequality Algebra Total: Geometry Triangles Similar and Congruent; Angle bisector and the *Angle Bisector Theorem, Median and the Centroid; Pythagorean Theorem, *Heron's formula Polygons Trapezoid, Parallelogram, Rhombus, Rectangle, Square Circles Chords, Arcs, Angles and Areas; Inscribed Circles and Circumscribed Circles; *Four Concyclic Points Simple Solid Geometry Rectangular Box, Prisms, and Pyramids; Sphere and Cones; Lines and Planes in Space Geometry Total: Combinatorics Counting Problems Sum rules and Product rules Permutation Problems and Combination Problems Permutation Numbers and Combination Numbers; *Balls into Boxes Problems Simple Probability Problems The Concept of Probability and basic Properties; Simple Geometric Probability Combinatorics Total: