# 2022年AIME全程班

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   ### 报名须知

1、  适合人群：目前水平可以晋级AIME的精英学员

2、  假期集中上课

3、  AIME培训班为3-8人小班，满3人开班。

### 课程大纲

 Essential Topics Extended Details (Divison A and Beyond) Number Theory Prime factorization Number of factors Sum/Product of factors LCM and GCD Euclidean Algorithm and Bézout's Theorem Congruence and Modular Algebra Chinese Remainder Theorem(CRT) Euler’s Theorem/Fermat's Little Theorem Wilson's Theorem Diphantine Equations Estimation and Molular Metthod Algebra Resursive Sequences Characteristic Equation Method Conjecture and Mathematical Induction Proof Functions and Equations Gaussian/Floor function *Functional Equations Inequalities and Extreme Value Problems Cauchy inequality Jensen's inequality Weighted AM-GM Inequality Rearrangement Inequality and Chebyshev Inequality Polynomials Fundamental Theorem of Algebra (Polynomial Factorization) Generalized Remainder's Theorem Rational Root Theorem Vieta's Theorem and Newton's Sums Complex numbers De Moivre's Theorem and Roots of unity Rotation, Translation and Complex Vector Method Geometry Basic Geometry (Triangles and Polygons) The Law of Sines, The Law of Cosines Area Method and Heron's formula Centers of triangle Menelaus's theorem, Ceva's theorem, Stewart Theorem Circles Inscribed and circumscribed polygon/Circle, Cyclic Quadrilateral Ptolemy's theorem, *Butterfly Theorem Basic Analytic Geometry Ellipse, *Parabola and Hyperbola Basic Solid Geometry *Euler's Polyhedron Formula Combinatorics Basic Counting Principle Sum Rules and Product Rules Permutations and Combinations Advanced problems in combinatorics Logic reasoning Pigeonhole principle

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