美国数学邀请赛（American Invitational Mathematics Examination）是一项面向中学生的数学竞赛，起始于1983年。该竞赛有15道问题，考试时间为3小时。AMC10前2.5%和AMC12前5%的学生有资格参加美国数学邀请赛。和美国数学竞赛、美国数学奥林匹克共同作为选拔国际数学奥林匹克美国队的赛事，该赛事处于选拔的第二级，胜出者方能参加下一级的美国数学奥林匹克比赛
绝大多数晋级AIME的选手是高中生，也有极少数顶尖的初中生可晋级AIME。从AMC 12晋级并在AIME中取得高分的选手将晋级USAMO(United States of America Mathematics Olympiad)，而从AMC 10晋级并在AIME中取得高分的选手将晋级USAJMO(United States of America Junior Mathematics Olympiad)。
竞赛中通常涉及的概念包括初等代数、几何、三角学以及数论、概率和组合学等主题。其中许多概念在典型的高中数学课程中并没有直接涉及；因此，参赛者往往求助于补充资源来准备比赛。
每一个正确的答案可得一分，错误的答案不扣分。不给予部分积分。因此AIME的分数是0到15（含）的整数。
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 |
老师微信【mollywei007】
报名/咨询微信回复更快哦！
