Product Details
项目介绍
AMC全称American Mathematics Contest，前身为美国中学数学考试American High School Mathematics Examination（AHSME），是美国数学协会MAA（Mathematics Association of America）管理下的最热门，历史最悠久的学术比赛之一。
报名须知
面向有少量数学学术活动参赛和学习经验，校内数学基础较好，但尚未系统梳理过学术活动知识体系，各板块知识点遗漏欠缺较多的学生。
测试成绩AMC12介于75分-90分之间，AMC10介于85分-100分之间
课程目标是帮助学生建立完整而系统的中学数学学术活动知识体系，并通过各知识板块的专项训练逐渐熟悉相关学术活动题目的解题技巧和思维方法?？纬探崾?，可进一步根据实际学习情况参加考前冲刺刷题训练和一对一强化巩固答疑。 ?
AMC12真题及教材
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课程大纲
| Number?Theory | |
| Fundamentals | Advanced?Complementaries |
| Prime?factorization,?Number?of?divisors,?LCM?and?GCD | Sum/Product?of?divisors,?Euclidean?Algorithm?and?its?extensions,?Bezout's?Theorem |
| Congruences?and?Divisibility | Euler’s?function?and?theorem,?Fermat’s?little?theorem,?Wilson's?Theorem,?Chinese?remainder?theorem(CRT) |
| Character?of?digits,?Base-n?representation | Infinite?decimal,?Advanced?Base-n?representation?problems |
| Algebra | |
| Arithmetic?and?geometric?sequences,?periodic?sequence | Recursive?sequence?and?Characteristic?Equation?Method |
| Logarithm | Complicated?Logarithmic?calculation |
| Trigonometry | Advanced?trigonometry?identities |
| Algebraic?Manipulations?and?Polynomials | Fundamental?Theorem?of?Algebra,?Remainder's?Theorem,?Rational?Root?Theorem,?Generalized?Vieta's?Theorem |
| Inequalities?and?Extreme?Value?Problems | Fundamental?inequalities,?Cauchy's?inequality,?other?advanced?inequalities |
| Complex?Numbers | DeMoivre'?Theorem,?Roots?of?unity,?Vector?Transformation |
| Geometry | |
| Basics?in?Geometry | The?law?of?sines,?The?Law?of?Cosines;?Heron's?formula |
| Triangles | Centers?of?triangle,?Menelaus's?theorem,?Ceva's?theorem,?Stewart?Theorem |
| Circles?(chord,?angles,?area) | Inscribed?and?circumscribed?polygon/circle,?Cyclic?Quadrilateral,?Ptolemy's?theorem |
| Solid?Geometry | Theorem?of?three?perpendiculars,?Euler's?Polyhedron?Formula |
| Combinatorics | |
| Sum?rules?and?product?rules | Advanced?problems?in?sum?rules?and?product?rules |
| Permutations?and?combinations | Advanced?problems?in?combinatorics |
| Probability?and?Logic?Reasoning | Geometric?probability,?Recurisve?Method,?and?Pigeon's?Hole's?Principle |
