AMC12数学竞赛全程班
该AMC12数学竞赛全程班辅导旨在帮助学生备战AMC12数学竞赛，提高他们的数学思维和解题能力。该课程将涵盖AMC12数学竞赛中的常见题型和解题技巧，包括代数、几何、概率等方面，并为学生提供模拟测试和个性化反馈，以强化他们的技能和自信心。该课程将为参与者提供全面的指导和支持，帮助他们克服难关，顺利完成AMC12数学竞赛的考试。
- 课时：60小时
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。课程结束后，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
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 |
