2023AMC12考前冲刺班
该AMC12考前冲刺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：30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。
课程大纲
| Fundamentals | Advanced Complementaries |
| Prime factorization, Number of divisors, LCM and GCD | Sum/Product of divisors, Euclidean Algorithm and its extensions, Bezout's Theorem |
| Congruence 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 |
| Arithmetic and geometric sequences,
periodic sequence |
Recursive sequence and Characteristic Equation Method |
| 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 |
| Logarithm | Complicated Logarithmic calculation |
| Trigonometry | Advanced trigonometry identities |
| 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 |
| Sum rules and product rules | Advanced problems in sum rules and product rules |
| Permutations and combinations | Advanced problems in combinatorics |
