2023AMC10强化班-40课时
该AMC10数学竞赛强化班旨在帮助学生备战AMC10数学竞赛，提高他们的数学思维和解题能力。该课程将涵盖AMC10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AMC10数学竞赛的考试。
- 课时： 40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
| Elementary | Advanced | |
| Number theory | Exponents, Prime factorization,
Number of divisors, LCM and GCD |
Sum of divisors, Product of divisors,
Euclid's Algorithm and Bezout's Theorem |
| Congruence Theory | Euler’s function and theorem, Fermat’s little theorem,
Chinese remainder theorem(CRT) |
|
| Character of digits, Base-n representation | Infinite decimal | |
| Divisibility rules, Venn diagram | Sets, Principle of Inclusion and Exclusion | |
| Number Theory Total: | ||
| Algebra | Arithmetic Sequences, Geometric sequences | Recursive sequence |
| Algebraic operation, Polynomials, Division Algorithm,
Remainder Theorem |
Binomial theorem, Pascal Triangle, Hockey-stick Theorem | |
| Functions and graph | Gaussian function | |
| linear equations and quadratic equations,
Vieta’s theorem |
Equations of higher degree, Vieta’s theorem of higher degree | |
| Linear inequalities and system of linear
inequalities |
Fundamental inequality, Cauchy's inequality,
Absolute value inequality |
|
| Geometry | Triangles | Heron's formula |
| Parallel And Similar | Angle Bisector and Median, Menelaus's theorem,
Ceva's theorem, Stewart Theorem |
|
| Polygon (Trapezoid, Parallelogram, Rhombus,
Rectangle) |
||
| Circles（chord, angles. area） | Four Concyclic Points, Ptolemy's theorem | |
| Solid Geometry | Volume of Frustums | |
| Combinatorics | Sum rules and product rules | Difficult sum rules and product rules |
| Permutations and combinations | Advanced permutations and combinations | |
| Classical probability | Geometric probability | |
| Logic reasoning | Pigeonhole principle | |
