辅导课程

我们的AMC10辅导课程配有独家自研教材,授课老师均为海内外名校毕业,具有丰富的竞赛教学经验,并根据不同基础学生开设了不同的班课,真正做到有的放矢,事半功倍!

导师阵容

AMC10数学竞赛预备班

AMC10数学竞赛强化辅导课程

AMC10数学竞赛全程辅导课程


导师阵容(部分)

G老师

美国内布拉斯加林肯大学硕士
AMC认证优秀教练员

曾在南美、欧洲多个国家及英国参与交流项目,熟悉不同的教育体系。并在数学教学领域拥有多年丰富的实践经验,在教学过程中,通过启发式教学帮助学生深入理解各个知识点,引导培养学生的创造性思维和基本逻辑能力。

Z老师

美国罗切斯特大学理论数学博士
复旦大学上海数学中心博士后研究员
官方认证AMC优秀教练

7年理论数学的研究和相关教学经验,曾系统教授过大学数学系本科至研究生大部分专业课程。读博期间曾参与了大量AMC与美国大学生数学竞赛(Putnam、Virginia Tech等)的讲座与培训工作。

L老师

本科毕业于南方科技大学数学系
新加坡国立大学量化金融硕士

AMC认证优秀教练员,多年海外学习、生活、工作经历,扎实的数学教育背景与理科知识基础,多次获得国家、校奖学金。丰富的一线数学教学经验,教学注重整理内在逻辑,举一反三。


AMC10数学竞赛预备班

课程须知

面向基本无比赛经验,无数学竞赛学习经验的学生。 AMC10前侧成绩正确题目数量小于等于8题,进入基础(预备)班学习。

课程目标是帮助学生初步建立系统化的(中学)数学竞赛知识体系,并对竞赛中典型化的解题技巧和分析思路有初步的了解。课程结束后,可以根据学生学习的实际情况,进一步选择AMC10/12的全程班或强化班学习。

课程大纲

Number theory

(1)Divisor Problems of integers

Exponents, Prime factorization, Number of divisors, LCM and GCD

(2)Remainder Problems of integers

Modulus, Congruence and its properties, simple Modular algebra

(3)Digit Problems in different base representations

Base-10 representation, Base-2 representation, Different base conversion

(4)Divisibility Problems

Divisibility rules; Venn diagram, Sets, *Union formula for two/three sets

Algebra

(1)Sequences

Arithmetic Sequences, Geometric sequences, Simple Repeating Sequence

(2)Algebraic Operations and Polynomials

Expansion and Factorization Formulas; *Binomial theorem, Pascal Triangle; Polynomials, Division Algorithm, Remainder Theorem

(3)Functions and Graphs

Linear Functions, Quadratic Functions, *Rational Functions, Absolute Value Functions;Coordinate System;

(4)Solving Equations

Linear equations and quadratic equations, Vieta’s theorem for quadratic equations

(5)Inequalities and Extreme Value Problems

Linear inequalities and System of linear inequalities; AM-GM inequality, Absolute value inequality

Geometry

(1)Triangles

Similar and Congruent; Angle bisector and the Angle Bisector Theorem, Median and the Centroid; Pythagorean Theorem, *Heron's formula

(2)Polygons

Trapezoid, Parallelogram, Rhombus, Rectangle, Square

(3)Circles

Chords, Arcs, Angles and Areas; Inscribed Circles and Circumscribed Circles; *Four Concyclic Points

(4)Simple Solid Geometry

Rectangular Box, Prisms, and Pyramids; Sphere and Cones; Lines and Planes in Space

Combinatorics

(1)Counting Problems

Sum rules and Product rules

(2)Permutation Problems and Combination Problems

Permutation Numbers and Combination Number;*Grouping Theorem;

(3)Simple Probability Problems

The Concept of Probability and basic Properties; Simple Geometric Probability

扫码试听课程,获取一对一备考规划!

领取AMC10金牌讲义+领取课程优惠!


AMC10数学竞赛强化辅导课程

课程须知

强化班面向有较多数学竞赛学习经验,且在部分比赛中已经获得过一定成绩,目标为AMC10 Distinction(TOP5%)及以上的优秀学员。AMC10前测成绩正确题目介于15题至18题之间(包含)进入强化班学习。

课程目标是帮助学生快速巩固、梳理数学竞赛的核心知识框架,在知识点上做进一步的深化和拓展,增加难题(Q20+)解析的数量和强度,进一步增进学生对于竞赛解题技巧和思维方式的深刻理解和熟练掌握,并为晋级之后的AIME备考打下基础。

课程大纲

1. Number theory(10h)

Elementary

(1)Exponents, Prime factorization, Number of divisors, LCM and GCD

(2)Congruence Theory

(3)Divisibility rules, Venn diagram

(4)Character of digits, Base-n Representation

Advanced

(1)Sum of divisors, Product of divisors, Euclid's Algorithm and *Bezout's Theorem

(2)Euler’s function and theorem, Fermat’s little theorem, *Chinese remainder theorem(CRT)

(3)Sets, Principle of Inclusion and Exclusion

(4)Infinite decimal

2. Algebra(12h)

Elementary

(1)Arithmetic sequences, Geometric sequences, Periodic sequences

(2)Algebraic manipulations; Polynomials, Division Algorithm, Remainder Theorem

(3)Functions and Graph

(4) Linear equations and Quadratic equations, Vieta’s Theorem

(5)Linear inequalities and system of linear inequalities

Advanced

(1)General recursive sequences

(2)Binomial theorem, Pascal Triangle, Hockey-stick Theorem

(3)Gaussian function

(4) Equations of higher degree, Vieta’s theorem of higher degree

(5)Fundamental inequality, Cauchy's inequality, Absolute value inequality

3. Geometry(10h)

Elementary

(1)Parallel And Similar

(2)Triangles

(3)Polygon (Trapezoid, Parallelogram, Rhombus, Rectangle)

(4)Circles(Chord, Angles, Area)

(5)Solid Geometry

Advanced

(1)Menelaus's theorem, Ceva's theorem, *Stewart Theorem

(2)Heron's formula; Angle Bisector and Median, Centers of Triangles

(3)Four Concyclic Points; Power of a Point Theorem; Ptolemy's theorem

(4) Volume of Frustums

4. Combinatorics(8h)

Elementary

(1)Sum rules and Product rules

(2)Permutations and Combinations

(3)Basic probability Theory and Logic reasoning

Advanced

(1)Geometric Counting Problems

(2)Circular Permutation; Grouping Theorem; Balls into Boxes

(3)Geometric probability, Pigeonhole principle

*(较全程班节奏更快,及更侧重难题练习和知识点的高阶引申)


AMC10数学竞赛全程辅导课程

课程须知

全程班面向有少量数学竞赛参赛和学习经验,校内数学基础较好,但尚未系统梳理过竞赛知识体系,各板块知识点遗漏欠缺较多的学生。AMC10前测成绩正确题目介于9题至14题之间(包含)进入全程班学习。

课程目标是帮助学生建立完整而系统的中学数学竞赛知识体系,并通过各知识板块的专项训练逐渐熟悉相关竞赛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。

课程大纲

1. Number theory

(1)Prime Factorization; Number of divisors, Sum/Product of divsiors; LCM and GCD, *Euclidean Algorithm and Bezout's Theorem

(2)Congruence Theory; *Euler's Theorem and Fermat's Little Theorem

(3)Divisibility Rules; Sets and Venn diagram; Principle of Inclusion and Exclusion

(4)Digit representation and base conversion; Infinite repeating decimal

2. Algebra

(1)Arithmetic sequences, Geometric sequences, Periodic sequences; General recursive sequences

(2)Algebraic Operation; Binomial theorem, Pascal Triangle, *Hockey-stick Theorem; Polynomials and Division Algorithm, simple Remainder Theorem;

(3)Functions and Graph; Coordinate System; Linear and Quadratic functions; *Guassian Function

(4) Linear equations and Quadratic equations, Vieta's Theorem for Quadratic Equations; *Higher degree polynomial Equations and their Vieta's theorem

(5)Linear inequalities and system of linear inequalities; AM-GM inequality, *Cauchy's inequality, Absolute value inequality

3. Geometry

(1)Basics in Geometry: Angles, Lines; Parallel and Similar

(2)Triangles: Perimeter and Area; Pythagrean Theorem; Heron's formula; Angle Bisector and Angle Bisector Theorem, Median and Centroid;

(3)Quadrilaterals: Rectangle, Square, Parallelogram; Rhombus; Trapizoids

(4)Circles: Perimeter and Area, Arc length and Sector; Chords, Circumscribed Angles, Tangents; Four Concyclic Points; Power of a Point Theorem; *Ptolemy's theorem

(5)Solid Geometry: 3D Space and Planes; Rectanglar Box, Cube; Prism; Pyramid; Surface Area and Volume; *Frustums; Cylinder and Sphere

4. Combinatorics

(1)Basic Counting Principles: Sum rules and Product rules; Geometric Counting Problems

(2)Permutations and Combinations; Circular Permutation; Grouping Theorem; Balls into Boxes

(3)Elementary probability and Simple Stats.