# 2020 AMC12寒假班

3-6人小班，满3人开班

AMC12美国高中数学竞赛由美国数学协会（MAA）组织，每年举办，针对12年级及以下学生(对应国内高一)的数学竞赛。寒假班集中学习，效果更佳。

3人小班和VIP1V1课程均已开放报名，欢迎联系小助手预约，先到先得。

## Description

### 报名须知

1、  适合人群：12年级及以下年级学生。

2、  2020年1月18开课，1.18-2.4 每天2课时（春节24/25/26休三天）

3、  AMC10/12培训班为3-6人小班，满3人开班。

4、 面授地址：上海人广校区——成都北路500号峻岭广场35层

### 课程大纲

Algebra

i). Polynomials

Including Fundamental Theorem of Algebra, Euclidean Division, Remainder Theorem, Rational Roots test, Vieta’s Theorem … and more.

ii). Techniques with variables Including Techniques dealing with sets of equations, fraction of variables, completing of squares, expansion and simpliﬁcation… and more.

iii). Inequalities Including linear inequalities, quadratic inequalities, modular inequalities, AM -GM … and more.

Geometry 1

i). Triangles Including the Theorems of areas, Segments, Law of Sines and Cosines, and several centres in Triangles.

ii). Circles Including the Theorems of Angles, Power of a point, and Two classic ﬁgures: Fact 5 and Radical Axis.

iii). Transformation and rotation.

Geometry 2

i). Polygons

ii). A very important ﬁgure in solid geometry —-Tetrahedron Explain the relations between lines, planes, angles, spheres in 3 dimensional geometry using one model —-Tetrahedron.

iii). Other 3D ﬁgures pyramids, cylinders, spheres … and more.

iv). Past paper

Number Theory

i). Terminology and fundamental theorems of Number Theory Basic Divisibility Rules and Analysis with Odd, even numbers.

ii). Prime factorisation LCM and GCD and Number of Divisors.

iii). Modular Arithmetic Basic rules of Modular Arithmetic, Chinese remainder Theorem.

Combinatorics

i). Sets and Vein’s Diagrams.

ii). Permutation and combination

iii). Balls and Urns

Functions.

i). Linear function, quadratic function, hyperbolic function, trigonometric function, exponential function loga-rithmic function

ii). Inverse function and composite function

iii). Complex Number

Comprehensive

i). Series and Sequences

ii). Classic comprehensive problems

Revision

### 注意事项

• 学员须知：
• 受不同学校开学时间影响，班课具体开学时间可能会有微调，具体时间以班课学员为主
• 班课时间一经确认不再变更，开课后每课若有超半数学员按时出席，则当天正常上课，如有特殊情况请提前告知协调
• 线上课程：全程互动直播形式，如有需要可以提供课程录播服务
• 线下地址：翰林学院人广校区+长兴路校区
• 快速拼班：联系小助手 微信: linstitute1