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
课程班型
基础班：面向没有参加过美国数学竞赛的学生，或者是AMC10/12没有晋级的学生。培训目标是帮助学生为在AMC10/12中晋级打下基础，面向0基础学员
强化班：面向AMC10目标2.5%, AMC12目标5%的学员，在基础班的内容上额外增加AMC难题训练和AIME的基础知识，为晋级AIME打下基础。建议2019AMC10B模考90左右，2019AMC12B模考80左右的学员报名
冲刺班：面向已经具备AIME晋级实力的学员，目标冲刺DHR前1%荣誉，适合已经完善强化班内容或模考可以达到晋级实力的学员，课程内容主要为真题的难题训练和部分国际课程或普高课程未教学知识点，数论及几何知识为主，同时会涉及部分AIME习题
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 simpli?cation... 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 ?gures: Fact 5 and Radical Axis.
iii). Transformation and rotation.
Geometry 2
i). Polygons
ii). A very important ?gure in solid geometry —-Tetrahedron Explain the relations between lines, planes, angles, spheres in 3 dimensional geometry using one model —-Tetrahedron.
iii). Other 3D ?gures 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
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