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AMC10圣诞节集训班

30小时 课时 | 白天班 班型 | 小班 上课
课程学费： 一键咨询更多打折优惠课程获取报价
上课校区： 2个 (上海校区,上海深圳校区) 详情
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课程亮点

  • 3-6人小班，满3人开班

适用人群

  • 10年级及以下年级学生

课程介绍

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

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    入驻时长：5年会员

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