課程大綱
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
Revision
簡介
翰林教育是碧桂園博實樂(NYSE:BEDU)旗下，具備完整培訓資質的課外培訓學校，提供各科國際競賽教輔(AMC/HiMCM/USACO/DECA)、高中國際課程輔導(Alevel/AP/IB/IGCSE)、學術科研背景提升的專業國際教育培訓機構。為學員量身定制從高中到研究生的權威全程國際競賽方案。翰林擁有業內稀缺的競賽資料和課程真題等珍貴的學術資源，國內課程輔導領域罕見的純正海歸精英教輔團隊－翰林專業導師團－均有世界知名高校背景和歐美留學經歷，都曾供職全球知名教育集團、國際學校，學術團隊和世界500強公司。
自創辦以來，就以業內強大的師資力量和優異的服務，獲得了大量學員家長的鼎力支持和口碑推廣，規模不斷擴大。在僅僅不到三年的時間內，翰林在讀新增學員的增長速度已經年均超過650%！在讀學員遍布世界各地！
翰林教育不僅提供主流的國際課程輔導, 還為學員提供 EE, TOK, Psychology, Philosophy, European/art History等高難度及小眾科目和竟賽的輔導
