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項目介紹
AMC全稱American Mathematics Contest，前身為美國中學數學考試American High School Mathematics Examination（AHSME），是美國數學協會MAA（Mathematics Association of America）管理下的最熱門，歷史最悠久的學術比賽之一。
報名須知
面向有少量數學學術活動參賽和學習經驗，校內數學基礎較好，但尚未系統梳理過學術活動知識體系，各板塊知識點遺漏欠缺較多的學生。
測試成績AMC12介于75分-90分之間，AMC10介于85分-100分之間
課程目標是幫助學生建立完整而系統的中學數學學術活動知識體系，并通過各知識板塊的專項訓練逐漸熟悉相關學術活動題目的解題技巧和思維方法。課程結束后，可進一步根據實際學習情況參加考前沖刺刷題訓練和一對一強化鞏固答疑。 ?
AMC12真題及教材
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課程大綱
| Number?Theory | |
| Fundamentals | Advanced?Complementaries |
| Prime?factorization,?Number?of?divisors,?LCM?and?GCD | Sum/Product?of?divisors,?Euclidean?Algorithm?and?its?extensions,?Bezout's?Theorem |
| Congruences?and?Divisibility | Euler’s?function?and?theorem,?Fermat’s?little?theorem,?Wilson's?Theorem,?Chinese?remainder?theorem(CRT) |
| Character?of?digits,?Base-n?representation | Infinite?decimal,?Advanced?Base-n?representation?problems |
| Algebra | |
| Arithmetic?and?geometric?sequences,?periodic?sequence | Recursive?sequence?and?Characteristic?Equation?Method |
| Logarithm | Complicated?Logarithmic?calculation |
| Trigonometry | Advanced?trigonometry?identities |
| Algebraic?Manipulations?and?Polynomials | Fundamental?Theorem?of?Algebra,?Remainder's?Theorem,?Rational?Root?Theorem,?Generalized?Vieta's?Theorem |
| Inequalities?and?Extreme?Value?Problems | Fundamental?inequalities,?Cauchy's?inequality,?other?advanced?inequalities |
| Complex?Numbers | DeMoivre'?Theorem,?Roots?of?unity,?Vector?Transformation |
| Geometry | |
| Basics?in?Geometry | The?law?of?sines,?The?Law?of?Cosines;?Heron's?formula |
| Triangles | Centers?of?triangle,?Menelaus's?theorem,?Ceva's?theorem,?Stewart?Theorem |
| Circles?(chord,?angles,?area) | Inscribed?and?circumscribed?polygon/circle,?Cyclic?Quadrilateral,?Ptolemy's?theorem |
| Solid?Geometry | Theorem?of?three?perpendiculars,?Euler's?Polyhedron?Formula |
| Combinatorics | |
| Sum?rules?and?product?rules | Advanced?problems?in?sum?rules?and?product?rules |
| Permutations?and?combinations | Advanced?problems?in?combinatorics |
| Probability?and?Logic?Reasoning | Geometric?probability,?Recurisve?Method,?and?Pigeon's?Hole's?Principle |
