Product Details
學員須知：
英國高級數學思維挑戰活動（SMC）
活動語言：中英文
活動時間：每年11月
參與資格：12年級（高三年級）及以下學生
活動形式：筆試，25道單項選擇題
評分標準：起始分數25分，答對得4分，答錯扣1分
課程大綱
| TOPICS | Details | |
| Number?theory | Divisor?Problems?of?integers | Exponents,?Prime?factorization,?Number?of?divisors,?LCM?and?GCD |
| *Remainder?Problems?of?integers | Modulus,?Congruence?and?its?properties,?simple?Modular?algebra | |
| Digit?Problems?*in?different?base?representations | Base-10?digit?representation,?*Base-2?representation,?*Different?base?conversion | |
| Divisibility?Problems | Divisibility?rules;?Venn?diagram,?Sets,?*Union?formula?for?two/three?sets | |
| Number?Theory?Total: | ||
| Algebra | Sequences | Arithmetic?Sequences,?Geometric?sequences,?Simple?Repeating?Sequence |
| Algebraic?Operations | Expansion?and?Factorization?Formulas;?*Binomial?theorem,?Pascal?Triangle;?Radical?Calculations | |
| Coodinate?System?and?Functions | Linear?Functions,?Quadratic?Functions,?Rational?Functions,?Absolute?Value?Functions,?Trigonometric?Functions,?Exponential?Functions | |
| Solving?Equations | Linear?equations?and?quadratic?equations,?Vieta’s?theorem?for?quadratic?equations;?Functional?Equations | |
| Inequalities?and?Extreme?Value?Problems | Linear?inequalities?and?System?of?linear?inequalities;?Absolute?value?inequality,?*AM-GM?inequality | |
| Algebra?Total: | ||
| Geometry | Triangles | Similar?and?Congruent;?Angle?bisector?and?the?*Angle?Bisector?Theorem,?Median?and?the?Centroid;?Pythagorean?Theorem,?*Heron's?formula |
| Polygons | Trapezoid,?Parallelogram,?Rhombus,?Rectangle,?Square | |
| Circles | Chords,?Arcs,?Angles?and?Areas;?Inscribed?Circles?and?Circumscribed?Circles;?*Four?Concyclic?Points | |
| Simple?Solid?Geometry | Rectangular?Box,?Prisms,?and?Pyramids;?Sphere?and?Cones;?Lines?and?Planes?in?Space | |
| Geometry?Total: | ||
| Combinatorics | Counting?Problems | Sum?rules?and?Product?rules |
| Permutation?Problems?and?Combination?Problems | Permutation?Numbers?and?Combination?Numbers;?*Balls?into?Boxes?Problems | |
| Simple?Probability?Problems | The?Concept?of?Probability?and?basic?Properties;?Simple?Geometric?Probability | |
| Combinatorics?Total: |
