英国高级数学思维挑战活动 (SMC)辅导班
班型：3-8人小班课 课时：40小时 共20次课 3人小班和VIP1V1课程均已开放报名，欢迎联系小助手预约，先到先得。
- 班型：3-8人小班
- 课时：40小时
产品详情
学员须知：
英国高级数学思维挑战活动（SMC）
活动语言：中英文
活动时间：每年11月
参与资格：12年级（高三年级）及以下学生
活动形式：笔试，25道单项选择题
评分标准：起始分数25分，答对得4分，答错扣1分
课程大纲
| 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: |
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