2023AMC10強化班-40課時
該AMC10數(shù)學(xué)競賽強化班旨在幫助學(xué)生備戰(zhàn)AMC10數(shù)學(xué)競賽，提高他們的數(shù)學(xué)思維和解題能力。該課程將涵蓋AMC10數(shù)學(xué)競賽中的常見題型和解題技巧，包括代數(shù)、幾何、概率等方面，并為學(xué)生提供模擬測試和個性化反饋，以強化他們的技能和自信心。該課程將為參與者提供全面的指導(dǎo)和支持，幫助他們克服難關(guān)，順利完成AMC10數(shù)學(xué)競賽的考試。
- 課時： 40小時
Product Details
項目介紹
AMC全稱American Mathematics Contest，前身為美國中學(xué)數(shù)學(xué)考試American High School Mathematics Examination（AHSME），是美國數(shù)學(xué)協(xié)會MAA（Mathematics Association of America）管理下的最熱門，歷史最悠久的學(xué)術(shù)比賽之一。
課程大綱
| Elementary | Advanced | |
| Number?theory | Exponents,?Prime?factorization,
Number?of?divisors,?LCM?and?GCD |
Sum?of?divisors,?Product?of?divisors,
Euclid's?Algorithm?and?Bezout's?Theorem |
| Congruence?Theory | Euler’s?function?and?theorem,?Fermat’s?little?theorem,
Chinese?remainder?theorem(CRT) |
|
| Character?of?digits,?Base-n?representation | Infinite?decimal | |
| Divisibility?rules,?Venn?diagram | Sets,?Principle?of?Inclusion?and?Exclusion | |
| Number?Theory?Total: | ||
| Algebra | Arithmetic?Sequences,?Geometric?sequences | Recursive?sequence |
| Algebraic?operation,?Polynomials,?Division?Algorithm,
Remainder?Theorem |
Binomial?theorem,?Pascal?Triangle,?Hockey-stick?Theorem | |
| Functions?and?graph | Gaussian?function | |
| linear?equations?and?quadratic?equations,
Vieta’s?theorem |
Equations?of?higher?degree,?Vieta’s?theorem?of?higher?degree | |
| Linear?inequalities?and?system?of?linear
inequalities |
Fundamental?inequality,?Cauchy's?inequality,
Absolute?value?inequality |
|
| Geometry | Triangles | Heron's?formula |
| Parallel?And?Similar | Angle?Bisector?and?Median,?Menelaus's?theorem,
Ceva's?theorem,?Stewart?Theorem |
|
| Polygon?(Trapezoid,?Parallelogram,?Rhombus,
Rectangle) |
||
| Circles（chord,?angles.?area） | Four?Concyclic?Points,?Ptolemy's?theorem | |
| Solid?Geometry | Volume?of?Frustums | |
| Combinatorics | Sum?rules?and?product?rules | Difficult?sum?rules?and?product?rules |
| Permutations?and?combinations | Advanced?permutations?and?combinations | |
| Classical?probability | Geometric?probability | |
| Logic?reasoning | Pigeonhole?principle | |
