參賽須知

ARML 區(qū)域?qū)W術(shù)活動內(nèi)容包括幾何，代數(shù)，組合數(shù)學(xué)，概率，不等式等，簡答為主，以6 人制團(tuán)隊(duì)形式參賽，更加注重數(shù)學(xué)的趣味性、跨學(xué)科運(yùn)用的綜合性以及同學(xué)們團(tuán)隊(duì)協(xié)作能力。ARML晉級挑戰(zhàn)賽僅邀請?jiān)贏RML區(qū)域賽中獲得優(yōu)異成績團(tuán)隊(duì)參賽，以團(tuán)隊(duì)形式參賽，題型全部為證明題。晉級挑戰(zhàn)賽非常新穎，通常是以某熱門社會話題、議題為切入點(diǎn)，讓團(tuán)隊(duì)用數(shù)學(xué)的方法解決問題，非常強(qiáng)調(diào)數(shù)學(xué)的應(yīng)用性。

比賽語言：英文

考試地點(diǎn)： 考點(diǎn)學(xué)校（建議考點(diǎn)學(xué)校的同學(xué)選擇本校考試，非考點(diǎn)學(xué)校的同學(xué)可以聯(lián)系本校相關(guān)負(fù)責(zé)老師申請成為考點(diǎn)組織考試）

參賽資格：高中各個年級學(xué)生，6人組隊(duì)參賽

課程大綱

Number?Theory	Prime?factorization;?Number?of?divisors,?Sum?of?divisors,?Product?of?divisors;?LCM?and?GCD
	Euclidean?Algorithm?and?Bezout's?Theorem
	Congruence?and?Divisibility
	Chinese?remainder?theorem(CRT),?Fermat’s?little?theorem,?Euler’s?function?and?theorem,?Wilson's?Theorem
	Diophantine?Equations
Algebra	Algebraic?identities?and?Algebraic?manipulations
	Function?Composition?and?Functional?Equations?(Induction?and?iteration?Method)
	Polynomials?and?Vieta's?Theorem;?Newton's?Sum;
	Fundamental?inequalities,?Cauchy?inequality,?other?advanced?inequalities
	Rescursive?Sequence;?Characteristic?Equation
Geometry	Basics?in?Geometry(?Polygon;?Area?Method;?The?law?of?Cosine?and?the?law?of?Sine)
	Triangles,?Centers?of?triangle;?Menelaus's?theorem,?Ceva's?theorem,?Stewart?Theorem
	Circles;?Cyclic?Quadrilateral;Power?of?Point?Theorem:?Ptolemy's?theorem;?Radical?Axis;
Probability?and?Statistic	Counting?Principles?(Sum?Rules,?Product?Rules,?Permutation?and?Combinations)
	Geometric?probability;?Conditional?Probability;?Bayes?Theorem
	Logic?reasoning?(Pigeon?Hole's?Principle;?Winning?Strategy;?Prove?by?contradiction;?Principles?of?Inclusion?and?Exclusion)
	Elementary?Graph?Theory;?Coloring?Problem?and?Labelling?Method
College?Topics	Limit,?Differentiation,?and?simple?Integration,
	Simple?Series?and?convergency?test
	Simple?Group?Theory

以上就是關(guān)于【2023 ARML美國區(qū)域數(shù)學(xué)聯(lián)賽沖刺班】的解答，如需了解學(xué)校/賽事/課程動態(tài)，可至翰林教育官網(wǎng)獲取更多信息。

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