课程大纲

	Fundamentals(新秀组）	Advanced?Complementaries(专业组）
Number?Theory	Prime?factorization;?Number?of?divisors,?Sum?of?divisors,	Prime?factorization;?Number?of?divisors,?Sum?of?divisors,?Product?of?divisors;
	Product?of?divisors;	LCM?and?GCD
	LCM?and?GCD
	Euclidean?Algorithm?and?Bezout's?Theorem	Euclidean?Algorithm?and?Bezout's?Theorem
	Congruence?and?Divisibility	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	Algebraic?identities?and?Algebraic?manipulations
	Function?Composition?and?Functional?Equations	Function?Composition?and?Functional?Equations?(Induction?and?iteration?Method)
	(Induction?and?iteration?Method)
	Polynomials?and?Vieta's?Theorem	Polynomials?and?Vieta's?Theorem;?Newton's?Sum;
	Fundamental?inequalities,?Cauchy?inequality	Fundamental?inequalities,?Cauchy?inequality,?other?advanced?inequalities
	Rescursive?Sequence	Rescursive?Sequence;?Characteristic?Equation
Geometry	Basics?in?Geometry(?Polygon;?Area?Method;	Basics?in?Geometry(?Polygon;?Area?Method;?The?law?of?Cosine?and?the?law?of?Sine)
	The?law?of?Cosine?and?the?law?of?Sine)
	Triangles,?Centers?of?triangle	Triangles,?Centers?of?triangle;?Menelaus's?theorem,?Ceva's?theorem,?Stewart?Theorem
	Circles;?Cyclic?Quadrilateral;Power?of?Point?Theorem	Circles;?Cyclic?Quadrilateral;Power?of?Point?Theorem:?Ptolemy's?theorem;?Radical?Axis;
Probability?and?Statistic	Counting?Principles?(Sum?Rules,?Product?Rules,	Counting?Principles?(Sum?Rules,?Product?Rules,?Permutation?and?Combinations)
	Permutation?and?Combinations)
	Classical?probability?theory	Geometric?probability;?Conditional?Probability;?Bayes?Theorem
	Logic?reasoning?(Pigeon?Hole's?Principle;	Logic?reasoning?(Pigeon?Hole's?Principle;?Winning?Strategy;?Prove?by?contradiction;
	Winning?Strategy;	Principles?of?Inclusion?and?Exclusion)
	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

参赛须知

【个人能力挑战 Individual Contest】
10道简答问题被分为5组，每15分钟发下一组2道题，选手要在短暂的时间内迅速解答给出最简答案(挑战难度:3星，时长1小时40分钟)。

【团队能力挑战 Team Contest】
✔团队力量 Power Round
以团队为单位，解答一道多步证明题，并且要求答案和数学证明或解答过程都清晰明了(挑战难度:5星，时长60分钟)。

✔团队协作 Team Round
以团队为单位，解答10道简答题，给出最简洁的数字答案(挑战难度:4星，时长30分钟)。

✔分组接力 Relay Round
（1）每个团队被分为3组，编号为A、B、C；
（2）每组分到不同的题目，C组题目的一个关键条件是B组解出的答案，B组题目的一个关键条件是A组解出的答案。因此，后一组成员需要获得前一组成员的答案后才能解题；C组提交最终答案给监考人员
（3）每轮限时10分钟，5分钟内提交正确答案，得10分；10分钟提交正确答案，得5分。错误答案不给分。团队最高得分20分（挑战难度系数：2星，接力共两轮，总时长25分钟）。