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犀牛独家AMC8数学竞赛备考资料
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1.Prime number: a posititive interger greater than 1 and only divisible by 1 and itself.There are infinite many prime numbers
2.Factors are the numbers you multiply together to get the product. Divisors arenumbers which divides the given number without leaving any remainder
3.Fundamental theorem of arithmetic: Any composite number, besides 0 and 1, can beweitten as a product of prime numbers. And this expression is unique.
4.There exists a unique pair (q,r) such thata=gb+r (where a and b are integers, b> 0, q is the quotient, and r is the remainder with0≤r<b
5.Division Algorithm:Quotient and Remainder(商和余数的关系 )For any integers m and n (n > 0), there are exactly two integers q and r such that :m=qn+r ( where O≤r<n is the remainder)
6.Angle measure sum pricinples(三角形角度关系 )The measure of each xterior angle of a triangle equals the sum of the measures of itstwo nonadjacent interior angles
7.Similar triangles(相似三角形)Similar triangles are triangles whose corresponding angles are congruent and whosecorresponding sides are in proportion to each other.
8.Diameter Principles(垂径定理)
A diameter perpendicular to a chord bisects the chord and its arc
9.Tangent Principles(切线性质)A tangent is perpendicular to the radius drawn to the point of contact,
10.Power of Points formula(相交弦定理和切割线定理的合称)If two chords AB and CD intersect at a point P , the product of the lengths of thesegments of one chord equals the product of the lengths of the sements of the otherPAxPB=PCxPD
11.Pythagorean Theorem(勾股定理 )
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课程设置：
✦ 课程类型：3-8人小班/1v1
✦ 授课语言：中英双语/纯英授课
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