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新航道小编为大家整理出SAT数学公式,烤鸭同学们看一下吧
SAT数学公式:
1)两角和公式
sin(A+B)=sinAcosB+cosAsinB sin(A-B)=sinAcosB-sinBcosA
cos(A+B)=cosAcosB-sinAsinB cos(A-B)=cosAcosB+sinAsinB
tan(A+B)=(tanA+tanB)/(1-tanAtanB) tan(A-B)=(tanA-tanB)/(1+tanAtanB)
cot(A+B)=(cotAcotB-1)/(cotB+cotA) cot(A-B)=(cotAcotB+1)/(cotB-cotA)
1.正整数n有奇数个因子,则n为完全平方数
2.因子个数求解公式:将整数n分解为质因子乘积形式,然后将每个质因子的幂分别加一相乘.n=a*a*a*b*b*c则因子个数=(3+1)(2+1)(1+1)
eg. 200=2*2*2 * 5*5 因子个数=(3+1)(2+1)=12个
2)倍角公式
tan2A=2tanA/[1-(tan^2)A]
cot2A=[(cot^2)A-1]/2cotA
cos2A=cos^2A-sin^2=2(cos^2)A-1=1-2(sin^2)A
sin2A=2sinAcosA
3)半角公式
sin(A/2)=√((1-cosA)/2) sin(A/2)=-√((1-cosA)/2)
cos(A/2)=√((1+cosA)/2) cos(A/2)=-√((1+cosA)/2)
tan(A/2)=(+&-)√((1-cosA)/((1+cosA))=√(sinA/(1+cosA)) =√((1-cosA)/sinA)
cot(A/2)=(+&-)√((1+cosA)/((1-cosA))
熟悉一下根号2、3、5的值
sqrt(2)=1.414 sqrt(3)=1.732 sqrt(5)=2.236
3.等差数列: 1)等差数列通项公式:an=a1+(n-1)d 2)前n项和公式:Sn=na1+[n(n-1)d]/2或Sn=n(a1+an)/2 4.等比数列: 1)等比数列通项公式:an=a1•q^(n-1) 2) 前n项和公式:当 q= 1时,Sn=na1
SAT数学公式:
4. Linear algebra ‖x‖the norm (or modulus) of x OA→OA / vector OA OAˉ OA / the length of the segment OA AT A transpose / the transpose of A A?1 A inverse / the inverse of A
x>y x is greater than y x≥y x is greater than or equal to yx
x (?n) x to the (power) minus n x的平方根(square) root x / the square root of x x的三次根cube root (of) x x的四次根fourth root (of) x x的n次根nth root (of) x (x+y)2 x plus y all squared n! n factorial x^x hat xˉ x bar x? x tilde xi xi / x subscript i / x suffix i / x sub i ?(i=1~n) ai the sum from i equals one to n ai / the sum as i runs from 1 to n of the ai
x的平方根(square) root x / the square root of x
(y)2 x plus y all squared
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