小編搜集整理了SAT數學考點及公式復習，包括概率論、代數、幾何以及三角函數等部分的常用解題技巧，希望對大家有所幫助。

一、概率論

以下對SAT數學概率論部分的常用解題技巧進行了總結，供大家參考。

(1)In the integer 3589 the digits are all different and increase from left to right. How many integers between 4000 and 5000 have digits that are all different and that increased from left to right?

比較題目：

(2)In the integer 3589 the digits are all different and increase from left to right. How many integers between 30000 and 50000 have digits that are all different and that increased from left to right?

(3)If p, r, m are three different prime numbers greater than 2, and n=p*r* m, how many positive factors, including 1 and n, does n have?

比較題目：

(4)If p, r, m, n, t and s are six different prime numbers greater than 2, and n=p*r*s*m*n*t, how many positive factors, including 1 and n, does n have?

(5)If someone throws a dice twice, on the first time he gets a points, and on the second he gets b points, what is the probability a/b>1?

比較題目：

(6)If someone throws a dice twice, what is the probability that the point he gets on one throw is bigger than the other?

(7) Mr. Jones must choose 4 of the following 5 flavors of jellybean: apple, berry, coconut, kumquat, and lemon, How many different combinations of flavors can Mr. Jones choose?

二、代數

ARITHMETIC

A. Whole numbers

1. Operations—addition, subtraction, multiplication, division

2. Prime and composite numbers

3. Factors and divisors

B. Fractions

1 Types—proper, improper, mixed numbers

2 Operations

C. Decimals

1 Operations

2 Conversions

a) Decimals to fractions

b) Fractions to decimals

3 Rounding and approximation

4 Powers of 10

a) Multiplication

b) Division

c) Scientific notation

D. Percent

1 Conversions

a) Percent to decimal

b) Decimal to percent

2 Percent problems

E Ratio and proportion

F Square roots

G. Averages

H Metric measurement

三、幾何

1. 橢圓(很少用到，知道就可以了)

1)周長公式：L=2πb+4(a-b)

橢圓周長定理：橢圓的周長等于該橢圓短半軸長為半徑的圓周長(2πb)加上四倍的該橢圓長半軸長(a)與短半軸長(b)的差。

2)面積公式 ：S=πab

橢圓面積定理：橢圓的面積等于圓周率(π)乘該橢圓長半軸長(a)與短半軸長(b)的乘積。

2. 菱形面積=對角線乘積的一半，即S=(a×b)÷2

3. 三角形面積：

1)已知三角形底a，高h，則S=ah/2

2)已知三角形三邊a,b,c,半周長p,則

S= √[p(p - a)(p - b)(p - c)] (海倫公式)

3)已知三角形兩邊a,b,這兩邊夾角C，則S=absinC/2

4)已知三角形半周長p，內接圓半徑r，則S=pr

4.扇形面積：

圓心角為n°，半徑為r的扇形面積為(n/360)×π(r^2)

如果其頂角采用弧度單位，則可簡化為1/2×弧度×半徑平方。

扇形還與三角形有相似之處，上述簡化的面積公式亦可看成：1/2×弧長×半徑，與三角形面積：1/2×底×高相似。

5.梯形面積：[(上底+下底)×高] / 2

6.矩形面積：長×寬

7. 梯形體積

V=〔S1+S2+√(S1*S2)〕/3*H )

(V：體積;S1：上表面積;S2：下表面積;H：高)

8. 圓柱體體積：V圓柱=S底×h

9.長方體體積：V=長×寬×高

10.正方體體積：V=棱長^3

11.圓錐體體積: V=1/3×S底×h

四、三角函數

1)兩角和公式

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)

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))

4)和差化積

2sinAcosB=sin(A+B)+sin(A-B)

2cosAsinB=sin(A+B)-sin(A-B)

2cosAcosB=cos(A+B)-sin(A-B) -2sinAsinB=cos(A+B)-cos(A-B)

sinA+sinB=2sin((A+B)/2)cos((A-B)/2)

cosA+cosB=2cos((A+B)/2)cos((A-B)/2)

tanA+tanB=sin(A+B)/cosAcosB tanA-tanB=sin(A-B)/cosAcosB

cotA+cotBsin(A+B)/sinAsinB -cotA+cotBsin(A+B)/sinAsinB

以上便是SAT數學考點及公式復習，包括概率論、代數、幾何以及三角函數等部分的常用解題技巧。小編住大家都能取得理想的SAT數學考試成績!