小編為大家介紹下SAT數(shù)學考察范圍總論,包括SAT數(shù)學考試內(nèi)容,SAT數(shù)學算術部分的知識點,以及做SAT數(shù)學題的常用方法等等,希望對大家有所幫助。
SAT數(shù)學考試內(nèi)容
1.所考題目特點:廣而不精!
2.所考察范圍: 包括Arithmetic(算術),Algebra(代數(shù)),Geometry(幾何)三部分
3.復習策略:
(1)自己所對應水平:
(2)如何規(guī)避自己缺點:
SAT數(shù)學算術部分知識點
基本數(shù)學術語:
1.數(shù)的表達方式:
Integer 整數(shù),fraction 分數(shù),decimal 小數(shù),real number 實數(shù), rational number有理數(shù)
Positive 整數(shù),negative 負數(shù),even 偶數(shù),odd 奇數(shù),positive integer 自然數(shù)
2.關系表達:
Add, plus 加法,sum 和;subtract,minus 減法,difference差;
Multiply,times,by乘法,product積;divide 除法,quotient 商
Power 乘方,cube 立方,square 平方
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3.運算結果:
Ratios 比;Reciprocal, inverse 倒數(shù); Remainder 余數(shù); Average, mean 平均數(shù)
Divisibility 整除; Denominator 分母;numerator分子
4.其他
Consecutive 連續(xù):1,2,3,4.... 按順序排列的數(shù)字
Digit:從0-9的數(shù)字,379 is a three-digit number
Units digit 個位
Tens digit 十位—區(qū)別(tenths digit十分位)
Hundreds digit 百位----(區(qū)別hundredths digit 百分位)
Distinct 不同的:the distinct factors of 4 are 1, 2, 4. 而不是1, 2, 2, 4.
Factor 因數(shù):2 is a factor of 8.
Prime 質數(shù):沒有因數(shù)的自然數(shù)
Prime factor 質因數(shù)
Divisibility 整除
Percent increase of decrease=
Median: 中位數(shù)
Mode 眾數(shù):在一個數(shù)列中出現(xiàn)的最多的一個數(shù)
Range:范圍,一個數(shù)列的范圍是指這個數(shù)列的最大值減去這個數(shù)列的最小值
Set 集合
Sequence 數(shù)列
Intersection:交集; union:并集
Probability and Combinations 概率與組合
Standard Deviation 標準偏差 mean:(樣本的)平均值
SAT數(shù)學考試的常用方法
且記,做SAT數(shù)學,你所用的方法越簡單,你做對的概率越大!
1.列舉法
2.代入法
3.特殊值法
列舉法解題:
(1)The units digit of 23333 is how much less than the hundredths digit of
(A) 1 (B) 2 (C) 3 (D) 4 (E) 5
(2)what is the units digit of 1597365?
2015年5月2日香港SAT考位查詢結果
代入法解題:
(1)Bob has a pile of poker chips that he wants to arrange in even stacks. If he stacks them in piles of 10, he has 4 chips left over. If he stacks them in piles of 8, he has 2 chips left over. If Bob finally decides to stack the chips in only 2 stacks, how many chips could be in each stack?
A. 14 B. 17 C. 18 D. 24 E. 34
(2)If x and y are two different integers and the product 35xy is the square of an integer, which of the following could be equal to xy?
A. 5 B.70 C. 105 D. 140 E. 350
(3) If x2=y3 and (x-y)2=2x, then y could equal
(A) 64 (B) 16 (C) 8 (D) 4 (E) 2
(4) For positive integers p, t, x and y, if px=ty and x-y=3, which of the following CANNOT equal t?
A. 1 B. 2 C. 4 D. 9 E. 25
(5)If 3t-3>6s+9 and t-5s<12, and s is a positive integer less than 4, then t could be any of the following EXCEPT
A. 6 B. 8 C. 10 D.12 E. 23
(6)If n and p are integers greater than 1 and if p is a factor of both n+3 and n+10, what is the value of p?
A. 3 B. 7 C. 10 D. 13 E. 30
特殊值法:
(1) If x is a positive integer greater than 1, and x3-4x is odd, then x must be
(A) even (B) odd (C) prime (D) a factor of 8 (E) divisible by 8
(2)If the graph above is that of f(x), which of the following could be f(x)
A. f(x)=
B. f(x)=
C. f(x)=|x)+3
D. f(x)=|x+3|
E. f(x)=|3x|
(3) xy=x+y. If y>2, what are all possible values of x that satisfy the equation above?
A. x<0, B. 02
以上內(nèi)容是小編為大家?guī)淼腟AT數(shù)學算數(shù)部分的知識點介紹及常用解題辦法,我們可以看出,做SAT數(shù)學,你所用的方法越簡單,你做對的概率越大!你可以運用列舉法,代入法,特殊值法等來解題,經(jīng)多名考生驗證,絕對高效哦!