SAT数学考试难题解析及备考攻略

2015年02月25日16:24 来源：小站整理

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很多同学在备考SAT数学考试制定计划的时候就非常轻视数学，实际上这是非常不可取的，数学对中国学生来说难度不大，但是意义更大，而且对高分的影响也大，所以大家一定要在备考的过程中多准备一些难题。下面是我们为大家带来的关于SAT数学考试难题的相关介绍！

SAT数学考试难题解析

1.试题

1. If 10+x is 5 more than 10, what is the value of 2x ?

(A)-5 (B) 5 (C) 10 (D) 25 (E) 50

2. If(x -2)2 =49, then x could be

(A) -9 (B) -7 (C) 2 (D) 5 (E) 9

3. If this page was folded along the dotted line in the figure above, the left half of the letter W would exactly coincide with the right half of W. Which of the following letters, as shown, CANNOT be folded along a vertical line so that its left half would coincide with its right half?

(A) A (B) I (C) O (D) U (E) E

4. In a certain store, the regular price of a refrigerator is $600. How much money is saved by buying this refrigerator at 20 percent off the regular price rather than buying it on sale at 10 percent off the regular price with an additional discount of 10 percent off the sale price?

(A) $6 (B) $12 (C) $24 (D) $54 (E) $60

5. Which of the following is the graph of a function f such that f(x) = 0 for exactly two values of x between -5 and 5 ?

(A) (B) (C) (D) (E)

6. Based on the portions of the graphs of the functions f and g shown above, what are all values of x between -6 and 6 for which g x f x ?

(A) -6 < x <-3 only (B) -3 < x < 0 only (C) 0 < x < 3 only (D) 3 < x < 6 only (E) -6 < x < -3 and 0 < x < 3。

7. Point O is the center of both circles in the figure above. If the circumference of the large circle is 36 and the radius of the small circle is half of the radius of the large circle, what is the length of the darkened arc?

(A) 10 (B) 8 (C) 6 (D) 4 (E) 2

8. If x = 20 and y = 30 in the figure above, what is the value of z ?

(A) 60 (B) 70 (C) 80 (D) 90 (E) 100

9. If 6 < |x-3| < 7 and x < 0, what is one possible value of |x| ?

10. What is the product of the smallest prime number that is greater than 50 and the greatest prime number that is less than 50 ?

2.答案

1.(C)， 2. (E)， 3. (E)， 4.(A)， 5.(D)， 6. (B)， 7. (D)， 8. (B)， 9.x < 4, 10.1300

SAT数学考试难题解析之常用的解题方法

对于SAT数学来讲，不论你现在实力水平怎么样，一定要拿满分!这是必须的，同时千万不要对数学掉以轻心，你在国内高中数学的成功并不能代表你在SAT1的数学上不用准备也会拿一个满分，还是需要训练的!

在解SAT的数学的过程中，一定要注意，你所用的方法越简单越好，如果你用的方法非常复杂，比如用了数列的知识，解了一个方程，那么这道题你肯定做错了。数学做题一定要快，同时一定要提高准确率，省下的时间用来跨区涂卡。

SAT数学常用的做题方法：

I. 列举法解题：

(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

解: 23333 的个位数可以用列举法来得到。

(2)what is the units digit of 1597365?

(3)The first three numbers of a sequence are 1, 3, and 5, respectively. Every number in the sequence beyond the first three numbers can be found by taking the three preceding numbers, subtracting the second from the first, and adding the third. Which of the following is the sum of the first 40 numbers of the above sequence?

(A) 6 (B) 12 (C) 24 (D) 120 (E) 480

这道题有的同学尝试用数列的方法来解决，这是错误的，即便你的答案是正确的，因为你浪费了时间。对于复杂数列，在SAT1的数学中碰到，要勇敢的用列举法来解决。

II. 代入法解题：

所谓代入法解题，就是把答案带进去，看一下哪个答案能使得所有的条件都同时满足，而且不冲突。

(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

B.分别把A-E五个选项都带入进去，然后看哪一个能满足题目中的条件：(1)每堆放10个，则剩余4个;(2)每堆放8个，余2个。

(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

带入答案即可。

(3) If x2=y3 and (x-y)2=2x, then y could equal

(A) 64 (B) 16 (C) 8 (D) 4 (E) 2

这道题只能用代入法，因为用直接法无法解决。

SAT数学考试难题解答方法

很多同学在备考SAT数学考试制定计划的时候就非常轻视数学，实际上这是非常不可取的，数学对中国学生来说难度不大，但是意义更大，而且对高分的影响也大，所以大家一定要在备考的过程中多准备一些难题。

SAT数学难题的答题过程就是一个不断转换思维方式的过程，比如在解答很多SAT数学难题时，如果我们从选项着手分析、而不仅仅盯着题干给出的条件，那么解题往往会更加简便。

具体的解题方法是把各个选项逐一代入到原题中，直至得出最后答案。如果题干的问题比较复杂、而选项又全部是数字，或者从题干出发需要联立多个方程式才能解题的话，这种逆向思维往往是最佳方法。

以上就是我们为大家带来的关于SAT数学考试难题的相关介绍！很多同学在备考SAT数学考试制定计划的时候就非常轻视数学，实际上这是非常不可取的，数学对中国学生来说难度不大，但是意义更大，而且对高分的影响也大，所以大家一定要在备考的过程中多准备一些难题。