SAT数学练习题 含详细答案及解析(1)
- 2017年07月21日13:12 来源：互联网
- 参与（0） 阅读（4724）
下面是几道SAT数学练习题，每道题目后面都有答案和详细的解析，希望同学们在练习的时候先不看答案，看看自己的能做对几道题，然后再与答案对照，找出错题原因，针对自己的SAT数学复习进行查漏补缺。
1. If f(x) = x² – 3, where x is an integer, which of the following could be a value of f(x)?
I 6
II 0
III -6
A. I only
B. I and II only
C. II and III only
D. I and III only
E. I, II and III
Correct Answer: A
解析:
Choice I is correct because f(x) = 6 when x=3. Choice II is incorrect because to make f(x) = 0, x² would have to be 3. But 3 is not the square of an integer. Choice III is incorrect because to make f(x) = 0, x² would have to be –3 but squares cannot be negative. (The minimum value for x2 is zero; hence, the minimum value for f(x) = -3)
2. For how many integer values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 200?
A. 48
B. 49
C. 50
D. 51
E. 52
Correct Answer: C
解析:
1 < 4n + 7 < 200. n can be 0, or -1. n cannot be -2 or any other negative integer or the expression 4n + 7 will be less than1. The largest value for n will be an integer < (200 - 7) /4. 193/4 = 48.25, hence 48. The number of integers between -1 and 48 inclusive is 50
