2015年3月SAT数学真题详细解析

2022-06-12 10:03:52

  

  1. If 2 x + 3 = 9, what is the value of 4 x – 3 ?

  (A) 5 (B) 9 (C) 15 (D) 18 (E) 21

  2. If 4(t + u) + 3 = 19, then t + u = ?

  (A) 3 (B) 4 (C) 5 (D) 6 (E) 7

  3. In the xy-coordinate (坐标) plane above, the line contains the points (0,0) and (1,2). If line M (not shown) contains the point (0,0) and is perpendicular (垂直) to L, what is an equation of M?

  (A) y = -1/2 x (B) y = -1/2 x + 1 (C) y = - x (D) y = - x + 2 (E) y = -2x

  4. If K is divisible by 2,3, and 15, which of the following is also divisible by these numbers?

  (A) K + 5 (B) K + 15 (C) K + 20 (D) K + 30 (E) K + 45

  5. There are 8 sections of seats in an auditorium. Each section contains at least 150 seats but not more than 200 seats. Which of the following could be the number of seats in this auditorium?

  (A) 800 (B) 1,000 (C) 1,100 (D) 1,300 (E) 1,700

  6. If rsuv = 1 and rsum = 0, which of the following must be true?

  (A) r < 1 (B) s < 1 (C) u= 2 (D) r = 0 (E) m = 0

  7. The least integer of a set of consecutive integers (连续整数) is –126. if the sum of these integers is 127, how many integers are in this set?

  (A) 126 (B) 127 (C) 252 (D) 253 (E) 254

  8. A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory. There are 200 seniors, 300 juniors, and 400 sophomores who applied. Each senior’s name is placed in the lottery 3 times; each junior’s name, 2 time; and each sophomore’s name, 1 times. If a student’s name is chosen at random from the names in the lottery, what is the probability that a senior’s name will be chosen?

  (A)1/8 (B) 2/9 (C) 2/7 (D) 3/8 (E) 1/2

  SAT数学真题解题要点:

  要点1:一定要审好题,即搞清楚明给的条件,暗示的条件以及所求的内容。

  要点2:一定要一步一步地演算,不要跳过每一步骤。你可能认为这样会耽误时间,这样一步一个脚印地走下去不仅不会耽误时间,反而因为不用回头检查会节省时间;况且往往检查的思路和作题思路相同,常常有错也不易查出。

  要点3: 确认直接求得的未知数是否是试题的最后所问。SAT试题中常有类似X+1等于几的问题,考生常常解出了X就完事了,忘了题目问的是X+1而不是X。

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