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五道SAT数学经典试题解析

2013-10-12 13:27:21来源:互联网

  答案:

  1.Correct Answer: B

  Explanation:

  If x = -5, then (x2 – 50) = 25 – 50 = -25 But the sign │x│ means the absolute value of x (the distance between the number and zero on the number line). Absolute values are always positive. │-25 │ = 25

  2.Correct Answer: A

  Explanation:

  Expand as for (a + b)2. (√2 - √3)(√2 - √3) = 2 - 2(√2 + √3) + 3 = 5 - 2 √6

  3.Correct Answer: C

  Explanation:

  All four terms are identical therefore we have 4 (230). But 4 = 22, and so we can write 22. 230 Which is equivalent to 232

  4. Correct Answer: B C

  Explanation:

  Amy can travel clockwise or anticlockwise on the diagram. Clockwise, she has no choice of route from A to B, a choice of one out of two routes from B to C, and a choice of one out of two routes from C back to A. This gives four possible routes. Similarly, anticlockwise she has four different routes. Total routes = 8

  5.Correct Answer: D C

  Explanation:

  If we take AE as the base of triangle AEC, then the height is CD. The height of the triangle is therefore, 9 (given). To find the base we need to see that triangles AEB and CDE are similar. The ratio AB: CD, is therefore equal to the ratio AE: ED. The given information shows that the ratio is 3:9, or 1:3. Now dividing AD (4) in this ratio gives us AE as 1. The area of AEC = base x height =1/2 x 9 = 4.5

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本文关键字: SAT数学 SAT数学经典试题

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