SAT数学Problem Solving练习题（4）

>>SAT考试：SAT数学Problem Solving练习题（4）

>>SAT考试辅导：精品课程高端指导

Question #7: A square with the side equal to square root of 2 is inscribed in a circle. What is the area outside the square that is inside the circle?

(a) ¶ + 1

(b) ¶ - 1

(c) ¶ - 2

(d) ¶

(e) ¶ + 2

Answer: The diagonal of the square is √2 · √2 = (√ 2)2 = 2. This is also the diameter of the circle.

The area outside the square and inside the circle is:

Areacircle - Areasquare = ¶ · 22/4 - 2 = ¶ - 2

Question #8: What is the value of (x + 2y) 2 if x 2 + 4 · y 2 = 2 and x · y = 3

(a) 13

(b) 14

(c) 16

(d) 18

(e) 22

Answer: (x + 2y) 2 = x 2 + 4 · y 2 + 4 · x · y = 2 + 12 = 14

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