SAT数学Problem Solving练习题(4)
- 2017年07月21日14:33 来源:互联网
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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