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[img]ct_gre5image016[/img]The circles above, with centers O and P, each have ra
[img]ct_gre5image016[/img]The circles above, with centers O and P, each have ra
游客
2024-01-12
56
管理
问题
The circles above, with centers O and P, each have radius r.
Column A Column B
Twice the area of the shaded region. The area of the circular region with center P.
选项
A、if the quantity in Column A is greater
B、if the quantity in Column B is greater
C、if the two quantity are equal
D、if the relationship cannot be determined from the information given
答案
A
解析
上面图中以O,P为圆心的圆的半径均为r
解:本题的正确答案为(A)。由图可和P点在圆O上,而O点在圆P上,过点O作圆P的切线,由该切线把阴影区分为两部分:半圆+剩余部分。因为两圆面积相同,所以比较左项=2×(半圆的面积+剩余部分的面积)=圆P的面积+2×剩余部分的面积。由此可知比较左项显然大于比较右项。
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