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[img]ct_gre5image002[/img]The diameter of the circle is 10.Column A
[img]ct_gre5image002[/img]The diameter of the circle is 10.Column A
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2024-01-12
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问题
The diameter of the circle is 10.
Column A Column B
The area of the region enclosed by quadrilateral ABCD 40
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
D
解析
本题的正确答案为(D)。比较的左项为四边形(quadrilateral)ABCD的面积。四边形ABCD是不规则四边形,在计算其面积时,可以把它分成两个三角形计算。对于该题,因为A、B、C和D四点的位置不确定,因此其面积也是不确定的。考生可以观察到当B和D点向C点靠近时,四边形面积ABCD的面积将逐渐减小,且可以任意地小;而当B、D居中时,面积将逐渐增大,当ABCD为正方形时,ABCD的面积达最大值=1/2×10×5×2=50;综上所述,四边形ABCD的面积将在0至50之间波动,所以本题无法判断比较左项与右项的大小。
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