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[img]ct_gre5image072[/img]Polygon SUVNPQ is equilateral and equiangular and TWO
[img]ct_gre5image072[/img]Polygon SUVNPQ is equilateral and equiangular and TWO
游客
2024-01-12
43
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问题
Polygon SUVNPQ is equilateral and equiangular and TWOR is a rectangle.
Column A Column B
x/y l
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
多边形SUVNPQ是等边多边形,且其内角均相等,TWOR是长方形。
解:本题的正确答案为(A)。由n边形内角和公式可得此等边六边形的内角和为:(n-2)×180o=(6-2) ×180o=720o,再由内角相等可得故每个内角为720/6=120o,由此可以推出∠TUS=60o,∠UST=30o。设该多边形边长为a,则根据三角形的边角关系(在直角三角形中30o所对的直角边等于斜边的一半)和勾股定理,可以得到矩形的边长为:x=2a, y=根号3 a
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