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A regular n-side polygon and a regular (n+1)-side polygon have (2n+1) interior a
A regular n-side polygon and a regular (n+1)-side polygon have (2n+1) interior a
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2025-02-23
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问题
A regular n-side polygon and a regular (n+1)-side polygon have (2n+1) interior angles in total.
Quantity A: The median of (2n+1) interior angles
Quantity B: 90
选项
A、Quantity A is greater.
B、Quantity B is greater.
C、The two quantities are equal.
D、The relationship cannot be determined from the information given.
答案
D
解析
正n边形的内角角度为
(设为a),正n+1边形的内角角度为
(设为b),a<b。该组数据为n个a和n+1个b组成,奇数个数据的中位数为最中间的数,为b=
。n=3时,Quantity A=Quantity B;n>3时,Quantity A>Quantity B。故答案为D。
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