200人排成一个5层的空心方阵,那么方阵最外层人数为( )人。A. 17 . 56 C. 15 D. 58

作者: rantiku 人气: - 评论: 0
问题 200人排成一个5层的空心方阵,那么方阵最外层人数为( )人。 A. 17 . 56 C. 15 D. 58
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答案 B
解析 方阵中从外到内每边的人数依次递减2人,设最外一层每边人数为x人, 那么空心部分每边人数应为(x-10),根据题意可知:x2 -(x-10)2 =200,解得x=15,即方阵最外层每边人数为15人,那么最外层一共有4×15 -4 = 56(人)。答案为B。

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