避開所有方形 - 拼圖

By Erin
at 2012-07-13T11:31
at 2012-07-13T11:31
Table of Contents
避開所有方形
┌─────────────────────────────────────┐
│◎Question ┌─┬─┬─┬─┬─┐ │
│ 這是個二人玩的遊戲,玩家輪流將硬幣放入5x5的方格 │ │ │ │●│ │ │
│ 中,避免任四枚硬幣連成正方形。右圖顯示兩種可能的 ├─┼─┼─┼─┼─┤ │
│ 正方形位置,顏色不同只是為了表示方便。 │●│ │ │ │ │ │
│ ├─┼─┼─┼─┼─┤ │
│ 在5x5方格中,共有幾種形成正方形的排法? │○│ │○│ │ │ │
│ 最多可以置入多少硬幣而完全不形成正方形? ├─┼─┼─┼─┼─┤ │
│ │ │ │ │ │●│ │
│◎Answer ├─┼─┼─┼─┼─┤ │
│ 答案請開燈:50種/15枚(參見下方推文) │○│●│○│ │ │ │
│ └─┴─┴─┴─┴─┘ │
└─────────────────────────────────────┘
※題目出處:《數學遊樂園之舉一反三》(牛頓,1996)第66、67、140頁。
--
┌─────────────────────────────────────┐
│◎Question ┌─┬─┬─┬─┬─┐ │
│ 這是個二人玩的遊戲,玩家輪流將硬幣放入5x5的方格 │ │ │ │●│ │ │
│ 中,避免任四枚硬幣連成正方形。右圖顯示兩種可能的 ├─┼─┼─┼─┼─┤ │
│ 正方形位置,顏色不同只是為了表示方便。 │●│ │ │ │ │ │
│ ├─┼─┼─┼─┼─┤ │
│ 在5x5方格中,共有幾種形成正方形的排法? │○│ │○│ │ │ │
│ 最多可以置入多少硬幣而完全不形成正方形? ├─┼─┼─┼─┼─┤ │
│ │ │ │ │ │●│ │
│◎Answer ├─┼─┼─┼─┼─┤ │
│ 答案請開燈:50種/15枚(參見下方推文) │○│●│○│ │ │ │
│ └─┴─┴─┴─┴─┘ │
└─────────────────────────────────────┘
※題目出處:《數學遊樂園之舉一反三》(牛頓,1996)第66、67、140頁。
--
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