Re: [中學] 3*3 方塊一列一行對角線的積都相等

看板Math作者aromaQ626 (摳咪霉庇)時間8年前 (2017/09/15 22:25)推噓0(0推 0噓 0→)

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※ 引述《jimmychengTW (同手同腳)》之銘言： : 圖示 : 5 □ X : 4 □ □ : □ 1 □ : 求X : 謝謝令原題為一3*3矩陣且 5 C X 4 B D A 1 E 直行橫列斜角的積為定值且 ABCDEX ≠ 0 則最左行及最下列 5 * 4 * A = A * 1 * E => E = 20 最左行及左上右下斜角 5 * 4 * A = 5 * B * E => A:B = 5:1 最左行及中間行 5 * 4 * A = C * B * 1 => C = 100 中間列及最下列 4 * B * D = A * 1 * E => D = 25 最上列及左下右上斜角 5 * C * X = X * A * B => A * B = 500 => A = 50, B = 10 or A = -50, B = -10 A = 50, B = 10 => X = 2 A = -50, B = -10 => X = -2 --

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uhmeiouramu

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strike5566

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ccchenny

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