如圖,使用數字112,數字只能用一次,使各邊數的和為

2021-03-09 15:28:51 字數 3310 閱讀 6987

1樓:匿名使用者

將1—12這十二個數分別填入圖中的十二個小圓圈裡,使每條直回線上的四個小圓圈中的數字之答和等於26.

【分析】:

此圖可看作由兩個三角形組成,先看尖向上的三角形,把1、2和10寫在頂點上.其中一條邊,1+10=11,那麼另外兩個空的和為26-11=15,因為10用過了,所以只能填7和8;另一條邊10+2=12,另外兩個空的和為26-12=14,所以只能是9和5;再看底邊,1+2=3,所以另外兩個空只能是11+12=23.這樣就還剩下尖向下的三角形三個頂點上的數字,先看底邊,7+9=16,那麼另外兩個空為4和6,最後一個頂點就為3.

2樓:匿名使用者

分組1+12,2+11,3+10,4+9,5+8,6+7

3樓:匿名使用者

我只是留一個記錄,沒有人家的聰明才智,謝謝

4樓:匿名使用者

1+2+……+12=78,

26=1+2+11+12=1+6+9+10=2+7+8+9=3+5+6+12=3+4+8+11=4+5+7+10,

剩下部分讓您自己完成,可以嗎?

你能將數字1到12填入下圖六角星的圓圈中,使得任何一條直線上的4個數字之和均為26嗎? 5

5樓:寒夜de幽雪

按照我的順序填入,先給你100個,不夠問我要4,6,7,9,8,3,11,5,1,2,10,124,6,7,9,8,12,2,5,10,11,1,34,6,9,7,3,11,8,10,1,5,12,24,6,9,7,10,1,11,3,5,2,8,124,6,9,7,12,2,8,1,10,5,3,114,7,9,6,8,11,3,5,12,10,1,24,7,9,6,11,1,10,2,8,3,5,124,7,9,6,8,2,12,5,3,1,10,114,9,7,6,11,3,8,2,10,5,1,124,9,7,6,2,12,8,11,1,5,10,36,4,7,9,10,8,2,3,12,11,1,56,4,7,9,3,12,5,10,2,8,11,16,4,7,9,12,3,5,1,11,8,2,106,4,9,7,8,10,2,5,12,11,3,16,4,9,7,8,1,11,5,3,2,12,106,7,9,4,2,10,8,11,3,5,12,16,7,9,4,11,1,8,2,12,5,3,106,9,7,4,2,8,10,11,1,3,12,56,9,7,4,5,3,12,8,2,1,11,106,9,7,4,5,12,3,8,11,10,2,17,6,4,9,11,3,5,2,10,8,1,127,6,4,9,2,12,5,11,1,8,10,37,4,6,9,8,1,10,5,2,3,11,127,4,6,9,8,10,1,5,11,12,2,37,4,6,9,11,5,3,2,12,10,1,87,9,4,6,5,3,11,8,1,2,10,127,9,4,6,5,12,2,8,10,11,1,37,9,6,4,1,10,8,12,2,5,11,37,9,6,4,10,1,8,3,11,5,2,127,9,6,4,3,5,11,10,1,2,12,89,6,4,7,5,2,10,8,1,3,12,119,6,4,7,5,11,1,8,10,12,3,29,6,4,7,2,12,3,11,5,10,8,19,7,6,4,5,10,2,8,12,11,3,19,7,6,4,5,1,11,8,3,2,12,109,7,4,6,10,2,5,3,12,8,1,119,7,4,6,1,11,5,12,3,8,10,29,7,4,6,3,12,2,10,8,11,5,19,4,6,7,2,10,5,11,3,8,12,19,4,6,7,11,1,5,2,12,8,3,104,5,9,8,11,1,10,2,6,3,7,124,8,9,5,10,1,11,3,7,2,6,125,4,8,9,11,7,3,2,12,10,1,65,9,8,4,3,7,11,10,1,2,12,68,4,5,9,10,6,2,3,12,11,1,78,9,5,4,2,6,10,11,1,3,12,79,5,4,8,3,12,2,10,6,11,7,19,8,4,5,2,12,3,11,7,10,6,13,6,8,9,7,11,5,2,10,12,1,43,6,9,8,11,2,10,1,7,4,5,123,6,9,8,4,12,7,10,1,5,11,23,6,9,8,7,4,12,5,1,2,11,103,8,6,9,2,10,11,1,5,12,4,73,8,6,9,12,10,1,11,5,2,4,77,10,5,4,9,2,8,3,11,6,1,127,10,5,4,6,2,11,8,3,1,9,1210,5,7,4,11,3,2,12,8,1,9,610,5,7,4,1,3,12,2,8,11,9,610,5,4,7,1,9,6,11,2,8,12,310,5,4,7,6,1,9,8,2,3,12,1110,5,4,7,3,11,2,9,8,12,6,110,7,5,4,6,2,8,11,3,1,12,910,7,4,5,6,9,1,8,12,11,2,310,7,4,5,9,1,6,3,12,8,2,1110,7,4,5,2,11,3,12,6,9,8,110,4,7,5,2,3,11,1,9,12,8,610,4,7,5,12,3,1,11,9,2,8,610,4,5,7,8,2,6,1,12,11,3,93,5,10,8,4,12,7,9,2,6,11,13,8,10,5,7,12,4,6,11,9,2,15,3,8,10,4,11,6,9,1,7,12,25,10,8,3,6,11,4,7,12,9,1,28,3,5,10,7,2,9,6,1,4,12,118,10,5,3,9,2,7,4,12,6,1,1110,5,3,8,6,1,9,7,2,4,11,1210,8,3,5,9,1,6,4,11,7,2,122,6,8,10,7,5,12,3,1,4,9,112,6,10,8,9,3,12,1,5,4,7,112,6,10,8,12,9,3,4,11,7,1,52,6,10,8,12,3,9,4,5,1,7,112,8,10,6,3,9,12,7,1,4,11,52,8,10,6,9,3,12,1,7,4,5,112,8,10,6,12,3,9,4,7,1,5,112,10,8,6,12,5,7,4,9,3,1,116,2,8,10,9,7,4,1,11,12,3,56,2,8,10,12,7,1,4,11,9,3,56,2,8,10,12,1,7,4,5,3,9,116,2,10,8,7,9,4,3,11,12,5,16,8,10,2,4,9,7,12,5,3,11,16,10,8,2,4,7,9,12,3,1,11,56,10,8,2,1,7,12,9,3,4,11,56,10,8,2,7,1,12,3,9,4,5,118,6,2,10,4,11,3,12,1,7,9,58,2,6,10,9,5,4,1,11,12,3,78,2,6,10,3,11,4,7,5,12,9,18,2,6,10,12,5,1,4,11,9,3,78,10,2,6,3,11,4,7,9,12,1,58,10,6,2,4,5,9,12,3,1,11,78,10,6,2,4,11,3,12,9,7,5,18,10,6,2,1,5,12,9,3,4,11,7

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