數學問題 答案不只一種

Question

abcd/efghi

abcdefghi各為1~9的數字且各數字都只能用一次

請給我答案 abcd/efghi 要等於 1/2 or 1/3 or ....... or 1/9

好像蠻難解釋的我舉例好了

像 7329/14658=1/2

給我越多答案越好謝謝喔!

可以告訴我有特別的解法嗎?

請問這有特別的算法嗎?

Answer 1

全部有 89 個
如果不限制分母為 1 位數
還有 100 左右
(電腦跑的)
6789/54312 = 1/8
5789/46312 = 1/8
4689/37512 = 1/8
8439/67512 = 1/8
6839/54712 = 1/8
4589/36712 = 1/8
5839/46712 = 1/8
7364/58912 = 1/8
8179/65432 = 1/8
8954/71632 = 1/8

5976/41832 = 1/7
6479/51832 = 1/8
7894/63152 = 1/8
8394/67152 = 1/8
4769/38152 = 1/8
8419/67352 = 1/8
5697/34182 = 1/6
8174/65392 = 1/8
8953/71624 = 1/8
7956/31824 = 1/4

9267/18534 = 1/2
9327/18654 = 1/2
6927/13854 = 1/2
9158/73264 = 1/8
7932/15864 = 1/2
5796/23184 = 1/4
9523/76184 = 1/8
7692/15384 = 1/2
6792/13584 = 1/2
7123/56984 = 1/8

9723/48615 = 1/5
9627/48135 = 1/5
2967/14835 = 1/5
7629/38145 = 1/5
3729/18645 = 1/5
2769/13845 = 1/5
2973/14865 = 1/5
9237/46185 = 1/5
6297/31485 = 1/5
2697/13485 = 1/5

3297/16485 = 1/5
2937/14685 = 1/5
9352/74816 = 1/8
5418/37926 = 1/7
5892/47136 = 1/8
8942/71536 = 1/8
9273/18546 = 1/2
7923/15846 = 1/2
8932/71456 = 1/8
9182/73456 = 1/8

7293/14586 = 1/2
3187/25496 = 1/8
5832/17496 = 1/3
7312/58496 = 1/8
5237/41896 = 1/8
5274/36918 = 1/7
4653/27918 = 1/6
6791/54328 = 1/8
9416/75328 = 1/8
5791/46328 = 1/8

9541/76328 = 1/8
5916/47328 = 1/8
7416/59328 = 1/8
7941/63528 = 1/8
9316/74528 = 1/8
4691/37528 = 1/8
4591/36728 = 1/8
6741/53928 = 1/8
7269/14538 = 1/2
9156/73248 = 1/8

9531/76248 = 1/8
6729/13458 = 1/2
7329/14658 = 1/2
2943/17658 = 1/6
2394/16758 = 1/7
9421/75368 = 1/8
5921/47368 = 1/8
7421/59368 = 1/8
9321/74568 = 1/8
4392/17568 = 1/4

3942/15768 = 1/4
5371/42968 = 1/8
7614/53298 = 1/7
6381/57429 = 1/9
6471/58239 = 1/9
8361/75249 = 1/9
2637/18459 = 1/7
5823/17469 = 1/3
4527/31689 = 1/7
如果有問題, 請來函討論. 不然, 我可能會錯失你再補充的疑點.

Answer 2

我說JJ啊
你喔 都打一些你是什麼數學教師 電腦工程師
真的才能講ㄋㄟ
還是只要奪取最加解答啊?

2007-02-18 22:04:05 補充：
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