起因:
有一次在学校,我偶然看到了别人在玩24点,便走去观战,我看他们在2,2,5,6,上卡住了,于是我对他们说2+(5+6)×2=24 他们恍然大悟,连声对我道谢。我看24点这么有意思便下定决心要研究24点这个奇妙的游戏。
问题提出点:
①玩24点有什么技巧吗?②大家都会玩24点可是24点又一共有多少个组合呢?③玩24点有什么好处呢?
问题的
分析
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:
⒈相信大家一定玩过24点这个有趣的游戏,可是大家是不是经常输给对手呢?现在我就教你3种最简单的方法,这4种方法可以让你的获胜几率大大提升。
方法一
利用3×8=24、4×6=24求解.
把牌面上的四个数想办法凑成3和8、4和6,再相乘求解.如1,4,6,9可以组成6×(9-4-1)=24等.又如2、3、3、7可组成(7+3—2)×3=24等.实践证明,这种方法是利用率最大、命中率最高的一种方法.
方法二(本方法适合有J,Q,K的)
利用0、11的运算特性求解.
如3、4、4、8可组成3×8+4—4=24等.又如4、5、J、K可组成11×(5—4)+13=24等.
方法三
在有解的牌组中,用得最为广泛的是以下六种解法:(我们用a、b、c、d
表
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示牌面上的四个数)
①(a—b)×(c+d) 如(10—4)×(2+2)=24等.
②(a+b)÷c×d 如(10+2)÷2×4=24等.
③(a-b÷c)×d 如(3—2÷2)×12=24等.
④(a+b-c)×d 如(9+5—2)×2=24等.
⑤a×b+c—d 如11×3+l—10=24等.
⑥(a-b)×c+d 如(4—l)×6+6=24等.
方法四
利用2×12=24求解
这和方法一一样,如果方法一求不出来便可以用这个方法,把数字转换成2和12这样便可以相乘求解了。如1,1,2,10可以组成2×(1+10+1)=24 等还比如1,1,3,4 可以组成3×4×(1+1)=24等。事实证明如果你别的方法算不出来你也可以用这个方法。
2.24点是一个有趣的游戏可是大家一定不知道24点一共有多少组合现在让我来告诉你吧
1,1,1,8 --- 8×(1+1+1)=24
1,1,2,6 --- 2×6×(1+1)=24
1,1,2,7 --- (1+2)×(7+1)=24
1,1,2,8 --- (1+2)×8×1=24
1,1,2,9 --- (1+2)×(9-1)=24
1,1,2,10 --- 2×(1+10+1)=24
1,1,3,4 --- 3×4×(1+1)=24
1,1,3,5 --- (1+3)×(5+1)=24
1,1,3,6 --- (1+3)×6×1=24
1,1,3,7 --- (1+3)×(7-1)=24
1,1,3,8 --- 1+3×8-1=24
1,1,3,9 --- 1×3×(9-1)=24
1,1,3,10 --- 3×(10-1-1)=24
1,1,4,4 --- 4×(1+4+1)=24
1,1,4,5 --- (1+4)×5-1=24
1,1,4,6 --- 1+4×6-1=24
1,1,4,7 --- 1×4×(7-1)=24
1,1,4,8 --- (4-1)×8×1=24
1,1,4,9 --- (4-1)×(9-1)=24
1,1,4,10 --- 4+10×(1+1)=24
1,1,5,5 --- (1+5)×(5-1)=24
1,1,5,6 --- (5-1)×6×1=24
1,1,5,7 --- (5-1)×(7-1)=24
1,1,5,8 --- 8×(5-1-1)=24
1,1,6,6 --- (6+6)×(1+1)=24
1,1,6,8 --- 6×8÷(1+1)=24
1,1,6,9 --- 6+9×(1+1)=24
1,1,7,10 --- 10+7×(1+1)=24
1,1,8,8 --- 8+8×(1+1)=24
1,2,2,4 --- 2×4×(2+1)=24
1,2,2,5 --- (2+2)×(5+1)=24
1,2,2,6 --- (2+2)×6×1=24
1,2,2,7 --- (2+2)×(7-1)=24
1,2,2,8 --- 8×(2+2-1)=24
1,2,2,9 --- 2×(2+9+1)=24
1,2,2,10 --- 2+2×(10+1)=24
1,2,3,3 --- 2×3×(3+1)=24
1,2,3,4 --- 2×3×4×1=24
1,2,3,5 --- (2+3)×5-1=24
1,2,3,6 --- 3×(2+6)×1=24
1,2,3,7 --- 2+3×7+1=24
1,2,3,8 --- 2×(3+8+1)=24
1,2,3,9 --- 2×(3+9)×1=24
1,2,3,10 --- 2×(3+10-1)=24
1,2,4,4 --- (2+4)×4×1=24
1,2,4,5 --- (2+4)×(5-1)=24
1,2,4,6 --- 4×6×(2-1)=24
1,2,4,7 --- 2×(4+7+1)=24
1,2,4,8 --- 2×(4+8)×1=24
1,2,4,9 --- 2×(4+9-1)=24
1,2,4,10 --- 4+2×10×1=24
1,2,5,5 --- 5×5-2+1=24
1,2,5,6 --- 2×(5+6+1)=24
1,2,5,7 --- 2×(5+7)×1=24
1,2,5,8 --- 2×(5+8-1)=24
1,2,5,9 --- 5+2×9+1=24
1,2,5,10 --- 5+2×10-1=24
1,2,6,6 --- 2×(6+6)×1=24
1,2,6,7 --- 2×(6+7-1)=24
1,2,6,8 --- 6+2×(8+1)=24
1,2,6,9 --- 6+2×9×1=24
1,2,6,10 --- 6+2×(10-1)=24
1,2,7,7 --- (7×7-1)÷2=24
1,2,7,8 --- 7+2×8+1=24
1,2,7,9 --- 2×7+9+1=24
1,2,7,10 --- 2×7+10×1=24
1,2,8,8 --- 2×8+8×1=24
1,2,8,9 --- 2×8+9-1=24
1,2,8,10 --- 10+2×(8-1)=24
1,3,3,3 --- (3+3)×(3+1)=24
1,3,3,4 --- (3+3)×4×1=24
1,3,3,5 --- (3+3)×(5-1)=24
1,3,3,6 --- 3+3×(6+1)=24
1,3,3,7 --- 3+3×7×1=24
1,3,3,8 --- 3+3×(8-1)=24
1,3,3,9 --- (3+9)×(3-1)=24
1,3,3,10 --- 3×(10-3+1)=24
1,3,4,4 --- 3×(4+4)×1=24
1,3,4,5 --- 3+4×5+1=24
1,3,4,6 --- 6÷(1-3÷4)=24
1,3,4,7 --- 4+3×7-1=24
1,3,4,8 --- (4+8)×(3-1)=24
1,3,4,9 --- 4×(9-3)×1=24
1,3,4,10 --- 4+10×(3-1)=24
1,3,5,6 --- 5+3×6+1=24
1,3,5,7 --- (5+7)×(3-1)=24
1,3,5,8 --- 3×5+8+1=24
1,3,5,9 --- 3×5+9×1=24
1,3,5,10 --- 3×5+10-1=24
1,3,6,6 --- 3×6+6×1=24
1,3,6,7 --- 3×6+7-1=24
1,3,6,8 --- (6-3)×8×1=24
1,3,6,9 --- (6-3)×(9-1)=24
1,3,6,10 --- 3×10-6×1=24
1,3,7,7 --- (7-3)×(7-1)=24
1,3,7,8 --- 8×(7-3-1)=24
1,3,7,9 --- 9÷3×(7+1)=24
1,3,7,10 --- 10+7×(3-1)=24
1,3,8,8 --- 8÷3×(8+1)=24
1,3,8,9 --- 8÷3×9×1=24
1,3,8,10 --- 8÷3×(10-1)=24
1,3,9,9 --- 9÷3×(9-1)=24
1,3,9,10 --- 3×(10+1)-9=24
1,3,10,10 --- 3+10+10+1=24
1,4,4,4 --- 4+4×(4+1)=24
1,4,4,5 --- 4+4×5×1=24
1,4,4,6 --- 4+4×(6-1)=24
1,4,4,7 --- 4×4+7+1=24
1,4,4,8 --- 4×4+8×1=24
1,4,4,9 --- 4×4+9-1=24
1,4,4,10 --- 4×(10-4)×1=24
1,4,5,5 --- 4+5×(5-1)=24
1,4,5,6 --- 6÷(5÷4-1)=24
1,4,5,7 --- 4×7-5+1=24
1,4,5,8 --- 8+4×(5-1)=24
1,4,5,9 --- 5×(9-4)-1=24
1,4,5,10 --- 4×(10-5+1)=24
1,4,6,6 --- 6+6×(4-1)=24
1,4,6,7 --- 6×(7-4+1)=24
1,4,6,8 --- 6×(8-4)×1=24
1,4,6,9 --- 6×(9-4-1)=24
1,4,6,10 --- 10×(4-1)-6=24
1,4,7,7 --- (7-4)×(7+1)=24
1,4,7,8 --- (7-4)×8×1=24
1,4,7,9 --- (7-4)×(9-1)=24
1,4,8,8 --- 4×8-8×1=24
1,4,8,9 --- 4×8-9+1=24
1,4,9,10 --- 4+9+10+1=24
1,4,10,10 --- 4+10+10×1=24
1,5,5,5 --- 5×(5-1÷5)=24
1,5,5,6 --- 5×6-5-1=24
1,5,5,9 --- (9-5)×(5+1)=24
1,5,5,10 --- 5×(10-5)-1=24
1,5,6,6 --- 5×6-6×1=24
1,5,6,7 --- 5×6-7+1=24
1,5,6,8 --- 6×(8-5+1)=24
1,5,6,9 --- 6×(9-5)×1=24
1,5,6,10 --- 6×(10-5-1)=24
1,5,7,8 --- 8×(7-5+1)=24
1,5,7,9 --- (9-5)×(7-1)=24
1,5,7,10 --- 5×7-10-1=24
1,5,8,8 --- (8-5)×8×1=24
1,5,8,9 --- (8-5)×(9-1)=24
1,5,8,10 --- 5+8+10+1=24
1,5,9,9 --- 5+9+9+1=24
1,5,9,10 --- 5+9+10×1=24
1,5,10,10 --- 5+10+10-1=24
1,6,6,6 --- 6×(6-1)-6=24
1,6,6,8 --- 6÷(1-6÷8)=24
1,6,6,9 --- 6×(9-6+1)=24
1,6,6,10 --- 6×(10-6)×1=24
1,6,7,9 --- (9-6)×(7+1)=24
1,6,7,10 --- 6+7+10+1=24
1,6,8,8 --- 8×(8-6+1)=24
1,6,8,9 --- 6+8+9+1=24
1,6,8,10 --- 6+8+10×1=24
1,6,9,9 --- 6+9+9×1=24
1,6,9,10 --- 6+9+10-1=24
1,7,7,9 --- 7+7+9+1=24
1,7,7,10 --- 7+7+10×1=24
1,7,8,8 --- 7+8+8+1=24
1,7,8,9 --- 7+8+9×1=24
1,7,8,10 --- 7+8+10-1=24
1,7,9,9 --- 7+9+9-1=24
1,7,9,10 --- (10-7)×(9-1)=24
1,8,8,8 --- 8+8+8×1=24
1,8,8,9 --- 8+8+9-1=24
1,8,8,10 --- 8×(10-8+1)=24
2,2,2,3 --- (2+2)×3×2=24
2,2,2,4 --- (2+2)×(4+2)=24
2,2,2,5 --- (2+2×5)×2=24
2,2,2,7 --- 2×(2×7-2)=24
2,2,2,8 --- (2+2+8)×2=24
2,2,2,9 --- 2+(2+9)×2=24
2,2,2,10 --- 2+2+10×2=24
2,2,3,3 --- 2×(3+3)×2=24
2,2,3,4 --- 3×(2+4+2)=24
2,2,3,5 --- 3×(2×5-2)=24
2,2,3,6 --- (2×3+6)×2=24
2,2,3,7 --- (2+3+7)×2=24
2,2,3,8 --- 2+(3+8)×2=24
2,2,3,9 --- 2×3+9×2=24
2,2,3,10 --- 2×(3+10)-2=24
2,2,4,4 --- (2×4+4)×2=24
2,2,4,5 --- 2+4×5+2=24
2,2,4,6 --- (2+4+6)×2=24
2,2,4,7 --- 2+(4+7)×2=24
2,2,4,8 --- (2+4)×8÷2=24
2,2,4,9 --- 2+4+9×2=24
2,2,4,10 --- 2×(4+10-2)=24
2,2,5,5 --- (2+5+5)×2=24
2,2,5,6 --- 2+(5+6)×2=24
2,2,5,7 --- 2×5+7×2=24
2,2,5,8 --- 2×(5+8)-2=24
2,2,5,9 --- 2×(5+9-2)=24
2,2,5,10 --- (5-2)×(10-2)=24
2,2,6,6 --- (2+6)×6÷2=24
2,2,6,7 --- 2×(6+7)-2=24
2,2,6,8 --- 2+6+8×2=24
2,2,6,9 --- (6÷2+9)×2=24
2,2,6,10 --- 2×6+10+2=24
2,2,7,7 --- 2×(7+7-2)=24
2,2,7,8 --- 2×7+8+2=24
2,2,7,10 --- 2×(7+10÷2)=24
2,2,8,8 --- 2×(8+8÷2)=24
2,2,8,9 --- 8+2×9-2=24
2,2,8,10 --- 2×8+10-2=24
2,2,9,10 --- 10+(9-2)×2=24
2,2,10,10 --- 2+10+10+2=24
2,3,3,3 --- (3+3×3)×2=24
2,3,3,5 --- 3+3×(5+2)=24
2,3,3,6 --- (3+3+6)×2=24
2,3,3,7 --- 3×(3+7-2)=24
2,3,3,8 --- (3+3)×8÷2=24
2,3,3,9 --- 3+3+9×2=24
2,3,3,10 --- 3×(3+10÷2)=24
2,3,4,4 --- 3×4×(4-2)=24
2,3,4,5 --- (3+4+5)×2=24
2,3,4,6 --- 3×(4+6-2)=24
2,3,4,7 --- 4+(3+7)×2=24
2,3,4,8 --- 3×(4+8÷2)=24
2,3,4,9 --- 4×(3+9)÷2=24
2,3,4,10 --- 3×4+10+2=24
2,3,5,5 --- (3+5)×(5-2)=24
2,3,5,6 --- (3+5)×6÷2=24
2,3,5,7 --- 3×5+7+2=24
2,3,5,8 --- 3+5+8×2=24
2,3,5,9 --- (3+5×9)÷2=24
2,3,5,10 --- (5-3+10)×2=24
2,3,6,6 --- (3×6-6)×2=24
2,3,6,7 --- 3+6×7÷2=24
2,3,6,8 --- 3×6+8-2=24
2,3,6,9 --- (6-3+9)×2=24
2,3,6,10 --- 3×(6+10)÷2=24
2,3,7,7 --- 3+7+7×2=24
2,3,7,8 --- (7-3+8)×2=24
2,3,7,9 --- 3×(7+9)÷2=24
2,3,7,10 --- 7-3+10×2=24
2,3,8,8 --- 3×(8+8)÷2=24
2,3,8,9 --- 8×(9-3×2)=24
2,3,8,10 --- 8+10+3×2=24
2,3,9,9 --- 9-3+9×2=24
2,3,9,10 --- 3+9+10+2=24
2,3,10,10 --- 10-(3-10)×2=24
2,4,4,4 --- (4+4+4)×2=24
2,4,4,5 --- (4+4)×(5-2)=24
2,4,4,6 --- 4+(4+6)×2=24
2,4,4,7 --- 4+4×(7-2)=24
2,4,4,8 --- 4+4+8×2=24
2,4,4,9 --- 4×(9-2)-4=24
2,4,4,10 --- 4+4×10÷2=24
2,4,5,5 --- 4+(5+5)×2=24
2,4,5,6 --- 4+5×(6-2)=24
2,4,5,7 --- 4×(5+7)÷2=24
2,4,5,8 --- 4+5×8÷2=24
2,4,5,9 --- (9-5)×(4+2)=24
2,4,5,10 --- 4+10+5×2=24
2,4,6,6 --- 4×(6+6)÷2=24
2,4,6,7 --- 4+6+7×2=24
2,4,6,8 --- 6÷4×8×2=24
2,4,6,9 --- 6+4×9÷2=24
2,4,6,10 --- (6-4+10)×2=24
2,4,7,7 --- (7+7)×2-4=24
2,4,7,8 --- 4×7-8÷2=24
2,4,7,9 --- (7-4+9)×2=24
2,4,7,10 --- (7-4)×(10-2)=24
2,4,8,8 --- 8+4×8÷2=24
2,4,8,9 --- 8×(9-4-2)=24
2,4,8,10 --- 4+8+10+2=24
2,4,9,9 --- 4+9+9+2=24
2,4,9,10 --- 4×9-10-2=24
2,4,10,10 --- 10×(4÷10+2)=24
2,5,5,7 --- 5+5+7×2=24
2,5,5,8 --- 8×(5÷5+2)=24
2,5,5,9 --- 5+9+5×2=24
2,5,5,10 --- (5-2÷10)×5=24
2,5,6,6 --- 6+6×(5-2)=24
2,5,6,7 --- 6×(7-5+2)=24
2,5,6,8 --- 5×6-8+2=24
2,5,6,9 --- 9+6×5÷2=24
2,5,6,10 --- 6÷5×10×2=24
2,5,7,7 --- 7+7+5×2=24
2,5,7,8 --- 8×(5×2-7)=24
2,5,7,9 --- 5×7-9-2=24
2,5,7,10 --- 5+7+10+2=24
2,5,8,8 --- (5×8+8)÷2=24
2,5,8,9 --- 5+8+9+2=24
2,5,8,10 --- (8-5)×(10-2)=24
2,5,9,10 --- 9-5+10×2=24
2,5,10,10 --- (10÷5+10)×2=24
2,6,6,6 --- 6+6+6×2=24
2,6,6,7 --- (6+6×7)÷2=24
2,6,6,8 --- 6×(8-6+2)=24
2,6,6,9 --- (6×9-6)÷2=24
2,6,6,10 --- 6+6+10+2=24
2,6,7,8 --- 8×(7-6+2)=24
2,6,7,9 --- 6+7+9+2=24
2,6,7,10 --- (10-7)×(6+2)=24
2,6,8,8 --- 6+8+8+2=24
2,6,8,9 --- 8÷6×9×2=24
2,6,8,10 --- (8-6+10)×2=24
2,6,9,9 --- (9-6+9)×2=24
2,6,9,10 --- 6×(9-10÷2)=24
2,6,10,10 --- 6+10+10-2=24
2,7,7,8 --- 7+7+8+2=24
2,7,7,10 --- 7×(10÷7+2)=24
2,7,8,8 --- (7×8-8)÷2=24
2,7,8,9 --- (7+9)×2-8=24
2,7,9,10 --- 7+9+10-2=24
2,7,10,10 --- (10-7)×(10-2)=24
2,8,8,8 --- 8×(8÷8+2)=24
2,8,8,9 --- 8×(9-8+2)=24
2,8,8,10 --- 8+8+10-2=24
2,8,9,9 --- 8+9+9-2=24
2,8,9,10 --- 8×(10-9+2)=24
2,8,10,10 --- 8×(10÷10+2)=24
2,9,10,10 --- 9+10+10÷2=24
3,3,3,3 --- 3×3×3-3=24
3,3,3,4 --- 3+(3+4)×3=24
3,3,3,5 --- 3×3+5×3=24
3,3,3,6 --- 3+3+6×3=24
3,3,3,7 --- (3+3)×(7-3)=24
3,3,3,8 --- 3+3×8-3=24
3,3,3,9 --- 3×(9-3÷3)=24
3,3,3,10 --- 3+3×(10-3)=24
3,3,4,4 --- 3×4+4×3=24
3,3,4,5 --- 3×(4+5)-3=24
3,3,4,6 --- 3+4×6-3=24
3,3,4,7 --- 3×(4+7-3)=24
3,3,4,8 --- (4-3)×8×3=24
3,3,4,9 --- (3-4+9)×3=24
3,3,5,5 --- 5×5-3÷3=24
3,3,5,6 --- (3+5)×(6-3)=24
3,3,5,7 --- (3×5-7)×3=24
3,3,5,9 --- (3+5)×9÷3=24
3,3,5,10 --- (3-5+10)×3=24
3,3,6,6 --- 3×(6+6÷3)=24
3,3,6,7 --- 6+3×7-3=24
3,3,6,8 --- (3+6)×8÷3=24
3,3,6,9 --- 3-6+9×3=24
3,3,6,10 --- (3×6-10)×3=24
3,3,7,7 --- 7×(3÷7+3)=24
3,3,7,8 --- 7+8+3×3=24
3,3,7,9 --- 3+7×9÷3=24
3,3,8,8 --- 8÷(3-8÷3)=24
3,3,8,9 --- 8×(9-3-3)=24
3,3,8,10 --- 3+8+10+3=24
3,3,9,9 --- 3+9+9+3=24
3,3,9,10 --- 3-9+10×3=24
3,4,4,4 --- 4×(4+3)-4=24
3,4,4,5 --- 4×4+5+3=24
3,4,4,6 --- (4+4)×(6-3)=24
3,4,4,7 --- (4÷4+7)×3=24
3,4,4,8 --- 4+4×(8-3)=24
3,4,4,9 --- (4+4)×9÷3=24
3,4,4,10 --- 4×(10-3)-4=24
3,4,5,5 --- 4+5+5×3=24
3,4,5,6 --- 6×(5-4+3)=24
3,4,5,7 --- 4+5×(7-3)=24
3,4,5,8 --- (4+5)×8÷3=24
3,4,5,9 --- (4-5+9)×3=24
3,4,5,10 --- 4÷5×10×3=24
3,4,6,6 --- (6-4+6)×3=24
3,4,6,8 --- 6×(4+8)÷3=24
3,4,6,9 --- (6-4)×(9+3)=24
3,4,6,10 --- 4+6×10÷3=24
3,4,7,7 --- 4×7-7+3=24
3,4,7,8 --- 8+4×(7-3)=24
3,4,7,9 --- 4-7+9×3=24
3,4,7,10 --- 4+7+10+3=24
3,4,8,9 --- 4+8+9+3=24
3,4,8,10 --- 4×(8+10)÷3=24
3,4,9,9 --- 4×(9+9)÷3=24
3,4,10,10 --- 4-10+10×3=24
3,5,5,6 --- 6×(5÷5+3)=24
3,5,5,7 --- (5÷5+7)×3=24
3,5,5,8 --- 5-5+8×3=24
3,5,5,9 --- 5×(9÷5+3)=24
3,5,6,6 --- (6+6)×(5-3)=24
3,5,6,7 --- (6-5+7)×3=24
3,5,6,8 --- (6-5)×8×3=24
3,5,6,9 --- (5-6+9)×3=24
3,5,6,10 --- 5+6+10+3=24
3,5,7,8 --- 5×7-8-3=24
3,5,7,9 --- 5+7+9+3=24
3,5,7,10 --- (5-7+10)×3=24
3,5,8,8 --- 5+8+8+3=24
3,5,8,9 --- 5-8+9×3=24
3,5,9,9 --- 9+5×9÷3=24
3,5,9,10 --- 9-(5-10)×3=24
3,5,10,10 --- (10-10÷5)×3=24
3,6,6,6 --- 6+6×(6-3)=24
3,6,6,7 --- (6÷6+7)×3=24
3,6,6,8 --- 6-6+8×3=24
3,6,6,9 --- 6+6+9+3=24
3,6,6,10 --- 10×(6-3)-6=24
3,6,7,7 --- 6×(7÷7+3)=24
3,6,7,8 --- 6+7+8+3=24
3,6,7,9 --- (6-7+9)×3=24
3,6,7,10 --- 10+7×6÷3=24
3,6,8,8 --- 6×8-8×3=24
3,6,8,9 --- (8-6)×(9+3)=24
3,6,8,10 --- (6-8+10)×3=24