算24点的技巧与经典题目.docVIP

算24点的技巧“巧算24点”是一种数学游戏，游戏方式简单易学，能健脑益智，是一项极为有益的活动 “巧算24点”的游戏内容如下：一副牌中抽去大小王剩下52张，（如果初练也可只用110这40张牌）任意抽取4张牌（称牌组），用加、减、乘、除（可加括号）把牌面上的数算成24每张牌必须用一次且只能用一次，如抽出的牌是3、8、8、9，那么算式为（98）83或38（98）或（988）3等 “算24点”作为一种扑克牌智力游戏，还应注意计算中的技巧问题计算时，我们不可能把牌面上的4个数的不同组合形式去试，更不能瞎碰乱凑这里向大家介绍几种常用的、便于学习掌握的方法： 1利用3824、4624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3、3、6、10可组成（1063）324等又如2、3、3、7可组成（732）324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 2利用0、11的运算特性求解 如3、4、4、8可组成384424等又如4、5、J、K可组成11（54）1324等 3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表示牌面上的四个数） (ab）（cd） 如（104）（22）24等 （ab）cd 如（102）2424等 （abc）d 如（322）1224等 （abc）d 如（952）224等 abcd 如113l1024等 （ab）cd 如（4l）6624等 游戏时，同学们不妨按照上述方法试一试 需要说明的是：经计算机准确计算，一副牌（52张）中，任意抽取4张可有1820种不同组合，其中有458个牌组算不出24点，如A、A、A、5 不难看出，“巧算24点”能极大限度地调动眼、脑、手、口、耳多种感官的协调活动，对于培养我们快捷的心算能力和反应能力很有帮助 算24点经典题目算24点经典题目5 5 5 1：5（5-1/5）=24 2 7 9 10: (7-(2-9)+10)=242 7 10 10: (2(7+10)-10)=24 2 8 8 8: (2(8+8)-8)=24 2 8 8 9: (2-(8-9)8)=24 2 8 8 10: (8-(2-8)+10)=24 2 8 9 9: (2+(9/9)8)=24 2 8 9 10: (2(8+9)-10)=24 2 8 10 10: (2+(10/10)8)=24 2 9 10 10: (9+(10/2)+10)=24 3 3 3 3: (3(33)-3)=24 3 3 3 4: (3(3+4)+3)=24 3 3 3 5: (33)+(35)=24 3 3 3 6: (3(3+3)+6)=24 3 3 3 7: (7+(3/3)3)=24 3 3 3 8: (3+(3-3)8)=24 3 3 3 9: (9-(3/3)3)=24 3 3 3 10: (3(10-3)+3)=24 3 3 4 4: (34)-4)3)=24 3 3 4 5: (3(4+5)-3)=24 3 3 4 6: (3-(3-4)6)=24 3 3 4 7: (4-(3-7)3)=24 3 3 4 8: (3(4-3)8)=24 3 3 4 9: (3+(34)+9)=24 3 3 5 5: (55)-(3/3)=24 3 3 5 6: (3+(35)+6)=24 3 3 5 7: (35)-7)3)=24 3 3 5 9: (5+(9/3)3)=24 3 3 5 10: (3-(3/5)10)=24 3 3 6 6: (6+(6/3)3)=24 3 3 6 7: (3(3+7)-6)=24 3 3 6 8: (8(3+6)/3)=24 3 3 6 9: (3+(39)-6)=24 3 3 6 10: (10-(3+3)6)=24 3 3 7 7: (3+(3/7)7)=24 3 3 7 8: (7+(33)+8)=24 3 3 7 9: (7/(3/9)+3)=24 3 3 8 8: (8/(3-(8/3)=24 3 3 8 9: (3(3+8)-9)=24 3 3 8 10: (3+(3+8)+10)=24 3 3 9 9: (3+(3+9)+9)=24 3 3 9 10: (3+(310)-9)=24 3 4 4 4: (4(3+4)-4)=24 3 4 4 5: (3+(44)+5)=24 3 4 4 6: (3+(4/4)6)=24 3 4 4 7: (3-(4-7)4)=24 3 4 4 8: (3+(4-4)8)=24 3 4 4 9: (4-(4/3)9)=24 3 4 4 10: (4(10-3)-4)=24 3 4 5 5: (3+(55)-4)=24 3 4 5 6: (3-(4-5)6)=24 3 4 5 7: (3(7-5)4)=24 3 4 5 8: (3(5-4)8)=24 3 4 5 9: (4-(5-9)3)=24 3 4 5 10: (3(4/5)10)=24 3 4 6 6: (3(4+6)-6)=24 3 4 6 8: (3(8-6)4)=24 3 4 6 9: (3-(6-9)4)=24 3 4 6 10: (3(10-4)+6)=24 3 4 7 7: (3+(47)-7)=24 3 4 7 8: (4(7-3)+8)=24 3 4 7 9: (3(4+7)-9)=24 3 4 7 10: (3+(4+7)+10)=24 3 4 8 9: (3+(4+8)+9)=24 3 4 8 10: (3(10-8)4)=24 3 4 9 9: (3(9-4)+9)=24 3 4 10 10: (4+(310)-10)=24 3 5 5 6: (3(5+5)-6)=24 3 5 5 7: (7+(5/5)3)=24 3 5 5 8: (3+(5-5)8)=24 3 5 5 9: (3+(9/5)5)=24 3 5 6 6: (3-(5-6)6)=24 3 5 6 7: (6(5+7)/3)=24 3 5 6 8: (3(6-5)8)=24 3 5 6 9: (3(5+6)-9)=24 3 5 6 10: (3+(5+6)+10)=24 3 5 7 8: (7(8-5)+3)=24 3 5 7 9: (3+(5+7)+9)=24 3 5 7 10: (5-(7-10)3)=24 3 5 8 8: (3+(5+8)+8)=24 3 5 8 9: (5+(39)-8)=24 3 5 9 9: (5/(3/9)+9)=24 3 5 9 10: (3(10-5)+9)=24 3 5 10 10: (10-(10/5)3)=24 3 6 6 6: (3+(6/6)6)=24 3 6 6 7: (3-(6-7)6)=24 3 6 6 8: (3+(6-6)8)=24 3 6 6 9: (3+(6+6)+9)=24 3 6 6 10: (10(6-3)-6)=24 3 6 7 7: (3+(7/7)6)=24 3 6 7 8: (3+(6+7)+8)=24 3 6 7 9: (6-(7-9)3)=24 3 6 7 10: (6/(3/7)+10)=24 3 6 8 8: (3+(8/8)6)=24 3 6 8 9: (3-(8-9)6)=24 3 6 8 10: (6-(8-10)3)=24 3 6 9 9: (3+(9/9)6)=24 3 6 9 10: (3-(9-10)6)=24 3 6 10 10: (3-(6/10)10)=24 3 7 7 7: (3+(7+7)+7)=24 3 7 7 8: (3+(7-7)8)=24 3 7 7 9: (9-(7/7)3)=24 3 7 7 10: (7(10-7)+3)=24 3 7 8 8: (3(8-7)8)=24 3 7 8 9: (7-(8-9)3)=24 3 7 9 9: (7+(9/9)3)=24 3 7 9 10: (7+(39)-10)=24 3 7 10 10: (7-(3-10)+10)=24 3 8 8 8: (3+(8-8)8)=24 3 8 8 9: (3(9-8)8)=24 3 8 8 10: (810)-8)/3)=24 3 8 9 9: (3(89)/9)=24 3 8 9 10: (3(10-9)8)=24 3 8 10 10: (3(810)/10)=24 3 9 9 9: (9-(3-9)+9)=24 3 9 9 10: (9+(9-10)3)=24 3 9 10 10: (9-(10/10)3)=24 4 4 4 4: (4+(44)+4)=24 4 4 4 5: (5+(4/4)4)=24 4 4 4 6: (4+(4-4)6)=24 4 4 4 7: (7-(4/4)4)=24 4 4 4 8: (4(4+4)-8)=24 4 4 4 9: (4(9-4)+4)=24 4 4 4 10: (44)-10)4)=24 4 4 5 5: (4+(4/5)5)=24 4 4 5 6: (4(5-4)6)=24 4 4 5 7: (4-(5-7)4)=24 4 4 5 8: (4+(4-5)8)=24 4 4 5 10: (4(10-5)+4)=24 4 4 6 8: (4-(6-8)4)=24 4 4 6 9: (4(4/6)9)=24 4 4 6 10: (4+(4+6)+10)=24 4 4 7 7: (4-(4/7)7)=24 4 4 7 8: (4+(47)-8)=24 4 4 7 9: (4+(4+7)+9)=24 4 4 7 10: (4+4)(10-7)=24 4 4 8 8: (4+(4+8)+8)=24 4 4 8 9: (49)-4)-8)=24 4 4 8 10: (4-(8-10)4)=24 4 4 10 10: (1010)-4)/4)=24 4 5 5 5: (4+(55)-5)=24 4 5 5 6: (4+(5-5)6)=24 4 5 5 7: (7-(5/5)4)=24 4 5 5 8: (4-(5/5)8)=24 4 5 5 9: (5(9-5)+4)=24 4 5 5 10: (4+(5+5)+10)=24 4 5 6 6: (4(6-5)6)=24 4 5 6 7: (5-(6-7)4)=24 4 5 6 8: (4+(5-6)8)=24 4 5 6 9: (4+(5+6)+9)=24 4 5 6 10: (4+(56)-10)=24 4 5 7 7: (5+(7/7)4)=24 4 5 7 8: (4+(5+7)+8)=24 4 5 7 9: (5+(47)-9)=24 4 5 7 10: (10(7-5)+4)=24 4 5 8 8: (5-(8/4)8)=24 4 5 8 9: (4(9-5)+8)=24 4 5 8 10: (4-(8/5)10)=24 4 5 9 9: (5+(9/9)4)=24 4 5 9 10: (5-(9-10)4)=24 4 5 10 10: (5+(10/10)4)=24 4 6 6 6: (4+(6-6)6)=24 4 6 6 7: (4(7-6)6)=24 4 6 6 8: (4+(6+6)+8)=24 4 6 6 9: (6(9-4)-6)=24 4 6 6 10: (6(6+10)/4)=24 4 6 7 7: (4+(6+7)+7)=24 4 6 7 8: (4+(6-7)8)=24 4 6 7 9: (6(7+9)/4)=24 4 6 7 10: (6+(47)-10)=24 4 6 8 8: (4(68)/8)=24 4 6 8 9: (4-(8/6)9)=24 4 6 8 10: (4(10-6)+8)=24 4 6 9 9: (4(69)/9)=24 4 6 9 10: (4(10-9)6)=24 4 6 10 10: (4(610)/10)=24 4 7 7 7: (7-(7/7)4)=24 4 7 7 8: (4-(7/7)8)=24 4 7 8 8: (4+(7-8)8)=24 4 7 8 9: (7+(8-9)4)=24 4 7 8 10: (7/(4/8)+10)=24 4 7 9 9: (7-(9/9)4)=24 4 7 9 10: (7+(9-10)4)=24 4 7 10 10: (7-(10/10)4)=24 4 8 8 8: (4-(8/8)8)=24 4 8 8 9: (4+(8-9)8)=24 4 8 8 10: (8+(8-10)4)=24 4 8 9 9: (4-(9/9)8)=24 4 8 9 10: (4+(9-10)8)=24 4 8 10 10: (4-(10/10)8)=24 4 9 9 10: (9-(4-9)+10)=24 5 5 5 5: (55)-(5/5)=24 5 5 5 6: (5+(55)-6)=24 5 5 5 9: (5+(5+5)+9)=24 5 5 6 6: (5+(5-6)6)=24 5 5 6 7: (6+(55)-7)=24 5 5 6 8: (5+(5+6)+8)=24 5 5 7 7: (5+(5+7)+7)=24 5 5 7 8: (5+(5-7)8)=24 5 5 7 10: (10(5+7)/5)=245 5 8 8: (55)-(8/8)=24 5 5 8 9: (5(8-5)+9)=24 5 5 8 10: (5-(10/5)8)=24 5 5 9 9: (55)-(9/9)=24 5 5 9 10: (9+(55)-10)=24 5 5 10 10: (55)-(10/10)=245 6 6 6: (5-(6/6)6)=24 5 6 6 7: (5+(6+6)+7)=24 5 6 6 8: (6(8-5)+6)=24 5 6 6 9: (69)-(56)=24 5 6 6 10: (6(10-5)-6)=24 5 6 7 7: (5-(7/7)6)=24 5 6 7 8: (5+(7-8)6)=24 5 6 7 9: (9(7-5)+6)=24 5 6 8 8: (5+(6-8)8)=24 5 6 8 9: (5+(8-9)6)=24 5 6 8 10: (5(68)/10)=24 5 6 9 9: (5(9-6)+9)=24 5 6 9 10: (5+(9-10)6)=24 5 6 10 10: (5-(10/10)6)=245 7 7 9: (5+7)(9-7)=24 5 7 7 10: (7(7-5)+10)=245 7 8 8: (8(7-5)+8)=24 5 7 8 9: (5+(7-9)8)=24 5 7 8 10: (5+7)(10-8)=24 5 7 9 10: (5(10-7)+9)=245 7 10 10: (7/(5/10)+10)=24 5 8 8 8: (58)-8)-8)=24 5 8 8 9: (8/(8-5)9)=24 5 8 8 10: (5+(8-10)8)=245 9 10 10: (9