2021年2021年算24点的技巧及经典题目.docx

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1、精品word 可编辑资料 - - - - - - - - - - - - -.算 24 点的技巧“巧算 24 点为一种数学嬉戏，嬉戏方式简洁易学，能健脑益智，为一项极为有益的活动“巧算 24 点的嬉戏容如下：一副牌中抽去大小王剩下52，假如初练也 可只用 110 这 40 牌任意抽取 4 牌称牌组，用加.减.乘.除可加括号把牌面上的数算成24每牌必需用一次且只能用一次，如抽出的牌为3.8.8.9，那么算式为 98 83或 3 89 8或 9 8 83等“算 24 点作为一种扑克牌智力嬉戏，仍应留意运算中的技巧问题运算时，我们不行能把牌面上的4 个数的不同组合形式去试， 更不能瞎碰乱凑 这里向大

2、家介绍几种常用的.便于学习把握的方法：1利用 3 824. 4 624 求解把牌面上的四个数想方法凑成3 和 8.4 和 6，再相乘求解如3.3.6.10可组成 10 6 3 324 等又如 2.3.3.7 可组成 732 324等实践证明，这种方法为利用率最大.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 3 84424 等又如 4.5.J.K 可组成 11 54 1324 等.word.zl.第 1 页，共 9 页 - - - - - - - - - -精品word 可编辑资料 - - - - - - - - - - - - -.3在有解的牌组中，用得最为

3、广泛的为以下六种解法：我们用a.b.c.d 表示牌面上的四个数 (a b cd如104 2 2 24 等ab c d如102 2 424 等a b c d如3 2 2 12 24 等abc d如952 224 等 a bcd如 11 3l 1024 等ab c d如4l 6624 等嬉戏时，同学们不妨根据上述方法试一试.word.zl.第 2 页，共 9 页 - - - - - - - - - -精品word 可编辑资料 - - - - - - - - - - - - -.需要说明的为：经运算机精确运算，一副牌52中，任意抽取 4 可有 1820种不同组合，其中有458 个牌组算不出 24 点

4、，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.耳多种感官的和谐活动，对于培育我们快捷的心算才能和反响才能很有帮忙算 24 点经典题目算 24 点经典题目5 5 5 1： 55-1/5 =242 7 9 10: (7-(2-9)+10)=242 7 10 10: (2(7+10)-10)=242 8 8 8: (2(8+8)-8)=242 8 8 9: (2-(8-9) 8)=242 8 8 10: (8-(2-8)+10)=242 8 9 9: (2+(9/9) 8)=242 8 9 10: (2 (8+9)-10)=242 8 10 10: (2+(10/10

5、) 8)=242 9 10 10: (9+(10/2)+10)=243 3 3 3: (3 (3 3)-3)=243 3 3 4: (3 (3+4)+3)=243 3 3 5: (3 3)+(3 5)=243 3 3 6: (3(3+3)+6)=243 3 3 7: (7+(3/3) 3)=243 3 3 8: (3+(3-3) 8)=243 3 3 9: (9-(3/3) 3)=243 3 3 10: (3 (10-3)+3)=243 3 4 4: (3 4)-4) 3)=243 3 4 5: (3 (4+5)-3)=243 3 4 6: (3-(3-4) 6)=243 3 4 7: (4-

6、(3-7) 3)=243 3 4 8: (3 (4-3) 8)=243 3 4 9: (3+(34)+9)=243 3 5 5: (5 5)-(3/3)=243 3 5 6: (3+(3 5)+6)=243 3 5 7: (3 5)-7) 3)=243 3 5 9: (5+(9/3) 3)=243 3 5 10: (3-(3/5)10)=243 3 6 6: (6+(6/3) 3)=24.word.zl.第 3 页，共 9 页 - - - - - - - - - -精品word 可编辑资料 - - - - - - - - - - - - -.3 3 6 7: (3 (3+7)-6)=243 3

7、 6 8: (8 (3+6)/3)=243 3 6 9: (3+(3 9)-6)=243 3 6 10: (10-(3+3)6)=243 3 7 7: (3+(3/7) 7)=243 3 7 8: (7+(3 3)+8)=243 3 7 9: (7/(3/9)+3)=243 3 8 8: (8/(3-(8/3)=243 3 8 9: (3 (3+8)-9)=243 3 8 10: (3+(3+8)+10)=243 3 9 9: (3+(3+9)+9)=243 3 9 10: (3+(3 10)-9)=243 4 4 4: (4 (3+4)-4)=243 4 4 5: (3+(4 4)+5)=2

8、43 4 4 6: (3+(4/4) 6)=243 4 4 7: (3-(4-7) 4)=243 4 4 8: (3+(4-4) 8)=243 4 4 9: (4-(4/3) 9)=243 4 4 10: (4 (10-3)-4)=243 4 5 5: (3+(5 5)-4)=243 4 5 6: (3-(4-5) 6)=243 4 5 7: (3 (7-5) 4)=243 4 5 8: (3 (5-4) 8)=243 4 5 9: (4-(5-9) 3)=243 4 5 10: (3 (4/5) 10)=243 4 6 6: (3 (4+6)-6)=243 4 6 8: (3 (8-6) 4

9、)=243 4 6 9: (3-(6-9) 4)=243 4 6 10: (3 (10-4)+6)=243 4 7 7: (3+(4 7)-7)=243 4 7 8: (4 (7-3)+8)=243 4 7 9: (3 (4+7)-9)=243 4 7 10: (3+(4+7)+10)=243 4 8 9: (3+(4+8)+9)=243 4 8 10: (3 (10-8) 4)=243 4 9 9: (3 (9-4)+9)=243 4 10 10: (4+(3 10)-10)=243 5 5 6: (3 (5+5)-6)=243 5 5 7: (7+(5/5) 3)=243 5 5 8: (

10、3+(5-5)8)=243 5 5 9: (3+(9/5) 5)=243 5 6 6: (3-(5-6) 6)=243 5 6 7: (6 (5+7)/3)=243 5 6 8: (3(6-5) 8)=24.word.zl.第 4 页，共 9 页 - - - - - - - - - -精品word 可编辑资料 - - - - - - - - - - - - -.3 5 6 9: (3 (5+6)-9)=243 5 6 10: (3+(5+6)+10)=243 5 7 8: (7 (8-5)+3)=243 5 7 9: (3+(5+7)+9)=243 5 7 10: (5-(7-10) 3)=2

11、43 5 8 8: (3+(5+8)+8)=243 5 8 9: (5+(3 9)-8)=243 5 9 9: (5/(3/9)+9)=243 5 9 10: (3 (10-5)+9)=243 5 10 10: (10-(10/5) 3)=243 6 6 6: (3+(6/6) 6)=243 6 6 7: (3-(6-7) 6)=243 6 6 8: (3+(6-6) 8)=243 6 6 9: (3+(6+6)+9)=243 6 6 10: (10(6-3)-6)=243 6 7 7: (3+(7/7) 6)=243 6 7 8: (3+(6+7)+8)=243 6 7 9: (6-(7-9

12、) 3)=243 6 7 10: (6/(3/7)+10)=243 6 8 8: (3+(8/8) 6)=243 6 8 9: (3-(8-9) 6)=243 6 8 10: (6-(8-10) 3)=243 6 9 9: (3+(9/9) 6)=243 6 9 10: (3-(9-10) 6)=243 6 10 10: (3-(6/10) 10)=243 7 7 7: (3+(7+7)+7)=243 7 7 8: (3+(7-7) 8)=243 7 7 9: (9-(7/7) 3)=243 7 7 10: (7 (10-7)+3)=243 7 8 8: (3(8-7) 8)=243 7 8

13、9: (7-(8-9) 3)=243 7 9 9: (7+(9/9) 3)=243 7 9 10: (7+(3 9)-10)=243 7 10 10: (7-(3-10)+10)=243 8 8 8: (3+(8-8) 8)=243 8 8 9: (3 (9-8) 8)=243 8 8 10: (8 10)-8)/3)=243 8 9 9: (3 (8 9)/9)=243 8 9 10: (3 (10-9) 8)=243 8 10 10: (3 (8 10)/10)=243 9 9 9: (9-(3-9)+9)=243 9 9 10: (9+(9-10) 3)=243 9 10 10: (9-

14、(10/10) 3)=244 4 4 4: (4+(4 4)+4)=24.word.zl.第 5 页，共 9 页 - - - - - - - - - -精品word 可编辑资料 - - - - - - - - - - - - -.4 4 4 5: (5+(4/4) 4)=244 4 4 6: (4+(4-4) 6)=244 4 4 7: (7-(4/4) 4)=244 4 4 8: (4 (4+4)-8)=244 4 4 9: (4 (9-4)+4)=244 4 4 10: (4 4)-10)4)=244 4 5 5: (4+(4/5) 5)=244 4 5 6: (4 (5-4) 6)=24

15、4 4 5 7: (4-(5-7) 4)=244 4 5 8: (4+(4-5) 8)=244 4 5 10: (4 (10-5)+4)=244 4 6 8: (4-(6-8) 4)=244 4 6 9: (4 (4/6) 9)=244 4 6 10: (4+(4+6)+10)=244 4 7 7: (4-(4/7) 7)=244 4 7 8: (4+(4 7)-8)=244 4 7 9: (4+(4+7)+9)=244 4 7 10: (4+4) (10-7)=244 4 8 8: (4+(4+8)+8)=244 4 8 9: (4 9)-4)-8)=244 4 8 10: (4-(8-10

16、) 4)=244 4 10 10: (10 10)-4)/4)=244 5 5 5: (4+(5 5)-5)=244 5 5 6: (4+(5-5)6)=244 5 5 7: (7-(5/5) 4)=244 5 5 8: (4-(5/5) 8)=244 5 5 9: (5 (9-5)+4)=244 5 5 10: (4+(5+5)+10)=244 5 6 6: (4 (6-5) 6)=244 5 6 7: (5-(6-7) 4)=244 5 6 8: (4+(5-6) 8)=244 5 6 9: (4+(5+6)+9)=244 5 6 10: (4+(5 6)-10)=244 5 7 7: (

17、5+(7/7) 4)=244 5 7 8: (4+(5+7)+8)=244 5 7 9: (5+(4 7)-9)=244 5 7 10: (10(7-5)+4)=244 5 8 8: (5-(8/4) 8)=244 5 8 9: (4 (9-5)+8)=244 5 8 10: (4-(8/5) 10)=244 5 9 9: (5+(9/9) 4)=244 5 9 10: (5-(9-10)4)=244 5 10 10: (5+(10/10) 4)=244 6 6 6: (4+(6-6)6)=24.word.zl.第 6 页，共 9 页 - - - - - - - - - -精品word 可编辑

18、资料 - - - - - - - - - - - - -.4 6 6 7: (4 (7-6) 6)=244 6 6 8: (4+(6+6)+8)=244 6 6 9: (6 (9-4)-6)=244 6 6 10: (6 (6+10)/4)=244 6 7 7: (4+(6+7)+7)=244 6 7 8: (4+(6-7)8)=244 6 7 9: (6 (7+9)/4)=244 6 7 10: (6+(4 7)-10)=244 6 8 8: (4 (6 8)/8)=244 6 8 9: (4-(8/6) 9)=244 6 8 10: (4 (10-6)+8)=244 6 9 9: (4(6

19、 9)/9)=244 6 9 10: (4 (10-9) 6)=244 6 10 10: (4 (6 10)/10)=244 7 7 7: (7-(7/7) 4)=244 7 7 8: (4-(7/7) 8)=244 7 8 8: (4+(7-8) 8)=244 7 8 9: (7+(8-9) 4)=244 7 8 10: (7/(4/8)+10)=244 7 9 9: (7-(9/9) 4)=244 7 9 10: (7+(9-10) 4)=244 7 10 10: (7-(10/10) 4)=244 8 8 8: (4-(8/8) 8)=244 8 8 9: (4+(8-9) 8)=244

20、 8 8 10: (8+(8-10) 4)=244 8 9 9: (4-(9/9) 8)=244 8 9 10: (4+(9-10) 8)=244 8 10 10: (4-(10/10) 8)=244 9 9 10: (9-(4-9)+10)=245 5 5 5: (5 5)-(5/5)=245 5 5 6: (5+(5 5)-6)=245 5 5 9: (5+(5+5)+9)=245 5 6 6: (5+(5-6) 6)=245 5 6 7: (6+(5 5)-7)=245 5 6 8: (5+(5+6)+8)=245 5 7 7: (5+(5+7)+7)=245 5 7 8: (5+(5-

21、7) 8)=245 5 7 10: (10(5+7)/5)=245 5 8 8: (5 5)-(8/8)=245 5 8 9: (5 (8-5)+9)=245 5 8 10: (5-(10/5) 8)=245 5 9 9: (5 5)-(9/9)=245 5 9 10: (9+(5 5)-10)=245 5 10 10: (55)-(10/10)=24.word.zl.第 7 页，共 9 页 - - - - - - - - - -精品word 可编辑资料 - - - - - - - - - - - - -.5 6 6 6: (5-(6/6) 6)=245 6 6 7: (5+(6+6)+7)=

22、245 6 6 8: (6 (8-5)+6)=245 6 6 9: (6 9)-(56)=245 6 6 10: (6 (10-5)-6)=245 6 7 7: (5-(7/7) 6)=245 6 7 8: (5+(7-8) 6)=245 6 7 9: (9 (7-5)+6)=245 6 8 8: (5+(6-8) 8)=245 6 8 9: (5+(8-9) 6)=245 6 8 10: (5 (6 8)/10)=245 6 9 9: (5 (9-6)+9)=245 6 9 10: (5+(9-10) 6)=245 6 10 10: (5-(10/10) 6)=245 7 7 9: (5+7

23、) (9-7)=245 7 7 10: (7 (7-5)+10)=245 7 8 8: (8 (7-5)+8)=245 7 8 9: (5+(7-9) 8)=245 7 8 10: (5+7) (10-8)=245 7 9 10: (5 (10-7)+9)=245 7 10 10: (7/(5/10)+10)=245 8 8 8: (5 8)-8)-8)=245 8 8 9: (8/(8-5) 9)=245 8 8 10: (5+(8-10) 8)=245 9 10 10: (9-(5-10)+10)=246 6 6 6: (6+(6+6)+6)=246 6 6 8: (6+(6-8) 6)=

24、246 6 6 9: (6 (66)/9)=246 6 6 10: (6 10)-(6 6)=246 6 7 9: (6+(7-9) 6)=246 6 7 10: (6 (10-7)+6)=246 6 8 8: (6/(8-6) 8)=246 6 8 9: (6+(6-9) 8)=246 6 8 10: (6+(8-10)6)=246 6 9 10: (9 (6+10)/6)=246 7 7 10: (7+(7-10) 6)=246 7 8 9: (6/(9-7) 8)=246 7 8 10: (6+(7-10) 8)=246 7 9 9: (9 (7+9)/6)=246 7 10 10: (

25、10 (10-7)-6)=246 8 8 8: (8 (8-6)+8)=246 8 8 9: (9 (8+8)/6)=246 8 8 10: (6/(10-8) 8)=246 8 9 9: (8/(9-6) 9)=24.word.zl.第 8 页，共 9 页 - - - - - - - - - -精品word 可编辑资料 - - - - - - - - - - - - -.6 8 9 10: (9 (10-8)+6)=246 9 9 10: (9/(6/10)+9)=246 10 10 10: (10-(6-10)+10)=247 7 9 10: (7 (9-7)+10)=247 8 8 9: (8 (9-7)+8)=247 8 8 10: (8 10)-(7 8)=247 8 9 10: (8/(10-7) 9)=247 8 10 10: (7 (10-8)+10)=248 8 8 10: (8 (10-8)+8)=24.word.zl.第 9 页，共 9 页 - - - - - - - - - -