Question

24点题目和答案

多一点

Answer 1

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24点之1 5 5 5

1. 常规方法：
5*(5-1/5)
2. 几个特殊运算：
(5-5/5*1)!=4!=4*3*2*1=24
(5-1*5/5)! 1*(5-5/5)!
(5-1)!*5/5 5!/(5+5mod1)=5!/(5+0)
√5 * √5 *5-1

24点之2,4,7,8
4*7-8/2=24
加减乘除的如上！

24点之2 2 7 9
(√2*√2-7+9)!=4!=24
(√2^2-7+9)!=4!=24
(7mod(√2*√2)+√9)!=4!=24
(7mod(√2^√2)+√9)!=4!=24

(-2+7)!÷(2+√9)=24

(2÷2+7)*√9=24
(√2÷√2+7)*√9=24

√2表示根号2
4！表示4的阶乘，即4*3*2*1
7mod2表示7对2求余，及7÷2=3余1
特殊运算如下：

4*7-√(8*2)=24

8*(7-2-√4)=24
8*(7-2*√4)=24
8*(7-2^(√4))=24

(2-7+8)!*4=24

(2+7-8)*(4!)=24

好好思考！
嗯二楼网友书说的网站我也知道，不过自己做题还是多思考下，方法越多越巧妙越好！
本身24点就是锻炼大家的思维能力的，也希望大家能正确使用该网站，只是核对答案而非直接取结果！

Answer 2

2 10 5 5。
4 4 10 10。
3 3 7 7。
4 4 7 7。

Answer 3

(1)2 9 8 12
1: 12 × (2 × (9 - 8))
2: 12 × 2 ×(9 - 8)
3: (12 × 2) × (9 - 8)
4: 12 × (2 ÷ (9 - 8))
5: 12 × 2 ÷(9 - 8)
6: (12 × 2) ÷ (9 - 8)
7: (12 × (9 - 8)) × 2
8: 12 × (9 - 8) × 2
9: 12 × ((9 - 8) × 2)
10: (12 ÷ (9 - 8)) × 2
11: 12 ÷ (9 - 8) × 2
12: 12 ÷ ((9 - 8) ÷ 2)
13: 2 × (12 × (9 - 8))
14: 2 × 12 ×(9 - 8)
15: (2 × 12) × (9 - 8)
16: 2 × (12 ÷ (9 - 8))
17: 2 × 12 ÷(9 - 8)
18: (2 × 12) ÷ (9 - 8)
19: (2 × (9 - 8)) × 12
20: 2 × (9 - 8) × 12
21: 2 × ((9 - 8) × 12)
22: (2 ÷ (9 - 8)) × 12
23: 2 ÷ (9 - 8) × 12
24: 2 ÷ ((9 - 8) ÷ 12)
25: (2 + 8 ÷ 12) × 9
26: (2 + (8 ÷ 12)) × 9
27: (9 - 12 ÷ 2) × 8
28: (9 - (12 ÷ 2)) × 8
29: 9 × (2 + 8 ÷ 12)
30: 9 × (2 + (8 ÷ 12))
31: 9 ÷ 2 × 8 - 12
32: (9 ÷ 2) × 8 - 12
33: (9 ÷ 2 × 8) - 12
34: ((9 ÷ 2) × 8) - 12
35: (9 ÷ (2 ÷ 8)) - 12
36: 9 ÷ (2 ÷ 8) - 12
37: (9 - 8) × 12 × 2
38: ((9 - 8) × 12) × 2
39: (9 - 8) × (12 × 2)
40: 9 × (8 ÷ 12 + 2)
41: 9 × ((8 ÷ 12) + 2)
42: (9 - 8) × 2 × 12
43: ((9 - 8) × 2) × 12
44: (9 - 8) × (2 × 12)
45: 9 × 8 ÷ 2 - 12
46: (9 × 8) ÷ 2 - 12
47: (9 × 8 ÷ 2) - 12
48: ((9 × 8) ÷ 2) - 12
49: (9 × (8 ÷ 2)) - 12
50: 9 × (8 ÷ 2) - 12
51: (8 ÷ 12 + 2) × 9
52: ((8 ÷ 12) + 2) × 9
53: 8 ÷ 2 × 9 - 12
54: (8 ÷ 2) × 9 - 12
55: (8 ÷ 2 × 9) - 12
56: ((8 ÷ 2) × 9) - 12
57: (8 ÷ (2 ÷ 9)) - 12
58: 8 ÷ (2 ÷ 9) - 12
59: 8 × (9 - 12 ÷ 2)
60: 8 × (9 - (12 ÷ 2))
61: 8 × 9 ÷ 2 - 12
62: (8 × 9) ÷ 2 - 12
63: (8 × 9 ÷ 2) - 12
64: ((8 × 9) ÷ 2) - 12
65: (8 × (9 ÷ 2)) - 12
66: 8 × (9 ÷ 2) - 12

(2)10 5 9 7
1: (10 - 7) × 5 + 9
2: ((10 - 7) × 5) + 9
3: (5 × (10 - 7)) + 9
4: 5 × (10 - 7) + 9
5: 9 + (10 - 7) × 5
6: 9 + ((10 - 7) × 5)
7: 9 + (5 × (10 - 7))
8: 9 + 5 ×(10 - 7)
9: 9 - (5 × (7 - 10))
10: 9 - 5 ×(7 - 10)
11: 9 - (7 - 10) × 5
12: 9 - ((7 - 10) × 5)

(3)4 5 9 7
1: (10 - 7) × 5 + 9
2: ((10 - 7) × 5) + 9
3: (5 × (10 - 7)) + 9
4: 5 × (10 - 7) + 9
5: 9 + (10 - 7) × 5
6: 9 + ((10 - 7) × 5)
7: 9 + (5 × (10 - 7))
8: 9 + 5 ×(10 - 7)
9: 9 - (5 × (7 - 10))
10: 9 - 5 ×(7 - 10)
11: 9 - (7 - 10) × 5
12: 9 - ((7 - 10) × 5)

(4)4 5 13 7
1: (10 - 7) × 5 + 9
2: ((10 - 7) × 5) + 9
3: (5 × (10 - 7)) + 9
4: 5 × (10 - 7) + 9
5: 9 + (10 - 7) × 5
6: 9 + ((10 - 7) × 5)
7: 9 + (5 × (10 - 7))
8: 9 + 5 ×(10 - 7)
9: 9 - (5 × (7 - 10))
10: 9 - 5 ×(7 - 10)
11: 9 - (7 - 10) × 5
12: 9 - ((7 - 10) × 5)

(5)4 5 13 9
1: (10 - 7) × 5 + 9
2: ((10 - 7) × 5) + 9
3: (5 × (10 - 7)) + 9
4: 5 × (10 - 7) + 9
5: 9 + (10 - 7) × 5
6: 9 + ((10 - 7) × 5)
7: 9 + (5 × (10 - 7))
8: 9 + 5 ×(10 - 7)
9: 9 - (5 × (7 - 10))
10: 9 - 5 ×(7 - 10)
11: 9 - (7 - 10) × 5
12: 9 - ((7 - 10) × 5)

(6)8 6 9 10
1: 6 - (8 - 10) × 9
2: 6 - ((8 - 10) × 9)
3: 6 + (10 - 8) × 9
4: 6 + ((10 - 8) × 9)
5: 6 - (9 × (8 - 10))
6: 6 - 9 ×(8 - 10)
7: 6 + (9 × (10 - 8))
8: 6 + 9 ×(10 - 8)
9: (10 - 8) × 9 + 6
10: ((10 - 8) × 9) + 6
11: (9 × (10 - 8)) + 6
12: 9 × (10 - 8) + 6

(7)3 4 9 12
1: (3 - 4 ÷ 12) × 9
2: (3 - (4 ÷ 12)) × 9
3: (3 + 12 - 9) × 4
4: ((3 + 12) - 9) × 4
5: (3 + (12 - 9)) × 4
6: (3 - 9 + 12) × 4
7: ((3 - 9) + 12) × 4
8: (3 - (9 - 12)) × 4
9: 3 × 9 - 12 ÷ 4
10: (3 × 9) - 12 ÷ 4
11: 3 × 9 -(12 ÷ 4)
12: (3 × 9) - (12 ÷ 4)
13: 4 × (3 + 12 - 9)
14: 4 × ((3 + 12) - 9)
15: 4 × (3 + (12 - 9))
16: 4 × (3 - 9 + 12)
17: 4 × ((3 - 9) + 12)
18: 4 × (3 - (9 - 12))
19: 4 ÷ 3 × 9 + 12
20: (4 ÷ 3) × 9 + 12
21: (4 ÷ 3 × 9) + 12
22: ((4 ÷ 3) × 9) + 12
23: (4 ÷ (3 ÷ 9)) + 12
24: 4 ÷ (3 ÷ 9) + 12
25: 4 × (12 + 3 - 9)
26: 4 × ((12 + 3) - 9)
27: 4 × (12 + (3 - 9))
28: 4 × (12 - 9 + 3)
29: 4 × ((12 - 9) + 3)
30: 4 × (12 - (9 - 3))
31: 4 × 9 ÷ 3 + 12
32: (4 × 9) ÷ 3 + 12
33: (4 × 9 ÷ 3) + 12
34: ((4 × 9) ÷ 3) + 12
35: (4 × (9 ÷ 3)) + 12
36: 4 × (9 ÷ 3) + 12
37: (12 + 3 - 9) × 4
38: ((12 + 3) - 9) × 4
39: (12 + (3 - 9)) × 4
40: 12 + 4 ÷ 3 × 9
41: 12 + (4 ÷ 3) × 9
42: 12 + (4 ÷ 3 × 9)
43: 12 + ((4 ÷ 3) × 9)
44: 12 + (4 ÷ (3 ÷ 9))
45: 12 + 4 ÷(3 ÷ 9)
46: (12 - 4) ÷ 3 × 9
47: ((12 - 4) ÷ 3) × 9
48: (12 - 4) ÷ (3 ÷ 9)
49: 12 + 4 × 9 ÷ 3
50: 12 + (4 × 9) ÷ 3
51: 12 + (4 × 9 ÷ 3)
52: 12 + ((4 × 9) ÷ 3)
53: 12 + (4 × (9 ÷ 3))
54: 12 + 4 ×(9 ÷ 3)
55: (12 - 4) × 9 ÷ 3
56: ((12 - 4) × 9) ÷ 3
57: (12 - 4) × (9 ÷ 3)
58: 12 ÷ 4 × 9 - 3
59: (12 ÷ 4) × 9 - 3
60: (12 ÷ 4 × 9) - 3
61: ((12 ÷ 4) × 9) - 3
62: (12 ÷ (4 ÷ 9)) - 3
63: 12 ÷ (4 ÷ 9) - 3
64: 12 + 9 ÷ 3 × 4
65: 12 + (9 ÷ 3) × 4
66: 12 + (9 ÷ 3 × 4)
67: 12 + ((9 ÷ 3) × 4)
68: 12 + (9 ÷ (3 ÷ 4))
69: 12 + 9 ÷(3 ÷ 4)
70: (12 - 9 + 3) × 4
71: ((12 - 9) + 3) × 4
72: (12 - (9 - 3)) × 4
73: 12 × (9 - (3 + 4))
74: 12 × (9 - 3 - 4)
75: 12 × ((9 - 3) - 4)
76: 12 + 9 × 4 ÷ 3
77: 12 + (9 × 4) ÷ 3
78: 12 + (9 × 4 ÷ 3)
79: 12 + ((9 × 4) ÷ 3)
80: 12 + (9 × (4 ÷ 3))
81: 12 + 9 ×(4 ÷ 3)
82: 12 × (9 - (4 + 3))
83: 12 × (9 - 4 - 3)
84: 12 × ((9 - 4) - 3)
85: 12 × 9 ÷ 4 - 3
86: (12 × 9) ÷ 4 - 3
87: (12 × 9 ÷ 4) - 3
88: ((12 × 9) ÷ 4) - 3
89: (12 × (9 ÷ 4)) - 3
90: 12 × (9 ÷ 4) - 3
91: (9 - (3 + 4)) × 12
92: (9 - 3 - 4) × 12
93: ((9 - 3) - 4) × 12
94: 9 × (3 - 4 ÷ 12)
95: 9 × (3 - (4 ÷ 12))
96: 9 ÷ 3 × 4 + 12
97: (9 ÷ 3) × 4 + 12
98: (9 ÷ 3 × 4) + 12
99: ((9 ÷ 3) × 4) + 12
100: (9 ÷ (3 ÷ 4)) + 12
101: 9 ÷ (3 ÷ 4) + 12
102: 9 × 3 - 12 ÷ 4
103: (9 × 3) - 12 ÷ 4
104: 9 × 3 -(12 ÷ 4)
105: (9 × 3) - (12 ÷ 4)
106: 9 ÷ 3 ×(12 - 4)
107: (9 ÷ 3) × (12 - 4)
108: 9 ÷ (3 ÷ (12 - 4))
109: (9 - (4 + 3)) × 12
110: (9 - 4 - 3) × 12
111: ((9 - 4) - 3) × 12
112: 9 × 4 ÷ 3 + 12
113: (9 × 4) ÷ 3 + 12
114: (9 × 4 ÷ 3) + 12
115: ((9 × 4) ÷ 3) + 12
116: (9 × (4 ÷ 3)) + 12
117: 9 × (4 ÷ 3) + 12
118: 9 ÷ 4 × 12 - 3
119: (9 ÷ 4) × 12 - 3
120: (9 ÷ 4 × 12) - 3
121: ((9 ÷ 4) × 12) - 3
122: (9 ÷ (4 ÷ 12)) - 3
123: 9 ÷ (4 ÷ 12) - 3
124: (9 × (12 - 4)) ÷ 3
125: 9 × (12 - 4) ÷ 3
126: 9 × ((12 - 4) ÷ 3)
127: 9 × 12 ÷ 4 - 3
128: (9 × 12) ÷ 4 - 3
129: (9 × 12 ÷ 4) - 3
130: ((9 × 12) ÷ 4) - 3
131: (9 × (12 ÷ 4)) - 3
132: 9 × (12 ÷ 4) - 3

(8)2 9 4 5
1: (2 + 4) × (9 - 5)
2: (2 - 5 + 9) × 4
3: ((2 - 5) + 9) × 4
4: (2 - ( 5 - 9)) × 4
5: (2 × ( 5 + 9)) - 4
6: 2 × ( 5 + 9) - 4
7: (2 + 9 - 5) × 4
8: ((2 + 9) - 5) × 4
9: (2 + (9 - 5)) × 4
10: (2 × (9 + 5)) - 4
11: 2 × (9 + 5) - 4
12: 4 × (2 - 5 + 9)
13: 4 × ((2 - 5) + 9)
14: 4 × (2 - ( 5 - 9))
15: (4 + 2) × (9 - 5)
16: 4 × (2 + 9 - 5)
17: 4 × ((2 + 9) - 5)
18: 4 × (2 + (9 - 5))
19: 4 × (9 + 2 - 5)
20: 4 × ((9 + 2) - 5)
21: 4 × (9 + (2 - 5))
22: 4 × (9 - 5 + 2)
23: 4 × ((9 - 5) + 2)
24: 4 × (9 - ( 5 - 2))
25: ( 5 + 9) × 2 - 4
26: (( 5 + 9) × 2) - 4
27: (9 + 2 - 5) × 4
28: ((9 + 2) - 5) × 4
29: (9 + (2 - 5)) × 4
30: (9 + 5) × 2 - 4
31: ((9 + 5) × 2) - 4
32: (9 - 5 + 2) × 4
33: ((9 - 5) + 2) × 4
34: (9 - ( 5 - 2)) × 4
35: (9 - 5) × (2 + 4)
36: (9 - 5) × (4 + 2)

(9)8 5 3 9
1: (8 - 5) × 9 - 3
2: ((8 - 5) × 9) - 3
3: 3 × 9 - 8 + 5
4: (3 × 9) - 8 + 5
5: (3 × 9 - 8) + 5
6: ((3 × 9) - 8) + 5
7: 3 × 9 -(8 - 5)
8: (3 × 9) - (8 - 5)
9: 3 × 9 + 5 - 8
10: (3 × 9) + 5 - 8
11: (3 × 9 + 5) - 8
12: ((3 × 9) + 5) - 8
13: 3 × 9 +( 5 - 8)
14: (3 × 9) + ( 5 - 8)
15: 5 - 8 + 3 × 9
16: ( 5 - 8) + 3 × 9
17: 5 - 8 +(3 × 9)
18: ( 5 - 8) + (3 × 9)
19: 5 - (8 - 3 × 9)
20: 5 - (8 - (3 × 9))
21: 5 - 8 + 9 × 3
22: ( 5 - 8) + 9 × 3
23: 5 - 8 +(9 × 3)
24: ( 5 - 8) + (9 × 3)
25: 5 - (8 - 9 × 3)
26: 5 - (8 - (9 × 3))
27: 5 + 3 × 9 - 8
28: ( 5 + 3 × 9) - 8
29: ( 5 + (3 × 9)) - 8
30: 5 + (3 × 9) - 8
31: 5 + (3 × 9 - 8)
32: 5 + ((3 × 9) - 8)
33: 5 + 9 × 3 - 8
34: ( 5 + 9 × 3) - 8
35: ( 5 + (9 × 3)) - 8
36: 5 + (9 × 3) - 8
37: 5 + (9 × 3 - 8)
38: 5 + ((9 × 3) - 8)
39: (9 × (8 - 5)) - 3
40: 9 × (8 - 5) - 3
41: 9 × 3 - 8 + 5
42: (9 × 3) - 8 + 5
43: (9 × 3 - 8) + 5
44: ((9 × 3) - 8) + 5
45: 9 × 3 -(8 - 5)
46: (9 × 3) - (8 - 5)
47: 9 × 3 + 5 - 8
48: (9 × 3) + 5 - 8
49: (9 × 3 + 5) - 8
50: ((9 × 3) + 5) - 8
51: 9 × 3 +( 5 - 8)
52: (9 × 3) + ( 5 - 8)

(10)2 6 8 10
1: (2 × ( 6 + 10)) - 8
2: 2 × ( 6 + 10) - 8
3: 2 × ( 6 × ( 10 - 8))
4: 2 × 6 ×( 10 - 8)
5: (2 × 6) × ( 10 - 8)
6: (2 - 8) × ( 6 - 10)
7: 2 × ( 8 - 6 + 10)
8: 2 × (( 8 - 6) + 10)
9: 2 × ( 8 - ( 6 - 10))
10: (2 - 8 + 10) × 6
11: ((2 - 8) + 10) × 6
12: (2 - ( 8 - 10)) × 6
13: 2 × ( 8 + 10 - 6)
14: 2 × (( 8 + 10) - 6)
15: 2 × ( 8 + ( 10 - 6))
16: (2 × ( 10 + 6)) - 8
17: 2 × ( 10 + 6) - 8
18: 2 × ( 10 - 6 + 8)
19: 2 × (( 10 - 6) + 8)
20: 2 × ( 10 - ( 6 - 8))
21: (2 + 10 - 8) × 6
22: ((2 + 10) - 8) × 6
23: (2 + ( 10 - 8)) × 6
24: (2 + 10) × ( 8 - 6)
25: 2 × ( 10 + 8 - 6)
26: 2 × (( 10 + 8) - 6)
27: 2 × ( 10 + ( 8 - 6))
28: (2 × ( 10 - 8)) × 6
29: 2 × ( 10 - 8) × 6
30: 2 × (( 10 - 8) × 6)
31: 6 × (2 - 8 + 10)
32: 6 × ((2 - 8) + 10)
33: 6 × (2 - ( 8 - 10))
34: 6 × (2 + 10 - 8)
35: 6 × ((2 + 10) - 8)
36: 6 × (2 + ( 10 - 8))
37: 6 × (2 × ( 10 - 8))
38: 6 × 2 ×( 10 - 8)
39: ( 6 × 2) × ( 10 - 8)
40: ( 6 + 10) × 2 - 8
41: (( 6 + 10) × 2) - 8
42: ( 6 - 10) × (2 - 8)
43: 6 × ( 10 + 2 - 8)
44: 6 × (( 10 + 2) - 8)
45: 6 × ( 10 + (2 - 8))
46: 6 × ( 10 - 8 + 2)
47: 6 × (( 10 - 8) + 2)
48: 6 × ( 10 - ( 8 - 2))
49: ( 6 × ( 10 - 8)) × 2
50: 6 × ( 10 - 8) × 2
51: 6 × (( 10 - 8) × 2)
52: ( 8 - 2) × ( 10 - 6)
53: 8 ÷ (2 - 10 ÷ 6)
54: 8 ÷ (2 - ( 10 ÷ 6))
55: ( 8 - 6) × (2 + 10)
56: ( 8 - 6 + 10) × 2
57: (( 8 - 6) + 10) × 2
58: ( 8 - ( 6 - 10)) × 2
59: ( 8 - 6) × ( 10 + 2)
60: ( 8 + 10 - 6) × 2
61: (( 8 + 10) - 6) × 2
62: ( 8 + ( 10 - 6)) × 2
63: ( 10 + 2 - 8) × 6
64: (( 10 + 2) - 8) × 6
65: ( 10 + (2 - 8)) × 6
66: ( 10 + 2) × ( 8 - 6)
67: ( 10 + 6) × 2 - 8
68: (( 10 + 6) × 2) - 8
69: ( 10 - 6 + 8) × 2
70: (( 10 - 6) + 8) × 2
71: ( 10 - ( 6 - 8)) × 2
72: ( 10 - 6) × ( 8 - 2)
73: ( 10 - 8 + 2) × 6
74: (( 10 - 8) + 2) × 6
75: ( 10 - ( 8 - 2)) × 6
76: ( 10 - 8) × 2 × 6
77: (( 10 - 8) × 2) × 6
78: ( 10 - 8) × (2 × 6)
79: ( 10 + 8 - 6) × 2
80: (( 10 + 8) - 6) × 2
81: ( 10 + ( 8 - 6)) × 2
82: ( 10 - 8) × 6 × 2
83: (( 10 - 8) × 6) × 2
84: ( 10 - 8) × ( 6 × 2)

别忘了给我点分啊
谢谢了O(∩_∩)O谢谢

Answer 4

http://www.dffy.com/tool/24.htm
这是一个计算软件，你可以随便出数字，用软件来计算，希望对你有帮助