Question

请用下面给出的4个数，按“数学24”的游戏规则算出24。 例如：3，3，5，6。 解法一：3*（5+6-3）=24。

解法二：（6-3）*（3+5）=24。
（1）1，1，4，5。 （2）2 ,2, 6, 9。

（3）1 , 5 , 5, 5。 （4）5，2，1，1。

Answer 1

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

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

(3)1: (5 - 1 ÷ 5) × 5
2: (5 - (1 ÷ 5)) × 5
3: 5 × (5 - 1 ÷ 5)
4: 5 × (5 - (1 ÷ 5))

(4)没有答案！ （若可以用乘方就行）(5的2次方-1)×1=24

Answer 2

（1）4×（5+1）×1=24
（2）2×（2×9-6）=24
（3）（5-1÷5）×5=24
（4）能用平方吗，否则应该算不出来（5²-1）×1=24

Answer 3

2,2,9,6
2 × (2 × 9 - 6)
2: 2 × ((2 × 9) - 6)
3: 2 × (6 ÷ 2 + 9)
4: 2 × ((6 ÷ 2) + 9)
5: 2 × (9 × 2 - 6)
6: 2 × ((9 × 2) - 6)
7: 2 × (9 + 6 ÷ 2)
8: 2 × (9 + (6 ÷ 2))
9: (2 × 9 - 6) × 2
10: ((2 × 9) - 6) × 2
11: (6 ÷ 2 + 9) × 2
12: ((6 ÷ 2) + 9) × 2
13: (9 × 2 - 6) × 2
14: ((9 × 2) - 6) × 2
15: (9 + 6 ÷ 2) × 2
16: (9 + (6 ÷ 2)) × 2

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

1,5,5,5.
1: (5 - 1 ÷ 5) × 5
2: (5 - (1 ÷ 5)) × 5
3: 5 × (5 - 1 ÷ 5)
4: 5 × (5 - (1 ÷ 5))
5,1,1,2

不会
http://www.dffy.com/tool/24.htm
这个网址有

Answer 4

(!)1+5=6 1x6=6 4x6=24