24点 1 5 10 12 解题详情

24点在线计算 · 全部题目与解法

24点题目：使用数字 1 5 10 12，利用加减乘除、括号算出24。数字顺序可以任意调换，下面列出所有可行算式。
本题共有 67 个解（使用交换律变换后算一个解），难度系数 ★★★☆☆☆☆☆ 【 中等偏易24点题目 】
序号 题目：1,5,10,12 的解法
1 ((12 × 10) ÷ 1) ÷ 5
2 ((12 × 10) ÷ 5) ÷ 1
3 ((12 × 1) × 10) ÷ 5
4 ((12 × 10) × 1) ÷ 5
5 ((12 × 10) ÷ 5) × 1
6 ((12 ÷ 1) × 10) ÷ 5
7 (12 × (10 × 1)) ÷ 5
8 (12 ÷ 1) × (10 ÷ 5)
9 (12 × 10) ÷ (5 × 1)
10 (12 × 10) ÷ (5 ÷ 1)
11 (12 × (10 ÷ 5)) × 1
12 (12 × (10 ÷ 5)) ÷ 1
13 (12 × 1) × (10 ÷ 5)
14 (12 × (10 ÷ 1)) ÷ 5
15 12 × ((10 ÷ 5) × 1)
16 12 × ((10 ÷ 1) ÷ 5)
17 12 × (10 ÷ (5 × 1))
18 12 × ((10 × 1) ÷ 5)
19 12 × ((10 ÷ 5) ÷ 1)
20 12 × (10 ÷ (5 ÷ 1))
21 (12 × 1) ÷ (5 ÷ 10)
22 (10 ÷ (5 ÷ 12)) ÷ 1
23 (10 ÷ (1 ÷ 12)) ÷ 5
24 (10 × 1) × (12 ÷ 5)
25 (10 × (12 ÷ 5)) ÷ 1
26 (10 × (12 ÷ 5)) × 1
27 (12 × 10) × (1 ÷ 5)
28 (10 × 1) ÷ (5 ÷ 12)
29 (12 ÷ 1) ÷ (5 ÷ 10)
30 (10 ÷ 1) × (12 ÷ 5)
31 (10 ÷ 5) ÷ (1 ÷ 12)
32 (10 ÷ 1) ÷ (5 ÷ 12)
33 (10 ÷ (5 ÷ 12)) × 1
34 (12 ÷ 5) ÷ (1 ÷ 10)
35 (12 ÷ (1 ÷ 10)) ÷ 5
36 (12 ÷ (5 ÷ 10)) × 1
37 (12 ÷ (5 ÷ 10)) ÷ 1
38 12 ÷ ((5 × 1) ÷ 10)
39 10 ÷ ((5 ÷ 12) ÷ 1)
40 10 ÷ (5 × (1 ÷ 12))
41 12 ÷ ((5 ÷ 1) ÷ 10)
42 10 × ((12 ÷ 5) ÷ 1)
43 10 ÷ (1 × (5 ÷ 12))
44 10 × ((12 ÷ 5) × 1)
45 12 × (10 × (1 ÷ 5))
46 10 × ((12 ÷ 1) ÷ 5)
47 1 ÷ ((5 ÷ 12) ÷ 10)
48 10 ÷ (5 ÷ (12 × 1))
49 10 × (12 ÷ (5 ÷ 1))
50 12 ÷ (1 × (5 ÷ 10))
51 12 ÷ (5 ÷ (10 × 1))
52 12 ÷ (1 ÷ (10 ÷ 5))
53 1 ÷ (5 ÷ (12 × 10))
54 10 ÷ (5 ÷ (12 ÷ 1))
55 12 ÷ ((5 ÷ 10) ÷ 1)
56 12 ÷ (1 − (5 ÷ 10))
57 10 ÷ ((5 ÷ 1) ÷ 12)
58 12 ÷ (5 × (1 ÷ 10))
59 10 ÷ ((5 × 1) ÷ 12)
60 10 ÷ (1 ÷ (12 ÷ 5))
61 10 × (1 ÷ (5 ÷ 12))
62 10 × (12 ÷ (5 × 1))
63 10 × (12 × (1 ÷ 5))
64 12 ÷ (5 ÷ (10 ÷ 1))
65 1 ÷ ((5 ÷ 10) ÷ 12)
66 10 × ((12 × 1) ÷ 5)
67 12 × (1 ÷ (5 ÷ 10))