24点 1 3 8 9 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 3 8 9，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：1,3,8,9 的解法
1 ((9 × 8) ÷ 3) ÷ 1
2 ((9 ÷ 1) × 8) ÷ 3
3 ((9 × 8) ÷ 1) ÷ 3
4 ((9 × 8) ÷ 3) × 1
5 ((9 × 8) × 1) ÷ 3
6 ((9 × 1) × 8) ÷ 3
7 (9 × 8) ÷ (3 ÷ 1)
8 (8 × (9 ÷ 3)) × 1
9 (9 × (8 × 1)) ÷ 3
10 (8 × (9 ÷ 3)) ÷ 1
11 (9 × 8) ÷ (3 × 1)
12 (8 × 1) × (9 ÷ 3)
13 (9 × (8 ÷ 1)) ÷ 3
14 (8 ÷ 1) × (9 ÷ 3)
15 8 × ((9 × 1) ÷ 3)
16 8 × ((9 ÷ 1) ÷ 3)
17 8 × (9 ÷ (3 ÷ 1))
18 8 × (9 ÷ (3 × 1))
19 8 × ((9 ÷ 3) × 1)
20 8 × ((9 ÷ 3) ÷ 1)
21 (8 ÷ (3 ÷ 9)) × 1
22 (8 ÷ (3 ÷ 9)) ÷ 1
23 (9 ÷ (1 ÷ 8)) ÷ 3
24 (8 ÷ 3) ÷ (1 ÷ 9)
25 (9 ÷ 1) ÷ (3 ÷ 8)
26 (9 × (8 ÷ 3)) × 1
27 (9 ÷ 1) × (8 ÷ 3)
28 (8 ÷ (1 ÷ 9)) ÷ 3
29 (9 ÷ (3 ÷ 8)) ÷ 1
30 (9 × 1) ÷ (3 ÷ 8)
31 (9 ÷ (3 ÷ 8)) × 1
32 (8 ÷ 1) ÷ (3 ÷ 9)
33 (9 × 8) × (1 ÷ 3)
34 (8 × 1) ÷ (3 ÷ 9)
35 (9 × 1) × (8 ÷ 3)
36 (9 × (8 ÷ 3)) ÷ 1
37 (9 ÷ 3) ÷ (1 ÷ 8)
38 9 ÷ (3 ÷ (8 × 1))
39 9 × ((8 ÷ 3) ÷ 1)
40 8 ÷ ((3 × 1) ÷ 9)
41 9 ÷ ((3 ÷ 8) ÷ 1)
42 9 × ((8 ÷ 3) × 1)
43 9 ÷ (1 ÷ (8 ÷ 3))
44 9 ÷ ((3 ÷ 1) ÷ 8)
45 8 ÷ ((3 ÷ 1) ÷ 9)
46 9 ÷ (3 × (1 ÷ 8))
47 9 × (8 ÷ (3 ÷ 1))
48 9 ÷ (3 ÷ (8 ÷ 1))
49 9 ÷ (1 × (3 ÷ 8))
50 1 ÷ ((3 ÷ 9) ÷ 8)
51 9 ÷ ((3 × 1) ÷ 8)
52 9 × (1 ÷ (3 ÷ 8))
53 9 × (8 × (1 ÷ 3))
54 3 ÷ ((9 ÷ 8) − 1)
55 1 ÷ (3 ÷ (9 × 8))
56 8 ÷ (3 ÷ (9 ÷ 1))
57 9 × ((8 × 1) ÷ 3)
58 8 ÷ (1 ÷ (9 ÷ 3))
59 9 × (8 ÷ (3 × 1))
60 8 ÷ (3 × (1 ÷ 9))
61 1 ÷ ((3 ÷ 8) ÷ 9)
62 8 ÷ (3 ÷ (9 × 1))
63 9 × ((8 ÷ 1) ÷ 3)
64 8 ÷ ((3 ÷ 9) ÷ 1)
65 8 × (1 ÷ (3 ÷ 9))
66 8 × (9 × (1 ÷ 3))
67 8 ÷ (1 × (3 ÷ 9))