24点 4 8 9 12 解题详情

24点题目:使用数字 4 8 9 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35个解(使用交换律变换后算一个解), 难度系数是3星 ★★★☆☆☆☆☆【 中等偏易24点题目 】。

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

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