24点 3 6 9 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 3 6 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 54 个解（使用交换律变换后算一个解），难度系数 ★★★★☆☆☆☆ 【 中等难度24点题目 】
本题共有 54 个解（使用交换律变换后算一个解），难度系数 ★★★★☆☆☆☆ 【 中等难度24点题目 】
| 序号 | 题目：3,6,9,12 的解法 | |
|---|---|---|
| 1 | ((12 + 9) + 6) − 3 | |
| 2 | ((9 + 6) + 12) − 3 | |
| 3 | ((12 + 6) − 3) + 9 | |
| 4 | ((12 + 6) + 9) − 3 | |
| 5 | ((12 + 9) − 3) + 6 | |
| 6 | ((12 − 3) + 6) + 9 | |
| 7 | (12 + 6) + (9 − 3) | |
| 8 | (9 + 6) + (12 − 3) | |
| 9 | (12 + (9 − 3)) + 6 | |
| 10 | (12 + (6 − 3)) + 9 | |
| 11 | (6 × (9 − 3)) − 12 | |
| 12 | (9 + (12 − 3)) + 6 | |
| 13 | (12 + 9) + (6 − 3) | |
| 14 | 12 + (6 + (9 − 3)) | |
| 15 | 12 + (9 + (6 − 3)) | |
| 16 | 12 + ((9 + 6) − 3) | |
| 17 | ((12 × 6) ÷ 9) × 3 | |
| 18 | ((6 × 3) × 12) ÷ 9 | |
| 19 | ((12 × 6) × 3) ÷ 9 | |
| 20 | ((12 × 3) × 6) ÷ 9 | |
| 21 | (12 × (9 + 3)) ÷ 6 | |
| 22 | (12 × 6) ÷ (9 ÷ 3) | |
| 23 | (9 + 3) × (12 ÷ 6) | |
| 24 | 6 × ((12 × 3) ÷ 9) | |
| 25 | 12 × (6 ÷ (9 ÷ 3)) | |
| 26 | 12 × ((6 × 3) ÷ 9) | |
| 27 | 12 × ((9 + 3) ÷ 6) | |
| 28 | 6 × (12 ÷ (9 ÷ 3)) | |
| 29 | (6 × 3) × (12 ÷ 9) | |
| 30 | (12 × (6 ÷ 9)) × 3 | |
| 31 | (12 × 6) × (3 ÷ 9) | |
| 32 | (6 ÷ (9 ÷ 12)) × 3 | |
| 33 | (6 × 3) ÷ (9 ÷ 12) | |
| 34 | (12 × 3) × (6 ÷ 9) | |
| 35 | (9 + 3) ÷ (6 ÷ 12) | |
| 36 | (12 × 3) ÷ (9 ÷ 6) | |
| 37 | (6 × (12 ÷ 9)) × 3 | |
| 38 | (12 ÷ (9 ÷ 6)) × 3 | |
| 39 | 6 ÷ ((9 ÷ 3) ÷ 12) | |
| 40 | 12 × (3 × (6 ÷ 9)) | |
| 41 | 3 ÷ (9 ÷ (12 × 6)) | |
| 42 | 12 ÷ ((9 ÷ 6) ÷ 3) | |
| 43 | 6 ÷ ((9 ÷ 12) ÷ 3) | |
| 44 | 12 ÷ (9 ÷ (6 × 3)) | |
| 45 | 12 × (6 × (3 ÷ 9)) | |
| 46 | 6 ÷ (9 ÷ (12 × 3)) | |
| 47 | 6 × (3 ÷ (9 ÷ 12)) | |
| 48 | 12 ÷ (6 ÷ (9 + 3)) | |
| 49 | 3 ÷ ((9 ÷ 12) ÷ 6) | |
| 50 | 6 × (3 × (12 ÷ 9)) | |
| 51 | 6 × (12 × (3 ÷ 9)) | |
| 52 | 12 ÷ ((9 ÷ 3) ÷ 6) | |
| 53 | 12 × (3 ÷ (9 ÷ 6)) | |
| 54 | 3 ÷ ((9 ÷ 6) ÷ 12) | |