24点 1 3 6 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 3 6 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 72 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 】
本题共有 72 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：1,3,6,12 的解法 | |
|---|---|---|
| 1 | (12 − 6) × (3 + 1) | |
| 2 | 12 + (6 × (3 − 1)) | |
| 3 | 12 × ((6 − 1) − 3) | |
| 4 | 12 × (6 − (3 + 1)) | |
| 5 | 12 × ((6 − 3) − 1) | |
| 6 | ((12 × 6) ÷ 1) ÷ 3 | |
| 7 | ((12 × 6) × 1) ÷ 3 | |
| 8 | ((12 × 1) × 6) ÷ 3 | |
| 9 | ((12 ÷ 1) × 6) ÷ 3 | |
| 10 | ((12 × 6) ÷ 3) ÷ 1 | |
| 11 | ((12 × 6) ÷ 3) × 1 | |
| 12 | (12 × (6 ÷ 1)) ÷ 3 | |
| 13 | (12 × (6 ÷ 3)) ÷ 1 | |
| 14 | (12 × (6 × 1)) ÷ 3 | |
| 15 | (12 × 6) ÷ (3 ÷ 1) | |
| 16 | (12 ÷ 1) × (6 ÷ 3) | |
| 17 | (12 × 6) ÷ (3 × 1) | |
| 18 | (6 × 1) × (12 ÷ 3) | |
| 19 | (12 × (6 ÷ 3)) × 1 | |
| 20 | (6 × (12 ÷ 3)) × 1 | |
| 21 | (12 × 1) × (6 ÷ 3) | |
| 22 | (6 × (12 ÷ 3)) ÷ 1 | |
| 23 | (6 ÷ 1) × (12 ÷ 3) | |
| 24 | 12 × (6 ÷ (3 × 1)) | |
| 25 | 6 × (12 ÷ (3 × 1)) | |
| 26 | 12 × ((6 ÷ 3) ÷ 1) | |
| 27 | 6 × ((12 ÷ 1) ÷ 3) | |
| 28 | 12 × ((6 ÷ 3) × 1) | |
| 29 | 6 × (12 ÷ (3 ÷ 1)) | |
| 30 | 6 × ((12 × 1) ÷ 3) | |
| 31 | 12 × ((6 ÷ 1) ÷ 3) | |
| 32 | 6 × ((12 ÷ 3) ÷ 1) | |
| 33 | 12 × ((6 × 1) ÷ 3) | |
| 34 | 12 × (6 ÷ (3 ÷ 1)) | |
| 35 | 6 × ((12 ÷ 3) × 1) | |
| 36 | (6 × 1) ÷ (3 ÷ 12) | |
| 37 | (6 ÷ (1 ÷ 12)) ÷ 3 | |
| 38 | (12 ÷ (1 ÷ 6)) ÷ 3 | |
| 39 | (6 ÷ (3 ÷ 12)) ÷ 1 | |
| 40 | (12 ÷ 3) ÷ (1 ÷ 6) | |
| 41 | (6 ÷ 1) ÷ (3 ÷ 12) | |
| 42 | (12 ÷ (3 ÷ 6)) × 1 | |
| 43 | (12 × 1) ÷ (3 ÷ 6) | |
| 44 | (12 ÷ (3 ÷ 6)) ÷ 1 | |
| 45 | (6 ÷ (3 ÷ 12)) × 1 | |
| 46 | (12 × 6) × (1 ÷ 3) | |
| 47 | (6 ÷ 3) ÷ (1 ÷ 12) | |
| 48 | (12 ÷ 1) ÷ (3 ÷ 6) | |
| 49 | 6 ÷ (1 × (3 ÷ 12)) | |
| 50 | 6 × (12 × (1 ÷ 3)) | |
| 51 | 6 ÷ ((3 ÷ 12) ÷ 1) | |
| 52 | 6 ÷ (3 ÷ (12 ÷ 1)) | |
| 53 | 12 ÷ ((3 ÷ 6) ÷ 1) | |
| 54 | 12 ÷ (1 − (3 ÷ 6)) | |
| 55 | 6 ÷ ((3 × 1) ÷ 12) | |
| 56 | 1 ÷ ((3 ÷ 6) ÷ 12) | |
| 57 | 12 × (6 × (1 ÷ 3)) | |
| 58 | 1 ÷ (3 ÷ (12 × 6)) | |
| 59 | 12 × (1 ÷ (3 ÷ 6)) | |
| 60 | 6 ÷ (3 ÷ (12 × 1)) | |
| 61 | 6 × (1 ÷ (3 ÷ 12)) | |
| 62 | 12 ÷ (1 × (3 ÷ 6)) | |
| 63 | 6 ÷ (1 ÷ (12 ÷ 3)) | |
| 64 | 12 ÷ (3 × (1 ÷ 6)) | |
| 65 | 6 ÷ (3 × (1 ÷ 12)) | |
| 66 | 12 ÷ ((3 ÷ 1) ÷ 6) | |
| 67 | 12 ÷ (1 ÷ (6 ÷ 3)) | |
| 68 | 12 ÷ ((3 × 1) ÷ 6) | |
| 69 | 12 ÷ (3 ÷ (6 × 1)) | |
| 70 | 6 ÷ ((3 ÷ 1) ÷ 12) | |
| 71 | 12 ÷ (3 ÷ (6 ÷ 1)) | |
| 72 | 1 ÷ ((3 ÷ 12) ÷ 6) | |