24点 1 1 2 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 1 2 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 74 个解（使用交换律变换后算一个解），难度系数 ★☆☆☆☆☆☆☆ 【 最简单入门24点题目 】
本题共有 74 个解（使用交换律变换后算一个解），难度系数 ★☆☆☆☆☆☆☆ 【 最简单入门24点题目 】
| 序号 | 题目：1,1,2,12 的解法 | |
|---|---|---|
| 1 | ((12 × 2) × 1) × 1 | |
| 2 | ((12 × 1) × 1) × 2 | |
| 3 | ((12 × 2) − 1) + 1 | |
| 4 | ((12 × 2) + 1) − 1 | |
| 5 | ((12 × 1) × 2) × 1 | |
| 6 | ((12 + 1) − 1) × 2 | |
| 7 | ((12 − 1) + 1) × 2 | |
| 8 | (12 × (1 × 1)) × 2 | |
| 9 | (12 × (2 × 1)) × 1 | |
| 10 | (12 + (1 − 1)) × 2 | |
| 11 | (12 × 2) − (1 − 1) | |
| 12 | (12 × 1) × (2 × 1) | |
| 13 | (12 × 2) × (1 × 1) | |
| 14 | (12 − (1 − 1)) × 2 | |
| 15 | (12 × 2) + (1 − 1) | |
| 16 | 12 × ((2 + 1) − 1) | |
| 17 | 12 × (2 − (1 − 1)) | |
| 18 | 12 × ((2 × 1) × 1) | |
| 19 | 12 × (2 + (1 − 1)) | |
| 20 | 12 × (1 + (2 − 1)) | |
| 21 | 12 × (2 × (1 × 1)) | |
| 22 | ((12 × 2) ÷ 1) ÷ 1 | |
| 23 | ((12 ÷ 1) × 1) × 2 | |
| 24 | ((12 × 2) ÷ 1) × 1 | |
| 25 | ((12 × 1) ÷ 1) × 2 | |
| 26 | ((12 ÷ 1) ÷ 1) × 2 | |
| 27 | ((12 × 1) × 2) ÷ 1 | |
| 28 | ((12 ÷ 1) × 2) ÷ 1 | |
| 29 | ((12 × 2) × 1) ÷ 1 | |
| 30 | ((12 ÷ 1) × 2) × 1 | |
| 31 | (12 × (1 ÷ 1)) × 2 | |
| 32 | (12 × 1) × (2 ÷ 1) | |
| 33 | (12 × (2 × 1)) ÷ 1 | |
| 34 | (12 ÷ (1 × 1)) × 2 | |
| 35 | (12 × 2) × (1 ÷ 1) | |
| 36 | (12 ÷ (1 ÷ 1)) × 2 | |
| 37 | (12 × 2) ÷ (1 × 1) | |
| 38 | (12 ÷ 1) × (2 ÷ 1) | |
| 39 | (12 × (2 ÷ 1)) × 1 | |
| 40 | (12 × (2 ÷ 1)) ÷ 1 | |
| 41 | (12 ÷ 1) × (2 × 1) | |
| 42 | (12 × 2) ÷ (1 ÷ 1) | |
| 43 | 12 × ((2 ÷ 1) × 1) | |
| 44 | 12 × (2 ÷ (1 ÷ 1)) | |
| 45 | 12 × ((2 ÷ 1) ÷ 1) | |
| 46 | 12 × (2 × (1 ÷ 1)) | |
| 47 | 12 × ((2 × 1) ÷ 1) | |
| 48 | 12 × (2 ÷ (1 × 1)) | |
| 49 | (2 ÷ 1) ÷ (1 ÷ 12) | |
| 50 | (2 ÷ (1 ÷ 12)) ÷ 1 | |
| 51 | (12 ÷ (1 ÷ 2)) ÷ 1 | |
| 52 | (12 ÷ (1 ÷ 2)) × 1 | |
| 53 | (2 ÷ (1 ÷ 12)) × 1 | |
| 54 | (1 ÷ (1 ÷ 12)) × 2 | |
| 55 | (12 ÷ 1) ÷ (1 ÷ 2) | |
| 56 | (2 × 1) ÷ (1 ÷ 12) | |
| 57 | (12 × 1) ÷ (1 ÷ 2) | |
| 58 | 2 ÷ (1 ÷ (12 × 1)) | |
| 59 | 2 ÷ (1 ÷ (12 ÷ 1)) | |
| 60 | 1 ÷ (1 ÷ (12 × 2)) | |
| 61 | 12 ÷ ((1 ÷ 2) ÷ 1) | |
| 62 | 1 ÷ ((1 ÷ 2) ÷ 12) | |
| 63 | 12 ÷ (1 ÷ (2 ÷ 1)) | |
| 64 | 2 ÷ ((1 ÷ 12) ÷ 1) | |
| 65 | 12 ÷ (1 × (1 ÷ 2)) | |
| 66 | 2 ÷ ((1 × 1) ÷ 12) | |
| 67 | 2 ÷ (1 × (1 ÷ 12)) | |
| 68 | 1 ÷ ((1 ÷ 12) ÷ 2) | |
| 69 | 2 ÷ ((1 ÷ 1) ÷ 12) | |
| 70 | 12 ÷ ((1 × 1) ÷ 2) | |
| 71 | 12 × (1 ÷ (1 ÷ 2)) | |
| 72 | 12 ÷ ((1 ÷ 1) ÷ 2) | |
| 73 | 12 ÷ (1 ÷ (2 × 1)) | |
| 74 | 12 ÷ (1 − (1 ÷ 2)) | |