24点 1 2 4 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 2 4 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 81 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 81 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：1,2,4,12 的解法 | |
|---|---|---|
| 1 | (12 × (4 − 2)) × 1 | |
| 2 | (12 × 1) × (4 − 2) | |
| 3 | (12 − 4) × (2 + 1) | |
| 4 | 12 × ((4 − 2) × 1) | |
| 5 | 12 × ((4 × 1) − 2) | |
| 6 | 12 × (4 − (2 × 1)) | |
| 7 | 12 + (4 × (2 + 1)) | |
| 8 | ((12 × 4) × 1) ÷ 2 | |
| 9 | ((12 × 1) × 4) ÷ 2 | |
| 10 | ((12 × 4) ÷ 1) ÷ 2 | |
| 11 | ((12 ÷ 1) × 4) ÷ 2 | |
| 12 | ((12 ÷ 2) ÷ 1) × 4 | |
| 13 | ((12 ÷ 2) × 1) × 4 | |
| 14 | ((12 ÷ 2) × 4) × 1 | |
| 15 | ((12 ÷ 1) ÷ 2) × 4 | |
| 16 | ((12 ÷ 2) × 4) ÷ 1 | |
| 17 | ((12 × 1) ÷ 2) × 4 | |
| 18 | ((12 × 4) ÷ 2) × 1 | |
| 19 | ((12 × 4) ÷ 2) ÷ 1 | |
| 20 | (12 ÷ 2) × (4 ÷ 1) | |
| 21 | (12 ÷ 1) × (4 ÷ 2) | |
| 22 | (12 × 4) ÷ (2 ÷ 1) | |
| 23 | (12 ÷ (2 × 1)) × 4 | |
| 24 | (12 ÷ 1) × (4 − 2) | |
| 25 | (12 × (4 − 2)) ÷ 1 | |
| 26 | (12 ÷ (2 ÷ 1)) × 4 | |
| 27 | (12 × 1) × (4 ÷ 2) | |
| 28 | (12 × (4 ÷ 2)) ÷ 1 | |
| 29 | (12 × (4 ÷ 1)) ÷ 2 | |
| 30 | (12 × 4) ÷ (2 × 1) | |
| 31 | (12 × (4 × 1)) ÷ 2 | |
| 32 | (12 ÷ 2) × (4 × 1) | |
| 33 | (12 × (4 ÷ 2)) × 1 | |
| 34 | 12 × (4 − (2 ÷ 1)) | |
| 35 | 12 × (4 ÷ (2 ÷ 1)) | |
| 36 | 12 × ((4 ÷ 2) × 1) | |
| 37 | 12 × ((4 ÷ 1) − 2) | |
| 38 | 12 × ((4 × 1) ÷ 2) | |
| 39 | 12 × ((4 ÷ 1) ÷ 2) | |
| 40 | 12 × ((4 ÷ 2) ÷ 1) | |
| 41 | 12 × ((4 − 2) ÷ 1) | |
| 42 | 12 × (4 ÷ (2 × 1)) | |
| 43 | (4 ÷ (1 ÷ 12)) ÷ 2 | |
| 44 | (12 ÷ (1 ÷ 4)) ÷ 2 | |
| 45 | (4 × 1) ÷ (2 ÷ 12) | |
| 46 | (1 ÷ (2 ÷ 12)) × 4 | |
| 47 | (12 × (1 ÷ 2)) × 4 | |
| 48 | (4 ÷ (2 ÷ 12)) × 1 | |
| 49 | (4 ÷ 2) ÷ (1 ÷ 12) | |
| 50 | (4 ÷ (2 ÷ 12)) ÷ 1 | |
| 51 | (4 ÷ 1) ÷ (2 ÷ 12) | |
| 52 | (12 × 4) × (1 ÷ 2) | |
| 53 | (12 × 1) ÷ (2 ÷ 4) | |
| 54 | (12 ÷ 1) ÷ (2 ÷ 4) | |
| 55 | (12 ÷ (2 ÷ 4)) ÷ 1 | |
| 56 | (4 − 2) ÷ (1 ÷ 12) | |
| 57 | (12 ÷ (2 ÷ 4)) × 1 | |
| 58 | (12 ÷ 2) ÷ (1 ÷ 4) | |
| 59 | 1 ÷ (2 ÷ (12 × 4)) | |
| 60 | 12 ÷ ((2 ÷ 1) ÷ 4) | |
| 61 | 1 ÷ ((2 ÷ 12) ÷ 4) | |
| 62 | 12 ÷ ((2 × 1) ÷ 4) | |
| 63 | 4 ÷ (2 ÷ (12 ÷ 1)) | |
| 64 | 12 × (4 × (1 ÷ 2)) | |
| 65 | 4 ÷ ((2 ÷ 12) ÷ 1) | |
| 66 | 12 ÷ (2 × (1 ÷ 4)) | |
| 67 | 12 × (1 ÷ (2 ÷ 4)) | |
| 68 | 12 ÷ (2 ÷ (4 × 1)) | |
| 69 | 12 ÷ (1 ÷ (4 ÷ 2)) | |
| 70 | 12 ÷ (1 ÷ (4 − 2)) | |
| 71 | 4 ÷ (2 ÷ (12 × 1)) | |
| 72 | 4 ÷ (1 × (2 ÷ 12)) | |
| 73 | 12 ÷ (1 − (2 ÷ 4)) | |
| 74 | 4 ÷ ((2 × 1) ÷ 12) | |
| 75 | 12 ÷ (1 × (2 ÷ 4)) | |
| 76 | 4 ÷ ((2 ÷ 1) ÷ 12) | |
| 77 | 4 ÷ (2 × (1 ÷ 12)) | |
| 78 | 12 ÷ ((2 ÷ 4) ÷ 1) | |
| 79 | 12 ÷ (2 ÷ (4 ÷ 1)) | |
| 80 | 1 ÷ ((2 ÷ 4) ÷ 12) | |
| 81 | 4 ÷ (1 ÷ (12 ÷ 2)) | |