24点 1 4 8 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 4 8 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 100 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 100 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：1,4,8,12 的解法 | |
|---|---|---|
| 1 | ((12 × 1) + 4) + 8 | |
| 2 | ((12 + 4) + 8) × 1 | |
| 3 | ((8 + 1) × 4) − 12 | |
| 4 | ((12 + 8) + 4) × 1 | |
| 5 | ((12 + 8) × 1) + 4 | |
| 6 | ((12 × 1) + 8) + 4 | |
| 7 | ((12 + 4) × 1) + 8 | |
| 8 | (12 + (8 × 1)) + 4 | |
| 9 | (12 + 8) + (4 × 1) | |
| 10 | (12 + (4 × 1)) + 8 | |
| 11 | (12 + (8 + 4)) × 1 | |
| 12 | (12 × 1) + (8 + 4) | |
| 13 | (8 + 4) + (12 × 1) | |
| 14 | (12 + 4) + (8 × 1) | |
| 15 | 12 + ((8 + 4) × 1) | |
| 16 | 12 + (8 + (4 × 1)) | |
| 17 | 12 + ((8 × 1) + 4) | |
| 18 | ((12 ÷ 1) × 8) ÷ 4 | |
| 19 | ((12 × 8) ÷ 4) × 1 | |
| 20 | ((12 × 1) × 8) ÷ 4 | |
| 21 | ((12 + 8) ÷ 1) + 4 | |
| 22 | ((12 ÷ 1) + 4) + 8 | |
| 23 | ((12 + 4) ÷ 1) + 8 | |
| 24 | ((12 × 8) × 1) ÷ 4 | |
| 25 | ((12 + 8) + 4) ÷ 1 | |
| 26 | ((12 × 8) ÷ 1) ÷ 4 | |
| 27 | ((12 ÷ 1) + 8) + 4 | |
| 28 | ((12 + 4) + 8) ÷ 1 | |
| 29 | ((12 × 8) ÷ 4) ÷ 1 | |
| 30 | (12 × 8) ÷ (4 ÷ 1) | |
| 31 | (12 + (8 + 4)) ÷ 1 | |
| 32 | (8 + 4) + (12 ÷ 1) | |
| 33 | (12 + (4 ÷ 1)) + 8 | |
| 34 | (12 × (8 ÷ 4)) × 1 | |
| 35 | (12 + (8 ÷ 1)) + 4 | |
| 36 | (12 × (8 ÷ 4)) ÷ 1 | |
| 37 | (8 × (12 ÷ 4)) × 1 | |
| 38 | (12 × (8 ÷ 1)) ÷ 4 | |
| 39 | (8 × 1) × (12 ÷ 4) | |
| 40 | (12 + 8) + (4 ÷ 1) | |
| 41 | (8 × (12 ÷ 4)) ÷ 1 | |
| 42 | (12 + 4) + (8 ÷ 1) | |
| 43 | (12 × (8 × 1)) ÷ 4 | |
| 44 | (8 ÷ 1) × (12 ÷ 4) | |
| 45 | (12 × 8) ÷ (4 × 1) | |
| 46 | (12 ÷ 1) + (8 + 4) | |
| 47 | (12 ÷ 1) × (8 ÷ 4) | |
| 48 | (12 × 1) × (8 ÷ 4) | |
| 49 | 12 × ((8 × 1) ÷ 4) | |
| 50 | 8 × ((12 × 1) ÷ 4) | |
| 51 | 8 × ((12 ÷ 1) ÷ 4) | |
| 52 | 12 × ((8 ÷ 1) ÷ 4) | |
| 53 | 8 × ((12 ÷ 4) ÷ 1) | |
| 54 | 12 × ((8 ÷ 4) × 1) | |
| 55 | 12 + ((8 ÷ 1) + 4) | |
| 56 | 12 × ((8 ÷ 4) ÷ 1) | |
| 57 | 12 + ((8 + 4) ÷ 1) | |
| 58 | 8 × (12 ÷ (4 × 1)) | |
| 59 | 8 × ((12 ÷ 4) × 1) | |
| 60 | 8 × (12 ÷ (4 ÷ 1)) | |
| 61 | 12 × (8 ÷ (4 ÷ 1)) | |
| 62 | 12 × (8 ÷ (4 × 1)) | |
| 63 | 12 + (8 + (4 ÷ 1)) | |
| 64 | (12 ÷ (4 ÷ 8)) ÷ 1 | |
| 65 | (8 ÷ (4 ÷ 12)) ÷ 1 | |
| 66 | (12 × 1) ÷ (4 ÷ 8) | |
| 67 | (8 × 1) ÷ (4 ÷ 12) | |
| 68 | (12 ÷ 1) ÷ (4 ÷ 8) | |
| 69 | (8 ÷ 4) ÷ (1 ÷ 12) | |
| 70 | (12 × 8) × (1 ÷ 4) | |
| 71 | (8 ÷ (1 ÷ 12)) ÷ 4 | |
| 72 | (12 ÷ 4) ÷ (1 ÷ 8) | |
| 73 | (12 ÷ (1 ÷ 8)) ÷ 4 | |
| 74 | (12 ÷ (4 ÷ 8)) × 1 | |
| 75 | (8 ÷ 1) ÷ (4 ÷ 12) | |
| 76 | (8 ÷ (4 ÷ 12)) × 1 | |
| 77 | 12 ÷ (1 × (4 ÷ 8)) | |
| 78 | 1 ÷ (4 ÷ (12 × 8)) | |
| 79 | 12 × (1 ÷ (4 ÷ 8)) | |
| 80 | 1 ÷ ((4 ÷ 8) ÷ 12) | |
| 81 | 12 ÷ ((4 × 1) ÷ 8) | |
| 82 | 8 ÷ (4 ÷ (12 × 1)) | |
| 83 | 8 ÷ (4 × (1 ÷ 12)) | |
| 84 | 8 ÷ ((4 ÷ 12) ÷ 1) | |
| 85 | 8 ÷ (1 ÷ (12 ÷ 4)) | |
| 86 | 12 ÷ ((4 ÷ 8) ÷ 1) | |
| 87 | 8 ÷ ((4 × 1) ÷ 12) | |
| 88 | 8 ÷ (4 ÷ (12 ÷ 1)) | |
| 89 | 12 ÷ (4 × (1 ÷ 8)) | |
| 90 | 12 ÷ (1 ÷ (8 ÷ 4)) | |
| 91 | 12 ÷ ((4 ÷ 1) ÷ 8) | |
| 92 | 8 × (12 × (1 ÷ 4)) | |
| 93 | 8 ÷ ((4 ÷ 1) ÷ 12) | |
| 94 | 12 × (8 × (1 ÷ 4)) | |
| 95 | 12 ÷ (4 ÷ (8 × 1)) | |
| 96 | 12 ÷ (4 ÷ (8 ÷ 1)) | |
| 97 | 8 × (1 ÷ (4 ÷ 12)) | |
| 98 | 8 ÷ (1 × (4 ÷ 12)) | |
| 99 | 1 ÷ ((4 ÷ 12) ÷ 8) | |
| 100 | 12 ÷ (1 − (4 ÷ 8)) | |