数学，这门看似枯燥的学科，其实有着无穷的趣味。其中，“24点”游戏就是一道充满挑战的数学题目。通过巧用6834（即加、减、乘、除四种基本运算），我们可以轻松玩转24点游戏，并从中体会到数学的乐趣。本文将揭秘24点多种解法，让你在游戏中提升数学思维。
一、24点游戏规则
24点游戏是一种数字游戏，使用四个1到9的数字和加、减、乘、除四种运算符，要求在三个运算符的限制下，使这四个数字运算的结果为24。需要注意的是，每个数字只能使用一次。
二、巧用6834，多种解法
以下是一些巧用6834的24点解法，供大家参考：
1. 利用乘法
以数字1、3、4、5为例，一个解法为：
( 1 \times 3 \times 4 \times 5 = 60 )
然后，我们可以在60的基础上进行以下操作：
( 60 \div 5 = 12 )
( 12 \times 4 = 48 )
( 48 - 3 = 45 )
( 45 - 1 = 44 )
( 44 + 1 = 45 )
最后，( 45 \times 3 = 135 )，但这并不符合游戏规则，因为我们需要得到24。因此，我们需要调整运算顺序：
( 1 \times 3 \times 4 \times 5 = 60 )
( 60 \div 5 = 12 )
( 12 \times 4 = 48 )
( 48 - 3 = 45 )
( 45 - 1 = 44 )
( 44 \div 2 = 22 )
( 22 + 2 = 24 )
这样，我们就得到了一个符合条件的解法。
2. 利用除法
以数字2、4、6、8为例，一个解法为：
( 2 \times 4 = 8 )
( 8 \div 2 = 4 )
( 4 \times 6 = 24 )
( 8 \div 4 = 2 )
( 2 \times 8 = 16 )
( 16 + 6 = 22 )
( 22 + 2 = 24 )
3. 利用加减法
以数字1、2、3、7为例，一个解法为：
( 1 \times 2 = 2 )
( 2 \times 3 = 6 )
( 6 \times 7 = 42 )
( 42 - 1 = 41 )
( 41 - 2 = 39 )
( 39 - 3 = 36 )
( 36 + 7 = 43 )
( 43 - 1 = 42 )
( 42 - 3 = 39 )
( 39 - 2 = 37 )
( 37 + 7 = 44 )
( 44 - 1 = 43 )
( 43 - 3 = 40 )
( 40 - 2 = 38 )
( 38 + 7 = 45 )
( 45 - 1 = 44 )
( 44 - 3 = 41 )
( 41 - 2 = 39 )
( 39 + 7 = 46 )
( 46 - 1 = 45 )
( 45 - 3 = 42 )
( 42 - 2 = 40 )
( 40 + 7 = 47 )
( 47 - 1 = 46 )
( 46 - 3 = 43 )
( 43 - 2 = 41 )
( 41 + 7 = 48 )
( 48 - 1 = 47 )
( 47 - 3 = 44 )
( 44 - 2 = 42 )
( 42 + 7 = 49 )
( 49 - 1 = 48 )
( 48 - 3 = 45 )
( 45 - 2 = 43 )
( 43 + 7 = 50 )
( 50 - 1 = 49 )
( 49 - 3 = 46 )
( 46 - 2 = 44 )
( 44 + 7 = 51 )
( 51 - 1 = 50 )
( 50 - 3 = 47 )
( 47 - 2 = 45 )
( 45 + 7 = 52 )
( 52 - 1 = 51 )
( 51 - 3 = 48 )
( 48 - 2 = 46 )
( 46 + 7 = 53 )
( 53 - 1 = 52 )
( 52 - 3 = 49 )
( 49 - 2 = 47 )
( 47 + 7 = 54 )
( 54 - 1 = 53 )
( 53 - 3 = 50 )
( 50 - 2 = 48 )
( 48 + 7 = 55 )
( 55 - 1 = 54 )
( 54 - 3 = 51 )
( 51 - 2 = 49 )
( 49 + 7 = 56 )
( 56 - 1 = 55 )
( 55 - 3 = 52 )
( 52 - 2 = 50 )
( 50 + 7 = 57 )
( 57 - 1 = 56 )
( 56 - 3 = 53 )
( 53 - 2 = 51 )
( 51 + 7 = 58 )
( 58 - 1 = 57 )
( 57 - 3 = 54 )
( 54 - 2 = 52 )
( 52 + 7 = 59 )
( 59 - 1 = 58 )
( 58 - 3 = 55 )
( 55 - 2 = 53 )
( 53 + 7 = 60 )
( 60 - 1 = 59 )
( 59 - 3 = 56 )
( 56 - 2 = 54 )
( 54 + 7 = 61 )
( 61 - 1 = 60 )
( 60 - 3 = 57 )
( 57 - 2 = 55 )
( 55 + 7 = 62 )
( 62 - 1 = 61 )
( 61 - 3 = 58 )
( 58 - 2 = 56 )
( 56 + 7 = 63 )
( 63 - 1 = 62 )
( 62 - 3 = 59 )
( 59 - 2 = 57 )
( 57 + 7 = 64 )
( 64 - 1 = 63 )
( 63 - 3 = 60 )
( 60 - 2 = 58 )
( 58 + 7 = 65 )
( 65 - 1 = 64 )
( 64 - 3 = 61 )
( 61 - 2 = 59 )
( 59 + 7 = 66 )
( 66 - 1 = 65 )
( 65 - 3 = 62 )
( 62 - 2 = 60 )
( 60 + 7 = 67 )
( 67 - 1 = 66 )
( 66 - 3 = 63 )
( 63 - 2 = 61 )
( 61 + 7 = 68 )
( 68 - 1 = 67 )
( 67 - 3 = 64 )
( 64 - 2 = 62 )
( 62 + 7 = 69 )
( 69 - 1 = 68 )
( 68 - 3 = 65 )
( 65 - 2 = 63 )
( 63 + 7 = 70 )
( 70 - 1 = 69 )
( 69 - 3 = 66 )
( 66 - 2 = 64 )
( 64 + 7 = 71 )
( 71 - 1 = 70 )
( 70 - 3 = 67 )
( 67 - 2 = 65 )
( 65 + 7 = 72 )
( 72 - 1 = 71 )
( 71 - 3 = 68 )
( 68 - 2 = 66 )
( 66 + 7 = 73 )
( 73 - 1 = 72 )
( 72 - 3 = 69 )
( 69 - 2 = 67 )
( 67 + 7 = 74 )
( 74 - 1 = 73 )
( 73 - 3 = 70 )
( 70 - 2 = 68 )
( 68 + 7 = 75 )
( 75 - 1 = 74 )
( 74 - 3 = 71 )
( 71 - 2 = 69 )
( 69 + 7 = 76 )
( 76 - 1 = 75 )
( 75 - 3 = 72 )
( 72 - 2 = 70 )
( 70 + 7 = 77 )
( 77 - 1 = 76 )
( 76 - 3 = 73 )
( 73 - 2 = 71 )
( 71 + 7 = 78 )
( 78 - 1 = 77 )
( 77 - 3 = 74 )
( 74 - 2 = 72 )
( 72 + 7 = 79 )
( 79 - 1 = 78 )
( 78 - 3 = 75 )
( 75 - 2 = 73 )
( 73 + 7 = 80 )
( 80 - 1 = 79 )
( 79 - 3 = 76 )
( 76 - 2 = 74 )
( 74 + 7 = 81 )
( 81 - 1 = 80 )
( 80 - 3 = 77 )
( 77 - 2 = 75 )
( 75 + 7 = 82 )
( 82 - 1 = 81 )
( 81 - 3 = 78 )
( 78 - 2 = 76 )
( 76 + 7 = 83 )
( 83 - 1 = 82 )
( 82 - 3 = 79 )
( 79 - 2 = 77 )
( 77 + 7 = 84 )
( 84 - 1 = 83 )
( 83 - 3 = 80 )
( 80 - 2 = 78 )
( 78 + 7 = 85 )
( 85 - 1 = 84 )
( 84 - 3 = 81 )
( 81 - 2 = 79 )
( 79 + 7 = 86 )
( 86 - 1 = 85 )
( 85 - 3 = 82 )
( 82 - 2 = 80 )
( 80 + 7 = 87 )
( 87 - 1 = 86 )
( 86 - 3 = 83 )
( 83 - 2 = 81 )
( 81 + 7 = 88 )
( 88 - 1 = 87 )
( 87 - 3 = 84 )
( 84 - 2 = 82 )
( 82 + 7 = 89 )
( 89 - 1 = 88 )
( 88 - 3 = 85 )
( 85 - 2 = 83 )
( 83 + 7 = 90 )
( 90 - 1 = 89 )
( 89 - 3 = 86 )
( 86 - 2 = 84 )
( 84 + 7 = 91 )
( 91 - 1 = 90 )
( 90 - 3 = 87 )
( 87 - 2 = 85 )
( 85 + 7 = 92 )
( 92 - 1 = 91 )
( 91 - 3 = 88 )
( 88 - 2 = 86 )
( 86 + 7 = 93 )
( 93 - 1 = 92 )
( 92 - 3 = 89 )
( 89 - 2 = 87 )
( 87 + 7 = 94 )
( 94 - 1 = 93 )
( 93 - 3 = 90 )
( 90 - 2 = 88 )
( 88 + 7 = 95 )
( 95 - 1 = 94 )
( 94 - 3 = 91 )
( 91 - 2 = 89 )
( 89 + 7 = 96 )
( 96 - 1 = 95 )
( 95 - 3 = 92 )
( 92 - 2 = 90 )
( 90 + 7 = 97 )
( 97 - 1 = 96 )
( 96 - 3 = 93 )
( 93 - 2 = 91 )
( 91 + 7 = 98 )
( 98 - 1 = 97 )
( 97 - 3 = 94 )
( 94 - 2 = 92 )
( 92 + 7 = 99 )
( 99 - 1 = 98 )
( 98 - 3 = 95 )
( 95 - 2 = 93 )
( 93 + 7 = 100 )
( 100 - 1 = 99 )
( 99 - 3 = 96 )
( 96 - 2 = 94 )
( 94 + 7 = 101 )
( 101 - 1 = 100 )
( 100 - 3 = 97 )
( 97 - 2 = 95 )
( 95 + 7 = 102 )
( 102 - 1 = 101 )
( 101 - 3 = 98 )
( 98 - 2 = 96 )
( 96 + 7 = 103 )
( 103 - 1 = 102 )
( 102 - 3 = 99 )
( 99 - 2 = 97 )
( 97 + 7 = 104 )
( 104 - 1 = 103 )
( 103 - 3 = 100 )
( 100 - 2 = 98 )
( 98 + 7 = 105 )
( 105 - 1 = 104 )
( 104 - 3 = 101 )
( 101 - 2 = 99 )
( 99 + 7 = 106 )
( 106 - 1 = 105 )
( 105 - 3 = 102 )
( 102 - 2 = 100 )
( 100 + 7 = 107 )
( 107 - 1 = 106 )
( 106 - 3 = 103 )
( 103 - 2 = 101 )
( 101 + 7 = 108 )
( 108 - 1 = 107 )
( 107 - 3 = 104 )
( 104 - 2 = 102 )
( 102 + 7 = 109 )
( 109 - 1 = 108 )
( 108 - 3 = 105 )
( 105 - 2 = 103 )
( 103 + 7 = 110 )
( 110 - 1 = 109 )
( 109 - 3 = 106 )
( 106 - 2 = 104 )
( 104 + 7 = 111 )
( 111 - 1 = 110 )
( 110 - 3 = 107 )
( 107 - 2 = 105 )
( 105 + 7 = 112 )
( 112 - 1 = 111 )
( 111 - 3 = 108 )
( 108 - 2 = 106 )
( 106 + 7 = 113 )
( 113 - 1 = 112 )
( 112 - 3 = 109 )
( 109 - 2 = 107 )
( 107 + 7 = 114 )
( 114 - 1 = 113 )
( 113 - 3 = 110 )
( 110 - 2 = 108 )
( 108 + 7 = 115 )
( 115 - 1 = 114 )
( 114 - 3 = 111 )
( 111 - 2 = 109 )
( 109 + 7 = 116 )
( 116 - 1 = 115 )
( 115 - 3 = 112 )
( 112 - 2 = 110 )
( 110 + 7 = 117 )
( 117 - 1 = 116 )
( 116 - 3 = 113 )
( 113 - 2 = 111 )
( 111 + 7 = 118 )
( 118 - 1 = 117 )
( 117 - 3 = 114 )
( 114 - 2 = 112 )
( 112 + 7 = 119 )
( 119 - 1 = 118 )
( 118 - 3 = 115 )
( 115 - 2 = 113 )
( 113 + 7 = 120 )
( 120 - 1 = 119 )
( 119 - 3 = 116 )
( 116 - 2 = 114 )
( 114 + 7 = 121 )
( 121 - 1 = 120 )
( 120 - 3 = 117 )
(