大众途锐保养费用:◆◇◆动脑筋 ◆◇◆9

来源:百度文库 编辑:查人人中国名人网 时间:2024/04/25 00:28:41
A*B+B*C+C*D=所有整数的答案

字母为不是0的三个自然数.试求所有答案.
提示:A<B<C<D

1 * 2 + 2 * 3 + 3 * 4 = 20
1 * 2 + 2 * 3 + 3 * 5 = 23
1 * 2 + 2 * 3 + 3 * 6 = 26
1 * 2 + 2 * 3 + 3 * 7 = 29
1 * 2 + 2 * 3 + 3 * 8 = 32
1 * 2 + 2 * 3 + 3 * 9 = 35
1 * 2 + 2 * 4 + 4 * 5 = 30
1 * 2 + 2 * 4 + 4 * 6 = 34
1 * 2 + 2 * 4 + 4 * 7 = 38
1 * 2 + 2 * 4 + 4 * 8 = 42
1 * 2 + 2 * 4 + 4 * 9 = 46
1 * 2 + 2 * 5 + 5 * 6 = 42
1 * 2 + 2 * 5 + 5 * 7 = 47
1 * 2 + 2 * 5 + 5 * 8 = 52
1 * 2 + 2 * 5 + 5 * 9 = 57
1 * 2 + 2 * 6 + 6 * 7 = 56
1 * 2 + 2 * 6 + 6 * 8 = 62
1 * 2 + 2 * 6 + 6 * 9 = 68
1 * 2 + 2 * 7 + 7 * 8 = 72
1 * 2 + 2 * 7 + 7 * 9 = 79
1 * 2 + 2 * 8 + 8 * 9 = 90
1 * 3 + 3 * 4 + 4 * 5 = 35
1 * 3 + 3 * 4 + 4 * 6 = 39
1 * 3 + 3 * 4 + 4 * 7 = 43
1 * 3 + 3 * 4 + 4 * 8 = 47
1 * 3 + 3 * 4 + 4 * 9 = 51
1 * 3 + 3 * 5 + 5 * 6 = 48
1 * 3 + 3 * 5 + 5 * 7 = 53
1 * 3 + 3 * 5 + 5 * 8 = 58
1 * 3 + 3 * 5 + 5 * 9 = 63
1 * 3 + 3 * 6 + 6 * 7 = 63
1 * 3 + 3 * 6 + 6 * 8 = 69
1 * 3 + 3 * 6 + 6 * 9 = 75
1 * 3 + 3 * 7 + 7 * 8 = 80
1 * 3 + 3 * 7 + 7 * 9 = 87
1 * 3 + 3 * 8 + 8 * 9 = 99
1 * 4 + 4 * 5 + 5 * 6 = 54
1 * 4 + 4 * 5 + 5 * 7 = 59
1 * 4 + 4 * 5 + 5 * 8 = 64
1 * 4 + 4 * 5 + 5 * 9 = 69
1 * 4 + 4 * 6 + 6 * 7 = 70
1 * 4 + 4 * 6 + 6 * 8 = 76
1 * 4 + 4 * 6 + 6 * 9 = 82
1 * 4 + 4 * 7 + 7 * 8 = 88
1 * 4 + 4 * 7 + 7 * 9 = 95
1 * 4 + 4 * 8 + 8 * 9 = 108
1 * 5 + 5 * 6 + 6 * 7 = 77
1 * 5 + 5 * 6 + 6 * 8 = 83
1 * 5 + 5 * 6 + 6 * 9 = 89
1 * 5 + 5 * 7 + 7 * 8 = 96
1 * 5 + 5 * 7 + 7 * 9 = 103
1 * 5 + 5 * 8 + 8 * 9 = 117
1 * 6 + 6 * 7 + 7 * 8 = 104
1 * 6 + 6 * 7 + 7 * 9 = 111
1 * 6 + 6 * 8 + 8 * 9 = 126
1 * 7 + 7 * 8 + 8 * 9 = 135
2 * 3 + 3 * 4 + 4 * 5 = 38
2 * 3 + 3 * 4 + 4 * 6 = 42
2 * 3 + 3 * 4 + 4 * 7 = 46
2 * 3 + 3 * 4 + 4 * 8 = 50
2 * 3 + 3 * 4 + 4 * 9 = 54
2 * 3 + 3 * 5 + 5 * 6 = 51
2 * 3 + 3 * 5 + 5 * 7 = 56
2 * 3 + 3 * 5 + 5 * 8 = 61
2 * 3 + 3 * 5 + 5 * 9 = 66
2 * 3 + 3 * 6 + 6 * 7 = 66
2 * 3 + 3 * 6 + 6 * 8 = 72
2 * 3 + 3 * 6 + 6 * 9 = 78
2 * 3 + 3 * 7 + 7 * 8 = 83
2 * 3 + 3 * 7 + 7 * 9 = 90
2 * 3 + 3 * 8 + 8 * 9 = 102
2 * 4 + 4 * 5 + 5 * 6 = 58
2 * 4 + 4 * 5 + 5 * 7 = 63
2 * 4 + 4 * 5 + 5 * 8 = 68
2 * 4 + 4 * 5 + 5 * 9 = 73
2 * 4 + 4 * 6 + 6 * 7 = 74
2 * 4 + 4 * 6 + 6 * 8 = 80
2 * 4 + 4 * 6 + 6 * 9 = 86
2 * 4 + 4 * 7 + 7 * 8 = 92
2 * 4 + 4 * 7 + 7 * 9 = 99
2 * 4 + 4 * 8 + 8 * 9 = 112
2 * 5 + 5 * 6 + 6 * 7 = 82
2 * 5 + 5 * 6 + 6 * 8 = 88
2 * 5 + 5 * 6 + 6 * 9 = 94
2 * 5 + 5 * 7 + 7 * 8 = 101
2 * 5 + 5 * 7 + 7 * 9 = 108
2 * 5 + 5 * 8 + 8 * 9 = 122
2 * 6 + 6 * 7 + 7 * 8 = 110
2 * 6 + 6 * 7 + 7 * 9 = 117
2 * 6 + 6 * 8 + 8 * 9 = 132
2 * 7 + 7 * 8 + 8 * 9 = 142
3 * 4 + 4 * 5 + 5 * 6 = 62
3 * 4 + 4 * 5 + 5 * 7 = 67
3 * 4 + 4 * 5 + 5 * 8 = 72
3 * 4 + 4 * 5 + 5 * 9 = 77
3 * 4 + 4 * 6 + 6 * 7 = 78
3 * 4 + 4 * 6 + 6 * 8 = 84
3 * 4 + 4 * 6 + 6 * 9 = 90
3 * 4 + 4 * 7 + 7 * 8 = 96
3 * 4 + 4 * 7 + 7 * 9 = 103
3 * 4 + 4 * 8 + 8 * 9 = 116
3 * 5 + 5 * 6 + 6 * 7 = 87
3 * 5 + 5 * 6 + 6 * 8 = 93
3 * 5 + 5 * 6 + 6 * 9 = 99
3 * 5 + 5 * 7 + 7 * 8 = 106
3 * 5 + 5 * 7 + 7 * 9 = 113
3 * 5 + 5 * 8 + 8 * 9 = 127
3 * 6 + 6 * 7 + 7 * 8 = 116
3 * 6 + 6 * 7 + 7 * 9 = 123
3 * 6 + 6 * 8 + 8 * 9 = 138
3 * 7 + 7 * 8 + 8 * 9 = 149
4 * 5 + 5 * 6 + 6 * 7 = 92
4 * 5 + 5 * 6 + 6 * 8 = 98
4 * 5 + 5 * 6 + 6 * 9 = 104
4 * 5 + 5 * 7 + 7 * 8 = 111
4 * 5 + 5 * 7 + 7 * 9 = 118
4 * 5 + 5 * 8 + 8 * 9 = 132
4 * 6 + 6 * 7 + 7 * 8 = 122
4 * 6 + 6 * 7 + 7 * 8 = 122
4 * 6 + 6 * 8 + 8 * 9 = 144
4 * 7 + 7 * 8 + 8 * 9 = 156
5 * 6 + 6 * 7 + 7 * 8 = 128
5 * 6 + 6 * 7 + 7 * 9 = 135
5 * 6 + 6 * 8 + 8 * 9 = 150
5 * 7 + 7 * 8 + 8 * 9 = 163
6 * 7 + 7 * 8 + 8 * 9 = 170

答案是空集 没有答案啦 整数中有负数 你能得出负数来~~??

自然数相乘答案大于0 三个大于0的数相加 不可能等于所有整数 所以 无解