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解题方法
1 . 对于一个各数位数字均不为零的四位自然数m,若千位与百位数字之和等于十位与个位数字之和,则称m为“一致数”.设一个“一致数”
满足
且
.将m的千位与十位数字对调,百位与个位数字对调得到新数
.并记
;一个两位数
,将N的各个数位数字之和记为
;当
(k为整数)时,则所有满足条件的“一致数”m中,满足
为偶数时,k的值为______ ,m的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1e07c53fdff2b5d988a8226dca78e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98e39d0cb8cf6df4615e91cfde4c4ae0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae3012337aa392709349731fb1eef5b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7093538ecfb10a639b23863e7331a66d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9181f91241572b7941bf1cae1c9f844d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760cae27a835fec7e42ad2c26c856cc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/489324bdb9d03ba9b296d33131cd1d2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c263292fa5dabc8796c530eb74b2568.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/489324bdb9d03ba9b296d33131cd1d2d.png)
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