在自然数中,一个三位数个位上的数字和百位上的数字交换后还是一个三位数,它与原三位 数的差的个位数字是 8,则这个差是_______ .
更新时间:2018-07-22 22:08:33
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【推荐1】一个各位数字都不为0的四位正整数
,若千位与个位数字相同,百位与十位数字相同,则称这个数
为“双胞蛋数”.将千位与百位数字交换,十位与个位数字交换,得到一个新的“双胞蛋数”
,并规定
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a107dd27b5514e170b1bdf4d2e317954.png)
______ ;若已知数
为“双胞蛋数”,千位与百位数字互不相同,且
,则满足条件的
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐2】材料:如果一个四位自然数N各个数位的数字都不为0,把它前两位数字组成的两位数记为
,后两位数字组成的两位数记为
,规定
,
,当
为整数时,称这个四位数为“齐心协力数”,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb056a552312d4e8db5bf9ed712c06a8.png)
________ .若“齐心协力数”
,
,
,
,
,
,
为整数),且
除以7余数为2,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447a9718a502491b47072ce013c26a2f.png)
________ .
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