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【320569】【详解】5年级第20讲_数字谜综合一

时间:2025-01-08 18:26:44 作者: 字数:4308字
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第二十讲 数字谜综合一


  1. 答案:3810
    详解:列竖式,易知D0G1,且O是偶数.那么 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> 可能是1220144016601880,其中12201660不是8的倍数,对应的加法算式分别是 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> ,只有第二个满足.那么 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a>3810

  2. 答案: <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a>
    详解: <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> .考虑最大的质因数17,可知等号两边的两位数中都有17的倍数,可能是173468.那么952可以拆成 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> .考虑到8个数字不重复,只能是 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a>

  3. 答案:167583167853
    详解: <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> ,则另外三个数不能有质因数2357.其中一位数只能是1.还剩35678这五个数字.两位数要分情况讨论:(1)个位数字为3,有537383三组符合要求.对应的,三位数的三个数字分别为678568567.经检验,均不符合要求.(2)个位数字为7,有3767两组符合要求.对应的,三位数的三个数字分别为568358.经检验,有583853符合要求.综上所述,一共有:167583167853两组答案.

  4. 答案:16
    详解: <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a>11的倍数,所以 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> 也是11的倍数.三位数中满足 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> 这种形式,又是11的倍数的数有:121242363484616737858979.依次验证几种情况,发现:当 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a>616,那么“学”为6,“数”为1,“ <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> ”变为“ <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> ”,可知“科”为5,符合题意.其它情况逐一检验,没有符合题目要求的答案.所以“ <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> ”代表的两位数为16

  5. 答案:968510
    详解:第一个算式可以变为“ <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> ”,所以“ <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> ”是121的倍数.121的倍数中,三位数有121242363484605726847968,共8个. <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> 中没有重复数字,所以只可能是605726847968之一.依次验证几种情况,发现:当“花相似”968,那么 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> 8,只能分别是1824.其中18这种情况与“似”等于8矛盾,24这种情况满足要求.由第二个算式可以看出,“岁”小于“年”,因此岁 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> ,年 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> .第二个算式为 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> ,已经用过的数字为24689,所以“人”、“不”、“同”只能在01357中取,只能分别是510.综上所述,“花相似人不同”所代表的六位数是968510



  6. 答案:83

详解:按照混循环小数化分数的方法, <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> ,因此等式变为 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> ,即 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> ,可知 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> .那么 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> 一定是45的倍数,即为59的倍数,因此 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> 计算结果的个位一定是0后者5,那么 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> 的个位一定是3或者8,即 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a>

 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> 时, <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> 一定是9的倍数,可知 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> ,原数为 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> 不符合题意.

 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> 时, <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a>9的倍数,可知 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> ,原数为 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> ,符合题意,可知 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a>a83

  1. 答案:2417
    简答:易知刘是1,且吉是偶数.那么 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> 可能是100122144166188,其中只有1448的倍数.那么算式应该是 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> ,要求的四位数是2417

  2. 答案:1026
    简答: <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> .考虑最大的质因数19.等号两边都有19的倍数,可以是1938571026可以拆成 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> .考虑到8个数字互不相同,只能是 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a>

  3. 答案:5263
    简答:还有2356可以用. <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> ,一位数只能是5.剩下的三位数只能以3结尾,而6237的倍数,不满足条件,只能是263

  4. 答案:79
    简答: <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a>37的倍数,说明等号左边一定有37的倍数,可能是3774.经验证算式只能是 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a>

  1. 答案: <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a>
    简答:21中有质因数7,所以 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> 应该是7的倍数,只能填18,经检验,应填1

  2. 答案:743529
    简答: <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> ,一位数只能是7,另外两个数的末尾只能是39.剩下的数字之和除以32,只能拆成两个除以31的组合,所以425是分成两组,497的倍数,所以两位数只能是432597的倍数,所以三位数只能是529

  3. 答案: <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a>
    简答: <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> ,所以是 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a>

  4. 答案:137
    简答:两个重复的三位数组成的六位数一定是1001的倍数,而 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> ,所以“钓”、“鱼”、“岛”分别为137

  5. 答案:235
    简答:由分数化循环小数的方法可得, <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a> .所以 <a href="/tags/226/" title="数字" class="c1" target="_blank">数字</a> <a href="/tags/279/" title="综合" class="c1" target="_blank">综合</a> <a href="/tags/545/" title="字谜" class="c1" target="_blank">字谜</a>b=2a=235

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