如图是一个运算程序的示意图,若开始输入x的值为81,则第2019次输出的结果为 ______ .
![](https://img.xkw.com/dksih/QBM/2019/11/25/2341433407512576/2345059756802048/STEM/8990c989017e48febb2c4cd6ba16b8ff.png?resizew=302)
更新时间:2019-11-30 14:59:12
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【推荐1】一组“数值转换机”按下面的程序计算,如果输入的数是30,则输出的结果为54,要使输出的结果为58,则输入的最小正整数是____ .
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/16/89ca36ba-b780-46e4-8f03-58cdcd4743f4.png?resizew=364)
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【推荐2】根据如图所示的计算程序,若输入
的值为
,则输出
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://img.xkw.com/dksih/QBM/2019/8/27/2277865547268096/2278059998519296/STEM/f2b9308c9774491abf42100faa6a5c92.png?resizew=519)
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【推荐1】【信息提取】
由3,4,5,可得
;
由5,12,13,可得
;
由7,24,25,可得
;……
【问题解决】
由13,
,
,可得
.此时,
和
的值分别是________ .
由3,4,5,可得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b1568bba63bea862ff0df3a06229f7.png)
由5,12,13,可得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd2fde532a75f58ce0ad5c52251fcffb.png)
由7,24,25,可得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1c6c8cf3ee76b050b40a2dfdd8e6fa5.png)
【问题解决】
由13,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0c90d023fafc5b855169e9d9dbbe98d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7f90133bfa96f55e79127b6d44ba628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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【推荐2】对于正整数n,定义
,其中
表示n的首位数字与末位数字的平方和,例如:
,
.
规定:
,
(k为正整数),
例如:
.
按此定义,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c9fe04aabdfa4b65ba21e26a57b734.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b9808f2f1d0042d585c3799578d9c26.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aad2b25b02bc3d3899a1d49220a43703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38fcec7af3520884b173b29bda6c657a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0af6d789a04019fbd1e0e533d1dba421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9baabc2cae913e3498591215b51b0ab.png)
规定:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a4be484f18dd45d588d56d256cc63d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e074a95a8bed76c863a0ae44081fd33e.png)
例如:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a8dd411d3f1b959392350633a629afa.png)
按此定义,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c9fe04aabdfa4b65ba21e26a57b734.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b9808f2f1d0042d585c3799578d9c26.png)
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