解题方法
1 . 算法是数学及其应用的重要组成部分.巴比伦人很早就发明了用表达式
不断迭代的方法计算
的近似值.即先令
,求出
的值;将求出的值再代入
,求出值,以此类推,就可以很快得到
的近似值.下图是根据此法求
的近似值的程序框图,则输出的
值等于______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28ccfddaf932956f6e62582e89acc638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28ccfddaf932956f6e62582e89acc638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28ccfddaf932956f6e62582e89acc638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://img.xkw.com/dksih/QBM/2022/4/22/2963684927225856/2964931341352960/STEM/06d79ea8-86d8-4700-8da0-f411f1a5ffb9.png?resizew=264)
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