1 . 割圆术是我国古代数学家刘徽创造的一种求周长和面积的算法:随着圆内接正多边形边数的增加,它的周长和面积越来越接近圆周长和圆面积,“割之弥细,所失弥少,割之又割,以至于不可割,则与圆周合体而无所失矣”.这一思想在数学领域中有广泛的应用.例如:求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aed5a1e062669741feffd057b1b31e6.png)
值.则可以设
,根据上述思想方法有
,解方程得
;试用这个方法解决问题:
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aed5a1e062669741feffd057b1b31e6.png)
![](https://img.xkw.com/dksih/QBM/2024/1/22/3416677041340416/3419628470452224/STEM/c23c2406330e48b99d0b45e8569626df.png?resizew=14)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0483b38daf7c2206d8a50710041005d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa575a7ab9bfa14ea9ed9693c085a0eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62adf679b3078bfaea5610a1c4d35e39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f155f9756e2c093f903ba70d37d44293.png)
A.2 | B.![]() | C.3 | D.![]() |
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A.2 | B.![]() | C.3 | D.![]() |