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1 . 中国古代数学的瑰宝《九章算术》中记载了一种称为“曲池”的几何体,该几何体是上、下底面均为扇环形的柱体(扇环是指圆环被扇形截得的部分).现有一个如图所示的曲池,
垂直于底面,
,
,底面扇环所对的圆心角为
,弧
的长度是弧
长度的2倍,
,则该曲池的体积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/5/a588e6a0-e36e-4c29-98b5-160011c1694f.png?resizew=161)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d927585a17c2e98ef7d5a9589a26ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037b342a682cbd4241855a243da3c016.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/5/a588e6a0-e36e-4c29-98b5-160011c1694f.png?resizew=161)
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2023-02-03更新
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3卷引用:山西省太原市2023届高三上学期期末数学试题