1 . 如图是杭州2022年第19届亚运会会徽,名为“潮涌”,如图是会徽的几何图形,设弧
长度是
,弧
长度是
,几何图形
面积为
,扇形
面积为
,若
,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/17/48e2fbd9-56bc-4e07-88e8-6f59b2981e25.png?resizew=322)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa3a310c1f8a5af35dc3328d874e18e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f4aec039220bf15dbb3d4b17ab43bd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a39f04d1c3551403dbbed35deb01232.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/17/48e2fbd9-56bc-4e07-88e8-6f59b2981e25.png?resizew=322)
A.5 | B.6 | C.7 | D.8 |
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8卷引用:云南省楚雄彝族自治州民族中学2022-2023学年高二下学期3月月考数学试题
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2 . 如图所示的时钟显示的时刻为
,此时时针与分针的夹角为
.若一个半径为
的扇形的圆心角为
,则该扇形的面积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/3/d2239c3b-0ac7-4ec3-8dd8-9ce9ec6cec32.png?resizew=143)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7a6c5c82f7d301815c8d589fc3d42e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7910307744e438ee97bb6882ff634816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/3/d2239c3b-0ac7-4ec3-8dd8-9ce9ec6cec32.png?resizew=143)
A.![]() | B.![]() | C.![]() | D.![]() |
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9卷引用:云南省楚雄州2021-2022学年高一上学期期末教育学业质量监测数学试题
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3 . 已知一扇形的圆心角为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
,周长为
,面积为
,所在圆的半径为
.
(1)若
,
,求扇形的弧长及该弧所在的弓形的面积;
(2)若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dd45ff3e4038c03b700820cdfa3fb4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ac762a2899a58faa0d3ab44f1281fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/210e4cc913c2b111e67f1e033b69824a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5964563a21c65be70fd2f92d1513e012.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65bb08d1921326114e6f4e830ba1207b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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