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解题方法
1 . 如图,在直三棱柱
中,
,
,
,N为棱
上的中点,M为棱
上的动点,过N作平面ABM的垂线段,垂足为点O,当点M从点C运动到点
时,点O的轨迹长度为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19bc7774144c164f7ebaeca54fa657e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6db57eca2a7cbd91bc57372592580a76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023高一·全国·专题练习
名校
2 . 已知一圆锥的侧面展开图是一个中心角为直角的扇形,若该圆锥的侧面积为
,则该圆锥的母线长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd4ece8552b387eb20f633c32f8142f0.png)
A.4 | B.8 | C.6 | D.2![]() |
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3 . 如图所示,有一块扇形铁皮
,要剪下来一个扇环
,作圆台形容器的侧面,并且在余下的扇形
内剪下一块与其相切的圆形使它恰好作圆台形容器的下底面(大底面).试求:
![](https://img.xkw.com/dksih/QBM/2018/10/12/2051947563122688/2058450112200704/STEM/14dd9adc34844cafbc362791be1bd9e4.png?resizew=200)
(1)
的长;
(2)容器的容积.
参考公式:圆台的体积公式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/193a893997674f5f50711b4bfea0943f.png)
分别是上、下底面面积,
为台体的高)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68b1c2552469fa607dc6e8ea1480643c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3201d3796ed9a29338aac25245a7c8e2.png)
![](https://img.xkw.com/dksih/QBM/2018/10/12/2051947563122688/2058450112200704/STEM/14dd9adc34844cafbc362791be1bd9e4.png?resizew=200)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)容器的容积.
参考公式:圆台的体积公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/193a893997674f5f50711b4bfea0943f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9adb74a9ed366ab92a67c14ba9b56800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
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