已知正方体ABCD﹣A'B′C′D′棱长为3,点P在棱AB上,满足PA=2PB,过点P的平面α与BD′垂直,则平面α截正方体所得截面面积为( )
A.![]() | B.![]() | C.![]() | D.![]() |
更新时间:2020-03-21 16:43:14
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【推荐1】在正方体
中,
,E为棱
的中点,则平面
截正方体
的截面面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7850e88507969a07a9515347b97c7b6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
A.![]() | B.![]() | C.4 | D.![]() |
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【推荐2】如图,在棱长为4的正方体
中,E为
的中点.过点
,E,A的平面截该正方体所得的截面周长为( )
![](https://img.xkw.com/dksih/QBM/2020/7/9/2501761716486144/2502439733846016/STEM/d01f6258d37a4e83a363bcb7bf55159f.png?resizew=213)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbafedc202bd0d86c4dfdece9f8f4fe.png)
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A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐1】《九章算术》中将底面为直角三角形且侧棱垂直于底面的三棱柱称为“堑堵”;底面为矩形,一条侧棱垂直于底面的四棱锥称之为“阳马”;四个面均为直角三角形的四面体称为“鳖臑”.如图在堑堵
中,
,且
.下列说法不正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/42dcf45a-66fb-45a4-aa15-b7200da30af6.png?resizew=134)
![](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/4339a40ae9d1947ec3a4b3e2fa3a16cd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/42dcf45a-66fb-45a4-aa15-b7200da30af6.png?resizew=134)
A.四棱锥![]() |
B.四面体![]() |
C.过![]() ![]() ![]() ![]() ![]() ![]() |
D.四棱锥![]() ![]() |
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【推荐2】如图,在矩形
中,
为
边上的点,且
,将
沿
所在直线翻折到
的位置,使
,则四棱锥
的体积为( )
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59e5108c34fe4bdd89fd9d75ea54f446.png)
A.![]() | B.![]() |
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