解题方法
1 . 已知某几何体的三视图如下所示,现有如下说法:
![](https://img.xkw.com/dksih/QBM/2021/5/25/2728772013023232/2731982409433088/STEM/71d449dd-daf1-4956-bb1e-ee3d1c4bd6c2.png?resizew=241)
①该几何体的最长棱长为
;
②该几何体的体积为2;
③该几何体的表面积为
,
则其中所有正确说法的序号是( )
![](https://img.xkw.com/dksih/QBM/2021/5/25/2728772013023232/2731982409433088/STEM/71d449dd-daf1-4956-bb1e-ee3d1c4bd6c2.png?resizew=241)
①该几何体的最长棱长为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619096595112f0340a43b756e114dd3d.png)
②该几何体的体积为2;
③该几何体的表面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31f77350083606561739c277fffe9eb6.png)
则其中所有正确说法的序号是( )
A.③ | B.①② | C.①③ | D.①②③ |
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2 . 如图,棱长为2的正方体
中,P、Q分别是面对角线
与BD上的动点,且
,给出下列两个判断:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/fe8a16dc-b5f2-4e71-9700-68a0066edf69.png?resizew=164)
(1)PQ和
始终是异面直线;
(2)PQ长的最小值是
;
则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d7b64a0de3cbdfe5d348041d27e1179.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/fe8a16dc-b5f2-4e71-9700-68a0066edf69.png?resizew=164)
(1)PQ和
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
(2)PQ长的最小值是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18483c9c195ecd922772527fa85c0fcb.png)
则下列说法正确的是( )
A.(1)正确,(2)错误 | B.(1)错误,(2)正确 |
C.(1)正确,(2)正确 | D.(1)错误,(2)错误 |
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