1 . 如图,在边长为3的正方体
中,点P,Q,R分别在AB,
,
上,且AP=
=1,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3db1494a1d927f971490c18a54cbcce.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/17e95837-2109-42e4-9ca2-227096bfdce4.png?resizew=197)
(1)求点D到平面PQR的距离
(2)判断点N是否在平面PQR内,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3334853138fb74687d66b1e45f2fd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d105ed140e47249d237dbdfda67ef131.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3db1494a1d927f971490c18a54cbcce.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/17e95837-2109-42e4-9ca2-227096bfdce4.png?resizew=197)
(1)求点D到平面PQR的距离
(2)判断点N是否在平面PQR内,并证明你的结论.
您最近一年使用:0次
2022-01-09更新
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248次组卷
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2卷引用:福建省泉州市2021-2022学年高二上学期期中联考数学试题
2 . 已知E,F,G,H分别是空间四边形ABCD的边AB,BC,CD,DA的中点.
![](https://img.xkw.com/dksih/QBM/2021/12/30/2883785260703744/2885873556455424/STEM/1c8f5b2d-aaa7-494e-86b5-cbcfa9ab717e.png?resizew=234)
(1)用向量法证明E,F,G,H四点共面;
(2)设M是EG和FH的交点,求证:对空间任一点O,有
.
![](https://img.xkw.com/dksih/QBM/2021/12/30/2883785260703744/2885873556455424/STEM/1c8f5b2d-aaa7-494e-86b5-cbcfa9ab717e.png?resizew=234)
(1)用向量法证明E,F,G,H四点共面;
(2)设M是EG和FH的交点,求证:对空间任一点O,有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec1696ba7e9fc3f3b9837032c87f7fc8.png)
您最近一年使用:0次
3 . 已知空间中三点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b689f1ca95aa564df552377f287d7cb7.png)
(1)求
的面积;
(2)若点
在
三点确定的平面内,求x的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b689f1ca95aa564df552377f287d7cb7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad9952d46931a57a0afdfce610425244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
您最近一年使用:0次
2021-10-14更新
|
249次组卷
|
3卷引用:福建省2021-2022学年高二10月联考数学试题