如图,在边长为3的正方体
中,点P,Q,R分别在棱
,
,
上,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/15/bc681b56-358e-4697-a3fd-33b79671e301.png?resizew=172)
(1)求点D到平面
的距离;
(2)若平面
与线段
的交点为N,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/a21ca2cc5649952ceac291acc79174a3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/15/bc681b56-358e-4697-a3fd-33b79671e301.png?resizew=172)
(1)求点D到平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08361173b096d18b33210a955e109f42.png)
(2)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08361173b096d18b33210a955e109f42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbcf0a7364931c114c089568b848dc36.png)
21-22高二上·河北邢台·阶段练习 查看更多[3]
河北省邢台市2021-2022学年高二上学期第一次月考联考数学试题(已下线)第32讲 立体几何中的截面问题-2022年新高考数学二轮专题突破精练(已下线)第05讲 空间向量及其应用(十六大题型)(讲义)-2
更新时间:2021-10-25 13:56:49
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相似题推荐
解答题-问答题
|
适中
(0.65)
名校
【推荐1】已知空间中三点
,
,
,设
,
.
(1)若
,且
,求向量
;
(2)若点
在平面
上,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b5e428213f946350934bc876fba5514.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daca2df16b221585c93109fd17bc1b5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b92ecb2412db3b9143c500555c2a0ceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d458bed4c0f3e91667eb8705c9c90d99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/415c6484536cc61efd5529fcb0b15eb9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a1fa7538549bf04c02a09ead1745ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78aefee3211ca8d99b9af016e87617ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f504623fad7409aa53c842ec25461da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
解题方法
【推荐2】如图所示,已知斜三棱柱
,点
分别在
和
上,且满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bdf4646682d51d21ed781e862e88d71.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6acecc6a2202e460317545529f4c5e6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24032f236133d2f75ca85187c7c4bcc9.png)
.
![](https://img.xkw.com/dksih/QBM/2020/11/15/2593701117419520/2594144984571904/STEM/dc67885add814542ba00946a28e66b80.png?resizew=130)
(1)向量
是否与向量
共面?
(2)直线
是否与平面
平行?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a72935e227f601eae1c9558d7aeddbb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bdf4646682d51d21ed781e862e88d71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a947bc95871178658068158b27728313.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6acecc6a2202e460317545529f4c5e6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24032f236133d2f75ca85187c7c4bcc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5e657791099ba59a10f9be109d588b4.png)
![](https://img.xkw.com/dksih/QBM/2020/11/15/2593701117419520/2594144984571904/STEM/dc67885add814542ba00946a28e66b80.png?resizew=130)
(1)向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc77f6f4e0bf9f7cf90b84d071210bd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ddc1f603b4a0c54482c711e108469f4.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
您最近一年使用:0次
【推荐1】如图,在四棱锥
中,底面
是边长为1的正方形,
平面
,
为棱
的中点.
平面
;
(2)再从条件①、条件②、条件③中选择一个作为已知,
求:直线
与平面
所成角的正弦值,以及点
到平面
的距离.
条件①:
;
条件②:
平面
;
条件③:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30067b7b236d17af8a462f96a58d11bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aebaf06bb1c96aecf49603c6a6bfcea.png)
(2)再从条件①、条件②、条件③中选择一个作为已知,
求:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aebaf06bb1c96aecf49603c6a6bfcea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aebaf06bb1c96aecf49603c6a6bfcea.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760d5434e6c8bf40ea411cb2009fd752.png)
条件②:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14ddcfd8985d6ef923063a301e2bc5ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
条件③:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/990f9aca5b10d4850f0631288a9b1a97.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
名校
解题方法
【推荐2】如图,在四棱柱
中,侧棱
底面
,
,且点
和
分别为
和
的中点.
(1)求证:
∥平面
;
(2)求点
到平面
的距离;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5845ccc0d735dc14c92a8926d9b1def6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91dc6873f456b6c78afec19df6c8425a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db8bdb6ad5ea0e53d4d641c58b301352.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/7/8a0fb3c2-ae2e-4a07-9939-ca3ac2a7f0c8.png?resizew=159)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fefd8229243bcbee5ac197740e6c66ab.png)
您最近一年使用:0次