名校
解题方法
1 . 设
,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9745f117d6195d82a7093a8b7ac5726.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d18d5cc420cc3e8a0cc612db4d9b9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eb6355c7ddd1c545ccf474bb551f095.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
您最近一年使用:0次
名校
解题方法
2 . 直线
的方向向量为
,且
过点
,则点
到
的距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb48e69bb5f2a423e59115b8b34378e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6dcd362a44588747e88b206e7c5ca4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e64fd5823f70ff23c7be7f4b8a1eb8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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3 . 已知
、
、
,则向量
在
上的投影向量的模是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879d3f360a44c1490523d4bd285a3a29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4511343c7a7c0d6bdf6a4d68f58a8c9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8aab839aece09fe69811df09e85e7cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5f1b06a56fc382feed28e01f1ad102.png)
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名校
解题方法
4 . 在四棱柱
中,四边形
为平行四边形,若
,
,
均为单位向量,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/293e306e9ad08bd8f00562fd0d9975a7.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304a7f07db2ec637baadf8f0ab91c85c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d507cbc45fbda1630807543d4e038bfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e6dadd08e418d154940177e9a474fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/293e306e9ad08bd8f00562fd0d9975a7.png)
您最近一年使用:0次
名校
5 . 在空间直角坐标系中,点
关于
平面对称的点的坐标是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/664dcd44b22ab2dbf7d22f67e6c1e4d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d96461d2b3421aed548b754637ca8a.png)
您最近一年使用:0次
2024-02-12更新
|
404次组卷
|
3卷引用:河南省郑州市2023-2024学年高二上学期1月期末考试数学试题
名校
解题方法
6 . 已知
是平面
的法向量,点
在平面
内,则点
到平面
的距离为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd2eb8de0f9661887083bc0b8ac6b51a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7b8051dca2924e1f08e77f6ab2e2629.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19a86cb40518ab31b2373ba69a7c13de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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2024-02-11更新
|
1239次组卷
|
4卷引用:安徽省六安第二中学2023-2024学年高二上学期期末统考数学试卷
名校
7 . 在空间直角坐标系中,点P坐标可记为
:定义柱面坐标系,在柱面坐标系中,点P坐标可记为
.如图所示,空间直角坐标
与柱面坐标
之间的变换公式为:
,
,
.则在柱面坐标系中,点
与点
两点距离的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d594e1827f2d6d03295009b1ed75b3d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9913222c15a1a347b1a02f76ed54a782.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d594e1827f2d6d03295009b1ed75b3d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9913222c15a1a347b1a02f76ed54a782.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2640f8df813aa4916984fb30e90a9a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41995465f408e58668525745373aa7c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2abb31a34f7c99d6891453dd1d6e6ffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c34ace65d315585e942d7194fc08582.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d57e7a83bdad98eb39cadf3362abc0a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/6/93eda1ce-cbf2-4ae0-96ce-06455567531a.png?resizew=138)
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解题方法
8 . 在空间直角坐标系
中,向量
,分别为异面直线
的方向向量,若
所成角的余弦值为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e336d6ca2cae3d6e6c3810d7e521a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f045389aaa52422164a5782a00c68a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d83fb9ac8a18e78a4c56da79514b5ccb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
您最近一年使用:0次
2024-02-05更新
|
153次组卷
|
3卷引用:河南省部分名校2023-2024学年高二上学期1月期末考试数学试题
9 . 在空间直角坐标系
中,点
在坐标平面
,
内的射影分别为点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c95c6fedd33a4a8b2d25c4a2bd8d077.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a834024400d0730af3e640ca4d5f54b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f080277b6254625016492df865916ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a9e1eb4c3226489d1344321b10b7de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65d4817aac2a4910300ebca91445eca9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c95c6fedd33a4a8b2d25c4a2bd8d077.png)
您最近一年使用:0次
2024-01-29更新
|
88次组卷
|
2卷引用:河南省开封市2023-2024学年高二上学期期末调研考试数学试卷
解题方法
10 . 如图,二面角
的棱上有两个点
,线段
与
分别在这个二面角的两个面内,并且都垂直于棱
,若
,则二面角
的余弦值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754bbd99327195520a4ca3ce3b9a0577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433c152d40b488ce9828f9179207e52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754bbd99327195520a4ca3ce3b9a0577.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/11/50768106-b502-4750-b690-f18cc6c8b576.png?resizew=162)
您最近一年使用:0次