名校
1 . 已知空间向量
,
,
满足
,
,
且
,则
与
的夹角大小为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ae0d7b3266f32b6a916b6237b6b838.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b113dc271cf51b3018bd1de14edf73ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4c1ade3d1b86f4b63be567c25338ef8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0150d9c357f2f8f8deecacd3ef0545cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
A.30° | B.60° | C.120° | D.150° |
您最近一年使用:0次
2023-11-29更新
|
692次组卷
|
7卷引用:北京市丰台区怡海中学2023-2024学年高二上学期12月月考数学试题
北京市丰台区怡海中学2023-2024学年高二上学期12月月考数学试题山东省烟台市部分学校联考2023-2024学年高二上学期学业水平诊断数学试题(已下线)模块三 专题3 小题满分挑战练(3) 期末终极研习室(高二人教A版)(已下线)专题11 空间向量及其运算10种常见考法归类(3)山西省朔州市怀仁市第一中学校2023-2024学年高二上学期1月期末数学试题(已下线)6.1 空间向量及其运算(1)(已下线)专题01 空间向量表示及运算--高二期末考点大串讲(苏教版2019选择性必修第二册)
名校
2 . 如图,四棱锥
的底面是平行四边形,若
,
,
,
是
的中点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79cbea5ead335c45b6c2974e718f30c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0051869b7765cc6c26fee0ff9ed8547a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0250e05b5e6c038633c8ab1f1eb1dfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9769839f35c2b7002b9f5e62f40b34de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-11-19更新
|
372次组卷
|
4卷引用:北京市顺义区第九中学2023-2024学年高二上学期期中考试数学试卷
名校
解题方法
3 . 如图,在平行六面体
中,
,
,则直线
与直线
所成角的余弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cead0e8eadfdcefa334953e88864f424.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23da2172e63c897e197b1f5bfbf5ef9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/4/53bea25e-df44-488b-a230-545d615b498e.png?resizew=183)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-10-17更新
|
534次组卷
|
2卷引用:北京市顺义牛栏山第一中学2023-2024学年高二上学期10月月考数学试题
名校
4 . 如图,在平行六面体.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b125fafb16819e103d49b1374932abe4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8689281b26bb0323c4f8055cd672d38.png)
,设向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4558eb885fab4c2047ac078135fae315.png)
(1)用
表示向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbd7bd26cc18343c5c3fdf84333c480e.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b125fafb16819e103d49b1374932abe4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8689281b26bb0323c4f8055cd672d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4d13ecb54b1006051d2561327aa4755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4558eb885fab4c2047ac078135fae315.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/28/96cc5637-7f35-4cd2-8f9c-c528b9471819.png?resizew=169)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3352ef5f607b600467e786b4e0654e32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbd7bd26cc18343c5c3fdf84333c480e.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6442fa9c249ccfdc412347a6b772b218.png)
您最近一年使用:0次
2023-10-10更新
|
208次组卷
|
2卷引用:北京市顺义区第一中学2023-2024学年高二上学期10月考试数学试题
名校
5 . 如图,在四面体
中,
是
的中点,设
,
,
,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/20/06604665-4735-4cd9-b88e-911c42e7d3da.png?resizew=139)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14390e9b6b44472bdc7a131133ab39b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87cd14dfc0024459f9d8e594c95c5106.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e07dcf0b16163e0e0e0c0f248466ee7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8230c008759598844822bf52562e08e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/20/06604665-4735-4cd9-b88e-911c42e7d3da.png?resizew=139)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-11-15更新
|
1854次组卷
|
14卷引用:北京市朝阳区2022-2023学年高二上学期数学期末试题
北京市朝阳区2022-2023学年高二上学期数学期末试题北京市延庆区第二中学2023-2024学年高二上学期10月质量监测数学试题辽宁省县级重点高中联合体2022-2023学年高二上学期期中考试数学试题辽宁省抚顺市六校协作体2022-2023学年高二上学期期中考试数学试题江苏省苏州市2022-2023学年高二上学期期末模拟数学试题江苏省南京市第一中学实验学校2022-2023学年高二下学期期中数学试题河北省石家庄市十五中2022-2023学年高二下学期第一次月考数学试题福建省莆田华侨中学2022-2023学年高二下学期期中考试数学试题(已下线)模块三 专题3 小题满分挑战练(1)(苏教版高二)安徽省定远中学2022-2023学年高二下学期7月教学质量检测数学试卷江西省南昌市八一中学2022-2023学年高二上学期期末数学试题河南省驻马店市开发区高级中学2023-2024学年高二上学期第二次质量检测数学试题广东省揭阳市普宁市2023-2024学年高二上学期期末数学试题(已下线)专题01空间向量及其运算(4个知识点8种题型3个易错点)(3)
名校
6 . 在平行六面体
中,四边形
为正方形,且
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/20/d6a1ed23-7c05-4e3b-b0ff-72db6b87cabd.png?resizew=156)
(1)求
的值;
(2)求线段
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0424446817f60c18f8e4e3cc202ad99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51d0fdc5a00ca0e857b89a7e1420df29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d702c57d1ff15540e500eb8d20c1cf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/20/d6a1ed23-7c05-4e3b-b0ff-72db6b87cabd.png?resizew=156)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d88168dbd75d77224a681eba8127cae3.png)
(2)求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
您最近一年使用:0次
2022-11-15更新
|
396次组卷
|
2卷引用:北京市丰台区第十二中学2022-2023学年高二上学期期中数学试题
名校
解题方法
7 . 已知在四面体
中,
分别是
的中点,设
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c46c696ff5f123a482bae81cf9a1b570.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ba495e8f9fe02229a4248fdbfb4710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232311b4261c36b659555a07bfa00f7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8926ddd0b69d714c7310cc5bf23d199d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2022-11-07更新
|
1003次组卷
|
10卷引用:北京市首都师范大学附属中学昌平学校2022-2023学年高二上学期期中考试数学试题
北京市首都师范大学附属中学昌平学校2022-2023学年高二上学期期中考试数学试题北京市首都师范大学附属中学2022-2023学年高二上学期期中考试数学试题浙江大学附属中学丁兰校区2021-2022学年高二上学期期末数学试题山东省东营市广饶县第一中学2022-2023学年高二上学期10月月考数学试题辽宁省实验中学东戴河分校2022-2023学年高二10月月考数学试题广东第二师范学院番禺附属中学2022-2023学年高二上学期10月月考数学试题辽宁省大连市第二十四中学2022-2023学年高二上学期期中数学试题辽宁省大连市第三十六中学2022-2023学年高二上学期期中数学试题辽宁省大连市第十五中学2022-2023学年高二上学期期中数学试题福建省福州市六校2023-2024学年高二上学期期末联考数学试题
8 . 如图,在四面体
中,
在线段
上,满足
,
是
的中点,
是线段
上一点,且
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee477d164d38ff067fc4ce342cf6d380.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6569c61bfa235b6a13a80cc4dbf4706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d282bed05385950b8ee4490d63ddf3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/575b333564f961a40af86ef086416f8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee477d164d38ff067fc4ce342cf6d380.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/28/ae2cf5e3-3588-4342-adee-7482aff02620.png?resizew=195)
您最近一年使用:0次
2023-01-08更新
|
392次组卷
|
3卷引用:北京市日坛中学2023-2024学年高二上学期期中考试数学试题
9 . 在棱长为1的正方体
中,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/203581b35ec30be1bba6d9a45a63180b.png)
A.![]() | B.0 | C.1 | D.2 |
您最近一年使用:0次
2022-10-30更新
|
282次组卷
|
2卷引用:北京市丰台区第十二中学2021-2022学年高二上学期期中数学试题
10 . 如图,在平行六面体
中,
为
和
的交点,若
,
,
,则下列式子中与
相等的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/30/fc069ecc-634a-4566-af30-ca80b75aa382.png?resizew=160)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac265febbf99dccf51aa0a2253e61f1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a44a918c7cfd942d3a53e584c26685a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f4aa55c2b5bd71b449222baf6effad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70d0a06657c9601c6c4cfa1b5ae29ba9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/30/fc069ecc-634a-4566-af30-ca80b75aa382.png?resizew=160)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-04-27更新
|
417次组卷
|
2卷引用:北京市朝阳区北京工业大学附属中学2023-2024学年高二上学期10月月考数学试题