名校
1 . 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)
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2023-10-10更新
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208次组卷
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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
2 . 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)
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2022-11-15更新
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396次组卷
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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
3 . 如图,已知平行六面体
中,底面ABCD是边长为1的正方形,
,设
.
![](https://img.xkw.com/dksih/QBM/2022/3/21/2941033912508416/2942487597817856/STEM/570b6328dd424f4393fdb896dd7050a2.png?resizew=208)
(1)求
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa6ac591b393021ef217c510def1de5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9376b1b88cc964e919688b7aee975a95.png)
![](https://img.xkw.com/dksih/QBM/2022/3/21/2941033912508416/2942487597817856/STEM/570b6328dd424f4393fdb896dd7050a2.png?resizew=208)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd540f04f6fcf540e6d45d0ed2cc201a.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/144dd644f6522d5a08515bf767ec2ead.png)
您最近一年使用:0次
2022-03-23更新
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754次组卷
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7卷引用:北京八一中学2021-2022学年高二9月月考数学试题
名校
4 . 如图,在空间四边形
中,
,点E为
的中点,设
,
,
.
![](https://img.xkw.com/dksih/QBM/2021/11/2/2842370273591296/2844580709285888/STEM/6c4d23c6-c9fb-4b21-baf2-544ab1794a28.png?resizew=242)
(1)试用向量
,
,
表示向量
;
(2)若
,
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd3ae3ea9d8354844aded187f4726543.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/732e8008564ec12576ac60e498b28067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e42eacb57037d08cf18946fe8e33bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ee2e0dc73bc0f68063d55843ee2263.png)
![](https://img.xkw.com/dksih/QBM/2021/11/2/2842370273591296/2844580709285888/STEM/6c4d23c6-c9fb-4b21-baf2-544ab1794a28.png?resizew=242)
(1)试用向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b52fad476f828f36de6eb8910497329.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969e25f8cf051584c6c79c4dd118451c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a99044cdedf9e67bffd16a7eeeadf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86872300e14331a44252686da1064170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7194f9b5b5f230796b6930dc8ac85fc8.png)
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2021-11-05更新
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3卷引用:北京市首都师范大学附属中学2021-2022学年高二上学期期中数学试题