1 . 如图,在平行六面体
中,以顶点
为端点的三条棱长度都为1,且两两夹角为
,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/25/2565e8a7-a23d-402e-be73-ed2e1855eaa0.png?resizew=195)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ed1accd20f8ba39685d23783699ce.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/25/2565e8a7-a23d-402e-be73-ed2e1855eaa0.png?resizew=195)
A.![]() | B.1 | C.![]() | D.2 |
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2024-02-03更新
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3卷引用:云南省昆明市官渡区2023-2024学年高二上学期1月期末学业水平考试数学试题
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2 . 在四面体
中,点
在
上,且
为
的中点,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/227574a4ec830a726661a810f3790d16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9dda0dd9f20ab49de6bd5cf6297f9f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee477d164d38ff067fc4ce342cf6d380.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知四面体
中,
是
的中点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188bab5731f087bf6fbafbb9bac6324d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-01-25更新
|
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2卷引用:云南省昆明市官渡区2023-2024学年高二上学期1月期末学业水平考试数学试题
名校
4 . 如图所示,在四面体中,
,
,
,点
在
上,且
,
为
的中点,则
( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-12-28更新
|
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7卷引用:云南省文山州广南县第十中学校2023-2024学年高二上学期10月月考数学试题
云南省文山州广南县第十中学校2023-2024学年高二上学期10月月考数学试题江西省上饶市玉山县第二中学2023-2024学年高二上学期12月月考数学试题(已下线)专题01 空间向量及其应用常考题型归纳(2)山东省滨州市滨州实验中学2023-2024学年高二上学期期末模拟数学试题(已下线)专题12 空间向量的坐标表示8种常见考法归类-【寒假自学课】2024年高二数学寒假提升学与练(苏教版2019)新疆乌鲁木齐市第四中学2023-2024学年高二上学期(期末)阶段性诊断测试数学试题山东省菏泽市定陶区第一中学2023-2024学年高二上学期期末模拟数学试题
5 . 在三棱锥
中,M为OA的中点,点N在线段BC上,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4278c0911e7df78965e78cff69cac5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8344257545a87065ec1fa63029f9048c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.![]() | B.1 | C.![]() | D.![]() |
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2023-11-10更新
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4卷引用:云南省昆明市官渡区艺卓中学2023-2024学年高一上学期11月期中考试数学试题
6 . 如图,空间四边形
中,
,
,
,点
在线段
上,且
,点
为
中点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/420ad6159fc091d6a5ffddf0676d2662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c2e7e9fd8519fd1c293cc577408263.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a40f8ef7e3af00c41f85a20578afdb57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995a214b3339e4a542070e44541b3682.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/8926ddd0b69d714c7310cc5bf23d199d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
7 . 如图,空间四边形
中,
,点
为
中点,点
在侧棱
上,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddc5343d0ed7b449971c7ba787a621fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22d78bc6d40550027a38d2a0518e32fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8926ddd0b69d714c7310cc5bf23d199d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/18/56605350-7615-47cb-8def-b04a990a3641.png?resizew=166)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-10-17更新
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876次组卷
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名校
8 . 平行六面体
中,底面
是边长为2的正方形,侧棱
,且
,
为
中点,
为
中点,设
,
,
.
(1)用向量
,
,
表示向量
;
(2)求线段
的长度.
![](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/e55a2310cbba5e050488cd9296eb195d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e322f79e083e471b34950b9ffabffdc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e984585ddf28c039219afcebf229de7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8780f5b68f8907a57c1c2f96233a78c5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/24/cec02fe7-00c7-424e-8948-1821ca8e4349.png?resizew=146)
(1)用向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3722488cf68b05c22d3e6c0b4de6991.png)
(2)求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
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2023-10-08更新
|
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3卷引用:云南省曲靖市第一中学2023-2024学年高二上学期11月期中考试数学试题
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9 . 如图,在空间四边形
中,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/12/64d9f4e9-e285-49cf-a9ed-d376e6709f0f.png?resizew=162)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/434d858dfb9fbb566ec259268f8620c6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/12/64d9f4e9-e285-49cf-a9ed-d376e6709f0f.png?resizew=162)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-12-11更新
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4卷引用:云南省沧源佤族自治县民族中学2021~2022学年高二上学期期末考试数学试题
云南省沧源佤族自治县民族中学2021~2022学年高二上学期期末考试数学试题四川省泸州市泸县第五中学2023-2024学年高二上学期期末数学试题(已下线)专题11 空间向量及其运算10种常见考法归类(1)(已下线)6.1 空间向量及其运算(2)
10 . 如图,四棱柱:
的各个面都是平行四边形,设
,
,
,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/14/b0e05d88-7dd2-4867-bfc6-efe031dcd379.png?resizew=226)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e984585ddf28c039219afcebf229de7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8780f5b68f8907a57c1c2f96233a78c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d62fd7855b8b18dabf9e319057958b9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/14/b0e05d88-7dd2-4867-bfc6-efe031dcd379.png?resizew=226)
A.![]() | B.![]() | C.![]() | D.![]() |
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