名校
解题方法
1 . 如图,在平行六面体
中,底面是边长为1的正方形,若
,且
,则
的长为( )
![](https://img.xkw.com/dksih/QBM/2022/4/22/2963697155555328/2966674488393728/STEM/e0486496-01e3-4ff9-96f4-b3680400d060.png?resizew=236)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ecbca919bff5a39a99dd7f867dd61f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92535536bd3c2761724fd058427f95a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://img.xkw.com/dksih/QBM/2022/4/22/2963697155555328/2966674488393728/STEM/e0486496-01e3-4ff9-96f4-b3680400d060.png?resizew=236)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-04-26更新
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3000次组卷
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13卷引用:湖南省长沙市雅礼教育集团2021-2022学年高一下学期期末数学试题
湖南省长沙市雅礼教育集团2021-2022学年高一下学期期末数学试题江苏省常州市金坛区2021-2022学年高二下学期期中数学试题(已下线)第一章 空间向量与立体几何综合测试-2022年暑假高一升高二数学衔接知识自学讲义(人教A版2019)(已下线)第05讲 空间向量基本定理-2022年暑假高一升高二数学衔接知识自学讲义(人教A版2019)(已下线)突破1.2 空间向量基本定理(重难点突破)河北省石家庄市十五中2022-2023学年高二上学期第一次月考数学试题河南省郑州市第一〇六高级中学2022-2023学年高二上学期9月月考数学试题(已下线)期中测试卷(基础篇)(范围:第一章+第二章椭圆)-2022-2023学年高二数学上学期同步知识梳理+考点精讲精练(人教B版2019选择性必修第一册)广东省江门市棠下中学2022-2023学年高二上学期10月月考数学试题黑龙江省牡丹江市第一高级中学2022-2023学年高一下学期期末考试数学试题(已下线)1.2 空间向量基本定理(重难点突破)-【冲刺满分】2023-2024学年高二数学重难点突破+分层训练同步精讲练(人教A版2019选择性必修第一册)河南省濮阳市第一高级中学2023-2024学年高二上学期9月月考数学试题(已下线)专题01 空间向量与立体几何(1)
2 . 如图,在正方体
中,点E是AB与OD的交点,M是
与CE的交点,试分别用向量
,
,
表示向量
和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3176607b2e55f85e7ede319cbb5d9995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e142e0f0e25dc2ad81ec1a7ec6ed866b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60dcb171bb7fd972aab8294d63acdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f68628a408537b1cf3bf1ca2a69731b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d20ec3efaa6b6ff5769e8999df5714a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a0fef5cb67dbb5705104c36cbe510ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b6799b234237333b0efa331d98f0374.png)
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21-22高二·湖南·课后作业
3 . 如图,在空间四边形OABC中,
,
,
,点M在棱OA上,且
,N为BC中点.以
,
,
为基,求
在这组基下的坐标.
![](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://staticzujuan.xkw.com/quesimg/Upload/formula/ebe72d1b634f1e89d8699e605e7d46af.png)
![](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/4dd4b9ad667f6da79bc3a5737cbc1eee.png)
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4 . 如图,在正方体
中,M,N分别为棱AD,
的中点,设
,
,
,试分别用
,
,
表示
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b536ac375a0b74e9c7efbc585f987f72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c4abd10ab43ce90743bd0f79b1f5bfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dc6f461f4715a6c25e8df41ab35a565.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a92e6eba8dab638fd66831cd3a0b6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427fa45527d0ce469bfd060bf6f991f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/524594bf0942ed86f56fc1eee120a81a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9146c5f1be07949fe8278022f4a9a65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb93bee3008094ff1faf0dc99eba9318.png)
![](https://img.xkw.com/dksih/QBM/2022/2/22/2921810288803840/2929843917889536/STEM/32d45bb5-1cf1-4e07-96a6-64c145b2b983.png?resizew=205)
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2022-03-05更新
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525次组卷
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4卷引用:2.2 空间向量及其运算
(已下线)2.2 空间向量及其运算湖北省武昌首义学院附属高级中学2022-2023学年高二上学期9月月考数学试题(已下线)2.2 空间向量及其运算(同步练习)-【素养提升—课时练】2022-2023学年高二数学湘教版选择性必修第二册检测(提高篇)湘教版(2019)选择性必修第二册课本习题 习题2.2
5 . 如图所示,在平行六面体
中,设
,
,
,
,
,
分别是
的中点,试用
表示以下各向量:
![](https://img.xkw.com/dksih/QBM/2022/2/22/2921810288803840/2929843918045184/STEM/077c7738c03c462b88f981faaabf83ba.png?resizew=263)
(1)
;
(2)
;
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd4cf99a0d5833beacc3a0ee39d39458.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a65908e6ffc0b3a3d7e2e7eb8d5b641.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/946e38adb11ee28ab8e3b0caa7583ccb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084b600495e5b0ae0ce0c53ab84cac98.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6770f6eebfd3e5597140a734d5eb37ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7cad34fccd0fe584087604e863f352.png)
![](https://img.xkw.com/dksih/QBM/2022/2/22/2921810288803840/2929843918045184/STEM/077c7738c03c462b88f981faaabf83ba.png?resizew=263)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1395fa3420959a18d91b324adc622116.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663f549349bfe274e05d1d8365d714de.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/861c57bc1b818c096c4d7c02b0ca26b3.png)
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21-22高二·湖南·课后作业
6 . 如图,在空间四边形
中,
,
,
分别是
,
,
的中点,化简下列各式:
;
(2)
;
(3)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81d76e25c4401ec86083a284a0704aa1.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3854cbb7f175b28d8deefba89da167a.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f6c2bdc666e80b53226f2419b2f1003.png)
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7 . 如图,正方体
中,点E,F分别是上底面
和侧面
的中心,分别求满足下列各式的x,y,z的值.
;
(2)
;
(3)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c52091eb745de866044477641a7c55f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2ac838296bcfd29a78f6acd813adfc1.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08159e61e111db5b38acd83961caffce.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a2f8468a62f4e4222aa499e874e1b30.png)
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606次组卷
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7卷引用:2.2 空间向量及其运算
(已下线)2.2 空间向量及其运算(已下线)第05讲 空间向量及其应用 (高频考点—精讲)-1(已下线)6.1.1 空间向量的线性运算(练习)-2022-2023学年高二数学同步精品课堂(苏教版2019选择性必修第二册)(已下线)1.1.1空间向量及其线性运算(分层作业)(题型分类基础练+能力提升综合练)-【上好课】高二数学同步备课系列(人教A版2019选择性必修第一册)(已下线)高二上学期第一次月考十八大题型归纳(拔尖篇)(1)(已下线)高二上学期期中复习【第一章 空间向量与立体几何】十大题型归纳(拔尖篇)-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)湘教版(2019)选择性必修第二册课本习题 习题2.2
21-22高二·湖南·课后作业
8 . 在正方体
中,化简下列各式:
(1)
;
(2)
;
(3)
;
(4)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212fd2469cddc01a595732da549f81d6.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67f5ee14fb0d79db64a846b10ccaf4b3.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fef3cdf5b8bb4462e1445e79b25ccc67.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2947f0f29c99069a498f855b0f886262.png)
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21-22高二·湖南·课后作业
名校
9 . 在平行六面体ABCD-A′B′C′D′中,若
则x+y+z=________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f184aa80daa0d9385c2b41f1dfe1db37.png)
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