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1 . 在空间四边形
中下列表达式化简结果与
相等的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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4卷引用:湖南省怀化市湖天中学2022-2023学年高二上学期9月月考数学试题
2 . 三棱锥
中,
,点
是
的重心,则
等于( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/cf943c12-28d2-455b-8162-2c2b8881340c.png?resizew=160)
![](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/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c4b9dda541ca792577227f3014ddc6a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/cf943c12-28d2-455b-8162-2c2b8881340c.png?resizew=160)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
3 . .如图,在平行六面体
中,
( )
![](https://img.xkw.com/dksih/QBM/2022/11/17/3111438245797888/3112363663319040/STEM/9e252ead278c44d0bbd9dbae309e3fef.png?resizew=204)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927e7c3f6f122d69fdb14341650aeb36.png)
![](https://img.xkw.com/dksih/QBM/2022/11/17/3111438245797888/3112363663319040/STEM/9e252ead278c44d0bbd9dbae309e3fef.png?resizew=204)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 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/6e42b7a7d1ed4cec841dc0ea72f6b09b.png)
A.1 | B.![]() | C.![]() | D.2 |
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4卷引用:湖南省长沙市长郡中学2022-2023学年高二上学期期中数学试题
湖南省长沙市长郡中学2022-2023学年高二上学期期中数学试题(已下线)湖南省邵阳市邵东创新实验学校2023-2024学年高二上学期期中数学试题广东省深圳市宝安区2022-2023学年高二上学期期末数学试题广东省肇庆市第一中学2023-2024学年高二上学期期中数学试题
5 . 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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(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
6 . 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
7 . 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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8 . 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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(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
9 . 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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10 . 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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