已知正方体
的中心为O.
①
与
是一对相反向量;
②
与
是一对相反向量;
③
与
是一对相反向量;
④
与
是一对相反向量.
上述结论中正确的有______ .(填写所有正确命题的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ac6235926a49a68cb813693ef3f892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fca51836220156ae65b4a87dda62ffa3.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d5250d75002fdb4e184110ad9eb6a0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0062a4a9c27d7b8234a94644c130c39.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a37d9b70d9808d8a3b931b45e4649c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/653e3f65fddcc42e4f300de2fb0a57bb.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68dd8c62a6751389bb330cd4c731ff16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61a43a77e176422a67c8a20bf353aae1.png)
上述结论中正确的有
21-22高二·湖南·课后作业 查看更多[3]
(已下线)2.2 空间向量及其运算湘教版(2019)选择性必修第二册课本习题 习题2.2(已下线)第3章 空间向量及其应用(知识归纳+题型突破)-2023-2024学年高二数学单元速记·巧练(沪教版2020选择性必修第一册)
更新时间:2022-03-05 20:05:37
|
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填空题-单空题
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较易
(0.85)
【推荐1】如图所示,在长方体
中,
,
,
,则在以八个顶点中的两个分别为起点和终点的向量中:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/23/5c1b11f7-6e32-46c4-8ff1-08e8a1cbee29.png?resizew=187)
(1)模为
的向量是______ ;
(2)
的相等向量是______ ;
(3)
的相反向量是______ ;
(4)
的共线向量(平行向量)为______ ;
(5)向量
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,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdca14aa56d23a0e3c0e97f82ad6593b.png)
______ (填“共面”或“不共面”).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad1a56baf43ffdf67bc8460856e31fec.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/23/5c1b11f7-6e32-46c4-8ff1-08e8a1cbee29.png?resizew=187)
(1)模为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7559d65befe0b85c8929f57c9436cd26.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d792a2aa25763e14cc2863be3887000.png)
(5)向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d36d57bad730d136bc41f9f51474ee4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0ba9613e4a298a3610d344a158b3441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdca14aa56d23a0e3c0e97f82ad6593b.png)
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【推荐2】给出下列命题:
①空间中任意两个单位向量必相等;
②若空间向量
满足
,则
;
③在向量的数量积运算中
;
④对于非零向量
,由
,则
,其中假命题的个数是______ .
①空间中任意两个单位向量必相等;
②若空间向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccba3b87a8a48ac3dd5f72d00bdb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c05f1d68b133c5d2f76a06186e0ffb08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58ce380bce6978d2acd0742bed4e98e6.png)
③在向量的数量积运算中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68189a7df7c294c48f1e01091c2ceada.png)
④对于非零向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c9e602f8855225688f3c5f4c6a10d37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58ce380bce6978d2acd0742bed4e98e6.png)
您最近一年使用:0次