1 . 如图,在平行六面体
中,
为
与
的交点.若
,则下列向量中与
相等的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfbc0b5a8fbde804bd8425a4b76d207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a5c30451a305529cbaeddcfaf55a4a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a046d7060dc843c78af806ee24f556.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2 . 有一长方形的纸片
,
的长度为
,
的长度为
,现沿它的一条对角线
把它折成直二面角,则折叠后
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/095ab4a92bf822e175d370e6d0c8a730.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976260cbf5e30856d4fd37a4b0a671a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c0098e82d41438224ce472054e5490.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 在三棱柱
中,
是
的中点,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e8bd24324d1a117e642beee2ee27545.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2da6f8b83986e9011727c96c3daf4307.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024高三·全国·专题练习
4 . 如图,在平行六面体ABCD-A1B1C1D1中,设AA1=a,=b,
=c,M,N,P分别是AA1,BC,C1D1的中点.试用a,b,c表示以下各向量:
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7239b3f2d88c2e45e17e5de9ae1a332.png)
(2)A1N;
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76782c6299c144c919de3213c60a7e5f.png)
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5 . 在三棱柱
中,
,
,且
平面
,则
的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d74b1d0480790400a9223e4437afdba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7dc14ef100b26679193fb93f3a8b5c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f214481e6b23307a37940f6dd0313d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4e7552a39c412d882766dbcd7eeb69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
6 . 在四面体
中,记
,
,
,若点M、N分别为棱OA、BC的中点,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/8926ddd0b69d714c7310cc5bf23d199d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-03-21更新
|
615次组卷
|
5卷引用:专题01 空间向量表示及运算--高二期末考点大串讲(苏教版2019选择性必修第二册)
(已下线)专题01 空间向量表示及运算--高二期末考点大串讲(苏教版2019选择性必修第二册)北京市北京师范大学附属中学平谷第一分校2023-2024学年高二下学期2月月考数学试题甘肃省白银市会宁县第四中学2023-2024学年高二下学期第一次月考数学试卷江苏省淮安市金湖中学,清江中学,涟水郑梁梅高级中学等2023-2024学年高二下学期4月期中数学试题江苏省宿迁地区2023-2024学年高二下学期期中调研测试数学试题
名校
7 . 已知平行六面体
,则下列四式中错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da8c338342e38c9aa3f274c053fd5b.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
2024-03-03更新
|
175次组卷
|
3卷引用:专题01 空间向量表示及运算--高二期末考点大串讲(苏教版2019选择性必修第二册)
(已下线)专题01 空间向量表示及运算--高二期末考点大串讲(苏教版2019选择性必修第二册)北京市第一六一中学2023-2024学年高二下学期开学测试数学试题江苏省南京人民中学、海安实验中学与句容三中2023-2024学年高二下学期3月月考数学试题
名校
8 . 如图,在平行六面体
中,
为
与
的交点,设
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e4846c21abad3f9b82c99104a2aafd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d8eb4a9f462ca0c1d49c3fe91e720d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dfb9769a14ebf5cbc5fa0c06ce96435.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
9 . 下列命题正确的个数是( )
①若
是空间任意四点,则有
;
②若向量
所在的直线为异面直线,则向量
一定不共面;
③若
共线,则
与
所在直线平行;
④对空间任意一点O与不共线的三点
,若
(其中
),则
四点共面
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e26118630b1ad0e3746c7ab1985830.png)
②若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
④对空间任意一点O与不共线的三点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a8d49bf33e578b25811e22e26dbf584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db8723316b610f1e42580d0916a4c58c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90a0889f0f80987c260cce05be4c84b0.png)
A.0 | B.1 | C.2 | D.3 |
您最近一年使用:0次
2024高二·全国·专题练习
解题方法
10 . 已知
,
,
,
,则向量
与
之间的夹角
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e099b79594e7c27cbe7a8aa8c7648c7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29276b43a2950ed71f0f9629a35dfa74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ff265969988f1f138700129e5d7a6d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce2b6b026e6d15efb0fbc575684f2c92.png)
![](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/f7be4359335d6e4f961bf1913d47b904.png)
A.![]() | B.![]() |
C.![]() | D.以上都不对 |
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