名校
1 . 已知向量
,
,
,若
,
,
三个向量共面,则实数
,
的取值可能分别为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff2552596831bda67b915ec309bb5422.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e391f23e85c874d7a4f96b25a0064c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde2322cfb8816e27e8f3eb97224f0fb.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/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
A.![]() | B.2,2 | C.![]() | D.1,5 |
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名校
2 . 已知空间向量
,
,若
,则实数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5143c22699432c66143b1d70cafcb57a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aa83017d54612e65f5cb0833ce8fc01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1afa49dbaa99a0d7a7a6d18b3fe42091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
A.0 | B.2 | C.![]() | D.![]() |
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3 . 设
是实数,已知点
在同一直线上,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bbdb1b1de019ee67c9481c752bb02dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
A.10 | B.-10 | C.-15 | D.20 |
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名校
4 . 已知点
在同一直线上,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be8f90deffdc75a89c4c01f47fd22c78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
A.10 | B.![]() | C.6 | D.![]() |
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5 . 已知向量
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d33ee1f52775bf9ba66e0fdf0ecbb35.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1699dad16b626925ed2ebcbc4d3aa8a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4841a1dc5b149182a782a565d6c8a3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076559f08d17fb25e82886e791719e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d33ee1f52775bf9ba66e0fdf0ecbb35.png)
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2024高三·全国·专题练习
6 . 已知空间中三点A(2,0,-2),B(1,-1,-2),C(3,0,-4),设向量a=,b=
.
(1)若|c|=3,且c∥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89265cbe3abc6b966ce8967fead448b.png)
(2)已知向量ka+b与b互相垂直,求实数k的值;
(3)若点P(1,-1,m)在平面ABC内,求实数m的值.
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7 . 给出下列命题其中错误 命题的是( )
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.![]() ![]() ![]() ![]() |
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23-24高二上·上海·课后作业
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解题方法
8 . 设
是空间两个不共线的非零向量,已知
,
,
,且
三点共线,则实数k的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10814bc3db929e79874befe96cf4e3d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b35811bc17681bb510bb593e0b3c1fc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30cc1c39836201f8828368c921d5ba1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0927ccc6973d74ca7f343021d01a97f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65183d238c9bc2be73770717d890683.png)
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名校
9 . 已知
(a,
)是直线l的方向向量,
是平面
的法向量,如果
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dfc3b155435130b8c1d0e66484a4727.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8752ee706196b497099ddd8342ef3e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a3849dacb9cd91d905551d858ffdd5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c656aab9776eff87154d726241066459.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e380108ba2cf04e68a5a9393d2b921c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dfc3b155435130b8c1d0e66484a4727.png)
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10 . 已知空间向量
,
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d9483d8105a5b04c629ba89869f9f40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2076b3d12372e6f00420a47c476c1ab2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03481e6a73207be03fdbc1f8e9965b37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ee284488e3112e1b450a8be8af85319.png)
A.![]() | B.![]() | C.1 | D.17 |
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