1 . 判断正误(正确的打正确,错误的打错误)
(1)若空间向量
,则点B的坐标为
.( )
(2)若空间向量
共线,则
.( )
(3)空间向量
是一个单位向量.( )
(4)若
为空间向量,则
.( )
(1)若空间向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b0770a32e689aabf57ecb7c8490ad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aa7abe36a6aa866ac4d4e0ca83653cd.png)
(2)若空间向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c48d01aa09fe46fdcb58b96f9c316e77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5fb583d92c1e2d705075f0f7d5b34d5.png)
(3)空间向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a805f4d3f96259b88da720f73f211e74.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29e37895ce0297230050c7c3ecb48c2.png)
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2 . 思维辨析(对的写正确,错的写错误)
(1)在空间直角坐标系中,向量
的坐标与终点
的坐标相同.( )
(2)若
,
,则
是钝角
..( )
(3)若
,
,
.( )
(4)把向量
平移后其坐标不变.( )
(1)在空间直角坐标系中,向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e31a92e25afc9bd17d52cd24d66f647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9d2516862a73940c324d1bfdc72377e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eaf5dcdb83f75f8b6d005f334276681.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97e2e6326ee43f689c8276db39c394fb.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e31a92e25afc9bd17d52cd24d66f647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9d2516862a73940c324d1bfdc72377e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8dfd21ff3310118fd1998d8f2571ea0.png)
(4)把向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e50f643a2ea8ac34b1f068b8b7d68774.png)
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21-22高二·全国·课后作业
3 . 判断正误:
(1)向量
在向量
方向上的投影数量等于向量
在向量
方向上的投影数量;( )
(2)和向量
在向量
方向上的投影数量等于
,
在向量
方向上的投影数量之和.( )
(1)向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
(2)和向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af89864f1c909eef31ebbe3178c048a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
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2022-03-05更新
|
121次组卷
|
3卷引用:2.2 空间向量的运算
4 . 若
,则
或![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ecfaf651f46c6915a3f463d67ec0e5c.png)
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d3040f7af309b4d9d4bca7ef97f804.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58ce380bce6978d2acd0742bed4e98e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ecfaf651f46c6915a3f463d67ec0e5c.png)
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5 . 若
,则
或![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32112e7ad1091ae2da4009eec3610e49.png)
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7677fa4ecba4dd4005f5a1b52cf86b82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57a47c35195783f2eba8c6fd6649594.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32112e7ad1091ae2da4009eec3610e49.png)
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6 . 向量
与
的夹角等于向量
与
的夹角( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ed9c2e9fabbfc63733bae8fa079d00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fdc83becc28e0f43d71427d9e8775d4.png)
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7 . 对于非零向量
,由
,可得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ec6df8a1e8ccc7a0dc182efa0a53cdb.png)
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dfd95b2e1d2c7f2a85fffe24f62686d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ec6df8a1e8ccc7a0dc182efa0a53cdb.png)
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8 . 对于向量
,
,
,有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689a5623593592bcdee96e8690c2beb2.png)
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689a5623593592bcdee96e8690c2beb2.png)
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9 . 若非零向量
,
为共线且同向的向量,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc3332bb03744ac90533894612d3cd33.png)
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc3332bb03744ac90533894612d3cd33.png)
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10 . 对任意向量
,
,满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8816c411e16de160b34eff77a235ccb.png)
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8816c411e16de160b34eff77a235ccb.png)
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