1 . 若非零向量
,且设
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae109f6cae08b1b804d2174b94f6f01b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdc27e2827b1bf7c24985c4a5199c84c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
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解题方法
2 . 有下列说法,其中正确的说法为( )
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() ![]() |
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2024-06-11更新
|
371次组卷
|
2卷引用:福建省南安市蓝园高级中学2023-2024学年高一下学期期中考试数学试题
名校
解题方法
3 . 设
、
、
为非零向量,若
,则
的最大值与最小值的差为( )
![](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/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7328473182f501a7d331662c02f7ddb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9963fe377bb415d71d1fe599eee188ce.png)
A.0 | B.1 | C.2 | D.3 |
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4 . 点
在线段
上,且
,则下列选项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e597b2c477ab2068a60b5abe657e8af2.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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5 . 已知x、y是实数,向量
不共线,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b889d7253cc87a9a79e9da19604b209.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
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6 . 已知向量
是非零向量,则
方向上的单位向量为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
A.![]() | B.![]() | C.![]() | D.![]() ![]() ![]() |
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7 . 若非零向量
满足
,且
,则能使得
成立的一组
可以是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77c1267516e981efe5d79740977128da.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8af740e84814052ba6b234972eb5967.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e12e95f703ad30ab9a3d38376830989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b975cffd04083f2a7caef3205b104db5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/567b570148d4e77896b90b8413324f94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e6a9dcd6045ca163a8da9279114410c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28cc40f6ce54fe6b2881aea162713c47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77c1267516e981efe5d79740977128da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8af740e84814052ba6b234972eb5967.png)
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8 . 下面给出的关系式中,正确的个数是 ( )
①
;②
;③
;
④
;⑤
.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81827d77a61b6882a4f5a4c8beafd89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cb72256695bffefefffc1572fc08f45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/babc3b7c4afefa656f49b34566b98b92.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639805ba44f7e18b0c4792e7cda68792.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d759f7ce44466451a9d39e298dddab2.png)
A.0 | B.1 | C.2 | D.3 |
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9 . 与向量
共线的单位向量是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/016e4d15ab8f5359f6aa3b42674b0c13.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() |
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解题方法
10 . 向量
在正方形网格中的位置如图所示,则向量
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f24c9c0963445aeb63386957e178ca4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65de7c2f24ccd9a5a9b6c5920e981309.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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