名校
解题方法
1 . 已知向量
,
,且
是直角三角形,则k的值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3262085f33d92003774146c77167806e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cf04a35c2d12d39935dbaa581dc26e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.![]() ![]() | B.1或2 | C.![]() | D.![]() |
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名校
解题方法
2 . 已知向量
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61df6db5f13202396a800df639732c9b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e139e7cec9ef14acedae556ebcd9fc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0601da78869330b870d420dbebc674.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2558ead24d56fb372fef95c10fddd3fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61df6db5f13202396a800df639732c9b.png)
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名校
解题方法
3 . 在矩形
中,
,
,E为
的中点,F为
的中点,Q为边
上的动点(包括端点),则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25a183c9577e8730b7962f75fc3f6e0c.png)
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名校
4 . 已知向量
满足
,
.
(1)求
;
(2)求
;
(3)若向量
与向量
的方向相反,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5527000a4c6dcc800d03cf861b76dee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7ce713001c46fc8bcd29c8a10bce42b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/921ae612d315e03352c07815ac38588d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a64597c1c80ab1323c27acf1f9ca6243.png)
(3)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b18ff77d83bcc3d89a083e1841a3f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99d32253560ce2bb7d69eed00013a798.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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7日内更新
|
1137次组卷
|
7卷引用:2024年贵州省观山湖第一中学高一年级第二学期5月月考数学试题
解题方法
5 . 如图,已知向量
满足
与
的夹角为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5493e8acc0092f0f5c496be21eaf7f0b.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96241884231b3afa5f1241bb6634dc67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45f42e514ebcd40e71c659e56406ac26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5493e8acc0092f0f5c496be21eaf7f0b.png)
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名校
解题方法
6 . 已知
,存在
满足
.
(1)求向量
、
、
的坐标;
(2)求
与
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb43aa6d0d0e1f9102d76bcfefa6ac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa47f31314de956658ba592a17871d.png)
(1)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b0c233484ce028819ebd0c86b75a92b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e3921e92ab4a807bfb6e793240d879.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b0c233484ce028819ebd0c86b75a92b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e3921e92ab4a807bfb6e793240d879.png)
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名校
解题方法
7 . 如图,在平行四边形ABCD中,
,延长DE交AB于点
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12feaee966eebe887742652d60e66bc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/184359fe3cadc363cf4ebe586c2b3db4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c7ca5d157101217b53621d98af55521.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
8 . 一个扇形的弧长为
,面积为
,则此扇形的圆心角为________ .(用弧度制表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/997b5842f3d4eae1989debee9ae41b9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12e0166cef87d437ba03524bbdb61288.png)
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名校
解题方法
9 . 在等腰梯形
中,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
10 . 函数
的部分图像如图所示,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dac62303d8f51b1a098fc1af5faa9529.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3177c68bf1ed18f3fd9515c9e4430f44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dac62303d8f51b1a098fc1af5faa9529.png)
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