1 . 已知向量
.
(1)若
,求
的值;
(2)若
,求
与
的夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21d717de3e39fd1f5fc468f00cdea54c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d76ee2e81f447f84a3e0b39c0388ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e273de83d7f518df456d6f6f568ad4e4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ceb28e047462eb186195114550c466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
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解题方法
2 . 已知点
为
所在平面内一点,
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0128d6bdc9d41398b2837aac0af7fe6.png)
A.![]() | B.直线AO必过BC边的中点 |
C.若![]() | D.若![]() ![]() |
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3 . 如图,正方形ABCD中,
是AB的中点,
是BC边上靠近点
的三等分点,AF与DE交于点
.
,求
的值;
(2)求
的余弦值;
(3)求
和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de662ae748797205d2178d9dadb38aab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ea8be9535f942121f6f6d873d03272.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c6c70335a3426790cc478d3c9604e9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9033ba2d0a74bc1f553b0bdefb2967d.png)
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4 . 已知向量
,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12e42e9dfb7679dc6f401c5c9acb8d82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f00acc3d2807504ff5e5ee7b026f85c4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 已知平面向量
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89ab9e9fb391aac839810c32567cd031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5072e817a6b9a062730d22af64a8314c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
A.-3 | B.-1 | C.1 | D.3 |
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6 . 已知
,
不共线,向量
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0411792b587ddd3e04440392f011c224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95d660852c5226ff65a21cfb36b8b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9736ad6d259170e119814b347dc3cccb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55ec5a39aba2e618154dd39a58014d2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f7d08d10754ff3903d139768f40530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
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7 . 已知向量
,设
.
(1)化简函数
的解析式并求其最小正周期;
(2)当
时,求函数
的最大值及最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e076f2f8143b8085b7777300a6ee4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80a0496e51476bf3e759d57ff68f4326.png)
(1)化简函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aedca829ec42c3f170b7272e2154681.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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8 . 设非零向量
,
,
满足
,
,则向量
,
间的夹角为_______ .
![](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/a39d82f287fcb7cba6f0d9762776292e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/162f3b902695ac0a79e0b9ca28ff09dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
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解题方法
9 .
,
为非零向量,且
,则( )
![](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/b5b03b774e7637cc3998415083169b02.png)
A.![]() | B.![]() ![]() |
C.![]() ![]() ![]() | D.![]() ![]() |
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10 . 如图,在
中,
为线段
的中点,
为线段
的中点,
为线段
上的动点,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/981ee96eca0d230318da11500f543b17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77b3711f25110e285421e2b3a16bc96d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.![]() |
D.![]() ![]() |
您最近一年使用:0次
2024-04-12更新
|
522次组卷
|
6卷引用:陕西省西安市长安区第三中学2023-2024学年高一下学期质量检测数学试卷