名校
1 . 已知向量
,
.
(1)若
,求
及
在
上投影的数量;
(2)若
,求
与
的夹角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81c5293dfdbd72411423003ec100c910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecc2d0fb8a6b049073027ccfe1dce109.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5758ff4a1c7ba1a6ec0566c627b55f22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc7d8b42c85013ba07ba18e5e46d8716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbfdaf6917dae9b2ca83be97c3631bba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
您最近一年使用:0次
解题方法
2 . 已知向量
,
,
,且
,
.
(1)求向量
、
;
(2)若
,
,求向量
,
的夹角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e041dbcd07a7e1ed1bf521229528101.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1261612ea79fc92aa6587a67f2f8bb04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/543a1647017e29cf3dfd48070fd0a645.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1afa49dbaa99a0d7a7a6d18b3fe42091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a36228810d0c2f6c6e53584c1ac176b.png)
(1)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67a2f284efe454f55fad323ef3d8b475.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9a770d34855164b0e3f291120e60fb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9d806f27eecf5aee1e75bf35acbcd4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/964c64c610af9274ab57b28edc2f3c45.png)
您最近一年使用:0次
解题方法
3 . 已知向量
,若
三点共线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80faa48a52cf2ac92e047910449bc38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65183d238c9bc2be73770717d890683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
您最近一年使用:0次
4 . 已知向量
.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
______ ;若
,则向量
与
的夹角为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/157a894088b095cb5c82691d4d64314d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91b958a367fa2f08b6202a5a6ebf5e9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f622a667018a0a1b7b9334909c136090.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29b4cf9cd1d12fd577dad52f462b2bad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
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7日内更新
|
268次组卷
|
2卷引用:广西重点高中2023-2024学年高一下学期5月阶段性联合调研考试数学试题
名校
5 . 设
,
且
的夹角为钝角,实数
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90f485e4afe50f7e85efc3dce207cd7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99204cc0147faef5556ac86e805ce74e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
名校
6 . 已知向量
,
,向量
满足
,且
.
(1)求
的坐标;
(2)若
与
的夹角为钝角,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f4dcf415977dea53f52a85b6b82136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f27481c3e3f0a647379ecd926e616ec2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da1c5bcaa260128e281a12f6ef6aacbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2afff6080f14570f2a54b79cdfdeee83.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2b0627ff70b02aa16b007dc41794dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
解题方法
7 . 已知向量
,
,若
,
的夹角为钝角,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/303e0f7b92a9fb0bca726e1de9d9df98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d830f1864615e29ce030b533bed3834.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
8 . 已知
,若
与
夹角为锐角,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/065f7b523efdd46d8a06dac287fb6ff5.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/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
9 . 在
中,内角A,B,C所对的边分别为
,
,
.向量
,若
,则角
的大小为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e46b92fab0a266ac5ef51cd6774c8519.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc9209ef1481215432dc798e9189d873.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
10 . 已知向量
.
(1)若
,求
的值.
(2)设
,向量
与
的夹角为
,求
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba5cd28f5401f9c5cee53caf5a14263a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91b958a367fa2f08b6202a5a6ebf5e9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a603069cf81f5ff7a40bc24e1be8be7.png)
![](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/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
7日内更新
|
568次组卷
|
2卷引用:山东省聊城第一中学等部分学校2023-2024学年高一下学期5月质量监测联合调考数学试题