已知
与
的夹角为
.
(1)求
的值;
(2)求
的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4c96b33d333c616828b532e3e50e6a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e47d98467f7d5d30542e521e31e3b5.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fb6118172f384a565afcdfd84e9cdb0.png)
更新时间:2023-03-25 10:59:25
|
相似题推荐
解答题-问答题
|
较易
(0.85)
【推荐1】如图,在三棱锥
中,
,
,点M,N分别是
,
的中点
![](https://img.xkw.com/dksih/QBM/2023/11/9/3364256452608000/3365058891350016/STEM/afdec2e1e11947f0800dd2abd17d9b4d.png?resizew=202)
(1)求
的值;
(2)求异面直线
,
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88a4b27eb78bec148028a07fe5bf0b56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/341e8dae00f6b2abc94199ccfd6cf180.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/2023/11/9/3364256452608000/3365058891350016/STEM/afdec2e1e11947f0800dd2abd17d9b4d.png?resizew=202)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26ae3468da652dbfb0a3fa1e6bbaab75.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
名校
【推荐2】已知向量
,
满足
,
,且
,
的夹角为
.
(1)若
,求实数
的值;
(2)求
与
的夹角的余弦值.
![](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/ce3f8682540cd84c62e6fa835cd02f42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16d81d266f24698696a81ed5e007680.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/be6a6301878fed2a01413020b27310a5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b3b2d03f9b0d5895ca0a63b6f9fb1cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cd8bbf47b69bbd7a6263b041290d11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bca35e52b8430246a1cf96e9e617cce.png)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
【推荐3】设
,
是夹角为
的两个单位向量,且
.
(1)求
和
;
(2)设
,求向量
,
的夹角
的大小.
![](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/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5e0c3d054939ae02fb12a31ef91293.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69caa678a8eaa05c03b9e2d113f272d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94d723baf90e91b4691a2dcdd8f2a53e.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2818e4e9520e8b1cc9c9b59a7819e7a.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/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
解题方法
【推荐1】如图,设
,
是平面内相交成
角的两条数轴,
,
分别是
轴与
轴正方向同向的单位向量,若向量
,则把有序数对
叫做向量在斜坐标系
中的坐标,记为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4224bf1cbcd51f4cbdce93d981d65c5a.png)
(1)在斜坐标系
中的坐标,已知
,求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188388083731590d2f1b34d637420f40.png)
(2)在斜坐标系
中的坐标,已知
,
,
求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b14069d21d32c724f0ebe3e311f114c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5253a9a71037d60059b60237824193b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d9aa1d34d66a6876aa0566c8fc8b0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4224bf1cbcd51f4cbdce93d981d65c5a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/4/dd912bcb-a87e-4440-b15c-aa66ad7db61c.png?resizew=150)
(1)在斜坐标系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10f9ec013b336f7a68b1b168c39ffb2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188388083731590d2f1b34d637420f40.png)
(2)在斜坐标系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6fdf64ba3acbea2990924a92c54c30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcc5bc9f068a10a7cf1d9b24330337a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1060c0179e1dfb715453a0071d32b41f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c97791de6a16d7db9ccf78c7dfea89e4.png)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
【推荐2】已知
,
,
与
的夹角为
.
(1)求
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6316d995f00623f05fc3d56a6cbe5f00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34fa8ea29001bb1f0c1e5157aff2fca5.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/ac1a63ab608517bb10aa036783dfb51f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c39d1d88189726ae99c309644fca3494.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/684c16e648e1b76fc54ef176f82bf7fc.png)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
名校
【推荐1】已知向量
与
的夹角为
,且
,
.
(1)计算:
;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231b861d6d1f1d0b9f52b041cb40eb62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf0b40ab957abd03f1db03ddf71242fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/459b84065e210c3ba8181a0c23255b79.png)
(1)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b4442b5d27518f76cb9b487650035c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d9c5e5972ea47681866dc17b1c101be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
解答题-问答题
|
较易
(0.85)
名校
解题方法
【推荐2】在边长为1的等边三角形ABC中,D为线段BC上的动点,
且交AB于点E.
且交AC于点F,
(1)求
的值
(2)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c38dfd14dde969702dff97ef2270f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/100b3e7dcd5f34c5234971cd75bff138.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fad76e20eec2159d47b4e7fcf2386ac.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66dad6cc51b6b85f053e27bcc9c21e4d.png)
您最近一年使用:0次