已知向量
,且
.
(1)求向量
,
的夹角;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6ab20a216b7d4e6c840a09df2a64564.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e61da7608d9ed471ce7521a0da59de49.png)
(1)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c437edd4d400b1fc590f01652621273d.png)
22-23高一下·广西柳州·期中 查看更多[4]
广西柳州地区民族高级中学2022-2023学年高一下学期期中考试数学试题(已下线)第01讲 平面向量专题期末高频考点题型秒杀(已下线)第3讲 平面向量(2) -《考点·题型·密卷》广西来宾市忻城县高级中学2023-2024学年高一下学期期中考试数学试卷
更新时间:2023-05-19 19:08:48
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适中
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【推荐1】在
中, 角
的对边分别为
,
,
=
,
, 点D在BC边上运动.
(1)若 D为BC边的中点, 求AD.
(2)若 AD为
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(1)若 D为BC边的中点, 求AD.
(2)若 AD为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
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适中
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【推荐2】如图所示,在
中,
,
,
,
.
(1)用
表示
;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b22c64cfb042014a6b538ab1a0276d14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1371fe98a65d8ebd840c8d98346b6d15.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b13f592c9eac3bee2497c2e5f2dd6cd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/30/50c7b020-81b1-4713-842b-3ab29b71ea19.png?resizew=159)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0be656083580a03c6481fb75881b84f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa8c53645db602c72b00b599c2c0ff97.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5a8d419738d657c20fa8d1ba91c053.png)
您最近一年使用:0次
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适中
(0.65)
【推荐1】已知
,
,
.
(1)求
;
(2)求向量
与
的夹角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fc7a342293983cc4865498c121493d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0030e7be6d3f4ff2a7982d507e859b1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf26dc4c8ad920dd1f067f174c63e992.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7efc342fe2e7c9e0ce7a836e512ef389.png)
(2)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed492f7b29166ba5c1f0023b05a439c5.png)
您最近一年使用:0次
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适中
(0.65)
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【推荐2】已知在
中,
,
,且
.
(1)求
的值;
(2)求
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cb21ae875f36d52d0b6f82b0201d0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d2c413253fe5bc1f9287a35e6fc45eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2cb4e879bf1d2485140e7133d598092.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1311f32edf13f8caee5edb03f24a7ba.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
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解题方法
【推荐1】如图,在四边形
中,
,
,
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/361dcaa0e3bf6f846eacbb92a282d793.png)
表示
;
(2)点
在线段
上,且
,求
与
的夹角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab158dd9e96abcae0f115f54fa66c5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf5db8439f9d0b37ef79859efddb2606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cf0036a4a1fa161097c103a20d5b159.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60f2a540864c8a8634517b615f081a4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/361dcaa0e3bf6f846eacbb92a282d793.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1625e24072a8fe6c277ecfca2c62cdaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d792a2aa25763e14cc2863be3887000.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f3b5b8fd0af445c8c5ca8d6363f4d4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d792a2aa25763e14cc2863be3887000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07630df371b864a38c31c7a892afc17c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
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适中
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解题方法
【推荐2】已知向量
,
满足
,
,求:
(1)
;
(2)向量
与
的夹角的余弦值.
![](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/d794bd359d217bbb529b2958dae72b46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec40ad7422ad5ca80f13c814b331c9f8.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e6f98f23fea7db0f74897928024ca0.png)
(2)向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed492f7b29166ba5c1f0023b05a439c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3143307ad0ba4a631eac04e814993655.png)
您最近一年使用:0次