解题方法
1 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b04421a7f83dff8a246ebc3d449ccd97.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2da8627ed81d0dd2dd0d76ebb60fd7ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b04421a7f83dff8a246ebc3d449ccd97.png)
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2 . 已知平面向量
,
,若
,则
=__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f1df85c2d82a4c08bb65fe531730e3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/336e0f319187481f73440a5a065d29c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a70d446e6fc756806938596817fd1bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89b1556bb6b2284919fab2b00dccecba.png)
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3 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fece1a97b31498ee460acaa8bd098fe7.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33df564bce348d6b900b85b082977cd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fece1a97b31498ee460acaa8bd098fe7.png)
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4 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cbc0e1e5b4709970076b5bdd07b9a8c.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a156d62c6a968b2410935daf81dc421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cbc0e1e5b4709970076b5bdd07b9a8c.png)
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解题方法
5 . 设平面上三点
,试求
的模.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/377674a65559e878dde5ef57a38499ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30713cf8e61ab656cab19229ded87e00.png)
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6 . 已知
,则与
反向的单位向量的坐标是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/408b8060165be7788a5b491bd6dff1b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b92380879a4a051e22e6a252800ae76e.png)
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7 . 已知
,且
,则实数k的值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93348a803581da1a0fba44d56204641f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af78062e5dcebbe612e1acb595c4ebd0.png)
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名校
解题方法
8 . 在平面直角坐标系中,O为坐标原点,已知向量
,点
.
(1)若
,求
的最小值;
(2)若向量
与向量
共线,常数
,求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dc6a1952b96a584fb15c43acb6d7259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c96089155773dfa6f9974535417d1a87.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4eb73387ca01985d6df8fdb2c37bbf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dabeab6c433c71081c1acdb70c77ad6.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be64d59ac6538a0f4d79fb825e082081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05fe75b62e4b68f7aeca1a4bcd6fbb64.png)
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2021-03-23更新
|
304次组卷
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2卷引用:天津市南开中学2020-2021学年高一下学期3月月考数学试题
名校
9 .
中,点
.
(1)若四边形
为平行四边形,求D点坐标.
(2)若D在线段
上,且
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/117f08b3a8826afd3dfd9a9ffbe65b1c.png)
(1)若四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)若D在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44399bddd012b809ae5f95518c9bee28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/045fab982486b0dbb57969a7546759f7.png)
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2021-03-23更新
|
534次组卷
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4卷引用:天津市南开中学2020-2021学年高一下学期3月月考数学试题
10 . 已知
是坐标原点,
,有向线段
绕点
逆时针旋转
到
的位置,则点
的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2879b31b2ebf747d50de923e731da797.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60dcb171bb7fd972aab8294d63acdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f68628a408537b1cf3bf1ca2a69731b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-03-18更新
|
1000次组卷
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3卷引用:第9章 平面向量(能力提升)-2020-2021学年高一数学单元测试定心卷(苏教版2019必修第二册)
(已下线)第9章 平面向量(能力提升)-2020-2021学年高一数学单元测试定心卷(苏教版2019必修第二册)福建省福州市第十中学等校2020-2021学年高一下学期期中联考数学试题云南省昆明市第一中学2021届高三第六次复习检测(2月月考)数学(理)试题