名校
解题方法
1 . 已知
,
,
是同一平面内的三个向量,其中
.
(1)若
,且
,求
的坐标;
(2)若
,且
与
垂直,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/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb8aab93070fcfafe6c845ae43a7a26.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf342e77c56e55a35bb1151bc215a3a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49e24258ce6905ac9fe44105638cbb12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecc480fcfd76dda1610f1a1598fa8ae9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67a10617e38d78d1af49522245d5df19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37d820e65012958623d6a05a275ed41f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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2 . 已知点
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adcbab32efe996aaa242f8c2c36aecbc.png)
A.![]() ![]() ![]() | B.![]() |
C.![]() | D.![]() |
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名校
3 . 如图,在
中,点C,D分别在线段OA和AB上,
.
(1)若
,求
的坐标和模;
(2)若AE与OD的交点为
,设
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efe92ed4e95dd8cacc2eb72ffb13e437.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/12c56654-7a98-499a-93e3-65543bf967bf.png?resizew=160)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ed77cd3a464201233bf00dd84e98d1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0735144f6e24b6b32028ff14c17c1cec.png)
(2)若AE与OD的交点为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c83f38131ea8f19e5adb9b6335f2e80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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名校
4 . 已知向量
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2e19b1bc7280bde6ef1a5de3fe3d585.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db29352a8088aacd26393e96c3b87aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/941223a5f9de6551f3e72c288556b281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91b958a367fa2f08b6202a5a6ebf5e9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2e19b1bc7280bde6ef1a5de3fe3d585.png)
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2024-03-18更新
|
1268次组卷
|
10卷引用:安徽省六安市裕安区新安中学2023-2024学年高一下学期第一次月考数学试题
安徽省六安市裕安区新安中学2023-2024学年高一下学期第一次月考数学试题湘豫名校联考2022-2023学年高三上学期10月一轮复习诊断考试(一)数学(文科)试题内蒙古自治区赤峰市赤峰二中2022-2023学年高三上学期第二次月考理科月考数学试题宁夏回族自治区石嘴山市平罗县平罗中学2023-2024学年高一下学期第一次月考(4月)数学试题天津市滨海新区塘沽第二中学2023届高三上学期11月期中数学试题天津市宝坻区第四中学2023-2024学年高三上学期期中综合测试二数学试题(已下线)第六章 本章综合--数学思想训练【第二练】“上好三节课,做好三套题“高中数学素养晋级之路北京市第八十中学2023-2024学年高一下学期期中考试数学试题(已下线)2.5 从力的做功到向量的数量积6种常见考法归类(2)-【帮课堂】(北师大版2019必修第二册)(已下线)第二章平面向量及其应用章末十六种常考题型归类(2)-【帮课堂】(北师大版2019必修第二册)
解题方法
5 . 设平面向量
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/894314ca9ec64c711707bc6ddcf71033.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e7aed9bacf1be0f1cd92e31192ac310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b1305dff4fc89f3e8bc75fa7c258de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/894314ca9ec64c711707bc6ddcf71033.png)
您最近一年使用:0次
名校
6 . 已知平面向量
,
.
(1)若
,且
,求
的坐标;
(2)若
与
的夹角为锐角.求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55d4806428d45917cde867c566fc5f63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b1305dff4fc89f3e8bc75fa7c258de.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a298aebc4651710f918f752fc7529f23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c79ce72a9023cffa8fc2e7d7a130c6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2b0627ff70b02aa16b007dc41794dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2023-06-18更新
|
694次组卷
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5卷引用:安徽省芜湖市安徽师范大学附属中学2023-2024学年高一下学期3月阶段性教学质量监测数学试题
名校
7 . 已知向量
,
,若
,则
在
上的投影向量的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7156d3c0fc66f7c2dc4824fab7fc017.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f17bf658e4d3d43231ce7e57ecdcc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf21fef3026cfe445a855c94cab5c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed492f7b29166ba5c1f0023b05a439c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
A.![]() | B.![]() | C.![]() | D.(![]() |
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2023-06-05更新
|
821次组卷
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7卷引用:安徽省江淮名校2022~2023学年高一下学期5月阶段联考数学试题
解题方法
8 . 已知向量
,
,满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d02cff6ce929c98c5f372dbfe2a1879d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f548896401025cf1ddfa44375cf5e948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6122b23a5fe62e8629fdd3ede09411a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
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2023-04-13更新
|
324次组卷
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2卷引用:安徽省亳州市蒙城县第八中学2023届高三下学期第二次月考数学试卷
名校
9 . 已知平面向量
,
满足
,
,其中
.
(1)若
,求实数m的值
(2)若
,若
与
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/6d6ef67a1047a9569d895e7581bfd2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e309edc0953490ad2e06832b9b5c5de8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd79264e130de60a100b001b5d45585c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf21fef3026cfe445a855c94cab5c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed492f7b29166ba5c1f0023b05a439c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1afc391105ca04c187e6be5bd77acc78.png)
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2023-03-21更新
|
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2卷引用:安徽省滁州中学2022-2023学年高一下学期3月月考数学试题
10 . 设向量
,则
与
的夹角等于__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02ef138c53299c21be77ab5a1a0063a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
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2023-02-15更新
|
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2卷引用:安徽省芜湖市北城实验学校2022-2023学年高二上学期第一次月考数学试题