1 . 已知向量
,则
在
上的投影向量为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27dd8bd58dfb923cb37f3ebb25d3f464.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
2 . 已知向量
,
,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80d769ab21af5365d3c00dc617375ce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17d4ff62743aa8b1248b5349c74cb9af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85a096ea62e6ee94a66d8790cac915be.png)
A.![]() ![]() | B.若![]() ![]() |
C.![]() ![]() ![]() | D.若![]() ![]() |
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2023-08-01更新
|
303次组卷
|
2卷引用:宁夏银川市第二中学2022-2023学年高一下学期期末考试数学试题
名校
解题方法
3 . 已知向量
,
满足
,且
,
的夹角为
,则
与
的夹角为( )
![](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/95ad9f98a96d3190a3717cb41f13c9ff.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/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3143307ad0ba4a631eac04e814993655.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
4 . 八卦是中国文化的基本哲学概念,如图1船八卦模型图,其平面图形记为图2中的正八边形
,其中
,则下列结论正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d17d4a6cf11cda87b3dfafaecdec683f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6634ccc2457dec1ce68b24c97fd23f47.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-07-31更新
|
646次组卷
|
5卷引用:宁夏银川市贺兰县第二高级中学2022-2023学年高一下学期期末数学试题
宁夏银川市贺兰县第二高级中学2022-2023学年高一下学期期末数学试题(已下线)第一篇 “必拿”选择前5填空前2 专题12 平面向量的基本运算【练】广东省茂名市高州市石鼓中学2023-2024学年高一下学期第一次校际联考数学试卷广东省潮州市松昌中学2023-2024学年高一下学期期中考试数学试题(已下线)第二章平面向量及其应用章末综合检测卷(新题型)-【帮课堂】(北师大版2019必修第二册)
解题方法
5 . 如图,在
中,
,点D在线段
上,且
.求:
(1)
的长;
(2)
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f5ca3cbfe671f8e450fdb0a8fd57f96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc57614c316ede4c0a0ab3d533e21bd8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/31/5aa769a5-2d2c-4f14-b521-5a0df365a56f.png?resizew=213)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721c75fcd58d3d54260aad0f82e09e37.png)
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解题方法
6 . 已知向量
的夹角为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0188c51e7824fa75f152e7be6e8dfa9.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5d4e605a36aba6fe4af28cbfec2f570.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0188c51e7824fa75f152e7be6e8dfa9.png)
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7 . 已知向量
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/547e78e908bc4bc9a65d0055d627ca2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a0c936362373d49d5607dee6a9b22f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
您最近一年使用:0次
解题方法
8 . 已知向量
,且向量
满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797cbb8bee1af9e8c5ae17c6b41f90d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83b199a4c00ce429509e7d82307ed789.png)
A.![]() | B.![]() |
C.向量![]() ![]() ![]() | D.向量![]() ![]() ![]() |
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2023-07-30更新
|
208次组卷
|
2卷引用:宁夏银川市第六中学2022-2023学年高一下学期第一次月考数学试题
2022高一·全国·专题练习
名校
解题方法
9 . 已知在
中,
,
,动点
位于线段
上,当
取得最小值时,向量
与
的夹角的正弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50bf7d7fa347c09dedde116bb787a3c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077c956ac0eb05cf120e14f17413dfa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f84b66d8f551532ed16e2308d658e72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/454a02d14e3371707f979ea0cd7b9412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c153ea91f9cbc952a331b9c58b2762e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
10 . 已知向量
,
.
(1)求
的值;
(2)求
的值;
(3)求向量
在向量
上的投影向量.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210b479ac99b75932e76be029605c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0635dd7654629ef1dc976c116aa17dc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3db87f99222f1705e122a6bd329c9f1.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e16eb319ee454088f5b527cf6c4d5.png)
(3)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
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