名校
解题方法
1 . 已知向量
与
的夹角为
,且
,
,则
在
方向上的投影向量坐标为________ .
![](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/d2f693847d74800e82ec41196bcd54be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51547fd908ffdae4ba26822ae325b860.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6208cbf9f9ca96d25ac39d654553764.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
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名校
解题方法
2 . 在
中,
.
为边
上一点,
为边
上一点,
交
于
.
(1)若
,求
;
(2)若
,求
和
的面积之差.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb9a326aece050cf5e9f4713176bb1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b210112e06c09e01255f901f22417500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4abf471da32c43bc2e56679a2038cac1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c444af7a40000c15940578f9826ef99.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2b0216fb4161cda4be672d5224cedfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7fbd6b9f85c086ac95562fe45e8d969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f483a71f250bac98cb05d67dccad14.png)
您最近一年使用:0次
7日内更新
|
165次组卷
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2卷引用:福建省厦门第一中学2023-2024学年高一下学期6月适应性练习数学试卷
名校
解题方法
3 . 已知
的面积为9,
,过D分别作
于E,
于F,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1a106e4f1a3d3f9efddb4dc4c63664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f62ca3d0dd0057a11181c43aeb6b40b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d276d0010fd458383ea3dd61415e1aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66c5ebceb81a57bd8da57c45dc4085a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
您最近一年使用:0次
名校
解题方法
4 . 在平面四边形ABCD中,E,F分别为AD,BC的中点,若
,
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833cfda415649b832cc136caed392753.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bda2fdbd3dfef24b7643ec8872ed3f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61fe0a2c9932ab756d121e93313be427.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
5 . 已知向量
,
满足
,
,
.则
在
上的投影向量的模长为________ .
![](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/39a593f5a5b0b6d5a3e4bb0481875af6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8eafb341060b35ffaf7ec2c1e0f5c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6afa490635b593f15ffaa0bb49be485.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed492f7b29166ba5c1f0023b05a439c5.png)
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6 . 已知等腰
中,
,则
在
上的投影向量为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2e0396017be75f8c0dd946b9ee2cc3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89265cbe3abc6b966ce8967fead448b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/083a20abb668d4c26fe5039bd108b40a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-13更新
|
524次组卷
|
3卷引用:福建省厦门第一中学2023-2024学年高一下学期6月适应性练习数学试卷
名校
解题方法
7 . 在
中,
,
为
边上的中线,点
在
边上,设
.
(1)当
时,求
的值;
(2)若
为
的角平分线,且点
也在
边上,求
的值;
(3)在(2)的条件下,若
,求
为何值时,
最短?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8520a21b909d04f763d0f61dd74bc158.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a775cd2e88d786d495ae2cb262a2b0f.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9680bd6f250acb8b568510419b59d3e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82f4f8e27f307a8a998a3335ba7d1bb4.png)
(3)在(2)的条件下,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/441b642fc2d954a5117710a053a21a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
您最近一年使用:0次
2024-06-13更新
|
414次组卷
|
2卷引用:福建省厦门市双十中学2023-2024学年高一下学期第二次月考数学试卷
名校
解题方法
8 . 在
中,a,b,c分别是角A,B,C的对边,
:
,
:
,则p是q的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e762fe2dd40d314915682433b2af063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f29c54eb515b3c46d7660188d5f854b.png)
A.充分不必要条件 | B.必要不充分条件 | C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2024-06-11更新
|
356次组卷
|
2卷引用:建省厦门双十中学2023-2024学年高一下学期5月期中考试数学试题
名校
解题方法
9 . 向量
,
,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa27c09a5c955e423743bda656d0b50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a709794d7ff5e38e5d8d465abca1c3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-06-07更新
|
330次组卷
|
8卷引用:福建省厦门市同安第一中学2023-2024学年高一下学期第一次月考数学试卷
福建省厦门市同安第一中学2023-2024学年高一下学期第一次月考数学试卷北京市延庆区2023-2024学年高一上学期期末考试数学试卷(已下线)第八章:向量的数量积与三角恒等变换(单元测试)-同步精品课堂(人教B版2019必修第三册)(已下线)8.1.3向量数量积的坐标运算-同步精品课堂(人教B版2019必修第三册)(已下线)8.1.3 向量数量积的坐标运算-【帮课堂】(人教B版2019必修第三册)天津外国语大学附属河北外国语中学2023-2024学年高一下学期第一次月考数学试题北京市房山区北京师范大学燕化附属中学2023-2024学年高一下学期期中质量检测数学试题(已下线)专题03 平面向量的9种常考题型归类(2) -《期末真题分类汇编》(北师大版(2019))
解题方法
10 . 如图1,将三棱锥型礼盒
的打结点
解开,其平面展开图为矩形,如图2,其中A,B,C,D分别为矩形各边的中点,则在图1中( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/17/6b73349b-e32d-4caa-9721-9560b4356152.png?resizew=308)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/17/6b73349b-e32d-4caa-9721-9560b4356152.png?resizew=308)
A.![]() | B.![]() |
C.![]() ![]() | D.三棱锥![]() ![]() |
您最近一年使用:0次