1 . 下面有四个命题:
①设一扇形的半径为
,面积为
,则这个扇形的圆心角的弧度数是
;
②设等边三角形
的边长为
,则向量
在向量
上的投影为
;
③若
,则
;
④设函数
图象的一条对称轴为直线
,则实数
的值为
.
所有正确命题的序号是_________ .(把你认为正确命题的序号都填上)
①设一扇形的半径为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2713679aa5f12e1d89d3a3d98b65212e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4467285b89285600704d469bf30bbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
②设等边三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d792a2aa25763e14cc2863be3887000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef966cdd137b3b10e290201b4d17542e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a22b4929932fe9ccb2c51e5824d07f04.png)
④设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0aa6d3526ce93db7107f748e925c4f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24db7b603aebdee8e298d1fe49c848e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47153fdd73c0661fa460130082e30929.png)
所有正确命题的序号是
您最近一年使用:0次
2 . 已知
,
,且向量
在向量
方向上的投影为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6316d995f00623f05fc3d56a6cbe5f00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a4fe23b799a0777b2faebd77dd05bf.png)
![](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/feb16d1089cf194d658387742e1c2a93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd01707e8d32f277b83c007a5b15bd7.png)
A.12 | B.![]() | C.![]() | D.10 |
您最近一年使用:0次
3 . 已知
是边长为2的正三角形,则向量
在
上的投影是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d792a2aa25763e14cc2863be3887000.png)
A.![]() | B.1 | C.![]() | D.![]() |
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2021-05-21更新
|
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5卷引用:河南省洛阳市2020-2021学年高一下学期期中考试数学(文科)试题
河南省洛阳市2020-2021学年高一下学期期中考试数学(文科)试题河南省洛阳市2020-2021学年高一下学期期中考试数学(理科)试题陕西省西安市大联考2022-2023学年高一下学期期中数学试题(已下线)专题03 平面向量及其应用-2020-2021学年高一数学下学期期末专项复习(北师大版2019必修第二册)(已下线)期末复习【过关测试】-2020-2021学年新教材高一数学下册单元复习一遍过(沪教版2020必修第二册)
4 . 如图,半圆
的直径
,
,
为半圆弧上的两个三等分点.
![](https://img.xkw.com/dksih/QBM/2021/5/5/2714425055027200/2714699058372608/STEM/fba5b10b3ec9460ebccc6eccd0941dec.png?resizew=170)
(Ⅰ)求向量
在向量
上的投影;
(Ⅱ)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://img.xkw.com/dksih/QBM/2021/5/5/2714425055027200/2714699058372608/STEM/fba5b10b3ec9460ebccc6eccd0941dec.png?resizew=170)
(Ⅰ)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a1b0ecc2d8e0164d78e0125953afa2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d956b09c004ddf8bdf6669a8182e80ea.png)
(Ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdd128a7f3c9eb680f34586071a7f0f.png)
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2021-05-05更新
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2卷引用:河南省新乡市部分学校2020-2021学年高一下学期期中考试数学试题
名校
解题方法
5 . 已知
,
,
,则
在
方向上的投影为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7605402b78577eb6fa5b59767e158fc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab6d3bab6e69378926238f058530c8c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0b6c577be45a43b0679ded6f7b71f9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/524594bf0942ed86f56fc1eee120a81a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a92e6eba8dab638fd66831cd3a0b6d7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-10-10更新
|
871次组卷
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6卷引用:河南省实验中学2020-2021学年高一下学期期中数学试题
河南省实验中学2020-2021学年高一下学期期中数学试题(已下线)【新东方】杭州新东方高中数学试卷319黑龙江省哈尔滨师范大学附属中学2020-2021学年高三上学期期中考试数学(理)试题黑龙江省哈师大附中2021届高三(上)期中数学(理科)试题浙江省五校2020-2021学年高三上学期第一次联考数学试题(已下线)【新东方】双师324高二下
名校
解题方法
6 . 已知平面向量
,
.
(1)若
,求
在
在方向上的投影;
(2)若
,求向量
与
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80d769ab21af5365d3c00dc617375ce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e26d2909a6d3eb025119d65bfa76cf.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076559f08d17fb25e82886e791719e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cd8bbf47b69bbd7a6263b041290d11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
您最近一年使用:0次
解题方法
7 . 已知
,
,则
在
的方向上的投影为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/215173153b5f88cdf8176c405ed1cf0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0ef3c10c2867b64ef705a71b1f7c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
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2020-05-30更新
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4卷引用:河南省项城三高2017-2018学年高一下学期第二次段考数学(B卷)试题
解题方法
8 . 已知向量
,若
三点共线.
(1)求实数
的值;
(2)若
,求
的坐标;
(3)求
在
方向上的投影.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56900282673cd47dc14b0e0a5413c8bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7915e42fb51e0e5d082d01768618e3e6.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/524156ae1ea772e32a0d894b8c905072.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f75fc81977aee721525b4c5625f5a097.png)
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9 . 如图,网格中小正方形的边长均为1,
及
是网格线的交点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc6f53f422fbb3e93fd291b60db7dd0.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/817036ef8545a344f2a74873590f1fce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc6f53f422fbb3e93fd291b60db7dd0.png)
![](https://img.xkw.com/dksih/QBM/2020/3/1/2410341626454016/2412126963957760/STEM/702d1a6e0aa345c1977602c3765c5ea4.png?resizew=187)
您最近一年使用:0次
名校
10 . 已知
,
与
的夹角
,则
在
方向上的投影为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf0b40ab957abd03f1db03ddf71242fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3cc805723d3ecc95b4472d13bb1bb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc1f08c7640e62e8717abf4d44a6c83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3cc805723d3ecc95b4472d13bb1bb6.png)
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2020-02-17更新
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412次组卷
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5卷引用:河南省洛阳市洛阳格致学校2022-2023学年高一下学期期中数学试题