名校
1 . 若对于向量
,
是一个单位向量,
,
与
的夹角为
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e12e95f703ad30ab9a3d38376830989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c734983e908fc8671cbf554aafe73aa.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/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e5ebbf3cdd35ccb6b77972401b07557.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9d4105cbfae0d960eba691fa2035ec8.png)
A.2 | B.1 | C.0 | D.![]() |
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名校
2 . 在平面直角坐标系中,点
为原点,
.
(1)求
的坐标以及
的值;
(2)若
,且
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305ae9480d4bac4811a1de742a46972d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dff19c492923bb47ef54de071c27e8c1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/571b8a2416542301d1435a43a7de208e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e8e05917ce92f10501ee4b80d1edb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
3 . 下列各组向量中,可以作为基底的有( )
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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解题方法
4 . 已知
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e311ae799e3b4c00b8b888b219547f8.png)
A.![]() | B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() | D.![]() ![]() ![]() |
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解题方法
5 . 若向量
,
,满足
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/219900a4325966330225c66942271030.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/ede13546f2d31024998fd9a81b6004eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7af485413186ab3208767bc6637fb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b0093428ca3d3e314b89e108ca7cb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/219900a4325966330225c66942271030.png)
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解题方法
6 . 一物体在力
的作用下,由
移动到
.已知
,则
对该物体所做的功为( )![](https://staticzujuan.xkw.com/quesimg/Upload/formula/470fb1e94898800f900047a3e425999f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aeafc162e284c3d6253343efcbb6593.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79df66200c3bb79ee04b8461f6baa623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc73ba44b99afa964a2542bf770f3c5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3564e1d969a22b5fc3624dc7377b2ec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aeafc162e284c3d6253343efcbb6593.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/470fb1e94898800f900047a3e425999f.png)
A.![]() | B.26 | C.8 | D.18 |
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解题方法
7 . 已知
,且
与
的夹角为
.
(1)求
的值;
(2)求
的值;
(3)若
,求实数k的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/748ec447e586af2803ec00d97d13ca95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e16eb319ee454088f5b527cf6c4d5.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b195aa36a3c2753ebf08cb464c52ad1e.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff4b47482299062de4a248406e54c17.png)
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2024-04-18更新
|
534次组卷
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2卷引用:宁夏银川市第二中学2023-2024学年高一下学期月考一数学试卷
8 . 如图,风景秀美的宝湖公园有一颗高大的银杏树,某研究小组为测量树的高度,在地面上选取了
两点,从
两点测得树尖的仰角分别为
和
,且
两点间的距离为
,则这颗银杏树的高度为_________________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/270800ba975e87235e8802a631e5f3a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c08094f72d5bd69246c453dd28e33d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5022abc6afd4deff13845419fa38312e.png)
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2024-04-15更新
|
402次组卷
|
2卷引用:宁夏银川市唐徕中学2023-2024学年高一下学期4月月考数学试卷
名校
9 . 已知复数
满足
(
为虚数单位),则
的虚部为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f986e3d4ad2dfc1558ba3519b3b9f754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
A.1 | B.![]() | C.2 | D.![]() |
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解题方法
10 . 设复数
,
为虚数单位.
(1)若
,求
;
(2)若
是纯虚数,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfd40965488d5db89ea7b4ac5c4d1d78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579743813856e2a9183f5ec6eaaefbb2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe615164ed2995bdeea0f5b0ba94231.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec04f844e8fd9d9b1ef835e23eaa54e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8b3f66119c2ce542984d12eb2b6b77.png)
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2024-04-15更新
|
562次组卷
|
4卷引用:宁夏银川市唐徕中学2023-2024学年高一下学期4月月考数学试卷
宁夏银川市唐徕中学2023-2024学年高一下学期4月月考数学试卷山东省泰安市新泰第一中学老校区(新泰中学)2023-2024学年高一下学期期中考试数学试题(已下线)高一数学期中模拟卷一(范围:平面向量+复数+立体几何初步)--同步精讲精练宝典(人教A版2019必修第二册)广东省湛江市第二十一中学2023-2024学年高一下学期期中考试数学试卷