1 . 湖光岩玛珥湖,位于广东省湛江市麻章区湖光镇,是中国乃至世界最大的湿玛珥湖,是中国玛珥湖研究的始发点,也是世界玛玶湖研究的关键点.某小组计划测量如图所示的湖光岩玛珥湖的东西方向的总湖长,即测量湖光岩玛珥湖湖岸的两个测量基点
之间的距离,现在湖光岩玛珥湖的湖岸取另外两个测量基点
,测得
米,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c8ac6786eed93e5b07b0d933b6413b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bcc9a14dbe14104c6acd86f4d55c8d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/781faa16efc5b239bbd91b7d059b7de3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2 . 已知
是正六边形
边上任意一点,且
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db711cc0bc3765a432411d969d6397ec.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7fa3aea72ccc36948a4a90f7368f71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/005d0f0f5508c53ecf4687040f27f7d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db711cc0bc3765a432411d969d6397ec.png)
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3 . 已知函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5350c4f4b9198ae54999ca3e3a8fdaba.png)
A.当![]() ![]() |
B.当![]() ![]() |
C.当![]() ![]() |
D.当![]() ![]() |
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2024-04-16更新
|
556次组卷
|
3卷引用:吉林省白山市抚松县第一中学2023-2024学年高一下学期4月月考数学试题
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4 . 在
中,已知
,
,
,
与
边上的中线
相交于点
.
(1)请用
表示
;
(2)求
的值;
(3)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f4bda2ef75ffc702a931b850e5382a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1371fe98a65d8ebd840c8d98346b6d15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1f149a48a63a40b74eb50c415165ad9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)请用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0be656083580a03c6481fb75881b84f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33da308d92e9589e211ca612b3c7da76.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bce28d31b8e9b17167207069dacbb7.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29cdefd79d4a6e2bbc59e0c27d0ef930.png)
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解题方法
5 . 在
中,角
所对的边分别为
.已知
.
(1)求
的面积;
(2)求
的内切圆的半径
;
(3)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cf1ff025d359c03d196911f4b7758f6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76b2c6ad97588ec2751acab40fe5d8aa.png)
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解题方法
6 . 已知向量
满足
.
(1)求
;
(2)求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be946aa3c34690d5c9e7110b00a067d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e16eb319ee454088f5b527cf6c4d5.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4c5a4b1e64875763211cf3bf17caf03.png)
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7 . 已知复数
,若
为纯虚数,则
的虚部为________ ;若
在复平面内对应的点位于第四象限,则
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b9f26b2b86ed66cdc8e02cbe0393beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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8 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcbf8f921b3827ec470da67500e49613.png)
________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c06dec69c01f25dbbc78075d01d4a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcbf8f921b3827ec470da67500e49613.png)
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9 . 将函数
图象上所有的点向右平移
个单位长度后,再将所得函数图象上所有点的横坐标缩短到原来的
,得到函数
的图象,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb75d2350283066f24e1d13e6dc94a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
A.![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() |
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10 . 已知向量
,则向量
在
上的投影向量的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00dc6414218e2a2afdfec7f6f16e65d9.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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