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1 . 在
中,角A,B,C所对的边分别是a,b,c,且________,在①
;②
;③
,这三个条件中任选一个,补充在上面的横线上,并解答下列问题:
(1)求角A的大小;
(2)若AD是
的角平分线,且
,
,求线段AD的长;
(3)若
,判断
的形状.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b6c4e81dcf5e218116edd0962bd42ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e732ded6a7c9edfe2c223eb2e1959f51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4683a7d4d99602c8e24c901428235ad.png)
(1)求角A的大小;
(2)若AD是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb5bac75f36bb1dc5c8190d4dbe681d.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8018ca74a3562c4a9910a17ab9e37a61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2 . 在复平面内,复数
对应的点关于直线
对称,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d860cb86e1467ac24010aecfc7a425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95423c449f5d44dd949bf3b0130946f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e1ef88d9924ca9e5f0609a039b1ccba.png)
A.![]() | B.5 | C.![]() | D.1 |
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|
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4卷引用:辽宁省东北育才学校高中本部2023-2024学年高一下学期期中考试数学试题
辽宁省东北育才学校高中本部2023-2024学年高一下学期期中考试数学试题(已下线)核心考点4 复数及其运算 B提升卷 (高一期末考试必考的10大核心考点) (已下线)专题06 复数常考题型归类-期末考点大串讲(人教B版2019必修第四册)广东省华南师范大学附属中学2024届高三下学期模拟测试(一)数学试题
名校
解题方法
3 . 已知|
,
,
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c357efba6277c0b5e46cabeb93f7a77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b507692d26f6f38f5418a86f2b10d985.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bad01658b1ef75f08bc1c28f4bc57f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b847ccdc479d753206a89eb94e37754.png)
A.2 | B.![]() | C.3 | D.4 |
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解题方法
4 . 已知向量
,
,
,满足
(
),且
,若
为
,
的夹角,则
的值是( )
![](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/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e21027d4c039e83e33f67cef3e82461.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad52924df9291d5d191d18e09374ee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ffe803ace64d7cc9e7179712a7ff373.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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248次组卷
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3卷引用:辽宁省实验中学2023-2024学年高一下学期期中阶段测试数学试卷
辽宁省实验中学2023-2024学年高一下学期期中阶段测试数学试卷河南省安阳市林州市第一中学2023-2024学年高一下学期5月月考数学试题(已下线)专题03 平面向量的数量积常考题型归类-期末考点大串讲(人教B版2019必修第三册)
5 . 2023年下半年开始,某市加快了推进“5G+光网”双千兆城市建设.如图,某市区域地面有四个5G基站A,B,C,D.已知C,D两个基站建在江的南岸,距离为
,基站A,B在江的北岸,测得
,
,
,
,则A,B两个基站的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/402ab7d6a609d28a80f67cc1b9112d48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4f8939f8c274cb26a8a6a5fa2469087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6af38433c5ea5e25dce0ca0f3919c46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6662097cf94dc37facdaba44b49966d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b0c6766bd801fa114221d0ab0bfa61.png)
A.![]() | B.![]() | C.40km | D.![]() |
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6 . 在
中,
,
,
,则“
恰有一解”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97661ec75a6e3c3bc7d2234f83ae3aeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa375c3888b332f24e7d0f9b9600c694.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b46e22204cbc2b089a3af37b46cf327b.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充分必要条件 | D.既不充分也不必要条件 |
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7 . 已知函数
的部分图象如图所示下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fabc46b4c77ed40e1fdf1df623961fee.png)
A.![]() |
B.函数![]() ![]() |
C.函数![]() ![]() |
D.若对于任意![]() ![]() ![]() ![]() |
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解题方法
8 . 已知
,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a9fcaa804011c37873b03ee284504fe.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef966cdd137b3b10e290201b4d17542e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c98ce1bd8a5ffe3e18b4033d4ade5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc282dae4ac9132196ac5d13f63b901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f836697b6e7daec4ab093779fff51923.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a9fcaa804011c37873b03ee284504fe.png)
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解题方法
9 . 化简
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41960a7deac3d49ba5186c8c5a5ed941.png)
A.1 | B.![]() | C.![]() | D.![]() |
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10 .
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e202b9804b62714eae1c1618f0219e9.png)
A.![]() | B.![]() | C.![]() | D.1 |
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