名校
1 . 设函数
.
(1)若角
满足
,求
的值;
(2)求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6755307e13345d62df24a38e725390f2.png)
(1)若角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20818a7a5042d5f832e2bd9af4c6fa66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae1a95a3dfd554520c12b9e7ff4de273.png)
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解题方法
2 . 在平面直角坐标系
中,角
以
为始边,终边经过点
.
(1)求
,
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4065ed9c98391f4cfe89319b6e65b44f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc24d605ad707ad0e76059d8a31f50d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dca4a397c701804c1664c0f08ea5ee53.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186a2aff0a27493391921ec70750ad72.png)
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3 .
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeded5376c9112b1c760a4f63577999f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 在平面直角坐标系
中,点
、
、
满足:
在
轴的正半轴上,
的横坐标是
,
,
.记
是锐角,
是钝角.
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/529171262f22e6d81f576a16817fa85d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f529f96662d08336c687c3abc65a3850.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ab8faef2a917438dd810823cdcc78a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cb51f3e5cf5114c25cf81068d7f5fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22d521f8d021b20757d7a68107fcef1d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46703c65ecd8a0c5a8754b60566db05b.png)
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5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7c9ed0a3655f37283e6dc1618c715e.png)
(1)求函数
在
的值域;
(2)若
且
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7c9ed0a3655f37283e6dc1618c715e.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6283166f874ed2823ac7b8be04507870.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8918d117c8544bdfefe32d11e9de34e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac7ecf17b65cd5e94d59debb89dd39b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5653b4620620d07b555e4a6c9ff91f6.png)
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解题方法
6 . 在平面直角坐标系
中,角
与角
均以
为始边,它们的终边关于
轴对称,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c634aa65493615fbb40f1352a88c5aa3.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5fdec18642892e189c93a15b0d91cee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c634aa65493615fbb40f1352a88c5aa3.png)
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7 . 人脸识别就是利用计算机检测样本之间的相似度,余弦距离是检测相似度的常用方法.假设二维空间中有两个点
,
,
为坐标原点,定义余弦相似度为
,余弦距离为
.已知
,
,
,若
,
的余弦距离为
,
,
的余弦距离为
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4419304ab2ce7092cbff1ba2c397d6ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/375429b71e41bc551db376f2dcc49eaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d25b16c46c42068e2d25edfa6b122fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b829711116ac4ee4fb517744061f67c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3191a162acce82151cb3698dfcff89d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e28a96ee1e62b7fbc1fb0257ad0deeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46902ee9fbd30111d7831f1fc7b79641.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 在
中,角A,B,C所对的边长分别为a,b,c,已知
,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b2a471bd6248efcc8fa4505c5360a10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91ad445678a219941a50d14b25a66e70.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c6bac53ae78b1b15e3e0aa68591f2e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85527d190d4e1d6bac4145d1c716e65e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 若
,
,
,
,则
的值等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f07029c97c324d32f258f18a96654a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c5059dca84cb4580174d8b911bbe0d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efac3f630599fe34aadd7c51ca48c061.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc3884b343d76a26b4b85b48987d7064.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-26更新
|
413次组卷
|
5卷引用:上海市延安中学2023-2024学年高一下学期期中考试数学试题
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