2022高三·全国·专题练习
1 . 若将函数
的图象向右平移
个单位,所得图象关于
轴对称,则
的最小正值是_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c5c12d634d89fa6c1db1b95759efd08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
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574次组卷
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8卷引用:第15题 三角函数图象定式,各类性质一目了然(优质好题一题多解)
(已下线)第15题 三角函数图象定式,各类性质一目了然(优质好题一题多解)(已下线)专题09 三角函数填空题(理科)-1(已下线)专题05 高一下期末考前必刷卷03-期末考点大串讲(人教A版2019必修第二册)重庆市永川北山中学校2024届高三下学期高考预测卷(最后一套)数学试题(已下线)专题01三角函数的图象与性质-讲案 (文科)第一篇 热点、难点突破篇-《2022年高考文科数学二轮复习讲练测》(全国课标版)(已下线)第04讲 三角函数-【寒假自学课】2022年高一数学寒假精品课(苏教版2019必修第二册)(已下线)类型三 三角函数中的范围、最值问题-【题型突破】备战2022年高考数学二轮基础题型+重难题型突破(新高考专用)(已下线)7.3 三角函数的图象和性质(4)
名校
解题方法
2 . 如图,某公园内有一块边长为2个单位的正方形区域
市民健身用地,为提高安全性,拟在点
处安装一个可转动的大型探照灯,其照射角
始终为
(其中
,
分别在边
,
上),则
的取值范围______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7023ec0f513c7d0ef86859a5ede54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc5604d3e156df3e7ccca0ccec9c9d45.png)
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解题方法
3 . 如图,这个优美图形由一个正方形和以各边为直径的四个半圆组成,若正方形
的边长为4,点
在四段圆弧上运动,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e83b9f01e806bf74042ba41b26423022.png)
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23-24高一下·上海·期末
解题方法
4 . 已知函数
,其图像的最高点从左到右依次记为
,
,
,
,
,其图像与
轴的交点从左到右依次记为
,
,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f5d58b5984ec0fd9bfd08f23fca622.png)
_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84f9df40ba2c942938a4e780fa1b4d35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b56e44e4f0424a2b7a45567120a2e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a71fc9c0068109dad1382354570665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2857fac4963b129d99e79dcb3e13d295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63f5c583c98a1fd516c6ceaa60b55dec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f5d58b5984ec0fd9bfd08f23fca622.png)
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23-24高一下·上海·期末
解题方法
5 . 如图,正六边形的边长为
,半径为1的图
的圆心为正六边形的中心,若点
在正六边形的边上运动,动点
,
在圆
上运动且关于圆心
对称,则
的取值范围为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7787dfab61ed9830b531da365e592bbd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/6/6/c4a30cc1-0e33-4a55-a010-e2fe9192f62c.png?resizew=126)
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2024高一下·全国·专题练习
6 . 如图,直径
的半圆,
为圆心,点
在半圆弧上,
,线段
上有动点
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c161375e4e6f61f1cbef8083c02e975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d493b2b9d5e5132eee3f74aa8fabfbab.png)
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解题方法
7 . 如图,在平面斜坐标系
中,
,平面上任意一点
关于斜坐标系的斜坐标这样定义:若
(其中
分别是
轴,
轴正方向的单位向量),则
点的斜坐标为
,且向量
的斜坐标为
.给出以下结论,其中所有正确的结论的序号是_______
,
,则
;
②若
,则
;
③若
,则
;
④若
,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ad4c21d0009cf8265361890308e056e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5253a9a71037d60059b60237824193b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10814bc3db929e79874befe96cf4e3d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91174b2336306191ba275a87864172b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f72bf0fce80daad394f2a9d013829c5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879080beb1e55cae2639645cd64c4710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be815024e215a7804f07bfb7b902ee92.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455bae796d928c3c4d9090e924259628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/492ec33a8a8fe343c808dad4d4048a27.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d97636c187bac63f85bbe7b4f037c9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b857b2449bceb2517aa97388f4d3b585.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3db266679b2b3fde243f74746e0e84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143350baca29128763c3df934dc75608.png)
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8 . 已知锐角
,
满足
,
, 则
的值为______ .
![](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/e269a235c9a8c1317f3c8e6a4895925b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c2f629f16f40c1b8ba6735a5914500a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e8d157b2358cc901983d432c9cb66e8.png)
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解题方法
9 . 如图,在平行四边形
中,点
在
边上,点
在
边上,且
与
相交于点
,若
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1219354911501cfca65cbf69159222a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/505e09e91d937bfe0514e38cd67e3b61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
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2024-05-04更新
|
695次组卷
|
4卷引用:上海市曹杨第二中学2023-2024学年高一下学期期中考试数学试卷
上海市曹杨第二中学2023-2024学年高一下学期期中考试数学试卷广东省四会中学、广信中学2023-2024学年高一下学期第二次月考数学试题(已下线)专题01 向量基底、四心及其应用(2)-期末考点大串讲(苏教版(2019))(已下线)高一下学期期末考试01(范围:三角函数+必修第二册)-重难点突破及混淆易错规避(人教A版2019必修第二册)
名校
解题方法
10 . 如图所示,
是正六边形
的外接圆,若点
是
上的动点,设
,则
的最大值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0bd58152e714896a2ca1edeb0f6b53c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34669591f912d20cb2cd3e1cedcc2c6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
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