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解题方法
1 . 如图,半径为1的扇形圆心角为
,点P在弧上运动,连结PA,PB,得四边形OAPB.
(1)求四边形OAPB面积的最大值;
(2)求四边形OAPB周长的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/30/e9b77ee5-a2e2-4634-abdc-c101a9b4f7e0.png?resizew=158)
(1)求四边形OAPB面积的最大值;
(2)求四边形OAPB周长的最大值.
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2024-02-07更新
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4卷引用:重庆市2023-2024学年高一上学期期末数学试题
重庆市2023-2024学年高一上学期期末数学试题重庆市2023-2024学年高一上学期期末联合检测数学试卷河南省南阳市社旗县第一高级中学2024届高三上学期1月月考数学试题(已下线)专题16 函数与不等式解图形最值问题
2024高一上·全国·专题练习
2 . 化简
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab6c3649577edf14c195df56c0e3a80.png)
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2024·全国·模拟预测
3 . 已知函数
.
(1)当
时,求函数
的单调递增区间;
(2)若函数
在
上有且仅有两个零点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fc3a9769dbd74b2160eeaafce83ead7.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dcee772e6187ac31d7f8d69b0487000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1613d377a07850c72cbec354b7a3000f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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4 . 已知.
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5a3ac54e8338b00e38357d78e3eccbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c05a467ddaa138590b3b56615c2c42a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2023-11-17更新
|
949次组卷
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4卷引用:江苏省无锡市锡东高级中学2024届高三上学期12月阶段性考试数学试题
5 . 已知函数
(其中
)的最小正周期为
.
(1)求
的单调增区间;
(2)设
,若
在区间
上的最大值为2,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9accd6790d008e857ecd2b98f0a5869.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e639d29cde50af3d319e5445068b491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbae0d22d931ac42b565c7990764a2c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-02-20更新
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599次组卷
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5卷引用:北京市育才学校2022-2023学年高一下学期期中考试数学试卷
北京市育才学校2022-2023学年高一下学期期中考试数学试卷(已下线)第八章:向量的数量积与三角恒等变换章末重点题型复习(2)-同步精品课堂(人教B版2019必修第三册)(已下线)模块二 专题1 三角函数的范围与最值问题(北师大版)(已下线)模块二 专题1 三角函数的最值与范围问题(人教B版)北京高一专题03三角函数(第三部分)
名校
解题方法
6 . 已知函数
.
(1)求
的值;
(2)求函数
的单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47287d6710bac013238918d8aee79f19.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71ff6995b4d2d18c865c51488b9c1bb0.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2023-09-04更新
|
801次组卷
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4卷引用:北京市清华附中2024届高三开学摸底考数学试题
北京市清华附中2024届高三开学摸底考数学试题(已下线)第10讲 5.5.2 简单的三角恒等变换-【帮课堂】新疆维吾尔自治区巴音郭楞州博湖县奇石中学2024届高三上学期期中数学试题北京市清华大学附属中学2024届高三上学期开学考试数学试题
7 . 向量
,令
.
(1)求
的周期:
(2)求
时,
的单调递增区间;
(3)求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c06b053284e4c054d3c3363114f9aa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e7b2150ed88d3ffdec3d142617eacf.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbf59d112c1125d1c94cb3c45d631c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e563463ce408e1a69411ec490a3eecc.png)
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8 . 求下列各式的值:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93214eee24bab758bfe79e6afb8d8f72.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57addc40ad212e153c8d31d5f1faf5b3.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/244213283b72f638105414ace3f0acf9.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20be2034f8689c29b25a92606bacfeea.png)
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9 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2da04ee023395cd6c3ca15bef206a48.png)
(1)求
的单调递增区间;
(2)求
图象的对称轴方程和对称中心的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2da04ee023395cd6c3ca15bef206a48.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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10 . 如图,在直角坐标系
中,作射线
,
分别交单位圆于点
,
,且
在第一象限,
在第二象限,且
.记
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/24/f11f2a53-63e7-4d82-a9d6-5d56086aaf9c.png?resizew=176)
(1)若
,求
;
(2)分别过
,
作
轴的垂线,垂足依次为
,
,求梯形
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbc790cfaa59a808c25a7edb95dc29fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de77ee0b176035fd3a89edc2ad957a77.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/24/f11f2a53-63e7-4d82-a9d6-5d56086aaf9c.png?resizew=176)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e92903b4ad4fc018c9f7d0309ed20403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
(2)分别过
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/520f8abda6a85e7ef6f281fc2df853fa.png)
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