名校
解题方法
1 . 已知
是定义域为
的奇函数,且图像关于直线
对称,当
时,
,对于闭区间
,用
表示
在
上的最大值,若正数
满足
,则
的值可以是_______ (写出一个即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790daaa89fc9d093f45023becf765697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fae0961f73fe66ddbb6a2d4c84fd5d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1377e4eba3864dab59461147d68da32c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0834d79024c17ab66826f04015006cb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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名校
2 . 设函数
.
(1)若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e46d0336ea9893b942b928a9ee57a1c.png)
___________
(2)函数
的值域为__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f3dc5ea151914f1074122c423e4a17f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232725e55a716a1d110c4a174305de7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e46d0336ea9893b942b928a9ee57a1c.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab02d4ef93d85e1966be77261160f374.png)
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3 . 已知函数
,若
,且
,设
,则
的最大值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8859992e017294637f973520c54cf8f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eae51f0310b87cde2e206643e9d25a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40f1081e17d76952734b3195474f9d84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5d4a254c1d4ce01dc17b862dd719bb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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2022-11-14更新
|
639次组卷
|
3卷引用:福建省厦门大学附属科技中学2022-2023学年高一上学期期中考试数学试题
4 . 已知
则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44726c9f25dbddfe57452d44598ae911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43541b1a0388d3f51dc0881f02dc90c8.png)
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名校
解题方法
5 . 已知
,
,若任给
,存在
.使得
,则实数a的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3983fbea281cf9678113d4c469e9b171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a76ba1c1cef5f0e6efdca5e436122412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71f985718530cae9003dd401c044ef3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/403e268aa7ae4cbaa883020acca4f7f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
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2023-11-23更新
|
312次组卷
|
6卷引用:湖北省荆州市沙市中学2023-2024学年高一上学期10月月考数学试题
湖北省荆州市沙市中学2023-2024学年高一上学期10月月考数学试题广东省中山市龙山中学2023-2024学年高一上学期10月月考数学试题广东省东莞市韩林高级中学2023-2024学年高一上学期期中数学试题广东省深圳市科学高中2023-2024学年高一上学期期中考试数学试题(已下线)高一数学上学期期中考试模拟卷(已下线)【第三练】3.2.1单调性与最大(小)值
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6 . 已知扇形OPQ中,半径
,圆心角为
,若要在扇形上截取一个面积为1的矩形ABCD,且一条边在扇形的一条半径上,如图所示,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8176754726d2194c890e80df1a1f1c3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc7f86c01dc112967f375c7fb116aa60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/22/3d9f8446-fd1f-43db-8939-52448777eb53.png?resizew=162)
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2023-11-23更新
|
287次组卷
|
2卷引用:浙江省9+1高中联盟2023-2024学年高二上学期期中考试数学试题
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7 . 如图,在扇形
中,半径
,
,
在半径
上,
在半径
上,
是扇形弧上的动点(不包含端点),则平行四边形
的周长的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e3dfcd8aff269dd5aba398816490c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ccc37b189fa2cbc269ca0b233dac37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa7bbd7831e9ff4f8cffc8889d34f05.png)
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2024-05-02更新
|
271次组卷
|
5卷引用:广东省梅州市曾宪梓中学2023-2024学年高一下学期期中联考数学试卷
名校
8 . 已知函数
,若
在
上有2个零点,则实数
的取值范围为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3434eca09277e8db4668d791e5f6a449.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b0d1bf2a242aa503ae0db3a47a58daa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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9 . 已知函数
的值域为
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba529a0fb1af23c0935d9f043db70658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-11-16更新
|
293次组卷
|
3卷引用:广东省湛江市2023-2024学年高一上学期11月期中数学试题
名校
10 . 如图,在等腰三角形
中,已知
,
,
分别是边
上的点,且
,其中
且
,若线段
的中点分别为
,则
的最小值是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe07603e5ec70c15bdccd29ccaae7fe1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284a563413dc0532138fb2a64db8cc2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf9b288c48c73463a2f214f02b6952a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d54431bbb28ebd98db5c1dc6083a75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ced561a3fffe222ab42bc4a015385dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf89344ded4d4ebb94edf2b8d42ed8dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74d6ff84712e33efb6140658e816e548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a1a9e8acb9e2dffeaf5ee062d0fa9c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b405c36bca1dca1aa0483386c8fc62b3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/1af5bc7d-547f-46cb-ad9a-7097611d5b1d.png?resizew=174)
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2020-01-19更新
|
1551次组卷
|
6卷引用:2019年河南省郑州市高一下学期期末考试数学试题
2019年河南省郑州市高一下学期期末考试数学试题福建省漳平市第一中学2019-2020学年高三上学期第二次月考试题 数学(理) 试题(已下线)2020届高三12月第03期(考点05)(理科)-《新题速递·数学》人教A版(2019) 必修第二册 过关斩将 第六章 6.1~6.2 综合拔高练2020届浙江省温州中学高三下学期3月高考模拟测试数学试题(已下线)考点15 平面向量的线性运算-2021年高考数学三年真题与两年模拟考点分类解读(新高考地区专用)