1 . 已知
.
(1)求函数
在
上的严格增区间;
(2)将函数
的图像向左平移
个单位,再向上平移1个单位,待到函数
的图像,若函数
的图像关于点
对称,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4854fd098d6d323b1f9ecccae19e765.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd65d7c5e979706d391163aee2c18cb2.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f93a232c88870d213a7b74a796a1ff4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/032af5c8fb42cf108183982d7d689882.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
您最近一年使用:0次
2023-02-27更新
|
845次组卷
|
3卷引用:上海市位育中学2023届高三上学期期中数学试题
名校
2 . 已知函数
,若
的图像关于
中心对称,则最小的正实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dfd88961b692edcc69fd9f1d3d83061.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b67c623950b5795d5fb4daeb8102a8df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
您最近一年使用:0次
名校
3 . 已知
,曲线
在区间
内恰有一条对称轴和一个对称中心,给出下述两个命题,命题
:对任意
,存在
,使得
;命题
:存在
,对任意
,满足
.下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9494351e7986fe6183689afb1f6bd179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acdc6e6a0e6584bea7deb91b0841fa28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8c53c4b9ab43233eb15379d4895a9c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acdc6e6a0e6584bea7deb91b0841fa28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8c53c4b9ab43233eb15379d4895a9c6.png)
A.命题![]() ![]() |
B.命题![]() ![]() |
C.命题![]() ![]() |
D.命题![]() ![]() |
您最近一年使用:0次
4 . 已知
,将
的图象向右平移
个单位后,得到
的图象,且
的图象关于
对称.
(1)求
;
(2)若
的角
所对的边依次为
,外接圆半径为
,且
,若点
为
边靠近
的三等分点,试求
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/939405a5e194a87abb050ccf16e28e91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f025bb0112c19870e3e5d489ec03fcdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b212e0d4339cbd3d236a807547ebf6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390b3c8ab8005ced1eef84c85eda2df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
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5 . 已知函数
,若
在区间
上具有单调性,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58623607960c8da39844a8d09aef93d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a9546d806d4041283eaf898e4b0d706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c414774b69a53e09f1644802e3b68677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
您最近一年使用:0次
6 . 记函数
的最小正周期为
.若
,且
的图象关于点
中心对称,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a057153f1236cdb79d2f71a20b0ac5e7.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69a5115a39a1c14ffe724604588b7466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790e96ec765515c6955f48a626dad406.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4a39e10732ce2b53638d1258c81753e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a057153f1236cdb79d2f71a20b0ac5e7.png)
您最近一年使用:0次
2022-12-20更新
|
600次组卷
|
3卷引用:上海市市北中学2023届高三上学期10月月考数学试题
名校
7 . 如果实数
,且满足
,则称x、y为“余弦相关”的.
(1)若
,请求出所有与之“余弦相关”的实数
;
(2)若两数
、
为“余弦相关”的,求证:
;
(3)若不相等的两数
、
为“余弦相关”的,求证:存在唯一的实数
,使得x、z为“余弦相关”的,y、z也为“余弦相关”的.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcb5a17cc44201beac4b0e0bd3a6118.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c4d191a06571223f167587fcc7b2299.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec25b105130d71d3d529524671b6218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)若两数
![](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/3558a25771d7c5b73f0bcdefe7663fa9.png)
(3)若不相等的两数
![](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/35cb303f0057578ba50817087fe79b3a.png)
您最近一年使用:0次
2022-11-17更新
|
663次组卷
|
2卷引用:上海交通大学附属中学2022-2023学年高二上学期期中数学试题
8 . 已知
的图像关于直线
对称,若存在
,使得对任意x都有
,且
的最小值为
,则
等于_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/597808717e1e539677741e16526101fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c6cb0cc172657611e286e7fa669584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b161d1fa052b4b7b1d991da282b6bf84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deb73539af255bde55d682b0d0ca735f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6abf3f9b0ebcdc47a028c781b7edb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
您最近一年使用:0次
名校
9 . 若函数
对任意实数x都有
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dac402563bfae43094315487a0d2000.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdbf1db7b947d7124d6e76ccab7e80ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cb6a0ef4a27dfdc0b9fd0c0c95a18bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dac402563bfae43094315487a0d2000.png)
您最近一年使用:0次
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10 . 已知函数
(其中
,
),若
(T为周期),
是函数
图像的一条对称轴,
在区间
上单调,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e4892080a918aa2127c09e8d4c28c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6af3e2115ce0aaf5b99ac70c4441d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ecbd910e93504bf620d3121a8da023c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6461468072bd27afd53fd5f9c3bf344.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f7ad53345ed98ee098e5be61e5ca6ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
您最近一年使用:0次
2022-06-28更新
|
553次组卷
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2卷引用:上海市嘉定区第一中学2021-2022学年高一下学期(6月)期末网上测试数学试题