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)
您最近一年使用:0次
5 . 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)
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2022-12-20更新
|
599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
6 . 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
7 . 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)
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8 . 设
,若关于
的方程
在区间
上有三个解,且它们的和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8eccda8d08a2959b11f25c1ddf348ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a6d09c32512c84dc5e9ecda023d6039.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3aae9c8988f4a48db69cad3308942c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f99376e6b053ffd21b179108c18c3d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
您最近一年使用:0次
9 . 设函数
,若将
图像向左平移
个单位后,所得函数图像的对称轴与原函数图像的对称轴重合,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced4e98005460ddf090ba25fc0cb9e09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6f835371a38864594252e24e1d5b24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
您最近一年使用:0次
2021-12-20更新
|
1149次组卷
|
8卷引用:上海市徐汇区2022届高三上学期一模数学试题
上海市徐汇区2022届高三上学期一模数学试题(已下线)押全国卷(文科)第11题 三角函数的图象与性质-备战2022年高考数学(文)临考题号押题(全国卷)(已下线)第07讲 三角函数图像与性质-2(已下线)专题06 三角函数(模拟练)-1(已下线)专练39三角函数综合检测AB卷-2021-2022学年高一数学上册同步课后专练(人版A版2019必修第一册)x(已下线)专题5.12 函数y=Asin(ωx+φ)-重难点题型检测-2021-2022学年高一数学举一反三系列(人教A版2019必修第一册)(已下线)1.6.2探究φ对y=sin(x+φ)的图象的影响(课件+练习)(已下线)第29讲 函数y=Asin(ωx+φ)-【暑假自学课】(人教A版2019必修第一册)
10 . 已知函数
,
.
(1)若函数
在区间
上递减,求实数a的取值范围;
(2)若函数
的图像关于点
对称,且
,求点Q的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d32431242e351dbb7e7518540acb98a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b83baa48a7288449dbb959f3282c009.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e30096b7bfb7d8e94336df5d1f92f16d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d80ab3c6f79c312700ae0cea9a6d63f.png)
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