名校
1 . 已知函数
(
)图象的一个对称中心为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2626a5bdd100424d2416a665ba0e9518.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7c9e46448bc791c441ca02d8f4508eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b212e0d4339cbd3d236a807547ebf6.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() ![]() |
D.将![]() ![]() |
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2卷引用:山东省临沂市2024届高三下学期5月高考模拟考试(二模)数学试题
名校
解题方法
2 . 若实数
,
,
满足
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8243716cf85ad19f07cb1cf9932aafd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0228c6998d6004f27695b0f211d5b85c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bed0975fb5b889b9ef4680234d1018c5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3卷引用:山东省临沂市2024届高三下学期5月高考模拟考试(二模)数学试题
名校
3 . 函数
(
,
,
)的部分图像如图所示.
的解析式;
(2)求函数
的单调递增区间;
(3)将函数
的图像上的各点的纵坐标保持不变,横坐标伸长为原来的2倍,得到函数
的图像,若
时,
的图像与直线
恰有三个公共点,记三个公共点的横坐标分别为
,
,
且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68ae6678d22dc7b9125533b2c873b9e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e1734dcc7697235124fbaba4ba6033.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc22711acd55161a5d42f0050f8d7130.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61a10c3b431d95bb70bacd0a793d5582.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/604215c53d7926f0c82920195a632c4a.png)
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5卷引用:山东省临沂市莒南第一中学2023-2024学年高一下学期3月月考数学试题
4 . 已知函数
(
,
)的图象与
轴的交点中,相邻两个交点之间的距离为
,且图象过点
.
(1)求
的解析式;
(2)求函数
的单调递增区间;
(3)将函数
的图象向右平移
个单位,再将图象上各点的横坐标伸长到原来的2倍(纵坐标不变),得到函数
的图象,若关于
的方程
,在区间
上有且只有一个实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a1b51fc74390c262bc0bcaeb20369c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417d254ddbb90974f271dbc8c60e8782.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0ba3ed3e0001719b9b529ac8725a7f6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5e24f048f9a87274863ba2c037d7a5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebeedf8ab92a660d0c1346c7bbe156e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d51992c05a557cf6058664f1f8961e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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名校
5 . 已知函数
,最小正周期为
.
(1)求
的值;
(2)求函数的最大值及取得最大值时自变量
的取值集合;
(3)求函数的单调递减区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cda41eb6ebff496f391b428577d2c48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(2)求函数的最大值及取得最大值时自变量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)求函数的单调递减区间.
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名校
解题方法
6 . 已知
,
,一条对称轴为
,若关于x的方程
在
有两个不同的实数根,则m的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4e453dccde8f3bae9eada3b656e1fd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ded52ab40aef7b71c9b4380648dc6d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de633b2c143b9f76b29cde1c6ffce71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/103d16e77a47fe54c70e30c2ec0c86b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d51992c05a557cf6058664f1f8961e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5卷引用:山东省临沂市第二中学2023-2024学年高一下学期第一次阶段性测试数学试题
名校
7 . 已知函数
(
,
,
)的部分图象如图所示.
的解析式为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fcd3cea5f5e2fe943490dcb65d74c73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e48d15e4ccb48bda970dfd6f026ff53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/5341e6d8-a7a3-4d10-b823-b040963ebd2f.png?resizew=151)
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名校
解题方法
8 . 函数
的最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b6b978b81d7c4a81bfefeca2ace01d.png)
A.2 | B.1 | C.![]() | D.![]() |
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9 . 已知函数,
,则函数
的值域是
( )
A.![]() | B.![]() | C.![]() | D.![]() |
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6卷引用:山东省临沂市莒南第一中学2023-2024学年高一下学期3月月考数学试题
名校
10 . 已知向量
,
,函数
.
(1)若
,且
,求
的值;
(2)将
图象上所有的点向右平移
个单位,然后再向下平移1个单位,最后使所有点的纵坐标变为原来的
,得到函数
的图象,当
时,解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/971fb8f36cfba561cad3a67e3a7210dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e58e735e4df356099e1baa633ef19810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26a54fbf95af735f52e271e02b3f1f63.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a308405d6e127e0ccacd79da2bc1d589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e40c227fae1d6bbf550f93d23a93295b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcfdf98213115dc7a6646d1417702a0e.png)
(2)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b593315a098b5310825524dd1834af9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c31a8b7f6d3b664b2c9bae09c3a6f884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf2798c1188c2542226ffc0f344a13d8.png)
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