1 . 已知函数
(
,
,
)的部分图象如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/6/e91ed20d-4972-42f7-9999-8141248b1cfc.png?resizew=179)
(1)求函数
的解析式和单调递增区间;
(2)若
,
,求
的值.
![](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/c2ec7dc63956169362373e179ce6f67c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/6/e91ed20d-4972-42f7-9999-8141248b1cfc.png?resizew=179)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e88a3313f76c6c4b1c876dd009acb88e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac40b5b9c7c83924404be15ff1a7a96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65c54f2a917702caf0d5ed3e7efe050f.png)
您最近一年使用:0次
2 . 已知函数
.
(1)求函数
的最小正周期和对称轴方程;
(2)若函数
在
上有2个零点,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/023fe8dbcd4d9682eadc0d92f09a750a.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134f0f92e3d32849dd90657515db4f58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbc5e806b6f4d556bbd8039c6936e773.png)
您最近一年使用:0次
3 . 已知
,且
.
(1)求
的值及
的最小正周期;
(2)将
的图象向左平移
个单位长度,再向下平移
个单位长度,得到
的图象.若关于
的方程
在
有两个不同的根,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc175897ea8cdd4ff50ec16dd252972.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6742e9ed66a1f97e3113bb404daf239.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.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/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91a09da1efd0f599dd4682f2284822b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9105ca8bf7775f0efcb7bb8c6d80cad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
4 . 已知函数
.
(1)求
的单调递减区间;
(2)若函数
与
的最大值相同,最小值相同,单调递增区间相同,求
在
上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc50b8e1cc267f0becf72803dde7e3ab.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ad3d9ef4dd0c0f0474cb7a25293fc6b.png)
![](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/b172723002461ae60798317e2f10f6c2.png)
您最近一年使用:0次
5 . 设函数
,已知函数
的图象经过点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/527edc20697fffcb63c8ac7ada531f86.png)
(1)求函数
的解析式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ca6fa9955690cec01db601e3abce0c.png)
(2)求函数
在
上的单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1775d0be2d768caaa2f59f6b15128603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/527edc20697fffcb63c8ac7ada531f86.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ca6fa9955690cec01db601e3abce0c.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579537c2483ebf9638830b54a7b714b2.png)
您最近一年使用:0次
2024-02-21更新
|
518次组卷
|
2卷引用:安徽省阜阳市第三中学2023-2024学年高一上学期期末考试数学试题
名校
解题方法
6 . 筒车是一种水利灌溉工具(如图
所示),筒车上的每一个盛水筒都做逆时针匀速圆周运动,筒车转轮的中心为
,筒车的半径为
,筒车转动的周期为
,如图
所示,盛水桶
在
处距水面的距离为
.
后盛水桶
在
处距水面的距离为
,若
,则直线
与水面的夹角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dfd25aaa1a12507a69309fdc9225578.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9f50605db5d5f8f3a01ee8e474a112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cdbf9cf0857352c9f4cab7a508d1026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9f6524582d60e8a4ccbe45abf7713e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b53eab97158937f92039c1e133b0f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/789d3681bb3a479460201eb04b33c0ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f88ec2dbad3fa6208c0493291e5ccdcb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7 . 已知函数
.
(1)求该函数的单调递增区间;
(2)若对任意![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c828f6dde5ccf7bce4520e961570883.png)
都有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c90130a0dae10283091ba33c0cb6d24.png)
(1)求该函数的单调递增区间;
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c828f6dde5ccf7bce4520e961570883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05250abe6da85eb0b555948d7dbaf317.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb808e08ba8d004f17759d626ca46cbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
8 . 已知函数
,相邻两对称轴之间的距离为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
(1)求
的值;
(2)若
时,方程
有解,讨论方程解的个数,若方程所有解的和记为
,求
所有可能值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f43285a39fa2bf73a37c9efdc80a989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd29544a6b056940d248c2fa4ec36043.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0c35393080972a7620f980c4f37d041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
9 . 已知函数
为奇函数,且
图象的相邻两对称轴间的距离为
.
(1)求
的最小值.
(2)将函数
的图象向右平移
个单位长度,再把横坐标缩小为原来的
倍(纵坐标不变),得到函数
的图象,记方程
在
上的根从小到依次为
试确定
的值,并求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aacfe1700f79a16a1d0a40716446329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c67743ca66c91232cbccaf610542734.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.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/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d375e5567091ed4dd4320a77a4e36092.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e83d59b0bfe4ddb1f9521109b5e0ec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d5300bf9c70d22c587f733261047e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b570cf2353a62e6791cb1280ca398aae.png)
您最近一年使用:0次
10 . 已知函数
.
(1)求函数
的单调递增区间;
(2)将函数
的图象向右平移
个单位,再将所得图象上所有点的横坐标缩短为原来的
倍,纵坐标不变,得到函数
的图象,求函数
在
上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27c4685835c0129a7c843f61254c294.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.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/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61dff5b63913762b3be82e55a18f3847.png)
您最近一年使用:0次
2024-02-12更新
|
1046次组卷
|
3卷引用:安徽省芜湖市2023-2024学年高一上学期1月期末教学质量监控数学试题