名校
1 . 对任意的
函数
,都有
,且当
时,
,若关于
的方程
在区间
内恰有6个不等实根,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aedc1c8a16e306bcd6e5154f9ed6dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d203f81cd25b0e4b6e0f994d6a042b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a21e1e80acd7ce4837f80e0257fa5357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/016eff8c401a95d3eb5c7a785632293a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a08bd89cef4f0b1ae3d31a0a9f8f937.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/939f77278a5622a7dfc1759c721d4ee0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.(3,5) | B.(3,4) | C.[3,4] | D.[3,5] |
您最近一年使用:0次
解题方法
2 . 已知二次函数
满足
,且
,
为偶函数,且当
时,
.
的解析式;
(2)在给定的坐标系内画出
的图象;
(3)讨论函数
(
)的零点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/743089fff9d71f10d5643354d1f7f8da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aa7ce6983a3147fee5418459cf7d7ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea730e263c7b433f932b921bf7de679.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)在给定的坐标系内画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
(3)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a5cfd91dcacd5fe1ec008feb603f47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39106d1bdd098fc71c68b9c606891eeb.png)
您最近一年使用:0次
2024-01-26更新
|
132次组卷
|
2卷引用:广东省汕头市潮阳区河溪中学2023-2024学年高一下学期期中考试数学试题
名校
3 . 已知函数
若函数
图象与直线
有且仅有三个不同的交点,则实数k的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f1ce279fae83ab8a56fed38a83e072.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead6a3dbd03539ef5e0807be57bb1e17.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
4 .
,用
表示
中的最小者,记为
,则函数
的最大值为___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d274b4edbba503ea1b3ac1e3d1bbfe91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb1ed40a8f67e93401e544284ceaaf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc4978f812146b4566467ee255fc1c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfa7e20d4d189ec5ec8ac82cf0d36382.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f323f949a2eabfbbb32d48388311837.png)
您最近一年使用:0次
名校
5 . 已知函数①
;②
,作出函数
的图象,并写出单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b33d559cb7cd4d3c45ab237179de345.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e980c3a147bdccef4f5165bad2d41c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
2024-03-13更新
|
123次组卷
|
2卷引用:北京市第五十中学分校2023-2024学年高一上学期期中练习试卷
解题方法
6 . 已知函数
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/11/3d1bd810-67ab-46d9-93e0-a0afa9a3e87b.png?resizew=210)
(1)判断函数
的奇偶性并用定义证明;
(2)用分段函数的形式表示函数
的解析式,并直接在本题给出的坐标系中画出函数
的图像;
(3)用
表示
,
中的较大者,即
,若
,则求
的值 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/578b5d562457a6ba731ee5a2dd3b1fc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a63716f1f42c412f23bfb2f3651638c4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/11/3d1bd810-67ab-46d9-93e0-a0afa9a3e87b.png?resizew=210)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)用分段函数的形式表示函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c694cf892ee07daa54bdd9f2fb421e2.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/1b345ba4baeae1041f7d69ad09dc326c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe57503d720d07a26770942b067d2cf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数
,
.
(1)当
时,画出函数图象并指出函数
的最大值和最小值;
(2)求实数
的取值范围,使
在区间
上是单调函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/389df5bf66ae866f474083813c20bbda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/944c02f1425e9c700c928b5a542bd04b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e71dbce0ccda0f5df7d0555fa23bf770.png)
您最近一年使用:0次
名校
解题方法
8 . 已知函数
是定义在
上的偶函数,且当
时,
. 现已画出函数
在
轴左侧的图象,如图所示:
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/23/8390e79d-f2fd-4207-8399-7b23e731fa86.png?resizew=188)
(1)请补全函数
的图象;
(2)根据图象写出函数
的单调递增区间;
(3)求出函数
在
上的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2b74d89854116e411c089d053df053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5397ee1eb6d157f6ec1e7a878f8d16e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/23/8390e79d-f2fd-4207-8399-7b23e731fa86.png?resizew=188)
(1)请补全函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)根据图象写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(3)求出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
您最近一年使用:0次
9 . 画出函数
的图象并求出函数的定义域,值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f2f361bedd4d8fef6cac242b77e693.png)
您最近一年使用:0次
名校
10 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/21/560bee3b-3ab8-4016-b56d-b7867478170d.png?resizew=174)
(1)画出
的图像;
(2)请根据
的图像直接写出
的解集(无需说明理由).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6e7c11431296392b9d404233cc21358.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/21/560bee3b-3ab8-4016-b56d-b7867478170d.png?resizew=174)
(1)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)请根据
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0450c72be714c5cc1931598f2b604712.png)
您最近一年使用:0次