名校
1 . 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
|
112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
2 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/14/f9afc217-60ea-49c7-a7d9-05971a960fec.png?resizew=193)
(1)判断并证明函数
的奇偶性;
(2)填空:
;
(3)
时,函数
的图象如图所示,补充完整函数
的图象;
(4)分别写出函数的单调增区间和单调减区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23e1389a69ab1b592eb0c887590ceccc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/14/f9afc217-60ea-49c7-a7d9-05971a960fec.png?resizew=193)
(1)判断并证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)填空:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/377719f30042353bec8f746893d536c6.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(4)分别写出函数的单调增区间和单调减区间.
您最近一年使用:0次
名校
解题方法
3 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/13/c30a1791-d8c3-4411-84a5-78368d57bd41.png?resizew=188)
(1)列表、描点(7个)并画出函数
的图象,自变量
的取值可任取;
(2)根据图象写出
的单调递增区间(不用证明);
(3)若方程
有四个实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52aad1ed3e7588ad6ae05d63506ececa.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/13/c30a1791-d8c3-4411-84a5-78368d57bd41.png?resizew=188)
(1)列表、描点(7个)并画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)根据图象写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-11-19更新
|
188次组卷
|
2卷引用:广东省东莞市常平中学2023-2024学年高一上学期期中考试数学试题
4 . 已知函数
的图象如图所示.求:
![](https://img.xkw.com/dksih/QBM/2023/11/14/3367977557237760/3368063177695232/STEM/1b277b52c83b4b6e99771e5b6d67bb84.png?resizew=199)
(1)函数
的定义域;值域.
(2)p取何值时,有唯一的m值与之对应.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3238442aca3614504c52c31d7c97678c.png)
![](https://img.xkw.com/dksih/QBM/2023/11/14/3367977557237760/3368063177695232/STEM/1b277b52c83b4b6e99771e5b6d67bb84.png?resizew=199)
(1)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3238442aca3614504c52c31d7c97678c.png)
(2)p取何值时,有唯一的m值与之对应.
您最近一年使用:0次
解题方法
5 . 定义在R上的奇函数
在
上的图象如图所示.
(1)请在坐标系中补全函数
的图象;
(2)结合图象求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/4/8f449722-8510-4bb6-85c8-b1983a64d549.png?resizew=236)
(1)请在坐标系中补全函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)结合图象求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f72d20f1bf6d42731872b4554cf81a03.png)
您最近一年使用:0次
2023-11-11更新
|
341次组卷
|
3卷引用:黑龙江省龙东五地市2023-2024学年高一上学期期中联考数学试题
解题方法
6 . 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),请根据图象解答下列问题.
(1)作出
时,函数
的图象,并写出函数
的增区间;
(2)写出当
时,
的解析式;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2b74d89854116e411c089d053df053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/becd598a11b876d858728161a7a09705.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/28/bd960988-5008-4149-baad-2658fa5cc5b7.png?resizew=180)
(1)作出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)写出当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2023-11-08更新
|
391次组卷
|
2卷引用:陕西省榆林市定边县第四中学2023-2024学年高一上学期期中数学试题
7 . 已知函数
的解析式为
.
(1)画出这个函数的图象;
(2)求函数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b3cc60ad44ceac7980245363bfbc9.png)
(1)画出这个函数的图象;
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
解题方法
8 . 图中给出了奇函数
的局部图像,已知
的定义域为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/939f77278a5622a7dfc1759c721d4ee0.png)
(1)求
的值;
(2)试补全其图像;
(3)并比较
与
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/939f77278a5622a7dfc1759c721d4ee0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/9/03c254bb-e9ce-4ae4-ae4d-638674233f46.png?resizew=210)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c60cf12a81b11e33356fe7e1c9e3d0b9.png)
(2)试补全其图像;
(3)并比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/486e282537cf72c6908f7ecfa4ef4cee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2047c73261796bf4ce4703069b9acedc.png)
您最近一年使用:0次
9 . 已知
为二次函数,且满足:对称轴为
,
.
(1)求函数
的解析式,并求
图象的顶点坐标;
(2)在给出的平面直角坐标系中画出
的图象,并写出函数
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879bc288cd3c71276a4a2213afedfbdb.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)在给出的平面直角坐标系中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fd713a9809d5df1de33c6f11b81eca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fd713a9809d5df1de33c6f11b81eca7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/d2218ac6-e36c-4de3-af5f-62b0046a427b.png?resizew=272)
您最近一年使用:0次
2022-12-30更新
|
913次组卷
|
5卷引用:西藏拉萨市第二高级中学2022-2023学年高一上学期期末考试数学试题
10 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1b3bcc1c8cbb6325e2e87107d61a002.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/27/3c49d8c0-9edc-4805-a989-ad5c3b3732a0.png?resizew=256)
(1)求
的值;
(2)在坐标系中画出
的草图;
(3)写出函数
的单调区间和值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1b3bcc1c8cbb6325e2e87107d61a002.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/27/3c49d8c0-9edc-4805-a989-ad5c3b3732a0.png?resizew=256)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba1e8ae93be5d4f44440dc3d2613d0ea.png)
(2)在坐标系中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2022-11-25更新
|
895次组卷
|
3卷引用:广东省惠州市龙门县高级中学2022-2023学年高一上学期11月月考数学试题