名校
解题方法
1 . 已知函数
为定义在
上的偶函数,且当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2519cb5066023438c6b2f23f197f366c.png)
在
上的图象;
②若方程
恰有6个不相等的实根,求实数
的取值范围;
(2)对于两个定义域相同的函数
和
,若
,则称函数
是由“基函数
和
”生成的.已知
是由“基函数
和
”生成的,若
,使得
成立,求实数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac87434324956e4145e38ad92a1aa95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2519cb5066023438c6b2f23f197f366c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f216eab905e2470a08d95f56b465351d.png)
②若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c342d52fc26cc550a45b80756903bee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)对于两个定义域相同的函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1803511584bb172d9445a4c49ab6fde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e49794721f5504dd828acf49be37ff42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcabe2fbcaf9a95bc892d4ee048bcee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1803511584bb172d9445a4c49ab6fde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e49794721f5504dd828acf49be37ff42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edd4c1073c99cd02242ebcf0f4b9939b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a41a45b6b81807f3e168f34699df1399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aab8365588fd69302507063e903215d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75d2b557b1aeae935a866ef3f35de4e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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
|
134次组卷
|
2卷引用:广东省茂名市2023-2024学年高一上学期期末质量监测数学试题
名校
解题方法
3 . 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
名校
4 . 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
解题方法
5 . 已知
是
上的奇函数,且当
时,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/6/52d38c14-7d26-48c7-9e2d-4ff5e11c23b6.png?resizew=189)
(1)求
;
(2)求
的解析式;
(3)画出
的图象,并指出
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac87434324956e4145e38ad92a1aa95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f26ccb55fcd29bbbacb32598b852910.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/6/52d38c14-7d26-48c7-9e2d-4ff5e11c23b6.png?resizew=189)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02a57e7e65245a4d173c5d0bc3c34e45.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
您最近一年使用:0次
名校
6 . 已知函数
.
(1)求
和
;
(2)若
,求
的值;
(3)作出函数
的图象;并根据图象写出单调区间;
(4)当方程
有3个解时,直接写出实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f2e92fcc7b2d36880047071a0f95e8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32a859898e9905e0524d3a982eb34b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14348dcf52b54174c7f3cecc63d69e3e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0a73db674d29eae8f8921eff5944983.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)作出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(4)当方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb101c5df08aa35ae24a6416840b199b.png)
您最近一年使用:0次
解题方法
7 . 已知函数
是指数函数,且它的图象过点
.
(1)求函数
的解析式;
(2)画出指数函数
的图象,并根据图象解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5511a368692de27c58ec48ce968de4a4.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)画出指数函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11b71076a96bb2d9080d81441060f90d.png)
您最近一年使用:0次
名校
8 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac26961bab48a9301f307274649e4981.png)
(1)求
的值;
(2)请在答题卡给定的坐标系中画出此函数的图象,并根据图象直接写出函数
的定义域、值域、单调递增区间、单调递减区间;
(3)已知函数
是定义在
上的奇函数,且当
时,
的图象与
的图象相同,试求出函数
在
上的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac26961bab48a9301f307274649e4981.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4474bd87c00ac3ee99ab366527ded109.png)
(2)请在答题卡给定的坐标系中画出此函数的图象,并根据图象直接写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf664ed944afee2ec6d18b67fd09b06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b94f151c00959a1cd3946e7f8405337.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf664ed944afee2ec6d18b67fd09b06.png)
您最近一年使用:0次
9 . 已知幂函数
的图象过点
,设函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/24/cd4263a7-d085-4bf6-94e2-f246dc892b0d.png?resizew=183)
(1)求函数
的解析式、定义域,判断此函数的奇偶性;
(2)根据“定义”研究函数
的单调性,画出
的大致图象(简图),并求其值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e5abce9e520b37572b68141940bbf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/687c95902f2c7a5cb9808ace73b7bbad.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/24/cd4263a7-d085-4bf6-94e2-f246dc892b0d.png?resizew=183)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)根据“定义”研究函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
您最近一年使用:0次
名校
10 . 已知函数
是定义在R上的函数,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/23/6bbd81f6-41e1-4878-a65e-f7f9a1cdf5d0.png?resizew=188)
(1)将函数
写成分段函数的形式,并画出函数
的图象;
(2)根据图象写出值域.
(3)若
与
有两个交点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2351710c91d225375623c79d7507c88a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/23/6bbd81f6-41e1-4878-a65e-f7f9a1cdf5d0.png?resizew=188)
(1)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)根据图象写出值域.
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d300a3a6d3270bccac16b34fd7a3cb5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4d12362d4b8dd25813953e1c5a94b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次