解题方法
1 . 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:广东省茂名市2023-2024学年高一上学期期末质量监测数学试题
解题方法
2 . 已知定义在
上的奇函数
,当
时
.
(1)求函数
的表达式;
(2)请画出函数
的图象;
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/5d1f99d4-80cc-44d0-87a7-88b47fbd57b0.png?resizew=205)
(3)写出函数
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2628e2dd7a988cc80530e739c22b2280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c038bc48671118df97d0e4938fe4ab90.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)请画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/5d1f99d4-80cc-44d0-87a7-88b47fbd57b0.png?resizew=205)
(3)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
您最近一年使用:0次
名校
3 . 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
名校
4 . 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
名校
5 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/20/fa258bee-7ce0-4613-8f74-fde8a408fb58.png?resizew=216)
(1)画出
的图象;
(2)根据图象写出函数的单调区间;
(3)求
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07a560d0c6969b117a5a8f88f87a8380.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/20/fa258bee-7ce0-4613-8f74-fde8a408fb58.png?resizew=216)
(1)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)根据图象写出函数的单调区间;
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1bf0995f32a13d0a9e423f3e88ab271.png)
您最近一年使用:0次
解题方法
6 . 已知
为定义在R上的偶函数,当
时,
.
(1)用分段函数表示
时
的解析式,作出
在定义域内的图象,并指出
的值域;
(2)讨论直线
与
图象的交点个数(不需证明).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34057d0e878d2252eaff27d6b28db427.png)
(1)用分段函数表示
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/16/a9fd9b93-ec1a-4dbe-a9ad-eeaadc23f2f7.png?resizew=187)
(2)讨论直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30be9baff9da707f2b7cd008a6e686f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数
是定义
在上的偶函数,且当
时,
.
(1)现已画出函数
在
轴左侧的图象,请补全函数
的图象,并根据图象写出函数
的单调递增区间;
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/16/85e28a3a-63dd-4d4e-b398-0a9a2a845e3d.png?resizew=191)
(2)写出函数
的值域;
(3)求出函数
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)
(1)现已画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2d2a706da87c1775d9e89799e45b4df.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/16/85e28a3a-63dd-4d4e-b398-0a9a2a845e3d.png?resizew=191)
(2)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2d2a706da87c1775d9e89799e45b4df.png)
(3)求出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2d2a706da87c1775d9e89799e45b4df.png)
您最近一年使用:0次
2023-12-16更新
|
138次组卷
|
12卷引用:广东省佛山市禅城实验高级中学2022-2023学年高一上学期期中数学试题
广东省佛山市禅城实验高级中学2022-2023学年高一上学期期中数学试题浙江省台州市椒江区实验学校2020-2021学年高一上学期期中数学试题西藏林芝市第二高级中学2020-2021学年高一上学期第一学段(期中)考试数学试题广西南宁市东盟中学2020-2021学年高一年级12月月考数学试题山东省济南第一中学2021-2022学年高一上学期期中数学试题北京市东直门中学2021-2022学年高一12月月考数学试题云南省昆明市中央民族大学附属中学昆明五华实验学校2021-2022学年高一上学期期中考试数学试题江苏省连云港市赣马高级中学2022-2023学年高一上学期期中复习数学试题(1)(已下线)高一上学期期中【常考60题考点专练】(必修一前三章)-2022-2023学年高一数学考试满分全攻略(人教A版2019必修第一册)(已下线)高一上学期期末【常考60题考点专练】-2022-2023学年高一数学考试满分全攻略(人教A版2019必修第一册)云南省大理市下关第一中学2024届高三上学期11月期中考试数学试题新疆乌鲁木齐市第三十一中学2021-2022学年高一上学期期末考试数学试题
解题方法
8 . 已知定义在
上的偶函数
.当
时,
.
(1)在平面直角坐标系
中作出
在
上的图象;
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/16/74cc93c6-076d-43c9-9af8-121342c25802.png?resizew=210)
(2)若
在
上单调递增,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74ad8f7a67af3d197d74c6b47a1d67ca.png)
(1)在平面直角坐标系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f16a685cbaf10f04e6bbe3d585c9298a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/16/74cc93c6-076d-43c9-9af8-121342c25802.png?resizew=210)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98afed2724b83e6c7e4e09fee83470a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
9 . 设函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/9/fbc49cbe-3e57-4dcc-99d4-58112f81b0a0.png?resizew=194)
(1)将函数
写成分段函数的形式,画出其图象;写出函数
的单调递减区间和值域;
(2)若
,求x的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e59410318f0dc2e5530b27cd28ddf68.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/9/fbc49cbe-3e57-4dcc-99d4-58112f81b0a0.png?resizew=194)
(1)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abdaffa9c15517afe6d7ba6488f88f67.png)
您最近一年使用:0次
解题方法
10 . 给定函数
,
,
,
,用
表示
,
,
中的较小者,记为
.
![](https://img.xkw.com/dksih/QBM/2023/11/30/3379051373395968/3379334206119936/STEM/1bf1704c28554918b744f605ef91b9c4.png?resizew=273)
(1)求函数
的解析式,画出其图象,根据图象写出函数的单调区间;
(2)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7343e8f9118952329c5c1072caa9b0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcecc8ac651ab4c23a34eaf5c8b2c682.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc2108f1d868fd218dc2a26d1749d64d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b426608a06477f57cb994f4d00e4465d.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/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7183e25f3c656714ab09aa80641f960b.png)
![](https://img.xkw.com/dksih/QBM/2023/11/30/3379051373395968/3379334206119936/STEM/1bf1704c28554918b744f605ef91b9c4.png?resizew=273)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd84da85388fcc2b7b74eed6790b9318.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1e1cb9d08ff6f810c1172d917d2f56a.png)
您最近一年使用:0次