解题方法
1 . 已知下列五个函数
,从中选出两个函数分别记为
和
,若
的图象如图所示,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0908ff4409d87277ab3b8583837bd1e.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ae6be1c40cb864c38df5dcebf5f2035.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/870a586e90a7bb79dc44f9451dee19ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0908ff4409d87277ab3b8583837bd1e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/7/5f92437d-7854-4769-a256-899f9ed1c297.png?resizew=116)
您最近一年使用:0次
2024-03-07更新
|
163次组卷
|
3卷引用:北京市朝阳区2022-2023学年高一上学期数学期末试题
名校
解题方法
2 . 设a为非负实数,函数
.
(1)当
时,写出函数
的单调递增区间;
(2)若方程
有且只有一个根,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9daeffe390915297f07a2e57de4faa7.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
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3 . 已知函数
,若方程![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
有三个不同的零点
,
,
,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/444f7f1f30e332b41c0aa3af87d46fa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f8d1a34435611f6a59eac3dbfeb6e17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
A.实数![]() ![]() | B.函数![]() ![]() |
C.![]() ![]() | D.函数![]() |
您最近一年使用:0次
名校
解题方法
4 . 已知定义在
上的奇函数
满足
,且当
时,
则下列结论正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275815073d040d04fe4820f9841b78d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e715d237002ca7aaa240c969b7001170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/950aea85fe88c855c523517e0470dfb0.png)
A.![]() |
B.函数![]() ![]() |
C.![]() |
D.关于![]() ![]() |
您最近一年使用:0次
2023-12-07更新
|
167次组卷
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2卷引用:四川省达州市宣汉中学2023-2024学年高一上学期第二次月考数学试题
名校
5 . 已知函数
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18226c3685f6fbf01f822a0b523625db.png)
A.函数![]() ![]() |
B.若方程![]() ![]() ![]() ![]() |
C.若方程![]() ![]() ![]() ![]() |
D.方程![]() |
您最近一年使用:0次
6 . 已知
,
.定义
,设
,
.
(1)若
,(i)画出函数
的图象;
(ii)直接写出函数
的单调区间;
(2)定义区间
的长度
.若
,
,则
.设关于x的不等式
的解集为D.是否存在t,使得
?若存在,求出t的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df18da1ecd1a83afc4544ee71f00c56b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92fd3003a50fc4b754f134fe799b12a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b6e7402f4f1369855b7b085a5d2ae3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/769ef52deedb5a708760656f9c26094c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31877fa2d6f8a70a5b9aeb1d8b59310c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/25/45865a78-4ce4-4fb1-b56a-26ab4f523167.png?resizew=169)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66884efff7400f92b530d69d029778d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b426608a06477f57cb994f4d00e4465d.png)
(ii)直接写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b426608a06477f57cb994f4d00e4465d.png)
(2)定义区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a421dcdff3dff08169805bfa9743b6f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae6ef9c3a133abc84cce48028dc61c68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ad8e44a8c7c4f7aed5e3829f9974a8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c155c7051a694bd792dce709111334.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72de315b1f39290021ef0f05349b25a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8ed2fb4a6389a9994694ba9aa5e6422.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d008aab3aadca7fb9ba7400f3121542.png)
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7 . 设函数
为
与
中较大的数,若存在
使得
成立,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/164d2d97e16d75391e2f408650ab15ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860deba9f6f2f78d79d3e17f64f2c00b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
8 . 设
,函数
.
(1)若
,求函数
在区间
上的最大值;
(2)若
,写出函数
的单调区间(不必证明);
(3)若存在
,使得关于
的方程
有三个不相等的实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88f96959eec20184737f01fce08466f2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f45945ea3bb180301c742c5c7267225.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/428035347e7a15173c18de8f94bb342f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f4354048d0eb1ddb2e15b0ae9af159c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2023-02-12更新
|
359次组卷
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5卷引用:第五章 函数的概念、性质及应用(压轴必刷30题9种题型专项训练)-【满分全攻略】(沪教版2020必修第一册)
(已下线)第五章 函数的概念、性质及应用(压轴必刷30题9种题型专项训练)-【满分全攻略】(沪教版2020必修第一册)(已下线)期末真题必刷压轴60题(10个考点专练)-【满分全攻略】(沪教版2020必修第一册)(已下线)期末真题必刷压轴60题(22个考点专练)-【满分全攻略】(人教A版2019必修第一册)河北省石家庄市第十七中学2023-2024学年高一上学期期中数学试题上海市闵行中学东校2022-2023学年高一上学期期末数学试题
9 . 已知函数
的定义域为D,存在
,对一切
,若
时,都有
恒成立,则下列符合题意的函数有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc1bc250c8a6523a1be394ff48d4a51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dfcd71602e93b8e8a57fa752c292786.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/580c300d1699fc2145c914a0c99ae585.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2022-12-15更新
|
939次组卷
|
5卷引用:四川省成都市实验外国语学校2022-2023学年高一上学期期末考试数学试题
解题方法
10 . 已知函数
是定义在
上的奇函数,当
时,
则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8db35c56fadaddd757a831d5b18e42d7.png)
A.函数![]() ![]() | B.当![]() ![]() |
C.![]() ![]() | D.函数![]() ![]() |
您最近一年使用:0次
2022-11-05更新
|
740次组卷
|
3卷引用:重庆市2022-2023学年高一下学期6月月考数学试题
重庆市2022-2023学年高一下学期6月月考数学试题浙江省温州十校联合体2022-2023学年高一上学期期中联考数学试题(已下线)期末考试押题卷二(考试范围:必修第一册全部)-2022-2023学年高一数学新教材同步配套教学讲义(苏教版2019必修第一册)