名校
解题方法
1 . 已知
是定义在
上的奇函数,且在区间
上的任意两个不相等的实数
,总有
,若
满足
,则
的取值范围是( )
![](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/fe86cace140f2c3588ab115837bbfc9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/522a2054d1f2e78f14b5e051369c87bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70363e5c88c95562599d26c00fbf0fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-12-19更新
|
577次组卷
|
5卷引用:山东省跨地市多校2023-2024学年高一上学期模拟选课走班调考(12月)数学试题
名校
解题方法
2 . 已知
,设
,则
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0644a1bee657c5a88b52c232962fedef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d8b292a38bbcc17cf5b76ff1a97461.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
3 . 设
是定义在
上的奇函数,满足
,当
时,
,若方程
在
上有四个不同的实数解,则
的取值范围是( )
![](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/d73d9aa53e2d496bb14e106d82289940.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c930dcbd1af033762395b6bd11111efe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72efe1e84e09ae9e29feb788da0a36c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f2be8f1e796226f1b0fa95f6aea35d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
4 . 已知
是奇函数,
是偶函数,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
5 . 已知函数
,且
与函数
互为反函数.
(1)若
的图象过点
,解不等式:
;
(2)在(1)的条件下,若对于任意
,都有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ede877f4dfa6b0a9a4c2e749e8fc27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/081cd41dab0f2a8f84b0e9f1df4843fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c54be9f6467a93e5dbd53d458fe730a3.png)
(2)在(1)的条件下,若对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8182356e4323a4dfe5ceb83caf347cd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2cd38c1c5561866cca19ef960e979bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
6 . 若函数
的定义域为
,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a035d457f9abe4549622145af2fa61d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
7 . 已知函数
.
(1)求
的值;
(2)若关于
的方程
有且仅有四个不相等的实数解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac8e3ef3d32ce77ede90dcc6aeeafa6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32a859898e9905e0524d3a982eb34b6.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3430c3a2918cca413fb9c21f12bdeb26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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名校
解题方法
8 . 若
是定义在
上的偶函数,当
时,
.
(1)求
的解析式;
(2)讨论
在
上的单调性,并用定义证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d028846b8614318fbf90387d13c75b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4544c8626f01deff908469a90504b2c7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
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名校
9 . (1)已知
,
,求
的值;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4acbfcddcbe6c972fd72b4f70d3b4d9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e2daaa1fa5ec6f35ad45262100f8edc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/916bb2cc1b29574ff95b47567c59ee0c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ca65d671f250571d8dab75b7f7a3cb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22242c6dabe267bf39a7d197d5cc6419.png)
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名校
解题方法
10 . 写出一个同时具有下列性质的函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
______ .
①
;②
为增函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b23478a1fcd7ba7a2a7adc61f20b1d6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2023-07-11更新
|
336次组卷
|
4卷引用:山东省高密市第一中学2023-2024学年高一上学期冬学竞赛数学试题
山东省高密市第一中学2023-2024学年高一上学期冬学竞赛数学试题山东省烟台市2022-2023学年高二下学期期末数学试题(已下线)第04讲 4.4对数函数(2)-【帮课堂】(已下线)第1讲:因式分解、指数运算与对数运算【练】