1 . 已知
是定义在
上的偶函数,当
时,
,则
( )
![](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/2215ece47e22ff5f4ae6fa8f77fe1636.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1893ec3241bbeb7909e5a1ecfb7c1760.png)
A.![]() | B.0 | C.1 | D.2 |
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2023高一上·上海·专题练习
2 . 下列函数中,哪些是对数函数?
(1)
;
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980a4e54f218bbeecb6aa0caf97dbb5c.png)
(3)
;
(4)
;
(5)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969f2f61631def143fb4ab8918ce08fc.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980a4e54f218bbeecb6aa0caf97dbb5c.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48a8e6b7a717962cc1064a8f239229ab.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/193395e28ccacb43c9d69e8da62dd17a.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c8458f29d7376c0c6c5437fc5615c8d.png)
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名校
3 . 已知对数函数过点
,则其解析式为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e7d192c1c988462b773b36fe0bc169.png)
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名校
4 . 若对数函数
在
上严格单调递减,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dfd358d98542828da73890641044108.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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解题方法
5 . 已知函数
的图象经过点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ea1f5bdd213c7c3a571b4c38850bf1.png)
.则
的值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d2a119403159f251ca90d8b6f23ecbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ea1f5bdd213c7c3a571b4c38850bf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79485e42b7546ccfa3cd6d08491460f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f5377742ac6576cc73cb3f4fd54b8b5.png)
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解题方法
6 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c69303bd9eccb3ccb55c9e4cd03a8a3.png)
________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/269825e00dd4ca41ede8e1ab325d66ea.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edac288e0dd5b50980fde623a9a52755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c69303bd9eccb3ccb55c9e4cd03a8a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/269825e00dd4ca41ede8e1ab325d66ea.png)
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名校
7 . 已知函数
的图象与
,且
的图象关于
对称,且
的图象过点
.
(1)求函数
的解析式;
(2)若
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c4ca640296443f5119c6ae8f9ddba90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/081cd41dab0f2a8f84b0e9f1df4843fb.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e8ce93c53d0179da2fcd0376dcb2ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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8 . 已知函数
且
)的图象经过点
和
.
(1)求
的解析式;
(2)
,求实数x的值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b09b1af1a13c496a97e48d1573fe6d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df4cb551f5e092ab3f8ca2c0d75b3e53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0924ff22fff9f5639feb0ceeece80d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f22fc1058bae723d67524783bb59d3d.png)
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解题方法
9 . 函数
(
且
),下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a04546d92fd165fc1ad2cc82c2dbb25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
A.![]() |
B.函数![]() ![]() |
C.当![]() ![]() ![]() |
D.点![]() ![]() ![]() |
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2023高三上·全国·专题练习
10 . 下列说法正确的是( )
A.若![]() ![]() |
B.函数![]() ![]() |
C.对数函数![]() ![]() ![]() |
D.函数![]() ![]() |
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