名校
解题方法
1 . 下列叙述正确的是( )
A.若幂函数![]() ![]() ![]() ![]() |
B.命题“![]() ![]() ![]() ![]() |
C.函数![]() ![]() |
D.函数![]() ![]() |
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解题方法
2 . 下列结论正确的是( )
A.函数![]() ![]() ![]() |
B.![]() ![]() |
C.![]() ![]() ![]() |
D.定义在![]() ![]() ![]() ![]() ![]() |
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解题方法
3 . 已知函数
(
,且
),从下面两个条件中选择一个进行解答.
①
的反函数经过点
;②
的解集为
.
(1)求实数a的值;
(2)若
,
,求
的最值及对应x的值.
![](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)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bac7c28099bfbb7dc2a45ad166eace05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0878cff562bec40a7bd879f81e0c6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bea5cf29ff47f6c64f4537c425e0967f.png)
(1)求实数a的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2e2eab4171f9c3e73b0e0a1af336cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829f3fc2a6b50f762c8378283b56023f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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4 . 若函数
与函数
的图象关于直线
对称,则
的大致图象是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d54c10ea44db264253ff4181c6bc8bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
5 . 已知
分别是方程
与
的根,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fb0472640227048deec9f58dbd00add.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b8026743aad6a0a55ac5f4161741a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450398974b1561ca801e102e16df6789.png)
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6 . 函数
(其中
…为自然对数的底数)的反函数为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bf09969aa45affe19fd9514e72a0de3.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff6838d84b68c6f0d3b93b196d9b08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c07d7af2ede4abfa4d647b4058992d00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bf09969aa45affe19fd9514e72a0de3.png)
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7 . 设函数
的零点为
,函数
的零点为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfde4239dd688f5e24ef9fcee83d89bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6dbe0c39fe385941aa9a7b24421f78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
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2024-01-26更新
|
233次组卷
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2卷引用:河北省石家庄市2023-2024学年高一上学期期末教学质量检测数学试题
名校
解题方法
8 . 已知指数函数
的反函数为
.
(1)求函数
的解析式;
(2)已知函数
,求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/babb3ff0eabe0651b43db92dcc68c11d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e92c21afe43b0ed71be8bcffe1983760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e35de1e842df1a7c2daa0f75a3abd1c9.png)
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2024-01-20更新
|
484次组卷
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2卷引用:重庆市南开中学校2023-2024学年高一上学期期末考试数学试题
名校
9 . 下列命题不正确的是( )
A.函数![]() ![]() |
B.关于![]() ![]() ![]() ![]() ![]() |
C.函数![]() ![]() |
D.已知函数![]() ![]() ![]() ![]() ![]() |
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10 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827290d88582739dfed6ec47d20680cc.png)
且
的反函数为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827290d88582739dfed6ec47d20680cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/160181822356a5b4c80df2420a31ee23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1160d761b03754184419cd53cd3344f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89eea593c79973e97f6f3cdf621cdfc5.png)
A.![]() ![]() ![]() ![]() |
B.函数![]() ![]() ![]() |
C.若![]() ![]() |
D.当![]() ![]() ![]() ![]() |
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2024-01-12更新
|
295次组卷
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3卷引用:吉林省吉林市普通高中2023-2024学年高一上学期期末调研测试数学试题