1 . 已知幂函数的图象过点
,则函数的解析式为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0f0d82308db0868690c7d65935b79ae.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-05-14更新
|
439次组卷
|
3卷引用:第03讲 幂函数与二次函数(八大题型)(讲义)
2024高三·全国·专题练习
2 . 已知函数
的图象经过定点
,且幂函数
的图象过点A,则
=________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bafb76194708566cc83b75f226e4ac1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7c1eba6af0a2bfe986d404c0dc9eb48.png)
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3 . 若幂函数
的图象经过点
,则
=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b00232b29c9fe2cc1b3f8bcb4dcaad1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1586c6166cfdcb7b4d649865cde93d1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97d9df4abe5e2a65062b9ff7e8be644f.png)
A.![]() | B.2 | C.4 | D.![]() |
您最近一年使用:0次
名校
4 .
(
且
)的图象恒过定点
,幂函数
过点
,则
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd4ea1b455811d3ab9e6b426eed71f6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7c1eba6af0a2bfe986d404c0dc9eb48.png)
A.1 | B.2 | C.3 | D.4 |
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解题方法
5 . 已知幂函数
的图象过点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b65cd5667c0f00a5027a0edcb5e685e.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdcab21ad21ee16b2167751eaebd204c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b65cd5667c0f00a5027a0edcb5e685e.png)
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6 . 已知幂函数
为偶函数,若函数
在区间
上为单调函数,则实数a的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/484a7b3614f4676d2665591a3a556f94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2db2ea9c169b1588651b0735acbdb1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
7 . 已知指数函数
和幂函数
的图象都过点
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f947d030c265753e4201ae4d9c69e99.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1c32fc37ab1537855ad84408e95398f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df75355b6eb9be562f92ffcbfc5bc773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f947d030c265753e4201ae4d9c69e99.png)
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2024-01-26更新
|
314次组卷
|
3卷引用:4.2.1指数函数的概念
解题方法
8 . 已知幂函数
在
上是增函数.
(1)求
的解析式;
(2)设函数
,求
在
上的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eef36f7d9af3b6b5bc0ff03103a672f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45eda636cb34f633901c1acd38481623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7242b2ab643f9470da77e29d043b893.png)
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2024-01-22更新
|
218次组卷
|
3卷引用:4.4.2对数函数的图象与性质(第3课时)
(已下线)4.4.2对数函数的图象与性质(第3课时)广东省清远市2023-2024学年高一上学期期末教学质量检测数学试卷广东省珠海市第一中学平沙校区2023-2024学年高一上学期期末教学质量检测数学试题
9 . 请写出一个满足对任意的
;都有
的函数__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42fd7af568e3d9f444beb0ff41426477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d95d85eb6b07dc97d10074202fb8a1f1.png)
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解题方法
10 . 已知
是整数,幂函数
的定义域为R
(1)求
的解析式;
(2)记函数
,求证:函数
在
上为严格增函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/697ffa6292e574a19d4be98595d9ed78.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)记函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8efe62661f613dc56c3e898bd1c1cad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
您最近一年使用:0次