2024高三下·全国·专题练习
解题方法
1 . 已知函数
,则满足
的x的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0046ac5328dc5aab237e0df4aaf7bb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a438b21d04547d3829b10954033ddc.png)
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解题方法
2 . 函数
的值域为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76fa3c37cabebaae55e24e9f63b881c6.png)
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解题方法
3 . 若闭区间
满足:①函数
在
上单调;②函数
在
上的值域为
,
,则称区间
为函数
的
次方膨胀区间. 函数
的2次方膨胀区间为_____________ ;若函数
存在4次方膨胀区间,则
的取值范围是_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b91393ddcf411f513b77caad29a31cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6724c68c4206bd95683998d800f7f676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a993d222157197c263ae4a8255228a69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00c4821d3e69fbb6a1f8d0afe0d725f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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23-24高一下·北京·开学考试
解题方法
4 . 若函数
在定义域内的某区间M上是增函数,且
在M上是减函数,则称函数
在M上是“弱增函数”,则下列说法正确的是_____
①若
,则存在区间M使
为“弱增函数”
②若
,则存在区间M使
为“弱增函数”
③若
,则
为R上的“弱增函数”
④若
在区间
上是“弱增函数”,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcefe4226775a51423e4447956ad2347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318a16f1950d06e5500c76d8f81a507f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca3fd09aa6bd2c73f713869a28e38e30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e1c02320bdeab69e3377ae393306992.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/355db975c6da8903a4a75ff5f23b92f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/187d8df1f4c4673d12c1d0608534de23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
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解题方法
5 . 已知幂函数的图象经过点
,那么
的解析式为______ ;不等式
的解集为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c00afbd1e813ba1fcee4d9581442b80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65711fe7bd2d1c10774871f170292211.png)
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解题方法
6 . 已知幂函数
在
单调递减,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a259f1d9045db28ada3cbe2ff4b0608a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
7 . 幂函数
满足下列性质:(1)对定义域中任意的
,有
;(2)对
中任意的
,都有
,请写出满足这两个性质的一个幂函数的表达式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62826e5114ece563439421509970dc12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9f58d4591d668b4bc32fae4faab8298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd477d0829771f12b1adfc4671331e54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
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名校
解题方法
8 . 已知函数
,若
,则实数
的取值范围是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d0ec1f297266549f3b8b9eb057d48e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/425afd795d2a0234310513f3d3450052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-01-23更新
|
312次组卷
|
4卷引用:广东省高州市某校2023-2024学年高一上学期期末学情数学练习卷
解题方法
9 . 下列幂函数在区间
上是严格增函数,且图象关于原点成中心对称的是______ (请填入全部正确的序号).
①
; ②
; ③
; ④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6534777c164d9da542e2c505bdba8e0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b87e78256e9afeb56ef82106e9d895.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e87b5d998252950639557ec2b8946d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b29aac7c8c97ab5690f529100362bf36.png)
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23-24高一上·上海浦东新·期末
名校
10 . 若一个幂函数的图像经过点
,则它的单调减区间是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c50ef9879e7c1b46784c80982e9fb77.png)
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