名校
解题方法
1 . 幂函数
在区间
上单调递增,则实数
的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a1cd7acf975163924764b08c1239cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-03-06更新
|
177次组卷
|
2卷引用:江西省抚州市2023-2024学年高一上学期学生学业质量监测数学试题卷
解题方法
2 . 已知定义域为
的函数
满足对任意
,都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e378c159436eb968d2b03eedd0e67657.png)
(1)求证:
是奇函数;
(2)设
,且当
时,
,求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff68d7374e6f548d902f18ed6b6e8c3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/243a45670e2b2fe44496d3244ed5a68d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e378c159436eb968d2b03eedd0e67657.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab409bb25958c2f01c73e26042c6f51e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0527a896aec4a245945e5edee00deed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e800115ee291759e0dbc95fdc43b2.png)
您最近一年使用:0次
3 . 对于区间
,若函数
同时满足:①
在
上是单调函数,②函数
的定义域为
时,值域也为
,则称区间
为函数
的“保值”区间.
(1)求函数
的所有“保值”区间.
(2)函数
的一个“保值”区间为
,当
变化时,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57a73413293485eec898e382c345a2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28a1529190be96a75cc40bfd7d6b647e.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9292cd30c0ffa46bbbbb59e1a546a11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db527571cfd256c515424c6f9d114284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
您最近一年使用:0次
解题方法
4 . 已知函数
的图象为折线
,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/23/ce9eb3ea-70c2-4818-99ca-656a77900351.png?resizew=184)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff8c3119133de55710f68aef45befdca.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/23/ce9eb3ea-70c2-4818-99ca-656a77900351.png?resizew=184)
A.3 | B.4 | C.5 | D.6 |
您最近一年使用:0次
解题方法
5 . 若方程
在区间
上有实数根,则实数
的取值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5db3bbb092ce64d1092c284ddd01a367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd243fab0af865af67a2ab817e909cf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.0 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
6 . 若
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73254f32b6da29ecc32df2e9f87a4c97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1132de2e8913dba9c5cc2396ecb09fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c33608b1390d97e40f99637a77bc8a04.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
7 . 在用二分法求方程
的正实数跟的近似解(精确度
)时,若我们选取初始区间是
,为达到精确度要求至少需要计算的次数是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b40b5bd7473999e426415ab37659273a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/042e234d538bc2c789d7c5a314f1ca92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f18a2c66ac4517c8f5f91de632a054de.png)
您最近一年使用:0次
解题方法
8 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19a5c71c05f63352b457b63d925fde34.png)
(1)是否存在实数
使得关于
的不等式
的解集为
,若存在.求实数
的值或取值范围,若不存在,请说明理由;
(2)若关于
的不等式
的解集是
,集合
,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19a5c71c05f63352b457b63d925fde34.png)
(1)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc65d6eb9b63f96d80b54ec9893aee8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d462ed4ec22e8fe51f09eb30e8792532.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70ecd53c3a79ea63c676d238b1cd9eaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc887a6c34c3e2f859e6a59a9ed4cac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
9 . 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
10 . 设
则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/045f3195a439b2b426e759cde3aa644c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次