解题方法
1 . 已知函数
,集合
.
(1)当
时,函数
的最小值为
,求实数
的取值范围;
(2)若
,当 时,求函数
的最大值以及取到最大值时
的取值.
在①
,②
,③
,这三个条件中任选一个补充在(2)问中的横线上,并求解.
注:如果选择多个条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a668d77ba4e8d4eb869b3b52d20029e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86c561683ebebdc982f8b6eb4f349cc7.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a668d77ba4e8d4eb869b3b52d20029e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
在①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
注:如果选择多个条件分别解答,按第一个解答计分.
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解题方法
2 . 已知函数
对任意
,总有
,且对
,都有
.
(1)判断并用定义证明函数
的单调性;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/225270bb7529de978c2769e663b3b012.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd384d86840b7b158af41f56fe29c7d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ad5963d0b41c2636e45b99381b6d7ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(1)判断并用定义证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1485f803378b310169297587a58c078c.png)
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3 . 化简求值
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfa86c4246c584d4b365eb889cfa696e.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfa86c4246c584d4b365eb889cfa696e.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3929be26c183897724a2032e004da558.png)
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4 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a30f01496ecffcbeddbcdc3d4b52f6.png)
_________ (用含有
的表达式作答);若对正数
有
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a11186577d9a1e0a37742de66121e1.png)
__________ (用数字作答).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e46a90ed13b2a7d6015c87025a10ec07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a30f01496ecffcbeddbcdc3d4b52f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6592edf9077e59296fa62ea70dd15826.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a11186577d9a1e0a37742de66121e1.png)
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5 . 设集合
,
,函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14b4b7d95e9fde43bab32a9bfaf94292.png)
_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f83e9c50cb62a42339b7a5a057411efc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d83ac065c29bbb0830f61d3a693e7c45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d14f93d456e334a33678c17bf682efd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14b4b7d95e9fde43bab32a9bfaf94292.png)
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名校
6 . 若幂函数
为奇函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
_____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8d833f0e0829a88492714801e55e4e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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2022-03-29更新
|
424次组卷
|
5卷引用:安徽省宿州市十三所重点中学2021-2022学年高一上学期期中联考数学试题
7 . 使得
的数
称为方程
的解,也称为函数
的零点.即
的零点就是函数
的图象与
轴交点的横坐标.已知二次函数
在
上有两个零点
,且
.下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36825543013336c9df727bc51ff62c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bab93efd42a3054040ccff8adf697c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
A.![]() ![]() |
B.![]() |
C.![]() |
D.![]() ![]() ![]() |
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2022-03-29更新
|
187次组卷
|
2卷引用:安徽省宿州市十三所重点中学2021-2022学年高一上学期期中联考数学试题
8 . 下列函数是同一函数的是( )
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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9 . 下列运算正确的有( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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10 . 已知函数
对任意实数
都有
,并且对任意
,都有
,则下列说法正确的是( )
![](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/1b3b657ebd1733b4f19dcbec44919924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eea83cc2a7b734d83a5100162a800dea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/717a1efcded39ade5c5e98eeb21013e4.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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