1 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/19/d24822ea-be30-4efe-b9f9-bae358b30a5b.jpg?resizew=224)
(1)在坐标系下画出函数
的图象;
(2)求使方程
的实数解个数分别为
时
的相应取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/163c1b38be9ba29d6446e3ddb27f4953.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/19/d24822ea-be30-4efe-b9f9-bae358b30a5b.jpg?resizew=224)
(1)在坐标系下画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)求使方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4abe42e18da323d3147576da5ed72f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dedba68d16e6661cc981f576da4d3e62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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解题方法
2 . 函数
的定义域为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b4b012a6c75a8dc9a659fb58e9899ce.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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23-24高一上·四川成都·阶段练习
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3 . 已知
,
分别是关于
的方程
,
的根,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f947d030c265753e4201ae4d9c69e99.png)
________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b1817ab493cb249b431eabc77a7b302.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8be79e0451f3b863a119351680e9a6ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f947d030c265753e4201ae4d9c69e99.png)
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解题方法
4 . 若
在区间
上递减,则
的取值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90a0c1f647954878864f578ce800c414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be381da62d4a042476aa11dbd5824e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.1 | B.1.5 | C.2 | D.3 |
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5 . 函数
(
且
)的图象恒过点__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af365f65902a9ca4638f6d6d43f40bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
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6 . 已知定义在
上的函数
对任意实数
、
恒有
,且当
时,
,又
.
(1)求证
为奇函数;
(2)求证:
为
上的减函数;
(3)解关于
的不等式:
.(其中
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.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/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49074b2fc18e7edb1b3b6b4e6f9737c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/127d6695d33a50bad7d672680b851f99.png)
(1)求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(3)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88dd87e1476a40a3a8c44d6c886db050.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91a871ef7bf13de3e15489d65b57a3cc.png)
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解题方法
7 . 函数
的定义域是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad18866258e9dfa6f1a2481fcb4213cd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-01-17更新
|
727次组卷
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2卷引用:四川省宜宾市翠屏区2023-2024学年高一上学期12月统一测试数学试题
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8 . 若函数
的图象经过定点
,则函数
的单调增区间为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833a4386930f36196b42c729cb66bde4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82aaa597a5aa6176863eda3fdf83e181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca73483f2273233748c67fc417755b45.png)
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2024-01-16更新
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3卷引用:四川省宜宾市翠屏区2023-2024学年高一上学期12月统一测试数学试题
解题方法
9 . 下列各组函数中,表示同一函数的是( )
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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2024-01-13更新
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344次组卷
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2卷引用:四川省宜宾市翠屏区2023-2024学年高一上学期12月统一测试数学试题
10 . 已知某函数图象如图所示,则该函数解析式为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/3/b0dd0294-ee50-43c4-8c2b-c85a170ef670.png?resizew=154)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-01-13更新
|
295次组卷
|
2卷引用:四川省宜宾市翠屏区2023-2024学年高一上学期12月统一测试数学试题