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1 . 下列各组函数是同一函数的是( ).
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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解题方法
2 . 若偶函数
的定义域为R,且在区间
上单调递减,则满足
的x取值范围是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75e8e1c23498053dece274fc224982d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccb6709397f8675168adafdda4986121.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 已知函数
的解析式为
.
![](https://img.xkw.com/dksih/QBM/2021/11/26/2859740900343808/2861983710756864/STEM/2e75a0d2fa2f407a99e9164894a420bd.png?resizew=419)
(1)在给定的直角坐标系内作出函数
的图象(不用列表);
(2)由图象写出函数
的单调区间,并指出单调性;
(3)当
时,判断
的单调性并进行证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3028794c5fb05835082298538b77e94e.png)
![](https://img.xkw.com/dksih/QBM/2021/11/26/2859740900343808/2861983710756864/STEM/2e75a0d2fa2f407a99e9164894a420bd.png?resizew=419)
(1)在给定的直角坐标系内作出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)由图象写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a6330540758a21f46fc7a6d1e6328d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2021-11-29更新
|
807次组卷
|
2卷引用:重庆实验外国语学校2021-2022学年高一上学期期中数学试题
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解题方法
4 . 函数
的定义域
且
,对定义域D内任意两个实数
,
,都有
成立.
(1)求
的值并证明
为偶函数;
(2)若
时,
,解关于x的不等式
.
(3)若
时,
,且不等式
对任意实数x恒成立,求非零实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6707ac168a79a883391ad0474dd5bdca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deb6b03f559451f20676eeefbc905a5e.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/aae89402bada80f4b7ee48cef6462cf0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32822a106d217ffdec43557a236f786.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c79b9dee1fee3370111559a06857094.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd7c59219ce621e0ddb45d5f52c59103.png)
您最近一年使用:0次
2021-11-29更新
|
562次组卷
|
2卷引用:重庆实验外国语学校2021-2022学年高一上学期期中数学试题
名校
5 . 已知函数
满足:
.
(1)求
的解析式;
(2)设
,且
的最小值为3,求实数a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a2d198eac24c2829a826123a1f74c46.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/576c394090ef70a4e782a79e1f61e7a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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解题方法
6 . 已知定义在R上的单调递增函数
是奇函数,当
时,
.
(1)求
的值及
的解析式;
(2)若
对任意
恒成立,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0374a48369b44b13e6cf075959ddbe0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075a3a6a5475ed5e31752ed07118e84b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
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7 . 对于任意实数
,
均能写成的整数部分
与小数部分
的和,其中
称为
的整数部分函数,
称为
的小数部分函数,即
. 比如
,其中
;,
,则下列的结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ab85825d4a002600ca41bd3cd2ee7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda2bc2e6a5eaf4fa5ff901985dd0e53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ab85825d4a002600ca41bd3cd2ee7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda2bc2e6a5eaf4fa5ff901985dd0e53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac21cde1e074dd30c087b930c71516c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d54dcaa08b944a66faa980d8db9d4514.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/848a8fcb2f61fb1d2f5203dc6969fec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7c35ea6b0711935f7609a494c858a82.png)
A.![]() | B.![]() |
C.![]() | D.存在![]() ![]() |
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2021-11-25更新
|
380次组卷
|
3卷引用:重庆市育才中学2021-2022学年高一上学期期中数学试题
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解题方法
8 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd2c5333d912e43324acbc7acbb68bcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a42fb424aba351610353aaa4834b6762.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 下列函数中,在定义域上是单调函数的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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10 . 已知函数
(其中
且
),且
.
(1)求函数
的解析式;
(2)试判断
的奇偶性,并证明;
(3)设
,请直接写出
的单调区间(无需证明).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4b1c894630c13c2f754cb59fe942d8.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/32d1b5c221eae7af0c935cac8bb124f5.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3bf8874c864ef657754e33d3089d9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
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