1 . 已知函数
可用列表法表示如下,则
的值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a01761055eb0cda43d8924965c371a9.png)
1 | 2 | 3 |
您最近一年使用:0次
2023-01-12更新
|
328次组卷
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2卷引用:北京市第十二中学2022-2023学年高一上学期期末试题数学试题
2 . 已知集合
,
,请用解析式法 写出一个从集合
到集合
的函数(注意不要 写常数函数和分段函数形式,并注意定义域 )__________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d0f3260e5d600f0af9d9b705697d415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06ad3e9e3b0c18d924b8c5ee583e67ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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3 . 已知对于任意两个实数
,都有
成立.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf1644dc8ce444930d96b4b621233c0f.png)
___________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e49e93bd6b984195fed0e6b6edb212ba.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0c6f119137e1b6760d55956d99d963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20e7e2521bc77d291d6bcbd1195c865c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf1644dc8ce444930d96b4b621233c0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e49e93bd6b984195fed0e6b6edb212ba.png)
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4 . 函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca9e0dcfe20e16312dd0f390fa78529c.png)
___________ ;若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28c3d4a8375f117f45aa600829b687b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca9e0dcfe20e16312dd0f390fa78529c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f5239083df5811fed90c4e72f70647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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5 . 已知函数
的定义域是
,满足
,且对于定义域内任意
,
都有
成立,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9471b4864932cd4ea3410c5bb85e71b.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92682840e2a230de346562b2032f8adb.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/241553167658572549705dda8cd7c207.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/25bea6d14c16f7c06e4e028f36131360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9471b4864932cd4ea3410c5bb85e71b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92682840e2a230de346562b2032f8adb.png)
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解题方法
6 . 已知函数
.
①
的函数图象关于__________ 对称;
②若存在唯一
,满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f2fef750437f48a94c1a84548d12b1.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②若存在唯一
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f07ad90ca228230b03f12eb48ee0c1d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4bd490565d10535cd5a968a4c88063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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7 . 定义
为不大于
的最大整数,如
,已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9b22f4d2bf060d8b93fea25b08ee270.png)
______ ,
的值域是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d53f21f2e7a69a371e7889e81f60b47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602c6c52cae281dc7dad9bc7cc07d6bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9b22f4d2bf060d8b93fea25b08ee270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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8 . 已知函数
,对任意
,满足
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212381ec0dbd7f351b18b78f2398ab3a.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54c50fb5615e36df436d747356b00d78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/941a6363086f58f37c4d02ec45f94043.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08cec9be1b24f0351f0839a1f22bab60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212381ec0dbd7f351b18b78f2398ab3a.png)
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9 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ebf3aff24da7563f133dfd6ad09deab.png)
___________ ;记
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942ee599631c2e71ef66a3c89bc0ff8c.png)
___________ .(用含有
的代数式表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4df728b7f5ae00f0d6bfc3709560738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ebf3aff24da7563f133dfd6ad09deab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b92cce5d534bb6ee876b6bed9e1b8ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942ee599631c2e71ef66a3c89bc0ff8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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解题方法
10 . 设函数
的定义域为R,且满足
,当
时,
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212381ec0dbd7f351b18b78f2398ab3a.png)
___________ ;当
时,
的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/842f77b092770653f2e8d757200a2ec1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b14d0c440da20a2472608f1eec52eb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a66062dbd4978a7bb2fb9b9aabb898af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212381ec0dbd7f351b18b78f2398ab3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b6113ed717a9c418f9436241712b581.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
2022-07-08更新
|
651次组卷
|
3卷引用:北京市朝阳区2021-2022学年高二下学期期末质量检测数学试题
北京市朝阳区2021-2022学年高二下学期期末质量检测数学试题(已下线)专题07一轮复习5种常考题型归类(集合逻辑不等式函数复数)【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(北京专用)安徽省马鞍山市当涂第一中学2022-2023学年高一下学期开学考试数学试题