名校
解题方法
1 . 已知函数
是奇函数.
(1)求
的定义域及实数a的值;
(2)用单调性定义判定
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b7b2c0c64c3fa5642376f58c496eacd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)用单调性定义判定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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名校
解题方法
2 . 设
,用
表示不超过
的最大整数,则
称为高斯函数.例如:
,
.已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4c607a62a8c3f1a29916f8fa0b8fb7f.png)
________ ,函数
的值域为_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](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/7179c645736d68c90023f83d7f11ed01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a6c086cd67c729ec094c21c0d45a5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04d0024c22d248668a379d8dd1b84cad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e6743dc8683554235543c456aa8be6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4c607a62a8c3f1a29916f8fa0b8fb7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92a5aa37427537837be7d77d51c84c6.png)
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解题方法
3 . 设函数
,其中
.
(1)若命题“
”为假命题,求实数
的取值范围;
(2)若函数
在区间
内恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa1f9cde354a83e85eb252d97d383c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51159984b2cb00f30b3986315019623.png)
(1)若命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcf44939777c747005f08ddc790f22b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f8bd074415eea5bb0764011d78a908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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解题方法
4 . 已知函数
是
上的增函数,则
的取值范围是__________ ;
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c773fd08896fac704c74b382ce48e27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2372f424431ce7b547a66b7d61d75421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4886e28e9ecd40f7edd25f25bde28453.png)
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名校
解题方法
5 . 存在定义域为
的函数
满足( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.对任意的![]() ![]() ![]() |
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名校
解题方法
6 . 设函数
已知
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a430425e383f6de01453211a09db938.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/951836ef5e4cfd3689a94810e0f8d43d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67afd34495f2c2c3fe2deec14e1b4b6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94c21734265a5c61ed1d4d8c00b0464e.png)
A.1 | B.0 | C.2 | D.![]() |
您最近一年使用:0次
名校
7 . 已知函数
,
,
.
(1)当
时,判断函数
的奇偶性并证明;
(2)当
且
时,利用函数单调性的定义证明函数
在
上单调递增;
(3)求证:当
且
时,方程
在
内有实数解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0cc9b1b321520eae2bf944a9c85c9ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19339e3904e9541ff26b30ae5f1242b2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657435e1fda84118e7f63c97505c8b75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
(3)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91a871ef7bf13de3e15489d65b57a3cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99caed81bfb141d6e7dac8f6fe9db069.png)
您最近一年使用:0次
名校
8 . 对
,
,记
,则函数
的最小值为 __________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19339e3904e9541ff26b30ae5f1242b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd1a047dd9d765dc82f2f763caac067e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d428a93b139b018801310ca3fb07ab.png)
您最近一年使用:0次
2024-04-02更新
|
425次组卷
|
3卷引用:陕西省宝鸡市宝鸡中学2023-2024学年高一上学期期中考试数学试题
2022高一上·全国·专题练习
解题方法
9 . 已知函数是定义在
上的奇函数,且当
时,
,则函数
的零点个数是( )
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
名校
解题方法
10 . 数学上,常用
表示不大于x的最大整数.已知函数
,则下列正确的是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c2de8652906267bb985d9e3aab3771.png)
A.函数![]() | B.函数![]() |
C.函数![]() ![]() | D.不等式![]() ![]() |
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