名校
解题方法
1 . 对于函数
.
(1)探索函数
的单调性并用定义证明;
(2)是否存在实数a使函数
为奇函数?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bba495106dbf0d5283cf1704a126535.png)
(1)探索函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)是否存在实数a使函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
名校
解题方法
2 . 已知一次函数
满足
,
.
(1)求这个函数的解析式;
(2)若函数
,
恒成立,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e08dd6a66b4bed25085a0b23e0329b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cef51bbd24e755207e3e6fa457d7d0b.png)
(1)求这个函数的解析式;
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b3ce55733ef12e190ddc46f1e751d61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14484b278244b9c801ad313d7d8b51fd.png)
您最近一年使用:0次
名校
3 . 计算下列各式的值:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fff9077e48b816659c33aa6a2773aa6c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137d3a2584863c0917fbaea7e3af1273.png)
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名校
4 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd6b21d6ea61baabaa23e987f9268e0f.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd6b21d6ea61baabaa23e987f9268e0f.png)
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名校
解题方法
5 . 不等式
的解集为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c01c1b65bd70bc47b3a7adfa576a0d2.png)
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名校
6 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e0e06a8c2598300c04e19c79d4315f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/005a0448fdd1bcbdae6ef815d098da5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e5e1e33c1259195f7bb0198a3e6f65a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
7 . 已知函数
,若
,且
,则下列结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/495178459610978c1c122b66002af102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2714f1eb0e74a1a31fa2c35275d368e1.png)
A.![]() | B.![]() |
C.![]() | D.![]() ![]() |
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8 . 已知
,
,则函数
的值域为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbff1348244c9a5eaa2876be9b252d0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8394e938a696222a8df1336dbb7ebb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0499c9b76ba048406bd4f67ea5815db4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
9 . 定义域为
的函数
的图象关于直线
对称,当
时,
,且对任意
,有
,
,则方程
实数根的个数为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a18ca67c2770b98f36dbfd802595a95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78132753bd0d62932f7ff62a7046f7ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2944f053d4c9a7813b2c4f05e7eb0d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0ab2c3eeb8955e66634d9893b8d63a1.png)
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解题方法
10 . 定义域为
的奇函数
只能同时满足下列的两个条件:
①
在区间
上单调递增 ②
③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/321b6c58f9bcbbcf99ba037e3bd4497a.png)
(1)请写出这两个条件的序号,并求
的解析式;
(2)判断
在区间
的单调性,并用定义证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67c0122f73d46e088836e3e8e90133c5.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe20dc0f6fd4e876ad7b1219479ee186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/321b6c58f9bcbbcf99ba037e3bd4497a.png)
(1)请写出这两个条件的序号,并求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e1c9c97de9198d47306216e9961b80.png)
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2024-01-27更新
|
105次组卷
|
2卷引用:云南省保山市腾冲市第八中学2023-2024学年高一下学期开学考试数学试题