名校
1 . 已知
,函数
,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e6404cd8d3bb839cccf6e4176c8fb9a.png)
A.![]() |
B.若![]() ![]() ![]() ![]() |
C.若函数![]() ![]() ![]() |
D.若![]() ![]() ![]() |
您最近一年使用:0次
2024-04-11更新
|
370次组卷
|
3卷引用:湖南省多校联考2023-2024学年高一下学期入学考试数学试题
名校
解题方法
2 . 已知函数
的值域是
,当
时,实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eadd634a5bf414e0d1d3af3db523698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa66623cf54b42d6d12be4c8edaa7071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/714e169b4a3968718c3c00b1b72d494d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
3 . 设定义在
函数
当
时,
的值域为_______ ;若
的最大值为1,则实数
的所有取值组成的集合为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a92ba8b43bebdf7d6c40917f4d3e110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/171f201e07264a66762063b0ecde3b06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
4 . 已知函数
的定义域为
,且
为奇函数,
为偶函数.令函数
若存在唯一的整数
,使得不等式
成立,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f74a1a70960d9f7877f777dfaaa1d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4571949578e4a2909aa3f767c9486ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/556fea39924cf9cb80a56dca980897a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f2b5c7f28e4f10145ce387ab8a76b48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
23-24高三上·北京西城·期末
解题方法
5 . 设
,函数
给出下列四个结论:
①
在区间
上单调递减;
②当
时,
存在最大值;
③当
时,直线
与曲线
恰有3个交点;
④存在正数
及点
和
,使
.
其中所有正确结论的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fea6820a9126b56ec980bd1b90ce47c.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3a34d6f60032718820c3da2b07786b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1447dbe580ac5c825776995118e75acf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
④存在正数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b811a28cdacf01a436319d318e61f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13e16cf125d8969d138b7db75b4b7e49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c350ad1d2263888a5a36a851f37c661.png)
其中所有正确结论的序号是
您最近一年使用:0次
名校
解题方法
6 . 已知函数
,若关于x的方程
有6个不同的实数根,则实数a的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7a4c2734c6c6b5866dcdfeb6c1a1445.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43bda073dbde59e709705a374f965c7d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-01-29更新
|
385次组卷
|
3卷引用:山西省运城市康杰中学2023-2024学年高一下学期开学考试数学试题
名校
7 . 已知函数
的值域为
,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dca072b33a81f7e6883925eb5d145ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efcd49beee8e494406bf89147c35d134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-01-24更新
|
322次组卷
|
3卷引用:河北省保定市清苑区清苑中学2023-2024学年高一下学期入学考试数学试题
名校
8 . 已知函数
,若方程
有5个不同的实数解,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018119c18c60fa07a4a59ac226cc7ec1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee3effb14057f3f022bb33b77584cd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-01-24更新
|
268次组卷
|
2卷引用:四川省内江市第六中学2023-2024学年高一下学期开学考试数学试题
9 . 已知函数
,当
时,记函数
的最大值为
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba65c137cfe1e307ac708b22eb34896a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75bde2e500fd5386e355db9040a1946d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a239d924a26dbc7f33052c63a20a327a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a239d924a26dbc7f33052c63a20a327a.png)
A.3.5 | B.4 |
C.4.5 | D.5 |
您最近一年使用:0次
名校
10 . 定义在
上的奇函数,当
时,
,其中
,且
,其中
是自然对数的底,
.
(1)求
的值;
(2)当
时,求函数
的解析式;
(3)若存在
,满足
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da3a6d011679952771607b3a166676b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/401fac6e7c32d142a86a7afa828e4b2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/810949b76573ccd9d43af3815299d443.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57d57d6918060460b61f4b3448bb03a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dcd143a57a268a5a8ef486e2a4d5c0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e0cc202753558c28d925d782b27198a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79cc799ccaa3e4c85094780b520a68cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3caba8eddb5dbb5940db14f837f39450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f21117c3a658c09a019b47e492fbe3.png)
您最近一年使用:0次
2024-01-22更新
|
158次组卷
|
2卷引用:山东省济宁市育才中学2023-2024学年高一下学期开学考试数学试题