名校
1 . 已知函数
,对任意的
都有
,且
(其中e为自然对数的底数),则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5374e2dc5c05892cf4764b1c2943385.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feea6d40908de46a354022dd1a3ee321.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff804bf1d95b766710b36dfa8a4e764.png)
A.![]() | B.![]() |
C.![]() | D.![]() ![]() |
您最近一年使用:0次
7日内更新
|
146次组卷
|
2卷引用:安徽省合肥市第八中学2024届高三“最后一卷”数学试题
名校
解题方法
2 . 已知函数
在
上有且仅有5个零点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93c9beb1601a5032dbc12eafc6a982f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f96a23757dc485b91a6b78b496922b3.png)
A.![]() ![]() |
B.![]() ![]() |
C.当![]() ![]() ![]() |
D.当![]() ![]() ![]() |
您最近一年使用:0次
名校
3 . 已知函数
.
(1)若过点
可作曲线
两条切线,求
的取值范围;
(2)若
有两个不同极值点
.
①求
的取值范围;
②当
时,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b30e674c62fd9e25645b3984827759a6.png)
(1)若过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a948d2f7732d7f03e986c63712089b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e868d1326bf73ac658885d4936bbe04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7913a814e2c4ba5e643af885b6ff0efb.png)
您最近一年使用:0次
7日内更新
|
577次组卷
|
4卷引用:安徽省六安第一中学2024届高三下学期质量检测(三 )数学试卷
名校
解题方法
4 . 已知指数函数
,
,
的底数分别为a,b,c,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
A.当![]() ![]() |
B.在指数衰减模型![]() ![]() ![]() ![]() ![]() |
C.若a,b,c是三角形的三边长,则![]() ![]() ![]() ![]() |
D.若a,b,c是三角形的三边长,且![]() ![]() ![]() |
您最近一年使用:0次
名校
5 . 已知函数
.
(1)若曲线
在点
处的切线
与直线
垂直,求
的方程;
(2)若函数
在
上有2个极值点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ae1712b1825f819ed35bd993bb4430c.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf46dc84732526c826d84a71c407ea89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff17dabe0ec752d94fbe424b41aa1a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若函数
![](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/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-06-07更新
|
1135次组卷
|
2卷引用:安徽省A10联盟2024届高三4月质量检测考试数学试题
名校
6 . 已知函数
.
(1)求证:
至多只有一个零点;
(2)当
时,
分别为
的极大值点和极小值点,若
成立,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad43211ce1130a38a7b604b5db61b88.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f386803debe019dfca91cb18a09c1b1.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数
,且曲线
在点
处的切线方程为
.
(1)求
的极值;
(2)若实数
满足
,记
,求实数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3202de0354b5adcef860e4b821be086a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea9824af71c9da5db5a00ec06063024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/403cb45dea2e88997e02281a68523092.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84e83222280d951ccc5ed63429643430.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa0db28df46a7977c90d61a3676f92dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2024-05-22更新
|
939次组卷
|
3卷引用:安徽省皖豫名校联盟&安徽卓越县中联盟2024届高三联考5月三模数学试题
8 . 已知函数
,直线
在
轴上的截距为
,且
与曲线
相切于点
.
(1)求实数
的值;
(2)求函数
的单调区间与极值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b5a0bbf153ca63b5ee94a909254bc31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
名校
解题方法
9 . 已知函数
.
(1)求函数
的极值;
(2)若对任意
,都有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b491d82ef8cc6440ecf9c30ff89bf4d2.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48350c9f896c18a64f27867ca81c9be2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2942e2647554b44127bfce7b22f36a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-05-12更新
|
773次组卷
|
3卷引用:安徽省合肥市一六八中学2024届高三下学期最后一练数学试题
名校
10 . 已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)若
在定义域内是减函数,求a的取值范围;
(2)当
时,求
的极值点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/624c57b1f3b48da21ad42f731df63083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6aa5ec6172d70ab693efd6987d92301.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2024-04-15更新
|
1698次组卷
|
3卷引用:安徽省芜湖市安徽师范大学附属中学2024届高三第二次模拟考试数学试题
安徽省芜湖市安徽师范大学附属中学2024届高三第二次模拟考试数学试题安徽省天域全国名校协作体2024届高三下学期联考(二模)数学试题(已下线)安徽省天域全国名校协作体2024届高三下学期联考(二模)数学试题变式题11-15