名校
1 . 已知函数
的最大值为2,其部分图象如图所示,则下列判断错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a3080cc97928ed7cef5bd7edbb5bbeb.png)
A.![]() |
B.函数![]() |
C.若函数![]() ![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
名校
解题方法
2 . 已知函数
.
(1)当
时,试求函数图象在点
处的切线方程;
(2)若函数
有两个极值点
、
;
(ⅰ)求a的取值范围;
(ⅱ)不等式
恒成立,试求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cdcd099fd8cc0a68212f70af3d9fedc.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffd888afdcfdb3e91a157d50f65e915e.png)
(ⅰ)求a的取值范围;
(ⅱ)不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1f9fa86fe5015298d7ef9f51cc31207.png)
您最近一年使用:0次
3 . 函数
,关于x的方程
有且只有2个解,则k的取值范围______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e99ccf67548303309f242ef7b455100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e4828f7342d67468adef4ed54fbf10.png)
您最近一年使用:0次
名校
4 . 已知函数
,
(1)当
时,求
在点
处的切线方程;
(2)当
时,讨论函数
的单调性;
(3)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db4772b69daa1fea8f8453108b82b6e4.png)
(1)当
![](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/e9945346a0127e2bd8e8034438f81676.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e15cbd7c42d7b15d7ba8d2b28ab8df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b7f33f1ccb849eed3dca12eb9d203b5.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
5 . 若方程
在区间
上有解,其中
,则实数
的取值范围为______ .(结果用
表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed46f245edca7a8eeaf9758261c80039.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd8308f32b892e39edd5d8014f9bfcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.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
6 . 已知双曲线
的左焦点为
,过
作渐近线的垂线,垂足为
,且与抛物线
交于点
,若
,则双曲线的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6dc791ae552024ea0df7905bf190f30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cf9ac6d3ec83e47dd226142d13cfec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93c793668a9c578f59692c57e90d4779.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
7 . 设函数
,若函数
与直线
有两个不同的公共点,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/750e5f4b836f005066e7843d71f47a8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1447dbe580ac5c825776995118e75acf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
8 . 已知函数
,(
为自然对数的底数).
(1)求曲线
在
处的切线方程
(2)若不等式
对任意
恒成立,求实数
的最大值;
(3)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8294bb352cef50b3a8961fcf0474aa6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e69e0bad37111c1169746941ac1f833.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f47dd5fc03cf0d593fcf67b5d18d1c2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f2416d1f75a45a314331146550832e.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bac345bdfae4f716fde3946ed3708c2.png)
您最近一年使用:0次
名校
9 .
,若
有且只有两个零点,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3674866b157f3e7912b53c9cb3e8cee3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/151a63686f67da8d0534026099971755.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
10 . 已知双曲线
的左、右焦点分别为
、
,经过
的直线交双曲线的左支于
,
,
的内切圆的圆心为
,
的角平分线为
交
于M,且
,若
,则该双曲线的离心率是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04fcc5ec265884288515338b828a418c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5eb2485f90dbfd0dfd6e7d179a856f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f248266bcff70c440317feccf475f3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1eb15d354e4ef64e6f4297edc8acd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eb9501525f03a072cec39900cd3a47a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/577038bb08b939d9df231583107ba327.png)
A.![]() | B.![]() | C.![]() | D.2 |
您最近一年使用:0次
2024-03-03更新
|
1351次组卷
|
3卷引用:天津市南开中学2023-2024学年高三下学期第五次月考数学试题
天津市南开中学2023-2024学年高三下学期第五次月考数学试题2024届广东省(佛山市第一中学、广州市第六中学、汕头市金山中学、)高三六校2月联考数学试卷(已下线)第1题 双曲线的离心率问题(5月)(压轴小题)