1 . 设
且
,若关于
的方程
有两个实数根,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73d1f6649c1e16ebb7e8489730dbaac1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
2 . 已知函数
,则下列结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ae06c488100e31570805778b1d322e4.png)
A.![]() ![]() |
B.函数![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
您最近一年使用:0次
解题方法
3 . 已知函数
,
的零点分别是
与
.
(1)若
,解不等式
;
(2)已知
,
①证明:
;
②若
,
满足
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3023e7cb9c12cd7789dd5babcbc81bfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460fb23be742df604c9e3acbadb975d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c97b49ac1c01655ddceb48cc71585f62.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
①证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d755a0a76e2102eb6e29db34df0903dd.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/123371927e0a2f94563eb7321039dfbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ceddc345bfa05b7c0c61ec02470188a.png)
您最近一年使用:0次
名校
4 . 若函数
的四个零点从小到大恰好构成等差数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eea8efd15d255c00a2ee1a7536fd3a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
您最近一年使用:0次
名校
解题方法
5 . 若函数
在
上有且仅有一个极值点,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d20f24c2271f7ee9760b3b4ab3970751.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e88ebfb5c0d6cce558b515be06404d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
6 . 已知函数
.
(1)若
在区间
上单调递增,求
的取值范围;
(2)若
,函数
,且
在
上的最大值为
,证明:方程
在
上恰有两个不相等的实数根.
参考数据:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b6bf0c3f6c4e5f402f44efcfe5b5b2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2a5e336b6bcba6354fd366c892dd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91741080a27ded1282df77900c0dd2c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d51992c05a557cf6058664f1f8961e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbdd2396683477aac90d9797fdb84de7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/954e13465f6307afde8295c0cc160891.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55cfcbb5c5950e18a8452b38bb17036.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/861a1138518c15e9d326e5b53e728346.png)
您最近一年使用:0次
7日内更新
|
189次组卷
|
2卷引用:河南省濮阳市2023-2024学年高二下学期期末学业质量监测数学试题
23-24高二下·上海·期末
解题方法
7 . 已知椭圆
,抛物线
.若直线
与曲线
交于点
、
,直线
与曲线
分别交于点
、
.当
时,则称直线
是曲线
与
的“等弦线”.
(1)求椭圆
的离心率;
(2)直线
同时满足以下两个条件:①直线
经过原点②直线
是
与
的“等弦线”.请求出
的方程;
(3)已知点
,
,证明:过点
存在
与
的“等弦线”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8182955e08c6b0f37dff638dddf38a98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbd6bbdea60f11133f9004d242c81ca4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce30fc0664cca88dbe6d38f32aee81e6.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aaafb050b24c4e806c480e0665aaa5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cd82bf82c3254c27b00f65b9a697e0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce30fc0664cca88dbe6d38f32aee81e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aaafb050b24c4e806c480e0665aaa5a.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce30fc0664cca88dbe6d38f32aee81e6.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce30fc0664cca88dbe6d38f32aee81e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aaafb050b24c4e806c480e0665aaa5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d227daf0c0cf6822f3888e3f3de5f10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bd62d197e1e52522c1c0347767eec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce30fc0664cca88dbe6d38f32aee81e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aaafb050b24c4e806c480e0665aaa5a.png)
您最近一年使用:0次
名校
8 . 若函数
有两个不同的零点,则实数
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f324645c18e86aa94cfb603600aeca38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
9 . 已知函数
有三个零点,求
的取值范围______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb8449783d0c6101a3933ccef7543602.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
10 . 已知函数
,
,若存在实数
使
在
上有2个零点,则
的取值范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7fceb2c73d92d7c3abfc70f9bde2b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7ce9120a714c2fb1f2bded90416be4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b7c2420c387be8882df4359ac10b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30e62a68c0dfbfdda7bee162408768ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
7日内更新
|
369次组卷
|
5卷引用:专题05导数及其应用--高二期末考点大串讲(沪教版2020选修)
(已下线)专题05导数及其应用--高二期末考点大串讲(沪教版2020选修)上海市川沙中学2023-2024学年高二下学期期中考试数学试题辽宁省沈阳市东北育才学校2023-2024学年高二实验部下学期阶段检测二(6月)数学试题(已下线)专题05导数及其应用全章复习攻略--高二期末考点大串讲(沪教版2020选修)(已下线)专题10 函数的零点问题(一题多变)