名校
1 . 已知函数
,若曲线
上存在两点,这两点关于直线
的对称点都在曲线
上,则实数
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba985ec4776491408c8dee49323f4f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b29a7faa14a6e09d0db2d04f4ced03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc6e69ad1a27916fb5c3d5901ded134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2017-06-11更新
|
2027次组卷
|
4卷引用:福建省泉州市2017届高三(5月)第二次质量检查数学(理)试题
福建省泉州市2017届高三(5月)第二次质量检查数学(理)试题广东省汕头市金山中学2024届高三上学期第一次模拟考试数学试题辽宁省沈阳铁路实验中学2018-2019学年高二下学期期中考试数学(理)试题(已下线)专题2-1 函数性质及其应用(讲+练)-3
名校
2 . 函数
.
(Ⅰ)讨论
的单调性;
(Ⅱ)若
且满足:对
,
,都有
,试比较
与
的大小,并证明.
![](https://img.xkw.com/dksih/QBM/2017/6/10/1706162897731584/1706691461079040/STEM/82a01a4ab57b402792009c57c60589a3.png?resizew=164)
(Ⅰ)讨论
![](https://img.xkw.com/dksih/QBM/2017/6/10/1706162897731584/1706691461079040/STEM/e753095625ff452a93fd6759c3d989bb.png?resizew=36)
(Ⅱ)若
![](https://img.xkw.com/dksih/QBM/2017/6/10/1706162897731584/1706691461079040/STEM/110d2a9ce68a44e49b732b73280597fa.png?resizew=37)
![](https://img.xkw.com/dksih/QBM/2017/6/10/1706162897731584/1706691461079040/STEM/72a60cdb8a52472c98891587afee92b0.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2017/6/10/1706162897731584/1706691461079040/STEM/243ede4294d54d9d936d700d979c0724.png?resizew=68)
![](https://img.xkw.com/dksih/QBM/2017/6/10/1706162897731584/1706691461079040/STEM/1318ec3a4ee541c4805b71443d8b9fb8.png?resizew=169)
![](https://img.xkw.com/dksih/QBM/2017/6/10/1706162897731584/1706691461079040/STEM/c6510d5c5b6644acad76ca5b3f32e042.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2017/6/10/1706162897731584/1706691461079040/STEM/e223ec1eec1a4a1d908dc1934ccd2649.png?resizew=29)
您最近一年使用:0次
3 . 已知函数
为
的导函数.
(Ⅰ)令
求
的单调区间;
(Ⅱ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7694913d438b5075bea3515738ac32de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(Ⅰ)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8211749eaa81821bd9738d067f441b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(Ⅱ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b727fae2e8d5648700d3b39dfc7860f.png)
您最近一年使用:0次
4 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebdb25f3eebf5e0314999c8aa7ed43d1.png)
,
在
和
处取得极值,且
,曲线
在
处的切线与直线
垂直.
(1)求
的解析式;
(2)证明关于
的方程
至多只有两个实数根(其中
是
的导函数,
是自然对数的底数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebdb25f3eebf5e0314999c8aa7ed43d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bbf3854307b2b6ab937a3e3e40e05a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/971905ea129aec0ca7c325f60260c7e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd86badb20015aa65328fda1e43a117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a241d6ef06bc899a9dbb28b62c0aec5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512f4c29ff276b7f35052ad4cc255ab5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)证明关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9857fdafea0bb1b836c9bcf1d735d71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
您最近一年使用:0次
2017-05-16更新
|
945次组卷
|
2卷引用:福建省三明市2017届普通高中高三毕业班5月质量检查数学(文)试题
名校
5 . 已知函数
在
处的切线方程为
.
(1)求
的单调区间与最小值;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e2dcaf9ab62fb0251f0f6e5e7d87d6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c887da0c850acf41ab249cc262ae39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/306b6e79f39d396ad32493c62224d8b8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b5667c0ed1db3b4c34c8978d7b2d362.png)
您最近一年使用:0次
2017-05-09更新
|
1905次组卷
|
5卷引用:福建省泉州市2017届高三高考考前适应性模拟(一)数学(理)试题
名校
6 . 已知函数
,其中
为自然对数的底数.
(1)函数
的图象能否与
轴相切?若能与
轴相切,求实数
的值;否则,请说明理由;
(2)若函数
在
上单调递增,求实数
能取到的最大整数值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c8b007d1a1a9c15ae78ae329f113c9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c3a071e25281dee9a0ef0b75dd550c2.png)
(1)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fc3658b6ac8f93da2da065c0a11abfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2017-04-29更新
|
207次组卷
|
2卷引用:福建省莆田第六中学2017届高三下学期第二次模拟数学(理)试题
7 . 已知点
,直线
,直线
垂直
于点
,线段
的垂直平分线交
于点
.
(1)求点
的轨迹
的方程;
(2)已知点
,过
且与
轴不垂直的直线交
于
两点,直线
分别交
于点
,求证:以
为直径的圆必过定点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/055a2ef09e2ee0948cf67c58de58732d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4180dae966f648d368a10edf3b7e3c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce033e15979e60b3214046f7f4de489.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6385dacd278b18cf3bc0bff5db8ff310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
您最近一年使用:0次
名校
8 . 已知函数f(x)=(ax-1)ex,(a∈R).
(Ⅰ)讨论f(x)的单调性;
(Ⅱ)当m>n>0时,证明:men+n<nem+m.
(Ⅰ)讨论f(x)的单调性;
(Ⅱ)当m>n>0时,证明:men+n<nem+m.
您最近一年使用:0次
2017-04-11更新
|
1045次组卷
|
8卷引用:2017届福建省高三4月单科质量检测数学文试卷
2017届福建省高三4月单科质量检测数学文试卷河北省定州中学2017届高三下学期第二次月考(4月)数学试题湖南省岳阳市一中2018届高三上学期第一次月考数学(文)试题陕西省吴起高级中学2018届高三上学期期中考试数学(文)试题陕西省宝鸡中学2019届高三年级第二次模拟数学(文科)试题【市级联考】陕西省宝鸡市2019届高三高考模拟检测(二)数学(文科)试题安徽省阜阳市太和中学2021届高三下学期高考押题文科数学试题(已下线)专题3-6 导数压轴大题归类(1)-2022年高考数学毕业班二轮热点题型归纳与变式演练(全国通用)
名校
9 . 已知函数
.
(1)若
不存在极值点,求
的取值范围;
(2)若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e860b71735cb30eec2234d181ccbfa05.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb5f421939ee855f25927e7570d82c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a709ded44cca797f3cd134406271ae3.png)
您最近一年使用:0次
2017-04-11更新
|
998次组卷
|
2卷引用:2017届福建省高三4月单科质量检测数学理试卷
名校
10 . 已知
,则“
”是“
”的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/729f4cbf2db857ea9d9d5876c458981b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/989c21816ba5a1143da799bf053a4a5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc7094e5d0a0ab242546a40e121bb0a3.png)
A.充分不必要条件 | B.必要不充分条件 | C.充分必要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2017-04-11更新
|
1803次组卷
|
10卷引用:2017届福建省高三4月单科质量检测数学理试卷
2017届福建省高三4月单科质量检测数学理试卷河北省武邑中学2017届高三下学期二模考试数学(文)试题福建省泉州市安溪第一中学2024届高三下学期4月份质量检测数学试题河北省定州中学2017届高三下学期第二次月考(4月)数学试题福建师范大学附属中学2020-2021学年高二(实验班)上学期期中考模拟试卷数学试题广东省广州市2023届高三冲刺(一)数学试题江苏省扬州中学2023届高三下学期5月适应性考试数学试题安徽省宣城市2020-2021学年高二上学期期末理科数学试题安徽省安庆市怀宁中学2020-2021学年高二(实验班)上学期第二次质量检测理科数学试题(已下线)专题1-2 简易逻辑(讲+练)-3