1 . 已知函数
(
),则函数
的最大值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ac9a839b199426d5d7bf13386fd36e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f274f1247962a5b263183922fedfa086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
2 . 已知数列
满足
,
.
(1)若
是递增数列,求实数
的取值范围;
(2)若
,且对任意大于
的正整数
,恒有
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fab51121848ce166035ceab6f4e00b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31d0b399e3826e2721d683a357fe5dd4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e144b442dc601367909266594699b10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaacfaef44a654c0a1c283ef03fc0550.png)
您最近一年使用:0次
解题方法
3 . 已知
.证明:
(1)若函数
有极大值
,则
;
(2)若函数
没有极值点,则对任意的
,都有
;
(3)若
,则
在区间
内有且仅有一个实数
,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e955fc202c38ef3a0f001ec665fd13.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7417645b760b0e03cfe0bcdaa6a1d93e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/133cb4bfa780967fce1ef6181f2cf545.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b06c7267bc6d924a744d4d6c1d46b36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6eab1a6c9644f88a05790e874bfe5ad.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08734d2b47153347ae80f6a59e308367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f803a468e5d66004e57372a5bf2c5e1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d7e6f67fb44c0d29eefe70b7b2f025.png)
您最近一年使用:0次
2021-11-05更新
|
510次组卷
|
3卷引用:浙江省绍兴市诸暨市2018-2019学年高三上学期期末数学试题
4 . 1.已知椭圆
的离心率为
,过焦点且垂直于长轴的弦长等于1
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/19/cc9b7092-8503-4945-b975-70144fe62f71.png?resizew=284)
(1)求椭圆的方程;
(2)直线
交椭圆于A,B两点,且AB被直线
平分.
①若
的面积等于1(O是坐标原点),求l的方程;
②椭圆的左右焦点分别是
,
,
,
的重心分别是
,
,当原点O落在以CD为直径的圆外部时,求
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/19/cc9b7092-8503-4945-b975-70144fe62f71.png?resizew=284)
(1)求椭圆的方程;
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f24e616b5a35ff372c78c1472f156ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f52cb58b6bc5d71030463ba7e28134.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
②椭圆的左右焦点分别是
![](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/d3c07ebcbfacda073208d483c58e8a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5eb2485f90dbfd0dfd6e7d179a856f5.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/866b81a8384cce4f24867baca2e6820c.png)
您最近一年使用:0次
2021-11-04更新
|
1255次组卷
|
3卷引用:浙江省绍兴市诸暨市2017-2018学年高二上学期期末数学试题
5 . 已知函数
.
(1)若
在
上为单调递增函数,求实数
的最小值.
(2)若
有两个极值点
.
(i)求实数
的取值范围;
(ii)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e1b4310d8af69c2ee47e19ac138195.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bdfed8d6862125dc1fecfce0322a750.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c5b3d18fd51a908616c06526d5e63db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dae74c724114bfeff024dd7b79f5edc.png)
(i)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(ii)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d91f0068c5c29b76c7facc01a7eca0d.png)
您最近一年使用:0次
6 . 如图所示,平面
平面
,二面角
,已知
,
,直线
与平面
,平面
所成角均为
,与
所成角为
,若
,则
的最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/670684ed4962fcebce7b5a140510d066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4f17a8dbdeec924d5cb55954f2c7655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f4da4bdeebcf8873fd2624fde17c4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb0b6de90bb936cdb09629123100145d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16acea101c98a280a70c2fa0b2c04dd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dba4e5eb772404b7db0e7192371b8e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4200780cfc3210fd73635a014d69565.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2020-09-15更新
|
2889次组卷
|
5卷引用:浙江省绍兴市诸暨中学2020-2021学年高三上学期10月测试数学试题
浙江省绍兴市诸暨中学2020-2021学年高三上学期10月测试数学试题浙江省宁波市宁海中学2020-2021学年高三上学期9月第一次模拟数学试题(已下线)专题7-2 立体几何压轴小题:角度与动点、体积(讲+练)-1四川省2022-2023学年高一下学期“贡嘎杯”期末质量检测考试数学试题(已下线)【讲】专题1 三角恒等变换问题(压轴小题)
7 . 设正数
,
,
满足
,
,
,
是以
为圆心的单位圆上的
个点,且
.若
是圆
所在平面上任意一点,则
的最小值是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75b5dc876d7dcd3c971b36d26668b1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7345f310975ddb40dca94b5135c35dad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061baa765d2939a416300de14c45b8ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4636b9ad631572133c835e4ce50438b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a8b5f852f85e77ebdd7872cfd5029d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96818df1abe53f1b05e90a9140b70366.png)
A.2 | B.3 | C.![]() | D.![]() |
您最近一年使用:0次
2020-07-27更新
|
2736次组卷
|
7卷引用:浙江省绍兴市柯桥区2020届高三下学期6月方向性考试数学试题
浙江省绍兴市柯桥区2020届高三下学期6月方向性考试数学试题(已下线)期末测试卷02-2020-2021学年高一数学下学期期末专项复习(北师大版2019必修第二册)重庆市长寿中学校2021-2022学年高一下学期阶段性考试(一)数学试题(已下线)2022年高考考前20天终极冲刺攻略(二)【理科数学】湖北省十堰市丹江口市第一中学2021-2022学年高一下学期期中数学试题(一)(已下线)第9章 平面向量 单元综合检测(难点)-《重难点题型·高分突破》(苏教版2019必修第二册)福建省厦门市外国语学校2023-2024学年高一下学期第一次月考数学试题
8 . 已知函数
,其中
,是自然对数的底数.
(1)当
时,证明:
是
的一个极小值点;
(2)若
在区间
上的最小值为1,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b97115f4f05d80ba09842879b93a290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae6bf7c3198cdd4dafc81e3992f34bd2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/001ced1ead625017c92528a0bb1b8901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
解题方法
9 . 已知函数
,
,设
的最大值为
,若
的最小值为
时,则
的值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2bbfff3e69f32bf56e006ed6f1052a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
10 . 已知函数
.
(1)当
时,求函数
在点
处的切线方程.
(2)若
对任意的
恒成立,求
的值.
(3)在(2)的条件下,记
,证明:
存在唯一的极大值点
,且
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b77ba7d2fd83543ff795ba95a2668b3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff7d632e9ddb7d9857b073978f8314ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)在(2)的条件下,记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2948d1f0476a537e7150e8a8b0d3a421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4df5ea5aebfb463f9e08de0c32c1c739.png)
您最近一年使用:0次
2020-07-11更新
|
708次组卷
|
3卷引用:浙江省绍兴市柯桥区鲁迅中学2019-2020学年高二下学期期中数学试题