1 . 数列
满足
,
,则下列说法正确的是( )
![](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/c5ba3f90c7c48ad9d0316b7cea3e2b7c.png)
A.若![]() ![]() ![]() |
B.若存在无数个自然数![]() ![]() ![]() |
C.当![]() ![]() ![]() |
D.当![]() ![]() |
您最近一年使用:0次
2022-09-24更新
|
2057次组卷
|
6卷引用:湖北省荆门市龙泉中学2023届高三5月模拟数学试题
名校
2 . 设函数
.
(1)当
时,讨论
的单调性;
(2)若
在
上单调递增,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8328a654a0750029a81d6dbe27575b3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb5f421939ee855f25927e7570d82c71.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/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2022-05-07更新
|
1813次组卷
|
5卷引用:湖北省荆门市龙泉中学、荆州中学·、宜昌一中三校2023届高三下学期5月联考数学试题
名校
3 . 如图,点M是棱长为1的正方体
中的侧面
上的一个动点(包含边界),则下列结论正确的是( )
![](https://img.xkw.com/dksih/QBM/2021/4/15/2700254040817664/2701979731812352/STEM/6b106b72-c556-45b7-87bf-517221117397.png?resizew=217)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebb05874eb3353d754af24c9974273e.png)
![](https://img.xkw.com/dksih/QBM/2021/4/15/2700254040817664/2701979731812352/STEM/6b106b72-c556-45b7-87bf-517221117397.png?resizew=217)
A.存在无数个点M满足![]() |
B.当点M在棱![]() ![]() ![]() |
C.在线段![]() ![]() ![]() ![]() |
D.满足![]() |
您最近一年使用:0次
2021-04-17更新
|
2691次组卷
|
9卷引用:湖北省荆门市钟祥市实验中学2020-2021学年高二下学期4月阶段检测(3)数学试题
湖北省荆门市钟祥市实验中学2020-2021学年高二下学期4月阶段检测(3)数学试题湖北省恩施高中、龙泉中学、宜昌一中2021届高三下学期4月联考数学试题(已下线)押新高考第12题 立体几何-备战2021年高考数学临考题号押题(新高考专用)湖北省黄冈市麻城市实验高级中学2021届高三下学期5月第五次冲刺模拟数学试题福建师范大学附属中学2022届高三上学期期中考试数学试题2022届高三普通高等学校招生全国统一考试数学预测卷(八)(已下线)专题23 立体几何中的压轴小题-2广东省四校(珠海市实验中学、东莞市第六高级中学、河源高级中学、中山市实验中学)2023届高三上学期第二次联考数学试题广东省广州市第十六中学2023届高三上学期12月模拟数学试题
名校
4 . 已知函数
,
且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2338b708fdb65059623cc53a729b2a52.png)
(1)若函数
在区间
上单调递减,求实数
的取值范围;
(2)若
,且对于任意实数
,总存在实数
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40a6e8631129b2bdc72f5160a4cb9d84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca9b28128d44938b6e7e5ca891f29599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2338b708fdb65059623cc53a729b2a52.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.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/a9331df9c46ceb8f74f4cd7535e4b30d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b0ec605a551d3dd755f77e9ce8fa68c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9734a114caaf33b7f898ec8c6663e9f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
2019-12-31更新
|
814次组卷
|
2卷引用:湖北省荆门市钟祥一中2019-2020学年高一上学期10月月考数学试题
5 . 已知函数
,
.
(Ⅰ)当
时,求
的最小值;
(Ⅱ)若
有两个零点,求参数
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3d4a7999b4d49843604e327c8c4e1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(Ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22362247969ade54a950a49157ff67f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019-05-12更新
|
1683次组卷
|
3卷引用:【校级联考】湖北省荆门市沙洋中学、龙泉中学、钟祥一中、京山一中四校2019届高三下学期六月考前模拟(理)数学试题
名校
6 . 对于实数x,[x]表示不超过x的最大整数,已知正数列{an}满足Sn=
(an
),n∈N*,其中Sn为数列{an}的前n项的和,则[
]=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eff998d034284391ca064755fa6bf1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43ca9676ebd083e613035e93d4c0f861.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09e322e598ff7e7da28bbf8aa1348ad8.png)
您最近一年使用:0次
2019-05-07更新
|
2022次组卷
|
5卷引用:【市级联考】湖北省钟祥市2019届高三高考第一次模拟考试理科数学试题
【市级联考】湖北省钟祥市2019届高三高考第一次模拟考试理科数学试题内蒙古赤峰二中2018-2019学年高一下学期第二次月考数学(理)试题广东省广州、深圳市学调联盟2019-2020学年高三下学期第二次调研数学(文)试题(已下线)专题07 《数列》中的最值问题-2021-2022学年高二数学同步培优训练系列(苏教版2019选择性必修第一册)(已下线)考点15 数列综合问题-1-(核心考点讲与练)-2023年高考数学一轮复习核心考点讲与练(新高考专用)
名校
7 . 设函数
(
,
为自然对数的底数),定义在
上的函数
满足
,且当
时,
.若存在
,且
为函数
的一个零点,则实数
的取值范围为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75fe54703f712e2b2e656cb3e2da8b99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afe615995c91724e8e7635bbd221c030.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2b74d89854116e411c089d053df053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49527d959282a22e8fb4e3fb3ed2ee09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff3181416f4b5cd1d045aa9028faa08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eead1f1a5ffdbaced2c3ff2c3fba740e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-01-23更新
|
2681次组卷
|
9卷引用:【市级联考】湖北省荆门市2019届高三12月阶段性复习检测数学(理)试题
【市级联考】湖北省荆门市2019届高三12月阶段性复习检测数学(理)试题湖北省十堰市2019届高三模拟试题理科数学学科【全国百强校】安徽省淮北市第一中学2018-2019学年高二下学期第二次月考数学(理)试题【全国百强校】宁夏石嘴山市第三中学2019届高三下学期三模考试数学(理)试题(已下线)【全国百强校】河北省衡水中学2019届高三第二学期一模考试理科数学试题2019届广东省珠海市高三二模数学(理)试题黑龙江省大庆实验中学2020届高三综合训练(五)数学(理科)试题(已下线)第8章+函数应用(基础卷)-2020-2021学年高一数学十分钟同步课堂专练(苏教版2019必修第一册)安徽省六安市新安中学2021-2022学年高三上学期第五次月考数学(文)试题
名校
8 . 已知实数
,
,
满足
,其中
是自然对数的底数,那么
的最小值为________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a5bc97a70fac1ebfc2ac22895fef2ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb9a62fa4bbae6bc3fa5135360e16a25.png)
您最近一年使用:0次
2019-01-11更新
|
2235次组卷
|
5卷引用:湖北省荆门市龙泉中学2019年高三年级12月月考理数试题
名校
9 . 已知椭圆
的长轴长为6,且椭圆
与圆
的公共弦长为
.
(1)求椭圆
的方程;
(2)过点P(0,1)作斜率为
的直线
与椭圆
交于两点
,
,试判断在
轴上是否存在点
,使得
为以
为底边的等腰三角形,若存在,求出点
的横坐标的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e1c1a65ac0d14db498548f5661821bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b120f27ec53766b2e488b76d3ae2bdb.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点P(0,1)作斜率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6bdac20e214b2cb3bd07f8d4778dcca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/2019/1/9/2114926256267264/2116294483738624/STEM/33a766f02de4413ba19a35866ec9ada4.png?resizew=13)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/504388564cf808feff52c16bae297a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
您最近一年使用:0次
10 . 如图,已知圆E:
,点
,P是圆E上任意一点.线段PF的垂直平分线和半径PE相交于Q.
![](https://img.xkw.com/dksih/QBM/2015/2/6/1571986905423872/1571986911584256/STEM/0f836db8eef042259602fd774ef405ba.png)
(Ⅰ)求动点Q的轨迹
的方程;
(Ⅱ)设直线
与(Ⅰ)中轨迹
相交于
两点,直线
的斜率分别为![](https://img.xkw.com/dksih/QBM/2015/2/6/1571986905423872/1571986911584256/STEM/9ea67076f13c4b35bf8fb8f86da798d7.png)
.△
的面积为
,以
为直径的圆的面积分别为
.若
恰好构成等比数列,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e8ffd8a6f46d6076861da6157e8274.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce176fdfbb44b8459f441a8d805013f.png)
![](https://img.xkw.com/dksih/QBM/2015/2/6/1571986905423872/1571986911584256/STEM/0f836db8eef042259602fd774ef405ba.png)
(Ⅰ)求动点Q的轨迹
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba6b27da5da992993b9bfe948efc604b.png)
(Ⅱ)设直线
![](https://img.xkw.com/dksih/QBM/2015/2/6/1571986905423872/1571986911584256/STEM/40b35e95aa9a492285e0f312673d085f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba6b27da5da992993b9bfe948efc604b.png)
![](https://img.xkw.com/dksih/QBM/2015/2/6/1571986905423872/1571986911584256/STEM/dbb9f68df73841c9bf9952a3a549bbb3.png)
![](https://img.xkw.com/dksih/QBM/2015/2/6/1571986905423872/1571986911584256/STEM/c5b1469679954663bfe37122338af2da.png)
![](https://img.xkw.com/dksih/QBM/2015/2/6/1571986905423872/1571986911584256/STEM/9ea67076f13c4b35bf8fb8f86da798d7.png)
![](https://img.xkw.com/dksih/QBM/2015/2/6/1571986905423872/1571986911584256/STEM/9cac724477c34d13b544f786da7f5660.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://img.xkw.com/dksih/QBM/2015/2/6/1571986905423872/1571986911584256/STEM/c34869887c414c96941302d88dafabd0.png)
![](https://img.xkw.com/dksih/QBM/2015/2/6/1571986905423872/1571986911584256/STEM/0056109605d54561b96c05c131d9d4ef.png)
![](https://img.xkw.com/dksih/QBM/2015/2/6/1571986905423872/1571986911584256/STEM/e3a114b2b8be407abe8fa5ac81726192.png)
![](https://img.xkw.com/dksih/QBM/2015/2/6/1571986905423872/1571986911584256/STEM/ab61f5360e284d16b78edf6d2214df33.png)
![](https://img.xkw.com/dksih/QBM/2015/2/6/1571986905423872/1571986911584256/STEM/5d7c16276c584e8f8b16e5f76d5c0159.png)
您最近一年使用:0次