1 . 已知数列
的首项
,且
,
,则满足条件的最大整数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc6545b8eca1c4223ed701a199a85683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7643e8b7aa32ebf299048417a94432dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17e51bf493c0343418d5be10eace770f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
A.2022 | B.2023 | C.2024 | D.2025 |
您最近一年使用:0次
2023-12-21更新
|
1809次组卷
|
7卷引用:湖北省武汉市第六中学2023-2024学年高二上学期第4次月考暨期末联考模拟数学试题
湖北省武汉市第六中学2023-2024学年高二上学期第4次月考暨期末联考模拟数学试题江苏省盐城市联盟校2024届高三上学期第二次联考数学试题(已下线)考点6 等比数列的前n项和的性质 2024届高考数学考点总动员【练】江苏省苏州市南航苏州附中2024届高三上学期零模模拟数学试题(已下线)模块三 大招3 分式结构递推(已下线)大招6 数列函数属性(已下线)模块四 数列(测试)
2 . 小明同学喜欢玩折纸游戏,经常对折纸中的一些数学问题进行探究.已知一矩形纸片
其中
的周长为
他把
沿AC向
折叠,AB折过去后交DC于点
他在思索一个问题:如果改变AB的长度
周长保持不变
,
的面积是否存在最大值?请帮他确定
的面积是否存在最大值?若存在,求出其最大值并指出相应的AB的长度;若不存在,试说明理由?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c4d2587a1a841ac903ebcaf060dda14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d726003a46612fa46667b7cf9cf79766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3020af41b4c0b4aefc08f68151f54b37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e75fb6f9ad72dea327a6895915cd5355.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c03b78aea3e4122a1416d5ca6a4ffc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad76cea565f95292dcdfd6b8dc0e73a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad76cea565f95292dcdfd6b8dc0e73a.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
,
.
(1)当
时,求
的单调区间;
(2)如果关于
的方程
有三个不相等的非零实数解
,
,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1277e63529a8e6fa261660474741ece.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a1a5f2533b8ea54b7022383f875666.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)如果关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](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/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52079d948ae0e1f1d112b3ac76142f1a.png)
您最近一年使用:0次
名校
解题方法
4 . 已知数列
的前
项和
,数列
是首项和公比均为2的等比数列,将数列
和
中的项按照从小到大的顺序排列构成新的数列
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4300dca231e2f4b37f70900b33439d5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
A.![]() | B.数列![]() ![]() ![]() ![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-12-17更新
|
662次组卷
|
3卷引用:湖北省武汉市第六中学2023-2024学年高二上学期第4次月考暨期末联考模拟数学试题
5 . 已知数列
满足
,
,下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/352d9b76dcf639368fa68cae70149802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fcc7acfbd59dad3c759c1694f291bdf.png)
A.![]() |
B.![]() ![]() ![]() ![]() |
C.![]() ![]() |
D.记![]() ![]() ![]() |
您最近一年使用:0次
2023-12-14更新
|
610次组卷
|
3卷引用:湖北省腾●云联盟2024届高三上学期12月联考数学试题
名校
解题方法
6 . 已知函数
,
满足
.
(1)设
,求证:函数
在区间
上为减函数,在区间
上为增函数;
(2)设
.
①当
时,求
的最小值;
②若对任意实数
,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88d0fa6692dabe155895e6deca98da84.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e44284cb19805a584880a686ac3df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4a90cfdbfa05577b6ec0b22739e7c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95167d339851668666c00819537737c4.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a56251c77cc3fd1db89c33003519a116.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
②若对任意实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5db0c90f213d6bf3ef7949cc00aa27b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a37e21a940c03985a1458167b5e6c24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-11-27更新
|
401次组卷
|
5卷引用:湖北省黄冈市浠水县第一中学2023-2024学年高一上学期期中数学试题
湖北省黄冈市浠水县第一中学2023-2024学年高一上学期期中数学试题山东省潍坊市2023-2024学年高一上学期11月期中质量监测数学试题山东省淄博市美达菲双语高级中学2023-2024学年高一上学期期中数学试题江西省抚州市资溪县第一中学2023-2024学年高一上学期期中调研数学试题(已下线)专题04 函数的性质与应用1-期末复习重难培优与单元检测(人教A版2019)
名校
7 . 已知不等式
对
恒成立,则
的值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b933cca95c698176be4e121e3aab5d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6fc279f39aff9a69b5806b8cb511338.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-11-23更新
|
347次组卷
|
2卷引用:湖北省荆州市荆州中学2023-2024学年高一上学期期中数学试题
8 . 2022年第二十四届北京冬奥会开幕式上由96片小雪花组成的大雪花惊艳了全世界,数学中也有一朵美丽的雪花——“科赫雪花”.它的绘制规则是:任意画一个正三角形
,并把每一条边三等分,以三等分后的每边的中间一段为边向外作正三角形,并把这“中间一段”擦掉,形成雪花曲线
.重复上述两步,画出更小的三角形,一直重复,直到无穷,形成雪花曲线
,
,
,
,
.
设雪花曲线
周长为
,面积为
.若
的边长为3,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f512b7e52f01aa7d4afb59287de2a5c8.png)
________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.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/fee50575e3ebd56c4f46dd0bbf8e55d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/30/b3ed9892-cd6b-4c2a-a65d-d6f5c5f8fbc1.png?resizew=305)
设雪花曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7c5e7bd6bac51402ffa04b4144ec78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f512b7e52f01aa7d4afb59287de2a5c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
您最近一年使用:0次
名校
解题方法
9 . 若实数x,y满足
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/905487a2a54ec22ac51e56de4fe76c26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/393511cfea0c362757b6b7c40a8d5058.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5f01f055d304dff4a448bf0ea225eb.png)
A.![]() ![]() | B.m的最大值为![]() |
C.n的最小值为7 | D.![]() |
您最近一年使用:0次
2023-11-09更新
|
806次组卷
|
3卷引用:湖北省宜昌市部分省级示范高中2023-2024学年高一上学期11月期中考试数学试卷
湖北省宜昌市部分省级示范高中2023-2024学年高一上学期11月期中考试数学试卷浙江省温州市乐清市知临中学2023-2024学年高一上学期期中数学试题(已下线)专题04 指数函数与对数函数3-2024年高一数学寒假作业单元合订本
名校
解题方法
10 . 函数
对任意实数
恒有
,且当
时,
.
(1)判断
的奇偶性;
(2)求证:
是
上的减函数;
(3)若
,解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be8e8e51ff9cf43529a75ce031f8865.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/130ea481fadd167c198f6855bba2f654.png)
您最近一年使用:0次
2023-11-03更新
|
1515次组卷
|
3卷引用:湖北省荆州市沙市中学2023-2024学年高一上学期11月期中数学试题
湖北省荆州市沙市中学2023-2024学年高一上学期11月期中数学试题广东省深圳市深圳大学附属实验中学2023-2024学年高一上学期期中数学试题(已下线)5.4 函数的奇偶性-【题型分类归纳】(苏教版2019必修第一册)