名校
解题方法
1 . 设k是正整数,A是
的非空子集(至少有两个元素),如果对于A中的任意两个元素x,y,都有
,则称A具有性质
.
(1)试判断集合
和
是否具有性质
?并说明理由.
(2)若
.证明:A不可能具有性质
.
(3)若
且A具有性质
和
.求A中元素个数的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/858911660b233271d57b17e358232d45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3cf0ebf259b9007acfffe8b6940abc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d46bf6ded2f869744c6c50785f974aa6.png)
(1)试判断集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d167be863d109213bd07becd62b74d12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c73a7a7e9ecb2c8296e505e5409fb2ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bea0dd7e474bcd04db2544427ba0488.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d11d851264c4ef68ea96f895c0136d0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7470297de40027847c5c73fc5d1719c.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bacd2a1627ef91a38a03ac4e32adc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c414a10d73f453fc1109e5b2243d2369.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb1832cb6b4e96e3d4f34d79b0e88854.png)
您最近一年使用:0次
名校
2 . 空旷的田野上两根电线杆之间的电线有相似的曲线形态.这些曲线在数学上称为悬链线.悬链线在工程上有广泛的应用.在恰当的坐标系中,这些曲线对应的函数表达式可以为
(其中a,b为非零常数),则对于函数
以下结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7de2689549fbbe15489912408ab8d16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-01-24更新
|
341次组卷
|
10卷引用:北京市第八十中学2023-2024学年高三上学期10月月考数学试卷
北京市第八十中学2023-2024学年高三上学期10月月考数学试卷湖北省黄冈市2022-2023学年高一上学期元月期末数学试题湖北省荆门市龙泉中学2022-2023学年高一上学期期末数学试题辽宁省沈阳市第二中学2023-2024学年高一上学期12月月考数学试卷(已下线)江西省南昌市第二中学2023-2024学年高一上学期第二次月考数学试题江西省南昌市第二中学2023-2024学年高一上学期12月月考数学试题(已下线)高一(上)期末模拟考试(B 能力提升)-【冲刺满分】山东省临沂第十八中学2023-2024学年高一上学期1月阶段性测试数学试题广东省广州市广雅中学2023-2024学年高一上学期期末数学试题四川省绵阳南山中学2023-2024学年高一下学期入学考试数学试题
名校
3 . 设正整数
,集合
,对于集合
中的任意元素
和
,及实数
,定义:当且仅当
时
;
;
.若
的子集
满足:当且仅当
时,
,则称
为
的完美子集.
(1)当
时,已知集合
,
.分别判断这两个集合是否为
的完美子集,并说明理由;
(2)当
时,已知集合
.若
不是
的完美子集,求
的值;
(3)已知集合
,其中
.若
对任意
都成立,判断
是否一定为
的完美子集.若是,请说明理由;若不是,请给出反例.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9f20576d4bb73cc3c0d62b574e23eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a2f4ee8d35d21bbef8edde88c6bd10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/759aff07fb4c591cdcb4dd7c2af6dd55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279ec05658fd1933d7d0a8c56d1afca8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b7ca4667865ebe617fa6539e8d11fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fec1f2fef63966d161ebaf6bd40825e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b266fc4302ece42971e9f2545ffb1b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a0812b120ad354e735cb3f11fa89f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2528fbb6a59ba983d1a70c81b0886484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce88f9aba3036bf425a682829cdd441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8406e10f6c518b911ad97501da658cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b72a181077702c7f5b744ca57db0af23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb5b01bbb185b5a804ce11df2a06cdab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da3ea3c78cb3609e207a7ce2c3915ed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c6eb534c175e2676ed45657c71df01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92247b24065617e962c85a52086261f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79059a3366ed1b339ba1317ce8a1e7f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2023-10-10更新
|
286次组卷
|
2卷引用:北京市东直门中学2024届高三上学期阶段检测(10月月考)数学试题
4 . 已知集合
.由集合P中所有的点组成的图形如图中阴影部分所示,中间白色部分形如美丽的“水滴”.给出下列结论:
①“水滴”图形与y轴相交,最高点记为A,则点A的坐标为
;
②在集合P中任取一点M,则M到原点的距离的最大值为3;
③阴影部分与y轴相交,最高点和最低点分别记为C,D,则
;
④白色“水滴”图形的面积是
.
其中正确的有______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1acb5ecf750be19dca1629d1be63754.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/30/9eef0590-d37a-4411-9fb5-96bfcb307fc9.png?resizew=184)
①“水滴”图形与y轴相交,最高点记为A,则点A的坐标为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4fd84394e897ebf6c4814b841d427b.png)
②在集合P中任取一点M,则M到原点的距离的最大值为3;
③阴影部分与y轴相交,最高点和最低点分别记为C,D,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a73f95b92dee46d63c5f0dc4316506.png)
④白色“水滴”图形的面积是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73e9521a4bda58b6a4cedac2d54fdca9.png)
其中正确的有
您最近一年使用:0次
2020-06-23更新
|
1266次组卷
|
3卷引用:北京市丰台区2020届高三下学期综合练习(二)(二模)数学试题
名校
5 . 已知集合
.若
,且对任意的
,
,均有
,则集合B中元素个数的最大值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b7f82e2621c820d4400467d7bcc6110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3378987d0eafe1dd693503908e920261.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cb197950767502ab3d7916c09f73f9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fb79bb271e0c7bb59abfeb641775123.png)
A.25 | B.49 | C.75 | D.99 |
您最近一年使用:0次
2019-01-24更新
|
1653次组卷
|
5卷引用:【区级联考】北京市海淀区2019届高三上学期期末考试数学理试题
【区级联考】北京市海淀区2019届高三上学期期末考试数学理试题北京市一零一中学2022届高三3月数学统练试题(已下线)第1章+集合单元测试(重点卷)-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)(已下线)高一上学期第一次月考选择题压轴题50题专练-举一反三系列(已下线)专题1-2 集合运算求参与最值10种题型归类(2) - -【巅峰课堂】题型归纳与培优练
6 . 设正整数
,集合
,对于集合
中的任意元素
和
,及实数
,定义:当且仅当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/701ab98a2bf1135cd989822b0738e11d.png)
时
;
;
.
若
的子集
满足:当且仅当
时,
,则称
为
的完美子集.
(1)当
时,已知集合
,
.分别判断这两个集合是否为
的完美子集,并说明理由;
(2)当
时,已知集合
.若
不是
的完美子集,求
的值;
(3)已知集合
,其中
.若
对任意
都成立,判断
是否一定为
的完美子集.若是,请说明理由;若不是,请给出反例.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e645003529ce532c0fb8008542f462aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1dbd4409c152b9d4584dc4987ea1f4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e41f01126901d1d41def76204ea6f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/701ab98a2bf1135cd989822b0738e11d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f736b66000c6c6befe2171d5090bf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f22fec5a381ae8aca93d876e54c79de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d81180e86359c33e5cca1d7caa1cf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/475081154c6beb5b0c79539ae90a97d2.png)
若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a26b3c852186f8f4e70e3e631a303a33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2528fbb6a59ba983d1a70c81b0886484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6baf603fa729de597e4cb0c5096befec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd84e04f63b3b274ab0bd43a3602d208.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86edf057f9eade338a48f31cff55a1ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0eb383920bb68fa496570c3d34dff0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38c76d8203805842e9a756aa2b7a453a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/146c0af5412c503171a5e8701158352b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92247b24065617e962c85a52086261f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79059a3366ed1b339ba1317ce8a1e7f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2021-11-04更新
|
769次组卷
|
7卷引用:北京市海淀区2022届高三上学期期中练习数学试题
北京市海淀区2022届高三上学期期中练习数学试题北京市顺义区杨镇第一中学2023届高三上学期10月月考数学试题北京市汇文中学2023届高三上学期期中考试数学试题北京市东直门中学2022-02023学年高一下学期期中考试数学试题北京市陈经纶中学2023-2024学年高二上学期期中考试数学试卷(已下线)高一上学期期中考试解答题压轴题50题专练-举一反三系列(已下线)单元高难问题01集合中的新定义问题-【倍速学习法】(人教A版2019必修第一册)
7 . 对非空数集
,
,定义
,记有限集
的元素个数为
.
(1)若
,
,求
,
,
;
(2)若
,
,
,当
最大时,求
中最大元素的最小值;
(3)若
,
,求
的最小值.
![](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/2e3537cbcff7cc15ff0cdf26de2a73b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b830a24447b3831005c9942fb263e1c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed0081de4e04574dd0884c4e6077fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04e18306ebf275f54eb946ddb7c38397.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4be9b536fcf7bbdb422184f74db9ed1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e803dee8996550a8b3fb641e437709a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbae4853231076a1c59a0d37eeaf7469.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d197338ab810f6c9d31a2b67e5f352ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560882860516a9207f47ec0156975bf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb1aca774c04bd0599d77a1c0c9b43d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbae4853231076a1c59a0d37eeaf7469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7987e3e0432dee47d40079d5577c2f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b449796bf5cff2580eb2609830f3cb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbae4853231076a1c59a0d37eeaf7469.png)
您最近一年使用:0次
2020-11-02更新
|
950次组卷
|
6卷引用:北京市人大附中2021届高三年级10月数学月考试题
名校
8 . 在平面直角坐标系中,
为坐标原点.对任意的点
,定义
.任取点
,
,记
,
,若此时
成立,则称点
,
相关.
(1)分别判断下面各组中两点是否相关,并说明理由;
①
,
;②
,
.
(2)给定
,
,点集
.
(
)求集合
中与点
相关的点的个数;
(
)若
,且对于任意的
,
,点
,
相关,求
中元素个数的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26b5a1b40e3d8bf7958a3953728a6736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/333ad25971f3ca6ce7856b61d835c2bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/493b606e0c646850a043f6c2a07c7164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df2cce14d513cdbea09959518c963506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee340ba2cddd5c2fe52479c23f38551.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e721f96af232871062fcdb11d33292fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)分别判断下面各组中两点是否相关,并说明理由;
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4212e0f2da912518e8b02a741cc91ad2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a475d30f8a83feed0ed3c238bb24580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a381feef25466f73c1a3ef085a74d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23472ed238f36798fd92bdba55b81b3a.png)
(2)给定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2b7233381e8819d6f4f6f0e74ce748f.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e1862efa4931cbf76743033ad6f1e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a26e951d6d2369e8da79a793a93a66a4.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3661316205a08b035810dcf603480ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d05f3a6e0d625cf73bb656dd85f666d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faee19cda99ba8b7e05910488f7e7ced.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/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
2020-06-15更新
|
918次组卷
|
6卷引用:北京市海淀区2020届高三年级第二学期期末练习(二模)数学试题
北京市海淀区2020届高三年级第二学期期末练习(二模)数学试题北京市中国人民大学附属中学朝阳学校2022届高三10月阶段检测数学试题北京市第三十五中学2021-2022学年高二下学期期中考试数学试题北京市海淀区教师进修学校附属实验学校2022-2023学年高二上学期12月月考数学练习试题北京市第八中学2022-2023学年高二上学期期末练习数学试题(已下线)专题04 集合中的压轴题(二)-【尖子生专用】2021-2022学年高一数学考点培优训练(人教A版2019必修第一册)
9 . 若函数
对任意的
,均有
,则称函数
具有性质
.
(1)判断下面两个函数是否具有性质
,并说明理由.①
;②
.
(2)若函数
具有性质
,且
,求证:对任意
有
;
(3)在(2)的条件下,是否对任意
均有
.若成立给出证明,若不成立给出反例.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c75190e49deb89c5a43eda6083422418.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)判断下面两个函数是否具有性质
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abbe323771bc92bf5767e1bd9a46b946.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c904567c3b3734e1eca8d042ef7a7b2d.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25967a292e2486b6406e60447cfb0e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b880d2aa081b381aabbc1634dcf26c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6db419cf1fca9e54646e150752cd7a82.png)
(3)在(2)的条件下,是否对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68f5762af19bbe5d56474384277a5d98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6db419cf1fca9e54646e150752cd7a82.png)
您最近一年使用:0次
2020-05-08更新
|
975次组卷
|
6卷引用:2011届北京市西城区高三二模试卷数学(文科)
(已下线)2011届北京市西城区高三二模试卷数学(文科)北京市首师大附2017-2018学年高三十月月考数学(文)试题2020届上海市上海中学高三下学期高考模拟(4月)数学试题(已下线)重难点12 选考系列(参数方程与不等式)-2021年高考数学【热点·重点·难点】专练(上海专用)北京市第八十中学2022-2023学年高一上学期期中考试数学试题(已下线)第四章 指数函数与对数函数单元检测卷(能力挑战)-【一堂好课】2021-2022学年高一数学上学期同步精品课堂(人教A版2019必修第一册)
名校
10 . 已知的函数
.
(1)求函数
的最小正周期和单调递增区间;
(2)若当
时,关于x的不等式
有解,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895bfc8e36b398e75849000ae45ec4bc.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce485410257c9c1fae9d87ce3e44cc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbc99846cc58c8b63e1c305397889118.png)
您最近一年使用:0次
2021-11-19更新
|
660次组卷
|
7卷引用:2020届北京市密云区高三第二学期第二次阶段性测试数学试题