名校
1 . 在信息理论中,
和
是两个取值相同的离散型随机变量,分布列分别为:
,
,
,
,
,
.定义随机变量
的信息量
,
和
的“距离”
.
(1)若
,求
;
(2)已知发报台发出信号为0和1,接收台收到信号只有0和1.现发报台发出信号为0的概率为
,由于通信信号受到干扰,发出信号0接收台收到信号为0的概率为
,发出信号1接收台收到信号为1的概率为
.
(ⅰ)若接收台收到信号为0,求发报台发出信号为0的概率;(用
,
表示结果)
(ⅱ)记随机变量
和
分别为发出信号和收到信号,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b08fcbcf19c6ca72cd66c201ef43f9ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f4380cd57f824c5d9df1ca493cbd8cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfe82ce73937d36166659f21492c825e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1a870945a04cd86f2e0026fc53a2b36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12b0e3b00fe47801afb53ec56706c21a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b4e8e7a49dbe86419e00672d1927c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd67429e1b0f56bc66a547fc9c6eed2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5633fa4fa8837dff506561b7943715fb.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17d0c830d39efe08dad4f2104325b8c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59a8bb9552579e3cd3c7d693ce37b445.png)
(2)已知发报台发出信号为0和1,接收台收到信号只有0和1.现发报台发出信号为0的概率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29c8578f06897aa6fb84aa95c797d3d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d9b426bcc34a2cca2184dc1310f5e4.png)
(ⅰ)若接收台收到信号为0,求发报台发出信号为0的概率;(用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(ⅱ)记随机变量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3719852c05eef71dd595791e3dc10de7.png)
您最近一年使用:0次
2024-06-14更新
|
657次组卷
|
4卷引用:江西省上饶市稳派上进六校联考2024届高三5月第二次联合考试数学试题
2 . 设
,
是非空集合,定义二元有序对集合
为
和
的笛卡尔积.若
,则称
是
到
的一个关系.当
时,则称
与
是
相关的,记作
.已知非空集合
上的关系
是
的一个子集,若满足
,有
,则称
是自反的:若
,有
,则
,则称
是对称的;若
,有
,
,则
,则称
是传递的.且同时满足以上三种关系时,则称
是集合
中的一个等价关系,记作~.
(1)设
,
,
,
,求集合
与
;
(2)设
是非空有限集合
中的一个等价关系,记
中的子集
为
的
等价类,求证:存在有限个元素
,使得
,且对任意
,
;
(3)已知数列
是公差为1的等差数列,其中
,
,数列
满足
,其中
,前
项和为
.若给出
上的两个关系
和
,请求出关系
,判断
是否为
上的等价关系.如果不是,请说明你的理由;如果是,请证明你的结论并请写出
中所有等价类作为元素构成的商集合
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28b93f7aa7ba32c9dad112ae7caa10d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76b076845d2b97a8b09807f232000aa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/558b4d40179245aa327521eeff8c2574.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a15d37048f967e9420c3d117d8231d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31a7c9c05b4d3eac6461747017dcb8cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7902d1a9d757df4d9bc35d45e16d892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba85c8b02a51af9a7f2121f6888de7df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b548de80bcd12b1bc37081ac69a7431b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a15d37048f967e9420c3d117d8231d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a825fd8b77fbb7342cd408968fb70ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46ea1419908c307c68726c8266022584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a15d37048f967e9420c3d117d8231d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/050a5bbe5ed5a5ffb338f6754a884fc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b04042e0bf9c6985ffc72e63134b6416.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d65c189a79078617afd2f9a455ccea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5035c62eda0e9238d517fea6b5bb6f0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce240043bb6d7e24a09954f7c72a14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62d4afc4786dd071158544fcd1f5b132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1169b97c3532be1b2a67f053a7d2c807.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34bc98fb66e6c435ee3f3ae838b56666.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e295975b6e7d533fca11356ef38f0877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/994598ce57f0289a3cb374740e431235.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf81dd43d0ab4be39344ef96aa2b25e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b71af6590f0f369c164a054a8b63bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27db6e128a3c29b8df7f8743546bb8db.png)
(3)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b36e3ca48d6825b91d99dc49861584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29b55a10b9c9abf002dc82b2951251b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c1a134d2f29b023f3355aa5b4af457d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/451eedd2b6db5a8233816f51788f54a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc9efeb4455e30293d412938eeea85d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ad9141b70ad7eadb9dabec40186f40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b602d8facb00e929bd7b7dbe607d724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc868066533c40faab358a931a6aeb84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31be75a542de7085c49dddc2403de62e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc91509afee726c4279a7767da66dadb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b602d8facb00e929bd7b7dbe607d724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b602d8facb00e929bd7b7dbe607d724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f2368d861c70f08c2721e8181954cd.png)
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3 . 定义两个
维向量
,
的数量积
,
,记
为
的第k个分量(
且
).如三维向量
,其中
的第2分量
.若由
维向量组成的集合A满足以下三个条件:①集合中含有n个n维向量作为元素;②集合中每个元素的所有分量取0或1;③集合中任意两个元素
,
,满足
(T为常数)且
.则称A为T的完美n维向量集.
(1)求2的完美3维向量集;
(2)判断是否存在完美4维向量集,并说明理由;
(3)若存在A为T的完美n维向量集,求证:A的所有元素的第k分量和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c3e014b5001732bc4b37be2b03c4033.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f00efefb7f52ad5c9dbdb180e577ee54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028076d0553b70f0fdae6beff69a10ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8c5d928c389d3abb01ca33fedf17efb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00da2c261a6ecd7533ffb8e153eaa506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4d9e604bcc449034230149a89d746a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b4b3879d1c6debf0333008f686634e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea687406a05d37d0761cd1a3455c804f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773ba4a7e65c27fb359ba7aadd49f797.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d344174267f996c7cefecfd6985d380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75cbe607b41f76db6418ce01831a1d42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4d9e604bcc449034230149a89d746a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fdb50eea11f40d9f3c37052c45894a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57aabc9b21bc15ae35720679a7b6d1ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10772b376bc43eb5c33cfd7ba9771657.png)
(1)求2的完美3维向量集;
(2)判断是否存在完美4维向量集,并说明理由;
(3)若存在A为T的完美n维向量集,求证:A的所有元素的第k分量和
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/912092af5b5301c659e6e86a7e858f38.png)
您最近一年使用:0次
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|
657次组卷
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2卷引用:2024届江西省九江市二模数学试题
名校
4 . 已知直线
是曲线
上任一点
处的切线,直线
是曲线
上点
处的切线,则下列结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6263576e5c3f2324a8dac311476bf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/428d922e63d8a0838da6fdacee919ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c78ccece5385affcbbe686da56409d69.png)
A.当![]() ![]() ![]() ![]() |
B.存在![]() ![]() |
C.若![]() ![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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3卷引用:江西省南昌市2024届高三第一次模拟测试数学试题
名校
解题方法
5 . 已知数列
为有穷正整数数列.若数列A满足如下两个性质,则称数列A为m的k减数列:
①
;
②对于
,使得
的正整数对
有k个.
(1)写出所有4的1减数列;
(2)若存在m的6减数列,证明:
;
(3)若存在2024的k减数列,求k的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/281440c5e428da28c0a40fecbb87a83a.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed25314606b875ae6cdfa2d073c73c85.png)
②对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/937c09d82c480e4d67f8a48d3f66c5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad7ae1214cc78e72fb613d7e649bc27b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4b3392579424244c50ddf416ee3434d.png)
(1)写出所有4的1减数列;
(2)若存在m的6减数列,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f409ce4e6aa8638fe5880009dbb732f7.png)
(3)若存在2024的k减数列,求k的最大值.
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9卷引用:江西省赣州市南康中学2024届高三“九省联考”考后模拟训练数学试题(一)
江西省赣州市南康中学2024届高三“九省联考”考后模拟训练数学试题(一)北京市通州区2024届高三上学期期末摸底考试数学试题安徽省合肥一六八中学2024届高三“九省联考”考后适应性测试数学试题(二)2024届广东省新改革高三模拟高考预测卷一(九省联考题型)数学试卷(已下线)(新高考新结构)2024年高考数学模拟卷(三)(已下线)信息必刷卷01湖南省长沙市雅礼中学2024届高三下学期数学月考试卷(八)(已下线)数学(江苏专用01)山东省日照市五莲县第一中学2024届高考模拟预测(一)数学试题
名校
6 . 已知无穷数列
,
.性质
,
,;性质
,
,
,下列说法中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61afe83270a244e2af1995c9f4f51f72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8af17844e7059b9c96c75c8440671eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc5a0c2ef759ad38721f51ad2298c66e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd0971a0dad04b09fab7c3f0eafe5b24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44e7bd4fde43499209812ba20f87286c.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若等比数列![]() ![]() |
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3卷引用:江西省南昌市第二中学2024届高三“九省联考”考后适应性测试数学试题(一)
名校
解题方法
7 . 已知
为有穷正整数数列,且
,集合
.若存在
,使得
,则称
为
可表数,称集合
为
可表集.
(1)若
,判定31,1024是否为
可表数,并说明理由;
(2)若
,证明:
;
(3)设
,若
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67905ad53186bb2908b603bc14005d10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/702dcfe2523f774f6bc4f075f3d24fe6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80566aaf96db9c785cda10dc0935c1c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84076d0854ef7c1a99a937fd50b25843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c6985405452b5d04bd0d3305544cc2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c93e3391890fc877c761121b68cb927.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54119668d2f6cbc9ce0cb92310037713.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c93e3391890fc877c761121b68cb927.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b83efe191fb8adaf89737c03ef34d1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c93e3391890fc877c761121b68cb927.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ebfe653088b1a534d0731947db43d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/562441c2767a65f3671afa93b190126b.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffceb52b543819898a9a6fc96d7337e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7eab142f716f69be57d3f4ca2197894.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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7卷引用:江西省南昌市第二中学2024届高三“九省联考”考后适应性测试数学试题(三)
8 . 定义:设二元函数
在点
的附近有定义,当
固定在
而
在
处有改变量
时,相应的二元函数
有改变量
,如果
存在,那么称此极限为二元函数
在点
处对
的偏导数,记作
.若
在区域D内每一个点
对
的偏导数都存在,那么这个偏导数就是一个关于x,y的二元函数,它就被称为二元函数
对自变量
的偏导函数,记作
.已知
,若
,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e664fa90a859ab05fe49972a474a5fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b4f86e48e2b0d63c1865c60ed1e4d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8112f9185c7d48b015d9cd0525616b31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1268e217016ff7e12b9bc51341c4cde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e664fa90a859ab05fe49972a474a5fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81443d23814e97aca7dc31d6a6761e37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9b46f5293a40631887c03efab57a24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e664fa90a859ab05fe49972a474a5fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b4f86e48e2b0d63c1865c60ed1e4d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/205aa63ae7eac640729254cccc919a33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e664fa90a859ab05fe49972a474a5fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e664fa90a859ab05fe49972a474a5fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d827cd88fa489081f6de96c9b1949d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a0767e51cf2027ba71e6ec233b3de0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4642bed61cb89af0efa1c53294541f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bc92eb72cfdadd35f9f514090b40b8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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526次组卷
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4卷引用:江西省2024届高三上学期12月统一调研测试数学试题
江西省2024届高三上学期12月统一调研测试数学试题江西省赣州市大余县部分学校2024届高三上学期12月统一调研测试数学试题(已下线)高二 模块3 专题1 第4套 小题进阶提升练(已下线)高二 模块3 专题1 第4套 小题进阶提升练(苏教版)
名校
解题方法
9 . 已知定义在
的函数
满足:①对
恒有
;②对任意的正数
,
恒有
.则下列结论中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6a8984aa398bf767ccd9a601d77983.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a66d161030ad93973d77b1c53dec8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5386d0aff1b962f99b5565adb9a58cbf.png)
A.![]() |
B.过点![]() ![]() |
C.对![]() ![]() |
D.若![]() ![]() ![]() |
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6卷引用:江西省抚州市临川第一中学2024届高三“九省联考”考后适应性测试数学试题(一)
江西省抚州市临川第一中学2024届高三“九省联考”考后适应性测试数学试题(一)湖北省黄冈市部分普通高中2024届高三上学期阶段性教学质量监测数学试题广东省广州市广东实验中学2024届高三上学期大湾区数学冲刺卷(三)(已下线)第五章 一元函数的导数及其应用(压轴题专练,精选34题)-2023-2024学年高二数学单元速记·巧练(人教A版2019选择性必修第二册)湖南省长沙市明德中学2023-2024学年高二下学期开学考试数学试卷2024届高三新高考改革数学适应性练习(九省联考题型)
名校
解题方法
10 . 已知实数m,n满足
,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d4b55b21e776a254f07f56fab5c958.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8c294fe813bfa5e8ef0c612c7d1d1a9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5卷引用:江西省赣州市南康中学2024届高三上学期新高考“七省联考”考前数学猜题卷(一)
江西省赣州市南康中学2024届高三上学期新高考“七省联考”考前数学猜题卷(一)河南省部分名校2023-2024学年高三上学期阶段性测试(三)(11月)数学试题江苏省扬州市扬州中学2024届新高考一卷数学模拟测试一(已下线)模块五 全真模拟篇 基础1 期末终极研习室(2023-2024学年第一学期)高三广东省佛山市第一中学2024届高三下学期开学预测数学试题(一)