名校
解题方法
1 . 袋中装有5个大小相同的球,其中有2个白球,2个黑球,1个红球,现从袋中每次取出1球,取出后不放回,取得白球得1分,取得黑球得2分,取得红球得3分,直到取到的球的总分大于或等于4分时终止,用
表示终止取球时所需的取球次数,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60176522fe861b4fffaa3ed3e37c4d58.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
2 . 水平相当的甲、乙、丙三人进行乒乓球擂台赛,每轮比赛都采用3局2胜制(即先贏2局者胜),首轮由甲乙两人开始,丙轮空;第二轮由首轮的胜者与丙之间进行,首轮的负者轮空,依照这样的规则无限地继续下去.
(1)求甲在第三轮获胜的条件下,第二轮也获胜的概率;
(2)求第
轮比赛甲轮空的概率;
(3)按照以上规则,求前六轮比赛中甲获胜局数的期望.
(1)求甲在第三轮获胜的条件下,第二轮也获胜的概率;
(2)求第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(3)按照以上规则,求前六轮比赛中甲获胜局数的期望.
您最近一年使用:0次
7日内更新
|
592次组卷
|
3卷引用:浙江省北斗星盟2023-2024学年高二下学期5月阶段性联考数学试题
浙江省北斗星盟2023-2024学年高二下学期5月阶段性联考数学试题(已下线)专题06 离散型随机变量与正态分布--高二期末考点大串讲(苏教版2019选择性必修第二册)辽宁省大连市部分学校2024届高三下学期联合模拟考试数学试题
名校
3 . 下列说法错误的个数为( )
①已知
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b08ca29db8f436e0eb09d367943a1502.png)
②已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5561372d2b22000e1bd1b275f7152d1.png)
③投掷一枚均匀的硬币5次,已知正面向上不少于3次,则出现5次正面向上的概率为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8d1ca7682da10dc7f36e858593d51f.png)
①已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ae41b4e83c79f13cb4d410ec6c642da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2b1b910246ef656d8270529cf68e1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b08ca29db8f436e0eb09d367943a1502.png)
②已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58f36e1cabd0972a7677f852793ef5e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5561372d2b22000e1bd1b275f7152d1.png)
③投掷一枚均匀的硬币5次,已知正面向上不少于3次,则出现5次正面向上的概率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8d1ca7682da10dc7f36e858593d51f.png)
A.0 | B.1 | C.2 | D.3 |
您最近一年使用:0次
7日内更新
|
246次组卷
|
2卷引用:浙江省金华市卓越联盟2023-2024学年高二下学期5月阶段联考数学试题
名校
解题方法
4 . 已知函数
是定义在
上的奇函数.
(1)求实数
的值;
(2)判断
在定义域上的单调性,并用单调性定义证明;
(3)
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13cbc2ed4bad6431037602fc427e6756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5667bc1ea875422f618529aa5f254f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e9b1365d76a10c212db1c91c5f91f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
名校
解题方法
5 . 已知数列
的前
项和为
,且
,数列
为等比数列,且
.
(1)求数列
的通项公式;
(2)若数列
满足
,记数列
的前
项和为
,数列
的前
项和为
,试比较
与
的大小.
![](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/08eb71ecf8d733b6932f4680874dbbf3.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/c3c9dd662208f828e7fc8a753443273b.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/000f01319364c59dee948848fc4de4c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbf4a5ec613c89c7a2c034cb1403649e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d1a2eab58a54124e56d327d233b5b8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63f5c583c98a1fd516c6ceaa60b55dec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63f5c583c98a1fd516c6ceaa60b55dec.png)
您最近一年使用:0次
名校
解题方法
6 . 某校工会为弘扬体育精神推动乒乓球运动的发展,现组织
、
两团体运动员进行比赛.其中
团体的运动员3名,其中种子选手2名;
团体的运动员5名,其中种子选手
名.从这8名运动员中随机选择4人参加比赛.
(1)已知
,若选出的4名运动员中恰有2名种子选手,求这2名种子选手来自团体
的概率;
(2)已知
,设
为选出的4人中种子选手的人数,求随机变量
的分布列及其期望.
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ff08619204eb9c2f86652bb54fc57eb.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
您最近一年使用:0次
名校
7 . 已知三棱锥
的四个顶点在球O的球面上,
,
是边长为6的正三角形,E为SA的中点,直线CE,SB所成角为90°,则球O的表面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/700f2f0f1cf306f7fc18d18fe91d0acb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
名校
解题方法
8 . 如图1,在等腰梯形ABCD中,
,
,E为CD中点,将
沿AE折起,使D点到达P的位置(点P不在平面ABCE内),连接PB,PC(如图2),则在翻折过程中,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a11029ca6b4b9e7f777af0280cf163c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edba78154f762c0b636754c88cf90b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63b43490ca09467a4c8cd8cfe91c94e4.png)
A.![]() | B.![]() |
C.存在某个位置,使![]() | D.PB与平面ABCE所成角的取值范围为![]() |
您最近一年使用:0次
名校
解题方法
9 . 某校从参加高一年级期中数学考试的学生中随机抽取60名学生,将其数学成绩(均为整数)分成六段
,
,
,
,
,
,后得到如下部分频率分布直方图.观察图形的信息,回答下列问题:
内的频率,并补全这个频率分布直方图;
(2)估计本次考试的平均分、中位数及
分位数的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd615c194ebc63b5219cbbcafd53448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae34f7d349643570a8d9960fb6b3bf21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e2b4990e11bd1b65f75b1498d7a2815.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63cae95a57750bcf5d15b2a4cb39873f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2901c9bc779f1f589d6de9b7674349e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e92eedc0f57edbf8acbb324dc7dfdbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63cae95a57750bcf5d15b2a4cb39873f.png)
(2)估计本次考试的平均分、中位数及
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1213c2a26a77edc9d0615b9988474c77.png)
您最近一年使用:0次
名校
10 . 在四棱锥
中,
,
,平面
平面
,
,且
.
平面
;
(2)求直线
与平面
所成角的正弦值;
(3)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d730ae4307db56b47849c3a19dedfb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db27b7f29d7d01b2692f217bc3079fc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eee296a7d9fba487f1485c61580196f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1074c943acd591413af464a28c285f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(3)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1069d514c3c32aeabd274475ee209ed6.png)
您最近一年使用:0次