1 . 一个袋中装有大小质地完全相同的
个红球和
个白球
,从中任取3个球.记取出的白球个数为
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
___________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d419c30ff40e9b368a3f151f639dac8f.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad491e5b5e14c49ef8b7004ebcfcef9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92016fdef097f3e67e0f48ca3aaf4b1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd48a0cff875e4d39b1b6bfd0c853f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d419c30ff40e9b368a3f151f639dac8f.png)
您最近一年使用:0次
2022-04-14更新
|
624次组卷
|
2卷引用:浙江省宁波市2022届高三下学期二模数学试题
2 . 在抗击疫情期间,某区对3位医生、2位护士和1位社区工作人员进行表彰并合影留念.现将这6人随机排成一排,设3位医生中相邻人数为
(若互不相邻,则
;有且仅有2人相邻,则
;3人连在一起,则
),2位护士中相邻人数为
,记
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dbb2688eec53d5070fb349784855604.png)
__________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d419c30ff40e9b368a3f151f639dac8f.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d388f32e318b0c7f2d9d10a5c6525b15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ca24d3954514ba5af32fe46b0d549c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ee8253439e5d264761f8a828ee67f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0c4cb9e7455a0a228853f7ce655cf73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90f1ce5bbcc57f96d99d2c4f27cc2e42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9722a35d0ccac1bea76b2df421fc4f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dbb2688eec53d5070fb349784855604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d419c30ff40e9b368a3f151f639dac8f.png)
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解题方法
3 . 袋子中有除颜色外形状完全相同的3个红球,2个白球.每次拿一个球,不放回,共拿两次.设拿出的白球个数为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61d4a06e746468c4f1ccbd124d9b9142.png)
________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c307c420a3546176fbe7fc250252b2.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61d4a06e746468c4f1ccbd124d9b9142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c307c420a3546176fbe7fc250252b2.png)
您最近一年使用:0次
4 . 袋中有1个白球,2个黄球,2个红球,这5个小球除颜色外完全相同,每次不放回的从中取出1个球,取出白球即停,记X为取出的球中黄球数与红球数之差,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b6211c8def34f3c47f0fa4506221c2.png)
___________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/223770da09feb2fc824764188e924d7e.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b6211c8def34f3c47f0fa4506221c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/223770da09feb2fc824764188e924d7e.png)
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解题方法
5 . 一质点从
的顶点
出发,每次随机沿一条边运动至另一个顶点时终止,则质点3次运动结束后恰好位于顶点
的概率![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e989c65b1aaa8812e0e8bb6983c2bd0.png)
______ ,记质点 4次运动过程中经过顶点
(包括第4次运动结束)的次数是
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac87b4bd71432d757c7b78bbd6b2dcfd.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e989c65b1aaa8812e0e8bb6983c2bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac87b4bd71432d757c7b78bbd6b2dcfd.png)
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6 . 有4个同学一起坐上公交车后,分别在后面三个不同车站中的某个车站下车,且每个车站至少有一人下车,用
表示在第二个车站下车的人数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/510bad4f0a81ec3804d8ce60e9f0f8ee.png)
___________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c307c420a3546176fbe7fc250252b2.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/510bad4f0a81ec3804d8ce60e9f0f8ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c307c420a3546176fbe7fc250252b2.png)
您最近一年使用:0次
解题方法
7 . 将一枚质地均匀的骰子连续投掷3次,若每一次投掷时出现“1点”或“2点”正面朝上,则称该次实验成功,3次投掷中成功次数记为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c307c420a3546176fbe7fc250252b2.png)
___________ ;记第
次正面朝上的点数为
,发生“
”的事件为A,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0f9f484b4f713ac2736bcca78655426.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c307c420a3546176fbe7fc250252b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8e1ef4f5564fe17218bd4d1bc2b9b56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94db0f34978c908a3e8f2197d55d8482.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0f9f484b4f713ac2736bcca78655426.png)
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8 . 已知
,记随机变量
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05d5bda893c4a23b6bcfe79753d7e632.png)
___________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac87b4bd71432d757c7b78bbd6b2dcfd.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3424daa30937a04acf8fe09ad898a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c9afe1030c45bf79cb0adb2bea2919.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05d5bda893c4a23b6bcfe79753d7e632.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac87b4bd71432d757c7b78bbd6b2dcfd.png)
您最近一年使用:0次
名校
9 . 在
这
个自然数中,任取
个数,
(1)这
个数中恰有
个是偶数的概率是_______ ;(用数字作答)
(2)设
为这
个数中两数相邻的组数(例如:若取出的数为
,则有两组相邻的数
和
,此时
的值是
).则随机变量
的数学期望![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d419c30ff40e9b368a3f151f639dac8f.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a073b20c885f0b64286c6441a181b8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d02ea8c4988c5c28ab93f0d70fb55a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
(1)这
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/680e9ef551b325387ab31dca1f893705.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8276d70443c3f3c3cbdf128fae8925c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9501577548506b7958d7e43d3e592f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d419c30ff40e9b368a3f151f639dac8f.png)
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名校
解题方法
10 . 现有12个不同的小球,其中红色、黄色、蓝色、绿色小球各3个,从中任取3个,所取三球中含有红色球的概率为____________ ;若所取三球中红色小球和黄色小球都至少各一个,则不同取法种数为____________ .(用数字作答)
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