题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011037-41887.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011037-26627.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011037-31602.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011038-54263.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011038-83155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011038-22717.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011038-76927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011038-69611.png)
(2)令C表示事件
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011038-69611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011039-58405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011039-21573.png)
(3)对(2)中的事件C,
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011039-28179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011039-21573.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011039-62193.png)
答案
![]() | 2 | 3 | 4 | 5 |
P | ![]() | ![]() | ![]() | ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011040-14564.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011040-94921.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011040-50389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011041-39959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011041-53670.png)
(3)当
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011040-94921.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011041-78193.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011041-39959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011041-37989.png)
解析
试题分析:(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011038-76927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011042-41299.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011038-69611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011040-91804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011040-82907.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011040-82907.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011040-91804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011042-18948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011038-69611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011039-58405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011042-72678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011038-69611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011039-58405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011042-38442.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011038-69611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011039-58405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011043-67599.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011038-69611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011039-58405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011043-99700.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011043-77714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011038-69611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011039-58405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011043-70382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011044-57987.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011038-69611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011039-58405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011044-41897.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011044-12270.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011040-94921.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011040-50389.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011041-39959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011041-53670.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011040-94921.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011044-74614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011041-78193.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011041-39959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011041-37989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011041-39959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011044-63499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011045-56533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011045-57770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011045-76217.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011045-33461.png)
试题解析:(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011038-76927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011038-69611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011042-41299.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011038-69611.png)
![]() | 2 | 3 | 4 | 5 |
P | ![]() | ![]() | ![]() | ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011045-27381.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011038-69611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011039-58405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011042-72678.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011038-69611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011039-58405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011042-38442.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011038-69611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011039-58405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011043-67599.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011038-69611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011039-58405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011044-41897.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011044-12270.png)
所以当
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011040-94921.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011040-50389.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011041-39959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011041-53670.png)
(3)由(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011040-94921.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011044-74614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011041-78193.png)
而当
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011041-39959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011041-37989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011041-37989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011045-56533.png)
用数学归纳法来证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011046-34622.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011038-76927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011046-45035.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011046-45560.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011046-86816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011047-36839.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011047-28467.png)
那么,当
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011045-57770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011047-91380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011047-31761.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011047-68856.png)
即当
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011045-57770.png)
综合
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011046-34622.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011046-86816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011041-39959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011048-31339.png)
核心考点
试题【(满分14分)随机将这2n个连续正整数分成A,B两组,每组n个数,A组最小数为,最大数为;B组最小数为,最大数为,记(1)当时,求的分布列和数学期望;(2)令C】;主要考察你对古典概型的概念及概率等知识点的理解。[详细]
举一反三
A.![]() | B.![]() | C.![]() | D.![]() |
根据世行2013年新标准,人均GDP低于1035美元为低收入国家;人均GDP为1035-4085元为中等偏下收入国家;人均GDP为4085-12616美元为中等偏上收入国家;人均GDP不低于12616美元为高收入国家.某城市有5个行政区,各区人口占该城市人口比例及人均GDP如下表:
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011017-61725.png)
(1)判断该城市人均GDP是否达到中等偏上收入国家标准;
(2)现从该城市5个行政区中随机抽取2个,求抽到的2个行政区人均GDP都达到中等偏上收入国家标准的概率.
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011008-81365.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011008-92309.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011008-59845.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011008-89251.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011009-90183.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191027/20191027011008-81365.png)
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