板浦高级中学高二数学周周练试卷

板浦高级中学高二数学周周练试卷

选择、填空题部分

一、选择题：（本大题共13小题，每小题5分，满分65分）

1．下列关于算法的说法中，正确的是………………………………………………………（）A．算法的实质就是解决问题的一般方法，并把解决问题的步骤用具体化、程序化的语言加以表述

B．对某一确定的问题来说，其算法是唯一的

C．任何一种算法都必须包含顺序结构、选择结构、循环结构三种结构

D．算法只有两种表示方法，即用自然语言和流程图表示

2．家中配电盒至电视的线路断了，检测故障的算法中，第一步检测的是………………（）

A、靠近电视的一小段，开始检查

B、电路中点处检查

C、靠近配电盒的一小段，开始检查

D、随机挑一段检查

3．下列叙述中正确的是………………………………………………………………………（）

A、从频率分布表可以看出样本数据对于平均数的波动大小

B、频数是指落在各个小组内的数据

C、每小组的频数与样本容量之比是这个小组的频率

D、组数是样本平均数除以组距

4．给出以下四个问题：①输入一个数x，输出它的相反数；②求面积为6的正方形的周长；③求三

个数a，b，c中的最大数；④求函数

10

()

20

x x

f x

x x

-≥

?

=?

+<

?

的函数值．其中不需要用条件语句来描述

其算法的有…………………………………………………………………………（）

A、1个

B、2个

C、3个

D、4个

5．如图所示给出的四个流程图，其中满足while语句结构的有：…………………………（）

A、4个

B、3个

C、2个

D、1个

6．连云港市公共交通公司为了解本市各公交线路的客流量情况，抽取一周时间内对客流量进行调查，所抽查的一周各条线路客流量是这个问题的：…………………………………（）

A、总体

B、个体

C、一个样本

D、样本容量

7．某社区有400个家庭，其中高等收入家庭120户，中等收入家庭180户，低收入家庭100户.为了调查社会购买力的某项指标，要从中抽取一个容量为100的样本记作①；某校高一年级有12名女排球运动员，要从中选出3人调查学习负担情况，记作②；那么，完成上述2项调查应采用的抽样方法是……………………………………………………………………………（）

A.①用随机抽样法，②用系统抽样法

B.①用分层抽样法，②用随机抽样法

C.①用系统抽样法，②用分层抽样法

D.①用分层抽样法，②用系统抽样法

8．从2006名学生中选取50名组成参观团，若采用下面的方法选取：先用简单随机抽样从2006人中剔除6人，剩下的2000人再按系统抽样的方法进行，则每人入选的机会………（）

A、不全相等

B、均不相等

C、均相等

D、无法确定

9．某校高中共有900个人，其中高一年级300人，高二年级200人，，高三年级400人，现采用分

Print

B

C

D

层抽样法抽取容量为45的样本，那么高一，高二，高三年级抽取的人数分别为 ……（ ） A 、15，5，20 B 、15，15，15 C 、10，5，30 D ，15，10，20 10．执行算法程序的结果是……………………………………………………………………（ ） A 、

、251001

第10题 第11题

11．上面为一个求20个数的平均数的程序，在横线上应填充的语句为…………………（ ）

A 、i>20

B 、i<20

C 、i ≥20

D 、i ≤20 12．一个容量为20的样本数据，数据的分组及各组的频数如下：

（10，20），2；（20，30），3；（30，40），4；（40，50），5；（50，60），4；（60，70），2． 则样本在区间（-∞，50）上的可能性为………………………………………………（ ） A 、0.5 B 、0.7 C 、0.25 D 、0.05

13.下面的四个流程图经过执行后的结果是2

222100642++++ 的是………………（ ）

二、填空题（本大题共5小题，每小题5分，满分25分）

14．一工厂生产了某种产品16800件，它们来自甲、乙、丙3条生产线，为检查这批产品的质量，决

定采用分层抽样的方法进行抽样，已知从甲、乙、丙3条生产线抽取的个体数组成一个等差数列，则乙生产线生产了 件产品． 15．下图伪代码运行输出的n 的值是_____ ______．

A

16．阅读右侧流程图：

则此流程图所表示的意义为： 算法．

17．某企业三月中旬生产A 、B 、C 三种产品共3000件，根据分层抽样的结果，企业统计员制作了

量比C 产品的样本容量多10，请你根据以上信息补全表格中的数据．

18．为了了解某地区高三学生身体发育情况，抽查了该地区100名年龄为17.5岁~１８岁的男生体重

(kg) ,得到频率分布直方图，如图.根据右图可得这100名学生中体重在〔56.5,64.5〕的学生人数是 。

答题纸部分

一、选择题(5分×13=65分) 二、填空题(5分×5=25分)

14． 15． 16．

17．①②③④（都写正确给5分）

18．

三、解答题：（本大题共4小题；共50分．解答应写出文字说明、证明过程或演算步骤）19．（本题满分8分）

根据下面所给的伪代码画出流程图，并写出输出的结果．

20．(本题满分12分)

某地区中小学生人数的分布情况如下表所示（单位：人）

请根据上述数据，设计一个样本容量为总体中个体数量的千分之一的抽样方案．

21．(本题满分14分，画出流程图满分7分，写出伪代码满分7分)

已知1

24(2](22)2[2)x x x y x x ---∈-∞-?=∈-∈+∞?，

，，，，，．

试设计一个算法，输入x ，计算y 的值. 要求画出流程图，并写出伪代码.

22．(本题满分16分，第一小题4分、二小题4分，第三小题2分，第四小题6分)

某房地产公司对参加本次房交会的消费者进行了随机问卷调查，共发放1000份调查问卷，并全部收回，根据调查问卷，制成表1，表2及频数分布直方图．

表1 被调查的消费者年收入情况

表2 被调查的消费者打算购买住房的面积的情况（注：住房面积取整数）

请根据以上信息，回答下列问题：

（1）根据表1可得，年收入万元的人数最多，最多的有人；（2）根据表2可得，打算购买100.5～120.5平方米房子的人数是人；

打算购买面积不超过100平方米的消费者的人数占被调查人数的百分数是；（3）在下面图中补全这个频数分布直方图；

（4）计算被调查的消费者年收入的平均数．

参考答案

1-13 ABCBC CBCDB ABD 14.5600 15.316.求三个数中最小数的17.900，800，90，8018. 40

19.解：（1）流程图见右：

开始 S←0 I←1

S←2S+3

I←I+2

I>11↓↓↓输出S 结束

↓↓Y N

↑↑

←

S>20

Y N

↑

S←S-20↑←

（2）运行6次，结果为9．

20.由于总体中的个体差异较大,因而采用分层抽样.

①采用分层抽样，分成9层;城市小学357000人，县区小学220800人，……；②采用系统抽样,分别进行相应的剔除、分组，每组1000人；③在每组中采用简单随机抽样，每组抽取1人，得出样本。 21.

22. （1）1.8 500 （2）240 （3）52% （4）2.455

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