2018-2019学年人教版高中数学必修3第三章章末评估验收(三)

适用年级:高一
试卷号:628063

试卷类型:课时练习
试卷考试时间:2018/9/30

1.单选题(共12题)

1.
为美化环境,从红、黄、白、紫4种颜色的花中任选2种花种在一个花坛中,余下的2种花种在另一个花坛中,则红色和紫色的花不在同一花坛的概率是
A.B.C.D.
2.
随机掷两枚质地均匀的骰子,它们向上的点数之和不超过5的概率记为p1,点数之和大于5的概率记为p2,点数之和为偶数的概率记为p3,则(   )
A.p1p2p3B.p2p1p3
C.p1p3p2D.p3p1p2
3.
甲、乙两人玩猜数字游戏,先由甲心中想一个数字,记为a,再由乙猜甲刚才所想的数字,把乙猜的数字记为b,其中a,b∈{1,2,3,4,5,6},若|a-b|≤1,就称甲乙“心有灵犀”.现任意找两人玩这个游戏,则他们“心有灵犀”的概率为()
A.B.C.D.
4.
给甲、乙、丙三人打电话,若打电话的顺序是任意的,则第一个打电话给甲的概率是(  )
A.B.C.D.
5.
如下四个游戏盘,现在投镖,投中阴影部分概率最小的是 ( )
A.B.
C.D.
6.
某人向平面区域内任意投掷一枚飞镖,则飞镖恰好落在单位圆x2+y2=1内的概率为(  )
A.B.C.D.
7.
在一个不透明的袋中,装有若干个颜色不同外其余都相同的球,如果袋中有3个红球且摸到红球的概率为,那么袋中球的总个数为(  )
A.10B.11C.12D.13
8.
一个球形容器的半径为3 cm,里面装满纯净水,因不小心混入了1个感冒病毒,从中任取1 mL水含有感冒病毒的概率为(  )
A.B.C.D.
9.
下列说法中正确的是(  )
A.若事件A与事件B是互斥事件,则P(A)+P(B)=1
B.若事件A与事件B满足条件:P(A)+P(B)=1,则事件A与事件B是对立事件
C.一个人打靶时连续射击两次,则事件“至少有一次中靶”与事件“至多有一次中靶”是对立事件
D.把红、橙、黄、绿4张纸牌随机分给甲、乙、丙、丁4人,每人分得1张,则事件“甲分得红牌”与事件“乙分得红牌”是互斥事件
10.
手表实际上是个转盘,一天24小时,分针指到哪个数字的概率最大(  )
A.12B.6C.1D.12个数字概率相等
11.
下列事件中,随机事件的个数为(  )
①在学校明年召开的田径运动会上,学生张涛获得100米短跑冠军;
②在体育课上,体育老师随机抽取一名学生去拿体育器材,抽到李凯;
③从标有1,2,3,4的4张号签中任取一张,恰为1号签.
A.0B.1C.2D.3
12.
将区间[0,1]内的均匀随机数x1转化为区间[-2,2]内的均匀随机数x,需要实施的变换为(  )
A.xx1*2B.xx1*4
C.xx1*2-2D.xx1*4-2

2.选择题(共1题)

13.

   Ron loved basketball. One afternoon on his way to a basketball game, he was walking and dreaming about playing college basketball the following year. As Ron was walking to the game, a car hit him so hard that he was thrown three feet into the air.
   Ron woke up in a hospital room. When he learned that both his legs were broken, he realized his college basketball dreams were over. Ron did what the doctors told him, but his progress was slow. When he left the hospital, Ron was sent to a health center for physical treatment.
A week after he arrived there, he met Sunny. Sunny was a coach.His legs were hurt paralysed(瘫痪的) from a skiing accident. Even though he couldn't move his legs, Sunny coached of a basketball team called the Suns. Everybody on the team played from a wheelchair. Sunny invited Tony to join the game. Tony played badly, but for the first time since the accident, he stopped feeling sorry for himself.
   After becoming a part of the Suns, Ron improved quickly. Basketball was like   medicine for him. And whenever Ron became depressed or angry, Sunny was there to encourage and help him. The day before Ron left the center, he had dinner with Sunny. He asked Sunny how he managed to be generous and cheerful, even with his paralysis.
   Sunny smiled and said, “It’s really quite easy. When you keep your face to the sun, the shadows(阴影) fall behind.”

3.填空题(共3题)

14.
已知集合A={(x,y)|x2+y2=1},集合B={(x,y)|x+y+a=0},若A∩B≠∅的概率为1,则a的取值范围是________.
15.
如图,四边形为矩形,,以为圆心,1为半径作四分之一个圆弧,在内任作射线,则射线与线段有公共点的概率为________.
16.
右图的矩形,长为5 m,宽为2 m,在矩形内随机地撒300颗黄豆,数得落在阴影部分的黄豆数为138颗,则我们可以估计出阴影部分的面积为   

4.解答题(共5题)

17.
某商场举行有奖促销活动,顾客购买一定金额的商品后即可抽奖,抽奖方法是:从装有2个红球和1个白球的甲箱与装有2个红球和2个白球的乙箱中,各随机摸出1个球,若摸出的2个球都是红球则中奖,否则不中奖.
(Ⅰ)用球的标号列出所有可能的摸出结果;
(Ⅱ)有人认为:两个箱子中的红球比白球多,所以中奖的概率大于不中奖的概率,你认为正确吗?请说明理由.
18.
某企业为了解下属某部门对本企业职工的服务情况,随机访问50名职工,根据这50名职工对该部门的评分,绘制频率分布直方图(如图所示),其中样本数据分组区间为

(1)求频率分布直方图中的值;
(2)估计该企业的职工对该部门评分不低于80的概率;
(3)从评分在的受访职工中,随机抽取2人,求此2人评分都在的概率.
19.
甲、乙两人相约于下午1:00~2:00之间到某车站乘公共汽车外出,他们到达车站的时间是随机的.设在下午1:00~2:00之间该车站有四班公共汽车开出,开车时间分别是1:15,1:30,1:45,2:00.求他们在下述情况下乘同一班车的概率:
(1)约定见车就乘;
(2)约定最多等一班车.
20.
先后抛掷两枚大小相同的骰子.
(1)求点数之和出现7点的概率;
(2)求出现两个6点的概率;
(3)求点数之和能被3整除的概率.
21.
对某班一次测验成绩进行统计,如下表所示:
分数段
[40,50)
[50,60)
[60,70)
[70,80)
[80,90)
[90,100]
概率
0.02
0.04
0.17
0.36
0.25
0.15
 
(1)求该班成绩在[80,100]内的概率;
(2)求该班成绩在[60,100]内的概率.
试卷分析
  • 【1】题量占比

    单选题:(12道)

    选择题:(1道)

    填空题:(3道)

    解答题:(5道)

  • 【2】:难度分析

    1星难题:0

    2星难题:0

    3星难题:0

    4星难题:0

    5星难题:0

    6星难题:0

    7星难题:0

    8星难题:0

    9星难题:20