2015-2016学年安徽省宣城、郎溪、广德中学高二上期中文科数学试卷(带解析)

适用年级:高二
试卷号:628277

试卷类型:期中
试卷考试时间:2017/7/20

1.单选题(共8题)

1.
设命题p:函数的图象向左平移单位得到的曲线关于y轴对称;命题q:函数在[-1,+∞)上是增函数.则下列判断正确的是( )
A.p为假命题B.为假命题
C.p∧q为真命题D.p∨q为真命题
2.
均为直线,其中在平面内,则的(   )
A.充分必要条件B.必要不充分条件
C.充分不必要条件D.既不充分也不必要条件
3.
总体由编号为01,02,…,19,20的20个个体组成.利用下面的随机数表选取5个个体,选取方法从随机数表第1行的第5列和第6列数字开始由左到右依次选取两个数字,则选出来的第5个个体的编号为(   )
A.08B.07C.02D.01
4.
若样本数据的标准差为,则数据的标准差为
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.
一块各面均涂有油漆的正方体被锯成27个大小相同的小正方体,若将这些小正方体均匀地搅混在一起,则任意取出一个正方体其一面涂有油漆的概率是 (  )
A.B.C.D.
7.
执行如图所示的程序框图,若输出的结果是,则判断框内的取值范围是( )
A.B.C.D.
8.
计算机是将信息转换成二进制数进行处理的,二进制即“逢二进一”,如:表示二进制的数,将它转换成二进制的形式是,那么将二进制数转换成十进制的结果是()
A.B.C.D.

2.选择题(共1题)

9.

   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)

10.
命题“”的否定是   
11.
为了考察某校各班参加课外书法小组的人数,在全校随机抽取5个班级,把每个班级参加该小组的认为作为样本数据.已知样本平均数为7,样本方差为4,且样本数据互相不相同,则样本数据中的最大值为  .
12.
用秦九韶算法求多项式时的值的过程中

4.解答题(共5题)

13.
已知,关于的一元二次方程,求上述两个方程的根都是整数的充要条件.
14.
设有关于的一元二次方程
(Ⅰ)若是从四个数中任取的一个数,是从三个数中任取的一个数,求上述方程有实根的概率.
(Ⅱ)若是从区间任取的一个数,是从区间任取的一个数,求上述方程有实根的概率.
15.
为选拔选手参加“中国谜语大会”,某中学举行了一次“谜语大赛”活动.为了了解本次竞赛学生的成绩情况,从中抽取了部分学生的分数(得分取正整数,满分为100分)作为样本(样本容量为)进行统计.按照的分组作出频率分布直方图,并作出样本分数的茎叶图(图中仅列出了得分在的数据).
(Ⅰ)求样本容量和频率分布直方图中的的值;
(Ⅱ)在选取的样本中,从竞赛成绩在80分以上(含80分)的学生中随机抽取3
名学生参加“中国谜语大会”,设随机变量表示所抽取的3名学生中得分在内的学生人数,求随机变量的分布列及数学期望.
16.
改革开放以来,我国高等教育事业有了突飞猛进的发展,有人记录了某村年五年间每年考入大学的人数,为了方便计算,年编号为年编号为,……,年编号为,数据如下:

根据这年的数据,利用最小二乘法求出关于的回归方程,并计算第年的估计值.
参考:用最小二乘法求线性回归方程系数公式
17.
将一颗质地均匀的正方体骰子(六个面的点数分别为1,2,3,4,5,6)先后抛掷两次,将得到的点数分别记为
(Ⅰ)求直线与圆相切的概率;
(Ⅱ)将的值分别作为三条线段的长,求这三条线段能围成等腰三角形的概率.
试卷分析
  • 【1】题量占比

    单选题:(8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:16