2014-2015学年河北省正定中学高二上学期期末考试数学试卷(带解析)

适用年级:高二
试卷号:621242

试卷类型:期末
试卷考试时间:2017/7/20

1.单选题(共6题)

1.
“实数”是“直线和直线 相互平行”的(   )
A.充要条件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
2.
若定义在R上的函数满足,且当时,,函数,则函数在区间内的零点的个数为()
A.6B.7C.8D.9
3.
一个棱锥的三视图如图所示,则这个棱锥的体积是 (    )
A.6 B.12 C.24 D.36
4.
若直线和⊙O∶相离,则过点的直线与椭圆的交点个数为(    )
A.至多一个B.2个C.1个D.0个
5.
已知研究之间关系的一组数据如下表所示,则的回归直线方程
必过点(   )   

0
1
2
3

1
3
5
7
 
A.B.C.D.
6.
执行下图所示的程序框图,若输入,则输出的值为
A.B.C.D.

2.选择题(共3题)

7.用方框中所给单词的适当形式完成下面的短文

make, with, everything, like, other, it, photo, interesting

    Skin-diving (轻装潜水)is a new sport today. Many people show interest in this sport. Some go under water to see beautiful scenes(景色).{#blank#}1{#/blank#}go down into deep(深的) water to take pictures of swimming fish. It is not dark under water and there are a lot of big or little fish living there. Some of them use the sand to {#blank#}2{#/blank#}their homes. If you are under water, you will find you are just in a fish village.

    There is no wind under water.{#blank#}3{#/blank#} is blue and green. During the day, there is much light. Sometimes people do not have to use a flash(闪关灯)to take {#blank#}4{#/blank#}under water.

    This sport takes you into a wonderful new world. When you are under water,{#blank#}5{#/blank#} is easy for you to carry a big stone(石头). It is{#blank#}6{#/blank#}a trip to the moon!

    Catching fish is one of the most {#blank#}7{#/blank#} parts of this sport. When fish swim nearby, you can catch them{#blank#}8{#/blank#} your hands.

8.用方框中所给单词的适当形式完成下面的短文

make, with, everything, like, other, it, photo, interesting

    Skin-diving (轻装潜水)is a new sport today. Many people show interest in this sport. Some go under water to see beautiful scenes(景色).{#blank#}1{#/blank#}go down into deep(深的) water to take pictures of swimming fish. It is not dark under water and there are a lot of big or little fish living there. Some of them use the sand to {#blank#}2{#/blank#}their homes. If you are under water, you will find you are just in a fish village.

    There is no wind under water.{#blank#}3{#/blank#} is blue and green. During the day, there is much light. Sometimes people do not have to use a flash(闪关灯)to take {#blank#}4{#/blank#}under water.

    This sport takes you into a wonderful new world. When you are under water,{#blank#}5{#/blank#} is easy for you to carry a big stone(石头). It is{#blank#}6{#/blank#}a trip to the moon!

    Catching fish is one of the most {#blank#}7{#/blank#} parts of this sport. When fish swim nearby, you can catch them{#blank#}8{#/blank#} your hands.

9.

下列各式计算正确的是(  )

3.填空题(共3题)

10.
(1)“数列为等比数列”是“数列为等比数列”的充分不必要条件.
(2)“”是在区间上为增函数”的充要条件.
(3)已知命题,使得,使得.则 是真命题.
(4)设分别是的内角的对边,若.则的必要不充分条件.
其中真命题的序号是   (写出所有真命题的序号)
11.
已知函数,若存在,使得成立,则实数 
的取值范围是
12.
内任取一个实数,设,则函数的图像与轴有公共点的概率等于

4.解答题(共5题)

13.
(本小题满分12分)设,函数.
(1)若函数的图象在处的切线与直线平行,求的值;
(2)若,求函数的极值与单调区间;
(3)若函数的图象与直线有三个公共点,求的取值范围.
14.
(本小题满分12分)在三角形中,.
(1)求角的大小;
(2)若,且,求的面积.
15.
(本小题满分10分)已知为等比数列,其中,且成等差数列.
(1)求数列的通项公式;
(2)设,求数列的前项和.
16.
(本小题满分12分)如图,棱锥中, 底面,底面是矩形,.

(1)求证:平面⊥平面
(2)在边上是否存在一点,使得点到平面的距离为2,若存在,求的值,若不存在,请说明理由。
17.
某工厂生产两种元件,其质量按测试指标划分为:大于或等于为正品,小于为次品.现从一批产品中随机抽取这两种元件各件进行检测,检测结果记录如下:






B





 
由于表格被污损,数据看不清,统计员只记得,且两种元件的检测数据的平均值相等,方差也相等.
(1)求表格中的值;
(2)从被检测的种元件中任取件,求件都为正品的概率.
试卷分析
  • 【1】题量占比

    单选题:(6道)

    选择题:(3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:14