广西南宁市马山县金伦中学“4+ N”高中联合体2018-2019学年高二上学期期中考试数学(文)试题

适用年级:高二
试卷号:628080

试卷类型:期中
试卷考试时间:2018/12/11

1.单选题(共12题)

1.
若集合,那么  
A.B.C.D.
2.
函数为自然对数的底数的图象可能是  
A.B.C.D.
3.
ABC的两边长分别为2,3,其夹角的余弦值为,则其外接圆的半径
为(  )
A.B.C.D.
4.
已知点,则  
A.B.C.D.
5.
等比数列{an}中,,则的等比中项是(  )
A.±4B.4C.D.
6.
已知等差数列中,若,则它的前项和为(  )
A.B.C.D.
7.
在等比数列中,已知其前n项和,则a的值为  
A.B.1C.D.2
8.
设变量x, y满足约束条件则目标函数z = y-2x的最小值为()
A.-7B.-4C.1D.2
9.
,则下列结论不正确的是  
A.B.C.D.
10.
若关于x的不等式在区间内有解,则实数a的取值范围是  
A.B.C.D.
11.
甲、乙、丙三位同学站成一排照相,则甲、丙相邻的概率为(    )
A.B.C.D.
12.
执行如图所示的程序框图,输出的S值为
A.43B.55C.61D.81

2.选择题(共1题)

13.

选词填空

other, move, enough, find ,desert, make, use ,
another, friend , carry , trouble, friendly

You may think there is nothing but sand in the desert of the world, but it is not true. In the desert we can{#blank#}1{#/blank#} stones. We can see hills, too. There is a little rain in the {#blank#}2{#/blank#}  , but it is not{#blank#}3{#/blank#}  for most plants.
  The animals are {#blank#}4{#/blank#} to the desert people in many ways. The desert people eat the meat and drink the milk of the animals. They use their skins to {#blank#}5{#/blank#} shoes, water bags and even tents(帐篷). They use the camels(骆驼) for{#blank#}6{#/blank#}  things.
The people of the desert have to keep {#blank#}7{#/blank#}  from places to place. They must always look for grass or desert plants for their animals. They usually live in the tents. When there is mo more food for their animals, they take down their tents, put them on the camels and move to {#blank#}8{#/blank#} place. The desert people are very{#blank#}9{#/blank#} . No man in the desert would ever refuse to help the people in {#blank#}10{#/blank#}  and give them food and water

3.填空题(共4题)

14.
已知向量,若,则实数__________
15.
某公司一年购买某种货物吨,每次购买吨,运费为万元/次,一年的总存储费用为万元.要使一年的总运费与总存储费用之和最小,则的值是__________.
16.
平面截球O的球面所得圆的半径为1,球心O到平面的距离为,则此球O的体积为______.
17.
直线与圆交于两点,则________.

4.解答题(共6题)

18.
设锐角三角形ABC的内角ABC的对边分别为abc.
(1)求B的大小.
(2)若,求b.
19.
在△ABC中,a,b,c分别为内角A,B,C的对边,且asin B=-bsin.
(1)求A;
(2)若△ABC的面积S=c2,求sin C的值.
20.
已知数列为递增的等比数列,
(Ⅰ)求数列的通项公式;
(Ⅱ)记,求数列的前项和
21.
在等差数列中,为其前项和,且
(1)求数列的通项公式;
(2)设,求数列的前项和
22.
正方形与梯形所在平面互相垂直,,点中点 .

(1)求证:平面
(2)求三棱锥的体积.
23.
柴静《穹顶之下》的播出,让大家对雾霾天气的危害有了更进一步的认识,对于雾霾天气的研究也渐渐活跃起来,某研究机构对春节燃放烟花爆竹的天数x与雾霾天数y进行统计分析,得出下表数据:
x
4
5
7
8
y
2
3
5
6
 
(1)请画出上表数据的散点图;
(2)请根据上表提供的数据,用最小二乘法求出关于的线性回归方程
(3)试根据(2)求出的线性回归方程,预测燃放烟花爆竹的天数为的雾霾天数.
试卷分析
  • 【1】题量占比

    单选题:(12道)

    选择题:(1道)

    填空题:(4道)

    解答题:(6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:22