安徽省亳州市涡阳第一中学2018-2019学年高一下学期第二次质量检测数学(文)试题

适用年级:高一
试卷号:618164

试卷类型:月考
试卷考试时间:2019/6/11

1.单选题(共12题)

1.
已知向量,若共线,则的值为(  )
A.B.C.D.
2.
已知,则有(  )
A.B.
C.D.
3.
已知函数的图象为,为了得到函数的图象,只要把上所有的点(  )
A.横坐标伸长到原来的2倍,纵坐标不变.
B.横坐标缩短为原来的倍,纵坐标不变.
C.纵坐标伸长到原来的2倍,横坐标不变.
D.纵坐标缩短到原来的倍,横坐标不变.
4.
已知是不共线的向量,且,则(   ).
A.ABD三点共线B.ABC三点共线
C.BCD三点共线D.ACD三点共线
5.
已知向量 ,满足,且 与 的夹角为,则
A.B.
C.D.
6.
下列各组向量中,可以作为基底的是(  )
A.B.
C.D.
7.
是夹角为的两个单位向量,则的夹角为(  )
A.B.C.D.
8.
已知向量方向上的投影为2,,则为(  )
A.2B.C.-2D.1
9.
已知中,向量,则点的轨迹通过的(  )
A.垂心B.内心C.外心D.重心
10.
的对角线的交点,则向量等于(  )
A.B.C.D.
11.
现要完成下列3项抽样调查:
①从15种疫苗中抽取5种检测是否合格.
②某中学共有480名教职工,其中一线教师360名,行政人员48名,后勤人员72名.为了解教职工对学校校务公开方面的意见,拟抽取一个容量为20的样本.
③某中学报告厅有28排,每排有35个座位,一次报告会恰好坐满了听众,报告会结束后,为了听取意见,需要请28名听众进行座谈.
较为合理的抽样方法是(   )
A.①简单随机抽样, ②分层抽样, ③系统抽样B.①简单随机抽样, ②系统抽样, ③分层抽样
C.①系统抽样,②简单随机抽样, ③分层抽样D.①分层抽样,②系统抽样, ③简单随机抽样
12.
某市举行“中学生诗词大赛”,分初赛和复赛两个阶段进行,规定:初赛成绩大于90分的具有复赛资格,某校有800名学生参加了初赛,所有学生的成绩均在区间(30,150]内,其频率分布直方图如图.则获得复赛资格的人数为()
A.640B.520C.280D.240

2.选择题(共2题)

13.选词填空:根据对话内容,从方框中选择恰当的单词填空。

believes   bad   alone   realized   games

Last term,Peter was {#blank#}1{#/blank#} at home.His parents were doing busines in another city. He felt lonely,so he often turned on the computer and played computer {#blank#}2{#/blank#}. However, sitting in front of the computer for a long time is {#blank#}3{#/blank#} for him. And he spent little time on his study.He failed his exams.Luckily,his parents {#blank#}4{#/blank#} his problem in time.They decided to come back home.Peter studies hard now.So far,he has made progress in his study.He {#blank#}5{#/blank#} he can catch up with his classmates soon.

14.选词填空:根据对话内容,从方框中选择恰当的单词填空。

believes   bad   alone   realized   games

Last term,Peter was {#blank#}1{#/blank#} at home.His parents were doing busines in another city. He felt lonely,so he often turned on the computer and played computer {#blank#}2{#/blank#}. However, sitting in front of the computer for a long time is {#blank#}3{#/blank#} for him. And he spent little time on his study.He failed his exams.Luckily,his parents {#blank#}4{#/blank#} his problem in time.They decided to come back home.Peter studies hard now.So far,he has made progress in his study.He {#blank#}5{#/blank#} he can catch up with his classmates soon.

3.填空题(共4题)

15.
函数的单调减区间是__________.
16.
已知,则______.
17.
已知正方形的边长为1,,则_______.
18.
已知向量,若,则实数_____________

4.解答题(共6题)

19.
已知函数,其中其部分图象如图所示.

(1)求函数的解析式与单调增区间;
(2)当时,求函数的最大值与最小值及此时相应的值.
20.
已知向量,若函数的最大值为
(1)求常数的值;
(2)求使成立的的取值集合;
(3)将函数的图象向左平移个单位长度得到函数,求函数的值域.
21.
如图,已知是半径为1,圆心角为的扇形,是扇形弧上的动点,是扇形的内接矩形,记,求当取何值时,矩形的面积最大?并求出这个最大面积.
22.
已知向量
(1)求与同向的单位向量
(2)若向量,请以向量为基底表示向量
(3)若夹角为,求的值.
23.
(1)求证:
(2)计算的值.
24.
已知平面坐标系中,点为原点,.
(1)求向量的坐标及
(2)若,求的坐标;
(3)求方向上的投影.
试卷分析
  • 【1】题量占比

    单选题:(12道)

    选择题:(2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