辽宁省大连市第八中学2016-2017学年高一下学期期中考试数学试题

适用年级:高一
试卷号:565741

试卷类型:期中
试卷考试时间:2019/6/4

1.选择题(共4题)

1.杨修、张松与曹操

选自《三国演义》

    ①修入见操曰:“适来丞相何慢张松乎?”操曰:“言语不逊,吾故慢之。”修曰:“丞相尚容一祢衡,何不纳张松?”操曰:“祢衡文章播于当今,吾故不忍杀之。松有何能?”修曰:“且无论其口似悬河,辩才无碍,适修以丞相所撰《孟德新书》示之,彼观一遍,即能暗诵。如此博闻强记,世所罕有。松言此书乃战国时无名氏所作,蜀中小儿皆能熟记。”操曰:“莫非古人与我暗合否?”令扯碎其书烧之。修曰:“此人可使面君,教见天朝气象。”操曰:“来日我于西教场点军,汝可先引他来,使见我军容之盛。教他回去传说,吾即日下了江南,便来收川。”修领命。

    ②至次日,与张松同至西教场,操点虎卫雄兵五万,布于教场中。果然盔甲鲜明,衣袍灿烂;金鼓震天,戈矛耀日;四方八面,各分队伍;旌旗飏彩,人马腾空。松斜目视之。良久,操唤松指而示曰:“汝川中曾见此英雄人物否?”松曰:“吾蜀中不曾见此兵革,但以仁义治人。”操变色视之,松全无惧意。杨修频以目视松。操谓松曰:“吾视天下鼠辈,犹草芥耳。大军到处,战无不胜,攻无不取,顺吾者生,逆吾者死,汝知之乎?”松曰:“丞相驱兵到处,战必胜,攻必取,松亦素知。昔日濮阳攻吕布之时,宛城战张绣之日,赤壁遇周郎,华容逢关羽,割须弃袍于潼关,夺船避箭于渭水,此皆无敌于天下也!”操大怒曰:“竖儒怎敢揭吾短处!”喝令左右推出斩之。杨修谏曰:“松虽可斩,奈从蜀道而来入贡,若斩之,恐失远人之意。”操怒气未息,荀彧亦谏。操方免其死,令乱棒打出。

2.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.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.

4.
_______ I can see, there is only one possible way to keep away from the danger.

2.单选题(共11题)

5.
与角终边相同的角是(  )
A.B.C.D.
6.
扇形的中心角为,半径为,则此扇形的面积为(   )
A.B.C.D.
7.
时,函数的最小值是( )
A.B.C.D.
8.
已知函数,在曲线与直线的交点中,若相邻交点距离的最小值为,则的最小正周期为( )
A.B.C.D.
9.
已知函数,动直线 的图像分别交于点的取值范围是(   )
A.B.C.D.
10.
将函数的图像向左平移个单位后关于直线对称,则的最小值为(  )
A.B.C.D.
11.
如图是函数图像的一部分,对不同的,若,有,则正确的是( )
A.上是减函数B.上是减函数
C.上是增函数D.上是增函数
12.
已知,且,则为(   )
A.B.C.D.
13.
在平面直角坐标系中,为原点,设向量,其中.若,且点的所有可能位置区域用阴影表示正确的是(   )
A.B.C.D.
14.
已知向量,向量,则夹角的大小为(   )
A.B.C.D.
15.
设向量,向量,若,则实数(   )
A.B.C.D.

3.填空题(共4题)

16.
函数的图像与直线有且仅有两个不同的交点,则实数的取值范围是_______
17.
是某港口水的深度(单位:)关于时间的函数,其中.下表是该港口某一天从时至时记录的时间与水深的关系:
t
0
3
6
9
12
15
18
21
24
y
5.0
7.5
5.0
2.5
5.0
7.5
5.0
2.5
5.0
 
经长期观察,函数的图像可以近似地看成函数的图像.最能近似表示表中数据间对应关系的函数是__________.
18.
,则_______
19.
设向量,且,则=________

4.解答题(共5题)

20.
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.
21.
已知函数的定义域为,最大值为,求实数的值.
22.
已知函数.
(1)求的值;
(2)设,求 的值.
23.
已知函数的最大值为,最小值为.
(1)求的值;
(2)当求时,函数的值域.
24.
已知函数
(1)求函数的对称中心坐标;
(2)若关于方程上有两个不同的解,求实数的取值范围.
试卷分析
  • 【1】题量占比

    选择题:(4道)

    单选题:(11道)

    填空题:(4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