内蒙古包头市青山区2017-2018学年八年级(上)期末数学试卷

适用年级:初二
试卷号:589006

试卷类型:期末
试卷考试时间:2018/2/20

1.单选题(共9题)

1.
下列计算正确的是
A.B.C.D.
2.
甲,乙两人以相同路线前往距离单位10的培训中心参加学习.图中分别表示甲,乙两人前往目的地所走的路程s随时间(分)变化的函数图象.以下说法:①乙比甲提前12分钟到达;②甲的平均速度为15千米/小时;③乙走了8后遇到甲;④乙出发6分钟后追上甲.其中正确的有()

A. 4个 B. 3个 C. 2个 D. 1个
3.
如图中的两直线l1、l2的交点坐标可以看作哪个方程组的解(  )

A. B. C. D.
4.
若kb>0,则函数y=kx+b的图象可能是(  )
A.B.C.D.
5.
如图,直线a∥b,∠1 = 60°,∠2 = 40°,则∠3等于()
A.40°B.60°C.80°D.100°.
6.
一组数据5,2,6,9,5,3的众数、中位数、平均数分别是(  )
A.5,5,6B.9,5,5C.5,5,5D.2,6,5
7.
点P(1,﹣2)关于y轴对称的点的坐标是(  )
A.(1,2)B.(﹣1,2)C.(﹣1,﹣2)D.(﹣2,1)
8.
在下列四组数中,不是勾股数的一组数是(  )
A.a=15,b=8,c=17B.a=9,b=12,c=15C.a=7,b=24,c=25D.a=3,b=5,c=7
9.
如图,在中,边上的高,平分边于,则的大小是(   )
A.B.C.D.

2.选择题(共2题)

10.阅读下面短文,从短文后各题所给的四个选项(A、 B 、C 、D)中,选出可以填入空白处的最佳选项。

    Annie, my neighbor's daughter, was away for her first term at college this year. She is a very sweet girl but just a bit shy. When her birthday month 1, I found out she was feeling a bit blue and 2.

    Her family is quite 3 and finances are tight, so there wouldn't be any birthday visitors.

    I wanted to send her a card and maybe a small gift to 4 her up. I got her school address from her mom and planned to 5 send her something. Then I got a(n) 6!  I thought perhaps I could give her a big 7. I bought some balloons, birthday hats and other small novelties (新奇玩意) at a one-dollar 8.  I took a small 9 and asked three other people in my area to sing Happy Birthday and send some birthday 10 to her. Other people found out 11 we were doing and added their voices, 12 it really sounded like we had a party 13 .

    Then I bought her a small present and a card as 14 originally. The real fun was 15 it to be sent. I arranged everything specially so it was like opening a birthday present!

    At the last minute, I added a pack of small cakes and a box of birthday 16 before sending it off. 

    I got a call a few days later. Annie said her roommate and one of her neighbors in her school got together with her and held the party for her once it arrived. She sounded so 17 and I was so glad that she had some friends to 18 her special day with her.

    It was such an easy and fun thing to do. The people who helped me make the tape still laughed and talked about the 19 experience. And Annie told me it was the most fun birthday she can 20!

11.

观察下列算式:39×41=402﹣12,48×52=502﹣22,65×75=702﹣52,83×97=902﹣72…,请你把发现的规律用字母表示出来.(给定字母m,n)

3.填空题(共6题)

12.
已知一个正数的平方根是3x-2和5x-6,则这个数是_____.
13.
一次智力竞赛有20题选择题,每答对一道题得5分,答错一道题扣2分,不答题不给分也不扣,小亮答完全部测试题共得65分,那么他答错了_____道题.
14.
要把一张面值10元的人民币换成零钱,现有足够的面值为2元,1元的人民币,那么共有_______种换法。
15.
如图,长方形ABCD中,AB=5,AD=3,点P从点A出发,沿长方形ABCD的边逆时针运动,设点P运动的距离为x;△APC的面积为y,如果5<x<8,那么y关于x的函数关系式为__________.
16.
如果将一副三角板按如图方式叠放,那么∠1=_____.
17.
小强想知道学校旗杆的高度,他发现旗杆上的绳子垂到地面上还多1米,当他把绳子的下端拉开5米后,发现下端刚好接触地面,则旗杆的高度是______米.

4.解答题(共7题)

18.
计算:(1),(2)
19.
解方程组:(1) ;(2).
20.
列方程组解应用题:
为了保护环境,深圳某公交公司决定购买一批共10台全新的混合动力公交车,现有A、B两种型号,其中每台的价格,年省油量如下表:
 
A
B
价格(万元/台)
a
b
节省的油量(万升/年)
2.4
2
 
经调查,购买一台A型车比购买一台B型车多20万元,购买2台A型车比购买3台B型车少60万元.
(1)请求出a和b;
(2)若购买这批混合动力公交车每年能节省22.4万汽油,求购买这批混合动力公交车需要多少万元?
21.
如图,在平面直角坐标系中,过点B(6,0)的直线AB与直线OA相交于点A(4,2),动点M沿路线O→A→C运动.
(1)求直线AB的解析式.
(2)求△OAC的面积.
(3)当△OMC的面积是△OAC的面积的时,求出这时点M的坐标.
22.
如图,已知直线AB∥CD,∠A=∠C=100°,E,F在CD上,且满足∠DBF=∠ABD,BE平分∠CBF.
(1)求证:AD∥BC;
(2)求∠DBE的度数;
(3)若平行移动AD,在平行移动AD的过程中,是否存在某种情况,使∠BEC=∠ADB?若存在,求出其度数;若不存在,请说明理由.
23.
三名大学生竞选系学生会主席,他们的笔试成绩和口试成绩(单位:分)分别用了两种方式进行了统计,如表一和图一:(1)请将表一和图一中的空缺部分补充完整.
(2)竞选的最后一个程序是由本系的300名学生进行投票,三位候选人的得票情况如图二(没有弃权票,每名学生只能推荐一个),请计算每人的得票数.
(3)若每票计1分,系里将笔试、口试、得票三项测试得分按的比例确定个人成绩,请计算三位候选人的最后成绩,并根据成绩判断谁能当选.
24.
如图,在平面直角坐标系中,过点B(6,0)的直线AB与直线OA相交于点A(4,2),动点N沿路线O→A→C运动.

(1)求直线AB的解析式.   
(2)求△OAC的面积.
(3)当△ONC的面积是△OAC面积的时,求出这时点N的坐标.
试卷分析
  • 【1】题量占比

    单选题:(9道)

    选择题:(2道)

    填空题:(6道)

    解答题:(7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:1

    5星难题:0

    6星难题:8

    7星难题:0

    8星难题:6

    9星难题:7