黑龙江省哈尔滨市69中学2017-2018学年度九年级第一次月考数学试题

适用年级:初三
试卷号:643357

试卷类型:月考
试卷考试时间:2017/10/24

1.单选题(共5题)

1.
某电动自行车厂三月份的产量为1 000辆,由于市场需求量不断增大,五月份的产量提高到l 210辆,则该厂四、五月份的月平均增长率为( )
A.12.1%B.20%C.21%D.10%
2.
甲乙两车分别从M、N两地相向而行,甲车出发1小时后,乙车出发,并以各自的速度匀速行驶,两车相遇后依然按照原速度原方向各自行驶,如图所示是甲乙两车之间的路程S(千米)与甲车所用时间t(小时)之间的函数图象,其中D点表示甲车到达N地停止运行,下列说法中正确的是( )
A.M、N两地的路程是1000千米;B.甲到N地的时间为4.6小时;
C.甲车的速度是120千米/小时;D.甲乙两车相遇时乙车行驶了440千米.
3.
抛物线的顶点坐标是()
A.(4,5)B.(4,5)C.(4,5)D.(4,5)
4.
等腰三角形的一边长为4 cm,另一边长为9 cm,则它的周长为(    )
A.13 cmB.17 cmC.22 cmD.17 cm或22 cm
5.
下列计算正确的是(  )
A.a2+a3a5B.(a23a6C.a6÷a2a3D.2a×3a=6a

2.选择题(共2题)

6.

下列式子成立的是(  )

7.根据短文内容的理解,选择正确答案。

    Sam "Fingers" had been in trouble all his life. He'd started stealing things when he was only a kid. He used to walk through the street market near his home and "pick up" a few things—an apple, or a hairbrush perhaps. But things got worse as Sam got older. By the time he was twenty-five, he was spending a lot of time stealing and then he got caught. While he was in prison he decided that he'd never steal again. He really had to stop.

    On his first day out of prison, Sam went for a walk along the High Street. It was so nice to walk along in the crowds and looked at the shops. Oh, the shops!

    "I'll just go into this jeweler's and have a look around," Sam said to himself. "There's nothing to worry about. No more stealing for me." Then Sam saw the diamond ring. He'd always wanted to give one to his girlfriend. And nobody was looking. In a minute the ring was in his pocket and Sam was walking out of the shop. But as he went towards the door he felt a hand on his shoulder, "I shall have to call the police."

    "I'll pay for it. Yes, I'll pay for it," said Sam.

    With a smile, the manager handed him the bill: 500!

    "Err, um, well……" said Sam. "I really didn't want to spend that much. Would you please show me something a little cheaper?"

3.填空题(共7题)

8.
将2 580 000用科学记数法表示为______________.
9.
分解因式:.
10.
__________.
11.
不等式组的解集是_____________ .
12.
在函数y=中,自变量x的取值范围是_________
13.
抛物线y=2x2bx+3的对称轴是直线x=1,则b的值为_____.
14.
如图,△ABC,AB=AC,∠BAC=90°,点D为BC上一点,CE⊥BC,连接AD、DE,若CE=BD,DE=4,则AD的长为______________.

4.解答题(共4题)

15.
先化简,再求值:,其中x=.
16.
哈尔滨地铁“三号线”正在进行修建,现有大量的残土需要运输.某车队有载重量为8吨、10吨的卡车共12辆,全部车辆运输一次可以运输110吨残土.
(1)求该车队有载重量8吨、10吨的卡车各多少辆?
(2)随着工程的进展,该车队需要一次运输残土不低于165吨,为了完成任务,该车队准备新购进这两种卡车共6辆,则最多购进载重量为8吨的卡车多少辆?
17.
哈市某中学为了丰富校园文化生活.校学生会决定举办演讲、歌唱、绘画、舞蹈四项比赛,要求每位学生都参加.且只能参加一项比赛.围绕“你参赛的项目是什么?(只写一项)”的问题,校学生会在全校范围内随机抽取部分学生进行问卷调查。将调查问卷适当整理后绘制成如图所示的不完整的条形统计图.其中参加舞蹈比赛的人数与参加歌唱比赛的人数之比为1:3.请你根据以上信息回答下列问题:
(1)通过计算补全条形统计图;
(2)在这次调查中,一共抽取了多少名学生?
(3)如果全校有680名学生,请你估计这680名学生中参加演讲比赛的学生有多少名?
18.
如图,图1和图2都是7×4正方形网格,每个小正方形的边长为l,请按要求画出下列图形,所画图形的各个顶点均在所给小正方形的顶点上.
(1)在图1中画出一个等腰直角三角形ABC;

(2)在图2中画出一个钝角三角形ABD,使△ABD的面为3.
试卷分析
  • 【1】题量占比

    单选题:(5道)

    选择题:(2道)

    填空题:(7道)

    解答题:(4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:10

    9星难题:6