[同步]2014年北师大版初中数学七年级下第二章2.4练习卷(带解析)

适用年级:初一
试卷号:634318

试卷类型:课时练习
试卷考试时间:2017/8/18

1.单选题(共19题)

1.
下列画图语句中,正确的是(  )
A. 画射线OP=3cm     B. 连接AB两点
C. 画出AB两点的中点    D. 画出AB两点的距离
2.
下列关于几何画图的语句正确的是(  )
A.延长射线AB到点C,使BC=2AB
B.点P在线段AB上,点Q在直线AB的反向延长线上
C.将射线OA绕点O旋转180°,终边OB与始边OA的夹角为一个平角
D.已知线段ab满足2ab>0,在同一直线上作线段AB=2aBC=b,那么线段AC=2a-b
3.
下列作图语句中,不准确的是(  )
A.过点A、B作直线AB
B.以O为圆心作弧
C.在射线AM上截取AB=a
D.延长线段AB到D,使DB=AB
4.
尺规作图是指(  )
A.用量角器和刻度尺作图
B.用圆规和有刻度的直尺作图
C.用圆规和无刻度的直尺作图
D.用量角器和无刻度的直尺作图
5.
四位同学做“读语句画图”练习.甲同学读语句“直线经过ABC三点,且点C在点A与点B之间”,画出图形(1);乙同学读语句“两条线段ABCD相交于点P”画出图形(2);丙同学读语句“点P在直线l上,点Q在直线l外”画出图形(3);丁同学读语句“点M在线段AB的延长线上,点N在线段AB的反向延长线上”画出图形(4).其中画的不正确的是(  )
A.甲同学B.乙同学C.丙同学D.丁同学
6.
按下列条件画三角形,能唯一确定三角形形状和大小的是(  )
A.三角形的一个内角为60°,一条边长为3cm
B.三角形的两个内角为30°和70°
C.三角形的两条边长分别为3cm和5cm
D.三角形的三条边长分别为4cm、5cm和8cm
7.
下列画图语言表述正确的是(  )
A.延长线段AB至点C,使AB=AC
B.以点O为圆心作弧
C.以点O为圆心,以AC长为半径画弧
D.在射线OA上截取OB=aBC=b,则有OC=a+b
8.
下列关于作图的语句中正确的是(  )
A.画直线AB=10厘米
B.画射线OB=10厘米
C.已知A,B,C三点,过这三点画一条直线
D.过直线AB外一点画一条直线和直线AB平行
9.
下列作图语句错误的是(  )
A.过直线外的一点画已知直线的平行线
B.过直线上的一点画已知直线的垂线
C.过∠AOB内的一点画∠AOB的平分线
D.过直线外一点画此直线的两条斜线,一条垂线
10.
用一把带有刻度的直角尺,①可以画出两条平行线;②可以画出一个角的平分线;③可以确定一个圆的圆心.以上三个判断中正确的个数是(  )
A.0个B.1个C.2个D.3个
11.
尺规作图是指(  )
A.用直尺规范作图B.用刻度尺和圆规作图
C.用没有刻度的直尺和圆规作图D.直尺和圆规是作图工具
12.
下列作图语句正确的是(  )
A.作射线AB,使AB=aB.作∠AOB=∠a
C.延长直线AB到点C,使AC=BCD.以点O为圆心作弧
13.
下列作图语句正确的是()
A.延长线段AB到C,使AB=BCB.延长射线AB
C.过点A作AB∥CD∥EFD.作∠AOB的平分线OC
14.
下列语句中表述正确的是()
A.延长直线ABB.延长线段ABC.作直线AB=BCD.延长射线OC
15.
下列语句( )正确.
A.射线比直线短一半
B.延长AB到C
C.两点间的线叫做线段
D.经过三点A,B,C不一定能画出直线来
16.
下列作图语句正确的是( )
A.过点P作线段AB的中垂线
B.在线段AB的延长线上取一点C,使AB=BC
C.过直线a,直线b外一点P作直线MN使MN∥a∥b
D.过点P作直线AB的垂线
17.
下列作图语言中,正确的是( )
A.过点P作直线AB的垂直平分线B.延长射线OA到B点
C.延长线段AB到C,使BC=ABD.过∠AOB内一点P,作∠AOB的平分线
18.
下列作图语言规范的是( )
A.过点P作线段AB的中垂线
B.过点P作∠AOB的平分线
C.在直线AB的延长线上取一点C,使AB=AC
D.过点P作直线AB的垂线
19.
下列作图语言叙述规范的是( )
A.过点P作线段AB的中垂线
B.在线段AB的延长线上取一点C,使AB=AC
C.过点P作线段AB的垂线
D.过直线a,b外一点P作直线MN,使MN∥a∥b

2.选择题(共16题)

20.计算 mm2111m2 的结果是{#blank#}1{#/blank#}.
21.计算 mm2111m2 的结果是{#blank#}1{#/blank#}.
22.计算 mm2111m2 的结果是{#blank#}1{#/blank#}.
23.飞机着陆后滑行的距离y(单位:m)关于滑行时间t(单位:s)的函数解析式是y=60t﹣ 32t2 .在飞机着陆滑行中,最后4s滑行的距离是{#blank#}1{#/blank#}m.
24.用1块A型钢板可制成2块C型钢板和1块D型钢板;用1块B型钢板可制成1块C型钢板和3块D型钢板.现准备购买A、B型钢板共100块,并全部加工成C、D型钢板.要求C型钢板不少于120块,D型钢板不少于250块,设购买A型钢板x块(x为整数)
25.抛物线L:y=﹣x2+bx+c经过点A(0,1),与它的对称轴直线x=1交于点B.

26.如图,在⊙O中,点C在优弧 AB^ 上,将弧 BC^ 沿BC折叠后刚好经过AB的中点D.若⊙O的半径为 5 ,AB=4,则BC的长是(   )

27.如图,点E、F在BC上,BE=CF,AB=DC,∠B=∠C,AF与DE交于点G,求证:GE=GF.

28.计算 (3+2)3 的结果是{#blank#}1{#/blank#}
29.计算 (3+2)3 的结果是{#blank#}1{#/blank#}
30.将正整数1至2018按一定规律排列如下表:

平移表中带阴影的方框,方框中三个数的和可能是(   )

31.阅读理解

    Google, one of the world's outstanding tech companies, was attacked. It wasn't its search engine that was attacked or its advertising platform or even its social network, Google+. Instead, it was a building.

    Two web security experts hacked (侵入) into its Wharf 7 office in Sydney, Australia, through Google's building management system (BMS). One of them, Billy Rios, says, “My colleague and I have a lot of experience in web security, but it is not something that people couldn't learn. Once you understand how the system works, it is very simple.”

    They found the system on Shodan, a search engine that lists devices connected to the Internet, and then ran it through their own software to identify who owned the building. In the case of the Google hacking, the researchers had no immoral purpose and just informed Google about what they found.

    According to Mr. Rios, Who runs security company Whitescope, there are 50,000 buildings currently connected to the Internet, including research institutes, churches and hospitals, and 2,000 of those are online with no password protection. Martyn Thomas, a professor of IT at Gresham College in the UK, says, “It is beyond doubt that attempts to attack building management systems arc happening all the time.”

    Making a building smart generally means connecting the systems that control heating, Hating and security to the Internet and the wider corporate network. There was a strong reason for doing this, said Andrew Kelly, principal security consultant at defence company Qinetiq.

    “Energy savings are the biggest factor in connecting building management systems to the corporate network,” he says. “It gives those who run the building better control and offers between 20% to 50% in energy savings,” he adds.

    But it also makes them less secure. And if any of these feels like a Hollywood film, think again.

32.阅读理解

    Google, one of the world's outstanding tech companies, was attacked. It wasn't its search engine that was attacked or its advertising platform or even its social network, Google+. Instead, it was a building.

    Two web security experts hacked (侵入) into its Wharf 7 office in Sydney, Australia, through Google's building management system (BMS). One of them, Billy Rios, says, “My colleague and I have a lot of experience in web security, but it is not something that people couldn't learn. Once you understand how the system works, it is very simple.”

    They found the system on Shodan, a search engine that lists devices connected to the Internet, and then ran it through their own software to identify who owned the building. In the case of the Google hacking, the researchers had no immoral purpose and just informed Google about what they found.

    According to Mr. Rios, Who runs security company Whitescope, there are 50,000 buildings currently connected to the Internet, including research institutes, churches and hospitals, and 2,000 of those are online with no password protection. Martyn Thomas, a professor of IT at Gresham College in the UK, says, “It is beyond doubt that attempts to attack building management systems arc happening all the time.”

    Making a building smart generally means connecting the systems that control heating, Hating and security to the Internet and the wider corporate network. There was a strong reason for doing this, said Andrew Kelly, principal security consultant at defence company Qinetiq.

    “Energy savings are the biggest factor in connecting building management systems to the corporate network,” he says. “It gives those who run the building better control and offers between 20% to 50% in energy savings,” he adds.

    But it also makes them less secure. And if any of these feels like a Hollywood film, think again.

33.已知点A(a,m)在双曲线y= 8x 上且m<0,过点A作x轴的垂线,垂足为B.

34.下表记录了某种幼树在一定条件下移植成活情况

移植总数n

400

1500

3500

7000

9000

14000

成活数m

325

1336

3203

6335

8073

12628

成活的频率(精确到0.01)

0.813

0.891

0.915

0.905

0.897

0.902

由此估计这种幼树在此条件下移植成活的概率约是{#blank#}1{#/blank#}(精确到0.1)

35.某校七年级共有500名学生,在“世界读书日”前夕,开展了“阅读助我成长”的读书活动.为了解该年级学生在此次活动中课外阅读情况,随机抽取m名学生,调查他们课外阅读书籍的数量,将收集的数据整理成如下统计表和扇形图.

学生读书数量统计表

阅读量/本

学生人数

1

15

2

a

3

b

4

5

试卷分析
  • 【1】题量占比

    单选题:(19道)

    选择题:(16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:1

    9星难题:18