2013-2014学年江苏省苏州市相城区七年级下学期期末考试数学试卷(带解析)

适用年级:初一
试卷号:629577

试卷类型:期末
试卷考试时间:2017/7/26

1.单选题(共7题)

1.
根据以下对话,可以求得嫒嫒所买的笔和笔记本的价格分别是()

A. 0.8元/支,2.6元/本 B. 0.8元/支,3.6元/本
C. 1.2元/支,2.6元/本 D. 1.2元/支,3.6元/本
2.
已知关于x,y的方程组,其中-3≤a≤1,给出下列结论:①当a=1时,方程组的解也是方程x+y=4-a的解;②当a=-2时,x、y的值互为相反数;③若x≤1,则1≤y≤4;④是方程组的解,其中正确的是
A.①②B.③④C.①②③D.①②③④
3.
下列四个多项式,哪一个是2x2+5x-3的因式?
A.2 x-1B.2x-3C.x-1D.x-3
4.
如图,在△ABC中,AB=AC, AD是∠BAC的平分线,DE⊥AB于E,DF ⊥AC于F,则下列说法:①DA平分∠EDF;②AE=AF,DE=DF;③AD上任意一点到B、C两点的距离相等;④图中共有3对全等三角形,其中正确的有()
A.4个B.3个C.2个D.1个
5.
一个多边形的每个外角都等于60°,则此多边形是
A.三边形B.四边形C.五边形D.六边形
6.
如果(x+1)(x2-5ax+a)的乘积中不含x2项,则a为
A.5B.C.-D.-5
7.
下列命题中,属于真命题的是
A.面积相等的三角形是全等三角形
B.同位角相等
C.若|a|=|b|,则a=b
D.如果直线l1//l2,直线l2//l3,那么l1//l3

2.选择题(共14题)

8.—Boys and girls, please follow my ___________ when you cross the river.

—OK, Miss Wang.

9.—I'm afraid of the exam.

—___________ It is not difficult at all.

10.—I'm afraid of the exam.

—___________ It is not difficult at all.

11.(A)信息归纳:阅读下面的短文,根据短文的内容完成信息卡。

    Starting high school can be difficult.Everyone is nervous and nobody knows where to go for classes.Thinking about making new friends might make you feel nervous, too. But don't worry, because you are not alone. You are going to school with a group of students of your age, and we have several tips(贴士) for you to follow.

    Forget your fear and just talk to someone.

    It is easier said than done. But try to take a deep breath and find your voice. Don't be afraid to approach(接近) people. First, you should introduce yourself before starting a conversation about something you have in common. Then, sit in the middle of the classroom with as many new friends around you as possible.

    Join clubs.

    Clubs are good places to make friends. Try to make friends in the club that interest you..If you don't join anything, you will be just going to class and then going home.Being in a club makes you more social.

    Stay clean.

    No one likes a bad smell that could knock someone over.Shower every day, brush your teeth and wash your hair. You are supposed to make yourself look clean and tidy, whatever you wear.

    Be respectful(尊重的) of people's differences.

    Everyone has his or her own opinion of the world.And everyone believes in different things.It's a good thing to have different friends with different opinions because you can each share your own.

Information Card

The number of tips that the writer gives

{#blank#}1{#/blank#}.

The thing that might make you feel nervous.

{#blank#}2{#/blank#}.

The first thing you should do before starting a conversation about something you have in common.

{#blank#}3{#/blank#}.

The good places to make friends

{#blank#}4{#/blank#}.

The reason why it's a good thing to have different friends with different opinions

{#blank#}5{#/blank#}.

12.(A)信息归纳:阅读下面的短文,根据短文的内容完成信息卡。

    Starting high school can be difficult.Everyone is nervous and nobody knows where to go for classes.Thinking about making new friends might make you feel nervous, too. But don't worry, because you are not alone. You are going to school with a group of students of your age, and we have several tips(贴士) for you to follow.

    Forget your fear and just talk to someone.

    It is easier said than done. But try to take a deep breath and find your voice. Don't be afraid to approach(接近) people. First, you should introduce yourself before starting a conversation about something you have in common. Then, sit in the middle of the classroom with as many new friends around you as possible.

    Join clubs.

    Clubs are good places to make friends. Try to make friends in the club that interest you..If you don't join anything, you will be just going to class and then going home.Being in a club makes you more social.

    Stay clean.

    No one likes a bad smell that could knock someone over.Shower every day, brush your teeth and wash your hair. You are supposed to make yourself look clean and tidy, whatever you wear.

    Be respectful(尊重的) of people's differences.

    Everyone has his or her own opinion of the world.And everyone believes in different things.It's a good thing to have different friends with different opinions because you can each share your own.

Information Card

The number of tips that the writer gives

{#blank#}1{#/blank#}.

The thing that might make you feel nervous.

{#blank#}2{#/blank#}.

The first thing you should do before starting a conversation about something you have in common.

{#blank#}3{#/blank#}.

The good places to make friends

{#blank#}4{#/blank#}.

The reason why it's a good thing to have different friends with different opinions

{#blank#}5{#/blank#}.

13.下列句子中划线词语使用不正确的一项是(    )
14.下列句子中划线词语使用不正确的一项是(    )
15.(B)书面表达

作为一名初三的学生,你即将毕业离开母校。初中生活有苦有乐。下周,你的班级将举办一次班会。请你根据下面的信息,以“My Time in Junior High School”为题目用英语写一篇发言稿,对自己三年的学习生活进行反思。写作要求:语句连贯,词数80个左右。

对自己满意的方面

对自己不满意的方面

对进入高中后的打算

交了一些好朋友,并且玩得愉快;加入了不同的学校俱乐部;九年级时我的英语水平已经提高了。

七年级时,我课堂上不努力学习;八年级时,我的英语成绩很差,在发音和读课文方面有困难。

期待着考入理想的高中;加入学校游泳队。

16.(B)书面表达

作为一名初三的学生,你即将毕业离开母校。初中生活有苦有乐。下周,你的班级将举办一次班会。请你根据下面的信息,以“My Time in Junior High School”为题目用英语写一篇发言稿,对自己三年的学习生活进行反思。写作要求:语句连贯,词数80个左右。

对自己满意的方面

对自己不满意的方面

对进入高中后的打算

交了一些好朋友,并且玩得愉快;加入了不同的学校俱乐部;九年级时我的英语水平已经提高了。

七年级时,我课堂上不努力学习;八年级时,我的英语成绩很差,在发音和读课文方面有困难。

期待着考入理想的高中;加入学校游泳队。

17.Jane along with her friends_______ Ice Age: Collision Course tomorrow afternoon.
18.我盼望着上高中。

I'm looking forward to{#blank#}1{#/blank#} {#blank#}2{#/blank#} {#blank#}3{#/blank#} {#blank#}4{#/blank#} {#blank#}5{#/blank#}.

19.I remember {#blank#}1{#/blank#} (bring) my umbrella. But I can't find it anywhere.
20.My child, you've ___________so much and I'm so proud of you.
21.Sandy is a ___________ girl and she always does something to help the old people.

3.填空题(共5题)

22.
为确保信息安全,信息需加密传输,发送方由明文→密文(加密),接收方由密文→明文(解密),已知加密规则为:明文a,b,c,d对应密文3a+b,2b+c,2c+d,2d.例如,明文1,2,3,4对应密文5,7,10,8.当接收方收到密文14,9,24,28时,则解密得到的明文四个数字之和为  
23.
不等式 (x-m)>3-m的解集为x>1,则m的值为___.
24.
如图,C岛在A岛的北偏东方向,C岛在B岛的北偏西方向,则从C岛看A、B两岛的视角等于______度
25.
若一多项式除以2x2-3,得到的商式为x+4,余式为3x+2,则此多项式为   
26.
如图,△ABC的周长为28cm,把△ABC的边AC对折,使顶点C和点A重合,折痕交BC边于点D,交AC边于点E,连接AD,若AE=4cm,则△ABD的周长是   cm.

4.解答题(共10题)

27.
解方程组(1) (2)
28.
已知三元一次方程组
(1)求该方程组的解;
(2)若该方程组的解使ax+2y+z<0成立,求整数a的最大值.
29.
第一中学组织七年级部分学生和老师到苏州乐园开展社会实践活动,租用的客车有50座和30座两种可供选择.学校根据参加活动的师生人数计算可知:若只租用30座客车x辆,还差5人才能坐满;
(1)则该校参加此次活动的师生人数为_______(用含x的代数式表示);
(2)若只租用50座客车,比只租用30座客车少用2辆,求参加此次活动的师生至少有多少人?
(3)已知租用一辆30座客车往返费用为400元,租用一辆50座客车往返费用为600元,学校根据师生人数选择了费用最低的租车方案,总费用为2200元,试求参加此次活动的师生人数.
30.
解不等式(或不等式组):
(1)解不等式   (2)解不等式组
31.
我们在分析解决某些数学问题时,经常要比较两个数或代数式的大小.而解决问题的策略一般要进行一定的转化,其中“作差法”就是常用的方法之一,所谓“作差法”:就是通过作差、变形,并利用差的符号来确定它们的大小,即要比较代数式M、N的大小,只要作出它们的差M-N,若M-N>0,则M>N;若M-N=0,则M=N.若M-N<0,则M<N,
请你用“作差法”解决以下问题:
(1)如图,试比较图①、图②两个矩形的周长C1、C2的大小(b>c).

(2)如图③,把边长为a+b(a≠b)的大正方形分割成两个边长分别是a、b的小正方形及两个矩形,试比较两个小正方形的面积之和S1与两个矩形面积之和S2的大小.
32.
因式分解:
(1)x3-4x; (2)(x-1)(x-4)-10.
33.
如图,∠A=∠C=54°,点B在AC上,且AB=EC,AD=BC,BF⊥DE于点F.
(1)证明:BD=BE;
(2)求∠DBF的度数.
34.
如图1,已知正方形ABCD,把一个直角与正方形叠合,使直角顶点与一重合,当直角的一边与BC相交于E点,另一边与CD的延长线相交于F点时.
(1)证明:BE=DF;
(2)如图2,作∠EAF的平分线交CD于G点,连接EG.证明:BE+DG=EG;
(3)如图3,将图1中的“直角”改为“∠EAF=45°”,当∠EAF的一边与BC的延长线相交于E点,另一边与CD的延长线相交于F点,连接EF.线段BE,DF和EF之间有怎样的数量关系?并加以证明.
35.
计算:
(1); (2)
36.
填写推理理由.
如图:已知EF∥AD,∠1=∠2,∠BAC=80°,把求∠AGD的过程填写完整。
∵EF∥AD
∴∠2=∠3 ( )
又∵∠1=∠2
∴∠1=∠3( )
∴AB∥ ( )
∴∠BAC+ =180° ( )
又∵∠BAC=80°
∴∠AGD=  
试卷分析
  • 【1】题量占比

    单选题:(7道)

    选择题:(14道)

    填空题:(5道)

    解答题:(10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:4

    7星难题:0

    8星难题:6

    9星难题:12