2013-2014学年天津市五区县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:183833

试卷类型:期末
试卷考试时间:2017/7/26

1.单选题(共9题)

1.
方程组的解是(  )
A.B.C.D.
2.
用代入法解方程组使得代入后化简比较容易的变形是(   )
A.由,得B.由,得
C.由,得D.由,得
3.
扬州某中学七年级一班40名同学第二次为四川灾区捐款,共捐款2000元,捐款情况如下表:
捐款(元)
20
40
50
100
人数
10
 
 
8
 
表格中捐款40元和50元的人数不小心被墨水污染已看不清楚、若设捐款40元的有x名同学,捐款50元的有y名同学,根据题意,可得方程组( )
A.B.
C.D.
4.
在数轴上表示不等式2x<﹣4的解集,正确的是(  )
A.B.
C.D.
5.
若点A(m﹣3,1﹣3m)在第三象限,则m的取值范围时(  )
A.B.m<3C.m>3D.
6.
在平面直角坐标系中,点(-3, 4)在()
A. 第一象限 B. 第二象限 C. 第三象限 D. 第四象限
7.
用代入消元法解方程组使得代入后化简比较容易的变形是(    )
A.由①得B.由①得
C.由②得D.由②得y=2x-5
8.
下列统计中,能用全面调查的是()
A.检测某城市的空气质量B.调查全国初中生的视力情况
C.审查某篇文章中的错别字D.调查央视“新闻联播”的收视率
9.
4的算术平方根是
A.2B.-2C.±2D.16

2.选择题(共15题)

10.阅读理解

    What do you think the life in the future will be like?Here are some answers from some students.

    Mary:There will be many machines (机器) and robots in factories.People only need to control (控制) them on their computers or phones without leaving home.

    Jack:The weather in the future will be very hot.And many places will be under the sea.Many people won't live on the earth any more.They will have to go to other planets.

    Linda:I think the life in the future will be nice.There will be a lot of flowers and trees.And cities will look like parks.

    Henry:People will not need to eat food.They will live on special pills (药丸).And they will hardly ever get ill.Everybody will be able to live to be over 100 years old.

11.The{#blank#}1{#/blank#} (温度) gets very high in hot weather.
12.对下边句子中加点的“引”字的解释,不正确的一项是( )
13.对下边句子中加点的“引”字的解释,不正确的一项是( )
14.The young{#blank#}1{#/blank#}(旅行者) lost his way in the forest.
15.—Thanks a lot,Mary.I can't finish it on time ________ your help.

—You're welcome.

16.—Thanks a lot,Mary.I can't finish it on time ________ your help.

—You're welcome.

17.新年收到你的来信,真是太好了!

It's so nice to {#blank#}1{#/blank#}  {#blank#}2{#/blank#} you on New Year's Day!

18.选择方框中的单词并用其适当形式填空,使短文完整、正确

(有两项多余)。

choose,history,tradition,eat,though, choice, So

    The mooncake is the most popular and important food on Mid­Autumn Day. But is it the only food?

    In some places of China,the pumpkin(南瓜) is also the {#blank#}1{#/blank#} food on Mid­Autumn Day. In old days,poor families {#blank#}2{#/blank#}to eat pumpkins,because they couldn't afford(买得起) mooncakes.{#blank#}3{#/blank#}people live a good life now,they still eat pumpkins on Mid­Autumn Day.They believe it can bring them good health.

    For people in Guangzhou,they enjoy {#blank#}4{#/blank#}river snails(田螺) on Mid­Autumn Day. They think the delicious food can help make their eyes bright.

    Salted Duck(桂花鸭) is a common food for people in Jiangsu Province. It has a {#blank#}5{#/blank#} of over 2,500 years .And it is the most famous dish of Nanjing.

    Is there any traditional food in your hometown on Mid­Autumn Day?What is it?

19.选择方框中的单词并用其适当形式填空,使短文完整、正确

(有两项多余)。

choose,history,tradition,eat,though, choice, So

    The mooncake is the most popular and important food on Mid­Autumn Day. But is it the only food?

    In some places of China,the pumpkin(南瓜) is also the {#blank#}1{#/blank#} food on Mid­Autumn Day. In old days,poor families {#blank#}2{#/blank#}to eat pumpkins,because they couldn't afford(买得起) mooncakes.{#blank#}3{#/blank#}people live a good life now,they still eat pumpkins on Mid­Autumn Day.They believe it can bring them good health.

    For people in Guangzhou,they enjoy {#blank#}4{#/blank#}river snails(田螺) on Mid­Autumn Day. They think the delicious food can help make their eyes bright.

    Salted Duck(桂花鸭) is a common food for people in Jiangsu Province. It has a {#blank#}5{#/blank#} of over 2,500 years .And it is the most famous dish of Nanjing.

    Is there any traditional food in your hometown on Mid­Autumn Day?What is it?

20.把牛奶倒入搅拌机。

{#blank#}1{#/blank#} the milk {#blank#}2{#/blank#} the blender.

21.We also should play a part in {#blank#}1{#/blank#}(keep) our school clean and tidy.
22.他们的书包里装满了书

Their schoolbags {#blank#}1{#/blank#}  {#blank#}2{#/blank#} of books.

23.他们的书包里装满了书

Their schoolbags {#blank#}1{#/blank#}  {#blank#}2{#/blank#} of books.

24.他们的书包里装满了书

Their schoolbags {#blank#}1{#/blank#}  {#blank#}2{#/blank#} of books.

3.填空题(共5题)

25.
已知方程组,则x+y的值为_____.
26.
若2a+6是非负数,则a的取值范围是_______.
27.
关于x,y的二元一次方程组的解是正整数,则整数P的值为______。
28.
若点P为直线AB外一点,则过点P且平行于AB的直线有 条.
29.
如图,AF是∠BAC的平分线,EF∥AC交AB于点E,若∠1=25°,则∠BEF的度数为__________.

4.解答题(共7题)

30.
解二元一次方程组
(1)有位同学是这么做的,①+②得4x=20,解得x=5,代入①得y=﹣3.
∴这个方程组的解为.该同学解这个二元一次方程组的过程中使用了 消元法,目的是把二元一次方程组转化为 求解;
(2)请你换一种方法来求解该二元一次方程组.
31.
如图,某化工厂与A,B两地有公路和铁路相连,这家工厂从A地购买一批每吨1000元的原料运回工厂,制成每吨8000元的产品运到B地.已知公路运价为1.5元/(吨•千米),铁路运价为1.2元/(吨•千米),这两次运输共支出公路运输费15000元,铁路运输费97200元.请计算这批产品的销售款比原料费和运输费的和多多少元?
(1)根据题意,某同学列出尚不完整的方程组如下:
根据这位同学所列方程组,请你指出未知数x,y哪一个代表产品的质量,哪一个代表原料的重量:(注:x、y的单位均为吨),x表示 ,y表示
(2)在(1)中等式右边的括号里补全所列方程组;
(3)根据他所列方程组解得x=300,请你帮他解出y的值,并解决该实际问题.
32.
解不等式组,并把它的解集在数轴上表示出来.
33.
(1)计算:
(2)求式子中的x:(1﹣x)3=64.
34.
(8分)某校校长暑假将带领校、市级“三好学生”去北京旅游.
甲旅行社说:“如果校长买全票,则其余学生可享受半价优惠.”
乙旅行社说:“包括校长在内全部票价6折优惠”,若全票价为240元.
(1)设学生数为x,甲旅行社收费为y,乙旅行社收费为y,分别计算两家旅行社的收费 (表达式) .
(2)当学生数量是多少时,两家旅行社的收费一样?
(3)就学生数x讨论,哪家旅行社更优惠.
35.
七(1)班同学为了解2013年某小区家庭月均用水情况,随机调查了该小区部分家庭,并将调查数据进行如下整理.
月均用水量x(t)
频数(户)
百分比
0<x≤5
6
12%
5<x≤10

 
24%
10<x≤15

 
32%
15<x≤20
10
20%
20<x≤25
4

 
25<x≤30
2
4%
 
请解答以下问题:
(1)把上面的频数分布表和频数分布直方图补充完整;
(2)本次随机调查了多少户家庭?若该小区有1000户家庭,根据调查数据估计,该小区月均用水量超过20t的家庭大约有多少户?
36.
如图,AB⊥BD,CD⊥BD,∠A=∠FEC.以下是小贝同学证明CD∥EF的推理过程或理由,请你在横线上补充完整其推理过程或理由.
证明:∵AB⊥BD,CD⊥BD(已知)
∴∠ABD=∠CDB=90°( )∴∠ABD+∠CDB=180°.
∴AB∥( )(
∵∠A=∠FEC(已知)
∴AB∥(
∴CD∥EF(
试卷分析
  • 【1】题量占比

    单选题:(9道)

    选择题:(15道)

    填空题:(5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:0

    5星难题:0

    6星难题:4

    7星难题:0

    8星难题:8

    9星难题:9