2014届江苏省南京市六合区中考一模数学试卷(带解析)

适用年级:初三
试卷号:567589

试卷类型:中考模拟
试卷考试时间:2017/7/26

1.单选题(共4题)

1.
|﹣2|的倒数是(   )
A.2B.﹣2C.D.-
2.
a满足以下说法:①a是无理数;②2<a<3;③a2是整数.那么a可能是()
A.B.C.2.5D.
3.
若方程=x+1的解x0满足1<x0<2,则k可能是()
A.1B.2C.3D.6
4.
下列图形中,既可以看作是轴对称图形,又可以看作是中心对称图形的为( )
A.B.C.D.

2.选择题(共14题)

5.下面短文中有10处语言错误。请在有错误的地方增加、删除或修改某个单词。

增加:在缺词处加一个漏字符号(∧),并在其下面写上该加的词。

删除:把多余的词用斜线(﹨)划掉。

修改:在错的词下画一横线,并在该词下面写出修改后的词。

注意:1.每处错误及其修改均仅限一词;2.只允许修改10处,多者(从第11处起)不计分。

例如:

It was very nice to get your invitation to spent∧weekend with you. Luckily

the

I was completely free then, so I'll to say “yes”. I'll arrive in Bristol at around 8:00 p.m.

am

in Friday evening.

On

    My old classroom was interesting because three side of the classroom were made from glass. I enjoyed sit close to the windows and looking at the view. On the left-hand side of the class, I could easy see the football field. In the mornings, it was full of students exercising. The view from the back of the classroom is also splendid. Close to the school there was a beautiful park with many trees around them. Farther in the distance, I could not enjoy the view of snowy mountains. On the right side of the class was the road. I was always interested to see the drivers in hurry in the morning. The position of the classroom with its view made me felt like I was dreaming. If I was only a child when I studied in that classroom, I will never forget it.

6.完形填空

    There was a king who loved art very much. One day a(n)1came and said, "Please let me2a picture on a wall." The king happened to have a big new hall3. So he4the artist to work on one of the walls.

    At the same time, another artist came and asked to work on the5wall. He promised he would make the same picture as the first artist's6looking at the first artist's work. The second artist asked to have a thick curtain7between the two walls8neither of them could see each other.

    The following day they began to work. The first artist brought in 9supply of paint, oil, water and so on. The second one came with a10and a bucket (桶).

    A month later, the first artist's work was completed, and the second artist said, “My wall is 11 too!”

    The king went to 12the first artist's wall. He was pleased with it and gave the artist a large 13of money. He then asked people to open the curtain.

    14! Each line was 15the same as that on the opposite wall. The king was quite satisfied and gave him double money. However, he 16how the second man had made it. “I just17the wall with the cloth,” the man said18.The wall was made of white marble (大理石). He made it shine like a mirror. The reflection (倒影) of the first painting19up on it!

    The 20is a reflection of you too. If you are sad, the world will be sad. If you are happy, the world will be happy.

7.假设你叫李华,你的朋友沉迷于微信(WeChat)而不能自拔,写信向你寻求帮助,请你给他回一封电子邮件。内容包括:

1).表示理解和关心;2).提出具体建议。

要求:1).词数100左右;2).可以适当增加细节,以使行文连贯;3).格式与词尾已给出,不计入总词数。

Dear John,


    I hope these ideas can help you get rid of your addiction as soon as possible.

    Best wishes!

Yours sincerely,

Li Hua

8.阅读理解

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    Destinations: Antarctica, South America, Argentina, Chile, Peru, Ecuador, Bolivia, Central America, Belize, Costa Rica, Panama

    Activities: Kayaking, Rafting, Sea-kayaking, Hiking & Trekking, Backpacking, Exploring, Day hiking, Multisport, Cultural, Archaeological(考古的), Historical, Scuba & Snorkeling, Nature, Rainforest, Wildlife, Eco-focused, Culture-focused, Expedition Cruising

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    Adventure tour operator + Travel agency

    Website: www.worldadventures.travel

    Phone:1- 800-492-0257

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9.We prefer to go shopping there because their prices are{#blank#}1{#/blank#}(afford).
10.We prefer to go shopping there because their prices are{#blank#}1{#/blank#}(afford).
11.Jerry reached the{#blank#}1{#/blank#}(conclude) that the company was expanding.
12.Jerry reached the{#blank#}1{#/blank#}(conclude) that the company was expanding.
13.China Daily has many websites in three languages,{#blank#}1{#/blank#} (form) Asia's biggest network of English-language news and information.
14.任务型阅读

    Most of us lead unhealthy lives; we spend far too much sitting down. If in addition we are careless about our diets, our bodies soon become loose and fatty and our systems slow moving.

    {#blank#}1{#/blank#} I am thinking of such features of modern city life as pollution, noise, rushed meals and stress. But keeping fit is a way to reduce the effects of these evils. The usual suggestion to a person who is looking for a way to keep fit is to take up some sport or other. While it is true that every weekend you will find people playing football and hockey in the local park, they are outnumbered a hundred to one by the people who are simply watching them.

    For those who do not particularly enjoy competitive sports —{#blank#}2{#/blank#}— there are such separate activities as cycling, walking, jogging and swimming. What often happens though is that you do them in such a leisurely way, so slowly, that it is doubtful if you are doing yourself much good, except for the fact that you have at least managed to get up out of your armchair.

    Even after you have found a way for keeping in shape, through sport or gymnastics, {#blank#}3{#/blank#}, because, according to the experts, you must also master the art of complete mental and physical relaxation.{#blank#}4{#/blank#} Yoga, as practiced in the West, is the most widely known and popular of the systems for achieving the necessary state of relaxation. It seems ironical (讽刺性的), though, that as our lives have improved in a material sense we have found it increasingly necessary to go back to forms of activity —{#blank#}5{#/blank#}— which were the natural way of life of our forefathers.

A. be active and practise Yoga

B. There are some aspects of our unhealthy lives that we cannot avoid.

C. it is especially difficult to do so if you are not good at them

D. physical effort on the one hand and relaxation on the other

E. they spent most of the time outdoors

F. you are still only half way to good health

G. It has to do with deep breathing, emptying your mind of all thoughts, meditation(冥想), and so on.

15.

读下面两幅图,回答下列问题。



(1)当地球位于公转轨道上的乙处时,北半球处在{#blank#}1{#/blank#} 季,南半球处在{#blank#}2{#/blank#} 季。
(2)A、B、C三点位于地球上五带中的热带的是{#blank#}3{#/blank#} 点,一年可被太阳直射两次的是{#blank#}4{#/blank#} 点。
(3)A点的纬度是{#blank#}5{#/blank#} ;一天中,A、B两点先看到太阳的是{#blank#}6{#/blank#} 。
(4)当太阳直射A点时,地球位于公转轨道上的{#blank#}7{#/blank#} 处,此时北极圈内会出现{#blank#}8{#/blank#} 现象。
(5)地球由公转轨道的丙处向丁处运动过程中,景德镇的白昼将变{#blank#}9{#/blank#} (长/短),获得的太阳光热也将逐渐{#blank#}10{#/blank#} (增加/减少)。

16.

读下面两幅图,回答下列问题。



(1)当地球位于公转轨道上的乙处时,北半球处在{#blank#}1{#/blank#} 季,南半球处在{#blank#}2{#/blank#} 季。
(2)A、B、C三点位于地球上五带中的热带的是{#blank#}3{#/blank#} 点,一年可被太阳直射两次的是{#blank#}4{#/blank#} 点。
(3)A点的纬度是{#blank#}5{#/blank#} ;一天中,A、B两点先看到太阳的是{#blank#}6{#/blank#} 。
(4)当太阳直射A点时,地球位于公转轨道上的{#blank#}7{#/blank#} 处,此时北极圈内会出现{#blank#}8{#/blank#} 现象。
(5)地球由公转轨道的丙处向丁处运动过程中,景德镇的白昼将变{#blank#}9{#/blank#} (长/短),获得的太阳光热也将逐渐{#blank#}10{#/blank#} (增加/减少)。

17.If cancers are spotted early, there is a high chance of{#blank#}1{#/blank#}( survive).
18.If cancers are spotted early, there is a high chance of{#blank#}1{#/blank#}( survive).

3.填空题(共7题)

19.
因式分解:-4a2b+4a3+ab2    
20.
(﹣2﹣(3.14﹣π)0=_____.
21.
,则a=    
22.
在函数y=-的图象上有三个点为(x1,y1)、(x2,y2)、(x3,y3),若y1<0<y2<y3,则x1,x2,x3的大小关系是    
23.
如图, 直线AB∥CD,∠E=90°,∠A=25°,则∠C=    
24.
钓鱼诸岛是中国的固有领土,位于中国东海,面积约6344000平方米,数据6344000用科学记数法表示为    
25.
如果一个多边形每个内角都等于108°,那么这个多边形是______边形.

4.解答题(共6题)

26.
南京市为了构建立体的道路网络,大力发展江北经济,决定修建一条六合到主城的轻轨铁路.为了使工程提前3个月完成,需将原定的工作效率提高10%.原计划完成这项工程需要多少个月?
27.
已知一次函数y=x+b的图象与x轴,y轴交于点A、B.
(1)若将此函数图象沿x轴向右平移2个单位后经过原点,则b=    
(2)若函数y1=x+b图象与一次函数y2=kx+4的图象关于y轴对称,求k、b的值;
(3)当b>0时,函数y1=x+b图象绕点B逆时针旋转n°(0°<n°<180°)后,对应的函数关系式为y=-x+b,求n的值.
28.
已知二次函数y=x2+2ax-2.
(1)求证:经过点(0,)且与x轴平行的直线与该函数的图象总有两个公共点;
(2)该函数和y=-x2+(a-3)x+的图象都经过x轴上两个不同的点A、B,求a的值.
29.
如图,以O为圆心的弧度数为60°,∠BOE=45°,DA⊥OB,EB⊥OB.

(1)求的值;
(2)若OE与交于点M,OC平分∠BOE,连接CM.说明CM为⊙O的切线;
(3)在(2)的条件下,若BC=1,求tan∠BCO的值.
30.
先化简,再求值:[(a-2)2-(a+2)(a-2)](a-1),其中a=-2.
31.
如图,四边形ABCD为矩形,四边形AEDF为菱形.
(1)求证:△ABE≌△DCE;
(2)试探究:当矩形ABCD边长满足什么关系时,菱形AEDF为正方形?请说明理由.
试卷分析
  • 【1】题量占比

    单选题:(4道)

    选择题:(14道)

    填空题:(7道)

    解答题:(6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:6

    7星难题:0

    8星难题:5

    9星难题:5