课时练提速训练

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课时练提速训练【一】:九年级数(上)提速训练

九年级数学提速训练 姓名一 ，选择题 （每小题3分，共24分）

1. 关于x的方程：(m2-1)x2+mx-1=0是一元二次方程，则m的取值范围是（ ）

A、m≠0 B、m≠1 C、m≠-1 D、m≠±1 2. 方程x2＋2x－3＝0的解是( )

A．x1＝1，x2＝3 B．x1＝1，x2＝－3 C．x1＝－1，x2＝3 D．x1＝－1，x2＝－3 3. 已知一个菱形的周长是20cm，两条对角线的比是4∶3，则这个菱形的面积是（ ） A．12cm2 B． 24cm2 C． 48cm2 D． 96cm2

4. 菱形具有而矩形不一定具有的性质是 ( )

A．对角线互相垂直 B．对角线相等 C．对角线互相平分 D．对角互补 5. 已知x=1是一元二次方程x2-2mx+1=0的一个解，则m的值是( )

A．1

B．0

C．0或1

D．0或-1

6. 如果一元二次方程3x2-2x=0的两根为x1，x2，则x1·x2的值等于（ ） A.2 B.0 C.7. 某商品原价200元，连续两次降价a％后售价为148元，下列所列方程正确的是（ ） A．200(1+a%)2=148 B．200(1－a%)2=148

2

D.3

2 3

C．200(1－2a%)=148 D．200(1－a2%)=148

8. 如图，矩形纸片ABCD中，已知AD=8，折叠纸片使AB边与对角线AC重合，点B落在点F处，折痕为AE，且EF=3，则AB的长为（ ）A．3 B．4 C．5 D．6 二、填空题（每题3分，共21分）

9.方程(x5)(x7)26，化成一般形式是，其二次项的系数和一次项系数的和是 ；

10.如果方程x2(k1)x30的一个根是1，那么k的值是，另一个根是 11.在四边形ABCD中，AB=DC，AD=BC.请再添加一个条件，使四边形ABCD是矩形.你添加的条件

是 .(写出一种即可)

12 .如图1-12，l∥m，矩形ABCD的顶点B在直线m上，则∠α.

A

（第8

题

第12题图 第13题图 第15题图

13.如上图，菱形ABCD中，A60，对角线BD8，则菱形ABCD的周长等于 ． 14.当k ＝ 时，关于x的一元二次方程x26kx3k260有两个相等的实数根

15.已知长方形ABCD，AB=3cm，AD=4cm，过对角线BD的中点O做BD的垂直平分线EF，分别交AD、BC

于点E、F，则AE的长为_______________.



三、解答题（共55分）

16.用指定的方法解方程：（每题4分，共16分）

（1）x2x0（因式分解法） （2）x2x30（用配方法）

（3）2x9x80（用公式法） （4）(x2)2(2x3)2（用合适的方法）

17.（9分）已知关于x的方程x2(2k1)xk230有实数根，求k的取值范围；

18.（9分）如图，在宽为20m，长为32m的矩形地面上修筑同样宽的道路（图

2

中阴影部分），余下的部分种上草坪．要使草坪的面积为540m，求道路的宽．

19.（9分）某种高档水果，如果每千克盈利10元，每天可售出500千克，经市场调查发现，在进价不变时，若每千克涨价1元，每天销售量将减少20千克，现要保证每天盈利6000元，同时要使顾客得到实惠，那么每千克水果应涨价多少元？

20．（12分）已知：如图，在⊿ABC中，AB＝AC，ADBC，垂足为D，AN是△ABC外角CAM的平分线，CEAN，垂足为E，连接DE交AC于F。 （1）求证：四边形ADCE为矩形； （2）求证：DF∥AB，DF＝

M

E

22

2

17题图

1

AB； 2

A

N

（3）当⊿ABC满足什么条件时，四边形ADCE是一个正方形？简述你的理由。

F

B

P

DC

课时练提速训练【二】:2015级数学试题提速训练1

四川省广安友谊中学

2011级数学试题（文）提速训练（一）

一、选择题（每小题5分，共60分）

a

1．已知集合M3,2，Na,b，若M



N2，则M

N ( )

A．1,2,3 B．0,2,3 2.cos(

C．0,1,2 D．0,1,3

20

) （ ） 3113 A． B． C．- D．-

2222

3．已知an是等差数列，a6a720,a7a828．则该数列前13项和S13等于（ ）

A．110 B．132 C．100 D．156 4．“a1”是“函数f(x)|xa|在区间[1,)上为增函数”的 （ ） A．充分不必要条件 B．必要不充分条件

C．充要条件 D．既不充分也不必要条件

5.

函数y的定义域为（ ）

x

A．[4,1] B．[4,0) C．(0,1] D．[4,0)(0,1] 6. 若曲线f(x)x4x在点P处的切线平行于直线3xy0，则点P的坐标为

A．（1，3） B．（-1，3） C．（1，0） D．（-1，0）

7．把函数ysin(x)(0,||)的图象向左平移



个单位，再将图象上所有点的横坐标伸长6

到原来的2倍（纵坐标不变）所得图象的解析式是ysinx,则（ ）

11, D．,

6326212

8.若函数f(x)axax,(a0且a1)是增函数，那么g(x)loga(x1) 的图象是 （ ）

A．2,

B．2,



C．

9．在三角形中，向量AB,AC和BC满足

0且

2

，则△ABC为2

（ ）

A．等边三角形 B．等腰非直角三角形 C．非等腰三角形 D．等腰直角三角形 10．已知函数f(x)

131

x(a1)x2(ab1)x1，若方程f(x)0的两个根可以分别作为一个32

D．ab3

椭圆和双曲线的离心率，则

A．ab3 B．ab3 C．ab3

11．已知定义在R上的函数f(x)满足：对任意xR，都有f(1x)f(1x)成立，且当x(,1)时，

1

，设af(0),bf(),cf(3),则a,b,c三者的大小关(x1)f(x)0（其中f(x)为f(x)的导数）

2

系是 （ ）

A．abc B．cba C．cab D．bca 12．如图2所示的三角形数阵叫“莱布尼兹调和三角形”，它们是由整数的倒数组成的，第n行有n个数且

两端的数均为

1

n≥2，每个数是它下一行左右相邻两数的和，如n

111111111

，，，„，则第7行第4个数（从左往1222363412

A．

右数）为（ ）

1111

B．C．D．

140 105 4260

二、填空题（每小题4分，共16分）

13．已知向量a(3,1),b(1,3),c(k,7),若(ac)b，则k= ．

1x

1(),x0

14. 已知函数f(x)2，则f(f())．

3log3x,x0y2x|x|

1交点的个数为___________. 15．直线y＝x＋3与曲线94

16.已知数列an满足： anlogn1(n2),nN，我们把使a1a2a3ak为整数的数k(kN)叫做数列an的理想数.给出下列关于数列an的几个结论： ①数列an的最小理想数是2；

n

②an的理想数k的形式可以表示为k42nN；



③在区间1,1000内an的所有理想数之和为1004； ④对任意nN，有an1an.



其中正确结论的序号是 ．

二、填空题（每小题4分，共16分）

13． 14．； 15． 16． ；

课时练提速训练【三】:2017届高考英语一轮复习 Unit 5 Rhythm课时练(2)

课时练(二) 阅读理解提速练(练速度)

(限时：35分钟)

Ⅰ.阅读理解

A

(2016·东北三校二模)To most people, noise pollution is a jet flying over their heads. For one Spanish woman, it is a neighbor playing the piano. The woman has taken her neighbor to court. Now she wants to send her neighbor to prison for over seven years on the charges of psychological damage and noise pollution.

In a country known for its noisiness, the case has raised eyebrows. Neighbors often complain about street noise in Spain, but people seeking prison time for someone practicing the piano is unheard of. At the trial, Sonia Bosom says she has been suffering noise pollution up to now due to the practice sessions of Laia Martin, who lives below her. Martin, 27, didn't admit that she played at home that often, saying she took regular classes in other towns and mostly practiced at home on the weekends.

On the first day of the trial, the newspaper reported that Bosom told the court she now hated pianos so much that she couldn't even stand seeing them in a film. Bosom says years of hearing constant playing has caused her “psychological injury”. Medical reports show she has suffered from a variety of problems, including insomnia (失眠), anxiety, and panic attacks.

She says tests by local authorities have found that the sound levels made by the piano are up to 10 decibels (分贝) higher than the limit. City authorities have asked the family several times to either stop the piano playing or soundproof (隔音) the room. The family told the court they carried out soundproofing work twice but the complaints continued.

The court hasn't made a final decision. A spokeswoman says the trial will end before May.

语篇解读：本文是一篇新闻报道。报道了一位西班牙女士因不能容忍邻居练习钢琴的噪声而把对方告上法庭的案件。

1．Bosom wants to send Martin to prison because ________.

A．Martin's playing the piano damaged her health

B．Bosom suffered from heart attack

C．Martin refused to take regular classes in other towns

D．Martin flew a jet over her head

解析：选A 细节理解题。根据文章第一段中的“For one Spanish woman ... and noise pollution.”可知，Bosom要把邻居Martin送进大牢是因为Martin练习钢琴的噪声对她的身心造成了极大的伤害。故答案选A。

2．How did Laia Martin respond to the complaints?

A．She stopped playing the piano.

B．She soundproofed the room.

C．She didn't admit she played at home.

D．She took her neighbor to court.

解析：选B 细节理解题。根据文章倒数第二段最后一句可知，遭到投诉后，Laia Martin给自己家的房间做了隔音处理。故答案选B。

3．Which of the following may probably be the best title for the passage?

A．A 7­year Sentence Caused by the Piano

B．Pianist Charged with Noise Pollution

C．Health Problems of a Spanish Woman

D．Actions Against Noise by Local Authority

解析：选B 标题归纳题。本文主要报道了一位钢琴练习者因制造噪音污染而被告上法庭的案件。故答案选B。

B

(2016·银川一中高三年级第三次月考)

Life in 2060

Let us suppose it is now about A．D. 2060. Let's make believe (假装；虚构) it is about 45 years from now. Of course, things have changed and life is very different.

Voyages to the moon are being made every day. It is as easy to take a holiday on the moon today as it was for the people in 1960 to take a holiday in Europe. At a number of scenic spots on the moon, many hotels have been built. The hotels are air­conditioned, naturally. In order that everyone can enjoy the beautiful scenery on the moon, every room has at least one picture window. Everything imaginable is provided for entertainment of young and old.

What are people eating now? People are still eating food. They haven't yet started to take on heir (继承) supply of energy directly as electrical current or as nuclear power. They may some day. But many foods now come in pill form, and the food that goes into the pill continues to come mainly from green plants.

Since there are several times as many people in the world today as there were a hundred years ago, most of our planet's surface has to be filled. The deserts are

irrigated with water and crops are no longer destroyed by pests. The harvest is always good.

Farming, of course, is very highly developed. Very few people have to work on the farm. It is possible to run the farm by just pushing a few buttons now and then.

People are now largely vegetarians (素食者). You see, as the number of people increases, the number of animal decreases. Therefore, people have to be vegetarians and we are healthier both in our bodies and in our minds, and we know the causes and cure of disease and pain, and it is possible to get rid of diseases. No one has to be ill any more.

Such would be our life in 2060.

语篇解读：本文是一篇说明文。2060年我们的生活会是什么样子，作者为我们描绘出了一番景象。

4．When was the passage written?

A．In about A．D. 2060.

C．In about 2014. B．In about 1960. D．In about 2015.

解析：选D 推理判断题。根据第一段的前两句可知，2060年在45年之后，因此写文章的年份大约是2015年。故选D。

5．According to the passage, what will be on the moon in about A．D. 2060?

A．Many other animals.

C．Many plants. B．Many tourists. D．A sea.

解析：选B 推理判断题。根据第二段内容可知，去月球旅游成为了常态，每天都有游客去月球旅游。故选B。

6．What will people eat then according to the passage?

A．Biscuits in pill form.

C．Foods in water form. B．Foods in pill form. D．Foods in gas form.

解析：选B 细节理解题。根据第三段最后一句可知，到那时很多食物都是以药片的形式出现的。故选B。

7．The passage tells us that in 2060, ________ on the earth than now.

A．the crops are getting better

B．there are more pests

C．there are fewer people

D．there is less water

解析：选A 细节理解题。根据第四段的后两句可知，庄稼不再遭受害虫的侵袭，每年都是大丰收。故选A。

C

(2016·东北三省三校联合模拟)Most of us spend our lives seeking the natural world. We go fishing, sit in the garden, have a picnic, live in the suburbs or go to the seaside. The most popular leisure activity in Britain is going for a walk. When joggers jog, they don't run on the streets. Every one of them tends to go to the park or the river.

But despite this, our children are growing up nature­deprived. I spent my boyhood climbing trees. These days, children are robbed of these ancient freedoms, due to problems like crime, traffic, the loss of the open spaces and strange new ideas about what is best for children, that is to say, things that can be bought, rather than things that can be found.

The truth is to be found elsewhere. A study in the US: families had moved to better housing and the children were assessed for ADHD — attention deficit hyperactivity disorder (多动症). Those whose accommodation had more natural views showed an improvement of 19%; those who had the same improvement in material surroundings but no nice view improved just 4%.

ADHD is one of the great problems of modern childhood. One study after another indicates that contact with nature gives huge benefits to ADHD children. However, we spend money on drugs rather than on green places.

The life of old people is measurably better when they have access to nature. The increasing concern for the growing population of old people is in quality rather than quantity of years. And study after study finds that a garden is the single most important thing in finding that quality. Even problems with crime and aggressive behaviour are reduced when there is contact with the natural world.

We need the wild world. It is essential to our well­being, our health and our happiness. 语篇解读：本文是一篇议论文。文章主要介绍了接触大自然对儿童和老人有很多益处，还可以改善人们的生活质量。

8．According to the author, people enjoy ________ to seek nature.

A．jogging on the street

B．sitting in the garden

C．shopping in the supermarket

D．running in the gym

解析：选B 细节理解题。根据第一段第一、二句可知，坐在花园里是享受自然的一种

方式，其他三项文中都没有提到。故B项正确。

9．From the second paragraph, we can see that ________.

A．adults deprive the children of their rights to approach nature

B．climbing trees will certainly do good to the children

C．children probably spend less time in nature nowadays

D．children tend to be happier as a result of their material satisfaction 解析：选C 推理判断题。通读第二段可知，第一句是本段的主题句。由此可推知，孩子们身处大自然的机会越来越少了，接触自然的时间也越来越短。故C项正确。

10．In what way do people benefit from their contact with nature?

A．Children with ADHD can be cured.

B．A garden nearby improves the quality of old people's life.

C．Problems with crime and violent behavior will easily be solved.

D．Children's performance at school is greatly improved.

解析：选B 细节理解题。根据第五段倒数第二句可知，住处附近有花园可以提高老年人的生活质量。故B项正确。

11．What is the main idea of this passage?

A．Access to nature improves our life.

B．Nature treats children with ADHD.

C．Getting close to nature reduces crime.

D．Man can't live without natural areas.

解析：选A 主旨大意题。通读全文可知，本文主要介绍了亲近自然对儿童和老人有很多益处，接触大自然可以提高人们的生活质量。故A项正确。

D

(2016·河南六市第一次联考)At an outdoor restaurant, a cockroach (蟑螂) flew in and landed on a woman. She started screaming out of fear; with a panic stricken face and trembling voice, she started jumping, with both her hands desperately trying to get rid of the cockroach. Her reaction was spreading, as everyone in her group also got into a panic. The woman finally managed to flick the cockroach away but it landed on a man in the group who continued the drama. In the relay of throwing, the cockroach next fell upon a waitress who had rushed to their rescue.

The waitress stood firm, calmed herself and observed the behavior of the cockroach on her blouse. When she was confident enough, she grabbed it and threw it out of the restaurant.

Sipping my coffee and watching the amusement, I started wondering: Was the

课时练提速训练【四】:2015级数学试题提速训练3

2011级数学试题提速训练（三）

一、选择题：本大题共12小题，每小题5分，共60分．在每小题给出的四个选项中，只有一项是符合题目要求的．

1、“a1”是“函数yax22x2图像与x轴有唯一公共点”的 2

B．必要不充分条件 D．既不充分也不必要条件 A．充分不必要条件 C．充要条件

2、已知集合A=xy2x

2，B=yyx2x3,x[0,3)，则CRAB（ ） x21

1,3) C．  D．3,0 2

amaam3、已知0mab, 若xsin,ysin,zsin,则（ ） bmbbm

A．xyz B．xyz C．xy,或yz D．xy或zy A．[4,2] B．(

4、△ABC为锐角三角形，若角的终边过点P(sinAcosB,cosAsinC),则ysincos |sin||cos|tan |tan|课时练提速训练。

1

3A． 1 B．1 C． 3 D．3 5、已知函数f(x)x2|x|2，则f(2x1)f()的实数x取值范围是（ ）

1212

2323

nm6、已知等差数列{an}中，前n项之和Sn，前m项之和Sm(mn)，则Smn（ ） mnA．(,) B．[,] C．(,) D．[,)

A．小于4 B．等于4 C．大于4 D．大于2且小于4 12331233

x23cos7、设曲线C的参数方程为（为参数），直线l的方程为x3y20，则曲线C上到y13sin

直线l

距离为

A、1 的点的个数为 10B、2 C、3 D、4

x2y2

8、已知双曲线221的左，右焦点分别为F1,F2，左准线为l，若双曲线的左支上存在一点P，使ab

|PF1|是P到l的距离d与|PF2|的等比中项，则双曲线的离心率不可能是（ ）

A

B．

1 C

D

．1

9、已知P(x,y)是圆x2(y3)21上的动点，定点A(2, 0), B(2, 0)，则PAPB的最大值（ ）

A．12 B．0 C．－12 D．4

210、已知函数f(x)x2axbxR,则（ ）

A．f(x)必是偶函数 B．当f(0)f(2)时，f(x)的图像必须关于直线x1对称

C．f(x)有最大值ab D．若ab0则f(x)在区间 a, 上是增函数 22

1312axax2ax2a1的图象经过四个象限的一个充分必要条件是 32

41163A. a B. 1a C. a D. 2a0 33251611、函数f(x)

g(x)x4xg(x)212、设函数g(x)x2(xR)，f(x)，则f(x)的值域是

g(x)xxg(x)

（A）999,0(1,) （B）[0,) （C）[,)（D）,0(2,) 444

二．填空题（本大题共4小题，每小题4分，共16分）。

13、已知函数f(x)(1x)(1x)2(1x)3(1x)10a0a1xa2x2a10x10， 则a2

14、四面体ABCD中，ABBCCDACBD

面体的外接球体积为： 。 12，二面角ABCD的余弦值为，则此四3

(2)xy620xy15、已知实数x,y满足2xy20，则的取值范围是 。 (xy)(xy)y30

x2y2

16、如图，过椭圆C:221(ab0)上的动点M引圆ab

，若椭圆O:x2y2b2的两条切线MA,MB，其中A,B分别为切点，

上存在点M，使BMA

2，则该椭圆离心率的范围为__ __．

（选做）三、解答题：

17、已知函数f(x)1312xxx,xR. 62

f(1x1)8； 3I求证：对任意的x1R都有f(1x1)

II求f(2007)f(2006)f(0)f(1)f(2009)的值；

*(III)设g(x)f(x)，an1g(an),nN，利用1an3,(nN*)证明： 2

a12a22an22.

请先不要欣赏答案，自己动手做后，再品味赏析。

选择题：AABBA CBDAD CD

7.B【解析】化曲线C的参数方程为普通方程：(x2)2(y1)29，圆心(2,1)到直线x3y2

0的距离d3，直线和圆相交，过圆心和l平行的直线和圆的2个交点符合要

l的另外一侧没有圆上的点符合要求，所以选B. 3【方法总结】解决这类问题首先把曲线C的参数方程为普通方程，然后利用圆心到直线的距离判断直线与圆的位置关系，这就是曲线C上到直线l

8D，命题意图：求双曲线的离心率的范围。

11、答案：C解：显然a=0不合条件。又f'(x)=ax2+ax2a=0，可解得x=1或x=2，即得函数f(x)存在两个极值点，此函数图象经过四个象限的充要条件即是f(1)f(2)<0，

3118f(1)f(2)=(a+a+1)(a+2a+4a+2a+1)<0，解之得6<a<， 32316

12、D【解析】本题主要考查函数分类函数值域的基本求法，属于难题。

依题意知

222x2(x4),xx2x2,x1或x2f(x)2，f(x)2 2x2x,xx2x2x,1x2，

进而得出结论. 3



填空题：

13． 14．

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