数学八年级(上)一次函数及其运用综合练习题

2024-06-22

数学八年级(上)一次函数及其运用综合练习题(精选7篇)

数学八年级(上)一次函数及其运用综合练习题 第1篇

一次函数及其运用

一、单选题

1、若(2,k)是双曲线y=上的一点,则函数y=(k-1)x的图象经过()

A、第一、三象限B、第二、四象限C、第一、二象限D、第三、四象限

2、次函数y=mx+|m-1|的图象过点(0,2),且y随x的增大而增大,则m=()

A、﹣1B、3C、1D、﹣1或3

3、若函数y=(a-5)x1-b+b是一次函数,则a、b应满足的条件是().A、a=5且b≠0B、a=5且b=0 C、a≠5且b≠0D、a≠5且b=0

4、(2016•德州)下列函数中,满足y的值随x的值增大而增大的是()

A、y=﹣2xB、y=3x﹣1C、y=

D、y=x2

5、一次函数的图象如图所示,当-3<y<3时的取值范围是()

A、x>4B、0<x<2C、0<x<4D、2<x<4

6、如图,一次函数图象经过点A,且与正比例函数y=-x的图象交于点B,则该一次函数的表达式为()

A、y=-x+2B、y=x+2C、y=x-2D、y=-x-2

7、(2016•桂林)如图,直线y=ax+b过点A(0,2)和点B(﹣3,0),则方程ax+b=0的解是()

A、x=2B、x=0C、x=﹣1D、x=﹣3

8、(2016•苏州)矩形OABC在平面直角坐标系中的位置如图所示,点B的坐标为(3,4),D是OA的中点,点E在AB上,当△CDE的周长最小时,点E的坐标为()

A、(3,1)B、(3,)C、(3,)D、(3,2)

9、(2016•荆门)如图,正方形ABCD的边长为2cm,动点P从点A出发,在正方形的边上沿A→B→C的方向运动到点C停止,设点P的运动路程为x(cm),在下列图象中,能表示△ADP的面积y(cm)关于x(cm)的函数关系的图象是()

2A、B、C、D、10、AD,BC是⊙O的两条互相垂直的直径,如图,点P从点O出发,沿O→C→D→O的路线匀速运动,设∠APB=y(单位:度),点P运动的时间为x(单位:秒),那么表示y与x关系的图象是()

A、B、C、D、11、(2015•陕西)在平面直角坐标系中,将直线l1:y=﹣2x﹣2平移后,得到直线l2:y=﹣2x+4,则下列平移作法正确的是()

A. 将l1向右平移3个单位长度 B. 将l1向右平移6个单位长度

C. 将l1向上平移2个单位长度 D. 将l1向上平移4个单位长度

12、货车和小汽车同时从甲地出发,以各自的速度匀速向乙地行驶,小汽车到达乙地后,立即以相同的速度沿原路返回甲地.已知甲、乙两地相距180 千米,货车的速度为60 千米/小时,小汽车的速度为90 千米/小时,则下图中能分别反映出货车、小汽车离乙地的距离y(千米)与各自行驶时间t(小时)之间的函数图象是()

13、匀速地向一个容器内注水,最后把容器注满,在注水过程中,水面高度h随时间t的变化规律如图所示(图中OABC为一折线),这个容器的形状是下图中的()

14、(2013•包头)如图,已知一条直线经过点A(0,2)、点B(1,0),将这条直线向左平移与x轴、y轴分别交与点C、点D.若DB=DC,则直线CD的函数解析式为 .

15、(2012乐山)若实数a、b、c满足a+b+c=0,且a<b<c,则函数y=ax+c的图象可能是()

二、填空题

16、已知关于x的方程mx+3=4的解为x=1,则直线y=(m﹣2)x﹣3一定不经过第________象限.

17、若一次函数y=﹣2x+b(b为常数)的图象经过第二、三、四象限,则b的值可以是________(写出一个即可).

18、(2016•遵义)如图①,四边形ABCD中,AB∥CD,∠ADC=90°,P从A点出发,以每秒1个单位长度的速度,按A→B→C→D的顺序在边上匀速运动,设P点的运动时间为t秒,△PAD的面积为S,S关于t的函数图象如图②所示,当P运动到BC中点时,△PAD的面积为________.

19、(2016•茂名)如图,在平面直角坐标系中,将△ABO绕点B顺时针旋转到△A1BO1的位置,使点A的对应点A1落在直线y= 点O2落在直线y= x上,再将△A1BO1绕点A1顺时针旋转到△A1B1O2的位置,使点O1的对应,1),x上,依次进行下去…,若点A的坐标是(0,1),点B的坐标是(则点A8的横坐标是________.

三、解答题

20、如图,直线x-2y=-5和x+y=1分别与x轴交于A、B两点,这两条线的交点为P.(1)求点P的坐标.(2)求△APB的面积.

21、已知一次函数y=(m﹣2)x﹣3m2+12,问:(1)m为何值时,函数图象过原点?

(2)m为何值时,函数图象平行于直线y=2x?

(3)m为何值时,函数图象过点(0,﹣15),且y随x的增大而减小?

222、如图,一次函数y=x2的图象分别与x轴、y轴交于点A、B,以线段AB为边在第3一象限内作等腰Rt△ABC,∠BAC=90°.求过B、C两点直线的解析式.

四、综合题

23、某市为了鼓励居民节约用电,采用分段计费的方法按月计算每户家庭的电费.月用电量不超过200度时,按0.55元/度计费;月用电量超过200度时,其中的200度仍按0.55元/度计费,超过部分按0.70元/度计费.设每户家庭月用电量为x度时,应交电费y元.

(1)分别求出0≤x≤200和x>200时,y与x的函数表达式;

(2)小明家5月份交纳电费117元,小明家这个月用电多少度?

24、(2016•绍兴)根据卫生防疫部门要求,游泳池必须定期换水,清洗.某游泳池周五早上8:00打开排水孔开始排水,排水孔的排水速度保持不变,期间因清洗游泳池需要暂停排水,游泳池的水在11:30全部排完.游泳池内的水量Q(m)和开始排水后的时间t(h)之间的函数图象如图所示,根据图象解答下列问题:

(1)暂停排水需要多少时间?排水孔排水速度是多少?

(2)当2≤t≤3.5时,求Q关于t的函数表达式.

25、对于坐标平面内的点,现将该点向右平移1个单位,再向上平移2的单位,这种点的运动称为点A的斜平移,如点P(2,3)经1次斜平移后的点的坐标为(3,5),已知点A的坐标为(1,0).(1)分别写出点A经1次,2次斜平移后得到的点的坐标.

(2)如图,点M是直线l上的一点,点A关于点M的对称点的点B,点B关于直线l的对称轴为点C. ①若A、B、C三点不在同一条直线上,判断△ABC是否是直角三角形?请说明理由.

②若点B由点A经n次斜平移后得到,且点C的坐标为(7,6),求出点B的坐标及n的值.

26、(2016•湖州)随着某市养老机构(养老机构指社会福利院、养老院、社区养老中心等)建设稳步推进,拥有的养老床位不断增加.

(1)该市的养老床位数从2013年底的2万个增长到2015年底的2.88万个,求该市这两年(从2013到2015年底)拥有的养老床位数的平均年增长率;

(2)若该市某社区今年准备新建一养老中心,其中规划建造三类养老专用房间共100间,这三类养老专用房间分别为单人间(1个养老床位),双人间(2个养老床位),三人间(3个养老床位),因实际需要,单人间房间数在10至30之间(包括10和30),且双人间的房间数是单人间的2倍,设规划建造单人间的房间数为t.

①若该养老中心建成后可提供养老床位200个,求t的值;

27.某游泳馆普通票价20元/张,暑假为了促销,新推出两种优惠卡:

①金卡售价600元/张,每次凭卡不再收费;②银卡售价150元/张,每次凭卡另收10元.暑期普通票正常出售,两种优惠卡仅限暑期使用,不限次数.设游泳x次时,所需总费用为y元.(1)分别写出选择银卡、普通票消费时,y与x之间的函数关系式;

(2)在同一个坐标系中,若三种消费方式对应的函数图像如图所示,请求出点A、B、C的坐标;(3)请根据函数图象,直接写出选择哪种消费方式更合

数学八年级(上)一次函数及其运用综合练习题 第2篇

一、世界何时铸剑为犁(P42)

1、关于战争的成语故事有: 草木皆兵、四面楚歌、马革裹尸……

2、关于战争的古今名言有:

天时不如地利,地利不如人和。得道者多助,失道者寡助。兵民是胜利之本。

3、描写战争的古今诗词有:

红军不怕远征难,万水千山只等闲。醉里挑灯看剑,梦回吹角连营。

4、提到战争,你最想说的话是:(略)

5、“和平与发展”是当今世界的主题,但战争的硝烟也并没有从地球上销散。全国十届人大三次会议已通过《反分裂国家法》,请你以“战争、和平、统一”为主题就“台湾与祖国大陆”这一问题设计一句宣传标语。答案要求:紧扣主题、符合宣传语简洁易记的特点。参考答案:血浓于水,两岸和平统一是两岸人民的共同心愿。两岸同胞一家亲,和平统一心连心。

二、让世界充满爱(P90)

1、在我们的社会中,你觉得有哪些事物是最值得我们关注的?为什么?

2、“爱”,作为个人对社会、人类、自然最基本的情感态度,它应该在我们的生命中播种、萌芽、成长,使生命具有诗性的美丽光辉。请你以“爱”为主题,为“希望工程”设计一句宣传口号。

参考答案:爱心传承文明,知识振兴民族(或:倾注一点爱心,重燃一个希望——支持希望工程)

三、说不尽的桥(P121)

1、请说出几句与“桥”有关的诗歌:例:枯藤老树昏鸦,小桥流水人家。金沙水拍云崖暖,大渡桥横铁索寒……

2、请说出几个与“桥”有关的成语、俗语或谚语:例:过河拆桥; 过桥抽板; 桥归侨,路归路……

3、请说出几个与“桥”有关的故事:例:牛郎、织女鹊桥相会; 飞夺泸定桥 ;当阳桥……

4、人们用“桥”造出的新词有哪些: 书桥、商桥、友谊之桥 ……

5、生活中的桥起着联结、沟通的作用,人们从这一点出发,赋予“桥”这个词语更丰富的内内涵。请你参照例句写出另一个句子。例:老师是一座桥,是让学生通向知识殿堂的一座桥。书是一座桥,是让我了解世界的一座桥。

四、走上辩论台(P161)

辩论比赛一般由五部分组成:①队员陈词、②盘问、③现场提问、④自由辩论、⑤总结陈词。辩论比赛的评分标准包括:

①辩论技巧:辩手语言的流畅,分析、反驳和应变能力以及论点的说服力和逻辑性; ②内容、资料:论据内容是否充实,引述资料是否恰当;

③风度及幽默感:表情动作是否恰当,是否有风度及幽默感; ④整体合作:全队论点结构的完整性,队员之间的默契和配合。

适于辩论的心理素质:①成熟的自信;②强烈表现欲;③求胜心强;④从容;⑤自然的平常心。

1、在《走上辩论台》这一次活动中你参与了什么角色?有什么收获?

提示:答题的角度有:思维方法训练、口才训练、受到思想教育、提高交际合作能力、学会搜集、筛选资料等。答案示例:我在活动中参与了搜集资料、论辩和讨论的角色。(答到一点即可)通过活动,训练了自己辩证的思维方法;培养了自己的口语交际能力;培养了自己的合作精神;提高了自己的参与意识;提高了自己学习语文的积极性;增强了学习语文的兴趣;在搜集资料的过程中培养了自己浏览和筛选信息的能力。

新目标八年级(上)期末综合练习 第3篇

A) 从括号里选出适当的词语,用其恰当的形式填入空白处。(10分)

(instruction, weather, survey, mix, achievement, outstanding, need, lend, autograph, friendly)

1. You may ____ these drinks up.

2. This is headmaster’s ____.

3. I have Yang Ying’s ____.

4. No one came to the sales because the ____ was so bad.

5. China has had a great ____ since 1978.

6. The man in the story is very ____.

7. We did a ____ of our readers.

8. I’m tired. I ____ to have a rest.

9. He likes this book. Please don’t ____ it to others.

10. The boy is ____ in the class.

B) 用所给单词的适当形式填空。(5分)

11. How many ____(tomato) do we buy?

12. The stars in the sky are ____(count).

13. There are some ____(sheep) on that hill.

14. They are American ____(visit).

15. I often go ____(boat) with my classmates.

Ⅱ.单项选择。(15分)

1. The green one is ____ than the yellow one.

A. much expensiveB. much more expensive

C. expensiverD. expensive

2. He speaks English ____ than any other student in his class.

A. wellB. goodC. betterD. best

3. Of all the apples in the basket, this one is ____.

A. redB. redderC. reddestD. the reddest

4. My bike is ____ Lucy’s.

A. as better asB. as good asC. as well asD. as best as

5. The population of Australia is ____ than that of Canada.

A. fewerB. smallerC. largerD. more

6. When the teacher came into the classroom, the students ____ at once. A. stopped to talkB. stopped talking

C. stop to talkD. stop talking

7. It ____ him nearly an hour to get there by bike.

A. spentB. tookC. paidD. used

8. Don’t forget ____ your dictionary next time.

A. to takeB. to bringC. bringD. to get

9. I liked sports ____ I was young.

A. becauseB. whileC. ifD. when

10. If it ____ tomorrow, we’ll go to the Great Wall.

A. isn’t rainB. doesn’t rainC. rainsD. not rains

11. Could you ____ me how to ____ this word in English?

A. tell; speakB. speak; sayC. tell; sayD. say; speak

12. They can’t find the answer ____ this question.

A. forB. withC. toD. of

13. He spends most of his money ____ stamps.

A. onB. forC. inD. by

14. ____ my way home, I bought a shirt ____ my father.

A. By; forB. On; forC. On; toD. Of; to

15. The American people like fried chicken. ____ do we.

A. SoB. SuchC. NeitherD. Either

Ⅲ.情景交际。(10分)

选择适当的答语完成下面的对话。

1. How do you do?

2. Could you come to my party?

3. How long does it take you to make dinner every day?

4. How many bananas do we need?

5. How do you get to school?

6. Where were you born?

7. What’s the time by your watch?

8. What’s the matter with you?

9. Were there any sheep in the field?

10. When did you visit her house?

A. Twenty minutes.

B. I was born in Shanghai.

C. It’s six o’clock.

D. Yes, there were.

E. Three.

F. Yes. I’d love to.

G. Last weekends.

H. I have a toothache.

I. How do you do?

J. By bike.

Ⅳ.句型转换。(10分)

1. She is tall and fat. She has long hair. (合并为一句)

She is ____ tall and fat girl ____ long hair.

2. You should eat more fruit. (改为否定句)

You ____ ____ more fruit.

3. Kate is going fishing on May 2nd. (对划线部分提问)

____ ____ Kate ____ fishing?

4. Mr Wang usually goes to work by bus. (改为同义句)

Mr Wang usually ____ a ____ ____ work.

5. It takes me half an hour to get to the shop. (对划线部分提问)

____ ____ ____ it take ____ to get to the shop?

6. His bike is new. My bike is newer. (合并为一句)

My bike is ____ ____ ____.

7. Peel the bananas and apples. (改为否定句)

____ peel the bananas ____ apples.

8. We have a good time every day. (用last Sunday改写句子)

We ____ a good time last Sunday.

9. He went to school when he was 7 years old. (对划线部分提问)

____ did he ____ to school?

10. They are going to have an English party this evening.

(对划线部分提问)

____ are they going to ____ this evening?

Ⅴ.英汉互译。(10分)

1. 多数学生每天晚上在家做作业。

________________________

2. 当你疲劳时,你应该听听音乐。

________________________

3. 盒子里有不同的东西。

________________________

4. 他花了两天的时间看这本书。

________________________

5. 明天我不得不帮母亲打扫房间。

________________________

6. Kate likes to wear the same clothes with me.

________________________

7. How many sandwiches did you eat yesterday?

________________________

8. I went to the Summer Palace the day before yesterday.

________________________

9. She started skating at the age of five.

________________________

10. It’s fine today. How about going fishing?

________________________

Ⅵ.完形填空。(10分)

Who is your idol(偶像)? Why do you like the person? Cool looks? Money? A lot of talent?

Shanghai teenagers say they __1__ more than that. Most of them say their idols are hardworking and brave(勇敢).

This summer, Shanghai’s Xinwen Evening News __2__ around 1,000 middle school students about their idols.

The newspaper __3__ people in six different groups: leaders, young heroes, teenagers, writers, artists and business people. Students were asked to __4__ one from each group.

NBA __5__ Yao Ming was the No. 1 Chinese idol __6__ 48% of all votes (投票).

Popular singer Jay Chou(周杰伦) is the teen’s __7__ star. A teenager said, “Jay is so kind to his mother and grandma. He __8__ good care of them.”

Shanghai students also like U.S. businessman Bill Gates. More than half picked him as their idol. A junior student who likes Gates said, “Bill was not __9__ rich. He worked hard. And he doesn’t like to tell everyone how rich he is. He also has courage(勇气). He __10__ school to start his own business!”

1. A. look upB. look afterC. look atD. look for

2. A. askedB. talkedC. spokeD. told

3. A. getB. keepC. putD. play

4. A. pickB. pick upC. hopeD. give

5. A. writerB. starC. businessmanD. leader

6. A. inB. withC. byD. for

7. A. bestB. funnyC. favoriteD. pleasant

8. A. looksB. paysC. drawsD. takes

9. A. keptB. hopedC. bornD. wanted

10. A. leftB. returnedC. went toD. went out

Ⅶ.阅读理解。(20分)

(A)

Two tramps(流浪汉) were sleeping under a tree by a busy main road when a large expensive car drove up and a man stepped out, walking up to the two tramps and waking them up.

“Just look at what you are doing there! ”the man began to say. “If you get up and look for a job, then you can live a better life. You might even become rich like me. By the time I was 40, I had become a leader (领导) of the company and now I am 60 and I am rich and can retire (退休).”

One of the tramps looked at him over and answered, “And if we had done all those things, we could also retire and sit under a tree and watch rich men driving by in expensive cars.”

1. The two tramps were waken up by ____.

A. a treeB. a manC. a busy roadD. a car

2. How did the man feel about the tramps? ____.

A. He took pity (可怜;同情) on them

B. He was proud of them

C. He felt happy for them

D. He showed his love to them

3. The man wanted the tramps to ____.

A. make a better lifeB. become a leader

C. have dinner with himD. retire at 60

4. The two tramps ____.

A. liked to go begging(乞讨)B. were very sad for their life

C. enjoyed their lifeD. admired(羡慕) the rich man

5. We can infer(推断) that ____.

A. the two tramps would try their best to find a job and live a better life

B. the man would give the two tramps a lot of money to spend

C. the man would do as the tramps did

D. the two tramps would do as they used to

(B)

Today the children of this country at last returned to work. After a two-month holiday pupils have started a new term. How many adults (成年人) get such a long holiday? Two or four weeks in the summer and public (公共的) holidays—that’s all working men get. For most women, they are not lucky to have a holiday at all.

Children don’t need such a long holiday. In term time they start work later and finish earlier than anyone else. In holidays most of them get bored(厌烦), and some get into trouble. What a waste!If their parents were given more free time instead, everyone would be happier. This is not just a national problem either—it is worldwide. Dates may be different from country to country, but the pattern(模式) is the same. Why should children do half as much work and get twice as much holidays as their parents?

1. Most working men get ____ weeks in the summer and public holidays. A. three and fiveB. two or fourC. four and sixD. two or six

2. From the passage we know that ____.

A. it is not easy for a woman to get a holiday

B. most women have holidays

C. no woman gets holidays

D. most men don’t have holidays

3. The writer thinks children ____.

A. must have such a long holiday

B. should have a long holiday

C. don’t need such a long holiday

D. should get into trouble in holidays

4. How long do children have for their holidays? ____.

A. Two weeks

B. Two days

C. Half of their parents’ holidays

D. Twice of their parents’ holidays

5. Children in ____ have long holidays.

A. few countriesB. many countries

C. just this countriesD. a few of countries

Ⅷ.书面表达。(10分)

根据所给文字提示,写一篇50—80个词的短文:

1. 假设你是李磊,你给你的美国朋友Bill写一封信,介绍你是如何学习

英语的。

2. 要求内容完整,书写规范,表达准确,标点正确,卷面清楚整洁。

3. 至少写五句话以上,多者不限,信的开头已经给出。

4. 关键词:favorite subject, work hard, practise reading, speaking, listening, writing, keep on doing, remember words, listen to…, watch English videos, talk in English (答卷时,不必局限于所给的关键词,可以根据自己的实际情况适当发挥。)

Dear Bill,

How are you? Today I want to tell you about my English study._____

________________________________________________________________

________________________________________________________________

__________________________________________

八年级数学下册一次函数综合复习 第4篇

一 、选择题:

1.下列一次函数中,y随x增大而减小的是( )

A.y=3x B.y=3x﹣2 C.y=3x+2x D.y=﹣3x﹣2

2.函数y=3x+1的图象一定经过点( )

A.(3,5) B.(﹣2,3) C.(2,7) D.(4,10)

3.据测试,拧不紧的水龙头每分钟滴出100滴水,每滴水约0.05毫升。小明洗手后没有把水龙头拧紧,水龙头以测试速度滴水,当小明离开x分钟后,水龙头滴水y毫升水,则y与x之间的函数关系式是( )

A.y=0.05x; B.y=5x; C.y=100x; D.y=0.05x+100.

4.汽车开始行驶时,油箱内有油40升,如果每小时耗油5升,则油箱内余油量Q(升)与行驶时间t(时)的函数关系用图象表示应为( )

A. B. C. D.

5.已知点A(﹣2,y1),B(3,y2)在一次函数y=﹣x﹣2的图象上,则( )

A.y1>y2 B.y1

6.一条直线y=kx+b,其中k+b=-5,kb=6,那么该直线经过( )

A. 第二、四象限 B. 第一、二、三象 C. 第一、三象限 D. 第二、三、四象限

7.下列说法中不成立的是( )

A.在y=3x-1中y+1与x成正比例 B.在y=-0.5x中y与x成正比例

C.在y=2(x+1)中y与x+1成正比例 D.在y=x+3中y与x成正比例

8.如图所示,在同一直角坐标系中,一次函数y=k1x、y=k2x、y=k3x、y=k4x的图象分别为l1、l2、l3、l4,则下列关系中正确的是( )

A.k1

9.关于函数y=-x-2的图象,有如下说法:

①图象过点(0,-2);

②图象与x轴的交点是(-2,0);

③由图象可知y随x的增大而增大;

④图象不经过第一象限;

⑤图象是与y=-x+2平行的直线.

其中正确的说法有( )

A.5个 B.4个 C.3个 D.2个

10.甲、乙两个工程队完成某项工程,首先是甲单独做了10天,然后乙队加入合做,完成剩下的全部工程,设工程总量为单位1,工程进度满足如图所示的函数关系,那么实际完成这项工程所用的时间比由甲单独完成这项工程所需时间少( )

A.12天 B.14天 C.16天 D.18天

11.如图,直线 与x轴、y轴分别交于点A和点B,点C、D分别为线段AB、OB的中点,点P为OA上一动点.PC+PD值最小时点P的坐标为( )

A.(-3,0) B.(-6,0 ) C.(-1.5,0) D.(-2.5,0)

12.甲、乙两人在直线跑道上同起点、同终点、同方向匀速跑步500米,先到 终点的人原地休息.已知甲先出发2秒.在跑步过程中,甲、乙两人的距离y(米)与乙出发的时间t(秒)之间的关系如图所示,给出以下结论:①a=8;②b=92;③c=123.其中正确的是( )

A.①②③ B.仅有①② C.仅有①③ D.仅有②③

二 、填空题:

13.若函数y=(m-1)x|m|是正比例函数,则该函数的图象经过第______象限.

14.若一次函数y=-2x+b(b为常数)的图象经过第二、三、四象限,则b的值可以是________(写出一个即可).

15.已知一次函数y=kx+b(k、b为常数且k≠0)的图象经过点A(0,-2)和点B(1,0),则b=________,k=________.

16.直线y=3x+1向右平移2个单位,再向下平移3个单位得到的直线的解析式为: .

17.已知m是整数,且一次函数y=(m+4)x+m+2的图象不过第二象限,则m为 .

18.如图,直线l1:y=x+1与直线l2:y=mx+n相交于点P(a,2),则关于x不等式=x+1≥mx+n的解集为 .

19.为了加强公民节水意识,某市制定了如下用水收费标准:每户每月用水不超过10吨,水价为每顿1.2元;超过10顿时,超过部分按每顿1.8元收费.该市某户居民5月份用水x吨(x>10),应交水费y元,则y关于x的关系式 。

20.如图,直线y=2x+4与x,y轴分别交于A,B两点,以OB为边在y轴右侧作等边三角形OBC,将点C向左平移,使其对应点C′恰好落在直线AB上,则点C′的坐标为 .

三 、解答题:

21.已知一次函数y=﹣2x﹣2.

(1)根据关系式画出函数的图象.

(2)求出图象与x轴、y轴的交点A、B的坐标.

(3)求A、B两点间的距离.

(4)求出△AOB的面积.

(5)y的值随x值的增大怎样变化?

22.如图,正比例函数y=2x的图像与一次函数 y=kx+b的图像交于点A(m,2),一次函数的图像经过点B(-2,-1)与y轴交点为C与x轴交点为D.

(1)求一次函数的解析式;

(2)求C点的坐标;

(3)求△AOD的面积。

23.某农户种植一种经济作物,总用水量y(米3)与种植时间x(天)之间的函数关系式如图所示.

(1)第20天的总用水量为多少米3?

(2)当x≥20时,求y与x之间的函数关系式;

(3)种植时间为多少天时,总用水量达到7000米3?

24.在长方形ABCD中,AB=3,BC=4,动点P从点A开始按A→B→C→D的方向运动到点D.如图,设动点P所经过的路程为x,△APD的面积为y.(当点P与点A或D重合时,y=0)

(1)写出y与x之间的函数解析式;

(2)画出此函数的图象.

参考答案

1.D

2.C

3.B

4.B

5.A

6.D

7.D

8.B

9.B

10.D

11.C

12.A

13.答案为:二、四;

14.答案为:-1(答案不唯一,满足b<0即可);

15.答案为:-2,2;

16.答案为:y=3x-8;

17.答案为:-2或-3

18.答案为:x≥1

19.答案为:y=1.8x-6

20.答案为:(﹣1,2)

21.解:(1)如图:

;

(2)当y=0时,﹣2x﹣2=0,解得x=﹣1,即A(﹣1,0);

当x=0时,y=﹣2,即B(0,﹣2);

(3)由勾股定理得AB= = ;

(4)S△AOB= ×1×2=1;

(5)由一次函数y=﹣2x﹣2的系数k=﹣2<0可知:y随着x的增大而减小.

22.(1)y=x+1;(2)C(0,1);(3)1

23.解:(1)第20天的总用水量为1000米3

(2)当x≥20时,设y=kx+b∵函数图象经过点(20,1000),(30,4000)

∴ 解得 ∴y与x之间的函数关系式为:y=300x﹣5000.

(3)当y=7000时,由7000=300x﹣5000,解得x=40

答:种植时间为40天时,总用水量达到7000米3.

24.解:(1)点P在边AB,BC,CD上运动时所对应的y与x之间的函数解析式不相同,

故应分段求出相应的函数解析式.

①当点P在边AB上运动,即0≤x<3时,y=0.5×4x=2x;

②当点P在边BC上运动,即3≤x<7时,y=0.5×4×3=6;

③当点P在边CD上运动,即7≤x≤10时,y=0.5×4(10-x)=-2x+20.

数学八年级(上)一次函数及其运用综合练习题 第5篇

一、选择题:

1、周代宗法制度规定,决定一个人继承权力的依据是

A、军功的大小B、财产的多少C、血缘的亲疏D、学术的水平

2、西周时期支撑着王朝统治的政治制度有 ①分封制

②宗法制

③礼乐制

④科举制 A、①②③

B、②③④

C、①②④

D、①②③④

3、在西周,人们衣食住行等方面都有严格的区别,就连如何称呼“死”,不同等级的人也不一样,这体现了当时的

A、分封制B、礼乐制C、均田制D、宗法制

4、正式确定齐桓公霸主地位的历史事件是

A、尊王攘夷B、商鞅变法C、葵丘会盟D、任用管仲

5、下列国家中,既是春秋霸主,又是战国七雄的是 ①齐国②晋国③秦国④宋国⑤楚国 A、①②③

B、①③⑤

C、③④⑤

D、①②⑤

6、下列历史现象不属于春秋战国时期的是

A、诸侯国纷争B、社会大变革C、百家争鸣D、世袭取代禅让

7、战国时期的商鞅变法,就其性质而言,属于

A、奴隶制阶级的改革B、资产阶级的改革C、地主阶级的改革D、古典文化的复兴

8、下列主张中,体现孔子的思想观点的是

①“克己复礼”②“非攻”③“法治”④“有教无类” A、①②③

B、②③④

C、①④

D、②③

9、中国第一个空前统一的中央集权封建大帝国是 A、战国B、夏朝C、商朝D、秦朝

10、秦始皇想统治“万世”,谁料想仅传了 A、一世B、二世C、三世D、四世

11、秦朝的时候,中央和地方的主要官员产生的方式是 A、民主选举B、贵族世袭C、禅让制D、皇帝任免

12、西汉汉武帝在全国大力推行儒家学说,当时的学生要接受最高层次的儒学教育,必须去

A、长安B、洛阳C、咸阳D、北京

13、汉武帝时带兵打败匈奴的是

A、窦固B、窦宪C、蒙恬D、卫青、霍去病

14、汉武帝反击匈奴的原因有

①经济繁荣,国力强大②巩固西汉的政权③为了吞并匈奴④确保北部边疆的安宁 A、①②③

B、②③④

C、①②④

D、①③④

15、“昭君出塞”的故事发生在

A、西汉汉武帝时期B、西汉文帝时期C、东汉明帝时期D、东汉元帝时期

16、东汉末年,曹操将汉献帝迎接到许的主要目的是

A、振兴汉室B、效忠朝廷C、笼络民心D、“挟天子以令诸侯”

17、唐太宗时期著名的直臣是

A、管仲B、魏征C、晁错D、房玄岭

18、隋朝大运河的中心是

A、长安B、洛阳C、余杭D、江都

19、中国古代诗歌发展的黄金时代在 A、唐朝B、北宋C、南宋D、元朝

20、某纺织工业大学门前耸立着一座妇女的雕像,这个人可能是 A、李清照B、武则天C、武丁D、黄道婆 21、1271年建立元朝的是

A、成吉思汉B、忽必烈C、铁木真D、赵构

22、对比宋朝与唐朝的城市布局,最大的特点是

A、城市规模扩大B、商业特别繁荣C、城市界限打破D、结构不再完整

二、非选择题

1、有诗唱到:“普天之下,莫非王土;率土之滨,莫非王臣。”请问

①这首诗是什么?

②这反映了当时的什么制度?起了什么作用?

2、春秋战国时期出现百家争鸣的原因是什么?百家争鸣产生了什么影响?

3、为了巩固中央集权的国家,秦始皇采取了哪些措施?对后世产生了什么影响?

4、试比较“丝绸之路”和“陶瓷之路”的异同点?

5、阅读下列材料:

“凡是不属于孔子的儒家学术范围之内的学说,都加以禁止,使他们不能发展。不正确的邪说灭绝之后,纪纲才能统一,法律制度才能明确,民众才能知道应该遵从什么。”

①这段话是谁向谁提出的?

②这段话提出了什么建议?目的是什么?

③这个建议被采纳后,产生了什么影响?

6、阅读两段对隋大运河开凿的诗:

一、“千里长河一旦开,亡隋波浪九天来。锦帆未落干戈起,惆怅龙舟更不回。”

———胡曾

二、“尽道隋亡为此河,至今千里赖通波。若无水殿龙舟事,共禹论功不教多。”

———皮日休

① 总结两位诗人开凿大运河的不同评价。

②你赞同哪一观点?为什么?

《历史与社会》八年级上第四单元综合练习答案

一、选择题

1—5 CABCA

6—10 DCCDB 11—15 DADCD 16—22 DBBADBC

二、非选择题

1、①《诗经》

②分封制,巩固国家统治。

2、原因:一是周王室的衰落,富有学识的人士流落社会底层并传播知识,形成了文士阶层,为诸子百家的形成和争鸣提供了人才;二是当时社会动荡不安,各国纷纷变法,产生许多新的社会问题,为百家争鸣创造了客观环境。

影响:在百家争鸣中,各派不仅阐述了自己的主张,还相互争论和批判,彼此吸收合理的成份,有力的促进了思想文化和社会的发展。

3、措施:①建立中央集权的官僚制度;②大修弛道,统一车轨;③统一文字、货币、度量衡;④焚书坑儒;⑤南修灵渠,北修长城

作用:巩固了秦朝的统治,有利于经济的交流,促进了文化的发展,巩固了国家的统一,但是,皇权过于集中,产生了腐败,焚书坑儒,摧残了思想文化的自由发展。

4、相同点:①最远都可到达欧洲;②都是我国古代与西方交流的重要通道;③都为中国和西方的经济文化交流起了重要作用。

不同点:①所经过的路线不同。“丝绸之路”从长安出发经河西走廊、新疆、西亚、再到欧洲的大秦。“陶瓷之路”则是从东南沿海出发,经东海、南海、过印度洋到阿拉伯,再转运到欧洲。②出口欧洲的货物不同。经“丝绸之路”运往欧洲的货物主要是丝绸。经“陶瓷之路”运往欧洲的货物主要是陶瓷器。③开辟的时间不同。“丝绸之路”的开辟早于“陶瓷之路”的开辟。

5、①董仲舒向汉武帝

②“罢黜百家,独尊儒术”目的是统一思想,维护统治。③儒家思想逐渐成为中国古代的正统思想。

6、①胡曾认为隋亡的原因在于滥用民力,开凿运河;皮日休认为隋炀帝如果不造龙舟,游江南,挥霍无度,他的功绩可以与大禹媲美。

数学八年级(上)一次函数及其运用综合练习题 第6篇

一、选择题

1.(广州市)已知a>b,c为任意实数,则下列不等式中总是成立的是

A.a+cb-cC.acbc

2.(2012四川攀枝花)下列说法中,错误的是()

A.不等式的正整数解中有一个B.是不等式的一个解

C.不等式的解集是D.不等式的整数解有无数个

3.(2012湖北荆州)已知点M(1-2m,m-1)关于x轴的对称点在第一象限,则m的取值范围在数轴上表示正确的是()

4.(2012,湖北孝感)若关于x的一元一次不等式组无解,则a的取值范围是()

A.a≥1B.a>1C.a≤-1D.a<-1

5.(2012湖北咸宁)不等式组的解集在数轴上表示为().

6.(2012湖南益阳)如图,数轴上表示的是下列哪个不等式组的解集()

A.B.C.D.

7.(2012湖北随州)若不等式的解集为2

A.-2,3B.2,-3C.3,-2D.-3,2

8.(2012山东日照)某校学生志愿服务小组在“学雷锋”活动中购买了一批牛奶到敬老院慰问老人.如果分给每位老人4盒牛奶,那么剩下28盒牛奶;如果分给每位老人5盒牛奶,那么最后一位老人分得的牛奶不足4盒,但至少1盒.则这个敬老院的老人最少有()

A.29人B.30人C.31人D.32人

二、填空题

9.(2012广州市)不等式x-1≤10的解集是

10.(2012广安)不等式2x+9≥3(x+2)的正整数解是_________________.

11.(2012四川达州)若关于、的二元一次方程组的解满足1,则的.取值范围是.

12.(2012山东省荷泽)若不等式组的解集是x>3,则m的取值范围是______.

三、解答题

13,。(2012浙江省嘉兴市)解不等式2(x-1)-3<1,并把它的解在数轴上表示出来.

14.(2012江苏苏州)解不等式组.

15.(广西玉林市)求不等式组的整数解.

16.(2012呼和浩特)(1)解不等式:5(xC2)+8<6(xC1)+7

(2)若(1)中的不等式的最小整数解是方程2xCax=3的解,求a的值.

17.(2012陕西)小宏准备用50元钱买甲、乙两种饮料共10瓶.已知甲饮料每瓶7元,乙饮料每瓶4元,则小宏最多能买瓶甲饮料.

18.(2012福州)某次知识竞赛共有20道题,每一题答对得5分,答错或不答都扣3分。

(1)小明考了68分,那么小明答对了多少道题?

(2)小亮获得二等奖(70分~90分),请你算算小亮答对了几道题?

19.(2012湖南省张家界)某公园出售的一次性使用门票,每张10元,为了吸引更多游客,新近推出购买“个人年票”的售票活动(从购买日起,可供持票者使用一年).年票分A、B两类:A类年票每张100元,持票者每次进入公园无需再购买门票;B类年票每张50元,持票者进入公园时需再购买每次2元的门票。某游客一年中进入该公园至少要超过多少次时,购买A类年票最合算?

20.(2012贵州黔西南州)某工厂计划生产A、B两种产品共10件,其生产成本和利润如下表.

A种产品B种产品

成本(万元/件)25

利润(万元/件)13

(1)若工厂计划获利14万元,问A、B两种产品应分别生产多少件?

数学八年级(上)一次函数及其运用综合练习题 第7篇

从题中所给的A、B、C三个选项中选择正确的答案填空。

( )1. —Did you go ________ on vacation last month?

—Yes, I went to Hangzhou on vacation.

A. anywhere interestingB. interesting somewhereC. interesting anywhere

( )2. We took ________ photos in the park last Sunday.

A. quite a lot B. quite a few C. quite a little

( )3. We must listen to the teacher ________ in class.

A. care B. careful C. carefully

( )4. The price in the hotel is ________. Lets go and find a cheaper one.

A. cheap B. high C. expensive

( )5. ________ the bad weather, we could see ________.

A. Because; nothing below B. Because of; anything below

C. Because of; nothing below

( )6. ________ that she drew a very good picture then.

A. It is seemed B. That seems C. It seemed

( )7. The old woman is very ill and she doesnt ________.

A. feel like to eat something B. feel like to eat anything

C. feel like eating anything

( )8. The little boy spent most of the time ________ at home.

A. watching TV B. to watch TV C. watch TV

( )9. I hope ________ to my birthday party this Saturday evening.

A. you can come B. you to come C. you coming

( )10. Wang Ying hardly ________ drinks milk, because she doesnt like it.

A. ever B. often C. usually

( )11. —________ do you visit the old man?

—Once a week.

A. How soon B. How long C. How often

( )12. ________ Tinas grandfather is old, he does exercise every day.

A. Because B. Although C. But

( )13. Please _______ who broke the window of the classroom.

A. look for B. find C. find out

( )14. China is ________ for the Great Wall.

A. simple B. famous C. ready

( )15. It is not so ________ as you think.

A. easy B. easier C. easiest

二、完形填空。

阅读下面的短文, 掌握其大意, 然后从各题所给的三个选项中选出一个最佳答案。

Do you have a healthy lifestyle? I think I 16 . First, I have many good eating habits. I like junk food, 17 I hardly eat it. I eat fruit and vegetables every day. 18 they are not very delicious, but they are 19 for health. Second, I do 20 every day. It says that if people run every day, they will have more healthy hearts than others. So I run for 21 thirty minutes every morning.

22 , I have good living habits. I try to 23 eight hours every day. That 24 me to be energetic next day. And I can study better and get good grades.endprint

What do you 25 my lifestyle? Can you learn something from it?

( ) 16. A. do B. am C. like

( ) 17. A. and B. but C. or

( ) 18. A. Maybe B. Although C. Because

( ) 19. A. bad B. late C. good

( ) 20. A. cleaning B. homework C. exercise

( ) 21. A. at B. about C. on

( ) 22. A. First B. Second C. Third

( ) 23. A. sleep B. practice C. spend

( ) 24. A. stops B. makes C. helps

( ) 25. A. agree with B. think of C. talk about

三、阅读技能。

第一节 阅读选择。

阅读下面的短文,从每题所给的三个选项中,选出一个最佳答案。

A

The summer vacation is over. Its true that time flies. During the vacation, the weather was hot and I could not do much work, but I was happy.

As the afternoons were hot, I did my work in the morning. I got up at 6:30 and took a walk in the garden for half an hour. After breakfast, I did some exercises in math. I spent three hours or more doing this. I studied quite hard and made good progress (进步). In the afternoon I went swimming, it was fun. I did not go home until about five or six oclock. Sometimes in the evening a friend of mine would come to see me and we would spend some time listening to music.

In this way I spent my vacation happily. I not only studied well but also became a good swimmer. Now I am in good health and high spirits.

( )26. What does the passage mainly tell us?

A. How the writer spent his summer vacation.

B. What the weather was like that summer.

C. When the writer got up in the morning.

( )27. How long did the writer spend doing his exercises?

A. Half an hour. B. Three hours or more. C. Only one hour.

( )28. The writer spent most of the afternoons ________.

A. listening to music B. visiting his friends C. swimming

( )29. The writer had a very good summer holiday because he ________.

A. worked very hard and made good progress

B. learned to swim and made good progress in math

C. got up early and went home late

( )30. Which of the following is NOT TRUE?

A. The writer made progress in his lessons.

B. The writer took a walk for half an hour before breakfast.

C. The writer began studying as soon as he got up.

B

Do you want to be taller? If you do, see if you have these good habits. Do you eat properly and get enough sleep? Do you do sports? Are you a happy person?

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