第一篇：《大學(xué)數(shù)學(xué)A》第六章練習(xí)題

《大學(xué)數(shù)學(xué) A》

第二篇：大學(xué)數(shù)學(xué)第一層次練習(xí)題

大學(xué)數(shù)學(xué)第一層次第一學(xué)期期中練習(xí)題一

一、計算下列各題（簡要寫出計算過程）

sin(2x)?2sinx1．求 lim.2．求

lim(x?x???x?0arctan(2x)?2arctanx

xtnxe?11k

23.lim dt；4.lim?3x3x?0arctan(x2)?n??tn?kk?12?x?t?ln(1?t),1dyd2y?5．設(shè) y?xarctan，求 y?,y??.6．設(shè) ?求 ,2.232xdxdxy?t?t,?3?

3xxxx7．設(shè) f?(e)?e,f(0)?1,求f(x).8．cosxdx；9.earctanedx ??

3?1?sinx?cosx2dx10.I1??;

11.I?.?22?1?sinx2

2x2?x?2.二、用??N定義證明lim2x???x?

11?2xsin,?

三、設(shè)f(x)??x??x(x?sinx),四、已知f?(lnx)?x?0,x?0.求f?(x)，討論f?(x)在x?0的左、右連續(xù)性.xlnx,f(0)?1,求f(1).2(1?lnx)

五、設(shè)旋輪線x?a(t?sint),y?a(1?cost)(0?t?2?,a?0)與x軸圍成一平面圖形，求

1.該圖形的面積；2.該圖形邊界的弧長；3.該圖形繞y軸旋轉(zhuǎn)一周的旋轉(zhuǎn)體的體積.大學(xué)數(shù)學(xué)第一層次第一學(xué)期期中練習(xí)題二

一、計算下列各題（至少寫一步演算過程）

1．求

.2．求

lim(x?x.x?0x?0???3．計算limn?

n??

111?.4.???2?22?2?2x?0n?n2??n?1n?

25．f?(2)?3,lim

x?

1f(5?3x)?f(2)1

.6．設(shè) y?xarctan，求 y?.x?1x

?x?t?ln(1?t),dy

y?y(x)7．設(shè)由 ?確定，求.2

4dxy?2t?t,?

8．設(shè) y?xe,y

2?x

(10)

x2,求y(10)..9.已知y?1?x

.11.lnx

?(1?x)2.12.10．設(shè) y?2

cos2x,dydx

x?

?4

?

.x?x2,0?x?1;

13.已知f(x)??，設(shè)F(x)??f(t)dt,(0?x?2).求F(x).?1,1?x?2.二、1.用??N語言證明lim

三、求極限 lim(sinx)

x?

tan2x

2x?

5?2.2．用???語言證明lim(x2?3x)?4.x?1x???x?

1?

.?x2?ln(1?x2),x?0,四、設(shè)f(x)??

x?0.?2xsinx,1）求f?(x)，討論f?(x)在x?0的連續(xù)性；2）求 f??(0).五、設(shè)0?x1?4,xn?1?

n?1,2,?),，證明limxn存在，并求此極限.n??

六、設(shè)f(x)在區(qū)間[0,??)上可導(dǎo)，f(0)?0,且其反函數(shù)為g(x)，若

?

f(x)0

g(t)dt?x2ex，求f(x).七、求拋物線y?2x與直線x?y?4所圍圖形的面積.大學(xué)數(shù)學(xué)第一層次第一學(xué)期期中練習(xí)題三

一、用極限定義證明下列極限：

x2?

3?2（???語言）(1)lim2?0（??N語言）;(2)lim

x?1x?1n??n?2n?

5二、求下列極限：

cos?n5?

cos(sinx)?cosx??1004?

(1)limtan??;(2)(3)lim(arctanx)lnx lim3?x?0x?0n??n??4(ex?1)(5x?1)

n

?arcsinx?(4)lim??x?0x??

cot2x

（1?x)x?

1(5)limx；

x?0(e?1)ln(1?2x)

b?2b?(n?1)b????

sina?sin?a???sin?a?????sin?a??

n?n?n????(6).lim

n??n

三、計算下列各題：(1)設(shè)y?y(x)由?

?x?arctant

2t

?2y?ty?e?

5所確定，求

dy0()

.(2)設(shè)y?x2lnx，求y1.dx

(3)

設(shè)y?arctan(x(5)，求dy.(4).已知 f(x)?x3sinx，求 f(10)(0).1x?sinx2lnx

dx；(6)求?x2??11?x2dx；(7)求

?

ln0

.四、設(shè)x0?0,xn?1?

1(2xn?2),n?0,1,2,?,求證數(shù)列?xn?收斂，并求其極限。3xn

五、已知曲線y?ax與曲線y?lnx相切（即兩曲線相交于一點，且在這一點有公共的切線）1.求a的值，2.求兩曲線與x軸所圍圖形的面積.六、曲線y?tannx在點(的切線交x軸于點(?n,0)，求limy(?n)4，1)

n??

七、設(shè)f(x)是區(qū)間[-a,a](a>0)上的連續(xù)的偶函數(shù).證明：

af(x)???a1?ex?0f(x)dx a

第三篇：大學(xué)英語練習(xí)題

《大學(xué)英語

（三）》第2次作業(yè)

一、單選題（共 30 道試題，共 75 分。）得分：75 V

1.The football game will be played on ____C___.A.June sixB.six Junenm lkji

C.the sixth of JuneD.the six of June

2.Are you going to fix the car yourself, or are you going to have it ___D____? A.fixingB.to fixnm lkj

C.fixiD.fixed

3.—Can I help you carry the bag? —_______D_________.A.Needn’B.you couldn’t do

C.I could do it myself.D.Thank you, but I can manage it myself.4.They have learned about _______ in recent years.A.several hundreds English wordsi

B.hundreds of English wordsC.hundred of English wordsD.several hundred English word

5.—Do you think I could borrow your dictionary this weekend? —Sorry, but _____C___________ A.you can not have it right away.B.I'm sure you'll like IC.I'm going to need it myself.D.the dictionary is just there.6.She leaned ____B___ the wall while she was speaking to her friend.A.toB.againstC.towardsD.for

7.—Would you like something to drink? What about a cup of tea? —______A__________

A.No, thanks B.No, I wouldn'tC.Yes, I wantD.Yes, I like

8.The patients are quite _______ to the nurses for their special care.A.enjoyable B.helpful C.confidenti D.grateful

9.—Hello, may I have an appointment with the headmaster? —________________.A.Sorry, I don't know younm lkjB.No, you can'tiC.Certainly.Wait a minute, pleasenm lkjD.Let me see10.As long as the sun shines, the earth will not run out of energy.The sun pours more energy on earth than we can ever use.Most of that energy comes to us as heat and light.Energy from the sun is called solar energy.Anything to do with the sun is called “solar”.The word began with the Roman word for the sun and their god ofthe sun, who was called Sol.Solar energy is a safe kind of energy.It doesn't make pollution or have dangerous leftovers.That is why scientists and investors are experimenting with ways of harnessing（治理利用）the sun to do some of the jobs fossil fuels have been doing.But to make the sun do work like that, they have to solve some problems.They have to collect the sun's energy.Collecting sunshine is not easy, unless you are a plant.Sunshine is not easy to store, either.You can't fill a tank with it or put it in the wood box.You can not move it through a pipe or a wire.You can not just turnit on.(4)、What are the problems facing scientists who want to use solar energy? A.It is not easy to collect.B.It is not easy to store.nm lkjC.It is not easy to find out.iD.both A and B.11.Every morning Mr.Smith takes a _______ to his office.A.20 minutes' walkB.20 minute's walknm lkjC.20-minutes walkiD.20-minute walk12.As long as the sun shines, the earth will not run out of energy.The sun pours more energy on earth than we can ever use.Most of that energy comes to us as heat and light.Energy from the sun is called solar energy.Anything to do with the sun is called “solar”.The word began with the Roman word for the sun and their god ofthe sun, who was called Sol.Solar energy is a safe kind of energy.It doesn't make pollution or have dangerous leftovers.That is why scientists and investors are experimenting with ways of harnessing（治理利用）the sun to do some of the jobs fossil fuels have been doing.But to make the sun do work like that, they have to solve some problems.They have to collect the sun's energy.Collecting sunshine is not easy, unless you are a plant.Sunshine is not easy to store, either.You can't fill a tank with it or put it in the wood box.You can not move it through a pipe or a wire.You can not just turnit on.(1)、What form does most of solar energy take to reach us? A.Light.B.Heat.nm lkjC.gas.iD.both A and B.13.—Would you like to go skating with me? —________________.A.Yes, I think soB.No, thanksnm lkjiC.Yes, I'd love toD.I'm afraid not 14._______ the War of Independence, the United States was an English colony.iA.BeforeB.Atnm lkjC.InD.Between15.As long as the sun shines, the earth will not run out of energy.The sun pours more energy on earth than we can ever use.Most of that energy comes to us as heat and light.Energy from the sun is called solar energy.Anything to do with the sun is called “solar”.The word began with the Roman word for the sun and their god of the sun, who was called Sol.Solar energy is a safe kind of energy.It doesn't make pollution or have dangerous leftovers.That is why scientists and investors are experimenting with ways of harnessing（治理利用）the sun to do some of the jobs fossil fuels have been doing.But to make the sun do work like that, they have to solve some problems.They have to collect the sun's energy.Collecting sunshine is not easy, unless you are a plant.Sunshine is not easy to store, either.You can't fill a tank with it or put it in the wood box.You can not move it through a pipe or a wire.You can not just turnit on.(2)、Where

does the word “solar” come from? A.Greek.iB.Roman.nm lkjC.Old English.D.Chinese.16.As long as the sun shines, the earth will not run out of energy.The sun pours more energy on earth than we can ever use.Most of that energy comes to us as heat and light.Energy from the sun is called solar energy.Anything to do with the sun is called “solar”.The word began with the Roman word for the sun and their god ofthe sun, who was called Sol.Solar energy is a safe kind of energy.It doesn't make pollution or have dangerous leftovers.That is why scientists and investors are experimenting with ways of harnessing（治理利用）the sun to do some of the jobs fossil fuels have been doing.But to make the sun do work like that, they have to solve some problems.They have to collect the sun's energy.Collecting sunshine is not easy, unless you are a plant.Sunshine is not easy to store, either.You can't fill a tank with it or put it in the wood box.You can not move it through a pipe or a wire.You can not just turnit on.(3)、Which of the following is NOT true of solar energy? A.It is a safe energy.B.It is a green energy.nm lkjiC.It may cause pollution to the air.D.It is endless.17.—Could I see your ticket please? —________________A.I am not sure yetB.I'd love onenm lkjC.I might be.Why?iD.Here you are.18.—Why not join us in the game? —________________.iA.OK!I'm comingB.No, you do the samenm lkjC.Oh, that's all rightD.Don't mention it19.As long as the sun shines, the earth will not run out of energy.The sun pours more energy on earth than we can ever use.Most of that energy comes to us as heat and light.Energy from the sun is called solar energy.Anything to do with the sun is called “solar”.The word began with the Roman word for the sun and their god of the sun, who was called Sol.Solar energy is a safe kind of energy.It doesn't make pollution or have dangerous leftovers.That is why scientists and investors are experimenting with ways of harnessing（治理利用）the sun to do some of the jobs fossil fuels have been doing.But to make the sun do work like that, they have to solve some problems.They have to collect the sun's energy.Collecting sunshine is not easy, unless you are a plant.Sunshine is not easy to store, either.You can't fill a tank with it or put it in the wood box.You can not move it through a pipe or a wire.You can not just turn it on.(5)、What is the writer's purpose of writing the passage? iA.To give a brief introduction to solar energy.B.To explain the reason why it is not easy to make solar energy.nm lkjC.To give information about the advantages of solar energy.D.To give a brief introduction to the word “solar”.20.—Would you mind closing the window? It is windy outside.—________________ iA.Not at all.B.Sure, go ahead.nm lkjC.Why not?D.Yes, I would.21.Nancy is _______

girl.A.a eighteen-year-oldnm lkjB.an eighteen-years-oldC.a eighteen-years-oldnm lkjiD.an eighteen-year-old

22.When will you finish _______ the outing for next Friday?A.planB.to plannm lkjiC.planningD.planned23.It's _______ that he was wrong.A.clearlyB.claritynm lkjiC.clearD.clearing24.-It's a good idea.But who's going to _______ the plan?-I think John and Peter will.iA.carry outB.get throughC.take inD.set aside25.Eggs, though rich in nourishments, have _______ of fat.A.a large numberB.the large numbernm lkjiC.a large amountD.the large amount26.You'd better _______ in bed.It's bad for your eyes.A.not to readnm lkjiB.not readC.don't readjD.read27.The Japanese, _______ average, live much longer than the Europeans.A.withnm lkjB.inC.tonm lkjiD.on28.After the Minister of Education had finished speaking at the press conference, he was made _______ all sorts of awkward questions.A.answerB.answeringnm lkjC.answerediD.to answer29.—This box is too heavy for me to carry it upstaris.—________________.A.You may ask for help.iB.I’ll give you a hand.nm lkjC.Please do e a favor.D.I’d come to help.30.—Don't forget to come to my party this evening!—________________ A.I can't.iB.I won't.nm lkjC.I don't.D.I will.二、判斷題（共 10 道試題，共 25 分。）得分：25 V《大學(xué)英語

（三）》第2次作業(yè) 試卷總分：100測試時間：--試卷得分：1001.A story is told about a soldier who was finally coming home after having fought in Vietnam.He called his parents from San Francisco.“Mom and Dad, I'm coming home, but I've a favor to ask.I have a friend.I'd like to bring him home with me.” “Sure,” they replied, “we'd love to meet him.”“There's something you should know,” the son continued, “he was injured pretty badly in the fighting.He stepped on a land mine（地雷）and lost an arm and a leg.He has nowhere else to go, and I want him to live with us.” “We're sorry to hear that, son.But, maybe we can help him find somewhere to live.” “No, Mom and Dad, I want him to live with us.”“Son,” said the father, “you don't know what you're asking.Someone with such a handicap would be a terrible burden to us.We have our own lives to live, and we can't let something like this interfere with our lives.I think you should just come home and forget about this guy.He'll find a way to live on his own.”At that point, the son hung up the phone.The parents heard nothing more from him.A few days later, however, they received a call from the San Francisco police.Their son had died after falling from a building.The

police believed he had killed himself.The grief-stricken（悲痛欲絕的）parents flew to San Francisco and were taken to the city morgue（太平間）to identify the body of their son.They recognized him, but to their horror they also discovered something they didn't know, their son had only one arm and one leg.(2)、The soldier told his parents that he wanted them to meet his friend in the army.iA.錯誤nmlkjB.正確2.The word “horsepower” was first used two hundred years ago.James Watt had made the world's first widely used steam engine.He had no way of telling people exactly how powerful it was, for at that time there were no units for measuring power.Watt decided to find out how much work one strong horse could do in one minute.He called that unit one horsepower.With this unit he could measure the work his steam engine could do.He discovered that a horse could lift a 3300-pound weight 10 feet into the air on one minute.His engine could lift a 33-pound weight 100 feet in one minute.Because his engine did ten times as much work as the horse, Watt called it a ten horsepower engine.(2)、Watt wanted to find a way to lift a 3300-pound weight.iA.錯誤nmlkjB.正確3.The word “horsepower” was first used two hundred years ago.James Watt had made the world's first widely used steam engine.He had no way of telling people exactly how powerful it was, for at that time there were no units for measuring power.Watt decided to find out how much work one strong horse could do in one minute.He called that unit one horsepower.With this unit he could measure the work his steam engine could do.He discovered that a horse could lift a 3300-pound weight 10 feet into the air on one minute.His engine could lift a 33-pound weight 100 feet in one minute.Because his engine did ten times as much work as the horse, Watt called it a ten horsepower engine.(4)、One horsepower would equal the weight of one horse.iA.錯誤nmlkjB.正確4.The word “horsepower” was first used two hundred years ago.James Watt had made the world's first widely used steam engine.He had no way of telling people exactly how powerful it was, for at that time there were no units for measuring power.Watt decided to find out how much work one strong horse could do in one minute.He called that unit one horsepower.With this unit he could measure the work his steam engine could do.He discovered that a horse could lift a 3300-pound weight 10 feet into the air on one minute.His engine could lift a 33-pound weight 100 feet in one minute.Because his engine did ten times as much work as the horse, Watt called it a ten horsepower engine.(3)、He made up a unit of measurement based on the strength of a horse.A.錯誤iB.正確 5.A story is told about a soldier who was finally coming home after having fought in Vietnam.He called his parents from San Francisco.“Mom and Dad, I'm coming home, but I've afavor to ask.I have a friend.I'd like to bring him home withme.” “Sure,” they replied, “we'd love to meet him.”“There's something you should know,” the son continued, “he was injured pretty badly in the fighting.He stepped on a land mine（地雷）and lost an arm and a leg.He has nowhere else to go, and I want him to live with us.” “We're sorry to hear that, son.But, maybe we can help him find somewhere to live.” “No, Mom and Dad, I want him to live with us.”“Son,” said the father, “you don't know what you're asking.Someone with such a handicap would be a terrible burden to us.We have our own lives to live, and we can't let something like this interfere with our lives.I think you should just come home and forget about this guy.He'll find a way to live on hisown.”At that point, the son hung up the phone.The parents heard nothing more from him.A few days later, however, theyreceived a call from the San Francisco police.Their son had died afterfalling from a building.The police believed he had killedhimself.The grief-stricken（悲痛欲絕的）parents flew to San Francisco and were taken to the city morgue（太平間）to identify the body of their son.They recognized him, but to their horror they also discovered something they didn't know, their son had only one arm and one leg.(5)、The son killed himself because he was unable to find a job.iA.錯誤nmlkjB.正確6.The word “horsepower” was first used two hundred years ago.James Watt had made theworld's first widely used steam engine.He had no way of telling peopleexactly how powerful it was, for at that time there were no units for measuring power.Watt decided to find out how much work one strong horse could do in one minute.He called that unit one horsepower.With this unit he could measure the work his steam engine could do.He discovered that a horse could lift a

3300-pound weight 10 feet into the air on one minute.His engine could lift a 33-pound weight 100 feet in one minute.Because his engine did ten times as much work as the horse, Watt called it a ten horsepower engine.(5)、The possible title for this passage is The Origin of the Term “Horsepower”.A.錯誤nmlkjiB.正確7.A story is told about a soldier who was finally coming home after having fought in Vietnam.He called his parents from San Francisco.“Mom and Dad, I'm coming home, but I've afavor to ask.I have a friend.I'd like to bring him home withme.” “Sure,” they replied, “we'd love to meet him.”“There's something you should know,” the son continued, “he was injured

pretty badly in the fighting.He stepped on a land mine（地雷）and lost an arm and a leg.He has nowhere else to go, and I want him to live with us.” “We're sorry to hear that, son.But, maybe we can help him find somewhere to live.” “No, Mom and Dad, I want him to live with us.”“Son,” said the father, “you don't know what you're asking.Someone with such a handicap would be a terrible burden to us.We have our own lives to live, and we can't let something like this interfere with our lives.I think you should just come home and forget about this guy.He'll find a way to live on hisown.”At that point, the son hung up the phone.The parents heard nothing more from him.A few days later, however, they received a call from the San Francisco police.Their son had died afterfalling from a building.The police believed he had killedhimself.The grief-stricken（悲痛欲絕的）parents flew to San Francisco and were takento the city morgue（太平間）to identify the body of their son.They recognized him, but to their horror they also discovered something they didn't know, their son had only one arm and one leg.(4)、A few days later the parents were told by the police that their son had killed himself.A.錯誤nmlkjiB.正確8.A story is told about a soldier who was finally coming home after having fought in Vietnam.He called his parents from San Francisco.“Mom and Dad, I'm coming home, but I've afavor to ask.I have a friend.I'd like to bring him home withme.” “Sure,” they replied, “we'd love to meet him.”“There's something you should know,” the son continued, “he was injured pretty badly in the fighting.He stepped on aland mine（地雷）and lost an arm and a leg.He has nowhere else to go, and I want him to live with us.” “We're sorry to hear that, son.But, maybe we can help him find somewhere to live.” “No, Mom and Dad, I want him to live with us.”“Son,” said the father, “you don't know what you're asking.Someone with such a handicap would be a terrible burden to us.We have our own lives to live, and we can't let something like this interfere with our lives.I think you should just come home andforget about this guy.He'll find a way to live on hisown.” At that point, the son hung up the phone.The parents heard nothing more from him.A few days later, however, they received a call from the San Francisco police.Their son had died after falling from a building.The police believed he had killed himself.The grief-stricken（悲痛欲絕的）parents flew to San Francisco and were taken to the city morgue（太平間）to identify the body of their son.They recognized him, but to their horror they also discovered something they didn't know, their son had only one arm and one leg.(3)、His father considered his plan unacceptable.A.錯誤nmlkjiB.正確9.A story is told about a soldier who was finally coming home after having fought in Vietnam.He called his parents from San Francisco.“Mom and Dad, I'm coming home, but I've a favor to ask.I have a friend.I'd like to bring him home with me.” “Sure,” they replied, “we'd love to meet him.”“There's something you should know,” the son continued, “he was injured pretty badly in the fighting.He stepped on a land mine（地雷）and lost an arm and a leg.He has nowhere else to go, and I want him to live with us.” “We're sorry to hear that, son.But, maybe we can help him find somewhere to live.” “No, Mom and Dad, I want him to live with us.”“Son,” said the father, “you don't know what you're asking.Someone with such a handicap would be a terrible burden to us.We have our own lives to live, and we can't let something like this interfere with our lives.I think you should just come home and forget about this guy.He'll find a way to live on his own.”At that point, the son hung up the phone.The parents heard nothing more from him.A few days later, however, they received a call from the San Francisco police.Their son had died after falling from a building.The police believed he had killed himself.The grief-stricken（悲痛欲絕的）parents flew to San Francisco and were taken to the city morgue（太平間）to identify the body of their son.They recognized him, but to their horror they also discovered something they didn't know, their son had only one arm and one leg.(1)、The soldier called his parents from San Francisco after having fought in Vietnam.A.錯誤nmlkjiB.正確10.The word “horsepower” was first used two hundred years ago.James Watt had made the world's first widely used steam engine.He had no way of telling people exactly how powerful it was, for at that time there were no units for measuring power.Watt decided to find out how much work one strong horse could do in one minute.He called that unit one horsepower.With this unit he could measure the work his steam engine could do.He discovered that a horse could lift a 3300-pound weight 10 feet into the air on one minute.His engine could lift a 33-pound weight 100 feet in one minute.Because his engine did ten times as much work as the horse, Watt called it a ten horsepower engine.(1)、The passage says that Watt made the first widely used steam engine.A.錯誤nmlkjiB.正確

第四篇：一年級數(shù)學(xué)練習(xí)題

小學(xué)一年級數(shù)學(xué)練習(xí)題

一、我是計算小能手：

1.口算。（15分）

67-7= 3+73= 4+56= 75-15= 56-7=

60+21= 70-20= 88-70= 96+4= 49+40=

81-8= 55-30= 16+8= 85-40= 50-7=

80-30= 26+9= 13+80= 45+54= 49-8=

70+2= 28-9= 6+64= 81-3= 20+57=

99-9= 53+4= 39+30= 78-20= 14+5=

2.豎式計算。（6分)

41+27= 57-34= 88－50=

二、動腦筋填一填。(29分）

1.在計數(shù)器上，從右邊起，第一位是（）位，第（）位是百位。

2.56里有（）個十和（）個一。

3.30里面有（）個十。10個10 是（）。

4.十位是2，個位是９，這個數(shù)是（）；一個一個的數(shù)和它

相鄰的數(shù)是（）和（）。

5.在○里填上“＜”、“＞”“＝”。（3分）

59-50○8 17+8○23 30+9○44-4

50+44○44+50 8+70○7+80 68-6○68-60

6.排一排。（3.5分）

44 97 80 67 31 29

（）＜（）＜（）＜()＜()＜()＜()

7.（1.5分）比57大比61小的數(shù)依次是（）、（）、（）。

8.（）-40=30（）-20 = 28

45-（）=15 39-（）=33

9.（4分）5元=（）角 3角 =（）分

6元7角 =（）角 2元 =（）角 =（）分

10.連一連。（4分）

大約6時 6時 9時 7時半

三、填一填。（10分）

四、按要求將你認(rèn)為合適的答案圈起來。（5分）

1.書包的價錢比80元少一些。（90元、78元、82元）

2.玩具小汽車的價錢比60元貴多了！（68元、95元、48元）

3.和60最接近的數(shù)。（100、45、70、56）

4.54+3的和是（四十多、五十、五十多）

5.得數(shù)比50大的算式（59-9、59-10、59-8）

五、看圖列式計算。（6分）

1.

=

36個 20個

2.

=

六、解決實際問題。（21分）

1.學(xué)校要把82箱文具送給山區(qū)小學(xué)，已送去50箱，還要送幾箱？

2.樹上小鳥飛走了25只，還剩下8只，樹上原來有多少只？

3.學(xué)校田徑隊有38人，籃球隊有20 人，乒乓球隊有14人。

①田徑隊和籃球隊一共有多少人？

②籃球隊比乒乓球隊多多少人？

4.9元 68元 30元 8元

（1）比 貴多少元？

（2）小紅買了一個 找回2元，她付了多少錢？

（3）用50元可以買哪些商品？

七、考考聰明的你：〇里應(yīng)該填幾？（3分）

+ =32-= 15 + =（）

卷面5分

第五篇：數(shù)學(xué)等差數(shù)列練習(xí)題

練習(xí)題3：等差數(shù)列

1、已知等差數(shù)列的首項a1，項數(shù)n，公差d，求末項an

公式：末項=首項+（項數(shù)-1）×公差an= a1+（n-1）×d

（1）一個等差數(shù)列的首項為5，公差為2，那么它的第10項是（）。

2、已知等差數(shù)列的首項a1，末項an，公差d，求項數(shù)n

公式：項數(shù)=（末項-首項）÷公差+1n=（an－a1）÷d+1

（1）等差數(shù)列7、11、15……、87，問這個數(shù)列共有（）項。

（2）等差數(shù)列3、7、11…，這個等差數(shù)列的第（）項是43。

3、已知等差數(shù)列的首項a1，末項an，項數(shù)n, 求公差d

公式：公差=（末項-首項）÷（項數(shù)-1）d=（an－a1）÷（n－1）

（1）已知等差數(shù)列的第1項為12，第6項為27。求公差（）。

4、已知等差數(shù)列的末項an，項數(shù)n, 公差d，求首項a1

公式：首項=末項-（項數(shù)-1）×公差a1=an-（n-1）×d

（1）已知一個等差數(shù)列的公差為2，這個等差數(shù)列的第10項是為23，這個等差數(shù)列的首項是（）。

（2）一堆木料，最下層有24根，往上每一層都比下一層少2根，共10層，最上層有（）根木料。

5、把70拆成7個自然數(shù)，使這7個數(shù)從小到大排成一行后，相鄰兩個數(shù)的差都相等，那么，中間的數(shù)是（）。

6、5個連續(xù)奇數(shù)的和是35，其中最大的奇數(shù)是（）。

第二類：已知等差數(shù)列的首項a1，末項an，項數(shù)n,求和用公式：sn=（a1+ an）×n÷2［或 sn=中間數(shù)×項數(shù)］

1、已知等差數(shù)列2，5，8，11，14，17，20，求這個數(shù)列的和是（）。

2、等差數(shù)列7+11+15+19+23+27+31+35的和是（）。

3、求1+2+3+4+5+6+7+……+20=4、1+3+5+7+9+11+……+19=

5、已知等差數(shù)列的首項是5，末項是47，求這個數(shù)列共有8項求這個數(shù)列的和是（）。

6、王師傅每天工作8小時，第一小時加工零件5個，從第二小時起每小時比前一小時多加工相同的零件，第8小時加工了23個，王師傅一天加工零件（）個。

等差數(shù)列分組練習(xí)題

已知等差數(shù)列的首項a1，末項an，項數(shù)n,求和用公式：sn=（a1+ an）×n÷2

如果題中有缺項，需要先求缺項再求和

第一類缺項是（）

1、已知等差數(shù)列2，5，8，11，14…，求前11項的和是多少？

2、數(shù)列1、4、7、10、……，求它的前21項的和是多少？

第二類缺項是（）

1、等差數(shù)列7，11，15，……… 87，這個數(shù)列的和是多少？

2、已知等差數(shù)列5，8，11…47，求這個數(shù)列的和是多少？

第三類缺項是（）

1、一個劇場設(shè)置了16排座位，后每一排都比前一排多2個座位，最后一排有68個座位，這個劇場共有多少個座位？

2、有10個數(shù)，后一個比前一個多5，第10個數(shù)是100，求這10個數(shù)的和是多少？ 第四類缺項是（）

sn=中間數(shù)×項數(shù)1、5個連續(xù)奇數(shù)，第一個數(shù)和最后一個數(shù)的和是18，求這5個連續(xù)奇數(shù)的和是多少？