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Tự vẽ hình nha.
c. Ta có: \(\left\{{}\begin{matrix}\widehat{BFA}=\widehat{FIA}+\widehat{IAF}\\\widehat{FAB}=\widehat{MAB}+\widehat{FAM}\end{matrix}\right.\)
Mà \(\widehat{FIA}=\widehat{MAB}\) (Cùng phụ \(\widehat{ABI}\) )
Và \(\widehat{IAF}=\widehat{FAM}\) (gt)
\(\Rightarrow\widehat{BFA}=\widehat{FAB}\) Hay \(\Delta ABF\) cân tại B.
Mà \(BE\perp AF\) ( \(\widehat{AEB}=90^0\) )
Nên \(AE=EF\) (1)
Ta lại có: \(\left\{{}\begin{matrix}HK\perp AE\\\widehat{HAE}=\widehat{KAE}\end{matrix}\right.\) Suy ra \(\Delta AHK\) là tg cân.
\(\Rightarrow HE=EK\) (2)
Từ (1)(2)suy ra \(AHFK\) là hình bình hành.
\(\Rightarrow FK//IA\)
Hay \(AIFK\:\) là hình thang. Để AIFK nội tiếp được đường tròn thì \(\widehat{BIA}=\widehat{IAM}\) \(\Rightarrow\widehat{BIA}=\widehat{ABI}\) \(\Rightarrow\widehat{MBA}=\widehat{MAB}=45^0\)
Hay M là điểm chính giữa cung AB./.
Có gì không hiểu cứ hỏi mình nha. !
Exercise 4 :
2, When I slow, I will late for the flight.
Write the second sentence so that it has the same meaning to the first one :
1. I think it would be a good idea to take the train.
=> I suggested ...........taking the train...........
2. She went out, nut she didn't say a word.
=> She went out without ......saying a word......
3. I often go to bed late.
=> I am used ......to going to bed late........
4. What about going to the cinema tonight ?
=> Shall we ........go to the cinema tonight........ ?
5. " Why don't you go with me ? ", he asked me.
=> He asked me why ......I didn't go with him........
6. She enjoys going swimming.
=> She is interested in .....going swimming..........
7. Does he spend most of his free time playing video games ?
=> Does it take .......he most of his free time to play video games....... ?
8. Does it take you 3 hours to do this task ?
=> Do you spend .......3 hours doing this task... ?
9. Lan didn't have breakfast, so she is very hungry now.
=> Because Lan ........didn't have breakfast, he is very hungry now........
10. Ho Chi Minh City is the largest city in Viet Nam.
=> No cities .......in Viet Nam are as large as Ho Chi Minh City.........
Question 1:Fill in each blank with one suitable word:
Most of the addicts are men. They come home from work, eat their meal quickly and then spend the evening on their computers. Some of them make programs, but most of them just play games. Some wives say the computer is killing their marriage. Their husbands play until three or four o'clock in the morning and all weekend. People call these lonely wives "computer windows".
When television became popular in the 1950s,doctors said it caused "television neck", "TV eyes" and other new illnesses. Now it is the home computer. People say it causes headaches, backaches and make their eyes tired. But worst of all, it is addictive. That means it is like drinking, smoking or taking drugs. Some people can't stop doing it.
Question 3:
A/ Choose the letter of the underlined portion which is not correct and correct it.
1.There's a new Oriental restaurant in town, isn't it?
\(\rightarrow\) isn't there
2.Nam seldom pays his bills on time, and his brother too.
\(\rightarrow\) doesn't, either
3.Mai didn't go to the zoo with her friends last Sunday because her sickness.
\(\rightarrow\) because of
4.The water and land around the chemical factory are serious polluted.\(\rightarrow\) seiously
5.Our neighbor will look for the garden when we go on holiday.
\(\rightarrow\) after
B/ Use rhe following sets of words and phrases to write complete sentences:
1. Look!/ sun/set/mountains.
-> Look! The sun is setting behind the mountains.
2. I/wait/half an hour/but she/not come.
-> I have waited for half an hour but she have not come.
3. If I/be/ him/ I/choose/ English/ learn.
-> If I were him, I would choose English to learn.
4. In/ end/ I decided/ not buy/ dictionary/ because/ too expensive.
-> In the end I decided not to buy the dictionary because it was too expensive.
5. This video film/ so interesting/ I/ see/ twice.
-> This video film is so interesting that I see it twice.
Question 4: Rewrite the following sentences, beginning each sentences with the cues:
1. Ann is good-looking and well-behaved.
- Not only is Ann good- looking but also she is well- behaved.
2. I think you should tell the police about the accident.
- If I were you, I would tell the police about the accident.
3."Have you hot any free time next week?" Mandy asked.
- Mandy asked me if I have hot any free time the following week.
4. She can't have more children because of her age.
- She is too old to have more children.
5.The children's singing was really beautiful.
- The children sang beautifully.
6. It's a cross-country vehicle with five doors.
- It's a five- door cross- country vehicle.
7.I think that no city in the world is more beautiful than Paris.
- I think Paris is the most beautiful city in the world.
8.The flight to Moscow lasted three and half hours.
- It took me three and half hours to fly to Moscow.
9. Henry regretted buying the second-hand car.
- Henry wished he had not bought the second- hand car.
10.I tried as hard as I could, but I just couldn't get the money.
- No matter how hard I tried, I just couldn't get the money.
Tranformation
1/ The discussion on this topic started 10 minutes ago
-> We have a discussion on this topic 10 minutes ago
2/ Collecting stamps from foreign countries is Nam's interests
-> Nam is interested in collecting stamps from foreign countries
3/ " Don't forget to do your assignments , Jack" said Jack's mother
-> Jack's mother reminded him to do his assignments
4/ Does everyone hate her?
-> Nobody likes her,do they?
5/ Because of their good performance, they won the match
-> Because they had performed well, they won the match.
6/ He said that, " I can't do these exercises in thirsty minutes "
-> He said that those exercises couldn't be done in thirty minutes
7/I think that no city in the world is more beautiful than Paris
-> I think Paris is the most beautiful city in the world
8/ A generous man gave the charity considerable money
-> The man who gave the charity considerable money is generous
9/ It took Mary two hours to travel to the countryside last week
-> Mary spent two hours travelling to the countryside last week
10/ Hoang is the tallest student in my class
-> No one is as tall as hoang in my class
11/ They said, " Let's take the entrance examination carefully "
-> They suggested that the entrance examination should be taken carefully
hoàn thành câu thứ hai để nó có nghĩa tương tự câu thứ nhất
1. they suggested banning advertisements on TV
=> They suggested that advertisements on TV should be banned
2. people say that they bought this shop last year
=> It is....said that they bought this ship last year ......
=> They are...said to have bought this ship last year...
3. " How much do you think it will cost ?" he said to me
=> he asked me...how much I thought it would cost...
4. Mr.Brown's team has lost the game.He looks very sad
=> Mr.Brown's whose...team has lost the game looks very sad.....
5. Do you know the man who sat next to me at Nam's birthday party last night?
=> You konow....???......
6. It takes Minh 2 hours to do his homework everyday
=> Minh spends......2 hours doing his homework everyday......
7. We were late for school because of the heavy rain
=> Because it ......rained heavily, we were late for school........
8. My mother used to make us clean the house
=> We used....to be made to clean the house by my mother.....
9. "I'm working in a restaurant, and don't care much for it." she said
=> She said.....she was working in a restaurant and didn't care much for it.....
10. Is;s two years since I last spoke to her
=> I haven't ...spoken to her for two years ......
11. Going swimming in the river in the summer is interesting
=> It.....is interesting to go swimming in the river in the summer.....
Viết lại câu giữ nguyên nghĩa :
1. He doesn't play the guitar as well as Henry.
⇒ Henry plays ......the guitar better than he does.........
2. Hang's house is farther from the city centre than my house.
⇒ My house is ......nearer with the city centre than Hang's house.........
3. Nobody in our class is more intelligent than Jane is.
⇒ Jane is ........the most intelligent in our class.......
4. No animal in the world is as big as a whale is.
=> A whale is ........the biggest animal on over world.......
5. Laura reads more quickly than her brother does.
=> Her brother .......reads slowly than she does........
6. Jack is the tallest student in this class.
=> Nobody ......in this class is taller than Jack is.........
7. Jane is a better swimmer than Mary.
=> Jane swims ......better than Mary.........
8. She is a more careful driver than I am.
=> She drives ......more carefully than me.........
9. Joe dances more gracefully than his partner.
=> Joe's partner ........dances less gracefully than Joe.......
10. Is this the cheapest pet food you have got ?
=> Have you .........had your own cheapest pet...... ?
11. My book isn't as interesting as yours.
⇒ Your book is .......more interesting than mine........
12. His car runs faster than a race car.
⇒ A race car ........run slowly than his car.......
13. He speaks Spanish more fluently than I do.
⇒ I ........speak Spanish less fluently than he does.......
14. Her watch isn't as expensive as mine.
⇒ My watch .......is more expensive than her watch........
15. You have to remove your shoes before going inside the house.
⇒ You ........can go inside the house if you remove your shoes.......
16. I waited for my friend for 2 hours, but he didn't arrive. (up)
⇒ Although I waited ........for my friend for 2 hours, he didn't arrive.......
17. It took me a few days to cover from my flu. (got)
⇒ I got over my flu for a few days
18. Lan and her sister don't have a good relationship with each other because they usually quarrel.(get)
⇒ Lan doesn't get on well with her sister because they usually quarrel.
1. "Don't try to open it now", she said to us
-> She told_us not to try to open it then_____________________________
2. "How long are you going to stay here?", I asked him
-> I asked him__how long he was going to stay there___________________________
3. "Jean, have you seen my gloves?" Thomas asked
-> Thomas asked Jean__if he had seen her gloves________________________
4. "I'll pay him if I can" she said
-> She said that__she would pay him if she could____________________________
5. If I don't come here early, I will miss the bus
-> Unless__i come here early, I will miss the bus ________________________________
6. If he doesn't do that, he will get bonus
-> Unless_he does do that, he will get bonus_________________________________
7. You can't visit Paris unless you get a visa
-> If_you don't get a visa,you can't visit Paris ______________________________________
8. You study harder or you will fail your exam
-> If_you don't study harder,you will fail your exam _______________________________________
9. If it doesn't rain, we will go for a picnic
-> Unless_it rains ,_ we will go for a picnic__________________________________
10. He lost his job because he was late every day
-> If__he hadn't been late every day,he wouldn't have lost his job_______________________________________
Câu ước :
1/ The weather isn't nice today.
→ I wish ....the weather were nice today......................
2/ I have to do a lot of homework today
-> I wish ...i didn't have to do a lot of homework today.......................
3/ My father smokes very often.
→ I wish ...my father didn't smoke very often.....................
4/ We live in a small house.
→ We wish ..we didn't live in a small house........................
5/ I don't have a longer vacation.
-> I wish ...i had a longer vacation.........................
6/ They don't stay in Hue
-> They wish .....they stayed in Hue.....................
7/ There aren't any apples in the fridge.
-> I wish ......there were some apples in the fridge........................
8. He can't pass the examination.
-> He wishes.....he could pass the examination.....................
9. We can't go out because of heavy rain.
→ We wish.....we could go out ............................
10. What a pity! He can't come here.
-> I wish.....he could come here...........................
11. Lan is sorry that she can't go to the movie tonight.
-> Lan wishes.....she could go to the movie tonight..........................
12. I don' know how to use an lpad.
-> I wish...i knew how to use an lpad..............................
13. Doan is not tall enough to play basketball.
-> Doan wishes ...he were tall enough to play basketball......................
14. He doesn't help his mother with housework.
-> I wish...he helped his mother with housework..........................
15. I don't have enough money to help you.
-> I wish...i had enough money to help you........................
16. My brother is too short to play basketball.
-> I wish....my brother weren't short to play basketball. ......................
17. My grandmother doesn't stay with me.
-> I wish....my grandmother stayed with me.........................
18. He can't swim very well
-> He wishes.....he could swim very well....................
19. My brother doesn't have a good job.
-> My brother wishes....he had a good job............ .....
20. I don't know how to speak French.
-> I wish....i knew how to speak French.............. ....
Câu điều kiện :
1. Rewrite the following sentences in such a way that they don't change the meaning
1. He doesn't have the money and he can not afford a new car.
-> If......he had the money ,he could afford a new car....................
2. I cannot go to the beach with you because I have a date with my old classmate.
-> If.....i didn't have a date with my old classmate,i could go to the beach with you....................
3. I never get very lonely because I have lots of good friends.
-> If....i didn't have lots of good friends,i would get very lonely.....................
4. The match can be cancelled because it rains heavily.
-> If.....it didn't rain heavily,the match couldn't be cancelled....................
5. Because Simon doesn't live near his mother, he can't visit her often.
-> If.....Simon lived near his mother, he could visit her often.....................
6. I don't have free time, so I can't go to see him.
-> If....i had free time,i could go to see him.....................
7. I am poor, I can't travel around the world.
-> If...i weren't poor,i could travel around the world.......................
8. I am not a millionaire, I can't help all people.
-> If....i were a millionaire,i could help all people..............................
9. I am not old enough; I can't decide my own life.
-> If...i were old enough,i could decide my own life.
10. I am very tired so I can't finish my work.
-> If....i weren't very tired,i could finish my work...............................
2. Rewrite the sentences with If
1. Stop using dynamite for fishing and a lot of sea creatures will be well preserved.
-> If people Stop using dynamite for fishing , a lot of sea creatures will be well preserved................................
2 Use less paper and we can save trees in the forest.
-> If we...use less paper,we can save trees in the forest...............................
3. Plant more trees along the streets and we will have more shade and fresh air.
-> If we Plant more trees along the streets , we will have more shade and fresh air.
4. Work hard and we'll make this beach a clean and beautiful place again.
-> If we Work hard ,we'll make this beach a clean and beautiful place again
5. Keep our environment clean and we'll live a happier and healthier life.
-> If we Keep our environment clean ,we'll live a happier and healthier life.
6. Ba isn't rich so he can't travel around the world.
-> If Ba were rich,he could travel around the world
7. Mr. Loc doesn't have a car so he doesn't drive it to work.
-> If Mr. Loc had a car,he would drive it to work.
8. Nam doesn't arrive at school on time because he doesn't have an alarm clock.
->If Nam had an alarm clock,he would arrive at school on time
9. Tuan can't get better grades because he doesn't study harder.
-> If Tuan studied harder,he could get better grades
10. I don't meet an alien from outer space so I don't invite her to my home.
-> If I met an alien from outer space ,i would invite her to my home.
I. Complete each sentence with one suitable preposition or connective :
( by; from; in; on; and; if; but; to; from; or; for; since; of; into; because; althought; therefore; however; up; so ; and; at; with )
1. They got married......in......2004
2. They have been married.....since......2004
3., Lan woke up late,...so.......she didn't have time for breakfast.
4. My classmate usually goes out.........on.......Saturday
5.My sister often goes to school..........at......... 7 o'clock
6. I have learnt English....for...........5 years.
7. Mr. Parker is a farmer.....but.........Mrs. Parker is a worker.
8. The ruler is ...BETWEEN......the lamp and the book.
9. The boys help Mr. Packer on the farm.......ALTHOUGH..... he is busy.
10. They got up quite late.......SO...........they missed the trairn.
11. Lan won't go to school........BECAUSE...........she is sick today.
12. The competitions will take place....BETWEEN...........8am and 2p.m.
13. The boy is afraid........OF..........snakes
14. Nga is sick today.......SO.... she won't go to school.
15. They are interested........IN..........buying a new house.
16. Don't worry.....ABOUT.......... the money! I'll lend you.
17, Don't shout at the child.....ALTHOUGH.........he makes a mistake.
18. Ba and Tam usually go fishing.....AT......weekends
19. The bus parked at the parking lot...OF..... waited for people to come back.
20. They have learnt English.....FOR...........many years.
21. She is famous ........FOR...........her beautiful face and sweet voice.
22. Mr. Parker grows maize on his farm.....BUT....... .Mrs. Parker works at a grocery store.
23. Mr. Brown is often worried.....ABOUT........money
24. It was hot........SO.......... turned on the air condition.
25. I'm very proud......OF..........my school.
26. Our little brother took a long nap.......FROM.....2p.m to 6p.m.
27. I haven't seen Mai for a few days. I last saw her......BY.......
Tuesday.
28. The price of petrol will go up.........IN.......November.
29. I will call you........ON...........Wednesday evening.
30. They have lived here........SINCE........2009.
31. The meeting will be.....FROM.......nine to eleven......IN...........the morning.
33. He has learned French........FOR.........5 years.
34. We must be there........BETWEEN.............. 8 am and 9 am
35. He usually does exercises..........IN........the afternoon.
36. He tried hard ..........SO....... he got good grades.
37. She is under 16,......SO.......she is not allowed to ride a motorbike. People usually get together.......∅..........at Christmas.
38. I'll phone you.......ON.......Tuesday morning.........AT.........about 10 o'clock. Isn't it OK.
39. His father dierd........IN........ 2005.
40. They haven't meet each other.........FOR..........a long time.
41. Lan's birthday is......ON............June 18h
42. She passed the exam.....BECAUSE........she is always hard-working
44. Goodbye! See you........ON........Monday
45. She is a kind girl,......BUT........few people like her.
46. It's very nice.........OF........ you to help the old man.
47. She likes mangoes, durians.......and.......... bananas.
ON Sunday afternoons I usually go for a walk.
48...........on........... Sunday afternoon I usually go for a walk.
49. Mr. Brown enjoys walking around his garden.....at..........night.
50. I woke up.........at......... five o'clock......in.......the morning.
57. Did you enjoy yourself last night? (time)
did you have a good time last night?
58. ldon‘t want to go to the party tonight > I don' t feel like. ..going to the party tonight......
59. She can' t have more children because of her age. > She is too .....old to have more children......
60. He lost his money simply because he wasn' t careful > If .....he had been careful, he wouldn't have lost his money simply.......
61 Tom and Mary moved to Paris 20 years ago. >lt is.....20 years since tom and mary moved........ ............
62. I haven’t seen so much rain for along time. ==> It....is a long time since I saw so much rain......
64. It is high time for US to go home => It is high time we .......went home..... .....
65. You can’t go in to this restaurant without a jacket and tie. =>Unless ...you have a jacket and tie, you can't go into this restaurant ...
66. The question was so difficult that no one could answer it. ==> It was such ...the difficult question that no one could answer it......
67 She hasn’ t finished the letter yet. => This letter ...hasn't been finished yet...
68. He isn't good at English. He can' t get a job. => If. ......he were good at english, he could get a job...............
69 Mary doesn't spend much money. She spent much money last month => Mary doesn' t....spend as much money this year as she did last month.....
70. The weather isn't t fine We can ’t go for a walk in the woods. => If ........the weather was fine, we could go for a walk in the woods............ ..
71. I' ll ask someone to make a new dress. --> I'll have ......a new dress made..........
72. The bridge might be built in a hurry.=>. People ....... . ..........might build the bridge in a hurry..... ................. . .....
73. You really should be able to dress yourself by now.=> It’s high time ....you dressed yourdress....
74. i wish i hadn’t told him what we were planning to do that evening.=> I regret ...telling him what we were planning to do that evening. ....
75. I have never eaten with knives and folks before. => This is ....the first time i have eaten with knives and folks....
76. “Why don’t you ask Tom for help, Mary?” Ba said.=> Ba suggested..mary should ask tom for help...
77.Ba is too young to see horror films.=> Ba is not.....old enough to see horror films............
79. They once started these machines by hand. => They used to ..these machines by hand ..
80. He works hard and he will pass the exam. => If he...didn't work hard, he wouldn't pass the exam......
57. Did you enjoy yourself last night? (time)
=> Did you have a got time last night
58. ldon‘t want to go to the party tonight > I don' t feel like. ..going to the party tonight......
59. She can' t have more children because of her age. > She is too .old to have more children..........
60. He lost his money simply because he wasn' t careful > If ....he had been careful, he wouldn't have lost his money simply ....
61 Tom and Mary moved to Paris 20 years ago. >lt is..20 years since Tom and Mary moved to Paris....
62. I haven’t seen so much rain for along time. ==> It..a long time since I last saw so much rain........
64. It is high time for US to go home => It is high time we ..went home ....
65. You can’t go in to this restaurant without a jacket and tie. =>Unless ..you have a jacket and tie, you can't go into this restaurent....
66. The question was so difficult that no one could answer it. ==> It was such ..a difficult question that no one could answer it .......
67 She hasn’ t finished the letter yet. => This letter hasn't been finished by him yet ......
68. He isn't good at English. He can' t get a job. => If. ..he were good at English, he could get a job .....
69 Mary doesn't spend much money. She spent much money last month => Mary doesn' t.spend as much money this month as she did last month ........
70. The weather isn't t fine We can ’t go for a walk in the woods. => If .the weather fines, we will go for a walk in the woods........
72. The bridge might be built in a hurry.=>. People ..said that they might built the bridge in a hurry..
74. i wish i hadn’t told him what we were planning to do that evening.=> I regret ...telling him what we were planning to do that evening....
75. I have never eaten with knives and folks before. => This is the first time I have ever eaten with knives and folks........
77.Ba is too young to see horror films.=> Ba is not.old enough to see horror films ..........
79. They once started these machines by hand. => They used to .start these machines by hand . ..
80. He works hard and he will pass the exam. => If he.workes hard, he will pass the exam......
Còn vài câu mk chưa làm đc bn thông cảm nha!!!! 
1. They no longer write to each other.
-> They used .....to write to each other. ..........
2. I can't get that job because I don't know English.
-> If......knew english, i could get that job.............
3. I think that no city in the world is more beautiful than Paris.
-> I think Paris ....is the most beautiful city in the world.........
4. " Is your mother cooking in the kitchen now?" I said to Lan
-> I asked Lan ....if her mother was cooking in the kitchen then......