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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.
Rewrite the sentences so that they are nearest in meaning to the sentence printed before them .
1. Try hard and you can pass the examination.
-> If ........you Try hard, you can pass the examination..................................................................
2. The teacher said:" Don't talk in class"
-> The teacher ordered us..............not to talk in class....................................
3. Mrs Huong said" chanh quan ! Why do you go to school late?"
->Mrs Hương asked ...............chanh quan why he went to school late.................................
4. Tuong son said ," The sun rises in the East."
-> Tuong son said............the sun rises in the East.....................................
5. Does your brother use the Internet every day ?
-> Your brother..........use the Internet every day, doesn't he?............
6. Reading newspapers in the morning gives him pleasure.
-> He enjoys..............Reading newspapers in the morning..................
7. DO you like playing socccer?
-> Are you .....interested in playing socccer?........................
8.The river is too dirty for us to swim in.
-> Since.................The river is too dirty, we can't swim in it...........
10. Let's use public buses intead of motorbikes.
-> How.........about using public buses intead of motorbikes.................
giúp mình bài tập tiếng anh với. mai là nộp òy mà còn 1đống. Anh ...
Nhấn vào đây !
Finish each of the following sentences in such a way that it means exactly the same as the sentences printed before it
1. "If you don't take it easy, you'll have another heart attack." the doctor said to the patient.
-> The doctor warned the patient to ake it easy or he would have another heart attack
2. I know this reporter's back ground well and he's 100% honest.
-> This reporter whose background I know well is 100% honest
3. They stretched a rope from one side of the crevasse to the other in oder to (chữ bị mờ) their equipment.
=>By stretching a rope from one side of the crecasse to the other, they could haul their equipment across.
4. People no longer smoke so many cigarettes as they used to.
-> The people used to smoke more cigarettes than now
5. we've been thinking the matter over and have finally come to a decision.
-> We've given the matter a lot of thought and have finally come to a decision
6. Why isn't this TV working?
->What 's wrong with this TV?
7. I've never tasted pheasant before.
-> This is the first time i have tasted pheasant.
8. If there's an emergency, ring this number.
-> In case of emergency, ring this number.
9. I never miss out on a cup of coffee when I visit her flat.
-> She always offers me a cup of coffee when i visit her flat.
10. The engine failed because a part had been badly fitted.
-> The engine failure was caused because of a badly fitted part.
1 Although it rained heavily,they play soccer
->In spite of....the heavy rain,they play soccer......
2 the dress no longer fits her well .Her boyfriend gave her the dress
->the dress......used to fit her well .Her boyfriend gave her the dress................
3 As she was violently sick, she couldn't come to class
->Because of.....being violently sick, she couldn't come to class.........
4 She can save much water by taking showers instead of baths
-> if she....takes showerbinstead of baths, she can save much water...
5 The film Titanic is on at Rex cinema.Have you seen it?
-> Have you.......seen The film Titanic on at Rex Cinema.......
6 In spite of having a terrible headache she went to work all the same
->she went to work although.........she had a terrible headache.....
7 He felt very nervous at the interview but he got the job
-> he got the job despite.....feeling very nervous at the interview.....
8 "how long does it take you to do your homework?"
->he ask his sister......how long it took her to do her homework.......
9 It's a pity.huong fails her math test(not)
-> huong wishes she didn't fail her math test
10 the exercise is diffcult ,so we can't do it well(could)
->We....wish we could do the exercise athough it is............difficult
1. I’m having a lot of trouble now because I lost my passport last week
=> If I hadn't lost my passport last week, i wouldn't have a lot of trouble now. (CĐK kết hợp loại 2 và 3, có xuất hiện trạng từ chỉ thời gian).
2. She had hardly begun to speak before people strarted interrupting her
=> Hardly had she began to speak when people started interrupting her.
3. “ You should have waited for us,” the team leader said to Jonh
=>The team leader criticised John for not waiting for them.
4. I only made the tirrible mistake because I wasn’t thinking
=> If I had been thinking, i wouldn't have made the terrible mistake.
5. When the police caught him, he was climbing over the garden wall
=> The police caught him when he was climbing over the garden wall.
6. It was a bit difficult to get into work this morning.
-> Getting into work in the morning was a bit difficult.
7. It’s possible that he didn’t get my letter
=> He might not have got my letter.
8. We had planned to visit grandmother, so we left carly in the morning
=> We were about to visit grandmother, so we left early in the morning.
9. It’s sad, but unemmployment is unlikely to go down this year
=> Sad as it is, unemployment is unlikely to go down this year.
10. We regret to imform you that your application has not been successful
=> Much to our regret, your application has not been successful.
Finish each of the following sentences in such a way that it means exactly the same as the sentences printed before it
1."If my members agree to that I'll be very surprised" said the union delegate.
-> The union delegate observed that he would be very surprised if his members agreed to that.
2. My mother was the most warm-hearted person I've ever known.
-> I've never known a more warm-hearted person than my mother.
3. She wore a hearing-aid, even thoguh she could hear the phone ring perfectly well.
-> She wasn’t so bad at hearing the phone ring but she wore a hearing-aid.
4. You think that fat people are always jolly but you are wrong.
-> Contrary to your thought, fat people aren't always jolly.
5. I wasn't a bit surprised to hear that Karen had changed her job.
-> it came as no surprise to me that Karen had changed her job.
6. Although Christopher was the stronger of the two, his attacker soon overpowered him.
-> Despite his strength, Christopher was soon overpowered by his attacker.
7. The company presents a gold watch to each of its retiring employees.
-> Each of its retiring employees is presented a gold watch by the company.
8. "That's a lovely new dress,Jean" said her mother.
-> Jean's mother complimented her on the lovely new dress.
9. You'll certainly meet lots of people in your new job.
-> You are supposed to meet lots of people in your new job.
10. Everyone started complaining the moment the announcement was made.
-> No sooner had the announcement been made than everyone started complaining.
Rewrite each of the sentences so that it means the same as the one before it.
1. I went to the zoo last week and that is where I saw a real tiger for the first time.
=>Before I.........went to the zoo last week, I had never seen a real tiger...............
2. "Why don't we share the cost of the tour?" said my friend.
=> My friend suggested.......that we share the cost of the tour..........
3. Thousands of tuorists visit My Son Sanctuary every year.
=>My Son Sanctuary.......is visited by thousands of tourists every year..........
4. Can't you find a better hotel?
=> Is this..the best hotel you can find?..................
4. We don't go on holiday because we do not have enough money.
=>If we.....had enough money, we would go on holiday....................
Complete the sentences with the correct form or tense of the verb in brackets
1. His joke made us ( laugh) ___laughing__ a lot.
2. I don't want (take) __to take__ care of as if I were a child.
3. They advised him (not cross) __not to cross___ the street against the red lights
4. We (look) __were looking_ for a cafeteria when we met Sue.
5. My dad (already/ be) __has already been__ to Hanoi many times
6. Do you have any difficulty in (solve) ___solving____ this problem?
Complete the unfinished sentence in such a way that it means nearly the same as the sentence printed before it.
1. the news worried them, and they were unhappy
-> It was such worrying news that they were unhappy
2. We can always check this machine before we use it
-> I suggest we should always check this machine before we use it
3. he couldn't come to the meeting, which was a real pity
-> I wish he had come to the meeting
4. Someone repaired the television set for Bill
-> Bill had his television set repaired
5. After many years of hard work, he retired
-> After he had worked for many years, he retired
6. She has never been to dance before.
-> this is the first time she has been to dance .
7. Music interests her greatly
->She takes an interest in music
8. he was nice to help me with the Math problem
-> It was nice of him to help me with the Math problem
9. we had a very good time at the seaside
-> We enjoyed our time at the seasde very much
10. It is said that Federer is the best tennis player now.
- Federer is said to be the best tennis player now
Finish each of the following sentences in such a way that it means exactly the same as the sentences printed before it
1. "Nothing will persuade me to sleep in that haunted house." she said
-> She flatly refused to sleep in that haunted house
2. The demand was so great that they had to reprint the book immediately.
-> So great was the demand that they had to reprint the book immediately.
3. When the minister was asked about the strike, he declined to comment.
-> On being asked about the strike , minister declined to comment
4. The authorities will prosecute anyone they find trespassing on this land.
-> Anyone found trespassing on this land will be prosecuted by the authorities
5. It wasn't necessary for them to call help after all.
-> they needn't have called help after all.
6. I'm absolutely sure that they weren't playing in this weather.
-> They can't have been playing in this weather.
7. There was no need for you to have gone to all that trouble.
-> You needn't have gone to all that trouble.
8. I prefer going out for a meal to staying at home.
-> I'd rather go out for a meal than stay at home.
9. You won't find a more dedicated worker any where than Mrs Jones.
-> Nowher will you find a more dedicated worker than Mrs Jones.
10. 'I did not steal the car' he said 'I just borrow it'
-> He denied stealing the car .but admitted borrowing it