Cho đường tròn (O) và điểm K nằm bên ngoài đường tròn (O). Kẻ hai tiếp tuyến KA,KB với đường tròn (O), A và B là các tiếp điểm. Từ điểm K vẽ đường thẳng d cắt đường tròn (O) tại hai điểm C,D (KC <KD, d không đi qua tâm O).
1) Chứng minh tứ giác KAOB là tứ giác nội tiếp.
2) Gọi giao điểm của đoạn thẳng AB với đoạn thẳng OK là M. Chứng minh KA²=KC.KD =KM.KO.
3) Chứng minh đường thẳng AB chứa tia phân giác của CMD
VII. Choose the underlined word or phrase (A, B, C or D) that needs correcting.
1. If a drop of oil is placed in a glass of water, it would float to the top.
A B C D
2. TheTuoi Tre is a daily newspaper that is wide read by both teenagers and adults.
A B C D
3. My parents wouldn’t let me stavingup late when I was a child.
A B C D
4. Her children are used to picking up after school every day. They don’t have towalk home.
A B C D
5. I’musually right about the weather, amn’tI?
A B C D
6. Could I change seats with you? I’d like sittingnext to my friends.
A B C D
7. Watch television to the exclusion of all other activities is not a healthy habit for agrowing
A B C D
child.
8. Hans is only fourteen, but he seemsenough oldto stay out until ten.
A B C D
9. I think that’s an interesting thought, isn’tthat?
A B C D
10. Greeting enough sleep is important in ordernot fall asleep is class.
A B C D
Make the best choice
1. He was sentenced to six months in prison for his part in the robbery
A. He received a six months in prison for his part in the robbery.
B. He received a six-month sentence for his part in the robbery.
C. For his participation in the robbery, he had been in prison for six months.
D. For his participation in the robbery, a prison had been given to him for six months.
2. Madeleine wears high heels to look taller.
A. In order to look taller, Madeleine wears high heels.
B. So that to look taller, Madeleine wears high heels.
C. Madeleine wants high heels to make her taller.
D. Madeleine buys high heels to look taller.
3. He started learning French six years ago.
A. He has learned French for six years.
B. It was six years ago did he start learning French.
C. He hasn’t learnt French for six years.
D. It is six years since he has learnt French.
4. People believed he won a lot of money on the lottery.
A. He is believed that he won a lot of money on the lottery.
B. He won a lot of money on the lottery, it is believed.
C. He is believed to have won a lot of money on the lottery.
D. He was believed to win a lot of money on the lottery.
5. “Why don’t you get your hair cut, Gavin?” Said Adam .
A. Adam advised Gavin to cut his hair.
B. Gavin was suggested to have a haircut.
C. It was suggestible that Adam get Gavin’s haircut.
D. Adam suggested that Gavin should have his haircut.
6. “Leave my house now or I’ll call the police!” shouted the lady to the man.
A. The lady threatened to call the police if the man didn’t leave her house.
B. The lady said that she would call the police if the man didn’t leave her house.
C. The lady told the man that she would call the police if he didn’t leave her house.
D. The lady informed the man that she would call the police if he didn’t leave her house
7. “You should have finished the report by now” John told his secretary.
A. John reproached his secretary for not having finished the report.
B. John said that his secretary had not finished the report.
C. John reminded his secretary of finishing the report on time.
D. John scolded his secretary for not having finished the report
8. “I will pay back the money, Gloria.” Said Ivan .
A. Ivan apologized to Gloria for borrowing her money.
B. Ivan offered to pay Gloria the money back.
C. Ivan promised to pay back Gloria’s money.
D. Ivan suggested paying back the money to Gloria.
9. The woman was too weak to lift the basket.
A. Although she was weak, she could lift the basket.
B. The woman shouldn't have lifted the basket because she was so weak.
C. She was so weak that she couldn't lift the basket.
D. The woman lifted the basket, so she wasn't very weak.
10."If I were you, I would take a break," Tom said to Daisy.
A. Tom wanted to take a break with Daisy.
B. Tom advised Daisy to take a break.
C. Tom suggested not taking a break.
D. Tom wanted to take a break, and so did Daisy.
11. They got success since they took my advice.
A. They took my advice, and failed.
B. If they did not take my advice, they would not get success.
C. But for taking my advice, they would not have got success.
D. My advice stopped them from getting success.
12. I am very interested in the book you lent me last week.
A. The book is interesting enough for you to lend me last week.
B. It was the interesting book which you lent me last week.
C. The book which you lent me last week is too interesting to read.
D. The book that you lent me last week interests me a lot
13.They did not let me in because I was not a member of the club.
A. They invited me although I was not a member of the club.
B. They did not allow me to enter because I was not a member of the club.
C. They invited me to the clubs as if I had been a member.
D. They asked me to get out of the club because I was not a member.
14. His eel soup is better than any other soups I have ever eaten.
A. Of all the soups I have ever eaten, his eel soup is the best.
B. I have ever eaten many soups that are better than his eel soup.
C. His eel soup is the worst of all soups I have eaten.
D. His eel soup is good but I have ever eaten many others better.
15. The last time I went to the museum was a year ago.
A. I have not been to the museum for a year.
B. A year ago, I often went to the museum.
C. My going to the museum lasted a year.
D. At last I went to the museum after a year
16. They are not allowed to go out in the evening by their parents.
A. Their parents do not want them to go out in the evening.
B. Their parents never let them to go out in the evening.
C. Going out in the evening is permitted by their parents.
D. Although their parents do not allow, they still go out in the evening.
17. This is the first time I attend such an enjoyable wedding party.
A. The first wedding party I attended was enjoyable.
B. I had the first enjoyable wedding party.
C. My attendance at the first wedding party was enjoyable.
D. I have never attended such an enjoyable wedding party before.
18. I have not met her for three years.
A. The last time I met her was three years ago.
B. It is three years when I will meet her.
C. I did not meet her three years ago.
D. During three years, I met her once.
19."How beautiful is the dress you have just bought!" Peter said to Mary.
A. Peter promised to buy Mary a beautiful dress.
B. Peter said thanks to Mary for her beautiful dress.
C. Peter complimented Mary on her beautiful dress.
D. Peter asked Mary how she had just bought her beautiful dress.
20. Barry continued to smoke even though we had advised him to quit.
A. Barry took our advice so he stopped smoking.
B. If we had advised Barry, he would have quit smoking.
C. Barry did not quit smoking because of our advice.
D. Despite being told not to smoke, Barry continued to do.
Mark the letter A, B, C, or D on your answer sheet to indicate the correct answer.
1. The phone________ constantly since Jack won the first prize this morning.
a. has been ringing b. rang c. had rung d. had been ringing
2. The earth________ on the sun for its heat and light.
a. is depend b. depending c. has depend d. depends
3. I don't feel good. I ________ home from work tomorrow.
a. am staying b. stay c. will have stayed d. stayed
4. In the last two decades, space exploration___great contributions to weather forecasting.
a. is making b. has made c. made d. makes
5. On July 20, 1969, Neil Armstrong ________ down onto the moon, the first person ever set foot on another planet.
a. was stepping b. stepped c. has stepped d. was step
6. The wedding party________ at the Rex Hotel.
a. is b. is being c. will be d. is going to be
7. How many languages_____ John speak?
a. do b. does c. did d. will
8. Hurry! The train________ I don't want to miss it.
a. comes b. is coming c. came d. has come
9. Angelina Jolie is a famous actress. She ________ in several film.
a. appears b. is appearing c. appeared d. has appeared
10. I saw Maggie at the party. She ________ in several film.
a. wears b. wore c. was wearing d. has worn
11. What time________ the next train leave?
a. does b. will c. shall d. would
12. Monica________ with her sister at the moment until she finds a flat.
a. stays b. is staying c. will stay d. is going to stay
13. After I________ lunch, I looked for my bag.
a. had b. had had c. have has d. have had
14. By the end of next year, George________ English for 2 years.
a. will have learned b. will learn c. has leaned d. would learn
15. The man got out of the car,_______ round to the back and opened the boot.
a. walking b. walked c. walks d. walk
16. For several years his ambition ________ to be a pilot.
a. is b. has been c. was d. had been
17. Henry________ into the restaurant when the writer was having dinner.
a. was going b. went c. has gone d. did go
18. He will take the dog out for a walk as soon as he ________ dinner.
a. finish b. finishes c. will finish d. shall have finished
19. Before you asked, the letter________
a. was written b. had been written c. had written d. has been written
20. She ________ English at RMIT these days.
a. studies b. is studying c. will study d. is gong to study
21. She's at her best when she________ big decisions.
a. is making b. makes c. had made d. will make
22. We________ next vacation in London.
a. spend b. are spending c. will spend d. are going to spend
23. Robert________ tomorrow morning on the 10:30 train.
a. arrived b. is arriving c. has arrived d. would arrive
24. Look! The bus________
a. left b. has left c. leaves d. is leaving
25. Mike________ one hour ago.
a. phoned b. was phoning c. had phoned d. has phoned
26. I shall be glad when he________
a. had gone b. did go c. went d. had gone
27. Ask her to come ad see me when she ________ her work.
a. finish b. has finished c. finished d. finishing
28. After you finish your work, you________ a break.
a. should take b. have taken c. might have taken d. takes
29. Oil________ if you pour it on water
a. floated b. floats c. will be floated d. float
30. When he returned home, he found the door________.
a. unlocking b. unlocked c. to be unlocked d. have unlocked
31. That dancing club________ north of the city
a. lays b. lies c. locates d. lain
32. Almost everyone________ for home by the time we arrived.
a. leave b. left c. leaves d. had left
33. By the age of 25, he ________ two famous novels.
a. wrote b. writes c. has written d. had written
34. While her husband was in the army, Janet________ to him twice a week.
a. was writing b. wrote c. was written d. had written
35. I couldn't cut the grass because the machine_______ a few days previously.
a. broken down b. has been broken c. had broke down d. breaks down
36. We ________English this time last week.
a. learned b. were learning c. have learned d. had learned
37. Is it raining? - No, it isn't but the ground is wet. It________
a. rained b. had rained c. has rained d. has been raining
38. Her family________ to America before 1975.
a. went b. have gone c. had gone d. would go
39. When I arrived at the party, Martha________ home already.
a. went b. have gone c. had gone d. would go
40. Henry________ for 10 years when he finally gave it up.
a. has smoked b. has been smoking c. had smoked d. had been smoking'
41. Yesterday morning I got up and looked out of the window. The sun was shinning but the ground was very wet. It________
a. rained b. has been rainingc. had rained d. had been raining
42. We ________ our examination next month.
a. have b. shall have c. will have had d. will be having
43. Look that those black clouds! It________
a. is going to rain b. will rain c. would rain d. can rain
44. We________ English this time next Monday.
a. learn b. will learn c. are learning d. will be learning
45. We________ this course before the final examination.
a. are going to finish b. have finished c. will finish d. will have finished
46. I________ "Chicken soup for the soul" but I haven’t finished it yet.
a. read b. am reading c. have been reading d. was reading
47. Alan took a photograph of Sandra while she________
a. didn't look b. wasn't looking c. hasn't looked d.. hadn't looked
48. I ________ my key. Can you help me look for it?
a. lose b. lost c. had lost d. have lost
49. Last night Tine________ in bed when suddenly she heard a scream.
a. read b. was reading c. had read d. had read
50. We________ a part next week. Would you like to come?
a. have b. will have c. are having d. will have had
51. The Red River________ very fast today-much faster than yesterday.
a. flows b. is flowing c. will flow d. is going to flow
52. While mother________ dinner the phone rang.
a. cooked b. had cooked c. has cooked d. was cooking
53. Fish________ on earth for ages and ages.
a. existed b. are existing c. exist d. have existed
54. When boarding the plane, many passengers were annoyed because they ________ waiting in the airport for three ad a half hours.
a. are b. were c. have been d. had been
55. If coastal erosion continues to take place at the present rate, in another fifty years this beach________ any more.
a. doesn't exist b. isn't going to exits c. isn't existing d. won't be existing
56. Their football team________ a championship until last season.
a. had never won b. is never winning
c. had never been winning d. had never won
57. By the end of this year, Tom ________English for three years.
a. will be studying b. has studied c. will have studied d. has been studying
58. In one year's time, I________ in this school for 15 years.
a. will be working b. will work c. will have studied d. has been studying'
59. They ________ this course by next June.
a. have finished b. will finish c. are going to finish d. will have finished
60. She will go abroad as soon as she________ this English course.
a. has completed b. will complete c. will have completed d. completed
61. The child________ before the doctor arrived.
a. died b. had died c. has died d. was dying
62. We cleaned up the room as soon as the guests________
a. had left b. has left c. left d. were leaving
63. The secretary________ the report by 10:00 yesterday.
a. hasn't finished b. hasn't finished c. didn't finish d. would finish
64. Jane's eyes are red. She________
a. cried b. has cried c. has been crying d. had cried
65. This room is dirty. Someone________ in here.
a. smoked b. has smoked c. had been smoking d. has been smoking
66. Arsenal________ next Monday.
a. wins b. will win c. would win d. is winning
67. it________ rain tomorrow.
a. rains b. will rain c. is going to rain d. is raining
68. I'll come and see you before I ________ for America.
a. leave b. will leave c. have left d. shall leave
69. The little girl asked what________ to her friend.
a. has happened b. happened
c. had happened d. would have been happened
70. John________ a book when I saw him.
a. is reading b. read c. was reading d. reading
71. He said he________ return later.
a. will b. would c. can d. would be'
72. Jack________ he door.
a. has just opened b. open c. will have opened d. opening
73. I have been waiting for you________
a. since early morning b. since 9 a.m
c. for two hours d. all are correct
74. My sister________ for you since yesterday.
a. is looking b. was looking c. has been looking d. looked
75. Jack________ the door.
a. has just painted b. paint c. will have painted d. painting
76. The train________ half an hour ago.
a. has been leaving b. left c. has left d. had left
77. We________ Doris since last Sunday.
a. don't see b. haven't seen c. didn't see d. hadn't seen
78. When I last saw him, he________ in London.
a. has lived b. is living c. was living d. has been living
79. She is tired now. She________ for a long time.
a. has been learning b. has learned c. learns d. learned
80. They will have gone home before you________ to meet them.