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I: SENTENCE TRANSFORMATION 1. The fox was unsuccessful in reaching the grapes.(VAIN) →The fox tried in vain to reach the grapes. 2. The crops were badly affected by the storm. (EFFECT) →The storm had a badly effect on the crops. 3. The project received unanimous approval of the committee.(FAVOUR) →The whole committee was/were in favour of the project. 4. The personnel officer promised him that she wouldn’t tell any one that he had been in the prison. (WORD) →The personnel officer gave him her word that she… 5. Nobody could possibly believe the story he told us. (BEYOND) →The story he told us was beyond belief 6. I had lost his phone number, so I could not contact him before. (TOUCH) → I could not keep/get in touch with him because I had lost his phone number. 7. I enjoy being the boss of a small company. (FISH) →I enjoy being a big fish in a small pond. 8. The success of our local theater has made our city famous. (MAP) →The success of our local theater has put our city on the map. 9. She is not upset; she is only pretending. (ACT) →She is not upset; she is only putting on an act. 10. The bank robbers escaped in a stolen car. (GETAWAY) →The bank robbers made a getaway in a stolen car. 11. As people use a lot of wood-pulp, many trees are cut down. →The more wood-pulp is used, the more trees are cut down 12. Because of the absence of the atmosphere on the moon, the sky there is black, just as in space. →Because there is no atmosphere on the moon, the sky… 13. These young men became doctors after six years training. →After these young men had been trained for six years, the became doctors 14. People believe that the Chinese invented paper in 105 A.D. →Paper is believed to have been invented by the Chinese in 105 A.D. 15. A man I don’t know told me about that. →I was told about that by a man I don’t know. 16. That was a silly thing to say! →What a silly thing to say! 17. We’ve run out of petrol. →There is no more petrol left. 18. It takes six hours to drive from here to London. →It is a six hour drive from here to London. 19. He was sorry he hadn’t said goodbye to her at the airport. →He regretted not saying goodbye to her at the airport. 20. They failed to find out a solution to the problem. →They didn’t succeed in finding out a … 21. Most stores will accept a credit card instead of cash. (ALTERNATIVE) →Most stores will accept a credit card as an alternative to cash. 22. You can avoid tooth decay by brushing your teeth regularly. (PREVENT) →Brushing your teeth regularly can prevent tooth decay. 23. Some of Peter’s expressions make me think of my brother. (REMIND) →Some of Peter’s expressions remind me of my brother. 24. When do you think this bridge was built? (OLD) →How old do you think this bridge is? 25. That old typewriter is not worth repairing. (POINTLESS) →Repairing that old typewriter is pointless. 26. They share a lot of hobbies and interests. (COMMON) →They have a lot of hobbies and interest in common. 27. This train should have left 30 minutes ago. (MEANT) →This train was meant to leave 30 minutes ago. 28 The president arranged for me to use his chauffeur-driven car whenever I liked. (DISPOSAL) →The president placed/put his chauffeur-driven car at my disposal. 29. The painting is worth $25,000. (VALUED) →The painting has been valued at $25,000. 30. This passport can be used in most countries. →This passport can be valid for most countries. 31. My bank manager and I get on together very well. (TERMS) →I am on very good terms with my bank manager. 32. That hotel is a bit too expensive for us, I am afraid. (REACH) →That hotel is a bit beyond our reach, I am afraid. 33. Absolute secrecy was crucial to the success of the mission. →Without absolute secrecy, the mission wouldn’t have succeeded. 34. Immediately after his arrival home a water-heater exploded. →Hardly had he arrived home when a water-heater exploded. 35. Rita doesn’t realize how serious her husband’s operation is going to be. →Little does Rita realize how … 36. VnDoc - Tải tài liệu, văn pháp luật, biểu mẫu miễn phí Complete the second sentence so that means the same as the first (Viết lại câu đồng nghĩa với từ gợi ý cho trước) The theatre has two cafes There are two cafes in the theatre Alison said that the booking office telephone was always engaged Alison said: “How booking office telephone is always engaged.” Peter said: “Why don’t you go to the booking office yourself” Peter said: “How about going to booking office yourself? Many theatres accept credit cards At many theatres you can use your credit cards to pay for your tickets You can’t smoke in the theatre Smoking is not allowed in this theater He spoke so softly that we couldn’t hear him His voice was so soft that we couldn’t hear him The university has never been ranked number one before This is the first time the university has been rank number one They saw him drink and drive He was seen to drink and drive I didn’t work hard, so I failed the exam I wish I has worked hard (harder) 10 “How long have you been here?”, he asked He asked (me) how long I had been there 11 Last month my sister borrowed the novel from me Last month I lent my sister the / this / my novel 12 She hadn’t read a novel before This is the first novel ( that / which ) she / my sister has (ever) read 13 The novel has 150 pages There are/’re 250 pages in the / this novel / book 14 This novel is longer than Joan Brady’s other books Joan Brady’s other books are (normally / usually ) shorter than this (one / novel / book) 15 How much does the novel cost? VnDoc - Tải tài liệu, văn pháp luật, biểu mẫu miễn phí What is the price / cost of the / this novel / book? 16 It’s not worth trying to make her change her mind There’s no point trying to make her change her mind 17 He was driving very fast because he didn’t know the road was icy If he had known the road was icy, he wouldn’t have been driving so fast 18 I haven’t seen her since we left school The last time I saw her was when we left school 19 I get to work in twenty minutes It It takes me 20 minutes to get to work 20 “Don’t walk on the grass”, the gardener said to us The gardener told us not to walk on the grass 21 Somebody repaired her car yesterday She had her car repaired 22 You must see the manager tomorrow morning You’ve / got / to see the manager tomorrow morning 23 I’ve warned you not to go near that dog I’ve warned you about (your) going near that dog 24 She can meet him if he arrives before eleven So long as he arrives before eleven she can meet him 25 There was never any answer when he rang Every time he rang there wasn’t any answer 26 No one expected his coming He wasn’t expected to come 27 He offered ma a glass of wine “Would you like a glass of wine?”, he said 28 They changed their plan because the weather was bad Due to bad weather, they changed their plan 29 The increasing number of cars has caused serious air pollution Air pollution has been caused by the creasing number of cars 30 “ What does it mean to you?” Rosemary asked me Rosemary wanted to know what it meant to me VnDoc - Tải tài liệu, văn pháp luật, biểu mẫu miễn phí MỘT SỐ BÀI TOÁN HÌNH HỌC PHẲNG LUYỆN THI TST Bài 1. Cho tam giác ABC nhọn nội tiếp đường tròn (O) có hai tiếp tuyến ở B và C của (O) cắt nhau tại P. Gọi Q là một điểm bất kì thuộc tia AP. Gọi (O 1 ) và (O 2 ) lần lượt là tâm đường tròn ngoại tiếp tam giác ABQ và ACQ. Chứng minh rằng trung điểm của O 1 O 2 di chuyển trên một đường cố định. 1 Bài 2. Cho hai điểm A, B phân biệt nằm trên đường tròn (O) và C nằm ngoài (O). Gọi CS và CT là các tiếp tuyến của C với (O) với S, T là các tiếp điểm, M là trung điểm của cung nhỏ AB. Các đường thẳng MS, MT cắt AB lần lượt tại E, F. Đường thẳng đi qua E, F vuông góc với AB cắt OS, OT lần lượt tại X, Y. Một đường thẳng bất kì qua C cắt (O) tại P, Q (P nằm giữa C và Q). Gọi R là giao của MP với AB, Z là tâm đường tròn ngoại tiếp tam giác (PQR). Chứng minh rằng X, Y, Z thẳng hàng. 2 Bài 3. Cho tam giác ABC nhọn có M, N lần lượt là trung điểm các cung nhỏ AC, AB. Gọi D là trung điểm của đoạn MN. Gọi G là một điểm bất kì thuộc cung nhỏ BC. Gọi I, J, K lần lượt là tâm đường tròn nội tiếp của các tam giác ABC, ABG, ACG. Gọi P là giao điểm của đường tròn ngoại tiếp tam giác ABC với đường tròn ngoại tiếp tam giác GJK. Chứng minh rằng điểm P nằm trên đường thẳng DI. 3 Bài 4. Xét ABC là một tam giác không cân thay đổi và thỏa mãn 2 2 2 2CA CB AB+ = . Gọi M là trung điểm AB và D là chân đường phân giác góc C của tam giác. Gọi E là điểm nằm trong mặt phẳng và thỏa mãn D là tâm đường tròn nội tiếp tam giác CME. Chứng minh rằng, trong các tỉ số , , MC CE EM CE EM MC , có đúng một tỉ số không đổi. 4 Bài 5. Cho tam giác ABC nhọn không cân và 1 2 3 , ,AH BH CH là các đường cao của tam giác. Đường tròn nội tiếp tam giác này tiếp xúc với các cạnh BC, CA, AB lần lượt tại 1 2 3 , ,T T T . Với 1, 2,3k = , xét các điểm i P nằm trên đường thẳng 1i i H H + (quy ước 4 1 H Hº ) và thỏa mãn tam giác i i i H PT nhọn và cân tại i H . Chứng minh rằng đường tròn ngoại tiếp của các tam giác 1 1 2 2 2 3 3 3 1 , ,T PT T PT T PT cùng đi qua trực tâm của tam giác 1 2 3 TT T . 5 Bài 6. Cho tam giác ABC nội tiếp đường tròn (O). Gọi P, Q lần lượt là hai điểm bất kì trên các cạnh AB, AC. Gọi X là giao điểm của (O) với (APQ) và Y là điểm đối xứng với X qua PQ. Chứng minh rằng nếu PX PB> thì XPQ YBC S S> . 6