Ex1. Choose the best answers 1. John tennis once or twice a week.

A. is playing usually B. is usually playing C. usually plays D. plays usually

2. Tom his hand when he was cooking dinner. A. burnt B. was burning C. has burnt D. had burnt

3. Jim is away on holiday. He to Spain. A. is gone B. have been C. has been D. was

4. Everything is going well. We any problems so far. A. didn't have B. don't have C. haven't had D. hadn't had

5. Jane just a few minutes ago. A. left B. has left C. leaves D. had left

6. Timson 13 films and I think the latest is the best. A. made B. had made C. has made D. was making

7. Robert lately? A. Did you see B. Have you seen C. Do you see D. Are you seeing

8. When I was a child, I the violin. A. was playing B. am playing C. played D. play

9. He for the national team in 65 matches so far. A. has played B. has been played C. played D. is playing

10. I'm busy at the moment. I on the computer. A. work B. worked C. am working D. working

11.When I looked round the door, the baby quietly. A. is sleeping B. slept C. was sleeping D. were sleeping

12. Robert ill for three weeks. He is still in hospital. A. had been B. has been C. is D. was

13. I'm very tired. I over four hundred miles today. A. drive B. am driving C. have drived D. have driven

14. What time to work this morning? A. did you get B. are you getting C. have you got D. do you get

15. When I this man, he was running away A. see B. was seeing C. saw D. had seen

16. As soon as Martina saw the fire, she the fire department. A. was telephoning B. telephoned C. had telephoned D. has telephoned

17. Every time Parkas sees a movie made in India, he homesick. A. will have left B. felt C. feels D. is feeling

18. After the race , the celebration began. A. had been won B. is won C. will be won D. has been won

19. The earth on the sun for its heat and light. A. is depended B. depends C. is depending D. has depended

20. When I entered the room, everyone A. has been dancing B. was dancing C. had danced D. danced

21. I was very tired because I all the day. A. have worked B. have been working C. had worked D. had been working

22. How long able to drive? - Since 1990. A. could you B. have you been C. were you D. are you

23. When she the noise, she down to the kitchen and on the lights. A. hears; goes; turns B. heard; went; turned C. heard; was going; turned D. had heard; went; had turned

24. Jane and I school in 1987. A. finish B. have finished C. finishes D. finished

25. Pasteur in the 19th century. A. was living B. lived C. had lived D. has lived

26. When he came, A. I was watching TV. B. I watched TV. C. I am watching TV D. I have watched TV.

27.Everyday, my sister the floor. A. usually clean B. cleans usually C. usually cleaned D. usually cleans

28. After they their breakfast, they shopping yesterday. A. have; go B. had had; go C. had; had gone D. had had; went

29. Father his pipe while mother a magazine. A. smoked; read B. was smoking; was reading C. had smoked; read D. smoking; reading

30. When we came to the stadium, the match A. already begins. B. had already begun. C. already began. D. 

help me

Ex1. Choose the best answers 1. John tennis once or twice a week. A. is playing usually B. is usually playing C. usually plays D. plays usually 2. Tom his hand when he was cooking dinner. A. burnt B. was burning C. has burnt D. had burnt 3. Jim is away on holiday. He to Spain. A. is gone B. have been C. has been D. was 4. Everything is going well. We any problems so far. A. didn't have B. don't have C. haven't had D. hadn't had 5. Jane just a few minutes ago. A. left B. has left C. leaves D. had left 6. Timson 13 films and I think the latest is the best. A. made B. had made C. has made D. was making 7. Robert lately? A. Did you see B. Have you seen C. Do you see D. Are you seeing 8. When I was a child, I the violin. A. was playing B. am playing C. played D. play 9. He for the national team in 65 matches so far. A. has played B. has been played C. played D. is playing 10. I'm busy at the moment. I on the computer. A. work B. worked C. am working D. working 11.When I looked round the door, the baby quietly. A. is sleeping B. slept C. was sleeping D. were sleeping 12. Robert ill for three weeks. He is still in hospital. A. had been B. has been C. is D. was 13. I'm very tired. I over four hundred miles today. A. drive B. am driving C. have drived D. have driven 14. What time to work this morning? A. did you get B. are you getting C. have you got D. do you get 15. When I this man, he was running away A. see B. was seeing C. saw D. had seen 16. As soon as Martina saw the fire, she the fire department. A. was telephoning B. telephoned C. had telephoned D. has telephoned 17. Every time Parkas sees a movie made in India, he homesick. A. will have left B. felt C. feels D. is feeling 18. After the race , the celebration began. A. had been won B. is won C. will be won D. has been won 19. The earth on the sun for its heat and light. A. is depended B. depends C. is depending D. has depended 20. When I entered the room, everyone A. has been dancing B. was dancing C. had danced D. danced 21. I was very tired because I all the day. A. have worked B. have been working C. had worked D. had been working 22. How long able to drive? - Since 1990. A. could you B. have you been C. were you D. are you 23. When she the noise, she down to the kitchen and on the lights. A. hears; goes; turns B. heard; went; turned C. heard; was going; turned D. had heard; went; had turned 24. Jane and I school in 1987. A. finish B. have finished C. finishes D. finished 25. Pasteur in the 19th century. A. was living B. lived C. had lived D. has lived 26. When he came, A. I was watching TV. B. I watched TV. C. I am watching TV D. I have watched TV. 27.Everyday, my sister the floor. A. usually clean B. cleans usually C. usually cleaned D. usually cleans 28. After they their breakfast, they shopping yesterday. A. have; go B. had had; go C. had; had gone D. had had; went 29. Father his pipe while mother a magazine. A. smoked; read B. was smoking; was reading C. had smoked; read D. smoking; reading 30. When we came to the stadium, the match A. already begins. B. had already begun. C. already began. D. have already begun. Exercise 2: Fill in the correct verb tense 1. My brother (join) the army when he (be) young. 2. He (lose) his job last month and since then he (be) out of work. 3. They think he (be) here last night. 4. Lien (not go) to the movie theater tomorrow. She (stay) at home and watch TV. 5. The film (end) by the time we (get) there. 6. After I (finish) all my homework, he (invite) me a drink. 7. They (go) home after they (finish) their work. 8. At 5 a.m yesterday, I (iron) my clothes. 9. My grandfather (die) many years ago. 10. They (tell) me about it last week. 11. My mother (come) to stay with us next weekend. 12. I (walk) along the beach while my sister (swim) 13. After the telephone (buzz) for a minute, the doctor (answer) it. 14. At 5 p.m yesterday, I (watch) TV. 15. Thu (look) after her little brother next Sunday.

A=\(\dfrac{3+2\sqrt{3}}{\sqrt{3}}\)-\(\dfrac{1}{\sqrt{3}-\sqrt{2}}\)+\(\dfrac{2+\sqrt{2}}{\sqrt{2}+1}\)

B=\(\dfrac{\sqrt{x}}{\sqrt{x}+3}\)+\(\dfrac{2\sqrt{x}}{\sqrt{x}-3}\)-\(\dfrac{3x+9}{x-9}\)với x≥0;x≠9

a. Rút gọn biểu thức A và B

b. Tìm x để một phần ba giá trị của A bằng giá trị của biểu thức B

a)Cho x,y,z là ba số dương thỏa mãn x+y+z=3.Chứng minh rằng :

\(\dfrac{x}{x+\sqrt{3x+yz}}\)+\(\dfrac{y}{y+\sqrt{3y+zx}}\)+\(\dfrac{z}{z+\sqrt{3z+xy}}\)≤1

b)Chứng minh rằng: \(\dfrac{a+b+c}{\sqrt{a\left(a+3b\right)}+\sqrt{b\left(b+3c\right)}+\sqrt{c\left(c+3a\right)}}\)≥\(\dfrac{1}{2}\)với a,b,c là các số dương

Cho tam giác DEF, biết de=6cm ,df=8cm, ef=10cm.

a)Cm tam giác def là tam giác vuông

b)Vẽ đường cao dk.tính dk,fk

c)giải tam giác vuông edk

d)Vẽ phân giác dm.tính các độ dài me,mf.

e)tính sinF trong 2 tam giác vuông dfk và def.Từ dó suy ra ed.df=dk.ef

(kết quả về góc làm trọn đén phút,về canhjk làm tròn đến chữ số thập phân thứ 3)

a) Cho (x+\(\sqrt{x^2+2011}\)).(y+\(\sqrt{y^2+2011}\))=2011.Tính x+y

b) Với a,b,c là các số dương thỏa mãn điều kiện a+b+c=2 .Tìm giá trị lớn nhất của biểu thức Q=\(\sqrt{2a+bc}+\sqrt{2b+ca}+\sqrt{2c+ab}\)

Cho biểu thức M=(\(\dfrac{\sqrt{x}+1}{\sqrt{x}-1}\) -\(\dfrac{\sqrt{x}-1}{\sqrt{x}+1}\)):\(\dfrac{x}{x-\sqrt{x}}\)               

( với x>0 và x≠ 1)

a)Rút gọn biểu thức M   

b)Tìm giá trị của x sao cho M> 1