Câu 4: Cho tam giác ABC có trọng tâm là G. Gọi I là điểm đối xứng với B qua G, M là trung điểm của BC.

Phân tích vecto CI theo vecto AB và vecto AC.

Câu 4: Cho 2 số dương a, b . Chứng minh rằng: \(\left(a+b\right)\left(ab+1\right)\ge4ab\)

Phản ứng có 2 chất thay đổi số oxi hóa ( dạng cơ bản)

Cân bằng các PTPU sau:

1. \(NH_3+O_2\rightarrow NO+H_2O\)

2.\(CO+Fe_2O_3\rightarrow Fe+CO_2\)

3. \(Cu+H_2SO_4\rightarrow CuSO_4+SO_2+H_2O\)

4. \(Fe+HNO_3\rightarrow Fe\left(NO_3\right)_3+NO+H_2O\)

5. \(Al+HNO_3\rightarrow Al\left(NO_3\right)_3+N_2O+H_2O\)

6. \(Zn+H_2SO_4\rightarrow ZnSO_4+H_2S+H_2O\)

7. \(Mg+HNO_3\rightarrow Mg\left(NO_3\right)_2+NH_4NO_3+H_2O\)

8. \(KMnO_4+K_2SO_3+H_2O\rightarrow K_2SO_4+MnO_2+KOH\)

9.\(KMnO_4+FeSO_4+H_2SO_4\rightarrow Fe_2\left(SO_4\right)_3+MnSO_4+K_2SO_4+H_2O\)

10.\(Fe+H_2SO_4\rightarrow Fe_2\left(SO_4\right)_3+H_2S+H_2O\)

11.\(FeCl_3+Cu\rightarrow FeCl_2+CuCl_2\)

Exercise 2: Combine these sentences using: though, although, even though

1. Lion dancing is very popular in Viet Nam. My friend Anny does not enjoy it.

=> _{..................................................................................................................................}

2. Bob always walks to work. He is living in the city.

=> _{........................................................................................................................................}

3. My house is near the beach. I rarely go swimming.

=> _{....................................................................................................................................}

4. My brother is working in Ha Noi. He comes home on every public holiday.

=> _{.......................................................................................................................................}

5. Paul is an Australian, he enjoys Vietnamese New year.

=> _{....................................................................................................................................}

6 Most children go to see the firework show, Linh and Mai stay home watching TV.

=> _{.......................................................................................................................................}

7. Nick used to smoke. He seems to be in good health.

=> _{..................................................................................................................................}

8. I couldn’t sleep. I was tired.

=> _{....................................................................................................................................}

9. Henry’s friend is a millionaire. He hates spending money.

=> _{...............................................................................................................................}

10. We couldn’t get tickets. We queued for an hour.

=> _{..................................................................................................................................}

Exercise 3: Rewrite the sentences, beginning with the words in parentheses

1. She has plenty of money, but she is very mean. (although)

=> _{..........................................................................................................................................................}

2. They have a car, but they rarely use it. (though)

=> _{...........................................................................................................................}

3. He was innocent, but he was sent to prison. (although)

=> _{..................................................................................................................................................................}

4. He has a number of relatives living nearby, but he never visits them (even though)

=> _{.....................................................................................}

5. She never takes any kind of exercise, but she is quite fit and healthy. (even though)

=> _{...............................................................................................................................................................}

6.The keyboard wasn’t working well. She tried to finish the letter (although)

=> _{.................................................................................................}

7.The forecast said it would rain. It turned out to be a beautiful day. (although)

=> _{............................................................................................................................................................}

9. The traffic was bad. I arrived at the airport on time. (though)

=> _{......................................................................................................................................................................}

10. I didn’t get the job. I had all necessary qualifications. (though)

=> _{......................................................................}

11. We enjoyed the vacation. It rained a lot. (although)

=> _{................................................................................................................}

12. She felt sick. She went to work. (though)

=> _{.........................................................}

14. He is very rich. He isn’t happy. (although)

=> _{...........................................................................................................................................}

15. She couldn’t answer the question. She is very intelligent. (though)

=> _{...................................................................................................................................................................}

16. He tried. He was not successful. (though)

=> _{...........................................................................................................................................................}

17. His life is hard. He determined to study well. (although)

=> _{......................................................................................................................................................................}

18. He was wise and experienced. He was not taken in. (though)

=> _{........................................................................................................................}

1. Although he has a very important job, he isn’t particularly well-paid.

=>In spite of _{..................................................................................................................}

2. Although I had never seen her before, I recognized her from a photograph.

=> Despite _{...............................................}

3. She wasn’t wearing the coat although it was quite cold.

=>In spite of _{.................................................................................................................}

4. We thought we’d better invite them to the party although we don’t like them very much.

=> Despite _{..........................................................................................................................}

5. Although I didn’t speak the language, I managed to make myself understand.

=>In spite of _{.................................................................................................................}

6. Although the heat was on, the room wasn’t warm.

=> Despite _{....................................................................................................................}

7. I didn’t recognize her although I’d met her twice before.

=>In spite of _{.................................................................................................................}

8. We’re not very good friends although we’ve known each other a long time.

=> Despite _{......................................................................................................................}

9. Although Minh was ill, he still came to the meeting.

=>In spite of _{.................................................................................................................}

10. Although he promised that he wouldn’t be late, he didn’t arrive until 9 o’clock.

=> Despite _{.......................................................................................................................}

6. Although the salary was low, he accepted the job.

=> Despite _{......................................................................................................................}

7. In spite of their quarrel, they remain the best of friends.

=> Though _{......................................................................................................................}

8. In spite of the bad weather, they went out for dinner.

=> Although _{.................................................................................................................}

9. In spite of his age, he still leads an active life.

=> Even though _{...............................................................................................................................................................................................................................................................................}

10. In spite of his hard work, Ba he failed his exam.

=> Though _{.....................................................................................................................}

11. In spite of the heavy rain, we decided to go to see the match.

=> Although _{..................................................................................................................}

12. Although they lost, the home team played very well.

=> Despite _{....................................................................................................................}

13. Even though it was raining, I still went to school on time.

=>In spite of ..................................................................

14. Although she isn’t brilliant, she studies quite well.

=> Despite _{.....................................................................................................................}

15. She isn’t brilliant but she studies quite well.

=> Although _{...................................................................................................................}

16. The house isn’t nice, but I like the garden.

=> Even though _{..........................................................................................................}

17. It was raining, but we went out.

=> Though _{.....................................................................................................................}

18. Everyone likes Bob even though he talkative.

=> Even though _{...............................................................................................................................................................................................................................................................................}

19. Though I had an umbrella, I got very wet in the rain.

=> Though _{.....................................................................................................................}

20. We enjoyed the vacation although it rained a lot.

=> In spite of _{..............................................................................................................}

21. I couldn’t sleep though I was very tired.

=> Much _{.........................................................................................................................}

22. I didn’t get the job even though I was extremely qualified.

=> Despite .....................................................................................

1. ___________ she was very hard working, she hardly earned enough to support her family.

a. In spite of b. Because c. Because of d. Although

2. ___________ her absence from the school yesterday, she couldn’t understand the lesson.

a. Despite b. Because c, because of d, of

3. ___________ his lack of time, he watches football every night.

a. Although b. Because of c. In spite of d. Because

4. Alan always overeats at lunch ____________ he never eats breakfast.

a. because b. because of c. Even though d. in spite of

5. __________ I told the absolaute truth, no one would believe me.

a. Even though b. In spite of c. Since d. As

6. The goods was never delivered ___________ the promise we had received.

a. since b. as c. because d. in spite of

7. ____________ the meeting’s at 2:00, I won’t be able to see you.

a. Although b. In spite of c. Because d. Because of

8. My mother is always complaining __________ the untidiness of my room.

a. because b. because of c. since d. as

9. I didn’t get the job ____________ I had all the necessary qualifications

a. because b. because of c. although d. despite

10. It’s unsafe to travel in that country __________ the civil war.

a. in spite of b. despite c. due to d. a & b are correct

11. Many people don’t want to live in big cities ________ big cities are often heavily polluted

a. but b. because c. and d. though

12. __________ she heard the door bell ring, she did not answer it.

a. However b. Because c. Even though d. As if

13. Despite the storm, the climbers decided to go on

a. In spite of it was storm b. Although there was a storm

c. Because ut stormed d. Due to it storms

14. He stopped working because he was too tired

a. because of his tiredness b. since being tired

c. for tired d. although his tiredness

1. Because the sea was rough, the ferry couldn’t sail.

à Because of____________________________

2. In spite of being full water, the boat sailed on

à Although_______________________________

3. There were a lot of accidents because of the icy roads

à Because ___________________________________

4. Although he had a good salary, he was unhappy in life.

à Despite_____________________________________

5. Despite losing her way tiwe, she arrived safely

à Though_____________________________________

1. _______ he likes chocolate, he tries not to eat it.

A. As B .Though C. Since D. Despite

2. He is a very intelligent boy, _______he is very lazy

A. but B. and C. or D. so

3. _______I moved house, I haven’t had much contact with those friends

A. though B. since C. because of D. so that

4. Last night we came to the show late _______the traffic was terrible.

A. although B. despite C. and D. because

5. Lan couldn’t pass the exam_______she was too lazy.

A. because B. because of C. although D. in spite of

6. _______ his broken leg, he didn’t come to class yesterday.

A. because B. because of C. despite D. so

7. _______there is a lot of noise in the city, I prefer living there.

A. despite B. in spite of C. becacuse of D. though

8. _______ the weather, we went sailing.

A. despite B. in spite of C. although D. A and B

9. _______Hudson led early, he lost the race.

A. though B. although C. eventhough D. all are correct

17. _____it was raining heavily he went out without a raincoat.

A. In spite B. In spite of C. However D. Although

18. _____he wasn’t feeling very well; Mr Graham went to visit his aunt as usual.

A. Although B. However C. Therefore D. Still

19. He was offered the job______his qualifications were poor.

A. despite B. in spite of C. even though D. Whereas

19. ______ we were in town, we often met him.

A. For B. Although C. So D. When

20. She didn’t get the job ____ she had all the necessary qualifications.

A. because B. although C. so D. but

21. I could not eat ____ I was very hungry.

A. even though B. in spite C. despite D. in spite the fact that

22. In pite _____, the baseball game was not cancelled.

A. the rain B. of the rain C. it was raining D. there was a rain

23. ______ he had enough money, he refused to buy a new car.

A. In spite B. In spite of C. Despite D. Although

24. ______, he walked to the station.

A. Despite being tired B. Although to be tired

C. In spite being tired D. Despite tired

25. The children slept well, despite _____.

A. it was noise B. the noise C. of the noise D. noisy

26. She left him __________ she still loved him.

A. even if B. even though C. in spite of D. despite

27. _______ her lack of hard work, she was promoted.

A. In spite B. Even though C. in spite of D. despite of

28. _______ they are brothers, they do not look like.

A. Although B. Even C. Despite D. In spite of

29. We are concerned with the problem of energy resouces ________ we must also think of our environment.

A. despite B. though C. as though D. but

30. ______ some Japanese women are successful in business, the majority of Japanese companies are run by men.

A. But B. Even if C. If D. As though

1. Mary tried to keep calm although she was very disappointed.

à Despite ________________________________________

2. Even though it was raining heavily, the explorers decided to continue their journey.

à In spite of ________________________________________

3. Despite his ability to do the job, he was not offered the position.

à Although ________________________________________

5. Although Tom was a poor student, he studied very well.
à In spite of ________________________________________
6. Although he often tells lies, the headmaster believes him.

à In spite of ________________________________________
9. Although there was a big storm, they decided to leave home.
à In spite of ________________________________________
10. Tom was admitted to the university although his grades were bad.
à Despite ________________________________________
11. Although she has a physical handicap, she has become a successful woman.
à Despite ________________________________________

12. In spite of his good salary, Tom gave up his job.
à Although ________________________________________
13. Though he had not finished the paper, he went to sleep.
à In spite of ________________________________________
14. In spite of the high prices, my daughter insists on going to the movies.
à Even though ________________________________________

15. In spite of her dislike for coffee, she drank it to keep herself warm.

à Although ________________________________________

16. He couldn’t earn enough money for living although he worked hard.

à Despite ________________________________________

17. Although Jane wrote for the tickets, she still had to stand in line.

à In spite of ________________________________________

18. We get a good room though we didn’t phone the hotel.

à Despite ________________________________________

19. She was admitted to the university in spite of her low grades.

à Although ________________________________________

20. Despite the terrible food, he still eats in that restaurant.

à Although ________________________________________

21. We did the test well though it was difficult.

à In spite of ________________________________________

22. The flight was not delayed though it was foggy.

à Despite ________________________________________

23. He ate all the fruits though they were green.

à Whatever ________________________________________

24. Although he is talented, no one likes him.

à In spite of ________________________________________

25. He studied very well though his life was hard at that time.

à In spite of ________________________________________

26. He ate the chocolate cake even though he was on diet.

à Despite ________________________________________

27. Mr. Pike doesn’t wear glasses though he is over sixty.

à In spite of ________________________________________

28. Although it rain heavily, I went to school on time.

à Despite ________________________________________

1. ________ having the best qualifications among all the applicants, Justin was not offered the job.

A. Although B. While C. In spite of D. Despite of

2. ________ the internet is very popular, many older people do not know how to use it.

A. However B. Nevertheless C. Even though D. Despite

3. _________ he wasn’t feeling very well, David was determined to take part in the inter-university athletics meet.

A. Although B. While C. Where as D. yet

4. __________ what Megan prepared for the job interview, she didn’t pass it.

A. Despite of B. In spite of C. Though D. However

5. Bruce was not praised_________ he was a hard worker.

A. despite B. in spite of C. although D. no matter how

6. It looks like they are going to succeed_________ their present difficulties.

A. despite B. although C. in spite D. even though

7. Mary usually goes to parties. She likes meeting people and crowded places ________she is rather shy.

A. In spite of B. Even though C. On the contrary D. In other words

8. Ann: Have you decided to get the job?

Terry: Yes, I’ve just decided. I’ll accept that job_________ it is not suitable with my major. It is not an interesting job, ________ the salary is very good.

A. although / but B. despite / and C. but / though D. yet / however

9. ________, he has continued to work on his thesis.

A. Although all these problems B. Even though there are problems

C. Despite of all these problems D. In spite of there are problems

10. In spite of ____________, he was determined to finish his work.

A. was seriously ill. B. be seriously ill C. his serious illness D. he was seriously ill

11. _______ some German and British management styles are similar, there are many differences between them.

A. In spite B. In spite of C. although D. Despite

12. I could not eat _______ I was very hungry.

A. even though B. in spite C. despite D. despite of

13. In spite _______, the baseball game was not cancelled.

A. the rain B. of the rain B. it was raining D. there was a rain

14. _______ he had enough money, he refused to buy a new car.

A. In spite B. In spite of C. Despite D. Although

15. _______, he walked to the station.

A. Despite being tired B. Although to be tired

C. In spite being tired D. Despite tired

16. The children slept well despite _______.

A. it was noise B. the noise C. of the noise D. noisy

17. She left him _______ she still loved him.

A. even if B. even though C. in spite of D. despite

18. _______ her lack of hard work, she was promoted.

A. In spite B. Even though C. In spite of D. Despite of

19. _______ they are brothers, they do not look alike.

A. Although B. Even C. Despite D. In spite of

20. Our new neighbors are quite nice _______ they are sometimes talkative.

A. despite B. in spite of C. though D. as though

21. _______ of the difficulty, they managed to climb to the top of the mountain.

A. In spite B. Despite C. But D. Although

22. _____________, he could not finish the job.

A. As hard as he work B. Despite he worked hard

C. Though he worked hard D. Although hard work

23. He went to work _____________ his headache.

A. despite B. although C. because D. because of

24. Despite the fact that _______, we enjoyed our trip.

A. the weather is bad B. it is a bad weather

C. the bad weather D. the weather was bad

25. Julie failed the exam _______ of working very hard.

A. despite B. in spite C. even if D. though

26. Tom went to work despite _______.

A. that he did not feel very well B. of the fact not feeling well

C. he did not feel very well D. not feeling very well

27. Though _______, they are good friends.

A. their sometimes quarrel B. to have a quarrel sometimes

C. they sometimes have a quarrel D. of having a quarrel sometimes

28. Despite _______, we arrived on time.

A. the traffic B. of the traffic

C. there was heavy traffic D. of there was heavy traffic

29. ___________it was very cold, she did not put on her coat.

A. In case B. But C. Even if D. Although

30. __________ rain or snow, there are always more than fifty thousand fans at the football games.

A. Despite B. Although C. Despite of D. Although

31. __________it was so cold, he went out without an overcoat.

A. If B. Since C. Although D. Because

32. We understood him __________ he spoke very fast.

A. because of B. though C. in spite of D. despite

33. _________ all my warnings, he tried to fix the computer himself.

A. Because B. Because of C. Although D. In spite of

34. Hans finished school __________ his leg injury.

A. because of B. despite C. though D. because

35. I try to do my homework ___________ the noise

A. because of B. although C. despite of D. in spite of

36. ___________ it rained heavily, we enjoyed our holiday.

A. Because of B. Because C. Despite D. Though

37. ___________ having little money, they are happy.

A. Despite B. Because of C. Although D. Because

38. ____________ she was not well, she still went to work.

A. Because B. Because of C. Although D. In spite of

39. We are going to have a picnic _____________ the bad weather.

A. because B. despite C. although D. because of

40. __________ his physical handicap, he has become a successful businessman.

A. Because of B. Because C. Though D. Despite

41. Although the sun was shining, __________.

A. it wasn’t very hot B. it was very hot C. yet it was very hot D. but it was very hot

42. Nowadays, the divorce rate is higher than it used to be________ young people are allowed to decide on their marriage.

A. despite B. but C. even though D. in spite of

43. _________ his poor health, Mr. Brown still works hard to support his family.

A. Despite of B. Despite C. Although D. Because of

44. I gave up the job ________ the attractive salary.

A. because B. because of C. although D. despite

45. _________ my father is old, he still goes jogging.

A. Although B. Because C. So that D. Despite