Bài 1:

a) 4sin²3x + 2(\(\sqrt{3}\)+1) cos 3x - \(\sqrt{3}\)= 4

b) cos2x + 9cosx + 5 = 0

c) 4cos⁵(2 - 6x) + 16cos²(1 - 3x) =13

d)\(\frac{1}{cos^2x}-\left(3+\sqrt{3}\right)tanx-3+\sqrt{3}=0\)

e) \(\frac{3}{cosx}+tan^2x=9\)

f) 9 - 13cosx + \(\frac{4}{1+tan^2x}=0\)

g) \(\frac{1}{sin^2x}=cotx+3\)

h) \(\frac{1}{cos^2x}+3cot^2x=5\)

i) cos2x - 3cosx = 4cos²\(\frac{x}{2}\)

k) 2cos2x + tanx=\(\frac{4}{5}\)

26. It was not until he was that he knew how to swim.

→He

27. The football match didn't start until the lights were on.
→ It was not until

28. The film starts at 8.00 p.m (Đặt câu hỏi cho từ in đậm)

29. My favourite musician is Van Cao (Đặt câu hỏi cho từ in đậm)

30. We go to school every day. We want to get knowledge.
31. Nam learned new words by heart. He didn't want to get bad marks.
32. He saved money. He wanted to buy a new bike.

Chuyển sang câu bị động
1. The pupils must take their table into the room.

2. They have to repair the engine of the car.

3. They can't make tea with cold water.

4. A group of men have met friends at the station.

5. They did not allow Tom to take these books home.

6. The teacher won't correct exercises tomorrow.

7. This well-known library attracts many people.

8. The German didn't build this factory during the Second World War.

Dùng mệnh đề if

2. The reason why I didn't phone you was that I didn't know your phone number.
3. Peter very nervous and failed the driving test.

4. I can't tell you what time it is because I don't have a watch.

5. She didn't learn mathematics; that's why she was cheated by that salesman.

6. We missed the train because the clock wasn't right.

7. The dress is very expensive, so she can't buy it.
8. The teacher was very angry. His pupils did their homework carelessly 9. They have to go back to their company because they need to solve some urgent things

III. Give the correct verb form:

1. Two days ago I (put).......... an ad in the newspaper so that I could find a buyer for my old car. Yesterday 1(sell).....it. It (buy)........ by a teenager who (look)............ for an old car to fix up himself. Today a friend of mine told me that he wanted to buy my old car, but he was too late. By the time he talked to me, the car (sell already)......... to the teenager.

2. The wheel (invent)...... over 5,000 years ago. Throughout history, it (assist) ............ people in the making better use of oxen, horses and other animals in transporting goods.

3. Mark is a genius. By the time he graduated, he (offer).. . jobs by dozen computer companies.
4. Ever since it (build)........ three centuries ago, the Tag Mahan in Agra (describe, often)................ as the most beautiful building in the world. It (design) .......... by a Turkish architect, and it (take).............20,000 workers 20 years to complete it.

5. By the time Carol (arrive) ....., we had finished eating and were ready to go.

II. Change the following sentences into the active voice：

1. These artificial flowers are made of silk

2. No mistakes have been made in his composition

3. This dress must be washed in cold water

4. This house was built 100 years ago

5. The lessons are being written by the students now

B. PASSIVE VOICE：

I. Change the following sentences into the passive voice

1. They don't pay Jim very much

2. They didn't ask me the name

3. Nobody told me that George was ill

4. They are building a new ring-road round the city

5. Someone will serve refreshments

6. Why didn't they mend the roof before it fell in？

7. Students are doing a lot of the work

8. Has Tom finished the work？

9. A hurricane destroyed the small fishing village

10. The police have arrested three men.

I. Rewrite the sentences，beginning as shown：

1. They don't have enough time so they cannot do me a favour.

If . . .

2.I can't send you a postcard if you don't give me your address.

Unless . . .

3. He lost his savings because he wasn't careful.

If . . .

4. If he were not so lazy，he would be more successful.

Were . . .

5. If you had finished your work，you would have been awarded

Had . . .

6. Bill never does anything unless you tell him what to do.

If . . .

Câu 1: Xã hội phong kiến Châu Âu được hình thành như thế nào?

Câu 2: Nguyên nhân, kết quả của những cuộc phát kiến địa lí ?

Câu 3: Nêu những chính sách đối nội và đối ngoại của nhà Đường?

Câu 4: Những thành tựu lớn về văn hóa và khoa học kỹ thuật của người Trung Quốc
thời phong kiến?

Câu 5: So sánh sự hình thành và phát triển của xã hội phong kiến Phương Đông và
Phương Tây?

Câu 6: Tại sao lại xảy ra loạn 12 sứ quân?

Câu 7: Nhà Lý thành lập trong hoàn cảnh nào, vẽ sơ đồ tổ chức bộ máy thời Lý?

Câu 8: Em hãy trình bày về luật pháp và quân đội thời Lý?

Câu 9: Em hiểu như thế nào về chính sách “ngụ binh ư nông”?

Câu 10: Vì sao nhà Tống lại có âm mưu xâm lược nước ta?

Câu 11: Trình bày kết quả và ý nghĩa cuộc chiến đấu trên phòng tuyến Như Nguyệt?

Câu 12: Nêu cách đánh độc đáo của Lý Thường Kiệt?

Câu 13: Nêu ý nghĩa lịch sử và nguyên nhân thắng lợi của cuộc kháng chiến chống
quân xâm lược Mông – Nguyên (TK XIII)?

Câu 14: Nội dung cải cách của Hồ Quý Ly ? Tác dụng, ý nghĩa của cuộc cải cách đó?