1.1        Cho DABC vuông tại A, đường cao AH. Đường thẳng vuông góc với AC tại C cắt tia AH tại D.

a)   Chứng minh: BC.CH = AD.AH = AB.CD.

b)  Chứng minh:S tam giác ABC =S tam giác CAD .tan ^2 ACB

c)   Kẻ HE ^ AB tại E. Chứng minh BE = BC.cos³B.

d)  Chứng minh: .EH= (AB^2 . AC )/BC^2 

e)   Gọi F là hình chiếu của H lên AC. C/m:S BEFC =S tam giác ABC . (1-tan^2 ACE)

f)    Biết AB/ AC = 3/4   và AH = 12 cm. Tính AB, AC, BH, KH.

1.1        Cho DABC vuông tại A, đường cao AH.

a)   Biết 3AB = 2AC. Tính sin ACB  , tan ACB  .

b)  Vẽ đường phân giác CK của DAHC. Biết AH = 2,4 cm; BH = 1,8 cm. Tính CH, AC, CK, cos HCK.

c)   Lấy M Î BC. Kẻ ME ^ AB tại E và MF ^ AC tại F. Chứng minh MB.MC = EA.EB + FE.FC

1.78

        Cho DABC có đường cao AH. Từ H vẽ HM ^ AB tại M, HN ^ AC tại N. Biết HA = 15cm, HC = 36cm, BC = 56cm.

a)   Tính AB, AC.                                      

b)  Chứng minh: AB.AM = AC.AN và DABC # DANM.

c)   Chứng minh: AB.AM = AC.BN 

d)  Chứng minh: DABN # DACM.     

Fill in the gaps with the infinitive form or the -ing form of the verbs in brackets.
Điền vào chỗ trống dạng "to-V" hoặc "V-ing" của động từ trong ngoặc.

1. We are planning  the first programme on this new channel next spring. (show)

2. We managed  an apartment to rent. (find)

3. Have they finished  our house? (paint)

4. We agreed  at the Highland café. (meet)

5. Why did you choose  at home? (stay)

6. Are they planning  the house? (rebuild)

7. You should avoid  too many sweet things. (eat)

8. I heard their story because I just pretended  asleep. (be)

Choose the correct answer to complete the sentences.
Chọn đáp án đúng để hoàn thành câu.

1. When will you begin ...... for a new job?

A. to look    B. looking   C. looking/ to look

2. She always tried ...... calm in any circumstances.

A. keep    B. to keep   C. keeping

3. Wait a minute! Mary hasn’t finished ...... the house.

A. clean    B. to clean   C. cleaning

4. Remember ...... milk on the way home.

A. buy    B. to buy   C. buying

5. It started ...... when we were about to come home.

A. rain    B. to rain/raining    C. to raining

6. I’ll never forget ...... my boss for the first time.

A. see    B. to see   C. seeing

7. Please stop ...... in class.

A. talking    B. to talk   C. talk

8. Do you remember ...... to Niagara Falls when we visited America?

A. to go    B. going    C. went

Điền vào chỗ trống dạng "to-V" hoặc "V-ing" của động từ trong ngoặc.

1. We are planning  the first programme on this new channel next spring. (show)

2. We managed  an apartment to rent. (find)

3. Have they finished  our house? (paint)

4. We agreed  at the Highland café. (meet)

5. Why did you choose  at home? (stay)

6. Are they planning  the house? (rebuild)

7. You should avoid  too many sweet things. (eat)

8. I heard their story because I just pretended  asleep. (be)

Listen to Lucy and Mark talking about their plans for summer job. Fill in the missing information in the spaces. You will hear the recording twice.

(Hãy nghe Lucy và Mark nói về kế hoạch của họ cho công việc mùa hè. Hãy điền thông tin còn thiếu vào chỗ trống. Bạn sẽ được nghe hai lần.)

Lucy:So, what are you going to do this summer?

Mark:Well, I'm probably going to go on vacation with my family for a week, but I think that I should get a summer job because I need to get some money. Actually, I haven't decided yet. What about you?

Lucy:I'm going to Thailand for the summer. I'm going to work as a (1)  in a Thai restaurant for 2 months.

Mark:Really? That sounds great! Is it a (2)  job?

Lucy:Yes. Actually, the work won't be very interesting. It'll be mostly taking orders, serving food and drinks and dealing with bill (3)  . My manager is so generous to (4)  me $800/ month.

Mark:Great! I wish I could get a job with such a high (5)  like that. It'll be like a holiday, but you'll be earning money too.

Lucy:Yes, it's a chance to go abroad and maybe meet some new people. I think that I won't be under job (6)  because my hours are 5 hours per day, so I'll have plenty of time during the day to go walking.

Mark:How did you find out about it?

Lucy:I read about it in a book called Summer Work Abroad. It tells you about all kinds of different jobs in different places. You can work as a (7)  in Bangkok. They need people who can speak English well.

Mark:Oh! I like the sound of that!

Lucy:Yes, of course the problem with that sort of work is that it is a (8)  job so you're paid hourly. And If you like it, you should (9)  now.

Mark:Oh! I haven't decided yet.

Lucy:You know within just 2 days, we have received more than 200 (10)  .

Mark:OK. Anyway, it's worth a try. Thank you, Lucy.

7. He did not follow the career path in art although his parents are all artists.
→ Despite  who are all artists, he did not follow the career path in art.

8. I would move to Ho Chi Minh city if I got a job offer although it is far from my family.
→ I would move to Ho Chi Minh city if I got a job offer, despite  from my family.

9. Although I am an IT programmer, I don’t know how to install windows on my PC.
→ In spite of  programmer, I don’t know how to install windows on my PC.

10. Even though it was raining heavily, the outdoor party still went well.
→ Despite , the outdoor party still went well.

7. He did not follow the career path in art although his parents are all artists.
→ Despite  who are all artists, he did not follow the career path in art.

8. I would move to Ho Chi Minh city if I got a job offer although it is far from my family.
→ I would move to Ho Chi Minh city if I got a job offer, despite  from my family.