Bài 4: (6,0 điểm)
Cho tam giác ABC có ba góc nhọn (AB < AC). Vẽ về phía ngoài tam giác ABC các tam
giác đều ABD và ACE. Gọi I là giao của CD và BE, K là giao của AB và DC.
a) Chứng minh rằng: ∆ADC = ∆ABE và DIB  = 600.
b) Gọi M và N lần lượt là trung điểm của CD và BE. Chứng minh: ∆AMN đều.
c) Chứng minh rằng: IA là phân giác của góc DIE.
 

1.          The (BORED)                      of afternoon duty could be relieved by friendly conversation

2.          You looked so (PEACE)                  when you fell asleep on the sofa.

3.          All four of my grandparents are still (LIVE)                    .

4.          Did you vote in the last (ELECT)               ?

5.          It can be very difficult for (PRISION)                    when they leave prison and go back into the community

6.          At the end of the film, you hear a single (SHOOT)                    and then A1 Pacino falls to the ground

7.          It’s (BELIEVE)                         ! I’ve lost my glasses again!

8.          I think we’re all in (AGREE)               that something must be done about the problem.

9.          Should I write “British” or “English” as my (NATION)                   ?

10.       We’ll only have real (EQUAL)                    when women earn as much money as men.

11.       She’s beautiful with a (LOVE)                    smile.

12.       (LUCK)                     , the barber cut my hair too short.

13.       Each of my friends has a (DIFFER)                     character.

14.       Nam is very (SOCIAL)                   , kind and generous.

15.       My uncle often spends his free time doing volunteer work at a local (ORPHAN)

                      .

16.       She has short (CURL)                    hair.

17.       Trung and his brother like (ACT)                movies very much.

18.       Bell experimented with ways of transmitting (SPEAK)               over a long distance.

19.       Bell (SUCCESS)                  demonstrated his invention.

20.       Mr Phong made an (ARRANGE)                         to see us at two o’clock.

21.       Thomas Watson was Bell’s (ASSIST)                     , wasn’t he?

22.       There wasn’t any (ELECTRIC)                   in our village two years ago.

23.       “The lost shoe” is one of the (TRADITION)                     stories I like best.

24.       Everyone was (EXCITE)                 at the soccer match.

25.       The noise in the city kept Hoa (WAKE)                at night.

26.       Mr. Tan has a very (PAIN)              tooth.

27.       He (HOT)                   a pan and stir-fried the beef.

28.       Sugar is not an (HEALTH)                         food because we need it to live.

29.       Catching the common cold is (PLEASE)                        for everybody.

30.       Don't worry! Your cold will last for a few days and then (APPEAR) .

31.       I have (LITTLE)                    time to play than my friend.

32.       My sister has a big (COLLECT)                 of stamps.

33.       My favorite subject at school is physical (EDUCATE)               .

34.       What a (WONDER)                        picture!

35.       My friend and I write to each other (REGULAR)                       .

36.       Guitar is a (MUSIC)                        instrument.

37.       I have (LITTLE)                    time to play than my friends do.

38.       You should do morning exercises to have a (HEALTH) body.

39.       Where is the (NEAR)                      restaurant?

40.       There is an (EXCITE)                     football match this afternoon.

41.       There is no (DIFFER)                     between my answer and his.

42.       The (PERFORM)                 she gave last night was marvellous.

43.       There are many badminton (COMPETE)                       nowadays.

44.       Ba will be a (FAME)                        artist someday.

45.       Mr. Pike didn’t go to work yesterday because of his (ILL)                       .

46.       There are about 200 (EMPLOY)                in this company.

47.       This lovely apartment has two bedrooms and it is (FURNISH) .

48.       My father has a (PORT)                 computer. He often brings it with him when he’s away on business.

49.       They are (LOAD)                 the vegetables from the truck.

50.       Diana is a (FLOWER)                    . She sells flowers at a shop in New York.

51.       We must remember to eat (SENSE)                   .

52.       He didn’t win the championship, so he felt very (HOPE)                         .

53.       I'd like a nice (JUICE)                     orange.

54.       We are very proud of our (FRIEND)                    .

55.       Her aunt wants to know Lan’s (HIGH)                 .

56.       You mustn’t drive (CARE)                  on busy streets.

What an (AMAZE)   actor! He makes the mov

Cho tam giác ABC vuông tại A có AB = AC có D là trung điểm BC. Trên đoạn BD lấy E (khác B, D), trên tia đối của tia CB lấy điểm F sao cho BE = CF Kẻ các đường thẳng vuông góc với BC tại E cắt AB tại G, đường vuông góc với BC tại F cắt AC tại H. Gọi giao điểm của GH với BC là I (a) Chứng minh BG = CH IG = IH b) Kẻ đường thẳng vuông góc với CA tại C, cắt AD tại M. Chứng minh MI vuông góc với GH c) Đường thẳng vuông góc với DG tại D cắt AC tại K, chứng minh rằng: AK + AG <= DG + DK

Cho \(\Delta ABC\) có \(AB< AC\), \(D\) là trung điểm của \(BC\). Qua \(D\) vẽ đường trung trực của \(DC\) cắt tia phân giác của \(\widehat{BAC}\) tại \(K\). Kẻ \(KM\)\(\perp AB\) tại \(M\), \(KN\perp AC\) tại \(N\)

a, Chứng minh: \(BM=CN\)

b, Giả sử \(AB=6cm,AC=10cm\). Tính\(AM\)

c, Gọi \(I\) là trung điểm của \(AC\), \(BI\) cắt \(AD\) tại \(G\). Chứng minh \(AD+BI>9cm\).

Kẻ hình giúp 

WRITING 

1.Flying from VN to UK was so tiring for us.

We …………………………………………………………………..(tired)

2.      Liam has participated in many volunteer campaigns up to now.

Liam …………………………………………………………………(part)

3.      I really like listening to pop ballad songs.

I ……………………………………………………………………….(fond)

4.      Does this suitcase belong to you?

Is………………………………………………………………………..?

5.      I can’t do this test. It’s too difficult.

This test…………………………………………………………………(for)

6.      Watching this horror film made us feel terrified

It …………………………………………………………………………..(to)