Cho (O). dây BC cố định <2R. A chuyển động trên cung BC lớn,các đường cao AD,BE,CF của tam giác ABC gặp nhau tại H, N là đối xứng của H qua trung điểm M của BC.

a) EF cắt BC tại S, AH cắt EF tại G.c/m SF.GE=SE.GF

b) AF cắt (O) tại Q.c/m MQ vuông góc với AS

c) TÌm vị trí của A để S_ABC max và P_ABC max

Cho (O). dây BC cố định <2R. A chuyển động trên cung BC lớn,các đường cao AD,BE,CF của tam giác ABC gặp nhau tại H, N là đối xứng của H qua trung điểm M của BC.

a) Tìm các tg nội tiếp có trong hình

b) c/m AN là đường kính (đã c/m)

c) c/m tg BHCN là hbh (đã c/m)

d) c/m OA vuông góc với EF ( đã c/m)

e) c/m tam giác APQ cân (đã c/m)

g) EF cắt BC tại S, AH cắt EF tại G.c/m SF.GE=SE.GF

h) AF cắt (O) tại Q.c/m MQ vuông góc với AS

i) TÌm vị trí của A để S_ABC max và P_ABC max

IX. Read the following passage and mark the letter A, B, C or D to indicate the correct answer to each of the questions. GIẢI THÍCH GIÚP MÌNH VỚI Ạ 
I didn’t even notice him. It was a chilly November evening in New York City, and my daughter and I were walking up Broadway. I was thinking, “Milk, dry cleaners, home?” Was I supposed to notice a guy sitting inside a cardboard box next to newsstand? No, but Nora did she wasn’t even four, but she pulled at my coat sleeve and said. “That man’s cold, daddy. Can we take him home?”
I don’t remember my reply – probably something like. “That wouldn’t really be helping him”. Maybe I made her feel better by giving her an apple. I don’t know. But I do remember a sudden heavy feeling inside me. I had always been delighted at how much my daughter noticed in her world, whether it was birds in flight or children playing. But now she was noticing suffering and poverty.
A few days later, I saw an article in the newspaper about volunteers who delivered meals to elderly people. The volunteers went to a nearby school on a Sunday morning, picked up a food package, and delivered it to an elderly person. It was quick and easy. I signed us up. Nora was excited about it. She could understand the importance of food, so she could easily see how valuable our job was. When Sunday came, she was ready, but I had to push myself to leave the house. On the way to school, I fought an urge to turn back. The Sunday paper and my coffee were waiting at home. Why do this? Still, we picked up the package and phoned the elderly person we’d been assigned. She invited us right over. And that day Nora and I paid a visit to her depressing flat. After saying goodbye, I walked home in tears.
Professionals call such a visit a “volunteer opportunity”. Indeed, the poverty my daughter and I helped lessen that Sunday afternoon was not the old woman’s alone – it was in our lives, too. Nora and I regularly serve meals to needy people and collect clothes for the homeless. Yet, as I’ve watched her grow over these past four years, I still wonder – which of us has benefited more?
(Source: An article by Teddy Gross, Sesame Street Parents )
28. The word “depressing” in the passage is closest in meaning to ___________.
A. in poor condition B. in good condition C. big D. small
29. How did the writer feel after the visit to the elderly woman that Sunday?
A. He felt relaxed. B. He felt sorry for her. C. He felt happy. D. He felt disappointed.
30. Which of the following can be the best title of the passage?
A. A lesson in Caring B. Volunteer Opportunities

C. An International Voluntary Organisation D. A Beautiful Sunday
31. The phrase “delighted at” in the passage is closest in meaning to ___________.
A. very bored with. B. very pleased at C. very disappointed with D. very surprised at
32. Which of the following is true about Nora, the author’s daughter?
A. She was a naughty schoolgirl.                    B. She didn’t care for anyone around her.
C. She was no interested in doing charity.     D. She is over four years old now.

. Cho đường tròn (O; R) có dây BC cố định không đi qua O, điểm A thay đổi trên cung lớn BC sao cho tam giác ABC là tam giác nhọn. Hai đường cao BM, CN của tam giác ABC cắt nhau tại H.
1) Chứng minh: Tứ giác AMHN là tứ giác nội tiếp.

2 ) Vẽ đường kính AD của (O). c/m : tg BHCD là hbh
3) BM cắt (O) tại điểm thứ hai E. c/m : M là trung điểm HE, MN vuông góc AD.
4) CN cắt (O) tại điểm thứ hai F. Vẽ d là đường thẳng đi qua H và vuông góc với EF. Lấy là điểm đối xứng của O qua trung điểm BM. c/m: I thuộc d

Cho tam giác ABC có ba góc nhọn nội tiếp đường tròn (O;R) với dây BC cố định, điểm A di chuyển trên cung lớn BC. Các đường cao BE và CF cắt nhau tại H.
1) c/m: tg BFEC nội tiếp
2) c/m: tam giác AEF đồng dạng tam giác ABC.
3) Biết S_ABC = 60cm^2; Góc BAC = 60 độ. Tính diện tích tam giác AEF.
4) Tia BE cắt đường tròn (O) tại M. c/m: AM có độ lớn không đổi, từ đó tìm vị trí của điểm A để chu vi tam giác EAM lớn nhất.

IV. Fill in the blank with a suitable word.GIẢI THÍCH ĐÁP ÁN DÙM MÌNH NHA!!!

Men have played a significant (1)                              in American society as the main breadwinner, and protector of the family. But the traditional role of men has slowly been transferred to women. Society is changing (2)                 women going to college, and gaining jobs. It may even happen in several years’ time when women are given sole earning (3)                                  in American society as the main (4)                     of the family. That is due in part to women gained working privileges (5)                     to men in the 1970s.

      Up until the 1970s, men were the traditional family breadwinners, while women stayed at home, raised the kids, made dinner every night, cleaned the house, and ran all of the errands. Men went to work every day, making enough money to buy a nice home, buy a new car every so often.

      Once women were afforded the (6)                       to work in the same jobs men once held, men’s more traditional foothold in the workplace was loosened. Women were given bigger jobs with more responsibility, but women take jobs with major responsibly with (7)                        pay than men.

      The role of men in American society is (8)                       with more women going to college, and obtaining careers; men are playing more untraditional roles at home.

      Women are still giving birth to the kids, running errands, cleaning, making dinner. Young children, boys as well as girls, are being raised with dad at home (9)                care of the kids.

      Millions of families are also raising their young with mom and dad (10)                        all of the responsibilities. Today’s role of men in American society is more of a shared role, with a more undefined role.

IV. Fill in the blank with a suitable word.GIẢI THÍCH ĐÁP ÁN DÙM MÌNH NHA!!!

Men have played a significant (1)                              in American society as the main breadwinner, and protector of the family. But the traditional role of men has slowly been transferred to women. Society is changing (2)                 women going to college, and gaining jobs. It may even happen in several years’ time when women are given sole earning (3)                                  in American society as the main (4)                     of the family. That is due in part to women gained working privileges (5)                     to men in the 1970s.

      Up until the 1970s, men were the traditional family breadwinners, while women stayed at home, raised the kids, made dinner every night, cleaned the house, and ran all of the errands. Men went to work every day, making enough money to buy a nice home, buy a new car every so often.

      Once women were afforded the (6)                       to work in the same jobs men once held, men’s more traditional foothold in the workplace was loosened. Women were given bigger jobs with more responsibility, but women take jobs with major responsibly with (7)                        pay than men.

      The role of men in American society is (8)                       with more women going to college, and obtaining careers; men are playing more untraditional roles at home.

      Women are still giving birth to the kids, running errands, cleaning, making dinner. Young children, boys as well as girls, are being raised with dad at home (9)                care of the kids.

      Millions of families are also raising their young with mom and dad (10)                        all of the responsibilities. Today’s role of men in American society is more of a shared role, with a more undefined role.

Cho (P): y=ax^2 (a≠0)
a) xác định a biết (P) đi qua A(4;4)

b) Viết phương trình đường thẳng (d) đi qua A và tiếp xúc với (P) 

Cho (P): y=\(\dfrac{-1}{4}x^2\) và (d): y=mx-2m-1

a)Tìm m để (d) cắt (P) tại 2 điểm phân biệt

b) Khi (d) cắt (P) tại 2 điểm có hoành độ là x1,x2 tìm m để x₁=3x₂

c) c/m (d) luôn đi qua điểm A cố định trên (P)