MẸ SINH CON NĂM 25 TUỔI . NĂM NAY TUỔI CON BẰNG 2/7 TUỔI MẸ . TUỔI MẸ NĂM NAY  LÀ :

A. 25 TUỔI   B. 45 TUỔI   C. 35 TUỔI   D. 15 TUỔI

Mn giúp mình từ ý 2 câu b nhé

Cho tam giác ABC có 3 góc nhọn, nội tiếp (O) , các đường cao AD, BE, CF , , cắt nhau tại điểm H . Gọi M là trung điểm của BC , N là điểm đối xứng với D qua M . Đường thẳng NH cắt đường thẳng qua A song song với BC tại P . Gọi I là điểm đối xứng với O qua BC .

a. Chứng minh: BFEC là tứ giác nội tiếp.

b. Chứng minh: tam giác APH đồng dạng tam giác HDN và IH= IB= IC

c, Đường tròn ngoại tiếp tam giác BHC cắt đường tròn ngoại tiếp tam giác AHP tại điểm thứ 2 là G khác H . Chứng minh: góc GHM = 90 độ

Cho tam giác ABC có AB<AC nội tiếp (O), các đường cao AD,BE,CF cắt nhau tại H. CH cắt (O) tại giao điểm thứ 2 là P, PD cắt (O) tại giao điểm thứ 2 là Q, Co cắt DE tại K, AQ cắt DE tại I, đường tròn ngoại tiếp tam giác FDK cắt AD tại Ma, Chứng minh tam giác FHD đồng dạng với tam giác ADEb, Chứng minh AQ chia đôi DEc, Chứng minh MI song song AC

Cho tam giác ABC có AB<AC nội tiếp (O), các đường cao AD,BE,CF cắt nhau tại H. CH cắt (O) tại giao điểm thứ 2 là P, PD cắt (O) tại giao điểm thứ 2 là Q, Co cắt DE tại K, AQ cắt DE tại I, đường tròn ngoại tiếp tam giác FDK cắt AD tại Ma, Chứng minh tam giác FHD đồng dạng với tam giác ADEb, Chứng minh AQ chia đôi DEc, Chứng minh MI song song AC

Cho đường tròn (O) đường kính BC = 2R, dựng tiếp tuyến Cx của (O). Trên Cx lấy điểm M, đường thẳng MB cắt (O) tại giao điểm thứ 2 là D. Dựng đường kính DE của (O), đường thẳng ME cắt ( O) tại giao điểm thứ 2 là K, BK cắt MC tại La, Chứng minh MC^2=MB.MD và 4 điểm D,K,L,M cùng nằm trên 1 đường trònb, Gọi I là giao điểm của BL, BC. Chứng minh M,O,I thẳng hàngc, Hãy tìm vị trí của M trên Cx để diện tích tam giác IBC lớn nhất

Cho tam giác ABC vuông tại A (AB>AC). có đường cao AH và O là trung điểm BC. Đường tròn tâm I đường kính AH cắt AB và AC lần lượt tại M,N

a) c/m BMNC nội tiếp ( đã chứng minh )

b) gọi D là giao điểm của OA và MC .CMR 1/AD =1/HB +1/HC

c) gọi P là giao điểm MN và BC,AP cắt (I) tại K. tính góc BKC

d, cho AB=6,AC=8 tính bán kình đường tròn nội tiếp BMN

Cho tam giác ABC nhọn AB<AC nội tiếp đường tròn (O,R) các đường cao AD, BE, CF cắt nhau tại H

a, CM: A,E,F,H nằm trên 1 đường tròn (mik đã làm)

b, AT căt ( O) tại P chứng minh HD=DP

c, Gọi M là trung điểm BC, I là trung điểm AH chứng minh I,M,E,F nằm trên 1 đường tròn

d, Chứng minh E,F,D,M cùng nằm trên 1 đường tròn

e, Gọi K là điểm đối xứng với O qua BC. CM K là tâm đg tròn ngoại tiếp tam giác BHC

You are going to read an article in which four athletes talk about what they eat.
For questions 1-10, choose from the athletes (A-D) The athletes may be chosen more than once.

Which athlete
enjoys cooking but finds the planning difficult? 1.
has to carry food with him when training? 2.
doesn’t find it easy to eat before an event? 3.
uses cooking as a way to relax? 4.
sometimes allows himself certain food as a reward? 5.
has seen a change in the diet of sports people? 6.
once made the wrong decision about the food he ate? 7.
says that people are unaware of what he actually eats? 8.
says knowing what and when to eat is critical? 9.
has had to change his diet with a change of sport? 10.

SPORTS DIETS

Four athletes talk about what they eat

A. Mark
When I’m cycling on my own I stuff my pockets with bananas and protein bars. On the longest rides
I’ll eat something every half an hour. For heavier training it’s physically impossible to get enough energy
from food alone, so you do rely on energy drinks. One development in sports nutrition since I’ve been
competing is the focus on the importance of protein. Cycling is much more weight-orientated than the
swimming I used to do, which means I need to eat differently now. Protein feeds the muscles but keeps
them as lean as possible. I’ve been an athlete for 20 years so healthy eating is normal for me, but that's
not to say I don’t get a tasty take-away meal from time to time. I’ve just learned to spot the meals that
will provide what I need, it’s simple things like steering clear of the creamy sauces and making sure I get
lots of veg.
B. Stefan
Everyone says: “As a runner you must be on a really strict diet. Do you only eat salad? Are you
allowed chocolate?” But that’s really not the case. I’ve got salad and vegetables in my shopping trolley
but there’s always some chocolate in there, too. I do most of the cooking at home, On the morning of a
competition, I get so nervous I feel really sick. I have to force myself to have something so I’ll have
enough energy to perform well. Sometimes I get those days where I don’t want to be so disciplined. You
think: ‘I’ve trained really hard, I deserve to have a pizza.’ It’s OK to have a little relapse every now and
then but I can’t do it every day or I’d be rolling round the track!
C. Guy
For a gymnast, a kilo can make all the difference. But if you don’t eat enough you’ll be a bit shaky
and weak. It’s all about eating the right amount, at the right time - two hours before you do anything,
Breakfast is fruit and if I’m a bit peckish, whole wheat toast and butter! I get to training for 12 pm, then
break after three hours for lunch - more fruit, a cheese and tomato sandwich. I’m back in the gym from 5
pm to 8 pm, then I go to my Mum’s for steak and vegetables or chicken and salad. I don’t tend to mix
carbs with meat late at night. I’m not the best cook, but I think it’s fun to do. I know how to make chicken
from my mum’s recipe, it just takes me a bit longer to get organized.
D. Tomas
It’s definitely possible to eat delicious food and be a professional swimmer. I’ve always loved food so
I’m not going to be obsessive because you can get what you need and still enjoy every bite. I’m not
really one for endless protein shakes and energy drinks. Before a training session I’d rather have a
banana. That’s not to say I’m perfect. At the world championships I got my feeding strategy wrong - and
I paid for it. For my sport it’s what you eat two days before the competition that makes the difference.
You have to “carb load” - eat piles of rice or pasta - and I didn’t. I was leading for a long way but I ended
up 11 th . My biggest indulgence is pastry. And I love baking. I train for 33 hours a week so in my time off I
need to rest, and spending time in the kitchen is perfect. Swimming is my biggest passion but baking
comes a close second.

Complete the conversations using the pairs of verbs in the box. Use “be + past participle”, “get + (object) + past participle”, or “have + (object) + past participle”. Add the object in brackets where this is supplied and give alternatives where possible.

own – break into rob – steal cut – clean catch – infect wake up – throw out

1. A: Did you hear about Natasha?

B: What happened?

A: She …was / got robbed… on her way to college.

B: No! Is she okay?

A: Yes, she’s fine, but she ……………………………………………………… (her handbag)

2. A: You’re looking tired.

B: I ……………………………………………………… early by my neighbor’s dog.

A: Don’t they keep it inside at night?

B: Usually, yes, but I think it must ………………………………………….…………… because it was barking so much.

3. A: James looked different somehow.

B: He’d……………………………………………………… (his hair)

A: Yes, and I think he’d………………………………………………………… It looked much smarter! (his jacket)

4. A: What an amazing house!

B: It ………………………………………………… by Jason Norman. You know, the rock singer.

A: I know him, yes.

B: The problem is, he’s never there, and it keeps ……………………………………………………

5. A: What happened to your coat?

B: I ……………………………………………………… on some barbed wire as I was climbing over a fence. I hurt my arm, too. (it)

A: Ouch. That looks nasty. You ought to go to the doctor. It might ……………………………………

Each of the words for people 1-5 has a relationship of some kind with one of the words a-e. Match

the words and then use them to complete the sentences below. You may need to use plural forms.

1. host 2. Bride 3. Competitor 4. Performer 5. Doctor

a. spectator b. Patient c. Audience d. gueste. groom

42. The youngest .................................. in the stadium surprised the .................................. by

winning the 400 metres in record lime.

43. The only person I recognized at the party was the ..................................; I didn’t know any of the

other ..................................

44. The .................................. and .................................. looked very happy as they walked back

down the aisle after the ceremony.

45. Many members of the.................................. left the theatre before the end of the play, disappointed

at the acting of some of the ..................................

46. After a thorough examination, the .................................. could find nothing wrong with his

..................................