Cho tam giác ABC nội tiếp đường tròn tâm O, H là trực tâm, tia p/g góc A cắt đtròn tai D. M trung điểm BC. Từ A kẻ đường thẳng a vuông góc với AD. Từ H hạ HN, HP vuông góc với AD và đường thẳng a (N thuộc AD, P thuộc đường thẳng a).

a)Chứng minh: \(OM=\dfrac{AH}{2}\)

b) Chứng minh M, N, P thẳng hàng

Đường tròn nội tiếp tam giác ABC tiếp xúc với BC, AC lần lượt tại A', B'. Gọi M và N thứ tự là trung điểm AB, AC.

Chứng minh: A'B', MN và phân giác góc ABC đồng quy

Do khi bứng 1 số rễ cây bị đứt sẽ không còn khả năng để hút nước nên người ta cắt bớt lá để giảm sự thoát hơi nước

Cho tam giác ABC nội tiếp đường tròn tâm O, H là trực tâm, tia p/g góc A cắt đtròn tai D. M trung điểm BC. Từ A kẻ đường thẳng a vuông góc với AD. Từ H hạ HN, HP vuông góc với AD và đường thẳng a (N thuộc AD, P thuộc đường thẳng a).

a)Chứng minh: \(OM=\dfrac{AH}{2}\)

b) Chứng minh M, N, P thẳng hàng

I. Mỗi câu có một lỗi sai, em hãy tìm và sửa lại cho đúng.

1. I cannot cook (the) meals better than my mother.

2. I have not talked to Jim when we last met at a friend’s party.

3. I have less books in English than my classmates.

4. Where were you buy these picture books last month?

5. My mother is tall and short curly black hair.

6. Ha Noi is a city busy with a lot of traffic.          

7. I feel very thirsty. I’d love drinking some water.

8. Mr. Thanh is at home now and he’s waters trees in the garden.

9. How much hours a week does Hoa’s brother usually work?

10. My uncle is not older than his wife.

II.Give the correct form of verbs in the brackets.

1. Which subject you (1. like) ___________ best? – Math and English.

2. I’m very thirsty. I’d like (2. have) ____________ some drinks now.

3. Get up early or you (3. be) _____________ late for the bus.

4. It is not easy (4. find) _____________ a suitable apartment in a big city.

5. Where are you, dad? – I’m here, in the living room. I (5. read) ___________ a newspaper.

6. Most of students are fond of (6. do) __________ sports after school.

7. Hoa (7. not write) ________ to her parents yesterday. She (8. phone)_________them.

8. I (9. not see) _____________ Nam since he (10. move) ______________to live in town.

Correct the mistake in the following sentences.

1. He running at the moment

2. She watch TV in the morning.

3. Nga and Thu are swiming at the moment

4. Lan doesn’t walks to school everyday. She cycles

5. What do she do in her free time? – She reads

6. Minh and I am chatting with our friends.

7. She go to school with her friends every day

8. Look! They are drive their car.

9. The boys doesn’t play sport after school, they go home

10. Loan doesn’t singing at the moment. She is dancing

. Find and correct one mistake in each of the following sentences.

Make questions for these following sentences.

1. She bought a lot of different gifts for her friends.

=>_{…………………………………………………………………………………………………………………………………………………………………}

2. My vacation in Nha Trang was very wonderful.

=>_{…………………………………………………………………………………………………………………………………………………………………}

3. They ate lunch in a famous restaurant yesterday evening.

=>_{…………………………………………………………………………………………………………………………………………………………………}

4. They went to Hanoiby coach.

=>_{…………………………………………………………………………………………………………………………………………………………………}

5. Next week she will bring me some more stamps.

=>_{…………………………………………………………………………………………………………………………………………………………………}

6. They don’t like that film because it is very boring.

=>_{…………………………………………………………………………………………………………………………………………………………………}

7. She is going to stay with her grandparents for a week.

=>_{………………………………………………………………………………………………………………………………………………………………}

8. My children go swimming twice a week.

=>_{…………………………………………………………………………………………………………………………………………………………………}