Bài 3 (3,5 điểm): Cho tam giác ABC vuông tại A có đường trung tuyến AM. Gọi D là trung điểm của AC, E là điểm đối xứng với M qua D.

a) Chứng minh tứ giác AMCE là hình thoi.

b) Cho AB =6 cm, AC = 8 cm. Tính chu vi hình thoi AMCE, diện tích của tứ giác ABCE?

c) Gọi I là trung điểm của AM. Chứng minh E, I, B thẳng hàng.

Các bạn giúp mình với sắp nộp bài rồi. Thanks!!!!

Bài 3 (3,5 điểm): Cho ABCcân tại A, đường cao AH. Gọi D, E lần lượt là trung điểm của AB, AC.

a) Tứ giác ADHE là hình gì?

b) Gọi M đối xứng với H qua D. Chứng minh AM⊥ MB ?

c) Chứng minh AH, ED, CM đồng quy?

d) Cho AB = 5cm, BC = 6cm. Tính diện tích tam giác AHD?

các bạn giúp mình với ạ sắp nộp bài rồi

I. Rewrite the following sentences based on the given words.(1.25pts)
1. Noise pollution/ big cities/ lead/ hearing/ problems.
________________________________________________________________________________
2. Lots/ aquatic animals/ die/ because/ oil spills.
________________________________________________________________________________
3. If/ you/ president/ country/ what/ you/ do/ protect/ environment?
________________________________________________________________________________
4. One way/ save/ environment/ is/ use/ renewable/ energy/ sources.
________________________________________________________________________________
5. This boy/ suffer/ birth/ defects/ because/ parents/ expose/radioactive/ pollution.
________________________________________________________________________________
II. Reorder the words to make the sentences. (1.25pts)
1. is/ but/ not/ Canberra/ the/, / is/ Australia/ capital/ of/ Sydney.
....................................................................................................................………………………….
2. Maori/ native/ of/ New Zealand/ people/ the/ are/ the/ Island/ in/ North.
....................................................................................................................…………………………
3. Washington D.C/ opens/ Museum/ a.m./ at Children’s/ in/10.00/National/ The.
....................................................................................................................…………………………
4. monument/ San Francisco/ Bridge/ of/ The/ an/ iconic/ Gate/ is/ Golden.
....................................................................................................................…………………………
5. its/ years/ language/ for/ considered/ Malaysia/ as/ has/ official/ English.
....................................................................................................................…………………………

The Maori arrived in New Zealand from other Polynesian islands over a thousand years ago. They were the first people to live there. They made beautiful wooden buildings with pictures cut into the wood. There are about 280,000 Maori today. Maori have brown skin, dark brown eyes and wavy black hair. In 1840, they agreed to become British colony, and they learned European ways quickly. Today, there are Maori in all kinds of jobs. They attend schools and universities and become lawyers and scientists. There are Maori in the government. Most of them live like the white New Zealand. However, the Maori do not forget their traditions. Children learn the language, music and old stories. They have yearly competitions in speaking, dancing, and singing. The Maori live a comfortable, modern life, but they keep their traditions by passing them to their children.

Read the passage again and answer the following questions. (1.25pts)
1. Did the Maori come from Polynesian islands?
->…………………..…………………………………………………………………………………….
2. How many Maori are there today?
->…………………..……………………………………………………………………………………
3. What do the Maori look like?
->…………………..…………………………………………………………………………………….
4. What do they do at their yearly competitions?
->…………………..…………………………………………………………………………………….
5. Do the Maori live comfortable life?
->…………………..…………………………………………………………………………………….

I. Read the passage and give True (T) or False (F).

The Maori arrived in New Zealand from other Polynesian islands over a thousand years ago. They were the first people to live there. They made beautiful wooden buildings with pictures cut into the wood. There are about 280,000 Maori today. Maori have brown skin, dark brown eyes and wavy black hair. In 1840, they agreed to become British colony, and they learned European ways quickly. Today, there are Maori in all kinds of jobs. They attend schools and universities and become lawyers and scientists. There are Maori in the government. Most of them live like the white New Zealand. However, the Maori do not forget their traditions. Children learn the language, music and old stories. They have yearly competitions in speaking, dancing, and singing. The Maori live a comfortable, modern life, but they keep their traditions by passing them to their children

.…… 1. Maori are Polynesians

.…… 2. New Zealand is an island country

.…… 3. The Maori look like the Chinese

.…… 4. The Maori live by hunting and fishing

.…… 5. The Maori like music.

I. Choose the best answer to fill in the blank. (2.5pts)

1. This animal, the ______, is a symbol of Australia.

A. kangaroo

B. koala

C. rabbit

D. tiger

2. Do you know that the telephone, the TV and penicillin are Scottish ______. A. inventors

B. inventor

C. inventions

D. invention

3. Noise pollution can lead to ________loss.

A. looking

B. hearing

C. listening

D. reading

4. Have you come _______ solutions to this problem?

A. up to

B. to with

C. up with

D. on to

5. The famous Sydney Opera House _________as an arts center since 1973.

A. serves

B. served

C. have served

D. has served

6. If you ________the president, what would you do to help the environment?

A. would be

B. are

C. had been

D. were

7. Don’t drink that water. It’s_________ .

A. contaminated

B. pure

C. damaged

D. dumped

8. Linh: Mai has won the first prize. - Ha: _______!

A. That's awesome

B. Oh dear

C. How terrible

D. That's shocking

9. Today, some of the world's tallest and most famous skyscrapers ______________ in the city

.A. is found

B. finds

C. are found

D. found

10. Located in the heart of the city ______________ the one hundred and ten story Sears Tower.

A. has been

B. is

C. will be

D. are