Rút gọn:
A = \(\dfrac{2\sqrt{2}+2+\sqrt{3}+\sqrt{6}}{1+\sqrt{18}+\sqrt{8}}\)

Cho tam giác ABC vuông tại A. Đường tròn O, đường kính AB cắt BC tại M.

a. Chứng minh AM vuông góc với BC và AM.BC=AB.AC.

b. Gọi I là trung điểm của AC. Đường thẳng BI cắt đường tròn O tại điểm thứ hai N. Chứng minh MNIC là tứ giác nội tiếp.

c. Chứng minh IC^2 =IN.IB.

read the text below and look carefully at each line. Some of the lines are correct but some have a word which should not be there.

A THANK- YOU LETTER

Dear Angie,

I am writing to say how much I enjoyed staying with you and your

family, and to thank you for your hospitality. I have had a good flight

home, and my parents and sisters were waiting at the airport to meet

me. There was so much news to tell to them that we stayed up talking

until long after the midnight! They were extremely interested to see

through all my photographs, especially the ones of you and yourr family.

I have been trying to persuade them to visit England in next year so that

they can meet you. I know you would all get on with very well together.

I must say that it's nice to be home again and speaking my own

language, but I'm afraid I may forget all the English I had learnt while

I was staying with you . So I'm planning to write to you regularly

as a way of practicing. I'm sure of I'll make lots of mistakes and it

would be helpful if you could correct the worst ones.

Please write soon. I'm looking forward to your news.

mình phóng to bài giảng ở violet thì bị như này: loại tệp này có thể gây hại cho máy tính của bạn. bạn có muốn giữ tệp preview. swf không? làm thế nào để khắc phục

Suy nghĩ về tình người đẹp đẽ ở quê hương em (Quảng Nam)

This is a part of the letter you receive from an English friend, Sue.
......tell me about your TV in your country. are the programmes are the programmes interesting? how much TV do you watch? Do people watch too much TV these days?....

Now write a letter to Sue answering her questions. Write your letter in about 130-150

Người ta tung một con xúc xắc 30 lần, kết quả được ghi lại ở bảng sau :

Hãy tìm x, y biết giá trị trung bình là 4.

Giải giúp mình với !

PART I: (3.0 pts) Choose the word or phrase (A, B, C, or D) which best completes each sentence. Circle the letter you choose.

1. Your plan was completely _______. It didn’t work at all.

A. used B. useful C. useless D. usefully

2. Claire wanted to make tea, _______ she heated some water.

A. so B. but C. although D. so that

3. A man from our village, ________ children I teach, was on T.V. last night.

A. who B. whom C. where D. whose

4. I am responsible for the preparation,________?

A. aren’t I B. am I C. am not I D. don’t I

5. _____ I use your car?- Of course. Here’s the key.

A. May B. Must C. Need D. Should

6. “Would you like a glass of green tea?”

A. No, let’s not. B. No, I don’t. C. No, thanks. D. No, I wouldn’t.

7. Peter behaved so badly at the party. I wish I _______ him.

A. do not invite B. did not invite C. had not invited D. would not invite

8. That car runs at _______ speed of 180 miles _______ hour.

A. the / an B. a / the C. a / a D. the / a

9. We need _______ money to send our son to Oxford University.

A. a large sum of B. a few of C. many D. lot of

10. Mary was the_______________ of the three sisters.

A. clever B. clever as C. cleverer D. cleverest

11. I didn’t have an umbrella, so I got wet.

A. If I had had an umbrella, I wouldn’t get wet.

B. If I had had an umbrella, I would get wet.

C. I had had an umbrella, I wouldn’t have got wet.

D. Had I had an umbrella, I wouldn’t have got wet.

12. The president refused to make any judgement ______ the situation.

A. on B. with C. about D. to

13. I am fed ______ hanging around here with nothing to do.

A. up on B. out of C. up with D. by

14. The test is taking place ______ a week’s time.

A. in B. at C. for D. on

15. You can borrow this car if you promise to look ______ it carefully.

A. into B. at C. after D. up

PART II: (2.0 pts) Fill each gap in the passage with one suitable word from the box. Write your answers in the space provided under this passage.

Famine is a prolong food shortage that causes (1)________ hunger and death. Throughout history, famine has truck at least one area of the world (2) ________ few years. Most of the developing nations of Africa, Asia and Latin America have (3)________ enough food for their people. Millions in these countries go hungry. When food production or imports (4) ________ for any reason, famine may strike and thousands or millions of people may die.

Many famines have more than one cause. For example, the great Bengal famine of 1943 in Eastern India was caused by both (5)________ and historical events. World War II (6)________ a general food shortage and let to the cutoff of rice imports from Burma, which had been occupied by the Japanese. Then a cyclone (7)________ much farmland. Famine struck, and more than one and a half million persons died.

Nearly all famines result (8)________ crop failures. The chief causes of crop failure include drought, too much rainfall and flooding, and plant diseases and (9) ________. Many other (10) ________ may also help create a famine.

Your answers:

1 _______________________ 6 _______________________

2 _______________________ 7 _______________________

3 _______________________ 8 _______________________

4 _______________________ 9 _______________________

5 _______________________ 10 _______________________

PART III: (2.5 pts) Write the correct FORM of each bracketed verb in the numbered spaces provided in the column on the right. (0) has been done as an example.

PART IV : (1.0 pt): Identify the words or phrases ( A, B, C, or D) that must be changed for the sentence to be correct. Circle the letter you choose.

1. When a patient’s blood pressure is much higher than it should be, a doctor usually

A B C

insists that he will not smoke.

D

2. First raise your hand, and then, you should repeat after me.

A B C D

3. It is believed that pollute is one of the main causes of species extinction.

A B C D

4. People should organize different activities to protect these rarely animals.

A B C D

5. The important thing is to believe that the problems can be solve and not to give up

A B C D

PART V: (1.0 pt) Read the following passage and circle the answers A, B, C or D which is most accurate according to the information given in the passage.

Laptop computers are popular all over the world. People use them on trains and airplanes, in airports and hotels. These laptops connect people to their workplace. In the United States today, laptops also connect students to their classroom.

Westlake College in Virginia will start a laptop computer program that allows students to do schoolwork anywhere they want. Within five years, each of the 1500 students at the college will receive a laptop. The laptops are part of a $10 million computer program at Westlake, a 100-year-old college. The students with laptops will also have access to the Internet. In addition, they will be able to use email to “speak” with their teachers, their classmates, and their families. However, the most important part of the laptop program is that students will be able to use computers without going to computer labs. They can work with it at home, in a fast food restaurant or under the trees- anywhere at all!

At Westlake College, more than 60 percent of the staff use computers. The laptops will allow all teachers to use computers in their lessons. As one Westlake teacher said, “Here we are in the middle of Virginia and we’re giving students

a window on the world. They can see everything and do everything.”

1. The main purpose of the laptop program is to give each student a laptop to _____.

A. use for their schoolwork B. access the Internet

C. work at home D. connect them to libraries

2. Why is the word “speak” in the second paragraph in quotation marks?

A. They don’t really talk.

B. They use the computer language.

C. Laptops have speakers.

D. None of the above reasons is correct.

3. Which of the following is true about Westlake College?

A. All teachers use computers.

B. 1500 students have laptops.

C. It is an old college in America.

D. Students there can do everything.

4. A window on the world in the last paragraph means that students can _____.

A. attend lectures on information technology

B. travel around the world

C. get information from around the world

D. have free laptops

PART VI: (2.0 pts) Write the correct FORM of each bracketed word in the numbered space provided below.

1. We were very pleased with the ( WARM) of his welcome.

2. I feel like a (STRANGE) in this city.

3. It’s my (RESPONSIBLE) to postpone the meeting.

4. (POLITE) is an important factor in communication.

5. A pharmacist’s job requires him or her to work (CARE) and quickly.

6. Tom was accused of stealing some (CONFIDENCE) documents.

7. Scientists consider it (BELIEVE) that gods create volcanic eruption.

8. Tom spoke ( BREATH) because he was so excited.

Your answers:

1 _______________________ 5 _______________________

2 _______________________ 6 _______________________

3 _______________________ 7 _______________________

4 _______________________ 8 _______________________

PART VII: (2.0 pts) Read the following passage carefully and choose the best word, A, B, C, or D to fill in each gap.

Can you imagine what Thomas Edison’s life was like in the years after he had invented the electric lamp? Many things had to be invented and built before electric lamps could really _____(1)______ by all; machines to _____(2)______ the electricity each home ; things ____(3)_____ it certain that the electricity in the wires did not ____(4)_____ fires; things to send electricity ____(5)_____ the right places.

Everything that was ____(6)_____ had to be thought of and ____(7)____ by Edison and the men who worked with him. There was no place where they could buy the things they ____(8)____ . Edison made 360 inventions or ___(9)_____ in order to send electric power to ____(10)____ it was wanted.

1. A. use B. used C. be used D. be using

2. A. measure B. test C. obtain D. take

3. A. make B. to make C. making D. to be made

4. A. like B. put C. start D. begin

5. A. to B. by C. at D. in

6. A. obtained B. accepted C. tried D. needed

7. A. building B. built C. was building D. build

8. A. need B. are needing C. were needing D. needed

9. A. less B. least C. much D. more

10. A. whoever B. wherever C. whatever D. whenever

SECTION II: WRITING (6.5 pts)

PART I: (2.5 pts) Finish each of the following sentences in such a way that it means exactly the same as the sentence printed before it.

1. We like to lie on the beach all day.

® We enjoy __________________________________________________

2. My mother never allows me to go out alone at night.

® My mother never lets_________________________________________

3. If you don’t start working hard now, you won’t be able to pass the final test.

® Unless_____________________________________________________

4. I was sick with the flu, I still had to study for the test.

à Although___________________________________________________

5. The tea is too hot for me to drink.

® It is such___________________________________________________

6. You forgot to switch on the washing machine, didn’t you?

® You didn’t__________________________________________________

7. Anne could not go to university because of her financial difficulties.

® Because Anne_______________________________________________

8. The doctor suggested we should walk every day for extra exercise.

® The doctor recommended us____________________________________

9. The book was interesting to most children.

® Most children_______________________________________________

10. “ How many survivors are there?”, asked the journalist.

® The journalist asked__________________________________________

PART II: (4.0 pts) In about 150-180 words, write a composition on this topic.

“The important of reading books”

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