Giải hệ phương trình sau:

\(\left\{{}\begin{matrix}3x-2\left|y\right|=9\\2x+3\left|y\right|=1\end{matrix}\right.\)

\(\left\{{}\begin{matrix}\left|x-2\right|+2\left|y-1\right|=9\\x+\left|y-1\right|=-1\end{matrix}\right.\)

Cho đường tròn (O;R) đường kính AB. Vẽ dây CD của đường tròn (O) vuông góc với OA tại trung điểm M của OA. Gọi E là trung điểm của BC.

a, C/m: O, M, C, E cùng thuộc một đường tròn

b, Tiếp tuyến tại B của đường tròn (O) cắt tia OE tại M. C/m: MC là tiếp tuyến của đường tròn (O)

c, C/m: MA² + MB² + MC² + MD² = 4R²

EX: Viết lại các cặp câu dưới đây thành câu có chứa mệnh đề quan hệ

1. The customer liked the waitress. The waitress was very friendly.

2. We broke the computer. The computer belonged to my father.

3. I sent an email to my brother. My brother lives in Australia.

4. She worked for a man. The man used to be an athlete.

5. She loves books. The books have happy endings.

6. They called a lawyer. The lawyer lived nearby.

7. I dropped a glass. The glass was new

EX: Cho dạng đúng của động từ trong ngoặc để hoàn thiện câu điều kiện loại 1 và 2

1. If you (see)_____ Mai, I (tell)_____ him your news.

2. You (meet)_____ my brother if you (go)_____ to town on Monday.

3. Meg sleeps only 5 hours a day. If she (sleep)_____ longer, her health (improve)_____ fast.

4. If she (want)_____ to talk to me, she (ring up)_____. I guess she doesn't

5. If you (need)_____ help, my father (help)_____ you

6. We (have)_____ a picnic if the day (be)_____ fine

7. I (understand)_____ Mr Brown if he (speak)_____ slowly

8. If you (see)_____ a policeman, he (show)_____ you the way

9. I (finish)_____ the job tomorrow if I (can)_____

10. If you (give)______ him good meals, he ( not be able)_____ to work hard

11. You (make)_____ a fortune if you (take)_____ my advice. Too bad!

12. I (not need)_____ an umbrella if it (not rain)_____

13. If she (think)_____ it over carefully, she (form)_____ a clear opinion.

14. If they (catch)_____ a bus now, they (arrive)_____ at half past nine.

15. He (find)_____ the answers if he (look)_____ at the back of the book.

16. If I (think)_____ that about him, I (say)_____ so aloud.

17. If he (promise)_____ to behave in the future, his mum (forgive)_____ him.

18. If you (want)_____ me to, I (come)_____ for a walk with you.

19.  If we (can)_____ come on Sunday, we (come)______. I am really sorry.

20. If you (wait)_____ for a moment, the waiter (bring)_____ you a coffee.

21. He (lose)_____ weight if he (stop)_____ eating so much.

22. Life (be)_____ monotonous if we (have)_____ nothing to do.

23. He (not  phone)_____ me here unless it (be)_____ urgent.

24. If they (love)_____ each other, they (not fight)______ so much.

25. If she (be)______ patient, I (try)______ to explain.

26. If he (do)_____ that again, his father (punish)_____ him.

27. If Peter (ask)_____ Mary, I'm sure she (marry)_____ him.

28. She (get)_____ fit if she (walk)_____ every day 3km

29. If she (drink)_____ this medicine, she (feel)______ much better.

30. He (be)_____ very pleased if it (be)______ really true

EX: Cobine these pairs of sentences, using who, which, that or whose.

1. The old man is my grandfather. He lives next door.

2. Nami is very friendly. She is a friend of Emma's.

3. We stayed at the Grand Hotel. An recommended it to us.

4. The trousers are too small for me. I bought them yesterday.

5. John is one my closest friends. I've known him for a very long time.

6. The man is a computer expert. You were talking to him.

7. The new stadium will be opened next month. It can hold 90.000 people.

8. Alex plays the guitar well. He is Greg's brother.

9. This morning I met Anna. I hadn't seen her for ages.

10. The postcard was from Harriet. It came this morning.

EX: Rearrange the word or phrase in the right order to have meaningful sentences.

1. has/ since/ He/ the/ played/ piano/ 2015/.

2. have time/ Nam/ didn't/ got up/ for/ late,/ he/ breakfast./ so/

3. The movie was so interesting that I have watched it twice.

→ It was................................................................................

4. I haven't seen my younger brother for 3 years.

→ The last time...............................................................

5. As soon as she had finished her homework, her friends came.

 → Hardly......................................................................................

6. The weather was not very nice, but they still decided to have an outdoor party.

→ The bad weather......................................................................

7. Although David's health was not very good, he participated in many sports.

→ In spite.....................................................................................

8. I'm sorry I have broken your vase.

→ I apologize...................................

9. I don't have money to go on holiday in Europe. I don't have time, either.

→ I have neither...........................................................................

10. They had turned off the lights before leaving the room.

→ The lights..........................................................................

11. We couldn't relax until all the work had been completed.

→ Only.................................................................................

12. I find her handwriting difficult to read.

→ I have.................................................

12-1-2-3-4-5+1234-1-2-3-4+12345678-1-2-3-4-5-6-7-8

EX: Complete the second sentence so that it has a similar meaning to the first.

1. I don't have a new car.

→ I wish.............................

2. They will build a new supermarket here tomorrow.

→ A new supermarket.................................................

3. " I will go to my village tomorrow " He said

→ He said.......................................................

4. My brother likes playing soccer every morning.

→ My brother is interested.......................................

5. Despite the bad weather, Nam went out for a picnic.

→ Although..............................................................

6. They expect the professor will arrive this morning.

→ It is expected.......................................................

7. " I will go to my village next week " Mr Nick said

→ Nick said..............................................................

8. Ba worked hard. He passed his exam.

→ She worked.............................................

EX: Choose the underlined word or phrase ( A, B, C or D) that needs correcting.

1. (He) said he (would go) (to) England (next week).

      A                        B         C                         D

2. My brother (enjoys) (to go) (to) the park (on Summer) evenings.

                          A            B       C                      D

3. (Nam wishes) he (can speak) English (fluently).

            A                           B                         C

4. Mi (has stayed) (on) her (uncle's) farm (for) last week.

                 A            B                C                D

5. (This is) the first (time) I (visited) a famous place (in Hanoi)

          A                      B           C                                      D