Tìm m biết m \(\in\)[-x;y]

\(\left\{{}\begin{matrix}x^2+y^2+2x+2y=6\\x^2y^2+2xy^2+2x^2y+4xy=m\end{matrix}\right.\)

Correct ONE mistake

1. She taught me how use the photocopier.

2. The disable children should be given a good education.

3. My nephew is in the ten grade20. The rich finds it easy to earn money.

4. Did you used to go on business?

5. The students in the chemistry class wanted to find out what water is done of.

6. She told me her address after I ask her twice.

7. There was a fire at a nursing home in Charles Street, but none of the old who live there were hurt.

8. My brother pushed James into the swimming pool which seemed to amuse people.

Cho ABC có trọng tâm G, H là điểm đối xứng của B qua G, M là trung điểm của BC. C/m:

a, \(\overrightarrow{AH}=\frac{2}{3}\overrightarrow{AC}-\frac{1}{3}\overrightarrow{AB}\)

b, \(\overrightarrow{CH}=-\frac{1}{3}\left(\overrightarrow{AB}+\overrightarrow{AC}\right)\)

c, \(\overrightarrow{MH}=\frac{1}{6}\overrightarrow{AC}-\frac{5}{6}\overrightarrow{AB}\)

1. I think we should speak English more in class

-> I suggest

2. The bookshelf was so high that the child couldn't reach

-> The bookshelf

3. They will widen all the main streets in this city

-> All the main

4.His teachers son;t like him. His friends also don't like him ( neither )

5. During Tet, children receive lucky money. It is wrapped in red tiny envelopes ( which )

6. Internet can be a source of information. It can also be a source of entertainment ( both )

7.The local government will enlarge the roads in upcoming years

-> The roads

8. I haven't done gardening for three months

-> The last time

9. Despite living quite far away, shw walks to school every day

-> Although

10. The questions were difficult for the students to answer correctly

-> Those were
11. We can't help him with his homework. We don't have time ( If )

12. The Browns keep having all-night parties. They live next door ( who )

13. He earns more money. He makes more contributions to society ( The )

1. " Don't forget to turn off the lights when you go out, Peter ", his mother said

-> Peter's mother reminded

2. Our grandparents live far away. We don't usually visit them ( If)

3. They couldn't drive fast. The road was very slippery ( so )

4. The children finished their homeword. They went out to play football ( after )

5. I came back to the village. I was born in that village ( where )

6. It's six months since I last went swimming

-> I haven't

7. The neighbor's dog woke me up this morning

-> I

8. "What time is the meeting?"

-> She wanted

9. My sister is a better speaker of English than me

-> I can't

10. The furniture was very expensive. I didn't buy it ( too )

11. I can't go for a picnic with you. I'm not free today ( If )

12. He worked really hard. He couldn't earn enough money to buy a house ( In spite of )

13. Kathy did some exercise. Then she had a shower ( After )

Cho đường tròn (O;R) và điểm A cố định thỏa mãn OA = 2R. Một đường kính BC quay quanh O sao cho A, B, C không thẳng hàng. Đường tròn ngoại tiếp tam giác ABC cắt đường OA ở P (khác A). Đường thẳng AB, AC cắt (O) ở điểm thứ hai là D và E. Nối DE cắt OA ở K. Chứng minh:
1) Các tam giác OPB, AOC đồng dạng và tứ giác PECK nội tiếp
2) AK.AP = AE.AC
3) Đường thẳng DE đi qua một điểm cố định
4) Đường tròn ngoại tiếp tam giác ADE đi qua điểm cố định F từ đó suy ra vị trí CB để diện tích tứ giác ABPC lớn nhất

Cho đường tròn tâm O, điểm M cố định nằm ngoài (O), kẻ 2 tiếp tuyến MA,MB với (O) ( A,B là tiếp điểm ). Trên cung nhỏ AB lấy điểm N và từ N kẻ tiếp tuyến với (O) cắt MA,MB lần lượt tại E và F

1) Chứng minh tứ giác AONE nội tiếp

2) Chứng minh chu vi tam giác MEF và độ lớn góc EOF không phụ thuộc vị trí điểm N

3) Gọi I,K lần lượt là giao điểm của OE và OF với AB. Cho \(\widehat{AOB}\) = 120 độ , tính tỉ số \(\frac{EF}{IK}\)

4) Đường thẳng qua O vuông góc với OM cắt MA,MB lần lượt tại C và D. Tìm vị trí điểm N để ( EC+FD ) có độ dài nhỏ nhất

mk rảnh