1.2 với \(x\ge0,x\in Z\)

A=\(\dfrac{2\sqrt{x}+7}{\sqrt{x}+2}=2+\dfrac{3}{\sqrt{x}+2}\in Z< =>\sqrt{x}+2\inƯ\left(3\right)=\left(\pm1;\pm3\right)\)

*\(\sqrt{x}+2=1=>\sqrt{x}=-1\)(vô lí)

*\(\sqrt{x}+2=-1=>\sqrt{x}=-3\)(vô lí
*\(\sqrt{x}+2=3=>x=1\)(TM)

*\(\sqrt{x}+2=-3=\sqrt{x}=-5\)(vô lí)

vậy x=1 thì A\(\in Z\)

My taste in art is not the same as my sister's

I think romantic films aren't as interesting as action films

I don't speak Japanese and my new friend doesn't, either

Nester goes climbing less than before

He's had a cold for 2 days because he didn't wear enough clothes

I will spend an hour gettign this task done

My father prefers tea to coffee

Eat less or you will be obese

1 B. other (forms ở số nhiều $\rightarrow$ other forms)

2 D. important (đứng trước danh từ form, chọn tính từ hợp nghĩa)

3 A. sung (cấu trúc bị động đi kèm composed and sung)

4 A. ago (hundreds of years ago - hàng trăm năm trước)

5 C. who (mệnh đề quan hệ chỉ người who originally composed them)

6 C. instruments (nhạc cụ: flute, accordion, etc.)

7 D. also (được gọi là... cũng được gọi là...)

8 A. bad (protest songs phàn nàn về những điều tồi tệ: bad things)

1 He didn't remember anything about the event, and neither did she. (Hoặc: He didn't remember anything about the event, and she didn't either.)

2 She doesn't sing as beautifully as her sister.

3 I think no students in the class are cleverer than Nick. (Hoặc: I think no students in the class are as clever as Nick.)

4 I go to the same school as my cousin.

5 My friend will never have such a chance again, and neither will I. (Hoặc: My friend will not have such a chance again, and I won't either.)

6 For me, an ape isn't different from a monkey.

7 Jack doesn't sleep as much as he should.

8 By using public transport more, we can reduce air pollution.

9 Her father has been working as a television reporter since she was born. (Hoặc: Her father has been a television reporter since she was born.)

10 Last year he worked harder and more carefully than he does this year.

Thứ tự sắp xếp: 3 – 2 – 4 – 1 – 6 – 5

1 A. Music In Life

2 D. Music has made people's life less entertaining

3 B. it makes us calm in our daily life

4 C. unanswered

5 C. Music has long been a wonderful way for man to enjoy life and understand each other.

VIII
1. too
2. so
3. doesn't
4. can't
5. too

VII
1A
2A
3D
4D
5A

1B
2A
3B
4C
5C
6D
7C
8C
9B
10B
11C
12A
13D
14A
15C
16D
17B
18C
19C
20D
21D
22D
 

a) Xét tam giác ABE và tam giác ACE có:

+ AE chung.

+ AB = AC (gt).

+ BE = CE (E là trung điểm của BC).

=> Tam giác ABE = Tam giác ACE (c - c - c).

b) Xét tam giác ABC có: AB = AC (gt).

=> Tam giác ABC cân tại A.

Mà AE là đường trung tuyến (E là trung điểm của BC).

=> AE là phân giác ^BAC (Tính chất các đường trong tam giác cân).

c) Xét tam giác ABC cân tại A có: 

AE là phân giác ^BAC (cmt).

=> AE là đường cao (Tính chất các đường trong tam giác cân).

=> AE \(\perp\) BC.

Xét tam giác BIE và tam giác CIE:

+ IE chung.

+ BE = CE (E là trung điểm của BC).

+ ^BEI = ^CEI ( = 90^o).

=> Tam giác BIE = Tam giác CIE (c - g - c).