Ex1:

1:Learning /foreign language/necessary/us/get/job.

=> Learning a foreign language is necessary for us to get a job.

2:Video film /interesting/I/see/twice.

=> Video film is so interesting that I have seen it twice

3:Boxing/too/dangerous/her/play,/it?

=> Boxing is too dangerous for her to play it.

4:He /try/stop/smoking/many times/but/he/never/succeed.

=> He has tried to stop smoking many times but he has never succeeded.

5:Tomorrow,parents/come/stay/me/few days/so/i/excited/now.

=> Tomorrow, my parents are going to come and stay with me for a few days, so I'm excited now.

6:I/be/sorry/i/not/write/you/such/long time/but i/very busy/

=> I'm very sorry that I haven't written for such a long time, but I've been very busy.

7:as you know ,/we/just/move/new flat/center/city//

=> As you know, we have just moved to a new flat in the center of the city.

8:We /like/you/come over/dinner/our new flat/7pm/next Saturday//

=>We'd like you to come over to have dinner in our new flat at 7 pm next Saturday.

9:Please give me/ring/let/know/you/able/com//

=> Please give me a ring and let me know if you are able to come.

10:I/really/look forward/see/you again.

=> I really look forward to seeing you again.

Ex2: Read the passage and use only on suitable word to fill in each gap.

A pioneer in the field of telecommunications, alexander graham bell was (1) born in 1847 in Edinburgh Scotland.He moved to Ontario and then to the united states setting in Boston before beginning his career as an inventor.Throughout his life bell had been interested (2) in the education of deaf people.This interests him to(3) inviting the microphone and in 1867 his "electrical speech machine" which we now call a (4) telephone New of his invention quickly (5) spreaded throughout the country even throughout Europe.By 1878 Bell had set up the first telephone exchange in New Haven Connecticut.By 1884 long distance connections were (6) made between Boston Massachusetts and new york city.

Bell imagined great uses for his telephone like the model from (7) the 1920s but would he ever have (8) imaged telephone lines being used to transmit video images? Since his (9) death in 1992 the telecommunication industry has undergone an amazing revolution. Today non-hearing people are able to use a special display telephone to communicate.Bell's "electrical speech machine"paved the way (10) for the information super high.

Ex3:

New Year is one of the most important (23) festival in the United States. On New Year's Eve, most people go to the parties. At twelve o'clock (24) at night, everyone says "Happy New Year" and they (25) wish their friends and relatives good luck. New Year’s parties usually last a long (4) night to many people. Many people don’t go home (5) until morning. Another holiday, Halloween, is mainly for children. On this holiday, children (6) dress as witches, ghosts or others. Most children go (7) from house to house asking for candy or fruit. If the people at the house do not give (8) them candy, the children will (9) play a trick on them. But this hardly ever happens. Most people give them candy of fruit.

1. Cho tam giác ABC có BC=3cm, trên tia đối tia AB lấy D sao cho AD=2AB, trên tia đối AC lấy E sao cho AE=2AC. Tính DE?

2. Cho tam giác ABC có AB= 12 cm. Trên cạnh AB lấy điểm D sao cho DB= 4cm. Kẻ DH và BK cùng vuông góc với AC tại H và K. Tính \(\dfrac{DH}{BK}\)

3. Cho tam giác MBC. Trên cạnh MB lấy điểm A sao cho MA= 2AB. Qua A vẽ đường thẳng song song với BC cắt MC tại D, biết AD= 18 cm. Tính BC?

4. Cho tam giác ABC. Điểm M trên cạnh BC sao cho MB= 2MC. Điểm N trên cạnh AC sao cho CA= 3CN.
a) Cm: AB= 3CN.
b) AM cắt BN tại G. Cm: GA = 3GM

5. Cho tam giác ABC, kép dài BA thêm 1 đoạn sao cho AE= \(\dfrac{1}{2}AB\); kéo dài CA thêm 1 đoạn sao cho AE= \(\dfrac{1}{2}AC\) Đường trung tuyến AI của tam giác ABC cắt DE tại K. Cm: K là trung điểm DE.

1. She used to live in the country when she was young

---> She often lived in the country when she was young.

2.He failed the exam because of his laziness.

--> Because he was lazy, he failed the exam.

a)

Nối AC.

Xét tam giác ACD có:

GC=GD (G là trung điểm CD)

HA= HD ( H là trung điểm AD)

=> HG là đường trung bình tam giác ACD.

=> HG//AC, \(HG=\dfrac{1}{2}AC\) (1)

Cm tương tự, ta có: EF là đường trung bình tam giác ABC.

=> EF//AC, \(EF=\dfrac{1}{2}AC\) (2)

Từ (1) và (2) => HG//EF, HG=EF => Tứ giác EFGH là hình bình hành (tứ giác có 2 cạnh đối song song và bằng nhau)

2) EF?

Xét tam giác ABC vuông tại A, có:

E là trung điểm BC

F là trung điểm AC

=> EF là đường trung bình tam giác ABC

=> EF = \(\dfrac{AB}{2}\)

EF= \(\dfrac{6}{2}\)

EF = 3 cm

b) Xét tam giác ABC vuông tại A.

Theo định lý Pytago, ta có:

\(BC^2=AB^2+AC^2\)

\(10^2=6^2+AC^2\)

\(\Rightarrow AC^2=10^2-6^2\)

\(\Rightarrow AC^2=64\)

\(\Rightarrow AC=\sqrt{64}=8\) cm

Diện tích tam giác ABC là:

\(S_{ABC}=\dfrac{1}{2}\cdot AB\cdot AC\)

\(S_{ABC}=\dfrac{1}{2}\cdot6\cdot8\)

\(\rightarrow S_{ABC}=24\) cm²

c) ABED là hình gì?

Xét tứ giác ABED có:

EF // AB ( Do EF là đường trung bình của tam giác ABC)

Mà: D đối xứng với E qua F (gt)

=> ED//AB (1)

Xét tứ giác ABED có:

\(AB=2EF\) ( Do EF là đường trung bình của tam giác ABC)

Mà: EF = FD (D đối xứng với E qua F (gt))

=> AB = EF + FD

=> AB = ED (2)

Từ (1) và (2) => ABED là hình bình hành (tứ giác có 2 cạnh đối song song và bằng nhau)

1. Nobody has told me about that.

I've never heard that before.

2. They have sold that old house.

That old house has been sold.

3. People think that your student broke the window.

It is thought that your student broke the window.

5. "Try to cut down on your drinking." I said to him.

I suggested to him that he try to cut down on his drinking.

B= \(x^2-4x+5\)

B= \(x^2-2.2x+1+4\)

B= \(\left(x-2\right)^2+1\ge1\)

Do \(\left(x-2\right)^2\ge0\)

=> \(\left(x-2\right)^2+1\ge0\)

Vậy GTNN của B là 1

Dấu "=" xảy ra khi \(\left(x-2\right)^2=0\)

\(x-2=0\)

\(x=2\)

Vậy GTNN của B là 1 khi và chỉ khi x=2

C= x² + x + 1

C= x² + 2x.​\(\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{3}{4}\)

C= \(\left(x-\dfrac{1}{2}\right)^2+\dfrac{3}{4}\) \(\ge\)\(\dfrac{3}{4}\)

Do \(\left(x-\dfrac{1}{2}\right)^2\ge0\)

=> \(\left(x-\dfrac{1}{2}\right)^2+\dfrac{3}{4}\ge0\)

Vậy GTNN của C là \(\dfrac{3}{4}\)

Dấu "=" xảy ra khi \(\left(x-\dfrac{1}{2}\right)^2=0\)

\(x-\dfrac{1}{2}=0\)

\(x=\dfrac{1}{2}\)

Vậy GTNN của C là \(\dfrac{3}{4}\)khi \(x=\dfrac{1}{2}\)

(.)

1. Why did Hoa go to school late this morning? ( hay Why was Hoa late for school this morning?)

2. Why do you have to do every day?

3. When will she be home?

4. Where did Lan live when she was young?

5. What did your mother give you on your 14th birthday?

6. How does Nam get to school?

7. What do you need to improve?

8. How was Nga's study this summer?

9. How long have you been studying English?

10. What's your best friend personality type? ( Which Personality Type Is Your Best Friend?​)