Rewrite: (So...that; Such...that)

1. She has such a good voice that we all like to here her sing.

-> Her...

2. His feet are so big that he has difficulty finding shoes to fit him.

-> He..

3. He is such a slow speaker that his students get very bored.

-> He...

4. It was too cold for us to go out.

-> It was so...

5. I am not such a fool!

-> I am not...

Transformation:

1. The truth only came out on the publication of the general's personal diaries.

-> Only when...

2. She didn't write to her parents until she found a job.

-> Not till...

3. They won't let you enter the retical hall until you have tickets.

-> Only when...

4. He forgot about the gun until he got home.

-> Not until...

5. The refugees continued to feel unsafe until they had crossed the border.

-> Not until...

6. We only dispatch goods after receiving the moeny.

-> Only when...

7. The telephone rang just after he left the room.

-> No sooner...

8. He got married as soon as he graduated from the college.

-> Hardly...

9. You won't find a school anywhere whose pupils get such results.

-> Nowher...

10. It was the most beautiful place I had ever visited.

-> Never before...

11. A cat sat on the TV.

-> On...

12. Love comes first, then marriage comes.

-> First...

13. She left so quickly that we didn't even realize she was gone.

-> So...

14. You should write dwn your thoughts in no circumstances.

-> Under...

15. If there had been more rain, our crop would have been better.

-> Had...

16. My baby daughter was beautiful beyond belief.

-> Beautiful...

17. The priceless Victorian desk was not lost among the old tables and chairs.

-> Lost...

18. She had no idea that he was unfaithful to her.

-> Little...

19. Immediately he returned from his run, he had to re-organise the morning schedule.

-> Scarcly...

Rewrite the sentence:

1. Advertising makes us buy and produce more things.

-> Advertising....

2. She regrets that she arrived home too late last night.

-> She regrets...

3. He finds it strange to stand on his head.

-> He is not...

4. Learning maths is neccessary for us.

-> We find ...

5. John plays tennis well.

-> John is...

-> John is...

6. George is not so active a he was.

-> George used...

7. It's time I had a haircut.

-> It's time for...

8. They forced him to work hard.

-> They made...

-> He ...

9. The garden still needs to be waterd.

-> The garden still needs...

10. The film star wore dark glasses so that no one would recognize her.

-> The film star avoid...

11. They managed to put out the fire.

-They were...

12. For animal protection, the government has passed a special decree.

-> ... animals, the government has passed a special decree.

13. You have written to me. Thank you.

-> Thank you...

14. As for me, staying up late is rather difficult.

-> I find...

15. I won't go with you. My father doesn't let me.

-> My father doesn't let ...

-> My father doesn't permit...

16. She cried bitterly because of the news.

-> The news...

17. "Let's buy them this picture as a wedding present."

-> I suggest...

18. We couldn't drive fast because of the fog.

-> The fog prevented...

Cho C là một điểm nằm trên đoạn thẳng AB \(\left(C\ne A,C\ne B\right)\). Trên cùng một nửa mặt phẳng bờ là đường thẳng AB kẻ 2 tia Ax, By cùng vuông góc với AB. Trên tia Ax lấy điểm I khác A, tia vuông góc với CI tại C cắt tia By tại K. Đường tròn đường kính IC cắt tia IK tại P.

a. CMR: Tứ giác CPKB nội tiếp được đường tròn. Xác định tâm đường tròn đó.

b. CMR: AI . BK = AC . BC

c. CMR: Tam giác APB vuông.

d. Cho A, B, I cố định. Tìm vị trí điểm C để diện tích tứ giác ABKI đạt giá trị lớn nhất.

Tính giá trị biểu thức: \(Q=\sqrt{\sqrt{2}+2\sqrt{\sqrt{2}-1}}+\sqrt{\sqrt{2}-2\sqrt{\sqrt{2}-1}}\)

Tính giá trị biểu thức: \(P=\frac{y\sqrt{x}+\sqrt{x}+x\sqrt{y}+\sqrt{y}}{\sqrt{xy}+1}\) (x, y > 0)

Cho hệ phương trình: \(\left\{{}\begin{matrix}x-3y=0\\\left(a-1\right)x-3y=2\end{matrix}\right.\) (với a là tham số).

Tìm giá trị của a để hệ có nghiệm (x ; y) với x, y > 0.

Giải phương trình: \(x^2-2x-7+3\sqrt{\left(x+1\right)\left(x-3\right)}=0\)