I. Combine the sentences. Use the words in brackets.

1. She has been nominated for Best Actress five times. She has never won once.(in spite of)

2. This is his first role. His acting is excellent.(nevertheless)

3. The film didn't receive good investment. The film was a great success.(despite)

1. Rewrite each of the following sentences so that it means the same:

1. My shirt is not as the same as yours. \(\Rightarrow\)Your shirt is different ________________________________________________.

2. She reads books in her free time. \(\Rightarrow\) Books ______________________________________________________________.

3. He started learning English 3 years ago. \(\Rightarrow\) He has _________________________________________________________.

4. Collecting stamps from foreign coutries is one of Mai's interests. \(\Rightarrow\) Mai is _____________________________________.

1.a) Tìm cặp số nguyên (x; y) thỏa mãn: |y+2015|+32=\(\frac{2016}{\left(2x-6\right)^2+63}\).

b) Cho các số thực dương a, b, c thỏa mãn \(b^2\)=ac. Chứng minh rằng: \(\frac{a}{c}\)=\(\frac{\left(a+2017b\right)^2}{\left(b+2017c\right)^2}\)

Cho \(\Delta\)ABC. Gọi M, N lần lượt là trung điểm của AC và AB. Trên tia đối của tia MB lấy điểm D sao cho MD=MB, trên tia đối của tia NC lấy điểm E sao cho NE=NC. Chứng minh rằng:

a) AD = BC và AD=AE

b)Ba điểm D, A, E thẳng hàng