1.If I ... my homework last night, I could hang out with my friends now

A.did B.had done C.would do D.were done

2.when you buy cheap clothes, you should ... in mind that they will soon wear out

A.put B.bear C.think D.take

3.his grandfather, who had ... years before, was in the painting which was hanging on the wall

A.handed down B.put down C.taken up D.passed away

4.she .. the office because her coat and bag are not here

A.should have left B.can't have left C.must have left D.may not have left

5.Suzy always goes to extra ... to achieve the best results

A. way B. distance C. mile D.place

6.lisa is going to .... ted up at the airport and bring him back to the houseA.bring B.put C.pick D.take

7.I am just going to make a quick call to check on the kids and ... sure that everything is OK
A.make B.take C.lay D.pay

8.He...a lot of money at a very early age, so he has never had to work.
A.turned into B.came into C.bumped into D.broke into

9.My son was ...for a full grant to study at a prestigious university. 

A.prevalent B.enormous C.decent D.eligible

10.I ... to work, but the weather was so nice that I decided to walk

A.needn't have driven B.can't have driven C.could have driven D.mustn't have driven      

tính giới hạn

1.\(\lim\limits\left(n^3+4n^2-1\right)\)

2.\(lim\dfrac{\left(n+1\right)\sqrt{n^2-n+1}}{3n^2+n}\)

3.\(lim\dfrac{1+2+....+n}{2n^2}\)

4.\(lim\dfrac{3^n-4.2^{n-1}-10}{7.2^n+4^n}\)

tìm giới hạn của dãy số

1.\(\lim\limits_{n->\infty}\left(\sqrt[3]{n^3+n^2+n+1}-n\right)\)

2.\(\lim\limits_{n->\infty}\left(\sqrt{n^2+n}-\sqrt{n^2-n+1}\right)\)

3.tìm a,b để \(\lim\limits_{n->\infty}\left(\sqrt{an^2+bn+2}-2n\right)=2\)

tính

a. \(\lim\limits_{n->+\infty}\left(\sqrt[3]{n^3+n^2+n+1}-n\right)\)

b.\(\lim\limits_{n->+\infty}\left(\sqrt{n^2+n}-\sqrt{n^2-n+1}\right)\)

tính

a.\(\lim\limits_{n->+\infty}\dfrac{n^5+n^2-n+2}{\left(2n^3-1\right)\left(n^2+n+1\right)}\)

b.\(\lim\limits_{n->+\infty}\dfrac{\sqrt{n^2-n+2}}{n+2}\)

c.\(\lim\limits_{n->+\infty}\dfrac{n-\sqrt[3]{n^2-n^3}}{n^2+n+1}\)

d.\(\lim\limits_{n->+\infty}\left(n-\sqrt{n^2+n+1}\right)\)

1.my brother wrote this essay,.........?

A.doesn't  he B.wasn't he C.didn't he D.isn't he

2.hillary clinto ...... her life to politics, spending years fighting for women's rights and equality

A.sent B.devoted C.promoted D.appreciated

3.if you want to fly during this festival season, you have to pay through the ......

A.nose B.head C.cost D.mouth

4.the first page has general information about the writer. .......... information is in the second and third page

A.other B.another C.the other D.others

5.I've become a footballer just like my brother. I really ... in his footsteps

A.kept B.followed C.caught D.viewed

1.Some of them want to go shopping and .... prefer to watching TV.
A. the other  B. others  C.the others  D. others

2.She .....jogging after his doctor advised him to get some exercises.

A . took on  B. took aback   C.took up  D. took off

3.He got 10 marks in the final test. No ...student has ever achieved that.

Cho hình chóp SABC. Gọi M,P,I lần lượt là trung điểm của AB, SC ,SB. Một mặt phẳng (\(\alpha\)) qua MP và song song với AC và cắt các cạnh SA,BC tại N,Q

a) Chứng minh: BC // (IMP).

b) Xác định thiết diện của (\(\alpha\)) với hình chóp. Thiết diện này là hình gì?

c) Tìm giao điểm của đường thang CN và mặt phẳng (SMQ)

Cho hình chóp SABCD có đáy ABCD là hình bình hành, M là trung điểm SA. điểm N thuộc đoạn SD sao cho NS=2ND, I là giao điểm của MN với AD.

a) Xác định giao tuyến của mặt phẳng (BMN) với mặt phẳng (ABCD).

b) Gọi J là giao điểm của CD với BI .Xác dinh giao tuyến của mặt phẳng (BMN) với  (SCD), từ đó suy ra thiết diện của hình chóp với mặt phẳng (BMM).

c) Gọi K là giao điểm của BI với AC. Chứng minh BM // KN