1. When I was young, I wanted to become a famous -------- and work with
all the top models in Paris and Milan.
A. computer programmer
B. fashion designer
C. shop assistant
D. electrical engineer
2. Can you fix my printer for me? My office is ------ the third floor. The
printer is ------- to my desk.
A. on/next B. in/opposite C. at/next D. on/on
3. They ------- billions of dollars in the last decade in order to build mines
and get the oil out of the ground.
A. spend B. have spent C. spent D. had spent
4. Can you help me to ----- some -----? There are clothes on the floor and
the dishes need washing.
A. make/house work B. do/homework C.
do/housework D. do/favour
5. We would like to recruit three people for the positions of sales
representative. Email info@hgmsales.com for a(an) ----------- form and
a full job description.
A. applicant B. contact details C. salary D.
application
6. The windows go transparent on buildings --------the sun shines brightly
and this will save on lighting bills.
A. who B. which C. where D. that
7. Jane: What social networking site are you using?
James: I’ve just ------ an account on Weibo. Facebook will be banned
in Vietnam, I guess.
A. searched B. subscribed C. uploaded D. set up
8. ------------ I get home, my cats usually ------ and rub their heads against
my feet.
A. When/come B. If/will come C. If/would come D.
When/would come
9. Peter: ---------------------------------
Tom: Just press the red button. You’ll see the screen appear right away.
A. What happens if I press this button?
B. How do you switch it on?
C. Why do you need to do that?
D. What is this for?
10. I don’t have a degree or anything like that, but I have learned lots of --
------ on the job.
A. qualifications B. timetable C. skills D. subjects
11. The school newsletter -------- until next week, so we don’t know the
new term dates.
A. doesn’t publish B. isn’t published C. will publish
D. will be published
12. A few years ago, the stone ---------- near to the old capital of an
ancient people called the Olmec.
A. discover B. discovered C. is discovered D. was
discovered
13. My family always ------------for celebrations and during the holidays.
A. get together B. pick up C. get along D. take away
14. Let me take your details and I’ll keep the place for you until the
weekend. -------, I’ll confirm it.
A. It’s very easy
B. After we’re received payment
C. To enrol
D. You can go online
15. The Outdoor Store can supply all your ----------- needs this summer
with high quality tents, cooking equipment and sleeping bags.
A. cruise B. catering C. camping D. sightseeing
16. Before I visited northern Norway, I --------- to many parts of the world,
including the southernmost point of Patagonia.
A. have been B. had been C. went D. have gone
17. On a clear day at the top, you get a spectacular view of the whole
mountain range. It has ----- views.
A. ancient B. unforgettable C. stunning D. legendary
18. Lots of people are ------- by the ride on rollercoasters at theme parks.
A. frightened B. frightening C. interested D. interesting
19. Engineers in the nineteenth century built these -------so barges could
carry goods on water from the factories to the cities.
A. canals B. tunnels C. subway station D. avenues
20. Passenger: Can you tell me --------------------------?
Ticket clerk: In about half an hour.
A. which train do I take to the city centre
B. which train I take to the city centre
C. what time does the next train leave
D. when the next train leaves
21. We ------------ take a holiday as a family because my parents were
always working.
A. usually B. used to C. didn’t used to D. didn’t use to
22. The archaeologists -------- this object was very important.
A. say B. said C. tell D. told
23. Go outside and do -------- interesting instead of watching TV all the
time.
A. something B. anything C. everyone D. somewhere
24. Unemployment, lack of education and crime are typical examples of --
------- problem.
A. economic B. natural C. social D. traditional
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) \(P\left(x\right)=x^5-2x^4+3x^2-x+2;Q\left(x\right)=x^4-2x^3+x-5\)
+, \(P\left(x\right)+Q\left(x\right)=\left(x^5-2x^4+3x^2-x+2\right)+\left(x^4-2x^3+x-5\right)\)
\(=x^5-2x^4+3x^2-x+2+x^4-2x^3+x-5\)
\(=x^5+\left(-2x^4+x^4\right)-2x^3+3x^2+\left(-x+x\right)+\left(2-5\right)\)
\(=x^5-x^4-2x^3+3x^2-3\)
+, \(P\left(x\right)-Q\left(x\right)=\left(x^5-2x^4+3x^2-x+2\right)-\left(x^4-2x^3+x-5\right)\)
\(=x^5-2x^4+3x^2-x+2-x^4+2x^3-x+5\)
\(=x^5+\left(-2x^4-x^4\right)+2x^3+3x^2+\left(-x-x\right)+\left(2+5\right)\)
\(=x^5-3x^4+2x^3+3x^2-2x+7\)
b) \(P\left(x\right)=x^4+3x^5-x^2-4;Q\left(x\right)=x^4-x^2-3x^3+x\)
+, \(P\left(x\right)+Q\left(x\right)=\left(x^4+3x^5-x^2-4\right)+\left(x^4-x^2-3x^3+x\right)\)
\(=x^4+3x^5-x^2-4+x^4-x^2-3x^3+x\)
\(=3x^5+\left(x^4+x^4\right)-3x^3+\left(-x^2-x^2\right)+x-4\)
\(=3x^5+2x^4-3x^3-2x^2+x-4\)
+, \(P\left(x\right)-Q\left(x\right)=\left(x^4+3x^5-x^2-4\right)-\left(x^4-x^2-3x^3+x\right)\)
\(=x^4+3x^5-x^2-4-x^4+x^2+3x^3-x\)
\(=3x^5+\left(x^4-x^4\right)+3x^3+\left(-x^2+x^2\right)-x-4\)
\(=3x^5+3x^3-x-4\)
\(\text{#}Toru\)
TK
1/2+5/6+11/12+19/20+29/30+41/42+55/56+71/72+89/90
1-1/2+1-1/6+1-1/12+1-1/20+1-1/30+1-1/42+1-1/56+1-1/72+1-1/90
9 – (1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90)
9 – [1/(1x2)+1/(2x3)+1/(3x4)+1/(4x5)+1/(5x6)+1/(6x7)+1/(7x8)+1/(8x9)+1/(9x10)]
9 – ( 1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10)
9 – (1 – 1/10) = 9 – 9/10 = 81/10
A = \(\dfrac{1}{2}\) + \(\dfrac{5}{6}\) + \(\dfrac{11}{12}\) + \(\dfrac{19}{20}\) + \(\dfrac{29}{30}\) + \(\dfrac{41}{42}\) + \(\dfrac{55}{56}\)
A = 1 - \(\dfrac{1}{2}\) + 1 - \(\dfrac{5}{6}\) + 1 - \(\dfrac{1}{12}\) + 1 - \(\dfrac{1}{20}\) + 1 - \(\dfrac{1}{30}\) + 1 - \(\dfrac{1}{42}\) + 1 - \(\dfrac{1}{56}\)
A 1 x 7 - (\(\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+\dfrac{1}{30}+\dfrac{1}{56}\))
A = 7- (\(\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{8}\))
A = 7 - (1 - \(\dfrac{1}{8}\))
A = 7 - \(\dfrac{7}{8}\)
A = \(\dfrac{49}{8}\)
Đây là dạng toán nâng cao chuyên đề giải phương trình nghiệm nguyên, cấu trúc thi chuyên, thi học sinh giỏi. Hôm nay Olm.vn sẽ hướng dẫn các em giải chi tiết dạng này bằng phương pháp bezout như sau.
\(x^2\) + \(x\) - \(xy\) = 3y + 5
\(x^2\) + \(x\) - 5 = 3y + \(xy\)
\(x^2\) + \(x\) - 5 = y.(3 + \(x\))
y = \(\dfrac{x^2+x-5}{3+x}\) (1); (đk \(x\) ≠ -3)
y \(\in\) Z ⇔ \(x^2\) + \(x\) - 5 ⋮ 3 + \(x\)
Theo bezout ta có:
\(x^2\) + \(x\) - 5 ⋮ 3 + \(x\)
⇔ (-3)2 + (-3) - 5 ⋮ 3 + \(x\)
⇔ 1 ⋮ 3 + \(x\)
3 + \(x\) \(\in\) Ư(1) = {-1; 1}
\(x\) \(\in\) {-4; -2}
Lập bảng ta có:
| \(x\) | - 4 | -2 |
| y = \(\dfrac{x^2+x-5}{3+x}\) | -7 | -3 |
Theo bảng trên ta có: (\(x;y\)) = (-4; -7); (-2; -3)
Vậy (\(x;y\)) = (-4; -7); (-2; -3)
Để khoảng cách từ vị trí của nhà Hà đến siêu thị, bệnh viện, trường học đều bằng nhau thì nhà Hà nằm ở vị trí D là giao điểm của ba đường trung trực của ∆ABC như hình vẽ.
Siêu thị, bệnh viện, trường học nằm ở ba vị trí là ba đỉnh của ∆ABC
Bạn thử code này nhé
program RENUM;
var
S: string;
frequency: array[0..9] of integer; // Mảng đếm số lần xuất hiện của các số từ 0 đến 9
maxFreq, maxNum, i, num: integer;
begin
// Khởi tạo tất cả các phần tử trong mảng đếm về 0
for i := 0 to 9 do
frequency[i] := 0;
// Nhập xâu ký tự S từ bàn phím
writeln('Nhap vao xau ky tu S: ');
readln(S);
// Đếm số lần xuất hiện của các số từ 0 đến 9 trong xâu S
for i := 1 to length(S) do
begin
if (S[i] >= '0') and (S[i] <= '9') then
begin
num := ord(S[i]) - ord('0');
frequency[num] := frequency[num] + 1;
end;
end;
// Tìm số có số lần xuất hiện nhiều nhất và nhỏ nhất
maxFreq := 0;
maxNum := 0;
for i := 0 to 9 do
begin
if frequency[i] > maxFreq then
begin
maxFreq := frequency[i];
maxNum := i;
end;
end;
// In ra số xuất hiện nhiều nhất
if maxFreq > 0 then
writeln('So xuat hien nhieu nhat la: ', maxNum)
else
writeln('Trong xau khong co so nao.');
readln;
end.
Picture 1
1 I want to go to the park.
2 Today is Friday.
3 I can see a plane.
4 I can read books.
Picture 2
1 I want to go to the beach.
2 Today is Sunday.
3 I can see a boat.
4 I can draw pictures
1. My name's Linh
2. I'm 11 years old
3. It's Monday.
4. I want to go to the zoo
Mong cô tick cho em ạ. Thank cô
My name is May
I'm eleven
It's Monday
I want go to the cinema.
1. When I was young, I wanted to become a famous -------- and work with
all the top models in Paris and Milan.
A. computer programmer
B. fashion designer
C. shop assistant
D. electrical engineer
2. Can you fix my printer for me? My office is ------ the third floor. The
printer is ------- to my desk.
A. on/next B. in/opposite C. at/next D. on/on
3. They ------- billions of dollars in the last decade in order to build mines
and get the oil out of the ground.
A. spend B. have spent C. spent D. had spent
4. Can you help me to ----- some -----? There are clothes on the floor and
the dishes need washing.
A. make/house work B. do/homework C.
do/housework D. do/favour
5. We would like to recruit three people for the positions of sales
representative. Email info@hgmsales.com for a(an) ----------- form and
a full job description.
A. applicant B. contact details C. salary D.
6. The windows go transparent on buildings --------the sun shines brightly
and this will save on lighting bills.
A. who B. which C. where D. that
7. Jane: What social networking site are you using?
James: I’ve just ------ an account on Weibo. Facebook will be banned
in Vietnam, I guess.
A. searched B. subscribed C. uploaded D. set up
8. ------------ I get home, my cats usually ------ and rub their heads against
my feet.
A. When/come B. If/will come C. If/would come D.
When/would come
9. Peter: ---------------------------------
Tom: Just press the red button. You’ll see the screen appear right away.
A. What happens if I press this button?
B. How do you switch it on?
C. Why do you need to do that?
D. What is this for?
10. I don’t have a degree or anything like that, but I have learned lots of --
------ on the job.
A. qualifications B. timetable C. skills D. subjects