ai có đề toán nâng cao lớp 7 đăng lên cho mik với
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HB
11 tháng 5 2018
bạn xem trong sách nâng cao phát triển ý, có nhiều bài khó lắm
M
24 tháng 7 2018
NHÂN CÁC ĐA THỨC
1. Tính giá trị:
B = x15 - 8x14 + 8x13 - 8x2 + ... - 8x2 + 8x – 5 với x = 7
2. Cho ba số tự nhiên liên tiếp. Tích của hai số đầu nhỏ hơn tích của hai số sau là 50. Hỏi đã cho ba số nào?
3. Chứng minh rằng nếu: thì (x2 + y2 + z2) (a2 + b2 + c2) = (ax + by + cz)2
CÁC HẰNG ĐẲNG THỨC ĐÁNG NHỚ
1. Rút gọn các biểu thức sau:
a. A = 1002 - 992+ 982 - 972 + ... + 22 - 12
b. B = 3(22 + 1) (24 + 1) ... (264 + 1) + 12
c. C = (a + b + c)2 + (a + b - c)2 - 2(a + b)2
2. Chứng minh rằng:
a. a3 + b3 = (a + b)3 - 3ab (a + b)
b. a3 + b3 + c3 - 3abc = (a + b + c) (a2 + b2 c2 - ab - bc - ca)
Suy ra các kết quả:
i. Nếu a3 + b3 + c3 = 3abc thì a + b + c = 0 hoặc a = b = c
3. Tìm giá trị nhỏ nhất của các biểu thức
a. A = 4x2 + 4x + 11
b. B = (x - 1) (x + 2) (x + 3) (x + 6)
c. C = x2 - 2x + y2 - 4y + 7
4. Tìm giá trị lớn nhất của các biểu thức
a. A = 5 - 8x - x2
b. B = 5 - x2 + 2x - 4y2 - 4y
5. a. Cho a2 + b2 + c2 = ab + bc + ca chứng minh rằng a = b = c
b. Tìm a, b, c biết a2 - 2a + b2 + 4b + 4c2 - 4c + 6 = 0
6. Chứng minh rằng:
a. x2 + xy + y2 + 1 > 0 với mọi x, y
b. x2 + 4y2 + z2 - 2x - 6z + 8y + 15 > 0 Với mọi x, y, z
7. Chứng minh rằng:
x2 + 5y2 + 2x - 4xy - 10y + 14 > 0 với mọi x, y.
8. Tổng ba số bằng 9, tổng bình phương của chúng bằng 53. Tính tổng các tích của hai số trong ba số ấy.
9. Chứng minh tổng các lập phương của ba số nguyên liên tiếp thì chia hết cho 9.
10. Rút gọn biểu thức:
A = (3 + 1) (32 + 1) (34 + 1) ... (364 + 1)
11. a. Chứng minh rằng nếu mỗi số trong hai số nguyên là tổng các bình phương của hai số nguyên nào đó thì tích của chúng có thể viết dưới dạng tổng hai bình phương.
b. Chứng minh rằng tổng các bình phương của k số nguyên liên tiếp (k = 3, 4, 5) không là số chính phương.
PHÂN TÍCH ĐA THỨC THÀNH NHÂN TỬ
1. Phân tích đa thức thành nhân tử:
a. x2 - x - 6
b. x4 + 4x2 - 5
c. x3 - 19x - 30
2. Phân tích thành nhân tử:
a. A = ab(a - b) + b(b - c) + ca(c - a)
b. B = a(b2 - c2) + b(c2 - a2) + c(a2 - b2)
c. C = (a + b + c)3 - a3 - b3 - c3
3. Phân tích thành nhân tử:
a. (1 + x2)2 - 4x (1 - x2)
b. (x2 - 8)2 + 36
c. 81x4 + 4
d. x5 + x + 1
4. a. Chứng minh rằng: n5 - 5n3 + 4n chia hết cho 120 với mọi số nguyên n.
b. Chứng minh rằng: n3 - 3n2 - n + 3 chia hết cho 48 với mọi số lẻ n.
5. Phân tích các đa thức sau đây thành nhân tử
1. a3 - 7a - 6
2. a3 + 4a2 - 7a - 10
3. a(b + c)2 + b(c + a)2 + c(a + b)2 - 4abc
4. (a2 + a)2 + 4(a2 + a) - 12
5. (x2 + x + 1) (x2 + x + 2) - 12
6. x8 + x + 1
7. x10 + x5 + 1
6. Chứng minh rằng với mọi số tự nhiên lẻ n:
1. n2 + 4n + 8 chia hết cho 8
2. n3 + 3n2 - n - 3 chia hết cho 48
7. Tìm tất cả các số tự nhiên n để:
1. n4 + 4 là số nguyên tố
2. n1994 + n1993 + 1 là số nguyên tố
8. Tìm nghiệm nguyên của phương trình:
1. x + y = xy
2. p(x + y) = xy với p nguyên tố
3. 5xy - 2y2 - 2x2 + 2 = 0
NT
0
VT
13
MN
17 tháng 2 2016
Unit 1 - MY NEW SCHOOL
I. Find the word which has a different sound in part underlined.
1/
A. funny
B. lunch
C. sun
D. computer
2/
A. photo
B. going
C. brother
D. home
3/
A. school
B. teaching
C. chess
D. chalk
4/
A. cold
B. volleyball
C. telephone
D. open
5/
A. meat
B. reading
C. bread
D. seat
II. Match one word in A with one in B.
| A | B |
| do | basketball |
| play | a school uniform |
| study | homework |
| ride | vocabulary |
| wear | a bicycle |
III. Write positive and nagative sentences with the present simple or the present continuous.
Examples:
- Hoa / ride to school / every day (+)
Hoa rides to school every day.
- They / have breakfast / now (-)
They are not having breakfast now.
1/ My friends / go to school by bus. (-)
2/ The library / open at 7:30 AM. (+)
3/ Students / have a break / right now. (-)
4/ I / study English / at the moment. (+)
5/ Look! Our parents / wait outside. (+)
IV. Choose the best option (A, B or C) to each space.
1. Every morning, I always ...... to school at 6.30 and ...... home at about 11:30.
A. go; come
B. goes; comes
C. go; comes
2. While I ...... at school, my Mum ...... to the market.
A. study; go
B. am studying; is going
C. study; is going
3. At break time, I ...... to the library and ...... books.
A. read; go
B. goes; reads
C. go; read
4. I usually ...... to school by bike, and my mother ...... to work by motorbike.
A. go; go
B. goes; goes
C. go; goes
5. When I ...... books, I always ...... very happy.
A. read; feel
B. reads; feel
C. reads; feels
V. Find one odd word A, B, C or D. Then read them aloud.
1/
A. cantten
B. library
C. classroom
D. bedroom
2/
A. studying
B. singing
C. morning
D. listening
3/
A. father
B. nurse
C. engineer
D. teacher
4/
A. notebook
B. compass
C. basketball
D. schoolbag
5/
A. maths
B. Viet Nam
C. geography
D. English
VI. Put the verbs in brakets in the correct tense form.
1. School (finish) ......... at 4.30 p.m every day.
2. Listen! ......... they (sing) ......... in the classroom?
3. - Where ......... you (be) ......... , Phong?
- I'm upstairs. I (do) ......... my homework.
4. My family like (spend) ......... our summer holidays at the seaside.
5. It's warm today. I (not want) ......... (stay) ......... at home now. What about (go) ......... swimming in the river?
6. ......... you often (eat) ......... lunch in the school canteen?
VII. Put a word from the box in each space to complete the following passage.
library work students schoolyard name
love break beautiful understand forty
The ......... of my school is Luong The Vinh Secondary school. It is a ......... school. There are about eight hundred ......... and more than ......... teachers in my school. They ......... very hard so that we can ......... the lessons well. My school’s ......... is very big. You can see all kinds of books in it. We also have a very large and clean .......... Students play all kinds of games during their ......... time. My school is not big, but I ......... it very much.
VIII. Read the passage and then choose the best answer.
My name is Quang. I am in class 6A1 at Nguyen Du School. It is a small school on Nguyen Du street. My classroom is on the second floor. There are 40 students in my class. My form teacher is Miss Mai. She teaches us English. All of my classmates are really kind and hard-working. We always finish all homework at home. Every day, we start classes at seven o’clock and have a 20-minute break at thirty-five past eight. My school has a small schoolyard so the students usually stay in class or sit in the canteen at break time. After that, we are back to our room and finish class at half past eleven.
Choose the best answer:
1. Which floor is Quang's classroom in?
A. The first floor
B. The second floor
C. The third floor
2. What subject does Quang's form teacher teach?
A. English
B. Math
C. Literature
3. What is NOT true?
A. Quang's in grade 6
B. Quang's classmate are all nice
C. Quang's school is big
4. What time does Quang have break time?
A. At 8.30
B. At 8.35
C. At 8.20
5. What do the students usually do at break time?
A. Sit in the canteen
B. Stay in class
C. A and B
IX. Read the conversation and answer the questions.
Mr Green: Hey, Tom. How’s your first week at the new school?
Tom: It’s great. But I was a bit nervous at first.
Mr Green: Why were you nervous?
Tom: The teachers are all new to me, most of my classmate are new too.
Mr Green: Are they friendly to you?
Tom: Ah, yeah. They are all nice to me.
Mr Green: What subjects did you have today?
Tom: Well, we had maths, geography and computer studies, my favourite subject.
Mr Green: Oh, good. So everything is going well at school?
Tom: Right. I had a good first day. And… Dad, can I join the judo club at school? I like to do judo.
Mr Green: Yeah, Ok, if you like. But don’t forget to do your homework.
Tom: I won’t. Thanks, Dad.
Questions:
1. Why was Tom nervous at first?
2. What are Tom's teacher and friends like?
3. What is his favourite subject?
4. What club does he want to join?
5. Is Tom having a nice first week at his new school?
X. Choose the correct word A, B and C for each of the gaps to complete the following text.
What do you do if you want to ...(1)... a book in a library? If you know the author's ...(2)..., go to the author catalogue. Find the title of the book ...(3)... check the shelf mark. Make a note of this before you look ...(4)... the appropriate shelf. If you do not know the author's name, go to the ...(5)... catalogue. If there ...(6)... no title catalogue in the library, go to the subject catalogue. Check all the titles which are under the ...(7)... you want. Then check the appropriate card, as with the author catalogue. Next look for the book on the shelf. Let the librarian stamp it ...(8)... you take it out of the library. If the book isn't on the shelf, ask the librarian to get it for you.
1/
A. find
B. look
C. take
2/
A. address
B. title
C. name
3/
A. and
B. or
C. but
4/
A. at
B. after
C. for
5/
A. title
B. author
C. subject
6/
A. be
B. are
C. is
7/
A. subject
B. book
C. index
8/
A. after
B. before
C. when
HN
0