BAI 1: TIM SO TU NHIEN N DE MOI CAP SO SAU LA SO NGUYEN TO:
A, 7N+13 VA 2N+4
B, 12N+5 VA 9N+4
BAI 2: TIM * DE (81**)CHIA HET CHO 6;7;13
PLEASE GIUP MK.........
bai 1:tim n thuoc n de:3(n+2) chia het cho n-2
bai 2chng minh rang cac so sau la cac so nguyen to cung nhau
a) 18n+3 va 21n+4
b)2n+1va3n+1
bai 3:tim hai so biet tong hai so la 90 va uoc chung lon nhat la 15
bai 4:tim so tu nhien n lon nhat co 3 chu so sao cho n :15 du 9va n:35 du 29
bai 5:tim uoc chung lon nhat cua cac so sau:
a)18n+3 va 21n+4
b)9n+13 va 3n+4
bai 6:chung minh: voi moi a,b thuoc nta co
UCLN(a,b)=UCLN (5a+2b,7a+3b)
AI DUNG TRUOC 9H MINH SE TICH CHO.THANHK YOU VERY MUCH!
bai 1
a, chung to rang 2n+5/n+3, ( n thuoc N ) la phan so toi gian
b, tim gia tri nguyen cua n de B= 2n+5/n+3 co gia tri la so nguyen
bai 2
tim so tu nhien nho nhat sao khi chia cho 3 du 1 cho 4 du 2 cho 5 du 3 cho 6 du 4 va chia het cho 11
\(a;\frac{2n+5}{n+3}\)
Gọi \(d\inƯC\left(2n+5;n+3\right)\Rightarrow3n+5⋮d;n+3⋮d\)
\(\Rightarrow2n+5⋮d\)và \(2\left(n+3\right)⋮d\)
\(\Rightarrow\left[\left(2n+6\right)-\left(2n+5\right)\right]⋮d\)
\(\Rightarrow1⋮d\Rightarrow d=1\)
Vậy \(\frac{2n+5}{n+3}\)là phân số tối giản
\(B=\frac{2n+5}{n+3}=\frac{2\left(n+3\right)+5-6}{n+3}=\frac{2\left(n+3\right)-1}{n+3}=2-\frac{1}{n+3}\)
Với \(B\in Z\)để n là số nguyên
\(\Rightarrow1⋮n+3\Rightarrow n+3\inƯ\left(1\right)=\left\{\pm1\right\}\)
\(\Rightarrow n\in\left\{-2;-4\right\}\)
Vậy.....................
a, \(\frac{2n+5}{n+3}\)Đặt \(2n+5;n+3=d\left(d\inℕ^∗\right)\)
\(2n+5⋮d\) ; \(n+3⋮d\Rightarrow2n+6\)
Suy ra : \(2n+5-2n-6⋮d\Rightarrow-1⋮d\Rightarrow d=1\)
Vậy tta có đpcm
b, \(B=\frac{2n+5}{n+3}=\frac{2\left(n+3\right)-1}{n+3}=\frac{-1}{n+3}=\frac{1}{-n-3}\)
hay \(-n-3\inƯ\left\{1\right\}=\left\{\pm1\right\}\)
-n - 3 | 1 | -1 |
n | -4 | -2 |
tim so tu nhien n de 2n+1 va 7n+2 la hai so nguyen to cung nhau
bai 5:
cho so n = 5+4b (a va b) la so tu nhien tim a+b de
a)n chia het cho 2
b)n chia het cho 5
c)n chia het cho 10
Bai 1: a)Tim so tu nhien a biet 1960va2002 chia cho a cung co so du la 28
b)Tim 2 sop tu nhien a va b , biet :BCNN(a,b)=300;UCLN(a,b)=15 va a+15=b
Bai 2:a)Tong sau la binh phuong so nao ?
S=1+3+5+7+...+199
b) Cho so ab va so ababab
1)chung to ababab la boi cua ab
2)So 3 va 10101 co phai la uoc cua ababab khong , vi sao?
Bai 3
a)Hay viet them dang sau so 664 ba chu so de nhan duoc sdo co 6 chu so chia het cho 5,9,11
b)Tim so nguyen x thuoc Z biet rang :
(x^2-1)(x^2-4)<0
Bai 4 :tim so nguyen x va y biet: xy-x+2y=3
tim x dua vao quan he uoc boi:
tim so tu nhien x sao cho x-1 la uoc cua 12
tim so tu nhien x sao cho 2x+1 la uoc cua 28
tim so tu nhien x sao cho x+15 la boi cua x+3
tim cac so nguyen x,y sao cho (x+1)(y-2)=3
tim so nguyen x sao cho(x+2).(y-1)=2
tim so nguyen to x vua la uoc cua 275 vua la uoc cua 180
tim so nguyen to x,y biet x+y=12 va UCLL (x:y)=5
tim so tu nhien x,y biet x+y=32 va UCLL (x:y)=8
tim so tu nhien x biet x chia het cho10; xchia het cho12; x chia het cho15 va 100<x<150
tim so x nho nhat khac 0b biet x chia het cho 24 va 30
40 chia het cho x . 56 chia het cho x va x>6
tim so tu nhien n sao cho 7n+13 va 2n+4 la nguyen to cung nhau
Bai1.Tim cac p/s bang p/s 34/51 va co mau la so tu nhien <16
Bai 2.Tim n thuoc z de 5/n-4la 1 so nguyen.
Bài 1 :
Ta có : \(\frac{34}{51}=\frac{2}{3}\)
Mà \(\frac{2}{3}=\frac{4}{6}=\frac{6}{9}=\frac{8}{12}=\frac{10}{15}=\frac{12}{18}=...\)
Vì các phân số thỏa mãn có mẫu nhỏ hơn 16
=> Các phân số thỏa mãn là \(\frac{2}{3};\frac{4}{6};\frac{6}{9};\frac{8}{12};\frac{10}{15}\)
Để \(\frac{5}{n-4}\) đạt giá trị nguyên
<=> \(5⋮n-4\)
=> n - 4 \(\in\) Ư(5) = { - 5 ; -1 ; 1 ; 5 }
Ta có bảng sau :
n-4 | -5 | -1 | 1 | 5 |
n | -1 | 3 | 5 | 9 |
Vậy x \(\in\) { - 1 ; -3 ; 5 ; 9 }
1.mot phep chia co thuong la 8 du 5.tim so bi chia va so chia biet tong cua chung la 158.
2.tim mot so co 2 chu so biet rang neu them so1 vao ben trai so do ta duoc so moi gap 6 lan so ban dau.
3.biet so tu nhien n chia cho 20 du 13 .can them vao n bao nhieu de duoc mot so chia het cho 20 va thuong tang them 4.