Bai 1
( 1/2 - 1 ) . (1/3- 1) . ( 1/4 - 1 )....( 1/2012 - 1 ) . ( 1/2013 - 1)
Bai 2 Tim tap hop cac so nguyen x thoa man cac dieu kien sau
a) 7/2 . 5/12 - 1 < x < 23/3 ÷ 7/3 + 5/7
b) -2240/6 x + 3 ÷ 5/3 la so nguyen
Tìm tập hop cac so nguyen x thoa man cac dieu kien sau
a)7/2 . 5/12 - 1 < x < 23/3 ÷ 7/3 + 5/7
b)-2240/6 x + 3 ÷5/3 la so nguyen
Cau 1; cho\(\frac{x}{2}=\frac{y}{5}\)vaxy=90. So cap (x;y) thoa man la
Cau 2 : Cho a+d=b+c va \(a^2+d^2=b^2+c^2\)(b,d khac 0).Khi do 4 so lap thanh ti le thuc nao
Cau 3 :GTLN cua phan so \(\frac{7n-8}{2n-3}\)
Cau 4: Cho A=\(\frac{12}{x-15}\) dieu kien de 0<A<1 va A>1
Cau 5 ; tim x biet /-x-5//x=5=10
Cau 6: tap hop cac so nguyen cua x thoa man (3x^2-51)^2014=(-24)^2014
Cau 7: tap hop cac so thoa man /x-y/+/y+9/25/=0
bai 1
cho bieu thuc A = 5/n+1 voi N THUOC Z
a, de A la phan so thi n co dieu kien gi ?
b , tim tat ca cac gia tri nguyen cua n de gia tri A la 1 so nguyen ?
bai 2
cho bieu thuc M = 6/n-3 voi n thuoc Z .Co bao nhieu gia tri cua n de :
a, M ko phai la phan so
b , M la phan so va cp gia tri nguyen ?
bai 3 viet tap hop cacs so nguyen sao cho :
-12/4 < x <6/3
Bài 1:
a: Để A là phân số thì n+1<>0
hay n<>-1
b: Để A là số nguyên thì \(n+1\in\left\{1;-1;5;-5\right\}\)
hay \(n\in\left\{0;-2;4;-6\right\}\)
bai 1 tim cac so nguyen x,y biet
a,x/3=7/y b,x/y=-3/11 c,x/y-1=5/-19
bai 2 tim cac so nguyen x,y,z,t biet
12/-6=x/5=-y/3=z/-17=-t/-9
\(a,\frac{x}{3}=\frac{7}{y}\)
\(\Rightarrow x\cdot y=3\cdot7\)
\(\Rightarrow x\cdot y=21\)
\(\Rightarrow x;y\inƯ\left(21\right)=\left\{\pm1;\pm21;\pm3;\pm7\right\}\)
tim tap hop cac so nguyen biet rang:
4 5/9:2 5/18-7<x<(3 1/5:3,2+4,5.1 31/45):(-21 1/2)
Tap hop cac so nguyen x thoa man \(\frac{1}{2}-\left(\frac{1}{3}+\frac{3}{4}\right)
1.so cac so nguyen x thoa man x2014=x2
2. so cac so co 3 chu so chia 7 du 3
3.dieu kien de /x+5/+/-3+y/> 0
4. cho 20 diem phan biet , trong do co a diem thang hang. Qua hai diem ta ve duoc 1 duong thang . Tim a biet ve duoc 170 duong thang
5. nguoi ta viet cac so tu nhien lien tiep bat dau tu 1 den 2014 lien nhau thanh 1 so tu nhien A . hoi so tu nhien A co bao nhieu chu so
6. cho tong s =2+5+8+11+14+...+3002 . hoi so hang thu 101 cua tong
1/so cac so chan co cac chu so khac nhau lap tu cac chu so 1;2;3;4
2/so cac so nguyen thoa man /-12x+7/=40 la
3/tap hop cac so nguyen x thoa man /7-x/=/x+3/ la
2 nguoi nhanh nhat se duoc like
bai 1 tinh nhanh
a . 1/5x6 +1/6x7+ 1/7x8 + 1/8x9 +1/9x10
b . 1/1x2 + 1/2x3 + ....... + 1/99x100
c . 2/3x5 + 2/5x7 + 2/7x8 + 2/8x9
d . 2/3x5 + 2/5x7 + .......+ 2/98x100
bai 2 tinh hop li
9/13 + 14/6 + 1/9 + 4/6 + 7/13 + 17/19
bai 3 dien dau ( > , < , = )
a . 3/4 + 5/2 ....... 5/8 + 2 3/5 ( hon so )
B . 3 1/5 - 8/3 ......... 17/5 - 2 12/5 hon so
c . 2 4/9 + 18/7......... 22/9 + 2 4/7
giup mk nha cac ban , mai mk phai nop bai roi toi nay mk se lay y kien cua cac ban , giup mk nha
b1
a) \(\dfrac{1}{5.6}+\dfrac{1}{6.7}+\dfrac{1}{7.8}+\dfrac{1}{8.9}+\dfrac{1}{9.10}\)
\(=\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{10}\)
\(=\dfrac{1}{5}-\dfrac{1}{10}\)
\(=\dfrac{2}{10}-\dfrac{1}{10}\)
\(=\dfrac{1}{10}\)
b) \(\dfrac{1}{1.2}+\dfrac{1}{2.3}+...+\dfrac{1}{99.100}\)
\(=\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+...+\dfrac{1}{99}-\dfrac{1}{100}\)
\(=\dfrac{1}{1}-\dfrac{1}{100}\)
\(=\dfrac{99}{100}\)
c) \(\dfrac{2}{3.5}+\dfrac{2}{5.7}+\dfrac{2}{7.9}+\dfrac{2}{9.11}\)
\(=\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{11}\)
\(=\dfrac{1}{3}-\dfrac{1}{11}\)
\(=\dfrac{8}{33}\)
d) \(\dfrac{2}{3.5}+\dfrac{2}{5.7}+...+\dfrac{2}{99.101}\)
\(=\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+...+\dfrac{1}{99}-\dfrac{1}{101}\)
\(=\dfrac{1}{3}-\dfrac{1}{101}\)
\(=\dfrac{98}{303}\)