CMR\(\frac{a+2009}{a-2009}=\frac{b+2010}{b-2010}thi\frac{a}{2009}=\frac{b}{2010}\)
\(B=\frac{2009-\frac{2009}{2001}-\frac{2009}{2002}-\frac{2009}{2003}-\frac{2009}{2004}}{2010-\frac{2010}{2001}-\frac{2010}{2002}-\frac{2010}{2003}-\frac{2010}{2004}}:\frac{2009-\frac{2009}{2005}-\frac{2009}{2006}-\frac{2009}{2007}-\frac{2009}{2008}}{2010-\frac{2010}{2005}-\frac{2010}{2006}-\frac{2010}{2007}-\frac{2010}{2008}}\)
minh lam duoc roi . cach viet phan so ban bam vao o mau vang o cuoi trang .cu di con chuot xuong cuoi trang thi thay 1 o vang , vao xem huong dan la biet ngay ma.
Cho \(\frac{2010\cdot c-2011\cdot b}{2009}=\frac{2011\cdot a-2009\cdot c}{2010}=\frac{2009\cdot b-2010\cdot c}{2011}\)
C/m \(\frac{a}{2009}=\frac{b}{2010}=\frac{c}{2011}\)
\(A=\frac{2010}{2009^2+1}+\frac{2010}{2009^2+2}+...+\frac{2010}{2009^2+2009}\)
CMR: A không phải là số nguyên dương?
Cho số A=2011; b khác 2009; c khác 2010 và \(\frac{a-2009}{b-2011}=\frac{b-2011}{c-2010}:\frac{2011-b}{2010-c}=\frac{2010-c}{2009-a}\)
Tìm tỉ số \(\frac{b}{c}\)?
\(\frac{b-2011}{c-2010}:\frac{2011-b}{2010-c}=\frac{b-2011}{c-2010}\cdot\frac{-\left(c-2010\right)}{-\left(b-2011\right)}=1\)
\(\frac{a-2009}{b-2011}=\frac{2010-c}{2009-a}=\frac{-\left(c-2010\right)}{-\left(a-2009\right)}=\frac{c-2010}{a-2009}=1\Rightarrow a-2009=c-2010=b-2011\)
\(\Rightarrow a=c-1=b-2\Rightarrow c=b-1\Rightarrow\frac{b}{c}=\frac{b}{b-1}\)=.=' ko chắc lăm
Thanks!!! Nhưng xin lỗi mặc dù phải là -1. Cảm ơn bạn
So sánh : A=\(\frac{2008}{2009}\)+\(\frac{2009}{2010}\)+\(\frac{2010}{2011}\)và B=\(\frac{2008+2009+2010}{2009+2010+2011}\)
\(B=\frac{2008+2009+2010}{2009+2010+2011}\)
\(=\frac{2008}{2009+2010+2011}+\frac{2009}{2009+2010+2011}+\frac{2010}{2009+2010+2011}\)
\(< \frac{2008}{2009}+\frac{2009}{2010}+\frac{2010}{2011}=A\)
\(B=\frac{2008+2009+2010}{2009+2010+2011}\)
\(=\frac{2008}{2009+2010+2011}=\frac{2009}{2009+2010+2011}=\frac{2010}{2009+2010+2011}\)
\(< A=\frac{2008}{2009}+\frac{2009}{2010}+\frac{2010}{2011}\)
Cho A = \(\frac{2010}{2009^2+1}\)+\(\frac{2010}{2009^2+2}\)+\(\frac{2010}{2009^2+3}\)+.........+\(\frac{2010}{2009^2+2009}\)
CMR : A không phải là số nguyên dương
Cho \(\frac{2010c-2011b}{2009}=\frac{2011a-2009c}{2010}=\frac{2009b-2010a}{2011}\)
CMR \(\frac{a}{2009}=\frac{b}{2010}=\frac{c}{2011}\)
Cho số a=2011; b khác 2009; c khác 2010 và \(\frac{a-2009}{b-2011}=\frac{b-2011}{c-2010}:\frac{2011-b}{2010-c}=\frac{2010-c}{2009-a}\)
Tìm tỉ số \(\frac{b}{c}\)?
Giúp tui zới!!!!
so sánh
A=\(\frac{2009^{2009}+1}{2009^{2010}+1}\)
B=\(\frac{2009^{2010}-2}{2009^{2010}-2}\)
do \(2009^{2009}-2< 2009^{2010}-2\Rightarrow B< 1\)
theo bài ra ta có:
\(B=\frac{2009^{2010}-2}{2009^{2011}-2}< \frac{2009^{2010}-2+2011}{2009^{2011}-2+2011}=\frac{2009^{2010}+2009}{2009^{2011}+2009}=\frac{2009\left(1+2009^{2009}\right)}{2009\left(1+2009^{2010}\right)}\)
\(=\frac{2009^{2009}+1}{2009^{2010}+1}=A\Rightarrow B< A\)
chúc bạn học tốt!!!
Ta có B có tử và mẫu bằng nhau=> B = 1
Vi 20092009<20092010=>20092009+1<20092010+1
Vậy A có từ< mẫu=>A<1
=>A<B
VẬy A<B
Kết bạn với mình nhé