tinh nhanh
(-2009-2009-2009-2009).(-25)
tinh nhanh 2009 x 7 + 2009 x 2 + 2009
2009 x 7 + 2009 x 2 + 2009
= 2009 x (7 + 2) + 2009
= 2009 x 9 + 2009
= 18081 + 2009
= 20090
hoặc : 2009 x 7 + 2009 x 2 + 2009
= 2009 x (7 + 2 + 1)
= 2009 x 10
= 20090
2009 x 7 + 2009 x 2 + 2009
= 2009 x 7 + 2009 x 2 + 2009 x 1
= 2009 x ( 7 + 2 + 1 )
= 2009 x 10
= 20090
nha
tinh nhanh B=1/1+2009/2011+2009/2010 + 1/1+2010/2009+2010/2011 + 1/1+2011/2009+2011/2010
Tính nhanh:
a,1/2009+2/2009+3/2009+......2008/2009
b,2010*2010*20092009-2009*2009*20102010/2009*20052005
a, \(\frac{1}{2009}+\frac{2}{2009}+...+\frac{2008}{2009}\\ \frac{\left(1+2008\right)\cdot2008\div2}{2009}=\frac{2017036}{2009}\)
so sánh A =\(\dfrac{2009^{2008}+1}{2009^{2009}+1}\)
B = \(\dfrac{2009^{2009}+1}{2009^{2010}+1}\)
Nhanh nha đang cần gấp
Giải:
Ta có:
A=20092008+1/20092009+1
2009A=20092009+2009/20092009+1
2009A=20092009+1+2008/20092009+1
2009A=20092009+1/20092009+1 + 2008/20092009+1
2009A=1+2008/20092009+1
Tương tự:
B=20092009+1/20092010+1
2009B=1+2008/20092010+1
Vì 2008/20092009+1 > 2008/20092010+1 nên 2009A>2009B
⇒A>B
tính nhanh A=2009/1.2+2009/2.3+2009/3.4+.............+2009/2008.2009
Tính nhanh:
A = 2009/1.2 + 2009/2.3 + 2009/3.4 + ... + 2009/2008.2009
a=2009(1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+.........+1/2008-1/2009)
=2009x2008/2009
=2008
a) 25 - y^2 = 8(x+2009)^2 \Leftrightarrow 8(x+2009)^2 + y^2 = 25
Do y^2 \geq 0 \Rightarrow (x+2009)^2 \leq 25/8
\Rightarrow x+2009 =0 hoặc 1
Nếu x+2009 = 1 \Rightarrow 25 - y^2 = 1\Rightarrow y^2 = 26 (không tìm được y)
Nếu x+2009 = \Rightarrow 25 - y^2 = 0\Rightarrow y^2 = 25, y=5
Vậy (x=0;y=5)
Tính nhanh
2008×2009+1000
2009×2009-1009
lấy máy tính ra mà tính
2008×2009+1000
2009×2009-1009
Tính nhanh (
\(\frac{2008\times2009+1000}{2009\times2009-1009}=\frac{2008\times2009+1000}{2008\times2009+2009-1009}=\frac{2008\times2009+1000}{2008\times2009+1000}=1\)