Các câu hỏi tương tự
Cho frac{a}{b}frac{c}{d}. Chứng minh:a) frac{left(a-bright)^3}{left(c-dright)^3}frac{3a^2+2b^2}{3c^2+2d^2}b)frac{4a^4+5b^4}{4c^4+5d^4}frac{a^2b^2}{c^2d^2}c)left(frac{a-b}{c-d}right)^{2005}frac{2a^{2005}-b^{2005}}{2c^{2005}-d^{2005}}d)frac{2a^{2005}+5b^{2005}}{2c^{2005}+5d^{2005}}frac{left(a+bright)^{2005}}{left(c+dright)^{2005}}e)frac{left(20a^{2006}+11b^{2006}right)^{2007}}{left(20a^{2007}-11b^{2007}right)^{2006}}frac{left(20c^{2006}+11d^{2006}right)^{2007}}{left(20c^{2007}-11d^{2007}right)^{20...
Đọc tiếp
Cho \(\frac{a}{b}=\frac{c}{d}\). Chứng minh:
a) \(\frac{\left(a-b\right)^3}{\left(c-d\right)^3}=\frac{3a^2+2b^2}{3c^2+2d^2}\)
b)\(\frac{4a^4+5b^4}{4c^4+5d^4}=\frac{a^2b^2}{c^2d^2}\)
c)\(\left(\frac{a-b}{c-d}\right)^{2005}=\frac{2a^{2005}-b^{2005}}{2c^{2005}-d^{2005}}\)
d)\(\frac{2a^{2005}+5b^{2005}}{2c^{2005}+5d^{2005}}=\frac{\left(a+b\right)^{2005}}{\left(c+d\right)^{2005}}\)
e)\(\frac{\left(20a^{2006}+11b^{2006}\right)^{2007}}{\left(20a^{2007}-11b^{2007}\right)^{2006}}=\frac{\left(20c^{2006}+11d^{2006}\right)^{2007}}{\left(20c^{2007}-11d^{2007}\right)^{2006}}\)
f)\(\frac{\left(20a^{2007}-11c^{2007}\right)^{2006}}{\left(20a^{2006}+11c^{2006}\right)^{2007}}=\frac{\left(20b^{2007}-11d^{2007}\right)^{2006}}{\left(20b^{2006}+11d^{2006}\right)^{2007}}\)
1/3+1/6+...+2/x(x+1)=2005/2007
1/3+1/6+1/10...+2/x(x+1)=2005/2007
So sánh:
a) A=32008-32007+32006-32005+...+32-3+1 với \(\frac{1}{4}\)
So sánh:
a) A=32008-32007+32006-32005+...+32-3+1 với \(\frac{1}{4}\)
X-5/1+x-5/2+x-5/3+x-5/4=0
X-7/2005+x-6/2006=x-5/2007+x-4/2008
1)\(\frac{2.6^9-2^5.18^4}{2^2.6^8}\)
2)\(\frac{10^{2006}.7^{2007}}{2^{2005}.35^{2007}}\)
3)\(\frac{3^{186}.25^{50}}{15^{100}.27^{29}}\)
CHO a/b c/d . Chứng minh1) a2004- b2004 / a2004 + b2004 c2004- d2004 / c2004 + d20042) (a2004+ b 2004) 2005/(c2004+d2004) 2005 (a2005 - b 2005) 2004/ (c2005 - d2005) 20043) (20a2006 +11b2006) 2007 /(20a200711b2007) 2006 (20c2006+ 11d2006) 2007 / (20c2007- 11d 2007)2006
Đọc tiếp
CHO a/b = c/d . Chứng minh
1) a2004- b2004 / a2004 + b2004 = c2004- d2004 / c2004 + d2004
2) (a2004+ b 2004) 2005/(c2004+d2004) 2005 = (a2005 - b 2005) 2004/ (c2005 - d2005) 2004
3) (20a2006 +11b2006) 2007 /(20a200711b2007) 2006
= (20c2006+ 11d2006) 2007 / (20c2007- 11d 2007)2006
1.chứng minh rằng : 1^3+2^3+3^3+...+n^3 chia hết 1+2+3+...+n
2.tìm x , 1/3+1/6+...+2/x(x+1)=2005/2007