Các câu hỏi tương tự
Cho tỉ lệ thức \(\frac{a}{b}=\frac{c}{d}\)Chứng minh:
a)\(\frac{\left(20a^{2006}+11b^{2006}\right)^{2007}}{\left(20a^{2007}-11b^{2007}\right)^{2006}^{ }}=\frac{\left(20c^{2006}+11d^{2006}\right)^{2007}}{\left(20c^{2007}-11d^{2007}\right)^{2006}}\)
b)\(\left(4a+5b\right)\left(7c-11d\right)=\left(7a-11b\right)\left(4c+5d\right)\)
Cho tỷ lệ thức \(\frac{a}{b}=\frac{c}{d}\). Chứng minh rằng:
\(\frac{4a+9b}{7a-6b}=\frac{4c+9d}{7c-6d}\)
Cho \(\frac{a}{b}\)= \(\frac{c}{d}\). Chứng minh:
a) \(\frac{a}{a+b}\)= \(\frac{c}{c+d}\)
b) \(\frac{4a+9b}{7a-6b}\)=\(\frac{4c+9d}{7c-6d}\)
Cho tỉ lệ thức \(\frac{a}{b}=\frac{c}{d}\), chứng minh rằng:
\(a.\frac{4a+9b}{7a-6b}=\frac{4c-9d}{7c-6d}\)
\(b.\frac{a^2}{b^2}=\frac{ac}{bd}=\frac{c^2}{d^2}\)
\(c.\frac{\left(a+c\right)^2}{a^2-c^2}=\frac{\left(b+d\right)^2}{b^2-d^2}\)
cho tỉ lệ thức \(\frac{a}{b}\)=\(\frac{c}{d}\). CMR: a)\(\frac{4a+9b}{7a-6b}\)=\(\frac{4c+9d}{7c-6d}\)
b)\(\frac{\left(a+c\right)^2}{a^2-c^2}=\frac{\left(b+d\right)^2}{b^2-d^2}\)
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)\(\frac{\left(20a^{2007}-11c^{2007}\right)^{2006}}{\left(20a^{2006}+11c^{2006}\right)^{2007}}=\frac{\left(20b^{2007}-11d^{2007}\right)^{2006}}{\left(20b^{2006}+11d^{2006}\right)^{2007}}\)
Cho \(\frac{a}{b}=\frac{c}{d}\).CMR:\(\frac{1111c-99d}{9999c-11d}=\frac{1111a-99b}{9999a-11b}\)
cho tỉ lệ thức: a/b=c/d. chứng minh
7a-11b/4a+5b=7c-11d/4c+5d
cho a/b = c/d cm
a,\(\left(\frac{a+b}{c+d}\right)^2=\frac{a^2+b^2}{c^2+d^2}\)
b,\(\frac{7a^2+3ab}{11a^2-8b^2}=\frac{7c^2+3cd}{11c^2-8d^2}\)