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Cho \(\frac{a}{b}=\frac{c}{d}\) CMR: \(\frac{4a-2b}{5a+2b}=\frac{4c-2d}{5c+2d}\)
Cho tỉ lệ thức : \(\frac{a}{b}=\frac{c}{d}\)chứng tỏ rằng :\(\frac{3a^2+5b^2}{3c^2+5d^2}=\frac{2a^2+7ab}{2c^2+7cd}\)
cho ti le thuc \(\frac{a}{b}=\frac{c}{d}\). CMR : \(\frac{4a+6b}{5a-7b}=\frac{4c+6d}{5c-7d}\)
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 a2 = bc
CMR:
a,\(\frac{a+b}{a-b}=\frac{c+a}{c-a}\)
b,\(\frac{c}{2a-5c}=\frac{a}{2b-5a}\)
c,\(\frac{3a-7c}{2a+5c}=\frac{3b-7a}{2b+5a}\)
d,\(\frac{2a^2-c^2}{a^2+3c^2}=\frac{2b^2-a^2}{b^2+3a^2}\)
CMR Nếu \(\frac{a}{b}=\frac{c}{d}\)thì:
a)\(\left(\frac{a-b}{c-d}\right)^4=\frac{a^4+b^4}{c^4+d^4}\)
b)\(\frac{5a+3b}{5a-3b}=\frac{5c+3d}{5c-3d}\)
c)\(\frac{7a^2+3ab}{11a^2-8b^2}=\frac{7c^2+3cd}{11c^2-8d^2}\)
cho tỉ lệ thức :frac{2a+13b}{3a-7b}frac{2c+13d}{3c-7d}CMR frac{a}{b}frac{c}{d}cho tỉ lệ thức :frac{a}{b}frac{c}{d}CMRa)frac{5a+3b}{5a-3b}frac{5c+3d}{5c-3d}b)frac{7a^2+3ab}{11a^2-8b^2}frac{7c^2+3cd}{11c^2-8d^2}Cho dãy tỉ số :frac{bz-cy}{a}frac{cx-az}{b}frac{ay-bx}{c}CMR frac{x}{a}frac{y}{b}frac{z}{c}
Đọc tiếp
cho tỉ lệ thức :
\(\frac{2a+13b}{3a-7b}=\frac{2c+13d}{3c-7d}\)
CMR \(\frac{a}{b}=\frac{c}{d}\)
cho tỉ lệ thức :
\(\frac{a}{b}=\frac{c}{d}\)
CMR
a)\(\frac{5a+3b}{5a-3b}=\frac{5c+3d}{5c-3d}\)
b)\(\frac{7a^2+3ab}{11a^2-8b^2}=\frac{7c^2+3cd}{11c^2-8d^2}\)
Cho dãy tỉ số :\(\frac{bz-cy}{a}=\frac{cx-az}{b}=\frac{ay-bx}{c}\)
CMR \(\frac{x}{a}=\frac{y}{b}=\frac{z}{c}\)
cho tỉ lệ thức \(\frac{a}{b}\)=\(\frac{c}{d}\). CMR: a)\(\frac{4a+9b}{7a-6b}\)=\(\frac{4c+9d}{7c-6d}\)
b)\(\frac{\left(a+c\right)^2}{a^2-c^2}=\frac{\left(b+d\right)^2}{b^2-d^2}\)
\(Cho\)\(\frac{a}{b}=\frac{c}{d}.CMR:\)
a) \(\frac{5a+3b}{5a-3b}=\frac{5c+3d}{5c-3d}\)
b)\(\frac{7a^2+3ab}{11a^2-8b^2}=\frac{7c^2+3cd}{11c^2-8d^2}\)