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cho ti le thuc \(\frac{a}{b}=\frac{c}{d}\) chung minh rang \(\frac{a+b}{a-b}=\frac{c+d}{c-d}\)
chung minh rang ty le thuc\(\frac{a}{b}\)=\(\frac{c}{d}\)(a-b khong =0,c-d khong =0) ta co the suy ra ti le thuc \(\frac{a+b}{a-b}\)=\(\frac{c+d}{c-d}\)
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cho ti le thuc \(\frac{a+b}{b+c}=\frac{c+d}{d+a}\)
chung minh rang |a| = |c| hoac |a+b| +|c=d|
ai lam nhanh nhat, dung nhat em tick choa
a/ Cho ti le thuc \(\frac{a}{b}=\frac{c}{d}\)
Chung minh: \(\frac{2a+5b}{3a-7b}=\frac{2c+5d}{3c-7d}\)
b/ Cho ti le thuc: \(\frac{x}{y}=\frac{m}{n}\)
Chung minh; \(\frac{5x+4y}{3x-6y}=\frac{5m+4n}{3m-6n}\)
Cho 4 so nguyen duong a,b,c,d ma trong do b la trung binh cong cua 2 so a va c.Chung minh rang 4 so a,b,c,d lap thanh mot ti le thuc neu \(\frac{2}{c}\)=\(\frac{1}{b}+\frac{1}{d}\)
CMR tu ti le thuc \(\frac{a+b}{a-b}\)=\(\frac{c+d}{c-d}\)khac 1 ta co ti le thuc \(\frac{a}{b}\)=\(\frac{c}{d}\)
CMR tu ti le thuc \(\frac{a+b}{a-b}\)=\(\frac{c+d}{c-d}\)khac 1 ta co ti le thuc \(\frac{a}{b}\)=\(\frac{c}{d}\)
Cho \(\frac{a}{b}=\frac{c}{d}\) Chung minh cac ti le thuc sau :
a) \(\frac{2a+c}{2b+d}=\frac{2a-c}{2b-d}\)
b) \(\frac{2a+3c}{a}=\frac{2b+3d}{b}\)
cho ti le thuc \(\frac{a}{b}=\frac{c}{d}\)chung minh:
\(\frac{5a+2c}{5b+2d}=\frac{a-4c}{b-4d}\)