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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 7: cho $\frac{a}{b}$ =$\frac{c}{d}$ chứng minh $\frac{a}{3a+b}$ = $\frac{c}{3c+d}$

Toán Lớp 7: cho $\frac{a}{b}$ =$\frac{c}{d}$
chứng minh $\frac{a}{3a+b}$ = $\frac{c}{3c+d}$

Comments ( 2 )

  1. #huy
    C_1:
    a/b=c/d
    <=>ad=bc
    <=>ab+3ac=bc+3ac
    <=>a(d+3c)+c(b+3a)
    <=>a/(3a+b)=c/(3c+d)(đpcm)
    C_2:
    a/b=c/d
    =>a/c=b/d=(3a)/(3c)
    Áp dụng dãy tỉ số bằng nhau ta có:
    a/c=b/d=(3a)/(3c)=(3a+b)/(3c+b)
    =>a/c=(3a+b)/(3c+d)
    => a/(3a+b)=c/(3c+d)(đpcm)

  2. Ta có : a/b=c/d=>a/c=b/d=(3a)/(3c)
    Áp dụng tính chất dãy tỉ số bằng nhau, ta có :
    a/c=b/d=(3a)/(3c)=(3a+b)/(3c+d)
    =>a/c=(3a+b)/(3c+d)
    =>a/(3a+b)=c/(3c+d) \text{(đpcm)}
     

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222-9+11+12:2*14+14 = ? ( )

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