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

Toán Lớp 7: Cho : $\frac{a}{b}$ = $\frac{b}{c}$ = $\frac{c}{d}$. CMR: a = b = c.

Toán Lớp 7: Cho : $\frac{a}{b}$ = $\frac{b}{c}$ = $\frac{c}{d}$. CMR: a = b = c.

Comments ( 2 )

  1. frac{a}{b} = frac{b}{c} = frac{c}{d}
    => a = b = c (Tử)
    => b = c = d (Mẫu)
    Vậy a = b = c (đpcm).
     

  2. Áp dụng tính chất dãy tỉ số bằng nhau, ta có:
    $\frac{a}{b}$ =$\frac{b}{c}$= $\frac{c}{a}$= $\frac{a+b+c}{b+c+a}$ =1
    ⇒a=b.1=b
    b=c.1=c
    c=a.1=a
    ⇒a=b=c(đpcm)

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