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Eirian
Eirian

Eirian

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Eirian
Asked: Tháng Mười 23, 20202020-10-23T15:12:51+00:00 2020-10-23T15:12:51+00:00In: Môn Toán

a/b=b/c=c/a. Cm a=b=c

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a/b=b/c=c/a. Cm a=b=c

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    1. Dâu

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      Dau
      2020-10-23T15:14:19+00:00Added an answer on Tháng Mười 23, 2020 at 3:14 chiều

      -áp dụng tính chất ta có:

      +Đặt a/b​=b/c=c/a=k => a=bk, b=ck, c=ak. Do đó: abc=bk.ck.ak=abck^3.

      +Do a,b,c khác 0 => abc khác 0 => k^3=1.

      +Vậy k=1=>a=b=c.

      #Gitrang111

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      #how are you team

      @mong đc ctrlhn và 5sao ạ 

      @Tks bạn chủ tus nhìu 

       

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    2. Helga

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      Helga
      2020-10-23T15:14:28+00:00Added an answer on Tháng Mười 23, 2020 at 3:14 chiều

      Ta có: $\frac{a}{b}$ =$\frac{b}{c}$ =$\frac{c}{a}$

      *$\frac{a}{b}$ =$\frac{b}{c}$ ⇔a.c=b.b⇒a=c

      *$\frac{b}{c}$ =$\frac{c}{a}$ ⇔b.a=c.c⇒a=c

       từ đó ta có thể kết luận rằng a=b=c

       

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