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

Toán Lớp 7: So sánh c/d và a + e/b + f biết ad-bc=2; cf-de=2

Toán Lớp 7: So sánh c/d và a + e/b + f biết ad-bc=2; cf-de=2

Comments ( 2 )

  1. #huy
    Ta có:
    c/d=(c(b+f))/(d(b+f))=(bc+cf)/(bd+df)(1)
    (a+e)/(b+f)=(d(a+e))/(d(b+f))=(ad+de)/(bd+df)(2)
    mặt khác ta có:
    a-d-bc=2;cf-de=2
    =>ab-bc=cf-de=2
     =>ab-bc=cf-de
    =>ab+de=cf+bc
    =>(ad+de)/(bd+df)=(cf+bc)/(bd+df)(3)
    Từ (1)(2)(3) ta được 
    c/d=(a+e)/(b+f)

  2. Ta có: $\dfrac{c}{d}=\dfrac{c(b+f)}{d(b+f)}=\dfrac{bc+cf}{bd+df}(1)$ 
    $\dfrac{a+e}{b+f}=\dfrac{d(a+e)}{d(b+f)}=\dfrac{ad+de}{bd+df}(2)$
    Mặt khác: ad-bc=2 ; cf-de=2
    ->ad-bc=cf-de=2
    ->ad-bc=cf-de
    ->ad+de=cf+bc
    ->$\dfrac{ad+de}{bd+df}=\dfrac{cf+bc}{bd+df}(3)$
    Từ (1)(2)(3)-> $\dfrac{c}{d}=\dfrac{a+e}{b+f}$
    Chúc bạn học tốt !!!!!!!
     

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