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  • 已知a/b=c/d,求證:(3a+2c)/(3a-2c)=(3b+2d)/(3b-2d)

    已知a/b=c/d,求證:(3a+2c)/(3a-2c)=(3b+2d)/(3b-2d)
    數(shù)學(xué)人氣:851 ℃時(shí)間:2020-06-13 10:41:48
    優(yōu)質(zhì)解答
    ∵a/b=c/d,∴a/c=b/d,∴3a/(2c)=3b/(2d),∴3a/(2c)+1=3b/(2d)+1,
    ∴(3a+2c)/(2c)=(3b+2d)/(2d).······①
    ∵3a/(2c)=3b/(2d),∴3a/(2c)-1=3b/(2d)-1,
    ∴(3a-2c)/(2c)=(3b-2d)/(2d).······②
    ①÷②,得:(3a+2c)/(3a-2c)=(3b+2d)/(3b-2d).
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