已知x=2011,y=2012,求代数式x-y/x÷(x-(2xy-y的平方/x))的值

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  • 已知x=2011,y=2012,求代数式x-y/x÷(x-(2xy-y的平方/x))的值

    (x-y)/x÷[x-(2xy-y的平方/x)]

    =(x-y)/x÷[(x²-2xy+y²)/x]

    =(x-y)/x÷[(x-y)²/x]

    =1/(x-y)

    =1/(2001-2012)

    =-1

    1.(y/6x平方)平方÷(-y平方/4x)平方

    =y²/36x^4÷(y²/16x²)

    =4/9x²

    2.4a/a平方-1+(1+a/1-a)-(1-a/1+a)

    =4a/(a²-1)-(1+a)/(a-1)+(a-1)/(a+1)

    =(4a-1-2a-a²-1+a²-2a+1)/(a²-1)

    =-1/(a²-1)

    =1/(1-a²)

    3.[a-b+(b平方/a+b)]x(a+b/a)

    =[(a²-b²+b²)/(a+b)]×(a+b)/a

    =a²/(a+b)*(a+b)/a

    =a

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