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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