已知x^2+y^2-2x-4y+5=0,求1/xy+1/(x+1)(y+1)+1/(x+2)(y+2)+……1/（x+2009）（y+2009)

来源：学生作业帮助网编辑：作业帮时间：2024/07/07 11:18:33

x��P�j1��dbL�]3�)B�à�dW��t%⢸j]t��)D��/�&Dp-��sr�e��P�J4�Ɋ�L�N�wP� P��=A.�޾耪�1=jݭ� a0O_��q�U��l�h�fF'�Y��dвƤ��U��`�I��GE� �a�A'tA�L A!�H�� ~ ��>��"��Z��55(_��4��n~8��r��=t�ٍ��%�T

已知x^2+y^2-2x-4y+5=0,求1/xy+1/(x+1)(y+1)+1/(x+2)(y+2)+……1/（x+2009）（y+2009)
已知x^2+y^2-2x-4y+5=0,求1/xy+1/(x+1)(y+1)+1/(x+2)(y+2)+……1/（x+2009）（y+2009)

已知x^2+y^2-2x-4y+5=0,求1/xy+1/(x+1)(y+1)+1/(x+2)(y+2)+……1/（x+2009）（y+2009)
x^2+y^2-2x-4y+5=0
则(x-1)^2+(y-2)^2=0
x=1,y=2
原式＝1/(1*2)+1/(2*3)+.+1/(n*(n+1))+.+1/(2010*2011)
＝1/1-1/2+1/2-1/3+.+1/n-1/(n+1)+.+1/2009-1/2010+1/2010-1/2011
＝1-1/2011＝2010/2011

自己去算啊
找规律

已知x*x+4x+y*y-2y+5=0,则x*x+y*y=? 已知X.x+y.y-4x+2y+5=0,求4X.X-12X Y+9Y.y的值已知x^2+y^2-4x+2y+5=0则x^y=? 已知x^2+4x+y^2+2y+5=0,则x^y= 已知{x-y+2>=0,x+y-4>=0,2x-y-5 已知x-y+2>=0,x+y-4>=4,2x-y-5 已知4x^2+y^2-4x+4y+5=0,求x,y 已知x²+4x+y-2y+5=0求x+2y 已知x²+4x+y²-2y+5=0,则x+y= 已知x²+y²-2x+4y+5=0,求x+y 已知|5x-y-8|+(7y-x+2)=0则4x+6y 已知x,y>0 2x+y+3=xy 求5x+4y最小值已知x*x-4xy+4y*y=0 求[2x(x+y)-y(x+y)]/(4x*x-4xy+y*y)的值? 已知X^2+Y^2-2X-4Y+5=0,求分式Y/X-X/Y的值已知x²+y²-2x-4y+5=0,求分式y/x-x/y的值. 已知x、y满足x²+y²+2x-4y+5=0,求x、y的值已知x-y/x+y=3,求代数式5(x-y)/x+y-x+y/2(x-y) 已知x²+4y²-4x+4y+5=0,求：(x^4-y^4)/[(2x-y)(x+y)]*(2x-y)/(xy-y²)/[(x²+y²)²/y²]