已知：|x-2|+|y-4|=0,

来源：学生作业帮编辑：百度作业网作业帮分类：数学作业时间：2024/05/05 08:23:35

已知：|x-2|+|y-4|=0,
求：1/xy+1/(x+2)(y+2)+1/（x+4)(y+4）+……+1/(x+2010)(y+2010).要简便运算.

|x-2|+|y-4|=0,绝对值≥0,说明|x-2|=0；|y-4|=0.所以X=2 Y=4
1/xy+1/(x+2)(y+2)+1/（x+4)(y+4）+……+1/(x+2010)(y+2010)
=1/2*4+1/(2+2)(4+2)+1/（2+4)(4+4）+……+1/(2+2010)(4+2010)=1/(2*4)+1/(4*6)+1/(4*6）+……+1/(2012*2014)
=1/2[(1/2-1/4)+(1/4-1/6)+……+(1/2012-1/2014)
]=1/2*(1/2-1/2014)
=503/2014
于22点21分50秒上传过程详细绝对原创!

已知x*x+4x+y*y-2y+5=0,则x*x+y*y=? 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+4y^2-4x+8y+8=0,求x+y 已知x²+4x+y²-2y+5=0,则x+y= 已知：x^2+y^2+4x-6y+13=0,求x^y值. 已知4x-2y=0,求x-y/3x+2y的值已知x²+4x+y-2y+5=0求x+2y 已知x²+y²-2x+4y+5=0,求x+y 已知x,y>0 2x+y+3=xy 求5x+4y最小值已知x^2+4y^2-4x+4y+5=0,求(y^4-x^4)/(y-2x)(x+y)*2x-y 已知3x^2+xy-2y^2=0,求{(x+y)/(x-y)+4xy/(y^2-x^2)}/{(x+3y)*(x-y)} 已知X.x+y.y-4x+2y+5=0,求4X.X-12X Y+9Y.y的值