x>0 y>0 2009x^2=2010y^22009/2010=y^2/x^2√2009x=√2010y√2009/√2010=y/x由已知√(2009x+2010y)=√2009+√2010,等式两边同除以√2010√[(2009x/2010)+y]=√(2009/2010)+1√[(y^2/x)+y]=y/x+1√[y(x+y)/x]=(x+y)/...