直线:x=t,y=1+2t,则直线方程为:y=2x+1;圆:ρ=2√2sin(θ+π/4)=2sinθ+2cosθ两边同乘ρ得:ρ2=2ρsinθ+2ρcosθ所以,圆的方程为:x2+y2=2y+2x,即:(x-1)2+(y-1)2=2圆心C(1,1)到直线y=2x+1的距离d=|2|/√5