直线平分圆,则圆心(1,2)在直线上
所以a+2b-4=0
a+2b=4
1/a+2/b=1/4*4/a+1/2*4/b=1/4(a+2b)/a+1/2(a+2b)/b
=1/4+2b/a+1/2a/b+1
≥5/4+2√(2b/a*1/2a/b)=5/4+2=13/4
直线平分圆,则圆心(1,2)在直线上
所以a+2b-4=0
a+2b=4
1/a+2/b=1/4*4/a+1/2*4/b=1/4(a+2b)/a+1/2(a+2b)/b
=1/4+2b/a+1/2a/b+1
≥5/4+2√(2b/a*1/2a/b)=5/4+2=13/4