题目如图,在△DEF\triangle DEF△DEF中,∠D=90∘\angle D=90^{\circ}∠D=90∘,DG:GE=1:3DG:GE=1:3DG:GE=1:3,GE=GFGE=GFGE=GF,QQQ是EFEFEF上一动点,过点QQQ作QM⊥DEQM\bot DEQM⊥DE于点MMM,QN⊥GFQN\bot GFQN⊥GF于点NNN,EF=46EF=4\sqrt{6}EF=46,则QM+QNQM+QNQM+QN的长是( )A.3\sqrt{3}3B.424\sqrt{2}42C.444D.232\sqrt{3}23知识点:切线的性质章节:图形的性质 / 圆