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#edc26746-cf2f-4097-b896-a0321efe1e67中等fill_compute直线的方程直线与圆+圆锥曲线

22.已知PPQQ分别在直线l1:xy+1=0l_{1}:x-y+1=0与直线l2:xy1=0l_{2}:x-y-1=0上,且PQl1PQ\bot l_{1},点A(4,4)A(-4,4)B(4,0)B(4,0),则AP+PQ+QB\vert AP\vert +\vert PQ\vert +\vert QB\vert的最小值为 ___58+2\sqrt{58}+\sqrt{2}___.