He lay on the bed,with his eyes fixed on the ceiling.

He lay on the bed,with his eyes fixed on the ceiling.
He lay on the bed,with his eyes looking at the ceiling.
一个用过去分词,一个用现在分词.是不是因为及物不及物的关系?
这种有关非谓语动词的题,常常是顾此失彼,请问做题的步骤是什么?