1.I was so tired that I fell asleep at the moment my head touched the pillow.
2002
解析：此题为五星级题。去掉at。 the moment 在此相当于as soon as ,the instant, immediately。译为“一……就……”,为连词; at the moment 是介词短语，意思是“此时此刻”。
e.g. At the moment I missed my teacher very much.
He recognized me the moment \ the instant\ immediately\ as soon as he saw me.
2.We must keep in mind that we play for the team instead ourselves.
