1. He would always ignore the fact of such a contradiction in his inner thought.

　　A. there to be B. there being C. it being D. there having been

　　2. A convenient way is to set the food on a piece of aluminum oil, to the air for half an hour, and then cover it with a dish.

　　A. let it stay open B. let it stayed open

　　C. letting it stay open D. letting it stay opened

　　3. They us willingly but that they happened to be short of hands, too.

　　A. would help B. would have helped

　　C. were going to help D. must have helped

　　4. Research findings show that we spend about two hours dreaming every night,no matter what we during the day.

　　A. should have done B. would have done

　　C. may have done D. must have done

　　5. If you are to catch a train, it is always better to be comfortably early than even a fraction of a minute late.

　　A. too B. very C. much D. rather

　　1. Bthere being 做介詞of 的賓語，如果是介詞for，則用there to be。

　　2. C分詞短語做伴隨狀語，形容詞open在分詞短語中做補語，表示狀態(tài)，不用過去分詞，所以D不正確。

　　3. B此句是含蓄虛擬語氣句，暗含的假設(shè)條件為：if they hadn’t happened to be short of hands。故應(yīng)選B。

　　4. Cmay have done“(不管我們白天)可能做了些什么”，符合句意。should have done“本該做(但實際未做)”;would have done表示與過去相反的假設(shè);must have done是對已發(fā)生的情況作肯定推測。

　　5. A句中too late相當(dāng)于too late to catch the train，所以選其他詞不合適。