根据题意，选择最佳答案，或者选取最合适的答案。

1. On Saturday afternoon, Mr. Green went to the market, ____ some bananas and visited his cousin.
   bought buying to buy buy
解析：从原题中的最后一个动作and visited可知，这是三个一连串的动作作谓语。
2. The murderer was brought in, with his hands ____ behind his back．
   being tied having tied to be tied tied
解析：在with结构中，hands与tie之间的关系是被动关系，故排除B项。tied不仅表示被动，还表示完成动作，故排除A、C项。
3. The speaker raised his voice but still couldn't make himself ____．
   hear to hear heating heard
解析：make oneself done是惯用法。在本题的意思是："使自己的声音被别人听到"。
4. She’s upstairs ____ letters．
   writes is writing write writing
解析：用现在分词作伴随状语。
5. The secretary worked late into the night, ____ a long speech for the president.
   to prepare preparing prepared was preparing
解析：用现在分词作伴随状语。A项是不定式，可做目的状语，但目的状语前不用逗号。C、D属语法错误。
6. Last summer I took a course on _______.
   how to make dress how dress be made how to be made dress how dress to be made
解析：疑问词how加不定式，可作介词的宾语。
7. She searched the top of the hill and stopped ____ on a big rock by the side of the path.
   to have rested resting to rest rest
解析：stop to do sth．=stop and do sth．是停下来所做的事而去做另一件事。stop doing是停止做某事。
8. Tom kept quiet about the accident ____ lose his job．
   so not as to so as not to so as to not not so as to
解析： so as to相当于in order to，它的否定式应放在不定式to之前。[注意]so as to不用于句首。
9. Most of the artists ____ to the party were from South Africa．
   invited to invite being invited had been invited
解析：原题were from South Africa可知，the party已开完。故用过去分词作后置定语，表示被动和完成。
10. ____ more attention ,the tree could have grown better．
    Given To give Giving Having given
解析：give与主句中的主语the tree之间有逻辑上的被动关系，且从主句看，考生应知，这是一个表示与过去事实相反的虚拟条件句。故该句相当于If the tree had been given more attention，the tree could have grown better．
11. She pretended ____ me when I passed by．
    not to see not seeing to not see having not seen
解析：pretend后只接不定式作宾语，且not应放在不定式to之前。
12. Do you know the boy ____ under the big tree?
    lay lain laying lying
解析：lying是现在分词作后置定语，相当于who is lying这样的定语从句。lie是不及物动词"躺"的意思。
13. --- Good morning．Can I help you? --- I'd like to have this package, madam．
    be weighed to be weighed to weigh weighed
解析：原题中的have只能理解成使役动词，故have sth．done是找人干某事。如果把have理解成"有"的意思，答语应改为I have a package to be weighed．
14. There was a terrible noise ____ the sudden burst of light．
    followed following to be followed being followed
解析： noise与follow之间是主动关系，故用现在分词following作后置定语，相当于一个定语从句which followed the sudden burst of light．
15. — What do you think of the book? — Oh, excellent．It' s worth ____ a second time．
    to read to be read reading being read
解析：be(well)worth doing是惯用法，其中doing是主动形式表示被动意思。
16. Go on ____ the other exercise after you have finished this one．
    to do doing with to be doing
解析：从原题中after you have finished this one和the other exercise这一信息句可知，A项表示继续做与原来不同的事。B、C项是表示继续做与原来相同的事。D项不符合语法。
17. Mother ____ us stories when we were young
    was used to tell is used to telling used to tell used to telling
解析：从原题中when we were young这一信息句可判断，应用used to/would表示过去常常。A项："被使用去做…"。B项："现在习惯于做…"。D项是语法错误。
18. She didn't remember ____ him before．
    having met have met to meet to having met
解析：从原题中的before这一信息词可暗示考生remember后接having done/doing/to have done等表示"记得做过了"。
19. The chair looks rather hard, but in fact, it is very comfortable to ____．
    sit sit on be sat be sat on
解析：sit与chair有逻辑上的动宾关系。sit是不及物动词，故需要介词on，且to sit on只能用主动表被动。"It is+adj+to do"为固定句式，用主动表被动。
20. They knew her very well．They had seen her ____ up from childhood．
    grow grew was growing to grow
解析：see是感官动词，后接不带to的动词不定式做宾语补足语，表示从小看到长大成人的全过程。