【小题1】Lucy put the book on the desk and went away.（变一般疑问句）
Did go Lucy put the book on the desk and not any away?
【小题2】You’d better drink some cold water.(变否定句)
You’d better How often drink didn’t until cold water.
【小题3】Ann goes cycling twice a week.
give up does Ann goes cycling?
【小题4】He went to bed after his mother came back. (改为同义句)
He go to bed his mother came back.
【小题5】我必须要求他戒烟。（完成句子）
I must ask him to smoking.
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解析：
【小题1】Did go
【小题2】not any
【小题3】How often
【小题4】didn’t until
【小题5】give up
【小题1】结合下文went为过去时态，可知本句为过去时态的句子，故助动词需用did，并放置句首，同时went改为原形go，标点符号改为问号。
【小题2】考查you’d better 你最好做……。you’d是you had 的缩写，had是助动词，故not应加在you’d后面。Some只可用在肯定句或者希望得到肯定回答的疑问句中，本句中some要改为any。
【小题3】twice a week 一周两次，对频度的题文用how often。
【小题4】根据原句意思，她在母亲回来后去睡觉了。可知下文用not until句式。前文因为只有一空，可使用缩写形式，故填didn’t until。
【小题5】考查短语give up doing放弃做某事。