may:used in various polite expressions with I
might:used to politely say something about someone or something
一:
MayI suggest that you consider the matter further before taking any action.
MightI just say how lovely it is to see everyone here today.
二:
MayI suggest that you think carefully before rushing into this?
MayI ask why you took that decision?
MayI suggest a better idea?
MightI ask how old you are?
[问]老师们一中的例句为何用句号。
[有关资料]（不同词义的回答，葛传椝英语惯使用方法词典：May I make asuggestion?里的 May I...?有“你允许我……么？”的意思，是请求他们赞同的一种客气语式。Might I...?比MayI...?更客气些。这两句在语法上是疑问句，所以末尾用问号，但由于事实上等于请求句，所以也可以用句号。）
不了解如何关闭没回答的提问, 只好再注册了。
顺便补充may关于祈使的词条：
»used to introduce a wish or a hope （表示祝愿或期望）祝，愿
Itis a fine tradition and long may it continue!
Longmay the Queen reign! [=I hope the Queen will reign for a long time]