Might I ask what you're doing here?

我可以问问你在这里做什么吗？

《柯林斯英汉双解大词典》

Might I ask for a photograph of you?

我能要一张你的照片吗？

youdao

Might I ask you dance?

我可以请你跳舞吗？

youdao

You might ask your brother, "Is it okay if I borrow your car? Or if someone asks you to do something, you might say,Okay,I will. Still,language experts do not agree about where the word came from.

VOA: special.2010.02.28

What I am talking about today, I will not be testing you, but maybe you might pay attention because about a month from now we will ask you a few skill testing questions about it.

我说的是今天，我等会不会测试你，但是你可能会重视了,因为一个月之前,我们问了你关于一些测试的技能。

麻省理工公开课 - 固态化学导论课程节选

Of course every reading that is online I don't expect you to go to the library is something I might ask about.

当然，我不期望你们去图书馆阅读,每一个在线的网上阅读,都是我会向你们提问到的。

耶鲁公开课 - 金融市场课程节选

When, might I ask, should we expect the same diligence concerning the shenanigans of the boys in the offices?

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And where, might I ask, was Microsoft?

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At a given meeting, I might only ask you to evaluate one or two breaths.

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