Wow!Your chinese is so good!
Your thoughts is not wrong.
But there is a little difference.
「如何」有「怎麼」的意思 is right!
「任何」is closer 「anything」(In chinese is 「所有的事」 )
“有什麼問題就問我”也可以說“有任何問題就問我”is the same meaning.
2014年8月6日
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任何 means any.
For example:
任何一个苹果都是水果。 Any apples are fruits.
如何 means how.
For example:
你感觉如何 , How are you?
我们成为语言交流伙伴如何? How about you and me being partner ?