这个问题我找不到解释， 希望哪位高手可以帮下 ^^

学生想说 I have a question, 常常会说成 "我有问题."

我会教他们用 “我有个问题” 或者 “我有一个问题。”

原因是听到 “我有问题”的时候， 我的第一联想就是 “我脑子有问题。" 可是我语法上面解释不来也查不到。

现在我自己都快糊涂了。 所以我想问：

1） “我有问题” 是正确的吗？ 我左看右看都觉得是错的。 可是百度上却有人怎么用。 求解释。

“我有问题” 可以用的情况下为：
我有问题想问你。
你有问题的话， 去问老板。 (不过这句话， 我个人还是比较喜欢用 “如果你有任何问题的话， 去问老板”）

2) 在百度上也常常看到 “你有问题吗？”， 如果我的话， 我会想用 “你有没有什么问题？”。 但是这句话只要不从贬义的角度来看的话， 是没有什么问题的。 你是怎么看待这句话的？

谢谢。

这问题也发表在 ChineseLanguage SE 上。

English version

"我有问题" vs "我有个问题" - Grammar explanation if possible?

I can't find an answer to this question, so I hope someone here will be able to help out ^^

Students often say, "我有问题" when they want to say "I have a question."

I will have them use "我有个问题" or "我有一个问题" instead.

The reason is because when I hear "我有问题", my immediate thought is "我脑子有问题" (I have some "mental" problems). But I can't explain this phrase in term of grammar, nor can I find an explanation online.

You know how sometimes when you keep on digging into the basic things, you end up confusing yourself? (Or maybe that is just me -_-). Anyways, now I am confused. So I want to ask:

1) "我有问题" is this correct at all? It sounds wrong no matter how I look at it. But, people use it on Baidu. Explain please?

Now, I know that "我有问题" is corrected (with no ambiguity) when used in the following sentences:

我有问题想问你。
你有问题的话， 去问老板。 ( Just a personal preference, I prefer to say “如果你有任何问题的话， 去问老板”）

2) I see a lot of "你有问题吗?" on Baidu. If it were me, I'd prefer to say "你有没有什么问题？“ But this sentence is fine with me as long as I don't view it from a negative perspective. What is your opinion on this?

Thank you.

Cross posted on ChineseLanguage SE.