had better是情态动词吗？他的否定和疑问句如何构成？

是情态动词
hadn't better
had +主语＋better

Had better意为“最好”，后接不带to的不定式。如：
— We had better go now.
— Yes, we had (we'd better / we had better).
Hadn't we better stop now? (Had we better not stop now?)
I think I'd better be going. （用于进行时态，表“最好立即”）
You had better have done that. （用于完成时态，表未完成动作）
注：①had best与had better同意，但较少用。②You had better … 用于同辈或小辈，对长辈不可用。
3. Would rather意为“宁愿”，表选择，后接不带to的不定式。如：
I'd rather not say anything.
Would you rather work on a farm?
— Wouldn't you rather stay here?
— No, I would not. I'd rather go there.
由于would rather表选择，因而后可接than。如：
I would rather work on a farm than in a factory.
I would rather watch TV than go to see the film.
I would rather lose a dozen cherry trees than that you should tell me one lie.
I'd rather you didn't talk about this to anyone. （句中的'd rather不是情态动词，would在此是表愿望的实义动词）

(1)You are(be)