've
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It's important to bear in mind that the verb have has two distinct usages:
to express possession, as in I have a car.
to form the present perfect, as in I have seen that movie.
The contraction 've is used for the latter — to form the present perfect, and not to express possession. You may hear people say something like You've a beautiful smile in old movies and other dialects of English, but in modern American English, the only time we use 've to express possession* is in the expression You've no idea.
Incidentally, this is the only time we use the inverted form have you to question possession: Have you any idea how much this cost me? In every other case, we use the full forms you have and do you have.
____________*Note that to have got also expresses possession, but here got is considered a participle and is the part that expresses possession, not have.