Q: Does "key" have the same meaning in the following two sentences?

The key to winning a game.

The key to solving this problem is persistence.

A: the same meaning

Q: Does "threat" have the same meaning in the following two sentences?

His threat to kill me was quite explicit.

Earthquakes are a constant threat in Japan.

A: different meanings

Q: Does "field" have the same meaning in the following two sentences?

He planted a field of wheat.

There were some cows grazing in a field.

A:
the same meaning