The phrase the apple doesn't fall far from the tree in my opinion means that your just like your parent's.The parent is the tree and you are the apple and you don't fall far from what your mom or dad...
This refers to character or inherent personality of a parent (or grandparent), either good or bad, which appear to be inherited by a child: eg. the mother is a generous person and a child (M or F)...
This originated exactly where it sounds like it did. The first people who noticed this truth were farmers with apple trees! Nowadays, we use this as an idiom which means that the children are going...