I think that teaching our kids emotional resilience is part of our job as parents. They need to know that everyone has ups and downs. learning to deal with those swings is a part of growing up.
Hormones definitely have a lot to do w/ it, but the realization that you're different from your friends is tough.
I have encouraged my 3 gifted kids (2 sons and a daughter) to figure out who they are, deep inside, and to stick to their principles when times get tough. This seems to really help when the tears are flowing. I remind them that being a really good version of themselves is more important than being a poor imitation of someone else (paraphrasing Judy Garland), and they are terrific just the way they are.
Love is the answer!