Plant anatomy, what are these stem like filaments growing under the flower
These are "floral spurs" – they usually contain nectar, and are part of the variety of complex flower shapes that orchids and other flowers, like columbines, have co-evolved with their pollinators.

Essentially, in order for the pollinator to reach the nectar down in the base of the spur, it must move into a position where pollen is deposited onto it; then when it moves to another flower, it can transfer that pollen and the plant is able to reproduce.

Of course, long tongues are good at getting nectar from long-spurred flowers, so there is both species filtering for long-tongued species, and presumably also selective pressure within a species for long-tongued individuals. This, in turn, drives selective pressure on the spurs.

Spurs are a classic example of a "key innovation": they have evolved separately in different types of flowers, and when they evolve, they often lead to rapid speciation (because a small change in spur architecture can constitute a barrier to reproduction). (See, for example, publications of Scott Hodges)