Spiderman, Spiderman does whatever a spider can.

Really?

Male spiders use modified appendages called pedipalps to mate with females.
Spiders reproduce sexually, but males use an unusual method to transfer their sperm to a mate. The male first prepares a silk bed or web, onto which he deposits sperm. He then draws the sperm into his pedipalps, a pair of appendages near his mouth, and stores the semen in a sperm duct. Once he finds a mate, he inserts his pedipalp into her genital opening and releases his sperm.

Well, I've never seen that in the film.