(Let me remind an old, but very fine scientific discussion of Dragon Muck
According to me, dragons are not gods, but are very close to them for the lowly mortals. They need not be misunderstood by the humanoids, because they are so powerful, old, mysterious and what not. Dragons are "simply" another sentient life-form. As large reptiles, they are much different from the small bipedal mammals. (As for anathomy, I imagine four legs, the fore-legs more capable of handling things... but that is my view.)
With all their great power, dragons are technologically inept, and neglect this part of civilisation. However impressive, their homes are just great holes, and they use hardly any tools, as if a dragon would need any, right? While humanoids are much weaker, and often simply fast-food, if well organised, they can be frustrating and spoil a nice day. Some dragons avoid them already, some hate them even more, with a meager respect for the nice toys they can create. Luckily for the twin-legs, dragons do not consider them a real threat for their race. Should this happen, humanoids would be exterminated. (But some think that dragons have an unknown agreement with the gods, humanoids being a part of it.)
As for intelligence, dragons have problems grasping technology, and can look stupid around it (there is a fairy-tale of a hungry dragon, and a smart woodsman, that traps him, and extorts for treasure). But they are far from naive. The greatest danger to any dragon in another dragon. It is for this reason, that most dragons are masters of manipulation, and often see through lies of lesser beings. Negotiation and intimidating is (besides combat) their primary weapon, and most humanoids are too weak of mind to effectively parley with them.And one more option:
Dragons are innately magical, and magic is a large part of their power. Looking at all those varying descriptions, what if they are able to influence the physical form of their young before hatching, so they are slightly different from their parent in a desired way? Who knows, maybe their wings were created in this way! Different dragon "families" may differ significantly, in shape as in size. Dragons as a race could be obsessed with physical perfection, striving to create the perfect being. It's genetic engineering, baby.
This goes nicely with a lonely, intolerant attitude to others, as one works on the great project. Dragon "society" is really an euphemism, most work for themselves only. Children are raised in great love, until the parent discovers the young one is far from perfect; some are killed, most have to live on their own from then on. The creation of the "true" child can possibly take hundreds of years of intense concentration, so no wonder they hate so much to be disturbed, or even woken up (maybe it is a kind of meditation on the proper form of the sibling?).
If there are dragon males and females, but the whole race started to produce their children through "cloning", they may have abandoned the Old Way of mating. It would be rare for a pair to come together, or even to have offspring. The stereotype of stealing beautiful high-ranking humanoid women may make sense now! The lonely dragon may simply desire female company, without the problems with a she-dragon. (Hmmm... now would the she-dragon kidnap a prince for herself?