I think everyone who skis has felt the agony of quad burn, at one time or another.
Mostly, it seems to be caused to skiing too much in the backseat instead of leaning forward, the way you’re supposed to.
So what can you do about it?
First, work on your form. Keep your arms out in front, make sure you can feel your shins pressing lightly against the tongues of your boots, and look DOWN the mountain, instead of across.
And second, strengthen those quads. Squats, lunges, step exercises, weights — all these are good. Plus build up your core strength. That’ll help keep you centered over your skis and give you a quieter upper body, so you won’t sit back as much.