I think I might be anorexic...?

I am a 14 year old girl (actually not 14 for 2 days but yeah), I am about 5'6 ish, (170 cm) and I weigh 49 kgs (108 lbs), I do at least one and a half hours exercise every day and I don't eat much. If I weigh myself before I eat dinner and I'm over 50 kgs, I won't eat dinner. I hate weighing any more than 50 kgs. I skip breakfast, I don't eat at school, when I get home I will occasionally have something, but not that often, and then my mum has to force food down my throat at dinner time. A few months ago I weighed about 52 kgs but I've lost a few kgs and I'm getting really skinny. My friends at school have started to notice it, and I am too. My hands are getting bony, my legs are getting thinner, my collarbone sticks out more than ever and if I lift up my shirt in the mirror I can sometimes see my ribs. I'm really worried!!! Am I anorexic? Please help.