题目

The Cat in the Hat takes place on a cold, wet day with two kids awaiting their mother’s return. Instead of their mother, a strange cat enters the house. He begins balancing a fish bowl on the tip of his umbrella while balancing himself on a beach ball! The two kids and their pet fish worry and worry. But readers around the world laughed and laughed over the cat and the hat.        Theodore Seuss Geisel, known to fans as Dr. Seuss, wrote the book. It was first published in 1957. Geisel liked to have fun and make people laugh but he had a serious reason for writing the book. In 如图，正六边形ABCDEF，点M在AB边上，∠FMH＝120°，MH与六边形∠ABC外角的平分线BQ交于H点． (1)当点M不与点A、B重合时，求证：∠AFM＝∠BMH； (2)当点M在正六边形ABCDEF一边AB上运动(点M不与点B重合)时，猜想FM与MH的数量关系，并对猜想的结果加以证明．