如图所示，从双曲线－＝1(a>0，b>0)的左焦点F引圆x²＋y²＝a²的切线，切点为T，延长FT交双曲线右支于P点，若M为线段FP的中点，O为坐标原点，则|MO|－|MT|与b－a的大小关系为   (　　)

根据短文理解, 从A、B、C、D四个选项中选择最佳答案填空。

    Lucy and Lily 1 twins. They are twelve. They 2 a big and nice bedroom. There 3 two beds and two desks in the room. Lucy and Lily like milk and bread, but they 4 tea or meat. You can see some bottles of milk and some bread on 5 desks. But you can't see 6 tea or meat in the room. Lucy and Lily can play 7 football and fly kites. But they can't mend a bike 8 a radio. They are good 9. They 10 very much.