题目

Every year migratory（迁徙的） bats travel from Mexico to Bracken Cave, where they spend the summer consuming insects that would otherwise hungrily eat common food crops. But the bats have been showing up far earlier than they did two decades ago.In a study, scientists at Rothamsted Research, used radar data from 160 U.S. weather stations to analyze activity in the Texas bat colony from 1995 through 2017. They discovered the creatures were leaving their winter quarters in Mexico earlier and reproducing sooner. They were also astonished to find increasing numbers of bats overwintering（已知双曲线的右焦点是F，右顶点是A，虚轴的上端点是B，，。 （1）求双曲线的方程； （2）设Q是双曲线上的一点，且过点F、Q的直线与轴交于点M，若，求直线的斜率。