题目

In October 1961 at Crowley Field in Cincinnati Ohio an old deaf gentleman named William E. Hoy stood up to throw the first ball of the World Series. Most people at Crowley Field on that day probably did not remember Hoy because he had retired(退休) from professional baseball 58 years earlier in 1903. However he had been an outstanding player and the deaf people still talk about him and his years in baseball. William E. Hoy was born in Houckstown Ohio on May 23, 1862. He became deaf when he was two years old. He attended the Columbus Ohio School for the deaf. After graduation he started play如图，已知直线y=x与双曲线交于A，B两点，且点A的横坐标为4．（1）求k的值；（2）若双曲线上一点C的纵坐标为8，求△AOC的面积；（3）过原点O的另一条直线l交双曲线于P，Q两点（P点在第一象限），若由点A，B，P，Q为顶点组成的四边形面积为24，求点P的坐标．