Question

焦点为(2,0)(-2.0)且过点(-2,3)求双曲线标准方程

Answer 1

设方程是x^2/a^2-y^2/b^2=1

(-2,3)代入得:4/a^2-9/b^2=1

c=2.c^2=a^2+b^2=4

解得:a^2=1,b^2=3

即方程是:x^2-y^2/3=1