已知离心率和一点怎样求双曲线

Question

已知离心率和一点怎样求双曲线

Answer 1

已知：x^2/a^2-y^2/b^2=1,e,(m,n) e=c/a c=ae b^2=c^2-a^2=(e^2-1)a^2b^2m^2-a^2n^2=a^2b^2(e^2-1)a^2m^2-a^2n^2=(e^2-1)a^4(e^2-1)a^4+[(e^2-1)m^2-n^2]a^2=0∴a^2=[(e^2-1)m^2-n^2]/(e^2-1),b^2=(e^2-1)m^2-n^2...