已知双曲线的中心在原点,焦点F1、F2在坐标轴上,离心率e=(根号6/)2且过点(4-根号6) (1)求此双曲线方程...

(1)、由题意得e=(根号6)/2=c/a ===>6/4=c^2/a^2 ===>a^2=(2c^2)/3 b^2=c^2-a^2=(c^2)/3 设焦点在x桌上x^2/a^2-y^2/b^2=1将点(4 6)代入得c^2=6 ===>a^2=4 b^2=2所以x^2/4-y^2/=1 设焦点在y桌上将点(4 6)代入得c^2=-23...