已知双曲线的中心在原点,离心率为2,一个焦点F(-m,0)(m是正常数）(求双曲线方程

F(-m,0),所以c=m
e=c/a=m/a=2
a=m/2,a^2=1/4m^2
b^2=c^2-a^2=m^2-1/4m^2=3/4m^2
双曲线方程:x^2/a^2-y^2/b^2=1
x^2/(1/4m^2)-y^2/(3/4m^2)=1
4x^2/m^2-4y^2/3m^2=1