已知双曲线c1:x^2/a^2-y^2/2a^2=1(a>1),抛物线c2的顶点在原点O,且c2的焦点是c1的右焦点.

问题描述:

已知双曲线c1:x^2/a^2-y^2/2a^2=1(a>1),抛物线c2的顶点在原点O,且c2的焦点是c1的右焦点.

你想求c2吧?
根据c1,右焦点为(√3a,0)
c2焦点为(p/2,0)
则p/2=√3a
p=2√3a,
c2:y^2=2px
即:
y^2=4√3ax