椭圆x^2/25+y^2/16=1上求一点,使它到右焦点的距离等于它到左焦点距离的2倍

c=√(a^2-b^2)=3,|PF1|+2|PF1|=2a=10,|PF1|=10/3,|PF2|=20/3,设P点坐标(x0,y0),(x0+3)^2+y0^2=(10/3)^2=100/9,.(1)(x0-3)^2+y0^2=(20/3)^2=400/9,.(2),(1)式-(2)式,12x0=-300/9,x0=-25/9,y0=±8√14/9.所求点P(-25/9...