Question

已知中心在原点,1、A2在X轴上,离心率e=根号21/3的双曲线过点p(6,6).(1)求双曲线方...

Answer 1

1) x^2/9 - y^2/12 =1 2)重心(2,2),设M(x1,y1),N(x2,y2),并设直线方程y-2=k(x-2),代入双曲线整理(4-3k^2)x^2-12k(1-k)x-12k^2+24k-48=0…①若G平分MN 则 x1+x2=12k(1-k)/(4-3k^2)=12,求得k值使①的△