已知动点M到点A(0,-1)与到点B(3,0)的距离之比为1/2,求动点M的轨迹方程
问题描述:
已知动点M到点A(0,-1)与到点B(3,0)的距离之比为1/2,求动点M的轨迹方程
答
设M(x,y)由题意得:AM/BM=1/2即:AM²/BM²=1/4即:BM²=4AM²AM²=x²+(y+1)²,BM²=(x-3)²+y²则:(x-3)²+y²=4x²+4(y+1)²整理得:3x²+3y²...