长为3的线段AB的端点A,B分别在x,y轴上移动,动点C(x,y)满足 AC =2 CB

2025-12-04 21:06:00
推荐回答(1个)
回答1:

解析:动点C(x,y)满足
AC
=2
CB
,则B(0,
3
2
y),A(3x,0),
根据题意得9x 2 +
9
4
y 2 =9,即x 2 +
1
4
y 2 =1.
答案:x 2 +
y 2
4
=1