已知A(-2,0)、B(2,0),点C、点D满足|AC|=2,向量AD=1/2(向量AB+向量AC)
已知A(-2,0)、B(2,0),点C、点D满足|AC|=2,向量AD=1/2(向量AB+向量AC)
(1)求点D的轨迹方程
(2)过点A作直线l交以A、B为焦点的椭圆于M、N两点,线段MN的中点到y轴的距离为4/5,且直线l与点D的轨迹相切,求该椭圆的方程
.特别是第二题...好难吖.
(1)求点D的轨迹方程
(2)过点A作直线l交以A、B为焦点的椭圆于M、N两点,线段MN的中点到y轴的距离为4/5,且直线l与点D的轨迹相切,求该椭圆的方程
.特别是第二题...好难吖.
数学人气:135 ℃时间:2020-04-02 16:23:31
优质解答
设C(xc,yc),D(x,y),则向量AB=(4,0),向量AC=(xc+2,yc),向量AD=(x+2,y)∵|AC|=2∴C的轨迹方程为:(xc+2)²+yc²=4(1)∵向量AD=1/2(向量AB+向量AC)∴代数表达为:x+2=1/2(xc+2+4)y=1/2yc整理...
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