设B点坐标为(xb,xb^2+3),P为(x0,y0)
则
2x0=xb+6
2y0=xb^2+3
由得xb=2x0-6,代入得
2y0=39-24 x0+4x0^2
化简得y0=2x0^2-12x0+39/2
所以P的轨迹方程为y=2x^2-12x+39/2
已知,线段AB,A(6,0),B点在曲线c y=x^2+3上移动,求AB中点P的轨迹方程
已知,线段AB,A(6,0),B点在曲线c y=x^2+3上移动,求AB中点P的轨迹方程
数学人气:169 ℃时间:2020-01-27 12:10:02
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