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数学
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当点P在圆X^2十y^2=1上变动时,它与定点Q(3,o)连线段pQ中点的轨迹方程是?
人气:173 ℃ 时间:2020-04-13 22:03:31
解答
设M(x,y),p(x1,y1)
则由中点坐标公式,x1=2x-3.y1=2y,
又因为p在圆上,所以(2x-3)^2+(2y)^2=1
所以M轨迹为:(x-1.5)^2+y^2=0.25 没有疑问请采纳为满意答案,谢谢。
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