作业帮A-Maths problem
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A-Maths problem
A line segment PQ is 5 units long.The end point P moves along the x-axis while the end point Q moves along the y-axis.R is the point on PQ such that PR:RQ=2:3.Find the equation of the locus of R.
A line segment PQ is 5 units long.The end point P moves along the x-axis while the end point Q moves along the y-axis.R is the point on PQ such that PR:RQ=2:3.Find the equation of the locus of R.
设R坐标为（x,y）
则由题意可知：
P（5x/3,0）
Q（0,5y/2）
而由|PQ|=5
可知（5x/3）^2+(5y/2)^2=25
这就是动点R的方程,为一个椭圆.
则由题意可知：
P（5x/3,0）
Q（0,5y/2）
而由|PQ|=5
可知（5x/3）^2+(5y/2)^2=25
这就是动点R的方程,为一个椭圆.
A-Maths problem
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