加拿大十年级数学题A triangle has vertices a P(-2,7) Q(-4,2)and R(6,-2)a)Find the circumcenter.b)Determine the radius of the circle.

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加拿大十年级数学题A triangle has vertices a P(-2,7) Q(-4,2)and R(6,-2)a)Find the circumcenter.b)Determine the radius of the circle.

加拿大十年级数学题A triangle has vertices a P(-2,7) Q(-4,2)and R(6,-2)a)Find the circumcenter.b)Determine the radius of the circle.
加拿大十年级数学题
A triangle has vertices a P(-2,7) Q(-4,2)and R(6,-2)
a)Find the circumcenter.
b)Determine the radius of the circle.

加拿大十年级数学题A triangle has vertices a P(-2,7) Q(-4,2)and R(6,-2)a)Find the circumcenter.b)Determine the radius of the circle.
列圆的方程 (x-a)^2+(y-b)^2=c^2 其中,(a,b)为圆心,c为半径
将P、Q、R三个点的坐标带入以上方程,得关于a,b,c的方程组
解方程组,可求得圆心(a,b),半径c

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