find the equation of the circle passing through the points (
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find the equation of the circle passing through the points (4 3) (-2 -5) and (5 2)
Find the equation of the circle passing through the points (4 3) (-2 -5) and (5 2).
我真的对这题完全没辙了.马上考试了.
Find the equation of the circle passing through the points (4 3) (-2 -5) and (5 2).
我真的对这题完全没辙了.马上考试了.
想要做圆方程,首先要找圆心
A(4,3) B(-2,-5) C(5,2)
过AC的直线为 y=-x+7 ,AC的中点为(4.5,2.5),则AC的中垂线为 y=x-2
过BC的直线为 y=x-3,BC的中点为(1.5,-1.5),则BC的中垂线为 y=-x
AC的中垂线与BC的中垂线的交点即为圆心
-x=x-2,解得x=1
(1,-1)即为圆心,半径为圆心到任意一点的距离,即为5
方程为 (x-1)^2+(y+1)^2=25
A(4,3) B(-2,-5) C(5,2)
过AC的直线为 y=-x+7 ,AC的中点为(4.5,2.5),则AC的中垂线为 y=x-2
过BC的直线为 y=x-3,BC的中点为(1.5,-1.5),则BC的中垂线为 y=-x
AC的中垂线与BC的中垂线的交点即为圆心
-x=x-2,解得x=1
(1,-1)即为圆心,半径为圆心到任意一点的距离,即为5
方程为 (x-1)^2+(y+1)^2=25
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