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在△ABC所在的平面内任取一点P,以点P为原点建立直角坐标系xPy,设顶点A、B、C的坐标分别为11(,)xy、22(,)xy、33(,)xy,则点123123(,)Qxxxyyy++++称为△ABC关于点P的1号心. 定理1设△ABC关于点P的1号心为Q,其重心为G,则Q、P、G三点共线,且QG 2GP=. 证明 应用同一法.取线段QP的
In the plane of △ABC any point P, take the point P as the origin to establish the rectangular coordinate system xPy, set the coordinates of the vertices A, B, C are 11 (,) xy, 22 (,) xy, 33 (,) Xy, then the point 123123 (,) Qxxxyyy++++ called △ ABC on the point P of the No. 1 heart. Theorem 1 set △ ABC on the point P of the No. 1 heart is Q, the center of gravity is G, then the Q, P, G three points total Line, and QG 2GP=. Prove that the same method is used. Take the line segment QP