文[1]给出了定义1 过球内接三角形一顶点且平行于球心与对边中点连线的直线称为三角形的伪高线.定理1 球内接三角形的三条伪高线交于一点(称为三角形的伪垂心),这点到顶点的距离是球心到对边中点距离的2倍.定理2 三角形的外接球心、重心和伪垂心三心共线(伪欧拉线,它在三角形所在平面的射影就是三角形的欧拉线),且外接球心到重心的距离与重心到伪垂心的距离之比为1:2.受到启发,我们有定义2 过三角形一顶点的伪高线与其外接球的 In [1], the pseudo-high line of a triangle is defined as a straight line that defines a vertex of the inscribed triangle of the ball and is parallel to the center of the center of the ball and the opposite side of the opposite side. Theorem 1 Three pseudo-high lines of triangles inscribed on the ball At a point (called a pseudo-vertex of a triangle), this point to the vertex is twice the distance from the center of the sphere to the midpoint of the opposite side. Theorem 2 The triangle’s circumscribed sphere, center of gravity, and pseudo-vertex are all three-colinear (pseudo-Eulerian lines). Its projection in the plane of the triangle is the Euler line of the triangle. The ratio of the distance from the center of gravity of the sphere to the center of gravity and the distance from the center of gravity to the pseudo-vertex is 1:2. Inspired, we have defined 2 pseudo-vertex-vertex High line and its external ball