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1引言三角形三边的中点,三条高的垂足,垂心与顶点的三条连线的中点,这九点共圆,这便是赫赫有名的九点圆定理。这圆被称为该三角形的九点圆。1996年,Jingcheng Tong and Sidney Kung研究了九点圆,先后在九点圆上发现了十五个新点,即三角形顶点与垂心连线的垂直平分线,与其该顶点对边的垂直平分线的交点,这三个交点在九点圆上~([1])。
1 INTRODUCTION The midpoint of the three sides of the triangle, the three high vertical feet, the midpoint of the three connections between the centripetal and the apex points to a total of nine circles. This is the famous nine-point circular theorem. This circle is called the nine-point circle of the triangle. In 1996, Jingcheng Tong and Sidney Kung studied the nine-point circle and found fifteen new points successively on the nine o’clock circle, namely the vertical bisector of the line connecting the vertex of the triangle and the vertical and the vertical bisector of the opposite side of the vertex Intersection, the three intersection at nine o’clock on the ~ ([1]).