Abstract: Two lines are skew in three-dimensional space and are satisfied with the
requirement as the base of two affine point ranges at the same time , the Quadric Surface then
formed by connecting the corresponding points is called Hyperbolic Paraboloid. With the help of
the orthographic projection method, the features of the graphically representative method of this
surface and the variation rule of the intersection line of this surface with a plane are discussed in
the paper.

Key words: affine point ranges, hyperbolic paraboloid, intersection line