The invention belongs to the technical field of education and teaching, and relates to a mathematical
paraboloid structure display method comprising the following steps: receiving
paraboloid parameters set by a user and coordinate
system origin offset; according to the received parameters and based on the received parameters, horizontal section planes are generated in the z-axis direction through layer-by-layer sectioning according to the step length, and an implicit solution set of an
algebraic equation on each
section plane is solved to obtain a quadratic curve contour; after stacking
processing is conducted along the z axis, a continuous smooth curved surface is generated, and a space grid model for generating a
paraboloid is obtained; and rendering the space grid model of the paraboloid to obtain a space geometric model, and by constructing a complete technical
system which takes algebraic parameters as drive, geometric generation as a core, multi-
modal interaction as support and mathematical preciseness as guarantee, realizing normal form transformation from static result display to a dynamic construction process. The generation logic and geometric characteristics of the paraboloid can be visually, accurately and interactively revealed, and the teaching
cognition effect is effectively improved.