Firstly, this project deduces the rotation of the simplest function – linear function, and makes rotation animation by using geometric Sketchpad software. Secondly, this project uses the exchange formula of polar coordinates and plane rectangular coordinates to deduce the general rotation formula of other basic elementary functions and quadratic curves, uses computer softwares to verify the derivation results, and makes the rotation animation of some curves under the representation of polar coordinates. Finally, starting from the definition of conic, this project proves the second expression of conic rotation by rotating several important points or lines closely related to conic (such as focus, directrix, etc.), and carries out drawing verification with softwares.