Based on a solving fixedpoint problem of an ellipse from the student angle, this paper introduces the method for solving the fixedpoint problem and makes summarization, generalizes the solution path from variant extension to definite value problem, in order to be conveniently solving the problems and set a question from teacher angle, consolidates the horizontal exploration for the fixedpoint and definite value problem of an ellipse and vertically studies hyperbola and parabola to form a class of problem templates.