CONSIDERATION ON THE TEACHING MATERIALS OF HIGH SCHOOL MATHEMATICS. V : Geometric construction of the coefficients of quadratic function with graph passing some given points

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概要

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• Given a quadratic function, then a graph of this function is constructed as a geometric representation of the function. J. Metz [3] considered the converse problem and constructed geometrically the coefficients of quadratic function from the graph of quadratic function. In this paper, we consider this problem and for three given points satisfying certain condition, we construct the coefficients of quadratic function with graph C such that C passes through these three points using segments calculation by D. Hilbert, and consider related problems.

• 九州産業大学の論文

著者

• Yamaguti Kiyosi

  Kyushu Sangyo University

関連論文

• GEOMETRIC CONSTRUCTIONS OF IMAGINARY INTERSECTIONS OF THE GRAPH OF QUADRATIC FUNCTION PASSING THROUGH SOME GIVEN POINTS AND THE X-AXIS
• CONSIDERATION ON THE TEACHING MATERIALS OF HIGH SCHOOL MATHEMATICS. V : Geometric construction of the coefficients of quadratic function with graph passing some given points
• CONSIDERATION ON THE TEACHING MATERIALS OF HIGH SCHOOL MATHEMATICS. VIII : Variations of Solutions of a Quadratic Equation for Variation of One Coefficient
• CONSIDERATION ON THE TEACHING MATERIALS OF HIGH SCHOOL MATHEMATICS. VI : Geometric Construction of the Vertex of Parabola y=ax^2+bx+c for Varying a, b

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