Quadratic curve gauge

Abstract

According to the quadratic curve gauge, the problem of wire twisting in the ellipse drawing process is ingeniously solved in a one-high-one-low wiring mode through a cylinder on a paintbrush; the drawing principle or the measuring tape principle is utilized to solve the problem that two sides stretch out and draw back simultaneously in hyperbolic curve drawing. A traditional blackboard drawing method of a circle is innovated; the circle center and the radius are flexibly and accurately changed; the drawing problem that the distance from a parabola definition midpoint to a fixed straight line and the distance from a point to a fixed point are equal everywhere is creatively solved through the telescopic rod principle. The instrument is a teaching tool used for manually drawing circles, ellipses, hyperbolic curves and parabolas, is simple in design, scientific, standard and convenient to use, and can intuitively reflect the definition of each quadratic curve, improve the teaching efficiency, enhance the learning interest and creative ability of students, intuitively display the definition and formation of each quadratic curve and enhance the practical application ability.

Description

Technical Field

[0001] The quadratic curve compass cleverly solves the problem of line twisting in ellipse drawing by using a cylindrical pen to create lines at varying heights; it solves the problem of simultaneously extending and retracting lines on both sides when drawing hyperbolas using the principles of wire drawing or measuring tape; it innovates the traditional blackboard drawing method for circles and addresses the problem of flexibly and accurately changing the center and radius; and it creatively solves the problem of drawing parabolas where the distance from a point to a fixed straight line is equal to the distance from a point to a fixed point everywhere, using the principle of a contraction rod. It is a teaching tool for manually drawing circles, ellipses, hyperbolas, and parabolas. Its simple, scientific, and user-friendly design intuitively demonstrates the definitions of various quadratic curves, improving teaching efficiency, enhancing students' learning interest and creativity, visually showcasing the definitions and formation of quadratic curves, and strengthening practical application skills. Background Technology

[0002] Conic sections are taught in mathematics courses for both regular high schools and vocational schools, and are also essential for applications in majors such as CNC machining. Teaching aids are crucial when teachers demonstrate the definition of conic sections graphically; however, there has long been a lack of simple, convenient, and intuitive drawing tools that can directly demonstrate the definition of conic sections. Although there are electronic drawing demonstrations, the process of drawing a conic section is more intuitive when done by hand, especially the key points, making it easier for students to understand the definition and grasp the formation process of the conic section. Summary of the Invention

[0003] Open the prepared teaching aids box (for carrying lesson plans, books, and other teaching materials), hang it on the blackboard (to be used as a small blackboard that can be repeatedly erased and rewritten), and utilize the high and low running lines and simple telescopic rods to fully demonstrate the definitions of various quadratic curves. By adjusting the distance between two fixed points (foci) on the small blackboard and the length of the lines, you can simultaneously draw the definitions of quadratic curves, circles, ellipses, hyperbolas, and parabolas. The structure is simple, the principle is scientific, and the operation is easy. The product has been repeatedly tested in teaching practice, proving its accurate drawing, ease of use, and excellent results.

[0004] In summary, the quadratic curve compass is a teaching tool for conveniently drawing circles, ellipses, hyperbolas, and parabolas manually. It is simple in design, scientifically standardized, and easy to use. It can intuitively demonstrate the definitions of various quadratic curves, cleverly solves the problem of line twisting in ellipse drawing by using high and low line guides; solves the problem of simultaneously extending and retracting lines on both sides in hyperbola drawing by utilizing the principle of wire pulling or measuring tape; innovates the traditional blackboard drawing method for circles; and creatively solves the problem of drawing the distance from the midpoint to the straight line in the definition of a parabola by using a shrinking rod. It improves teaching efficiency and enhances students' learning interest, creativity, and practical application abilities. Attached Figure Description

[0005] Appendix Figure 1 Teaching aids box, small blackboard Appendix Figure 2 Drawing an ellipse using high and low routing lines Appendix Figure 3 Drawing a hyperbola using the zipper principle Appendix Figure 4 Draw circles by flexibly changing the center and radius. Appendix Figure 5 Draw a parabola using a simple telescopic rod.

Claims

1. Quadratic curve gauge, is through the pen on the cylinder to achieve a high and low line way cleverly solve the problem of twisted line in the process of ellipse drawing; using the principle of wire drawing or tape measure to solve the problem of two sides of hyperbolic curve drawing line stretching at the same time; innovative traditional blackboard drawing method of circle and flexible and accurate change of center and radius; through the principle of shrinkable rod to creatively solve the problem of drawing the distance from the point to the straight line in the definition of parabola is equal to the distance from the point to the fixed point. It is a teaching tool for hand-drawing circle, ellipse, hyperbola and parabola. It is simple, scientific and easy to use, which can directly reflect the definition of each quadratic curve, improve teaching efficiency, enhance students' interest in learning and creativity, and directly show the definition and formation of each quadratic curve, and enhance practical application ability.

2. Quadratic curve gauge, is a teaching tool for hand-drawing circle, ellipse, hyperbola and parabola. It is simple, scientific and easy to use, which can directly reflect the definition of each quadratic curve, through high and low line cleverly solve the problem of twisted line in the process of ellipse drawing; using the principle of wire drawing or tape measure to solve the problem of two sides of hyperbolic curve drawing line stretching at the same time; innovative traditional blackboard drawing method of circle; through the principle of shrinkable rod to creatively solve the problem of drawing the distance from the point to the straight line in the definition of parabola. Improve teaching efficiency, enhance students' interest in learning and creativity, and practical application ability.

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