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Tangent-secant theory and inversion mapping demonstration instrument

A cutting line and demonstrator technology, which is applied in the direction of instruments, educational tools, teaching models, etc., can solve the problems that the instrument cannot demonstrate the cutting line theorem and compound function inversion mapping, etc., and achieve the effect of complete functions, simple operation and various functions

Inactive Publication Date: 2017-06-20
NANJING VOCATIONAL UNIV OF IND TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0004] The technical problem to be solved by the present invention is: aiming at the technical problem that the instrument in the prior art mentioned in the background technology cannot demonstrate the cutting line theorem and the inversion mapping of the composite function

Method used

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  • Tangent-secant theory and inversion mapping demonstration instrument
  • Tangent-secant theory and inversion mapping demonstration instrument
  • Tangent-secant theory and inversion mapping demonstration instrument

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Experimental program
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Embodiment

[0065] like Figure 1 to Figure 11 As shown, the cutting line theorem and inversion mapping demonstrator of the present invention, the device includes a vertical plate support 1, a circumferential track 2, a pipe shaft 3, a radial rod 4, a reflector 5, a right-angle shaft rod 6, a gearbox 7, Radial spotlight 8, long-range spotlight 9, connection system 10. Circumferential track 2, tube shaft 3 and gearbox 7 are respectively fixed on the vertical plate support 1, the two ends of the radial rod 4 are respectively connected with the tube shaft 6 and the circumferential track 2, and the center hole of the right-angle shaft rod 6 is connected to the tube shaft 3, the reflector 5 is installed on the outer end of the radial rod 4, the radial spotlight 8 is fixed on the tube shaft 3, and the two long-range spotlights 9 are fixed on the right-angle shaft rod 6 in reverse, the radial rod 4, The reflector 5, the right-angle shaft 6, and the gearbox 7 form a movement unity through a conn...

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Abstract

The invention discloses a cutting line theorem and inversion mapping demonstration instrument; the technical problem to be solved is to solve the technical problem that the instrument in the prior art mentioned in the background technology cannot demonstrate the cutting line theorem and the inversion mapping of composite functions. Technical solution adopted: a cutting line theorem and inversion mapping demonstrator, including vertical plate support, circular track, tube shaft, radial rod, reflector, right-angle shaft rod, gearbox, radial spotlight, long-range spotlight , Connect the system. This demonstration instrument has: simple operation, just push the handle on the device to perform demonstration; complete functions: it can demonstrate the theorem of the cutting line of the circle, the inversion mapping of the radial line, and can also be used to analyze the conclusions in the process of motion, especially in the limit state Accuracy; strong applicability: it can be demonstrated in a variety of occasions.

Description

technical field [0001] The invention relates to an inversion mapping demonstration device for expressing the tangent line theorem of a circle and a compound function. The secant of a unit circle is formed into a plurality of similar triangles through the mirror reflection of a moving point on the circumference, and the static triangle is obtained by using the ratio of side lengths. The results and the limit form formed under dynamic conditions are specifically a kind that can demonstrate the cutting line theorem at any point on the circle and the inversion relationship of any ray passing through the center of the circle with respect to the formation of the circle, especially using the synthesis principle of primary color light to simultaneously reflect Cutting line theorem and inversion mapping demonstrator of nonlinear change of three points. Background technique [0002] With technological progress and economic development, education increasingly needs advanced equipment t...

Claims

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Application Information

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IPC IPC(8): G09B23/04
CPCG09B23/04
Inventor 王书营
Owner NANJING VOCATIONAL UNIV OF IND TECH
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