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Double sine line bar rod full function triangular function and plane geometry demonstrator

A technology of trigonometric functions and plane geometry, applied in instruments, educational tools, teaching models, etc., can solve problems such as unsatisfactory, difficult to implement, and large limitations, and achieve the effects of stimulating interest, simple structure, and improving teaching efficiency

Inactive Publication Date: 2006-01-04
吕锋
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  • Abstract
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  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

In order to improve the teaching effect, some teachers have to waste time and work before class to draw static pictures on the blackboard or paper that can only be used once, or repeatedly use multimedia to display illusory images, so that the advanced " Inquiry-based teaching methods are difficult to implement
In 2000, although my patent ZL00221729.5 "Almighty Trigonometric Function Demonstrator" can also enable teachers and students to carry out intuitive teaching with a small number of times only when teaching trigonometric functions, but in teaching trigonometric functions such as Sin (180°+α)=-Sinα and other important and difficult content, as well as the knowledge of plane geometry, still appear to be limited and not satisfactory

Method used

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  • Double sine line bar rod full function triangular function and plane geometry demonstrator

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Experimental program
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Embodiment Construction

[0014] Referring to Fig. 1, a plane Cartesian coordinate system is made on the base plate (1) in advance, the horizontal axis is XX′, the vertical axis is yy′, the intersection point of the two axes is O, and then the unit circle (6) is made with O as the center of the circle, and the unit The intersections of the circle with the horizontal axis and the vertical axis are A, A' and B, B' respectively. After passing through points A and B, respectively draw tangent lines AN and BZ representing the tangent and cotangent values, and then install an angle α end-edge bar (2 ), the length of the bar is greater than the diameter of the unit circle (6), and then two hinge points P(3) and P(7) are set symmetrically on the bar one length unit away from the center, and at the hinge point P , P′ each install a sinusoidal bar MM′ (4) and a sinusoidal bar M with the hinge fulcrum as the center, the upper and lower lengths are equal to one length unit, and parallel to the bottom plate (1). 1...

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Abstract

The triangular function and plane geometry demonstrator includes one base board with planar rectangular coordinate system and unit circle, one hinging point in the circle center, one angle end side rod with length greater than the diameter of the circle parallel to the base board and in the circle center, two hinging points set symmetrically on the angle end side rod, and two sine line rods separately on the two hinging points with unit length and parallel to the base board. When the angle end side rod is rotated, the demonstrator can show the varying triangular function values and other triangular function contents as well as most of plane geometry diagrams intuitively. The present invention may be used in replacing corresponding static diagram and may be used in relevant teaching.

Description

technical field [0001] The present invention provides an all-round trigonometric function and plane geometry demonstrator with double sinusoidal rods for teachers and students when implementing inquiry teaching methods for all trigonometric functions and plane geometry knowledge. Background technique [0002] For a long time, when teaching trigonometric functions and plane geometry in high school, technical secondary school and junior high school, due to the lack of a multi-functional physical demonstrator, teachers feel monotonous and boring when teaching, and students feel abstract and difficult to understand when listening to the class , easy to forget. In order to improve the teaching effect, some teachers have to waste time and work before class to draw static pictures on the blackboard or paper that can only be used once, or repeatedly use multimedia to display illusory images, so that the advanced " Inquiry-based teaching methods are difficult t...

Claims

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Application Information

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IPC IPC(8): G09B23/04
Inventor 吕锋
Owner 吕锋
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