CN203490864U - Function image demonstrating instrument - Google Patents
Function image demonstrating instrument Download PDFInfo
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- CN203490864U CN203490864U CN201320636817.9U CN201320636817U CN203490864U CN 203490864 U CN203490864 U CN 203490864U CN 201320636817 U CN201320636817 U CN 201320636817U CN 203490864 U CN203490864 U CN 203490864U
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Abstract
The utility model discloses a function image demonstrating instrument comprising a rectangular iron plate. One face of the iron plate is provided with grid lines and a rectangular coordinate system. The function image demonstrating instrument further comprises a plurality of linear function graphic models, a plurality of quadratic function graphic models and a plurality of inverse proportional function graphic models. The front faces of the linear function graphic models, the front faces of the quadratic function graphic models and the front faces of the inverse proportional function graphic models are coated with color; and a plurality of button magnets are pasted on the back faces of the linear function graphic models, the back faces of the quadratic function graphic models and the back faces of the inverse proportional function graphic models. An upper end of the iron plate is provided with a hanging ring. The function image demonstrating instrument is advantageous in that: (1) the function image demonstrating instrument is simple in manufacture, low in cost and easy to operate; (2) the manufactured function image demonstrating instrument can help students know and learn about functions more visually, and can understand the linear function graphic models, the quadratic function graphic models and the inverse proportional function graphic models more profoundly; and (3) the upper end of the iron plate is provided with the hanging ring, so hanging is convenient.
Description
Technical field
The utility model relates to a kind of teaching technique with the apparatus field, particularly a kind of functional image demonstrator.
Background technology
At present, at Junior, student has learnt and has understood the linear function in function, quadratic function and inverse proportion function, but allow student fully understand and use trigonometric function, it is more difficult that teachers are generally reflected, by the understanding to taught students, the most reflections of classmates are not very thorough for the study of mathematical function, and the character of some functions neither be very clear, particularly trigonometric function is very easy to obscure, therefore, designing a kind of instrument that can demonstrate trigonometric function, is the demand that meets very much student.
Summary of the invention
Problem to be solved in the utility model is: a kind of simple in structure, functional image demonstrator that can clear demonstration trigonometric function is provided.
In order to address the above problem, functional image demonstrator of the present utility model, comprise a rectangular iron plate, the one side of described iron plate is provided with mesh lines and rectangular coordinate system, also comprise several linear function graphical models, quadratic function graphical model and inverse proportion functional digraph model, the front of described linear function graphical model, quadratic function graphical model and inverse proportion functional digraph model all scribbles color, and reverse side is all pasted with several button magnets.
Further, convenient in order to hang when demonstrating, the top of described iron plate is provided with link.
The beneficial effect that the utility model is obtained is: (1) makes simple, with low cost, easy operating; (2) by the functional image demonstrator of making, can help student more intuitively to understand and learning function, linear function, quadratic function and inverse proportion function are had to more deep understanding; (3) color that linear function graphical model, quadratic function graphical model and inverse proportion functional digraph model arrange is all different, and the back side is equipped with button magnet, not only demonstrate effect better, can also allow the clearer study of student and grasp the character of function by mobile graphics model, in the process of move function graphical model, it is upper that button magnet can be adsorbed on iron plate, can not come off.
Accompanying drawing explanation
Fig. 1 is the demonstration graph of linear function graphical model on iron plate.
Fig. 2 is the demonstration graph of quadratic function graphical model on iron plate.
Fig. 3 is the demonstration graph of inverse proportion functional digraph model on iron plate.
In figure: 1, iron plate, 2, link, 3, rectangular coordinate system, 4, linear function graphical model, 5, quadratic function graphical model, 6, inverse proportion functional digraph model, 7, button magnet.
Embodiment
Embodiment 1
As shown in Figure 1, the functional image demonstrator of the present embodiment, comprise the linear function graphical model 4 on a rectangular iron plate 1 and iron plate 1, the one side of described iron plate 1 is provided with mesh lines and rectangular coordinate system 3, the front of described linear function graphical model 4 all scribbles color, reverse side is all pasted with several button magnets 7, and the top of described iron plate 1 is provided with link 2.
As shown in Figure 1, during rectangular coordinate system 3 demonstration graph at demonstration linear function graphical model 4 on iron plate 1, can demonstrate following content,
The first, can demonstrate linear function is straight line, knows two definite points on linear function, gets final product the technique of painting of 2 definite straight lines;
The second, illustrate in the expression formula y=kx+b of linear function, the symbol of k and b and the character of this functional picture,
Wherein y is the numerical value of linear function on ordinate, and x is the numerical value of linear function on horizontal ordinate, and k and b are constant,
When functional picture is through one, during three quadrants, k>0, b=0, y increases with the increase of x;
When functional picture is through two, during four-quadrant, k<0, b=0, y reduces with the increase of x;
When functional picture is through one, two, during three quadrants, k>0, b>0, y increases with the increase of x;
When functional image is through one, two, during four-quadrant, k<0, b>0, y reduces with the increase of x;
When functional picture is through one, three, during four-quadrant, k>0, b<0, y increases with the increase of x;
When functional picture is through two, three, during four-quadrant, k<0, b<0, y reduces with the increase of x.
The 3rd, the method for asking the triangle area that this functional picture and x axle, y axle form is described:
This functional image is through one, two, three quadrants.The rule of asking that forms so this triangle area is: S △=(functional image and | x axle intersection point | * this functional picture and | y axle intersection point |)/2.
As shown in Figure 2, the functional image demonstrator of the present embodiment, comprise the quadratic function graphical model 5 on a rectangular iron plate 1 and iron plate 1, the one side of described iron plate 1 is provided with mesh lines and rectangular coordinate system 3, the front of described quadratic function graphical model 5 all scribbles color, reverse side is all pasted with several button magnets 7, and the top of described iron plate 1 is provided with link 2.
During rectangular coordinate system 3 demonstration graph at demonstration quadratic function graphical model 5 on iron plate 1,
The first, the character in the time of can demonstrating translation function image:
As everyone knows, the expression formula of quadratic function image is function expression y=ax
2+ bx+c, the translation Liang Ge unit that makes progress, this function expression is y=ax
2+ bx+c+2, if again to left San Ge unit, function expression becomes y=a (x+3)
2+ bx+c+2, thus sum up add, under subtract, a left side adds, the right side subtracts basic law.
The second, can illustrate that the symbol of a and b in quadratic function is left with right different:
Quadratic function is y=ax
2+ bx+c, opening upwards for example, axis of symmetry is on the right side of y axle, because axis of symmetry is on the right side of y axle, thus b/-2a>0, again because a>0, so b<0.
The 3rd, the syntactics as two para-curves a, b and c during about y rotational symmetry or about x rotational symmetry can be described:
When two para-curves are axisymmetric about y, a is constant, and b becomes original opposite number, and c is constant;
When two para-curves are axisymmetric about x, a becomes original opposite number, and b is constant, and c becomes original opposite number.
The 4th, the character at the both sides of axis of symmetry image can be described:
For example during opening upwards, when the right side of axis of symmetry, y increases with the increase of x, and when the left side of axis of symmetry, y reduces with the increase of x;
For example, when Open Side Down, when the right side of axis of symmetry, y reduces with the increase of x, and when the left side of axis of symmetry, y increases with the increase of x.
Embodiment 3
As shown in Figure 3, the functional image demonstrator of the present embodiment, comprise the inverse proportion functional digraph model 6 on a rectangular iron plate 1 and iron plate 1, the one side of described iron plate 1 is provided with mesh lines and rectangular coordinate system 3, the front of described inverse proportion functional digraph model 6 all scribbles color, reverse side is all pasted with several button magnets 7, and the top of described iron plate 1 is provided with link 2.
When demonstrating the demonstration graph of the rectangular coordinate system 3 of inverse proportion functional digraph model 6 on iron plate 1,
The first, the character of inverse proportion functional picture can be described:
When functional picture is through one, three quadrants, in each quadrant, y reduces with the increase of x;
When functional picture through two, four-quadrant, in each quadrant, y increases with the increase of x.
Second, can illustrate why the image of inverse proportion function and the rectangular area that x axle, y axle, initial point form equal the absolute value of k, as everyone knows, the expression formula of inverse proportion function is y=k/x, at this functional picture, take up an official post and get a bit, the rectangular area that formed equals the ordinate of this point and the absolute value of horizontal ordinate multiplies each other, | x| * | y|=|k|.
The 3rd, can draw the symmetry of image:
The hyperbolic curve of inverse proportion functional image is about origin symmetry, centered by symmetrical.
In sum, functional image demonstrator of the present utility model, simple in structure, thought by number form combination can be good at allowing the character of the trigonometric functions such as students linear function, quadratic function and inverse proportion function, deepen the understanding of student to trigonometric function, very helpful for student, be worthy to be popularized very much.
Claims (2)
1. a functional image demonstrator, it is characterized in that: comprise a rectangular iron plate (1), the one side of described iron plate (1) is provided with mesh lines and rectangular coordinate system (3), also comprise several linear function graphical models (4), quadratic function graphical model (5) and inverse proportion functional digraph model (6), the front of described linear function graphical model (4), quadratic function graphical model (5) and inverse proportion functional digraph model (6) all scribbles color, and reverse side is all pasted with several button magnets (7).
2. functional image demonstrator according to claim 1, is characterized in that: the top of described iron plate (1) is provided with link (2).
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201320636817.9U CN203490864U (en) | 2013-10-15 | 2013-10-15 | Function image demonstrating instrument |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201320636817.9U CN203490864U (en) | 2013-10-15 | 2013-10-15 | Function image demonstrating instrument |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN203490864U true CN203490864U (en) | 2014-03-19 |
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| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201320636817.9U Expired - Fee Related CN203490864U (en) | 2013-10-15 | 2013-10-15 | Function image demonstrating instrument |
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| CN (1) | CN203490864U (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| KR101903328B1 (en) | 2018-03-13 | 2018-10-01 | 경상남도 (교육청) | Playing apparatus using quadratic function graph |
-
2013
- 2013-10-15 CN CN201320636817.9U patent/CN203490864U/en not_active Expired - Fee Related
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| KR101903328B1 (en) | 2018-03-13 | 2018-10-01 | 경상남도 (교육청) | Playing apparatus using quadratic function graph |
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| Date | Code | Title | Description |
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| GR01 | Patent grant | ||
| GR01 | Patent grant | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20140319 Termination date: 20141015 |
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| EXPY | Termination of patent right or utility model |