CN2935325Y - Straight polygon demonstration realia - Google Patents
Straight polygon demonstration realia Download PDFInfo
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- CN2935325Y CN2935325Y CN 200620079019 CN200620079019U CN2935325Y CN 2935325 Y CN2935325 Y CN 2935325Y CN 200620079019 CN200620079019 CN 200620079019 CN 200620079019 U CN200620079019 U CN 200620079019U CN 2935325 Y CN2935325 Y CN 2935325Y
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Abstract
The utility model discloses a straight polygon demonstration teaching aids, including a direct ruler, a protractor and elastics, characterized in that the utility model also includes a fixing button; in the middle of direct ruler is a long strip slide tank with the same direction of direct ruler, and one connecting fulcrum is set in the center of the straight edge of protractor. Seven direct rulers are arranged, wherein, one pair of long ruler are 35 cm in length; one pair of short ruler are 30 cm in length; three rulers are 20 cm in the same length. The fixing-button covered on the two ends of ruler slide will connect the activities the rulers. On the ruler back is indicated with 0.618 point calibration. The utility model is simple in structure, easy in operation, easy and flexible in use, strong in variability, safe and reliable in use, low in cost, can display the learned knowledge through teaching aids. The utility model is a demonstration teaching aid which can make teaching and studying relaxed, interesting and funny.
Description
Technical field
The utility model relates to the mathematics teaching aid field, is a kind of straight polygon demonstration teaching aid specifically.
Background technology
Current School Mathematics education demonstrator only limits to wall chart, only supply the manipulable mould of teacher one people, even in many contents of courses, lack the instruments used for education aided education activity of adaptation, mathematical education seriously lacks intuitively, image, can operate, the display device of imparting knowledge to students easily, brought many inconvenience for student's mathematical studying.
The utility model content
The purpose of this utility model provides a kind of simple in structure, easy operating, easy to use, flexible, changeability is strong, and is safe and reliable, cheap, the knowledge of acquiring can be presented at the moment a kind of straight polygon demonstration teaching aid that makes mathematical studying become light, interesting, joyful by teaching aid.
The technical scheme that its technical matters that solves the utility model adopts is:
A kind of straight polygon demonstration teaching aid comprises ruler, and protractor and bungee is characterized in that it also comprises fixing button, the middle part of described ruler open one with ruler strip chute in the same way, the center is established one and is connected fulcrum on the straight flange of described protractor.
Described ruler is seven, wherein a pair of long chi, and length is 35cm, a pair of short chi, length is 30cm, three isometric chis, length is 20cm, described fixing button is sleeved on ruler chute two ends, and ruler is flexibly connected.
The described ruler back side is carved with the golden section point scale.
Described protractor is four, and specification is identical.
This teaching aid represents straight polygonal related notion, character, feature by constantly changing in the combination; Show straight polygonal stability; Congruence and similarity; Perpendicular bisector character, angular bisector character; More than 40 correlation properties such as gold slide calliper rule, feature.The utility model assembling is simple, easy to use, simple to operate, changeability is strong, and the performance of displaying is directly perceived, and is easy to carry.
The utlity model has following characteristics:
(1) this teaching aid not only can be showed content of courses instrument for the teacher provides, and the student also can be arbitrarily according to learning content by demonstration device rational learning content, use the interactive event that this education demonstrator can increase teachers and students in the mathematics classroom learning process.
(2) enthusiasm of raising student learning mathematics is improved the calculation of writing simple in the learning mathematics process and is calculated, and has enriched the mathematical studying content, increased mathematical studying interest, can further cultivate student's creativity consciousness, under the inspiration of variable instruments used for education, alleviate the burden of learning mathematics.
(3) this teaching aid can embody new learning method, content by the Mathematical Experiments activity, can effectively knowledge learning and the information that experiment obtains be integrated, and classroom learning is had direct help and facilitation.
(4) learning mathematics temperament and interest, interest and the enthusiasm to guiding student has facilitation, cultivate student's logical thinking ability by how much changeable Presentation Graphicses, cultivate the custom of student's inquiry study, help teachers and students' interaction, cooperation, interchange, help the student and participate class activities energetically, promote the activity of starting that beats one's brains.
(5) this teaching aid easy operating, easy to use, applying flexible, changeability is strong, and is simple in structure, safe and reliable, cheap, the knowledge of acquiring can be represented intuitively by teaching aid, makes the light, interesting, joyful of study change.
(6) be convenient to promote.
Description of drawings
Fig. 1 is a ruler structural representation of the present utility model;
Fig. 2 is the ruler schematic rear view;
Fig. 3 is that ruler is connected the embodiment synoptic diagram with bungee;
Fig. 4 is that ruler and protractor are formed angular bisector embodiment synoptic diagram;
Fig. 5 is branch line segment embodiment synoptic diagram such as composition parallel lines;
Fig. 6 is the embodiment synoptic diagram of parallelogram and variation shape thereof;
Fig. 7 is a ruler structural representation of the present utility model.
Embodiment
Below in conjunction with accompanying drawing the utility model is described in further details.
A kind of straight polygon demonstration teaching aid comprises the identical protractor of 1, four specification of seven rulers 5, six fixing buttons 2 and bungees 4.A pair of long chi in the ruler, length is 35cm, a pair of short chi, length is 30cm, three isometric chis, length is 20cm, the middle part of each ruler open one with ruler strip chute 3 in the same way, the ruler back side is carved with golden section point scale 6.A connection fulcrum is established at the center on the straight flange of protractor 5.Fixing button 2 has little hook effect simultaneously.
In manufacturing process, with ruler 1 overlapping putting together, tighten with fixing button 2, just can construct straight polygonal structure Presentation Graphics, or bungee 4 is enclosed within the ruler top, just can show needed how much demonstration graph of different shape.Show character, feature, the characteristic of relational graph intuitively.
Just use method embodiment:
1, gets three three rulers 1 and three fixing buttons 2 different in size, three summits are easily fixing, just can obtain a triangle, apply certain strength to triangle, can find that leg-of-mutton shape does not change from different directions---show leg-of-mutton stability.
If move the position of three fixing buttons respectively, can obtain different triangles, and can repeatedly attempt leg-of-mutton stability.
2, get four rulers 1 and four fixing buttons 2, four summits are easily fixing, just can obtain a quadrilateral, apply certain strength from different directions to quadrilateral, can find that tetragonal shape has obvious variation---show tetragonal stability.
If move the position of four fixing buttons respectively, can obtain different quadrilaterals.
3, get three rulers different in size 1 and three fixing buttons 2, three summits are fixed, can obtain a triangle, according to the data of ruler inboard, can experience character---the character on Atria limit such as " arbitrarily both sides sum greater than the 3rd limit ", " difference on both sides is less than the 3rd limit arbitrarily " " longest edge deduct minor face greater than the 3rd limit " " minor face add that the 3rd limit is greater than longest edge ".
The position difference of fixing button can obtain different triangles.
4, get the ruler 1 of two equal in length, a bungee 4 and a fixing button 2, be fixed together tightly with the end of fixing button 2 two rulers 1, be enclosed within bungee 4 on the hook of two other end points, just can obtain an isosceles triangle---the understanding isosceles triangle.
If move the position on the summit that is fixed, just can obtain different triangles, thus the identification isosceles triangle.
5, get two rulers different in size 1 and a fixing button 2, short ruler is fixed on the center of long ruler, and be enclosed within bungee 4 on the hook at two ends of length ruler, just can obtain Presentation Graphics---the understanding of median of a triangle character of median of a triangle.
6, get two rulers different in size and a fixing button, long ruler be vertically fixed on the end of short ruler, and be enclosed within bungee on the hook at two ends of length ruler, just can obtain right-angle triangle---the understanding of right-angle triangle.
7, get three isometric rulers 1 and three fixing buttons 2, tightly fix three summits, just can obtain the Presentation Graphics of an equilateral triangle---the understanding of equilateral triangle.
8, get two rulers different in size 1 and a fixing button 2, an end of lacking chi is vertically fixed on the long chi, and is enclosed within on the hook at other two ends, just can obtain the Presentation Graphics of triangle form height---the understanding of triangle office with two bungees 4.
9, get ruler 1 and fixing button 2 that two length equate, with summit of two ruler vertical fixing, on the hook of the other end of two rulers, just can obtain Presentation Graphics---the understanding of isosceles right triangle of isosceles right triangle with a bungee cover 4.
10, get three isometric rulers 1 and three fixing buttons 2, a bungee, three rulers are tightly fixing with three summits with three fixing buttons, bungee cover 4 on the hook of the mid point of a summit and opposite side, just can be obtained two right-angle triangles that contain 30 °---the understanding of 30 ° right-angle triangle.
11, get two rulers 1 and a fixing button 2, an end of a ruler is fixed on the mid point of another ruler, be enclosed within on the hook at other two ends, just can obtain the Presentation Graphics of perpendicular bisector---the understanding of perpendicular bisector with two bungees 4.
If loosen fixing button, move up and down the character that a ruler just can be attempted perpendicular bisector.
12, get two rulers 1, a protractor 5 and a fixing button 2 earlier, be built into an angle, get two rulers again, with two fixing buttons with these two rulers vertical fixing in front on two rulers respectively, and latter two ruler is equated to the distance at angle, at this moment fix a bit that latter two ruler intersects like a cork with a fixing button.Be enclosed within on the hook of summit and intersection point with a bungee 4, at this moment just can obtain the Presentation Graphics of angular bisector---the understanding of angular bisector.
Loosen the fixing button on summit and the fixing button of intersection point, and make the both sides of latter two ruler all the time, just can obtain the understanding of the angular bisector of different angles perpendicular to the angle.
13, getting ruler that two group length do not wait easily fixes four summits with four fixing buttons 2 and can obtain the quadrilateral Presentation Graphics---the understanding of parallelogram.
Apply the understanding that certain strength can be attempted the parallelogram of different shape to parallelogram from different directions.
14, get two rulers that are uneven in length 1, with a fixing button 2 that two ruler mid points are easily fixing, be enclosed within four bungees 4 on the hook of an end of ruler, can obtain the parallelogram Presentation Graphics---the understanding of parallelogram.
The fixing button position is motionless, rotates a ruler, the understanding that can attempt various parallelogram.
15, get the ruler 1 of four equal in length,, easily fix four summits and can obtain rhombus shape Presentation Graphics---the understanding of rhombus with four fixing buttons 2.
Apply certain strength to rhombus from different directions, can attempt the understanding of the rhombus of different shape.
16, get two rulers different in size 1,,, be enclosed within four bungees 4 on the hook of an end of ruler, can obtain the rhombus Presentation Graphics two ruler mid points vertical fixing tightly with a fixing button 2---the understanding of rhombus.
Loosen fixing button, do not change the position of fixing button, rotate the understanding that ruler can be attempted the similarities and differences of rhombus, parallelogram.
17, get two isometric, short ruler 1 and four fixing buttons 2 such as two, tightly fix four summits tightly fix four summits, and make adjacent both sides orthogonal, just can obtain the Presentation Graphics of rectangle---the understanding of rectangle.
Loosen fixing button, apply certain strength to rectangle from different directions, can attempt the understanding of the similarities and differences of rectangle, rhombus, parallelogram.
18, get ruler 1 and fixing button 2 that two length equate, easily that two ruler mid points are easily fixing, be enclosed within on the hook of ruler one end with four bungees 4, just can obtain the Presentation Graphics of rectangle---the understanding of rectangle.
Light fixing button does not change the position of fixing button, rotates the understanding that ruler can be attempted the similarities and differences of rectangle, rhombus, parallelogram, and various rectangles are familiar with.
19, get ruler 1 and four fixing buttons 2 that four length equate, four summits are tightly fixing, and make adjacent both sides vertical mutually, and just can obtain square Presentation Graphics---foursquare understanding.
Loosen fixing button, apply certain strength to rectangle from different directions, can attempt understanding rectangle, rhombus, parallelogram, foursquare similarities and differences.
20, get ruler 1 and a fixing button 2 of two equal in length, the center of two rulers is tightly fixing, and make two rulers vertical, and just can obtain foursquare Presentation Graphics---foursquare understanding.
Loosen fixing button, do not change the position of fixing button, rotate the understanding that ruler can be attempted the similarities and differences of rhombus, parallelogram, square, rectangle.
21, get six equal ruler 1 and six fixing buttons 2 of length in twos, respectively that six summits are tightly fixing, obtain two equirotal triangles, obtain the triangle of two congruences---the understanding (SSS) of equivalent of triangle.
Loosen fixing button, the position of corresponding mobile fixing button can obtain difform two congruent triangles respectively simultaneously, thereby deepens the understanding to congruent condition SSS.
22, get four equal rulers 1 of length in twos, two bungees 4, with two fixing buttons 2 and two protractors 5, respectively tightly fix two summits, be enclosed within two bungees on the hook of the other end of ruler, and the angle of two rulers is equated, just can obtain triangle---the understanding (SAS) of equivalent of triangle of two congruences.
Loosen fixing button, the invariant position of fixing button, and rotate a ruler simultaneously respectively makes angle identical of rotation, can obtain difform two congruent triangles, thereby deepen the understanding to congruent condition SAS.
23, get six equal ruler 1 and six fixing buttons 2 of length in twos, respectively that six summits are tightly fixing, obtain two triangles in different size, obtain two similar triangles---the understanding (SSS) that triangle is similar
Loosen fixing button, move the position of a leg-of-mutton fixing button simultaneously, can obtain difform two congruent triangles, thereby deepen understanding simulated condition SSS.
24, get four equal rulers 1 of length in twos, two bungees 4, with two fixing buttons 2 respectively tightly fix two summits, be enclosed within two bungees on the hook of the other end of ruler, and the angle of two rulers is equated, just can obtain two similar triangles---the understanding (SAS) that triangle is similar
Loosen fixing button, move the position of a triangle fixing button, or rotate a ruler in the triangle, can obtain difform two similar triangles, thereby deepen understanding simulated condition SAS.
25, get four rulers 1 and five fixing buttons 2, ruler is fixed into A shape, make wherein that two rulers are parallel to each other, it is similar just can to obtain the triangle that parallel lines get.---the understanding (parallel lines are cut apart) that triangle is similar
The fixing button at parallel rule two ends in the middle of loosening, the parallel rule in the middle of making can slide on both sides, can cut apart character by parallel lines.
26, get four rulers 1 and 2, three protractors 5 of three fixing buttons, ruler tightly is fixed into " rich " shape, protractor is placed on the position at corresponding angle, alternate interior angle or internal angles on the same side, just can construct the Presentation Graphics of parallel lines---the understanding of parallel lines.
Loosen fixing button, rotate parallel rule, just can obtain understanding the parallel transitivity of parallel lines character, parallel lines by the variation of angle.
27, get three rulers 1 and 2, two protractors 5 of two fixing buttons, ruler tightly is fixed into " rich " shape, protractor is placed on the position of corresponding angle, just can obtain the Presentation Graphics of corresponding angle---the understanding of the corresponding angle in the three-way anise.
Loosen fixing button, the invariant position of fixing button, the position of amount of spin hornwork just can obtain four groups of corresponding angle on the diverse location, thereby deepens the understanding of corresponding angle, the character of parallel lines and the understanding of decision method.
28, get three rulers 1 and 2, two protractors 5 of two fixing buttons, ruler tightly is fixed into " rich " shape, protractor is placed on the position of alternate interior angle, just can obtain the Presentation Graphics of alternate interior angle---the understanding of the alternate interior angle in the three-way anise.
Loosen fixing button, the invariant position of fixing button, the position of amount of spin hornwork just can obtain two groups of alternate interior angles on the diverse location, thereby deepens the understanding to alternate interior angle, and the character of parallel lines and the understanding of decision method.
29, get three rulers 1 and 2, two protractors 5 of two fixing buttons, ruler tightly is fixed into " rich " shape, protractor is placed on the position at internal angles on the same side, just can obtain the demonstration at internal angles on the same side---the understanding at the internal angles on the same side in the three-way anise.
Loosen fixing button, the invariant position of fixing button, the position of amount of spin hornwork just can obtain two groups of internal angles on the same side on the diverse location, thereby deepens understanding and the character of parallel lines and the understanding of decision method to the internal angles on the same side.
30, get four rulers 1, three fixing buttons 2 and three protractors 5, with three rulers, make up a triangle, and a ruler is overlapped and parallel and leg-of-mutton one side with a leg-of-mutton summit, and three protractors are placed on each summit, just can construct the proof angle sum of a triangle and be 180 ° structure Presentation Graphics---the understanding of angle sum of a triangle.
31, get five rulers 1 and six fixing buttons 2, with wherein three rulers and three fixing buttons make up a triangle, to remain two rulers with a fixing button is fixed on the triangle mid point on one side simultaneously, respectively these two rulers are fixed on the mid point on other both sides with two fixing buttons, just can construct the Presentation Graphics of triangle neutrality line character---the understanding of triangle neutrality line.
Loosen the position of three limit mid point fixing buttons, two rulers in the middle of making can move on the Atria limit, in the conversion of figure repeatedly, and the understanding that just can deepen the diabolo neutrality line.
32, get six rulers 1, six fixing buttons 2, three protractors 5, six rulers are fixed, be built into " # " shape, just can obtain parallel lines are divided understanding---the understanding of branch line segments such as parallel lines of line segment proportionality matter.
Loosen two fixing buttons on the ruler of tiltedly putting, make the ruler of tiltedly putting to move freely, thus the characteristic of the proportional segment in the understanding parallel lines.
33, get four rulers 1, with four fixing buttons 2 that four summits are tightly fixing, and make wherein that two rulers are parallel to each other, just can obtain trapezoidal Presentation Graphics---trapezoidal understanding arbitrarily
Loosen fixing button, apply certain strength from different directions, can attempt trapezoidal, tetragonal similarities and differences.
34, get isometric three rulers 1 and two fixing buttons 2, two isometric rulers wherein are vertically fixed on the both sides of the 3rd ruler homonymy, be enclosed within on the hook at ruler two ends with five bungees 4, just can obtain Presentation Graphicses such as trapezoidal height, waist, two ends, diagonal line---any trapezoidal understanding.
Loosen fixing button, move two vertical rulers, just can obtain understanding notions such as the height in any trapezoidal, diagonal line, waists.
35, getting two isometric four rulers 1 and four fixing buttons 2, is that waist is tightly fixing with four summits with two isometric rulers, and to make two not isometric rulers be that both sides are parallel to each other, and just can obtain the Presentation Graphics of isosceles trapezoid---the understanding of isosceles trapezoid.
Loosen fixing button, move two vertical rulers, just can obtain understanding notions such as the height in the right-angled trapezium, diagonal line, waists.
36, get isometric three rulers 1 and two fixing buttons 2, two isometric rulers wherein are vertically fixed on the both sides of the 3rd ruler homonymy, and the distance away from end points equates, be enclosed within on the hook at ruler two ends with five bungees 4, just can obtain Presentation Graphics---the understanding of isosceles trapezoid such as height, waist, two ends, diagonal line isosceles trapezoid.
Loosen fixing button, move two vertical rulers simultaneously, just can obtain at two the end isosceles trapezoid height, waist, diagonal line, height and the understanding that concerns etc.
37, get four rulers 1 and four fixing buttons 2, four summits are tightly fixing, and making wherein that two rulers are parallel to each other, the two ends vertical fixing of one of them ruler and two parallel rules just can obtain Presentation Graphics---the understanding of right-angled trapezium of right-angled trapezium.
Loosen four fixing buttons, apply certain strength from different directions, just can obtain understanding quadrilateral, trapezoidal, right-angled trapezium, isosceles trapezoid.
38, get isometric three rulers 1 and two fixing buttons 2, two isometric rulers wherein are vertically fixed on the both sides of the 3rd ruler homonymy, make one of them ruler be fixed on an end points, another ruler is fixed on the center section of ruler, and be enclosed within two bungees 4 on the hook of end points of ruler, just can obtain the understanding to right-angled trapezium---the understanding of right-angled trapezium.
The fixing button of ruler can move this ruler in the middle of loosening on going to the bottom, and just can obtain height, the end, waist, height and the understanding at the end to right-angled trapezium.
39, get two groups of isometric six rulers 1 and five fixing buttons 2, construct the triangle of two congruences, four fixed vertices tightly wherein, public vertex is easily fixing, rotate one of them triangle, just can obtain the Presentation Graphics of rotational transform, center symmetry transformation, rotational symmetry conversion---the understanding of graph transformation
(the leg-of-mutton position difference of putting of two congruences can be familiar with rotational symmetry conversion, rotational transform and centrosymmetric understanding)
40, get two isometric long rulers 1, long ruler 1, three fixing buttons 2, two isometric rulers are easily fixing at the golden section point place, will be than short ruler one an end end that is fixed on long ruler tightly, like a cork short ruler is fixed on an end points place of another long ruler with another fixing button, just can obtains the gold slide calliper rule---the gold slide calliper rule.
Measure the length of the original with opening major part, just can measure the less length of opening on short ruler, at this moment this length of measuring is exactly part long behind the golden section.
41, get 5, six fixing buttons 2 of 1, two protractor of six rulers, construct two triangles, fix a protractor simultaneously, corresponding limit, corner is equated, just can obtain Presentation Graphics---the understanding (SAS) of congruent triangles of congruence at the place, summit of correspondence
42, get 5, six fixing buttons 2 of 1, four protractor of six rulers, construct two triangles, a protractor is fixed at corresponding again place, two summits simultaneously, and corresponding angles are equated, just can obtain Presentation Graphics---the understanding (AA) of similar triangles of similar triangles.
Claims (4)
1, a kind of straight polygon demonstration teaching aid, comprise ruler, protractor and bungee is characterized in that it also comprises fixing button (2), the middle part of described ruler (1) open one with ruler strip chute (3) in the same way, the center is established one and is connected fulcrum on the straight flange of described protractor (5).
2, straight polygon demonstration teaching aid according to claim 1, it is characterized in that described ruler is seven, wherein a pair of long chi, length is 35cm, a pair of short chi, and length is 30cm, three isometric chis, length is 20cm, and described fixing button (2) is sleeved on chute (3) two ends, and ruler (1) is flexibly connected.
3, straight polygon demonstration teaching aid according to claim 1 and 2 is characterized in that the described ruler back side is carved with golden section point scale (6).
4, straight polygon demonstration teaching aid according to claim 1 is characterized in that described protractor is four, and specification is identical.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 200620079019 CN2935325Y (en) | 2006-05-19 | 2006-05-19 | Straight polygon demonstration realia |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 200620079019 CN2935325Y (en) | 2006-05-19 | 2006-05-19 | Straight polygon demonstration realia |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN2935325Y true CN2935325Y (en) | 2007-08-15 |
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ID=38352012
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN 200620079019 Expired - Fee Related CN2935325Y (en) | 2006-05-19 | 2006-05-19 | Straight polygon demonstration realia |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN2935325Y (en) |
Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2014121698A1 (en) * | 2013-02-06 | 2014-08-14 | Hu Shuhua | Polygonal dynamic demonstration teaching aid |
| CN106409074A (en) * | 2016-10-24 | 2017-02-15 | 大连理工大学 | Multifunctional teaching aid for geometrical composition analysis of structural mechanics |
| CN106781887A (en) * | 2017-02-04 | 2017-05-31 | 邓启民 | A kind of teaching planar pattern demonstration device |
| CN106997706A (en) * | 2017-04-28 | 2017-08-01 | 王辰飞 | A kind of mathematical modeling teaching aid |
| CN110491254A (en) * | 2019-08-26 | 2019-11-22 | 武喜林 | A kind of mathematics learning aid corner instrument |
-
2006
- 2006-05-19 CN CN 200620079019 patent/CN2935325Y/en not_active Expired - Fee Related
Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2014121698A1 (en) * | 2013-02-06 | 2014-08-14 | Hu Shuhua | Polygonal dynamic demonstration teaching aid |
| CN106409074A (en) * | 2016-10-24 | 2017-02-15 | 大连理工大学 | Multifunctional teaching aid for geometrical composition analysis of structural mechanics |
| CN106781887A (en) * | 2017-02-04 | 2017-05-31 | 邓启民 | A kind of teaching planar pattern demonstration device |
| CN106997706A (en) * | 2017-04-28 | 2017-08-01 | 王辰飞 | A kind of mathematical modeling teaching aid |
| CN110491254A (en) * | 2019-08-26 | 2019-11-22 | 武喜林 | A kind of mathematics learning aid corner instrument |
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| Date | Code | Title | Description |
|---|---|---|---|
| C14 | Grant of patent or utility model | ||
| GR01 | Patent grant | ||
| C19 | Lapse of patent right due to non-payment of the annual fee | ||
| CF01 | Termination of patent right due to non-payment of annual fee |