CN211062298U - Trigonometric function demonstration teaching aid - Google Patents
Trigonometric function demonstration teaching aid Download PDFInfo
- Publication number
- CN211062298U CN211062298U CN202020089280.9U CN202020089280U CN211062298U CN 211062298 U CN211062298 U CN 211062298U CN 202020089280 U CN202020089280 U CN 202020089280U CN 211062298 U CN211062298 U CN 211062298U
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- China
- Prior art keywords
- pointer
- trigonometric function
- teaching aid
- demonstration teaching
- disc
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- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 claims abstract description 4
- 230000006870 function Effects 0.000 description 25
- 230000000694 effects Effects 0.000 description 3
- 238000003756 stirring Methods 0.000 description 2
- 230000001419 dependent effect Effects 0.000 description 1
- 230000005484 gravity Effects 0.000 description 1
- 238000000034 method Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
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Abstract
The utility model discloses a trigonometric function demonstrates teaching aid, including the supporting seat, be used for replacing the rotatory pointer on right angled triangle hypotenuse and be used for replacing the removal pointer on one of them right-angle side of right angled triangle, be provided with the disc on the supporting seat, the center of disc is provided with circular arch, the one end of rotatory pointer is rotated and is installed on circular arch, it rotates the other end of installing at rotatory pointer to remove the pointer, it remains vertical state all the time to remove the pointer, the water flat line of crossing the centre of a circle on rotatory pointer, removal pointer and the disc encloses into a right angled triangle. The utility model discloses simple structure, novel in design is reasonable, has realized that right angled triangle's hypotenuse length is unchangeable through ingenious structural design, and two right-angle sides change and change triangle-shaped to reach sine value, cosine value and tangent value that different contained angles correspond, greatly convenient student understands the trigonometric function, and the change law of trigonometric function curve along with the contained angle is easily remembered.
Description
Technical Field
The utility model belongs to the technical field of teaching aid, concretely relates to trigonometric function demonstration teaching aid.
Background
The trigonometric function is a function in which an angle is used as an independent variable, and the intersection point coordinates or the ratio of the intersection point coordinates of any angle terminal edge corresponding to the angle and the unit circle is used as a dependent variable. The trigonometric function is a weighted place in elementary mathematics as the content of the mathematics in middle school. The trigonometric function relates to a plurality of theorems, definitions and formulas, and as some students cannot understand the theorems, definitions and formulas well, difficulty is easy to be encountered due to difficulty in memory and application, so that the teaching effect of teachers and the learning effect of students are not ideal, the enthusiasm of the students is influenced, and certain difficulty is brought to students, teachers and even parents. Usually, a teacher draws a picture or writes a formula on a blackboard for explanation, but the method is time-consuming, labor-consuming and invisible, is difficult for students to understand, and even can cause the students to confuse different trigonometric functions.
SUMMERY OF THE UTILITY MODEL
The utility model aims to solve the technical problem that to the not enough of above-mentioned prior art, provide a trigonometric function demonstration teaching aid. This teaching aid simple structure, novel in design is reasonable, has realized that right angled triangle's hypotenuse length is unchangeable through ingenious structural design, and two right-angle sides change and change triangle-shaped to reacing sine value, cosine value and the tangent value that different contained angles correspond, greatly convenient student understands the trigonometric function, and the change law of trigonometric function curve along with the contained angle is easily remembered.
In order to solve the technical problem, the utility model discloses a technical scheme is: a trigonometric function demonstration teaching aid is characterized in that: including the supporting seat, be used for replacing the rotatory pointer on right triangle hypotenuse and be used for replacing the removal pointer on one of them right-angle side of right triangle, be provided with the disc on the supporting seat, the center of disc is provided with circular arch, the one end of rotatory pointer is rotated and is installed on circular arch, it rotates the other end of installing at rotatory pointer to remove the pointer, it remains vertical state all the time to remove the pointer, the water flat line of crossing the centre of a circle encloses into a right triangle on rotatory pointer, removal pointer and the disc.
The trigonometric function demonstration teaching aid is characterized in that: and scales for indicating the position of the rotating pointer are arranged on the outer circumference of the disc.
The trigonometric function demonstration teaching aid is characterized in that: and scales are arranged on the movable pointer.
The trigonometric function demonstration teaching aid is characterized in that: the scale of the center position of the moving pointer is zero, the scale upwards is a negative value, and the scale downwards is a positive value.
The trigonometric function demonstration teaching aid is characterized in that: and the lower end of the movable pointer is rotatably provided with a heavy object block which is used for keeping the movable pointer in a vertical state all the time.
The trigonometric function demonstration teaching aid is characterized in that: and a tension bolt for fastening the rotary pointer is inserted in the center of the disc.
The trigonometric function demonstration teaching aid is characterized in that: the great one end of tie bolt is provided with and is used for preventing tie bolt pivoted rectangular block, be provided with the rectangular channel with rectangular block matched with on the circular arch.
The trigonometric function demonstration teaching aid is characterized in that: and a knurled nut used for tensioning the tensioning bolt to fix the rotary pointer is sleeved at the smaller end of the tensioning bolt.
The trigonometric function demonstration teaching aid is characterized in that: and the knurled nut is in threaded fit with the tension bolt.
The trigonometric function demonstration teaching aid is characterized in that: and scales are arranged on a horizontal line passing through the circle center on the disc.
Compared with the prior art, the utility model has the following advantage:
1. the utility model discloses simple structure, novel in design is reasonable, ingenious will move the pointer and design into central symmetry structure to the preferred heavy thing piece that makes to move the pointer and be in vertical state all the time through setting up.
2. The utility model discloses a teaching aid convenient operation, manual stir rotatory pointer to required angle after, through twisting the annular knurl nut alright with light fixed rotatory pointer.
3. The utility model discloses a hypotenuse length of teaching aid is unchangeable, and the length value on the right angle limit of two variable length can directly read out through the scale interval.
4. Through carefully observing the utility model discloses the scale on two right-angle sides of teaching aid can directly find out each trigonometric function value along with the trend of change of contained angle, can help the student easily remember different trigonometric function curves.
The technical solution of the present invention will be further described in detail with reference to the accompanying drawings and examples.
Drawings
Fig. 1 is a schematic view of the three-dimensional structure of the teaching aid of the present invention.
Fig. 2 is a front view of the teaching aid of the present invention.
Fig. 3 is a left side view of the teaching aid of the present invention.
Fig. 4 is a top view of the teaching aid of the present invention.
Fig. 5 is the schematic view of the exploded structure of the teaching aid of the present invention.
Description of reference numerals:
1-disc; 2-rotating the pointer; 3-moving the pointer;
4-heavy mass; 5, tensioning the bolt; 6, knurling a nut;
7, a support seat; 8, a circular bulge; 9-rectangular block.
Detailed Description
As shown in fig. 1-5, the utility model discloses a trigonometric function demonstrates teaching aid, including supporting seat 7, be used for replacing the rotatory pointer 2 on right triangle hypotenuse and be used for replacing the removal pointer 3 on one of them right-angle side of right triangle, be provided with disc 1 on supporting seat 7, the center of disc 1 is provided with circular arch 8, the one end of rotatory pointer 2 is rotated and is installed on circular arch 8, it rotates the other end of installing at rotatory pointer 2 to remove pointer 3, remove pointer 3 and keep vertical state throughout, the water flat line of crossing the centre of a circle encloses into a right triangle on rotatory pointer 2, removal pointer 3 and the disc 1.
In this embodiment, the outer circumference of the disc 1 is provided with a scale indicating the position of the rotary pointer 2.
In this embodiment, the movable pointer 3 is provided with scales.
In this embodiment, the scale of the center position of the moving pointer 3 is zero, the upward scale is a negative value, and the downward scale is a positive value.
In this embodiment, a weight 4 for keeping the moving hand 3 in a vertical state is rotatably mounted on the lower end of the moving hand 3.
In this embodiment, a tension bolt 5 for fastening the rotary pointer 2 is inserted through the center of the disk 1.
In this embodiment, the larger end of the tension bolt 5 is provided with a rectangular block 9 for preventing the tension bolt 5 from rotating, and the circular protrusion 8 is provided with a rectangular groove matched with the rectangular block 9.
In this embodiment, the smaller end of the tightening bolt 5 is sleeved with a knurled nut 6 for tightening the tightening bolt 5 to fix the rotating pointer 2.
In this embodiment, the knurled nut 6 is in threaded fit with the tightening bolt 5.
In this embodiment, the horizontal line passing through the center of the circle on the disc 1 is provided with scales.
The utility model discloses a trigonometric function teaching aid convenient to use at first stirs rotatory pointer 2 to required angle value, twists annular knurl nut 6, makes rotatory pointer 2 fixed, then pauses for a moment slightly, when waiting to remove pointer 3 no longer the horizontal hunting under the effect of gravity, carries out the reading. Because the track moved by the intersection point of the rotating pointer 2 and the moving pointer 3 is a unit circle, the scale value on the upper surface of the center of the moving pointer 3 is negative, the scale value on the lower surface is positive, the value on the left side of the horizontal scale line on the disc 1 is positive, and the value on the right side is negative, the values at the intersection point of the moving pointer 3 and the horizontal scale line are respectively a sine value and a cosine value, and the ratio of the sine value to the cosine value is a tangent value. By continuously and slowly dialing the rotating pointer 2, the trend that each trigonometric function value gradually changes along with the increase of the included angle can be seen.
The above, only be the utility model discloses a preferred embodiment, it is not right the utility model discloses do any restriction, all according to the utility model discloses the technical entity all still belongs to any simple modification, change and the equivalent structure change of doing above embodiment the utility model discloses technical scheme's within the scope of protection.
Claims (10)
1. A trigonometric function demonstration teaching aid is characterized in that: including supporting seat (7), be used for replacing rotatory pointer (2) on right triangle hypotenuse and be used for replacing removal pointer (3) on one of them right-angle side of right triangle, be provided with disc (1) on supporting seat (7), the center of disc (1) is provided with circular arch (8), the one end of rotatory pointer (2) is rotated and is installed on circular arch (8), remove pointer (3) and rotate the other end of installing at rotatory pointer (2), remove pointer (3) and keep vertical state throughout, the water flat line of crossing the centre of a circle encloses into a right triangle on rotatory pointer (2), removal pointer (3) and disc (1).
2. A trigonometric function demonstration teaching aid according to claim 1, wherein: scales for indicating the position of the rotating pointer (2) are arranged on the outer circumference of the disc (1).
3. A trigonometric function demonstration teaching aid according to claim 1, wherein: scales are arranged on the movable pointer (3).
4. A trigonometric function demonstration teaching aid according to claim 3, wherein: the scale of the center position of the moving pointer (3) is zero, the scale upwards is a negative value, and the scale downwards is a positive value.
5. A trigonometric function demonstration teaching aid according to claim 3 or 4, wherein: the lower end of the movable pointer (3) is rotatably provided with a heavy object block (4) which is used for keeping the movable pointer (3) in a vertical state all the time.
6. A trigonometric function demonstration teaching aid according to claim 1, wherein: and a tension bolt (5) for fastening the rotary pointer (2) is inserted in the center of the disc (1).
7. A trigonometric function demonstration teaching aid according to claim 6, wherein: the large end of the tensioning bolt (5) is provided with a rectangular block (9) used for preventing the tensioning bolt (5) from rotating, and a rectangular groove matched with the rectangular block (9) is formed in the circular protrusion (8).
8. A trigonometric function demonstration teaching aid according to claim 7, wherein: the smaller end of the tensioning bolt (5) is sleeved with a knurled nut (6) used for tensioning the tensioning bolt (5) to fix the rotary pointer (2).
9. A trigonometric function demonstration teaching aid according to claim 8, wherein: the knurled nut (6) is in threaded fit with the tension bolt (5).
10. A trigonometric function demonstration teaching aid according to claim 1, wherein: and scales are arranged on a horizontal line passing through the circle center on the disc (1).
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202020089280.9U CN211062298U (en) | 2020-01-15 | 2020-01-15 | Trigonometric function demonstration teaching aid |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202020089280.9U CN211062298U (en) | 2020-01-15 | 2020-01-15 | Trigonometric function demonstration teaching aid |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN211062298U true CN211062298U (en) | 2020-07-21 |
Family
ID=71586406
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202020089280.9U Expired - Fee Related CN211062298U (en) | 2020-01-15 | 2020-01-15 | Trigonometric function demonstration teaching aid |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN211062298U (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP7010526B1 (en) * | 2021-07-27 | 2022-01-26 | 幸久 永田 | Trigonometric teaching tools |
-
2020
- 2020-01-15 CN CN202020089280.9U patent/CN211062298U/en not_active Expired - Fee Related
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP7010526B1 (en) * | 2021-07-27 | 2022-01-26 | 幸久 永田 | Trigonometric teaching tools |
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| Date | Code | Title | Description |
|---|---|---|---|
| GR01 | Patent grant | ||
| GR01 | Patent grant | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20200721 |
|
| CF01 | Termination of patent right due to non-payment of annual fee |