CN2755699Y - Same-angle trigonometric function teaching instrument - Google Patents
Same-angle trigonometric function teaching instrument Download PDFInfo
- Publication number
- CN2755699Y CN2755699Y CN 200420031804 CN200420031804U CN2755699Y CN 2755699 Y CN2755699 Y CN 2755699Y CN 200420031804 CN200420031804 CN 200420031804 CN 200420031804 U CN200420031804 U CN 200420031804U CN 2755699 Y CN2755699 Y CN 2755699Y
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- trigonometric function
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- 229910000838 Al alloy Inorganic materials 0.000 claims abstract description 7
- XEEYBQQBJWHFJM-UHFFFAOYSA-N Iron Chemical compound [Fe] XEEYBQQBJWHFJM-UHFFFAOYSA-N 0.000 claims description 22
- 238000010586 diagram Methods 0.000 claims description 15
- 229910052742 iron Inorganic materials 0.000 claims description 11
- 230000000694 effects Effects 0.000 claims description 5
- 230000006870 function Effects 0.000 abstract description 21
- 230000000007 visual effect Effects 0.000 abstract description 2
- 230000009286 beneficial effect Effects 0.000 abstract 1
- BQCADISMDOOEFD-UHFFFAOYSA-N Silver Chemical compound [Ag] BQCADISMDOOEFD-UHFFFAOYSA-N 0.000 description 2
- 229910052709 silver Inorganic materials 0.000 description 2
- 239000004332 silver Substances 0.000 description 2
- 238000004458 analytical method Methods 0.000 description 1
- 238000009795 derivation Methods 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
- 239000000463 material Substances 0.000 description 1
- 238000000034 method Methods 0.000 description 1
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Abstract
A homoangular trigonometric function teaching instrument relates to a teaching aid, establishes a relation of combining numbers and shapes through graphic explanation and a basic relational expression, and has a structure comprising a homoangular trigonometric function graphic explanation plate (1) and the basic relational expression, wherein the homoangular trigonometric function graphic explanation plate (6) is formed by a regular hexagon bicolor plate (6) which is provided with seven round holes at the edges and the center of six vertexes and a movable iron-absorbing circular bicolor plate (3) with the round holes and the like, a 1 in the seven circular bicolor plates (3) is placed at the center, the left side is sequentially provided with sin alpha, tan alpha, sec alpha, and the right side is respectively provided with cos alpha, cot alpha and csc alpha, the basic relational expression is arranged at the right side of the graphic explanation plate (1) and is provided with an aluminum alloy groove (7) without a seal at the right side, a baffle plate (8) with the bicolor plate and the basic relational expression are arranged in the homoangular trigonometric function teaching instrument, the graphic explanation is visual and stimulates the learning interest of students, importantly, the ability of students to analyze problems and solve problems is developed, which is beneficial to improving the teaching quality.
Description
Technical field
The utility model relates to teaching aid in the school, specifically is with angle trigonometric function teaching appliance
Background technology
At present, during school instruction, have a lot of formula to keep firmly in mind, especially with eight fundamental formulars are arranged between the trigonometric function of angle, these formula are more abstract, and the student easily obscures, and it is more uninteresting to depend merely on teacher's explanation, and the students memory is had any problem.
Summary of the invention
The purpose of this utility model is in order to provide a kind of with angle trigonometric function teaching appliance, can be by diagram explanation and fundamental relation formula, attract student's notice, excite the interest of their learning mathematics, set up the contact of number, shape combination, cultivate student's observation ability and analysis ability, also help teacher's teaching simultaneously, improve the quality of teaching.
Technical solution of the present utility model is, it is by a double-colored plate 6 of regular hexagon, have seven round holes on it in edge, six summits and center and constitute with fundamental relation formula two parts with same angle trigonometric function diagram explanation plate 1 that the circular double-colored plate 3 that having of big activity such as circle hole inhaled iron is formed, handle " 1 " centre place in seven double-colored plates 3 of circle, the left side is followed successively by sin α, tan α, sec α, the right side corresponds to cos α respectively, cot α, csc α, the fundamental relation formula is on the right of diagram explanation plate 1, be the aluminum alloy trough 7 that does not seal on a right side, in adorn the baffle plate 8 of double-colored plate, the double-colored plate 9 of quadratic relationship, the double-colored plate 10 of reciprocal relation, the double-colored plate 11 of multiplication relationship.Diagram explanation plate 1 is made up of three-ply board 4, iron plate 5, double-colored plate 2, circular double-colored plate 3, the double-colored plate 6 of regular hexagon.
Making with angle trigonometric function diagram explanation plate 1 is that three-ply board 4 and iron plate 5 are sticked together, carve regular hexagon with the double-colored plate 2 of silver gray, and carve seven round holes on six summits and center, be bonded at then and be the double-colored plate 6 of regular hexagon on the iron plate 5, carve six trigonometric functions of the same name and " 1 " totally seven circular double-colored plates 3 with big activity such as circle hole again with suction iron, be placed on the double-colored plate 6 of regular hexagon, in the middle of " 1 " is placed on, the left side is followed successively by sin α, tan α, sec α, the right side corresponds to cos α respectively, cot α, csc α.The fundamental relation formula is placed on the right of diagram explanation plate 1, it is the aluminum alloy trough 7 that does not seal on a right side, in adorn the double-colored plate 9 of baffle plate 8, quadratic relationship, the double-colored plate 10 of reciprocal relation, the double-colored plate 11 of multiplication relationship of double-colored plate, retouch out three del dash areas with angle trigonometric function diagram explanation plate 1 in the triangular portions of sin α and cos α, tan α and sec α, cot α and csc α, in the fundamental relation formula:
Observe del on the double-colored plate 9 of quadratic relationship
sin
2α+cos
2α＝1 sec
2α-tan
2α＝1 csc
2α-cot
2α＝1
Observe diagonal line on the double-colored plate 10 of reciprocal relation
sinα·cscα＝1 cosα·secα＝1 tanα·cotα＝1
Observe adjacent three summits of regular hexagon on the double-colored plate 11 of multiplication relationship
tanα·cosα＝sinα cotα·sinα＝cosα sinα·secα＝tanα
cosα·cscα＝cotα tanα·cscα＝secα cotα·secα＝cscα
Description of drawings
Fig. 1 is the utility model floor map
Fig. 2 is the utility model sectional view
Fig. 3 is the aluminum alloy trough 7 of dress fundamental relation formula in the utility model
Embodiment
Below in conjunction with accompanying drawing the utility model is described further
With angle trigonometric function teaching appliance, by forming with the fundamental relation formula with angle trigonometric function diagram explanation plate 1, its manufacturing process is: three-ply board 4 and iron plate 5 are sticked together, paste blank sheet of paper above, again the double-colored plate 2 usefulness engraving machines of silver gray are carved a regular hexagon, and carve seven round holes at edge, six summits and center, be bonded at then and be the double-colored plate 6 of regular hexagon on the iron plate 5, carve six trigonometric functions of the same name again, as sin α, cos α, tan α, cot α, sec α, csc α and " 1 " is totally seven circular double-colored plates 3 with suction iron with big activity such as circle hole, be placed on the double-colored plate 6 of regular hexagon, in the middle of " 1 " is placed on, the left side is followed successively by sin α, tan α, sec α, the right side corresponds to cos α respectively, cot α, csc α and at sin α and cos α, tan α and sec α, the triangular portions of cot α and csc α is retouched out three del dash areas, above the double-colored plate 6 of regular hexagon is the teaching appliance title---with the explanation of angle trigonometric function diagram, make, connect together with double-colored plate 2 of iron plate, the fundamental relation formula is on the right of diagram explanation, be the aluminum alloy trough 7 that does not seal on a right side, in adorn the baffle plate 8 of double-colored plate, the double-colored plate 9 of quadratic relationship, the double-colored plate 10 of reciprocal relation, the double-colored plate 11 of multiplication relationship, in use, their pulls to the right in aluminum alloy trough 7 expose the result.
Observe del on the double-colored plate 9 of quadratic relationship
sin
2α+cos
2α＝1 sec
2α-tan
2α＝1 csc
2α-cot
2α＝1
Observe diagonal line on the double-colored plate 10 of reciprocal relation
sinα·cscα＝1 cosα·secα＝1 tanα·cotα＝1
Observe adjacent three summits of regular hexagon on the double-colored plate 11 of multiplication relationship
tanα·cosα＝sinα cotα·sinα＝cosα sinα·secα＝tanα
cosα·cscα＝cotα tanα·cscα＝secα cotα·secα＝cscα
In teaching, the teacher sets by the planimetric position among Fig. 1 earlier, the regular hexagon center is " 1 ", the left side is that " just " string sin α, " just " cut tan α, " just " and cut that sec α, right side respectively corresponding " surplus " string cos α, " surplus " are cut cot α, " surplus " cuts csc α, utilize the diagram meaning of six trigonometric function definition derivation relational expression explanation Fig. 1 of the same name, observe the dash area of regular hexagon (1) del respectively, (2) diagonal line, (3) adjacent three summits can occur
(1) observes del on the double-colored plate 9 of quadratic relationship
sin
2α+cos
2α＝1 sec
2α-tan
2α＝1 csc
2α-cot
2α＝1
(2) observe diagonal line on the double-colored plate 10 of reciprocal relation
sinα·cscα＝1 cosα·secα＝1 tanα·cotα＝1
(3) observe adjacent three summits of regular hexagon on the double-colored plate 11 of multiplication relationship
tanα·cosα＝sinα cotα·sinα＝cosα sinα·secα＝tanα
cosα·cscα＝cotα tanα·cscα＝secα cotα·secα＝cscα
In exercise and reviewing, with the function of the double-colored plate 3 of the figure of activity, show 1 or several, according to the formula rule, allow student's hands-on, find out the position of other several functions, easy to use, make students remember formula very soon.
With angle trigonometric function teaching appliance, both pictures and texts are excellent, the mathematical formulae that relatively being difficult in the study remembered, put by figure, understand the function formula result, allow the student come into plain view, memory and profound, diagram explanation visual pattern is cultivated students'interest in learning and esthetic sentiment, teach the method that they grasp formula, conclude the summary ability, the more important thing is the ability of analyzing problems and solving them of cultivating the student, improve creativity consciousness, teach in the teacher classroom, instrument does not have theory, also has material object, sets up number, the contact of shape combination, helping improving the quality of teaching, is the teaching aid that can widely popularize.
Claims (2)
1. with angle trigonometric function teaching appliance, it is characterized in that: it is by a double-colored plate of regular hexagon (6), have seven round holes on it in edge, six summits and center and constitute with fundamental relation formula two parts with same angle trigonometric function diagram explanation plate (1) that the circular double-colored plate (3) that having of big activity such as circle hole inhaled iron is formed, seven double-colored plates of circle (3) are middle " 1 " centre place, the left side is followed successively by sin α, tan α, sec α, the right side corresponds to cos α respectively, cot α, csc α, the fundamental relation formula is on the right of diagram explanation plate (1), be the aluminum alloy trough (7) that does not seal on a right side, in adorn the baffle plate (8) of double-colored plate, the double-colored plate of quadratic relationship (9), the double-colored plate of reciprocal relation (10), the double-colored plate of multiplication relationship (11).
2, according to claim 1 with angle trigonometric function teaching appliance, it is characterized in that: diagram explanation plate (1) is made up of three-ply board (4), iron plate (5), double-colored plate (2), circular double-colored plate (3), the double-colored plate of regular hexagon (6).
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 200420031804 CN2755699Y (en) | 2004-05-28 | 2004-05-28 | Same-angle trigonometric function teaching instrument |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 200420031804 CN2755699Y (en) | 2004-05-28 | 2004-05-28 | Same-angle trigonometric function teaching instrument |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN2755699Y true CN2755699Y (en) | 2006-02-01 |
Family
ID=35929325
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN 200420031804 Expired - Fee Related CN2755699Y (en) | 2004-05-28 | 2004-05-28 | Same-angle trigonometric function teaching instrument |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN2755699Y (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104361785A (en) * | 2014-11-10 | 2015-02-18 | 朱明明 | Legal relation classification displaying tool |
-
2004
- 2004-05-28 CN CN 200420031804 patent/CN2755699Y/en not_active Expired - Fee Related
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104361785A (en) * | 2014-11-10 | 2015-02-18 | 朱明明 | Legal relation classification displaying tool |
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Legal Events
| 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 |