JPH0514291Y2 - - Google Patents
Info
- Publication number
- JPH0514291Y2 JPH0514291Y2 JP3808588U JP3808588U JPH0514291Y2 JP H0514291 Y2 JPH0514291 Y2 JP H0514291Y2 JP 3808588 U JP3808588 U JP 3808588U JP 3808588 U JP3808588 U JP 3808588U JP H0514291 Y2 JPH0514291 Y2 JP H0514291Y2
- Authority
- JP
- Japan
- Prior art keywords
- line
- center point
- right triangle
- length
- perpendicular line
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired - Lifetime
Links
- 239000000463 material Substances 0.000 description 5
- 229920003002 synthetic resin Polymers 0.000 description 4
- 239000000057 synthetic resin Substances 0.000 description 4
- 230000000694 effects Effects 0.000 description 2
- 239000000758 substrate Substances 0.000 description 2
- 239000002184 metal Substances 0.000 description 1
- 230000001737 promoting effect Effects 0.000 description 1
Description
【考案の詳細な説明】
（産業上の利用分野）
本考案は、ルート（平方根）の理解が容易に行
える表示器あるいはそれを表面に表した教材に関
する。[Detailed Description of the Invention] (Industrial Field of Application) The present invention relates to a display device that allows the user to easily understand the root (square root), or a teaching material that displays the same on its surface.
（従来技術及びその問題点）
ルート（平方根）は、ピタゴラスの定理等の諸
定理に基づいて説明されるのが一般的であり、二
等辺三角定規の斜辺で√２を理解し、あるいは一
辺が１，２で斜辺が√３の直角三角形でルートの
長さの感覚を理解していた。(Prior art and its problems) Roots (square roots) are generally explained based on various theorems such as the Pythagorean theorem. In 1 and 2, I understood the sense of the length of the root using a right triangle with a hypotenuse of √3.
しかしながら、√２，√３等の長さの実感はつ
かみにくく、それらの関連性は理解できなかつ
た。さらに大きな数のルートは実感として捉える
ことは困難であつた。また、√97のように素数の
ルートは因数分解できないため、実感として理解
できなかつた。 However, it was difficult to get a feel for the lengths of √2, √3, etc., and the relationship between them could not be understood. It was difficult to grasp the larger number of routes in real terms. Also, since the root of a prime number like √97 cannot be factorized, it was difficult to understand it in real life.
（問題点を解決するための手段）
本考案は上述の問題点を解決するために考案さ
れたものであり、表示器上に中心点を構成し、該
中心点より任意方向に単位長さの基線を描き、こ
の基線の先端より、該基線と同一長さの垂線を描
き、この垂線の先端と上記中心点を連結して第１
直角三角形を構成し、上記垂線の先端より、上記
第１直角三角形の斜辺に対して上記基線と同一の
単位長さの垂線を描き、この垂線の端部と上記中
心点を連結して、第２直角三角形を第１直角三角
形の外側に構成し、この第２直角三角形の外側に
上記と同様の方法で、第３、第４，……第ｎ直角
三角形を連続して描いてなることを特徴とする。(Means for solving the problem) The present invention was devised to solve the above-mentioned problem, and consists of a center point on the display, and a unit length in any direction from the center point. Draw a base line, draw a perpendicular line with the same length as the base line from the tip of this base line, connect the tip of this perpendicular line with the above center point, and make the first line.
Form a right triangle, draw a perpendicular line with the same unit length as the base line from the tip of the perpendicular line to the hypotenuse of the first right triangle, connect the end of this perpendicular line to the center point, Two right triangles are constructed outside the first right triangle, and third, fourth, ... nth right triangles are successively drawn outside the second right triangle in the same manner as above. Features.
（実施例）
次に図面に基づいて、本考案の実施例を説明す
る。第１図は本考案の第１実施例の平面図、第２
図は第１図−線断面図、第３図は第１図に表
された三角形群の一部拡大図である。本考案の第
１実施例は表示器としてのスケールＳである。(Example) Next, an example of the present invention will be described based on the drawings. Figure 1 is a plan view of the first embodiment of the present invention;
The figure is a sectional view taken along the line of FIG. 1, and FIG. 3 is a partially enlarged view of the triangle group shown in FIG. 1. A first embodiment of the present invention is a scale S as a display device.
本実施例のスケールＳの材質は透明の合成樹脂
とし、長方形上の基板５０の中央部に、円板５１
を回転自在に構成し、該円板５１の表面に後述の
第３図に示す図形Ａを表示してなるものである。 The material of the scale S in this embodiment is a transparent synthetic resin, and a circular plate 51 is placed in the center of the rectangular substrate 50.
The disk 51 is configured to be rotatable, and a figure A shown in FIG. 3, which will be described later, is displayed on the surface of the disk 51.
上記円板５１の外周は係合部５２が突設されて
いて、基板５０の内部に削設された係合溝５３に
摺動自在に嵌合してなる。中心点Ｏと各三角形２
１，２２……の角部２，４，７……には孔を穿設
しておく。本考案はこのような構成の他に、一枚
の合成樹脂板の上に図形Ａを表示した簡易な構成
も採用できる。そして材質の合成樹脂板は半透
明、不透明でも良く、さらに合成樹脂に限らず金
属や紙などあらゆる材質を使用できる。 An engaging portion 52 is protruded from the outer periphery of the disk 51, and is slidably fitted into an engaging groove 53 cut inside the substrate 50. Center point O and each triangle 2
Holes are drilled in the corners 2, 4, 7, . . . of 1, 22, . In addition to this configuration, the present invention can also adopt a simple configuration in which the figure A is displayed on a single synthetic resin plate. The material of the synthetic resin plate may be translucent or opaque, and not only synthetic resin but also metal, paper, and any other material can be used.
このスケールＳの中央部分に中心点Ｏを構成す
る。この中心点Ｏより上方に一定の長さ、例えば
１cmの直線を描き基辺１とする。この基辺１の一
端の点２より基辺１に長さ１cmの垂線を描き他辺
３とする。この他辺３の一端の点４と上記中心点
Ｏを結線して直角二等辺三角形２０を作成する。
従つて、この二等辺三角形２０の斜辺５の長さは
√２cmである。 A center point O is formed at the center of this scale S. A straight line of a certain length, for example 1 cm, is drawn above the center point O and is defined as the base side 1. From point 2 at one end of this base side 1, draw a perpendicular line with a length of 1 cm to the base side 1 and call it the other side 3. A right-angled isosceles triangle 20 is created by connecting the point 4 at one end of the other side 3 to the center point O.
Therefore, the length of the hypotenuse 5 of this isosceles triangle 20 is √2 cm.
つぎに、上記点４より長さ１cmの直線６を斜辺
５に対して直角に描き、その一端の点７と上記中
心点１を結線して直角三角形２１を作成する。し
たがつて、この直角三角形２１の斜辺８の長さは
√√22＋12＝√３（cm）となる。 Next, a straight line 6 having a length of 1 cm is drawn from the above point 4 at a right angle to the hypotenuse 5, and a right triangle 21 is created by connecting the point 7 at one end of the line to the above center point 1. Therefore, the length of the hypotenuse 8 of this right triangle 21 is √√2 2 +1 2 =√3 (cm).
同様に、上記点７より、長さ１cmの直線９を斜
辺８に対して直角に描き、その一端の点１０と上
記中心点Ｏを結線して直角三角形２２を作成す
る。したがつて、この直角三角形２２の斜辺１１
の長さは√√32＋12＝√４（cm）となる。 Similarly, a straight line 9 with a length of 1 cm is drawn at right angles to the hypotenuse 8 from the above point 7, and a right triangle 22 is created by connecting the point 10 at one end of the line to the above center point O. Therefore, the hypotenuse 11 of this right triangle 22
The length of is √√3 2 +1 2 =√4 (cm).
こうして順次直角三角形の斜辺を一辺とし、他
辺を１cmとする直角三角形をスケールＳ上に連続
して作成していく。 In this way, right triangles are successively created on the scale S, with the hypotenuse of the right triangle being one side and the other side being 1 cm.
本実施例では、このように構成したから、ルー
ト（平方根）の長さが目視でき実感として理解す
ることができる。 In this embodiment, since it is configured in this way, the length of the root (square root) can be visually observed and understood.
すなわち、例えば√３は、√２を一辺として他
辺を１とした直角三角形２１の斜辺の長さとして
表われるから、√３の長さが√２と比較して容易
に理解できる。 That is, for example, √3 is expressed as the length of the hypotenuse of a right triangle 21 with √2 as one side and the other side as 1, so the length of √3 can be easily understood in comparison with √2.
また、例えば大きな数で、√97のように素数の
ルートの場合は、97＝96＋１であるから、√97＝
√√962＋√12＝√（４√６）2＋12となり、√97
は√６の直線の４倍を一辺とし、他辺を１とした
直角三角形の斜辺としてとらえることができる。 Also, for example, in the case of a large number with a prime root like √97, 97=96+1, so √97=
√√96 2 +√1 2 =√(4√6) 2 +1 2 , which is √97
can be seen as the hypotenuse of a right triangle with one side being 4 times the straight line of √6 and the other side being 1.
本考案のルート表示器は本実施例のようなルー
トスケールＳだけでなく、黒板に掛けて教室で教
える程度の大型に構成することもでき、また、材
質も任意であり、表示器上に表された三角形群の
図形Ａも基線や斜辺を任意の長さに構成すること
ができる。更には、円板５１上に図形Ａを構成す
る場合も、余白を設けずに、各辺３，６，９……
に沿つて切り取り、円板５１と三角形群の図形Ａ
を同一の構成にしても良い。 The route display device of the present invention is not limited to the route scale S as in this embodiment, but can also be constructed in a large size that can be hung on a blackboard to teach in a classroom, and can be made of any material. The figure A of the triangle group can also have a base line and an oblique side of arbitrary length. Furthermore, when configuring the figure A on the disk 51, each side 3, 6, 9...
Cut along the disk 51 and triangle group figure A
may have the same configuration.
（考案の効果）
上述のように本考案によれば、簡単な構成で、
ルート（平方根）の理解をすすめ、更にルートの
長さを実感として容易につかむことができるなど
の効果を奏する。(Effect of the invention) As mentioned above, according to the invention, with a simple configuration,
This has the effect of promoting an understanding of roots (square roots) and making it easier to grasp the length of a root.
図面は本考案の実施例を示すもので、第１図は
本考案の第１実施例の平面図、第２図は第１図
−線断面図、第３図は第１図に表された三角形
の一部拡大図である。
２０，２１，２２，２３，２４，２５……直角
三角形、１……基線、３，６，９……垂線、Ｏ…
…中心点。
The drawings show an embodiment of the present invention; Fig. 1 is a plan view of the first embodiment of the invention, Fig. 2 is a sectional view taken along the line shown in Fig. 1, and Fig. 3 is a cross-sectional view of the first embodiment of the invention. It is a partially enlarged view of a triangle. 20, 21, 22, 23, 24, 25... Right triangle, 1... Base line, 3, 6, 9... Perpendicular line, O...
…Center point.
Claims (1)
方向に単位長さの基線を描き、この基線の先端よ
り、該基線と同一長さの垂線を描き、この垂線の
先端と上記中心点を連結して第１直角三角形を構
成し、上記垂線の先端より、上記第１直角三角形
の斜辺に対して上記基線と同一の単位長さの垂線
を描き、この垂線の端部と上記中心点を連結し
て、第２直角三角形を第１直角三角形の外側に構
成し、この第２直角三角形の外側に上記と同様の
方法で、第３、第４、……第ｎ直角三角形を連続
して描いてなるルート表示器。 Configure a center point on the display, draw a base line of unit length in any direction from the center point, draw a perpendicular line of the same length as the base line from the tip of this base line, and connect the tip of this perpendicular line to the above center point. from the tip of the perpendicular line to the oblique side of the first right triangle, draw a perpendicular line with the same unit length as the base line, and connect the end of this perpendicular line to the center point. are connected to form a second right triangle outside the first right triangle, and third, fourth, ... n-th right triangles are consecutively formed outside the second right triangle in the same manner as above. A route indicator drawn by
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP3808588U JPH0514291Y2 (en) | 1988-03-23 | 1988-03-23 |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP3808588U JPH0514291Y2 (en) | 1988-03-23 | 1988-03-23 |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPH01142978U JPH01142978U (en) | 1989-09-29 |
| JPH0514291Y2 true JPH0514291Y2 (en) | 1993-04-16 |
Family
ID=31264655
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP3808588U Expired - Lifetime JPH0514291Y2 (en) | 1988-03-23 | 1988-03-23 |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPH0514291Y2 (en) |
-
1988
- 1988-03-23 JP JP3808588U patent/JPH0514291Y2/ja not_active Expired - Lifetime
Also Published As
| Publication number | Publication date |
|---|---|
| JPH01142978U (en) | 1989-09-29 |
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