CN210295565U

CN210295565U - Pythagorean theorem teaching aid of studying directly perceived

Info

Publication number: CN210295565U
Application number: CN201921183655.1U
Authority: CN
Inventors: 王琨淇
Original assignee: Individual
Current assignee: Individual
Priority date: 2019-07-26
Filing date: 2019-07-26
Publication date: 2020-04-10
Anticipated expiration: 2029-07-26

Abstract

An intuitive teaching aid for studying Pythagorean theorem comprises a plate frame and a square bottle; the plate frame is of a rectangular structure, the plate frame is provided with a groove, and the groove consists of three connected square groove areas and a right-angled triangle area between the three groove areas; the square bottles are three, all adopt transparent materials, the cross sections of the square bottles are square, the thicknesses of the three square bottles are the same, a bottle mouth is arranged on the central point of the top of each square bottle, and the three square bottles are embedded in the square groove area on the plate frame. The utility model has the advantages that: colored liquid can be poured in and poured out from the three square bottles, so that students can visually know the Pythagorean theorem.

Description

Pythagorean theorem teaching aid of studying directly perceived

Technical Field

The utility model relates to a pythagorean theorem study teaching aid directly perceived for the square of two right-angle sides of audio-visual expression right angled triangle and with the relation between the hypotenuse square.

Background

In the pythagorean theorem teaching, the expression method that the sum of squares of two right-angle sides directly represented by letters is equal to the square of a hypotenuse side is adopted, so that a plurality of students can understand the method with great effort.

SUMMERY OF THE UTILITY MODEL

To the above problem, the utility model aims at providing a technical solution, through its cross section length of side equals two right-angle sides and the three square bottle of an hypotenuse respectively, lets the student understand the pythagorean theorem directly perceivedly.

The utility model comprises a plate frame 0, a square bottle 1, a square bottle 2 and a square bottle 3 (figure 1).

The plate frame 0 is of a rectangular structure, the plate frame is provided with a groove 4, and the groove is composed of a square groove area 8, a square area 9, a square area 10 and a right-angled triangle groove area 11.

The number of the square bottles is three, namely a square bottle 1, a square bottle 2 and a square bottle 3. The three square bottles are made of transparent materials, the cross sections of the three square bottles are square, and the three square bottles are the same in thickness.

The top center point of the square bottle 1 is provided with a bottle mouth 5, the top center point of the square bottle 2 is provided with a bottle mouth 6, and the top center point of the square bottle 3 is provided with a bottle mouth 7.

The side length of the cross section of the square bottle 1 is equal to the side length of the square groove area 8; the side length of the cross section of the square bottle 2 is equal to the side length of the square groove area 9; the length of the cross section of the square bottle 3 is equal to the length of the square groove area 10.

The longitudinal section of the square grooved region 8 is perpendicular to the transverse section of the square grooved region 9.

The square bottle 1 is embedded in the square groove area 8, and the bottle mouth of the square bottle is positioned in the right-angled triangle groove area 11; the square bottle 2 is embedded in the square groove area 9, and the bottle mouth of the square bottle is positioned in the right-angled triangle groove area 11; the square bottle 3 is embedded in the square groove area 10, and the bottle mouth is positioned in the right-angled triangle groove area 11.

Drawings

Fig. 1 is a structural diagram of the present invention.

Wherein: 0-plate rack; 1-square bottle; 2-square bottle; 3-square bottle; 4-groove; 5-bottle mouth; 6-bottle mouth; and 7, a bottle mouth.

Fig. 2 is a structural view of the plate frame.

Wherein: 0-plate rack; 8-square groove area; 9-square groove area; 10-square groove area; 11-Right triangle groove area.

Detailed Description

The following describes a specific embodiment of the present invention with reference to fig. 1 and 2.

The square bottle 1, the square bottle 2 and the square bottle 3 are all made of transparent materials, the thicknesses of the three square bottles are the same, and the cross sections of the three square bottles are square.

When teaching demonstration is carried out, the three square bottle smart plate frames 0 are taken out, colored liquid is filled in the square bottles 3 at first, then the colored liquid in the square bottles 3 is poured into the square bottles 1 and the square bottles 2, and just two square bottles are filled.

Or the square bottle 1 and the square bottle 2 are filled with the colored liquid, and then the colored liquid in the square bottle 1 and the square bottle 2 is poured into the square bottle 3 to be just full.

The area of the cross section of the square bottle 1 is equal to the square of the side length of the square bottle 1, the area of the cross section of the square bottle 2 is equal to the square of the side length of the square bottle 2, and the area of the cross section of the square bottle 3 is equal to the square of the side length of the square bottle 3. The sum of the cross section areas of the square bottles 1 and 2 is equal to the cross section area of the square bottle 3.

The sum of the squares of the two legs of the right triangle groove area 11 is therefore equal to the square of the hypotenuse of the right triangle groove area 11.

Claims

1. The utility model provides a pythagorean theorem teaching aid of directly perceiving which characterized in that: consists of a plate frame and a square bottle; the plate frame is of a rectangular structure, the plate frame is provided with a groove, and the groove consists of three connected square groove areas and a right-angled triangle area between the three groove areas; the square bottle has threely, and square bottle all adopts transparent material, and its cross section all is the square, and three square bottle thickness is the same, has the bottle neck on the square bottle top central point, and three square bottle inlays in the square recess region on the grillage.