CN211264708U - Demonstration device for projective theorem - Google Patents

Demonstration device for projective theorem Download PDF

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Publication number
CN211264708U
CN211264708U CN202020087011.9U CN202020087011U CN211264708U CN 211264708 U CN211264708 U CN 211264708U CN 202020087011 U CN202020087011 U CN 202020087011U CN 211264708 U CN211264708 U CN 211264708U
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water tank
fixedly connected
theorem
projective
inner space
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CN202020087011.9U
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冯祥雨
丁传伟
黄时有
章强
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Hefei Zhengyu Automation Technology Co ltd
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Hefei Zhengyu Automation Technology Co ltd
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Abstract

The utility model discloses a demonstration device of projective theorem, which relates to the technical field of science popularization demonstration devices and comprises a supporting table, wherein a turntable is rotatably connected on the supporting table; a first water tank, a second water tank and a third water tank which are made of transparent materials are fixedly connected in the rotary table, and the projections of the first water tank, the second water tank and the third water tank are square; one side of the first water tank is vertical to one side of the second water tank, one side of the third water tank, one side of the first water tank and one side of the second water tank form a right-angled triangle, and one side of the third water tank is positioned on the hypotenuse of the right-angled triangle; and the middle part of the third water tank is provided with a partition which divides the inner space into two independent spaces. The utility model discloses verify the demonstration to collude the theorem of stock and the theorem of projective, improve participant's interest for the participant can be more directly perceived, vivid understanding and master its law.

Description

Demonstration device for projective theorem
The technical field is as follows:
the utility model relates to a science popularization display device technical field especially relates to a presentation device of projective theorem.
Background art:
the science popularization exhibit is a product for showing science and popularizing scientific knowledge in short. The scientific exhibit has scientificity and vividness, and can vividly and vividly show scientific knowledge. For the purpose of popularizing scientific knowledge. Science popularization exhibits are scientific knowledge displays, and thus, the science popularization exhibits are bound to become an indispensable component of science education and even quality education. Social quality education has gone up the educational regularization schedule today, and science popularization education has also highlighted its importance in such a large environment. Science and technology museums and science and education museums become a component of school education. These science and technology museums are composed of various popular science exhibits. The popular science exhibits become the main elements in the science and technology museum.
Projective theorem, also known as euclidean theorem: in a right triangle, the height on the hypotenuse is the middle term of the ratio of two legs in the projection of the hypotenuse, and each leg is the middle term of the ratio of the projection of this leg on the hypotenuse to the hypotenuse. The projective theorem is an important theorem for mathematical graph computation. In the teaching process, theoretical derivation is adopted, an actual demonstration model is lacked, and learners cannot easily understand and master rules intuitively and vividly. In order to demonstrate the above theorem, it is necessary to provide a demonstration apparatus for demonstrating the theorem.
The utility model has the following contents:
the utility model discloses the purpose is to solve at least and lack the demonstration model of reality in the teaching of present projective theorem, and the learner is difficult for directly perceived, vivid understanding and masters the technical problem of its law, provides a presentation device of projective theorem.
In order to achieve the above purpose, the utility model adopts the following technical scheme to realize:
a demonstration device for projective theorem comprises a supporting table, wherein a turntable is rotatably connected to the supporting table; a first water tank, a second water tank and a third water tank which are made of transparent materials are fixedly connected in the rotary table, the thicknesses of the inner spaces of the first water tank, the second water tank and the third water tank are consistent, and the projections of the first water tank, the second water tank and the third water tank are square; one side of the first water tank is vertical to one side of the second water tank, one side of the third water tank, one side of the first water tank and one side of the second water tank form a right-angled triangle, and one side of the third water tank is positioned on the hypotenuse of the right-angled triangle; the first water tank is communicated with the inner space of the third water tank through a corner which is contacted with the inner space of the third water tank; the second water tank is communicated with the inner space of the third water tank through a corner in contact with the inner space of the third water tank; and the middle part of the third water tank is provided with a partition which divides the internal space into two independent spaces, and the partition is positioned at the vertical projection of a right angle formed by the first water tank and the second water tank on the bevel edge.
Further, the supporting table is fixedly connected with a bearing seat, the side wall of the bearing seat is circumferentially and rotatably connected with rollers, the outer wall of each roller is provided with a groove, the back of the turntable is fixedly connected with a circle of annular guide rails, and the guide rails are positioned on the outer rings of the rollers and clamped in the grooves.
Furthermore, the middle part of the bearing seat is fixedly connected with a fluorescent lamp.
Furthermore, the periphery of the turntable is fixedly connected with an annular handle, the annular handle is fixedly connected with the turntable through a supporting rod, and a hand passing gap is formed between the annular handle and the outer ring of the turntable.
Furthermore, a panel is fixedly connected to the rotary table, the panel is made of a transparent sub-grid force plate, and the first water tank, the second water tank and the third water tank are fixed to the panel.
The utility model provides a pair of presentation device of projective theorem has following beneficial effect: when the device is used, the first water tank and the second water tank are filled with liquid with different colors, the rotary disc is rotated to enable the first water tank and the second water tank to be positioned below, the liquid flows into the first water tank and the second water tank, the rotary disc is rotated by 180 degrees, the first water tank and the second water tank are transferred to the upper part, the liquid in the first water tank just flows into one side of the third water tank, the liquid in the second water tank just flows into the other side of the third water tank, the pythagorean theorem is proved by the area theorem that the liquid in the small square of the rotary disc assembly 2 just can fill the large square, the sum of the squares of the two right-angle sides of the right-angled triangle is equal to the square of the hypotenuse, and meanwhile, the third water tank is provided with a partition; therefore, the Pythagorean theorem and the projective theorem are verified and demonstrated, the interest of the participants is improved, and the participants can understand and master the rules more visually and vividly.
Description of the drawings:
the following detailed description of embodiments of the present invention is provided with reference to the accompanying drawings:
fig. 1 is a schematic perspective view of a device for demonstrating projective theorem according to the present invention;
fig. 2 is a schematic front view of a device for demonstrating projective theorem according to the present invention;
fig. 3 is a schematic side view of a device for demonstrating projective theorem according to the present invention;
fig. 4 is a schematic top view of a demonstration apparatus for projective theorem according to the present invention;
fig. 5 is a partial structure diagram of a portion a in fig. 3.
The reference numbers in the figures illustrate: 1-supporting table, 2-rotating disc, 21-guide rail, 22-annular handle, 23-support rod, 24-panel, 3-first water tank, 4-second water tank, 5-third water tank, 51-partition, 6-bearing seat, 61-roller, 611-groove and 62-fluorescent lamp.
The specific implementation mode is as follows:
it should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
The technical solutions in the embodiments of the present invention will be described clearly and completely with reference to the accompanying drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only some embodiments of the present invention, not all embodiments. Based on the embodiments in the present invention, all other embodiments obtained by a person skilled in the art without creative efforts belong to the protection scope of the present invention.
It should be noted that all the directional indicators (such as up-down-left-right-front-back … …) in the embodiments of the present invention are only used to explain the relative position relationship between the components in a specific posture (as shown in the drawings) -motion situation, etc., and if the specific posture is changed, the directional indicator is changed accordingly, and the connection may be a direct connection or an indirect connection.
As shown in fig. 1, 2, 3, 4 and 5, the demonstration device for the projective theorem comprises a support table 1, wherein a turntable 2 is rotatably connected to the support table 1; a first water tank 3, a second water tank 4 and a third water tank 5 which are made of transparent materials are fixedly connected in the rotary table 2, the thicknesses of the inner spaces of the first water tank 3, the second water tank 4 and the third water tank 5 are consistent, and the projections of the inner spaces are square; one side of the first water tank 3 is vertical to one side of the second water tank 4, one side of the third water tank 5 and one side of the first water tank 3 and the second water tank 4 form a right-angled triangle, and one side of the third water tank 5 is positioned on the hypotenuse of the right-angled triangle; the first water tank 3 is communicated with the inner space of the third water tank 5 through a corner in contact; the second water tank 4 is communicated with the inner space of the third water tank 5 through a corner in contact; the middle part of the third water tank 5 is provided with a partition 51 which divides the inner space into two independent spaces, and the partition 51 is positioned at the vertical projection of the right angle formed by the first water tank 3 and the second water tank 4 on the bevel edge.
Specifically, fixedly connected with is accepted the seat 6 on the supporting bench 1, the periphery rotates on the lateral wall of accepting the seat 6 and is connected with gyro wheel 61, seted up recess 611 on the outer wall of gyro wheel 61, the back fixedly connected with round annular guide rail 21 of carousel 2, guide rail 21 is located gyro wheel 61 and is outer lane and joint in recess 611. Flexible rotation and stable structure.
Specifically, the middle part of the bearing seat 6 is fixedly connected with a fluorescent lamp 62. The liquid flow direction in the water tank is convenient to watch.
Specifically, the circumference of the turntable 2 is fixedly connected with an annular handle 22, the annular handle 22 is fixedly connected with the turntable 2 through a support rod 23, and a hand passing gap is formed between the annular handle 22 and the outer ring of the turntable 2. The rotating disc 2 is convenient to rotate.
Specifically, a panel 24 is fixedly connected to the turntable 2, the panel 24 is made of a transparent subsfrate plate, and the first water tank 3, the second water tank 4 and the third water tank 5 are fixed to the panel 24. The observation is convenient.
By adopting the technical scheme, when the special device is used, the first water tank 3 and the second water tank 4 are filled with liquid with different colors, the rotary disc 2 is rotated to enable the first water tank 3 and the second water tank 4 to be positioned below, the liquid flows into the first water tank 3 and the second water tank 4, the rotary disc 2 is rotated by 180 degrees, the first water tank 3 and the second water tank 4 are transferred to the upper part, the liquid in the first water tank 3 just flows into one side of the third water tank 5, the liquid in the second water tank 4 just flows into the other side of the third water tank 5, the rotary disc 2 rotates the liquid in the first water tank 3 and the second water tank 4 which are small squares to just fill the third water tank 5 which is large squares, the pythagorean theorem is indirectly proved through the relative volume, the sum of the squares of the two right-angle triangle sides is equal to the square hypotenuse of the right-angle sides, and the third water tank 5 is provided with; therefore, the Pythagorean theorem and the projective theorem are verified and demonstrated, the interest of the participants is improved, and the participants can understand and master the rules more visually and vividly.
The foregoing shows and describes the general principles, essential features, and features of the invention. It should be understood by those skilled in the art that the present invention is not limited to the above embodiments, and the description of the above embodiments and the description is only illustrative of the principles of the present invention, and that various changes and modifications may be made without departing from the spirit and scope of the present invention, and these changes and modifications are all within the scope of the present invention as claimed. The scope of the invention is to be protected by the following claims and their equivalents.

Claims (5)

1. A presentation device of projective theorem, characterized in that: comprises a supporting platform (1), wherein a turntable (2) is rotatably connected to the supporting platform (1); a first water tank (3), a second water tank (4) and a third water tank (5) which are made of transparent materials are fixedly connected in the rotary table (2), the thicknesses of the inner spaces of the first water tank (3), the second water tank (4) and the third water tank (5) are consistent, and the projections of the inner spaces are square; one side of the first water tank (3) is vertical to one side of the second water tank (4), one side of the third water tank (5) forms a right-angled triangle with one sides of the first water tank (3) and the second water tank (4), and one side of the third water tank (5) is positioned on the hypotenuse of the right-angled triangle; the first water tank (3) is communicated with the inner space of the third water tank (5) through a corner which is contacted with the inner space of the third water tank; the second water tank (4) is communicated with the inner space of the third water tank (5) through a corner which is contacted with the inner space of the third water tank; the middle part of the third water tank (5) is provided with a partition (51) for dividing the inner space into two independent spaces, and the partition (51) is positioned at the vertical projection of a right angle formed by the first water tank (3) and the second water tank (4) on the bevel edge.
2. A projective theorem demonstrating device according to claim 1, wherein: fixedly connected with accepts seat (6) on brace table (1), it rotates to be connected with gyro wheel (61) to accept the periphery on the lateral wall of seat (6), set up fluted (611) on the outer wall of gyro wheel (61), the back fixedly connected with round annular guide rail (21) of carousel (2), guide rail (21) are located gyro wheel (61) and are outer lane and joint in recess (611).
3. A projective theorem demonstrating device according to claim 2, wherein: the middle part of the bearing seat (6) is fixedly connected with a fluorescent lamp (62).
4. A projective theorem demonstrating device according to claim 1, wherein: the circumference fixedly connected with annular handle (22) of carousel (2), pass through branch (23) fixed connection between annular handle (22) and carousel (2), annular handle (22) and the outer lane of carousel (2) are equipped with the hand clearance.
5. A projective theorem demonstrating device according to claim 1, wherein: the rotary table is characterized in that a panel (24) is fixedly connected to the rotary table (2), the panel (24) is made of a transparent subsfrate plate, and the first water tank (3), the second water tank (4) and the third water tank (5) are fixed to the panel (24).
CN202020087011.9U 2020-01-16 2020-01-16 Demonstration device for projective theorem Active CN211264708U (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202020087011.9U CN211264708U (en) 2020-01-16 2020-01-16 Demonstration device for projective theorem

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202020087011.9U CN211264708U (en) 2020-01-16 2020-01-16 Demonstration device for projective theorem

Publications (1)

Publication Number Publication Date
CN211264708U true CN211264708U (en) 2020-08-14

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Family Applications (1)

Application Number Title Priority Date Filing Date
CN202020087011.9U Active CN211264708U (en) 2020-01-16 2020-01-16 Demonstration device for projective theorem

Country Status (1)

Country Link
CN (1) CN211264708U (en)

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