Ancestral principle demonstration water tank system

Abstract

The utility model discloses a progenitor principle demonstration water tank system, which comprises a pair of water tanks, a liftable bracket, a pair of diameter measuring mechanisms, a cone I and a cone II, a diameter measuring mechanism is horizontally placed at the upper end of each water tank, the first cone and the second cone are respectively hung on a lifting support, and the lifting support can drive the first cone and the second cone to move up and down at the same time. According to the system, the diameter measuring mechanism is arranged to judge whether the diameters of two section circles formed by the cone I and the cone II and the horizontal plane in the moving process are always kept consistent or not; the lifting bracket is arranged to control the hanging heights of the cone I and the cone II to be consistent all the time; whether the volumes of the cone I and the cone II are equal or not can be measured through the water tank; and progenitor principles are finally proved. Besides, physical demonstration and on-site teaching are carried out by using the teaching aid, so that students can be better helped to understand the scientific principle, and the learning enthusiasm of the students can be improved.

Description

Technical Field

[0001] The utility model relates to teaching demonstration supplies, in particular to a zugen principle demonstration water tank system. Background Art

[0002] Zu Geng (5th century - 6th century), son of Zu Chongzhi, was a great scientist during the Northern and Southern Dynasties. Zu Geng made outstanding contributions to mathematics. Based on practice, he proposed the following volume calculation principle at the end of the 5th century: "If the power and potential are the same, the volume cannot be different." This is the "Zu Geng principle." "Potential" means height and "power" means area. Zu Geng's principle can be described in modern language as: "If two geometric bodies sandwiched between two parallel planes are cut by any plane parallel to the two planes, and the total area of ​​the two cross-sections is equal, then the volumes of the two geometric bodies are equal."

[0003] Teaching aids, as items used in the classroom, can more intuitively reflect the content of the lecture, allowing students to understand the knowledge they have learned more conveniently and quickly. The "Zu Geng Principle" is recorded in the current high school mathematics textbooks. Although attached pictures are provided to help students understand, such an abstract thinking dynamic process of "breaking the whole into parts and accumulating the parts into a whole" is taught through oral teaching, without ideal intuitive teaching aids, which not only affects students' grasp of the essence of the thought method, but also increases the difficulty of teaching and affects the efficiency of classroom teaching. Therefore, we need to design a demonstration device for the Zu Geng Principle. Summary of the invention

[0004] In order to overcome the defects of the prior art, the purpose of the utility model is to provide a Zu Geng principle demonstration water tank system to solve the problem that there is no intuitive teaching aid to demonstrate the "Zu Geng principle", which increases the difficulty of teaching and affects the efficiency of classroom teaching.

[0005] To this end, the utility model proposes a water tank system for demonstrating the Zu Geng principle, comprising a pair of water tanks, a liftable bracket, a pair of diameter measuring mechanisms, cone one and cone two; one diameter measuring mechanism is horizontally placed on the upper end of each water tank, cone one and cone two are respectively suspended on the liftable bracket, and the liftable bracket can drive cone one and cone two to move up and down at the same time.

[0006] The lower ends of cone 1 and cone 2 correspond to a diameter measuring mechanism respectively; during the movement of cone 1 and cone 2, a cross-sectional circle is formed respectively with the horizontal plane where the diameter measuring mechanism is located; the diameter measuring mechanism is used to determine whether the diameters of the two cross-sectional circles are always consistent; a scale 1 is set on the side of the water tank, which is used to determine whether the volumes of cone 1 and cone 2 immersed in water are consistent.

[0007] Furthermore, the diameter measuring mechanism includes an annular bracket and at least three sliding rods, the sliding rods radially extend on the annular bracket and are distributed in an annular array, a stretching spring is provided between the sliding rod and the annular bracket, and a second scale is provided in the middle of the sliding rod.

[0008] Furthermore, a contact ball is provided at the front end of the sliding rod.

[0009] Furthermore, four sliding rods and four stretching springs are respectively provided in the diameter measuring mechanism.

[0010] Furthermore, the liftable bracket includes a crossbar, a pair of vertical bars and a pair of sliders; one slider is connected to each end of the crossbar, the slider is slidably connected to the corresponding vertical bar, and the upper part of the vertical bar and the matching section of the slider are also provided with scales.

[0011] Furthermore, the side surface of the slider has a mounting hole that matches the cross bar, and the side surface of the slider is also provided with a threaded hole, and a locking screw is provided in the threaded hole.

[0012] Furthermore, the bottom of the vertical rod is connected to a bottom plate.

[0013] Furthermore, a second bubble level is installed on the crossbar.

[0014] Furthermore, a bubble level is provided on the top of the water tank, and the bubble level is a universal level including two horizontal bubbles and two vertical bubbles.

[0015] Furthermore, the first cone and the second cone are solid cones made of metal.

[0016] The utility model provides a water tank system for demonstrating the Zu Geng principle. By setting a diameter measuring mechanism, it can be determined whether the diameters of the two cross-section circles formed with the horizontal plane where the diameter measuring mechanism is located during the movement of the cone 1 and the cone 2 are always consistent; by setting a lifting bracket, the hanging heights of the cone 1 and the cone 2 are always consistent; by setting a water tank with a scale 1, it can be measured whether the volumes of the cone 1 and the cone 2 are equal; and finally the Zu Geng principle is proved. In addition, by using teaching aids for real-life demonstration and on-site teaching, it can not only better help students understand scientific principles, but also improve students' learning enthusiasm.

[0017] In addition to the above-described purposes, features and advantages, the present application also has other purposes, features and advantages. The present application will be further described in detail with reference to the drawings. BRIEF DESCRIPTION OF THE DRAWINGS

[0018] The drawings constituting part of the present application are used to provide a further understanding of the present application. The exemplary embodiments and descriptions of the present application are used to explain the present application and do not constitute an improper limitation on the present application. In the drawings:

[0019] Figure 1 This is a schematic diagram of the structure of the water tank system in the initial state for demonstrating the Zu Geng principle of the utility model;

[0020] Figure 2 It is a structural schematic diagram of the Zu Geng principle demonstration water tank system of the utility model in the middle demonstration state;

[0021] Figure 3 It is a partial enlarged view of the Zu Geng principle demonstration water tank system of the utility model in the middle demonstration state;

[0022] Figure 4 It is a structural schematic diagram of the Zu Geng principle demonstration water tank system of the utility model in the final demonstration state;

[0023] Description of Reference Numerals

[0024] 1. Sink; 2. Liftable bracket; 3. Diameter measuring mechanism; 4. Cone 1; 5. Cone 2; 11. Scale 1; 12. Bubble level 1; 21. Vertical rod; 22. Horizontal rod; 23. Sliding block; 24. Locking screw; 25. Bottom plate; 26. Bubble level 2; 31. Ring bracket; 32. Sliding rod; 33. Tensile spring; 34. Contact ball; 35. Scale 2. DETAILED DESCRIPTION

[0025] It should be noted that, in the absence of conflict, the embodiments and features in the embodiments of the present application can be combined with each other. The present application will be described in detail below with reference to the accompanying drawings and in combination with the embodiments.

[0026] like Figure 1 to Figure 4 As shown, the Zu Geng principle demonstration water tank system of the utility model comprises: a pair of water tanks 1, a liftable bracket 2, a pair of diameter measuring mechanisms 3, cone 1 4 and cone 2 5; a diameter measuring mechanism 3 is horizontally placed on the upper end of each water tank 1, cone 1 4 and cone 2 5 are respectively suspended on the liftable bracket 2, and the lower ends of the two correspond to a diameter measuring mechanism 3, wherein cone 1 4 and cone 2 5 can move up and down with the liftable bracket 2, the diameter measuring mechanism 3 can measure the diameter of any cross section of cone 1 4 and cone 2 5, and the water tank 1 can obtain the volume of cone 1 4 or cone 2 5 through the change of water level height.

[0027] Specifically, the diameter measuring mechanism 3 includes an annular bracket 31 and at least three sliding rods 32. The sliding rods 32 extend radially on the annular bracket 31 and are distributed in an annular array. At the same time, the sliding rods 32 maintain sliding cooperation with the annular bracket 31. A stretching spring sheet 33 is provided between the sliding rod 32 and the annular bracket 31. The stretching spring sheet 33 forces the sliding rod 32 to slide toward the center point on the annular bracket 31; wherein a contact ball 34 is provided at the front end of the sliding rod 32, and a scale 2 35 is provided in the middle of the sliding rod 32.

[0028] like Figure 1 As shown, four sliding rods 32, contact balls 34 and stretch springs 33 are respectively provided in the diameter measuring mechanism 3, and the four contact balls 34 are respectively in contact with the quadrant points of the cross-sectional circle. By measuring the four sliding rods 32 in two vertical directions, the diameter of the cross-sectional circle can be measured more accurately.

[0029] When the diameter measuring mechanism 3 is not subjected to external force, the contact balls 34 at the front ends of the plurality of sliding rods 32 are in contact with each other, and the spherical shapes of the plurality of contact balls are located on a concentric circle. When the cone 1 4 or cone 2 5 moves downward from the center position of the diameter measuring mechanism 3, the conical surface of the cone 1 4 or cone 2 5 simultaneously contacts the plurality of contact balls 34, pushing the plurality of sliding rods 32 to move radially outward simultaneously, and the diameter of a certain horizontal section of the cone 1 4 or cone 2 5 can be obtained through the scale 2 35 on the sliding rod 32, and then it can be determined whether the size of the horizontal section of the cone 1 4 and cone 2 5 intersected by the same horizontal plane is consistent.

[0030] A scale 11 is set on the side of the water tank 1 for observing the change of water level height, and then obtaining the volume of cone 1 4 or cone 2 5. A bubble level 12 is set on the top of the water tank 1. The bubble level 12 is a universal level, including two horizontal and vertical bubbles; it is used to determine whether the water tank 1 is set horizontally, so as to make the measured volume more accurate.

[0031] The liftable bracket 2 includes a cross bar 22, a pair of vertical bars 21 and a pair of sliders 23; a slider 23 is connected to each end of the cross bar 22, and the sliders 23 are slidably connected to the corresponding vertical bars 21; wherein, the side of the slider 23 has a mounting hole that matches the cross bar 22, and the side of the slider 23 is also provided with a threaded hole, and a locking screw 24 is provided in the threaded hole, and the height of the slider 23 is adjusted by screwing the locking screw 24; and the lifting movement of the slider 23 can drive the cross bar 22 and the cone 1 4 and cone 2 5 connected thereto to move up and down.

[0032] like Figure 1As shown, the bottom of the vertical rod 21 is connected to a base plate 25 for support and fixation; the upper part of the vertical rod 21 and the matching section of the slider 23 are provided with a scale for measuring the height of the cross bar 22, and further obtaining the real-time heights of cone 1 4 and cone 2 5; in addition, a bubble level 26 is installed on the cross bar 22, and the bubble level 26 is used to determine whether the cross bar 22 is horizontal, and then determine whether the heights of cone 1 4 and cone 2 5 are consistent.

[0033] In this solution, cone 1 4 and cone 2 5 are solid cones made of high-density metal material, so that cone 1 4 and cone 2 5 can push the sliding rod 32 to overcome the elastic force of the stretching spring 33 and move outward by relying on their own weight.

[0034] It should be noted that in this case, the liftable bracket 2 is not only configured as Figure 1 The method of cooperating the vertical rod and the slider described in the above can also directly use a guide rail slider linear module, and can also add an electric or pneumatic control module to achieve the synchronous movement of cone 1 4 and cone 2 5.

[0035] The working principle and working process of the Zuke principle demonstration sink system of the utility model are briefly described below in conjunction with the accompanying drawings.

[0036] First, hang cone 1 4 and cone 2 5 on the liftable bracket 2, adjust the position of the slider by rotating the locking screw 24, adjust the position of the slider 23 by the bubble level 2 26 and the scale on the vertical rod 21, so that the cross bar 22 remains horizontal, and then control the hanging height of cone 1 4 and cone 2 5 to always remain consistent.

[0037] Cone 1 4 and cone 2 5 move downward and form a cross-sectional circle with the plane where the central axis of the sliding rod 32 is located; the diameters of the two cross-sectional circles measured by the two diameter measuring mechanisms 3 are always consistent; at the same time, it is observed through scale 11 that the water level height change in the water tank 1 is always consistent; when cone 1 4 and cone 2 5 are completely immersed in water, it is measured that the volumes of cone 1 4 and cone 2 5 are equal.

[0038] Zu Geng's principle states that "if two geometric bodies sandwiched between two parallel planes are cut by any plane parallel to the two planes, and the total areas of the two cross-sections are equal, then the volumes of the two geometric bodies are equal."

[0039] In this embodiment, during the demonstration of the water tank demonstration system, the diameter measuring mechanism 3 measures that the diameters of the top surfaces of cone 1 4 and cone 2 5 are the same, and the bottoms of cone 1 4 and cone 2 5 are vertices; at the same time, the diameter measuring mechanism 3 measures that the diameters of the two cross-sectional circles of cone 1 4 and cone 2 5 intersecting with the same horizontal plane are always consistent; the above experimental characteristics correspond to the premise of the Zu Geng principle that "two geometric bodies sandwiched between two parallel planes are cut by any plane parallel to the two planes, and if the areas of the two cross-sections are always equal",

[0040] During the experiment, "Cone 1 4 and Cone 2 5 are completely immersed in water, and the water tank with scale 1 measures that the volumes of Cone 1 4 and Cone 2 5 are equal", which corresponds to the conclusion of Zu Geng's principle "Then the volumes of these two geometric bodies are equal".

[0041] Therefore, the Zu Geng principle can be proved.

[0042] The above description is only the preferred embodiment of the present application and is not intended to limit the present application. For those skilled in the art, the present application may have various modifications and variations. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present application shall be included in the protection scope of the present application.

Claims

1. A water tank system for demonstrating the Zu Geng principle, characterized in that: include: A pair of water tanks (1), a liftable bracket (2), a pair of diameter measuring mechanisms (3), a first cone (4) and a second cone (5); A diameter measuring mechanism (3) is horizontally placed at the upper end of each water tank (1), and the cone 1 (4) and the cone 2 (5) are respectively suspended on the liftable bracket (2), and the liftable bracket (2) can drive the cone 1 (4) and the cone 2 (5) to move up and down at the same time; The lower ends of the cone 1 (4) and the cone 2 (5) correspond to one of the diameter measuring mechanisms (3) respectively; during the movement of the cone 1 (4) and the cone 2 (5), they form a cross-sectional circle respectively with the horizontal plane where the diameter measuring mechanism (3) is located; the diameter measuring mechanism (3) is used to determine whether the diameters of the two cross-sectional circles are always consistent; and a scale 1 (11) is provided on the side of the water tank (1) for determining whether the volumes of the cone 1 (4) and the cone 2 (5) immersed in water are consistent.

2. The ancestral principle demonstration water tank system according to claim 1 is characterized in that: The diameter measuring mechanism (3) comprises an annular support (31) and at least three sliding rods (32), wherein the sliding rods (32) extend radially on the annular support (31) and are distributed in an annular array, a stretching spring sheet (33) is provided between the sliding rod (32) and the annular support (31), and a second scale (35) is provided in the middle of the sliding rod (32).

3. The ancestral principle demonstration water tank system according to claim 2 is characterized in that: A contact ball (34) is provided at the front end of the sliding rod (32).

4. The ancestral principle demonstration water tank system according to claim 2 is characterized in that: The diameter measuring mechanism (3) is provided with four sliding rods (32) and four stretching spring sheets (33).

5. The Zuke principle demonstration water tank system according to claim 1 is characterized in that: The liftable bracket (2) comprises a crossbar (22), a pair of vertical bars (21) and a pair of sliders (23); the two ends of the crossbar (22) are respectively connected to a slider (23), the sliders (23) are slidably connected to the corresponding vertical bars (21), and the upper part of the vertical bars (21) and the matching section of the sliders (23) are also provided with scales.

6. The Zuke principle demonstration water tank system according to claim 5 is characterized in that: The side surface of the slider (23) is provided with a mounting hole matched with the cross bar (22), and the side surface of the slider (23) is also provided with a threaded hole, in which a locking screw (24) is provided.

7. The Zu Geng principle demonstration water tank system according to claim 5, characterized in that: The bottom of the vertical rod (21) is connected to a bottom plate (25).

8. The Zuke principle demonstration water tank system according to claim 5, characterized in that: A second bubble level (26) is installed on the crossbar (22).

9. The Zuke principle demonstration water tank system according to claim 1, characterized in that: A bubble level (12) is provided on the top of the water tank (1), and the bubble level (12) is a universal level including two horizontal and vertical level bubbles.

10. The Zuke principle demonstration water tank system according to claim 1, characterized in that: The cone 1 (4) and the cone 2 (5) are solid cones made of metal.

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