Teaching aid for displaying line-plane relation and preliminarily measuring angle

Abstract

The utility model discloses a teaching aid for line-plane relation display and angle preliminary measurement, which comprises a measuring turntable with scales, one side of the measuring turntable is rotatably connected with a fixed seat, and the fixed seat is used for being clamped on one side to be measured of a model to be measured; the other side of the measuring turntable is rotationally connected with a movable adaptive frame, and the movable adaptive frame is used for being aligned with the other to-be-measured edge of the to-be-measured model; an indicating rod is connected to the movable adapting frame in a sliding mode and slides close to or away from the measuring rotary disc along the movable adapting frame, and elastic connecting ropes are arranged at the two ends of the indicating rod and used for determining three vertexes of an angle according to the real scene requirement. The teaching aid for displaying the line-plane relation and preliminarily measuring the angle solves the problems that an existing protractor cannot visually display the relation between different-plane straight lines, so that the calculation process of the included angle between the different-plane straight lines is difficult, students are difficult to understand, and the learning progress and learning efficiency of the students are affected.

Description

Technical Field

[0001] This utility model relates to the field of measurement teaching aids technology, and in particular to a teaching aid for displaying line-plane relationships and for preliminary angle measurement. Background Technology

[0002] A protractor is a drawing tool that can be used to draw angles as needed, and also to measure the angle between two straight lines. In elementary school, students learn about angles and how to measure them using a protractor. In middle school, they further learn the concept of angles and angle calculations. For situations requiring extension for actual measurement, auxiliary lines are needed, and the result cannot be obtained directly. Furthermore, the transition from plane geometry to solid geometry involves calculating the angle between two skew lines, and finding the desired angle is a crucial and challenging aspect of teaching. The scope of a standard protractor is narrow, only suitable for elementary school angle recognition. Even with improved protractors in middle school that can measure non-intersecting angles, they are not helpful for high school students learning basic solid geometry and using spatial reasoning to solve problems. For example, in the section on line-plane relationships in introductory solid geometry at the high school level (relationships between lines, lines and planes, and planes), especially the calculation of the angle between skew lines—a key assessment point—existing protractors and improved instruments are no longer sufficient. They cannot help students visually see the angle's position or how to use the principle of substitution, existing conditions, and the law of cosines to calculate the required value. How to enable students to both calculate the measure of different angles analytically and visually demonstrate the inherent logic of angle formation, particularly helping them mentally construct the process of angle decomposition, is a key issue that needs to be addressed through teaching aids.

[0003] Therefore, it is necessary to develop a teaching tool for displaying line-plane relationships and making preliminary angle measurements to address the above-mentioned deficiencies. Utility Model Content

[0004] The purpose of this invention is to provide a teaching aid for displaying the relationship between lines and planes and for preliminary measurement of angles. This can solve the problem that existing protractors cannot intuitively display the relationship between skew lines, which makes the calculation of the angle between skew lines difficult, causing students to have difficulty understanding and affecting their learning progress and efficiency.

[0005] To solve the above-mentioned technical problems, the present invention adopts the following technical solution:

[0006] This utility model discloses a teaching aid for displaying line-plane relationships and preliminary angle measurement, including a measuring turntable with graduations. A fixed base is rotatably connected to one side of the measuring turntable, and the fixed base is used to engage with one side of the model to be measured. A movable adapter is rotatably connected to the other side of the measuring turntable, and the movable adapter is used to align with another side of the model to be measured. An indicator rod is slidably connected to the movable adapter, and the indicator rod slides along the movable adapter towards or away from the measuring turntable.

[0007] Furthermore, the movable adapter includes a first rod rotatably connected to the measuring turntable, two second rods rotatably connected to the first rod, the two second rods being arranged parallel to each other; a third rod rotatably connected between the two second rods, the third rod being parallel to the first rod.

[0008] Furthermore, the fixing base includes a fixing rod rotatably connected to the measuring turntable. The fixing rod is provided with a plurality of elastic buckles at intervals. The elastic buckles are provided with mounting slots. The mounting slots are arranged in a direction away from the measuring turntable and are used to engage with one side of the model to be measured.

[0009] Furthermore, the indicator rod includes a fourth rod parallel to the first rod, and two sliding blocks are connected to the fourth rod. The sliding blocks are slidably mounted on the second rod and correspond one-to-one with the second rod.

[0010] Furthermore, the measuring turntable includes a first disc and a second disc, both of which are semi-circular in structure. The first disc and the second disc are coaxially arranged, with the first disc abutting against the first rod. The second disc is located on the side of the first disc away from the first rod. A rotating shaft is rotatably connected to both the first disc and the second disc. One end of the rotating shaft is provided with a locking protrusion, and the other end passes through the first rod, the first disc, and the second disc in sequence and is connected to the fixed rod.

[0011] Furthermore, the first rod body is rotatably connected to the two second rod bodies, the third rod body is rotatably connected to the two second rod bodies, and the fourth rod body is rotatably connected to the two sliding blocks via fasteners.

[0012] Furthermore, each of the fasteners connecting the fourth rod to the two sliding blocks is detachably connected with an elastic connecting rope, and the two elastic connecting ropes cooperate with the fourth rod to determine the three vertices of the angle.

[0013] Furthermore, the first rod, the third rod, and the fourth rod are all provided with a plurality of mounting holes at equal intervals, and the plurality of mounting holes are all used for the passage of the fastener; the two second rods are all provided with a plurality of fixing holes at equal intervals, and the sliding block is provided with fastening holes, the plurality of fixing holes and the fastening holes are all used for fixing the fastener.

[0014] Furthermore, a first locking member and a second locking member are fitted onto the rotating shaft. The first locking member is disposed between the latch and the first rod body to fix the position of the first rod body. The second locking member is disposed between the second disc body and the fixing rod to fix the position of the second disc body. Both the first locking member and the second locking member are threadedly connected to the rotating shaft.

[0015] Furthermore, the fixing rod is a long strip structure, and several elastic buckles are spaced apart along the length of the fixing rod.

[0016] Compared with the prior art, the beneficial technical effects of this utility model are as follows:

[0017] This utility model presents a teaching aid for displaying line-plane relationships and preliminary angle measurement. It is designed to enhance students' spatial imagination. Through the relative rotation of the movable adapter frame and the fixed base, it can be aligned with two skew lines in the model under test, providing a more intuitive display of the relationship between them. With the aid of a sliding indicator rod, the process of the skew lines moving to the same plane after alignment can be visually demonstrated, improving the dynamic nature of the display and enabling students to understand the relevant knowledge more quickly. The measuring turntable allows for direct measurement of the angle between skew lines, and the calculated results can be compared for comprehensive learning. This allows students to better combine theory with practice, increasing their understanding of spatial three-dimensional structures and effectively improving learning efficiency. Crucially, it visually demonstrates the formation process of line-plane relationships, laying the foundation for spatial imagination. Attached Figure Description

[0018] The present invention will be further described below with reference to the accompanying drawings.

[0019] Figure 1 This is a three-dimensional structural diagram of the teaching aid for demonstrating the line-plane relationship and preliminary angle measurement of this utility model;

[0020] Figure 2 This is a side view structural diagram of the teaching aid for demonstrating the line-plane relationship and preliminary angle measurement of this utility model;

[0021] Figure 3 For along Figure 2 Cross-sectional view of line AA in the middle;

[0022] Figure 4 for Figure 3 Enlarged structural diagram at point B;

[0023] Figure 5 This is a side view structural diagram of another embodiment of the teaching aid for displaying line-plane relationships and preliminary angle measurement of this utility model.

[0024] Figure 6 This is a cross-sectional view of the fixing rod portion in another embodiment of the present invention.

[0025] Explanation of reference numerals in the attached drawings: 1. Measuring turntable; 2. Fixed base; 3. Movable adapter frame; 4. Indicator rod; 5. Elastic connecting rope; 11. First disc body; 12. Second disc body; 13. Rotating shaft; 14. Locking protrusion; 15. First locking element; 16. Second locking element; 21. Fixed rod; 22. Elastic buckle; 31. First rod body; 32. Second rod body; 33. Third rod body; 41. Fourth rod body; 42. Sliding block; 43. Fastener; 131. Guide block; 211. Slide rail; 221. Mounting bayonet; 321. Fixing hole. Detailed Implementation

[0026] The core of this utility model is to provide a teaching tool for displaying the relationship between lines and planes and for preliminary measurement of angles. This tool can solve the problem that existing protractors cannot intuitively display the relationship between skew lines, which makes the calculation of the angle between skew lines difficult, causing students to have difficulty understanding and affecting their learning progress and efficiency.

[0027] The technical solutions of the present utility model will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only a part of the embodiments of the present utility model, and not all of them. Based on the embodiments of the present utility model, all other embodiments obtained by those of ordinary skill in the art without creative effort are within the protection scope of the present utility model.

[0028] In the description of this utility model, it should be understood that the terms "upper", "lower", "front", "rear", "left", "right", "top", "bottom", "inner", "outer", etc., indicate the orientation or positional relationship based on the orientation or positional relationship shown in the accompanying drawings. They are only for the convenience of describing this utility model and simplifying the description, and do not indicate or imply that the device or element referred to must have a specific orientation, or be constructed and operated in a specific orientation. Therefore, they should not be construed as limitations on this utility model.

[0029] Please refer to the following: Figures 1 to 5The present invention provides a specific embodiment of a teaching aid for displaying line-plane relationships and preliminary angle measurement. This teaching aid includes a graduated measuring turntable 1. A fixed base 2 is rotatably connected to one side of the measuring turntable 1, which is used to engage with one side of the model to be measured. A movable adapter 3 is rotatably connected to the other side of the measuring turntable 1, which is used to align with another side of the model to be measured. An indicator rod 4 is slidably connected to the movable adapter 3, and the indicator rod 4 slides along the movable adapter 3 towards or away from the measuring turntable 1.

[0030] For ease of explanation, please refer to Figure 1 A rectangular coordinate system is established with any point in space as the origin, the setting direction of the first rod 31 in the movable adapter 3 relative to the fixed seat 2 as the Z-axis, the setting direction of the fourth rod 41 in the indicator rod 4 as the Y-axis, and the straight line direction that is perpendicular to both the Y-axis and the Z-axis as the X-axis. The XY plane is a horizontal plane, the direction indicated on the horizontal plane is the horizontal direction, and the direction indicated by the Z-axis is the vertical direction.

[0031] In use, fix the fixed base 2 on one measuring edge of the model to be tested; rotate the movable adapter 3 so that the side of the movable adapter 3 away from the fixed base 2 is aligned with another measuring edge of the model to be tested; rotate the measuring turntable 1 to measure the angle between the side of the movable adapter 3 closest to the fixed base 2 and the fixed base 2; move the indicator rod 4 to more intuitively show students the relationship between the straight lines at both ends of the movable adapter 3, and the positional relationship after the skew lines are moved to the same plane, etc.; compare the measured angle with the theoretically calculated structure, and combine theory and practice to better grasp the relevant knowledge.

[0032] Compared with existing technologies, this teaching aid for displaying line-plane relationships and preliminary angle measurement, through the adaptation of the movable adapter 3 and the fixed base 2 with relative rotation, can be aligned with two skew lines in the model to be measured, thus more intuitively demonstrating the relationship between skew lines. With the assistance of the sliding indicator 4, the change process of the skew lines after alignment can be visually displayed as they move to the same plane, improving the dynamic capability of the display and enabling students to understand the relevant knowledge more quickly. The measuring turntable 1 allows for direct measurement of the angle between skew lines, and the students can compare the calculated results with their learning, enabling them to better combine theory with practice, increasing their understanding of spatial three-dimensional structures, and effectively improving learning efficiency.

[0033] In one specific embodiment of this utility model, the movable adapter 3 includes a first rod 31 rotatably connected to the measuring turntable 1, two second rods 32 rotatably connected to the first rod 31, the two second rods 32 being arranged in parallel; a third rod 33 rotatably connected between the two second rods 32, the third rod 33 being parallel to the first rod 31.

[0034] In this embodiment, the connection points between the first rod 31 and the two second rods 32, and the connection points between the third rod 33 and the two second rods 32 are connected sequentially to form a parallelogram.

[0035] In one specific embodiment of this utility model, the fixed base 2 includes a fixed rod 21 that is rotatably connected to the measuring turntable 1. The fixed rod 21 is provided with a plurality of elastic buckles 22 at intervals. The elastic buckles 22 are provided with mounting slots 221. The mounting slots 221 are set in a direction away from the measuring turntable 1 and are used to engage with one side of the model to be measured.

[0036] In this embodiment, the fixing rod 21 is an elongated structure, and a plurality of elastic buckles 22 are spaced apart along the length of the fixing rod 21; the elastic buckles 22 are fixed to the fixing rod 21. Anything that can achieve the aforementioned performance function of the elastic buckles 22 is within the scope of protection of this application.

[0037] In one specific embodiment of this utility model, the indicator rod 4 includes a fourth rod 41 parallel to the first rod 31. Two sliding blocks 42 are connected to the fourth rod 41. The sliding blocks 42 are slidably mounted on the second rod 32 and correspond one-to-one with the second rod 32.

[0038] In this embodiment, the sliding block 42 has a C-shaped structure, and the second rod 32 passes through the sliding block 42. The hole formed in the middle of the C-shaped structure of the sliding block 42 is adapted to the structure of the second rod 32. The first rod 31 is rotatably connected to the two second rods 32, the third rod 33 is connected to the two second rods 32, and the fourth rod 41 is connected to the two sliding blocks 42 by fasteners 43.

[0039] In one specific embodiment of this utility model, elastic connecting ropes 5 are detachably connected to the fasteners 43 connecting the fourth rod 41 and the two sliding blocks 42. The two elastic connecting ropes 5 cooperate with the fourth rod 41 to determine the three vertices of the angle. When performing equivalent substitution of angles in a real-world demonstration, the lengths of the two elastic connecting ropes 5 can be adjusted according to the size of the solid geometry, thereby forming a triangle with the fourth rod 41. For example, when used in measuring the angle between skew lines in a triangular pyramid, the fourth rod 41 is moved to the midpoint of the other two sides of the triangle containing the side to be measured. The ends of the two elastic connecting ropes 5 away from the fasteners 43 are fixed to the midpoint of the third side connected to the fourth rod 41. At this time, the two elastic connecting ropes 5 and the fourth rod 41 form a triangle. Based on the parallel relationship, the angle between the fourth rod 41 and the corresponding elastic connecting rope 5 can be determined as the angle between skew lines. This step can more intuitively demonstrate the analysis and solution logic and process of the angle between skew lines.

[0040] In this embodiment, the fastener 43 can be a bolt; the first rod 31, the third rod 33, and the fourth rod 41 are all provided with a plurality of mounting holes at equal intervals, all of which are for the fastener 43 to pass through; the two second rods 32 are all provided with a plurality of fixing holes 321 at equal intervals, and the sliding block 42 is provided with a fastening hole. Both the fixing holes 321 and the fastening holes can be threaded holes for fixing and connecting the fastener 43. The fastener 43 located on the sliding block 42 passes through the fourth rod 41 and is threadedly connected to the fastening hole on the sliding block 42. At this time, the fourth rod 41 can be moved up and down flexibly along the second rod 32; after the fastener 43 is rotated further so that it completely passes through the sliding block 42 and abuts against the second rod 32, the sliding block 42 can be fixed, thereby fixing the fourth rod 41. This structure is more flexible in operation, and the fourth rod 41 can be loosened and fixed as needed. In addition, the spacing between the four connection points in the movable adapter 3 can be adaptively adjusted according to the size of the model, making it more applicable and more flexible in use.

[0041] In one specific embodiment of this utility model, the measuring turntable 1 includes a first disc body 11 and a second disc body 12. Both the first disc body 11 and the second disc body 12 are semi-circular structures. The first disc body 11 and the second disc body 12 are coaxially arranged. The first disc body 11 abuts against the first rod body 31, and the second disc body 12 is located on the side of the first disc body 11 away from the first rod body 31. A rotating shaft 13 is rotatably connected to both the first disc body 11 and the second disc body 12. One end of the rotating shaft 13 is provided with a locking protrusion 14, and the other end passes through the first rod body 31, the first disc body 11 and the second disc body 12 in sequence and is connected to the fixing rod 21.

[0042] In this embodiment, a first locking member 15 and a second locking member 16 are fitted onto the rotating shaft 13. The first locking member 15 is disposed between the locking protrusion 14 and the first rod 31 to fix the position of the first rod 31. The second locking member 16 is disposed between the second disc 12 and the fixing rod 21 to fix the position of the second disc 12. Both the first locking member 15 and the second locking member 16 are threadedly connected to the rotating shaft 13. Both the first locking member 15 and the second locking member 16 can be nuts. The rotating shaft 13 is provided with threads.

[0043] In this embodiment, the fixed rod 21 is fixedly connected to the bottom of the rotating shaft 13. By rotating and adjusting the positions of the first locking member 15 and the second locking member 16, the fixed rod 21, the first disc 11, the second disc 12, and the first rod 31 can be fixedly limited. Through the elastic buckle 22, the fixed rod 21 and the rotating shaft 13 can rotate freely circumferentially along the side to be measured. Anything that can achieve the aforementioned performance functions of the first locking member 15 and the second locking member 16 is within the scope of protection of this application.

[0044] Compared to existing technologies, this teaching aid for demonstrating line-plane relationships and preliminary angle measurements can provide a direct demonstration of line-to-line, line-to-plane, and plane-to-plane relationships. This addresses a common challenge for high school students learning introductory solid geometry. Currently, the main difficulty lies in quickly constructing solid geometric shapes in their minds, making them tangible and imaginative. This teaching aid allows for the direct demonstration of knowledge, helping students quickly develop spatial concepts, stimulating interest, and enhancing abilities. By using the elastic connecting rope 5, a triangle is constructed, and the angle is calculated using the cosine theorem based on given conditions.

[0045] Please refer to the following: Figures 1 to 6 In one specific embodiment of this utility model, a slide rail 211 is provided on the fixed rod 21, and a sliding groove is provided on the slide rail 211. A guide block 131 is slidably mounted on the slide rail 211 at the bottom of the rotating shaft 13. The upper surface of the fixed rod 21 is arc-shaped, and the slide rail 211 is an arc-shaped track coaxial with the fixed rod 21. The slide rail 211 is arranged circumferentially along the fixed rod 21, and the guide block 131 is provided with an arc-shaped guide hole adapted to the slide rail 211. This structure allows the measuring turntable 1 and the movable adapter 3 to rotate more freely along the fixed rod 21 after the elastic buckle 22 is fixed on the side to be measured, better matching the position of the other side and making it more flexible to use.

[0046] In this embodiment, the first disc 11 and the second disc 12 are fixedly connected, and the second disc 12 is fixedly connected to the fixing rod 21. The fixing rod 21 is flush with the zero mark. This makes it easier to measure the initial angle value during use, making it more convenient to use.

[0047] The various embodiments in this specification are described in a progressive manner, with each embodiment focusing on its differences from other embodiments. Similar or identical parts between embodiments can be referred to interchangeably. For the apparatus disclosed in the embodiments, since they correspond to the methods disclosed in the embodiments, the description is relatively simple; relevant parts can be referred to the method section.

[0048] The embodiments described above are merely preferred embodiments of the present utility model and are not intended to limit the scope of the present utility model. Various modifications and improvements made to the technical solutions of the present utility model by those skilled in the art without departing from the spirit of the present utility model should fall within the protection scope defined by the claims of the present utility model.

Claims

1. A teaching aid for demonstrating line-plane relationships and preliminary angle measurement, characterized in that: The device includes a graduated measuring turntable (1), one side of which is rotatably connected to a fixed base (2) for engaging with one side of the model to be tested; the other side of which is rotatably connected to a movable adapter (3) for aligning with another side of the model to be tested; and an indicator rod (4) slidably connected to the movable adapter (3) for sliding along the movable adapter (3) toward or away from the measuring turntable (1).

2. The teaching aid for displaying line-plane relationships and preliminary angle measurement according to claim 1, characterized in that: The active adapter frame (3) includes a first rod (31) rotatably connected to the measuring turntable (1), two second rods (32) rotatably connected to the first rod (31), and the two second rods (32) are arranged in parallel; a third rod (33) rotatably connected between the two second rods (32) is parallel to the first rod (31).

3. The teaching aid for displaying line-plane relationships and preliminary angle measurement according to claim 2, characterized in that: The fixed base (2) includes a fixed rod (21) rotatably connected to the measuring turntable (1). The fixed rod (21) is provided with a plurality of elastic buckles (22) spaced apart. The elastic buckles (22) are provided with mounting slots (221). The mounting slots (221) are set in a direction away from the measuring turntable (1) and are used to engage with one side of the model to be measured.

4. The teaching aid for displaying line-plane relationships and preliminary angle measurement according to claim 3, characterized in that: The indicator rod (4) includes a fourth rod (41) parallel to the first rod (31). Two sliding blocks (42) are connected to the fourth rod (41). The sliding blocks (42) are slidably mounted on the second rod (32) and correspond one-to-one with the second rod (32).

5. The teaching aid for displaying line-plane relationships and preliminary angle measurement according to claim 4, characterized in that: The measuring turntable (1) includes a first disc body (11) and a second disc body (12). Both the first disc body (11) and the second disc body (12) are semi-circular structures. The first disc body (11) and the second disc body (12) are coaxially arranged. The first disc body (11) abuts against the first rod body (31). The second disc body (12) is located on the side of the first disc body (11) away from the first rod body (31). A rotating shaft (13) is rotatably connected to both the first disc body (11) and the second disc body (12). One end of the rotating shaft (13) is provided with a locking protrusion (14), and the other end passes through the first rod body (31), the first disc body (11), and the second disc body (12) in sequence and is connected to the fixed rod (21).

6. The teaching aid for displaying line-plane relationships and preliminary angle measurement according to claim 4, characterized in that: The first rod (31) is rotatably connected to the two second rods (32), the third rod (33) is rotatably connected to the two second rods (32), and the fourth rod (41) is rotatably connected to the two sliding blocks (42) by fasteners (43).

7. The teaching aid for displaying line-plane relationships and preliminary angle measurement according to claim 6, characterized in that: Elastic connecting ropes (5) are detachably connected to the fasteners (43) connecting the fourth rod (41) and the two sliding blocks (42). The two elastic connecting ropes (5) cooperate with the fourth rod (41) to determine the three vertices of the angle.

8. The teaching aid for displaying line-plane relationships and preliminary angle measurement according to claim 6, characterized in that: The first rod (31), the third rod (33), and the fourth rod (41) are all provided with a plurality of mounting holes at equal intervals, and the plurality of mounting holes are all used for the fastener (43) to pass through; the two second rods (32) are all provided with a plurality of fixing holes (321) at equal intervals, and the sliding block (42) is provided with fastening holes, and the plurality of fixing holes (321) and the fastening holes are all used for fixing the fastener (43).

9. The teaching aid for displaying line-plane relationships and preliminary angle measurement according to claim 5, characterized in that: The rotating shaft (13) is fitted with a first locking member (15) and a second locking member (16). The first locking member (15) is located between the latch (14) and the first rod (31) to fix the position of the first rod (31). The second locking member (16) is located between the second disc (12) and the fixing rod (21) to fix the position of the second disc (12). Both the first locking member (15) and the second locking member (16) are threadedly connected to the rotating shaft (13).

10. The teaching aid for demonstrating line-plane relationships and preliminary angle measurement according to any one of claims 3-9, characterized in that: The fixing rod (21) is a long strip structure, and a number of elastic buckles (22) are spaced apart along the length of the fixing rod (21).

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