CN113334973A - Ellipse and ellipse tangent drawing device and using method thereof - Google Patents
Ellipse and ellipse tangent drawing device and using method thereof Download PDFInfo
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- CN113334973A CN113334973A CN202110753315.3A CN202110753315A CN113334973A CN 113334973 A CN113334973 A CN 113334973A CN 202110753315 A CN202110753315 A CN 202110753315A CN 113334973 A CN113334973 A CN 113334973A
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B43—WRITING OR DRAWING IMPLEMENTS; BUREAU ACCESSORIES
- B43L—ARTICLES FOR WRITING OR DRAWING UPON; WRITING OR DRAWING AIDS; ACCESSORIES FOR WRITING OR DRAWING
- B43L11/00—Non-circular-curve-drawing instruments
- B43L11/02—Non-circular-curve-drawing instruments for drawing conic sections
- B43L11/04—Non-circular-curve-drawing instruments for drawing conic sections for drawing ellipses
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B43—WRITING OR DRAWING IMPLEMENTS; BUREAU ACCESSORIES
- B43L—ARTICLES FOR WRITING OR DRAWING UPON; WRITING OR DRAWING AIDS; ACCESSORIES FOR WRITING OR DRAWING
- B43L13/00—Drawing instruments, or writing or drawing appliances or accessories not otherwise provided for
- B43L13/001—Mathematical drawing instruments
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Abstract
The invention discloses an ellipse and ellipse tangent drawing device, which comprises a drawing assembly, a drawing assembly and a control assembly, wherein the drawing assembly is provided with a drawing module A for drawing an arc line and a drawing module B for drawing a straight line; the drawing module A comprises a main base, a concave block I which is rotatably arranged on the main base, a fixed gear which is fixedly connected with the main base and is positioned at the inner side of the concave block I, and a bevel gear I which is rotatably arranged in the concave block I and is meshed with the fixed gear. The ellipse and ellipse tangent drawing device and the using method thereof adopt the technical scheme of the application to verify the ellipse tangent and the focus M, can reduce the workload and the working time of a teacher, and are convenient for the learner to quickly find errors in the process of self-checking.
Description
Technical Field
The invention belongs to the field of teaching tools, and particularly relates to an ellipse and ellipse tangent drawing device and a using method thereof.
Background
With the continuous development of the times, the supporting facilities and tools used for teaching become one of the key directions concerned by the society of the present generation, wherein drawing tools such as compasses and the like used in the mathematical teaching are one of the common tools used in the teaching process, however, some disadvantages gradually appear in the using process of the traditional drawing tools, and the appearance of the disadvantages causes the traditional drawing tools to fail to meet the high standard using requirements in the prior art, and the disadvantages of the traditional drawing tools are specifically described as follows:
1. traditional drawing tool uses the compasses as the owner, its in-process at the drawing circle, only can adjust well the circle and draw, can't be according to the needs of teaching, draw the ellipse, and at the in-process of drawing, need be on the basis of handheld compasses by the staff, use a stabilizer blade and blackboard direct contact of compasses as the centre of a circle, rotate the compasses simultaneously and draw the circle, and at this pivoted in-process, if the area of required drawing circle is great, then very easily appear the phenomenon of the former centre of a circle of compasses skew, perhaps at the drawing circle in-process, the difficult rotation of compasses appears, the problem of the user's of not being convenient for operation.
2. In the conventional mathematical teaching process, if a tangent at a certain point in an ellipse is required, the tangent is converted by a complex tangent equation (the following webpage is provided herein for reference)
https:// zhidao.baidu.com/query/387206003. html), however, after the learner calculates a tangent line at a certain point of the ellipse by using the tangent line equation, the learner needs to check the conversion process of the formula and verify the tangent line and the focus M of the ellipse, thereby directly increasing the workload and the working time of the learner, and in the work of self-investigation of the learner, the learner needs to use the equation again to perform inverse calculation, and in the process, the learner cannot find errors existing in the conversion process of the learner.
In addition, the traditional drawing tool is still in a boring and tedious teaching state in the actual teaching process, and a teacher alone can teach knowledge on a platform and cannot interact with a learner, so that interesting teaching is achieved, and the purpose of teaching through lively activities is achieved.
In view of the above-mentioned technical problems, the present invention will now be further described and illustrated in conjunction with the prior art in the field:
the utility model discloses a patent "a teaching drawing circle and ellipse apparatus" (CN207535573U) is hereinafter referred to as contrast file 1 for short, its specific disclosure "increases the frictional force between unable adjustment base and the blackboard through the sucking disc when using, press rotatory handle, can make circular inner ring and blackboard surface contact, thereby fix whole drawing device activity on the blackboard, fall into two independent regions with elliptical groove and circular groove through the connecting axle, two chalks are located two regional mutually opposite both ends respectively, handheld rotatory handle this moment, rotate 180 alright completion drawing circle or ellipse. Although "comparison document 1 has solved the unable ellipse of drawing of traditional compasses to and drawing tool stability is relatively poor, the problem of be not convenient for operation in the use, however, when the technical scheme who uses comparison document 1 carries out circular and oval drawing work, the concrete radius of figure, specification can't be adjusted as required, if so, then the suitability of this scheme of restriction of very big limit, can't be promoted, used in teaching, the course of the work.
It should be noted that, the prior art in the field can only solve the above-mentioned "first technical problem", and the prior art still cannot solve the "second technical problem", so that the "second technical problem" becomes a technical difficulty that has not been solved in the field.
It can be seen that a new drawing tool designed to solve the above problems is highly desirable in the art.
Disclosure of Invention
In view of the above, the present invention provides an ellipse and ellipse tangent drawing device and a method for using the same, so as to solve the technical problem that the prior art has not solved so far, i.e., the ellipse tangent and the focus M cannot be verified quickly, and the teaching purpose of edutainment and interesting teaching cannot be achieved in the teaching work. The invention is realized by the following two technical schemes:
one aspect of the present invention
An elliptical and elliptical tangent drawing apparatus comprising a drawing assembly having a drawing module A for drawing an arc, and a drawing module B for drawing a straight line;
the drawing module A comprises a main base, a concave block I which is rotatably arranged on the main base, and a fixed gear which is fixedly connected with the main base and is positioned on the inner side of the concave block I, wherein a bevel gear I which is rotatably arranged and is meshed with the fixed gear is arranged in the concave block I, and the rotating plane of the bevel gear I is vertical to that of the concave block I;
the concave block I is provided with a rotating shaft I which is rotatably arranged and is coaxial with the bevel gear I, the rotating shaft I is fixedly connected with the bevel gear I, a measuring scale which is arranged in parallel with the rotating shaft I is arranged on the rotating shaft I, one end of the measuring scale is fixedly provided with a concave block II, one end of the rotating shaft I, which is close to the concave block II, penetrates into the concave block II, a rotating gear is fixedly sleeved at the penetrating end part, a bevel gear II meshed with the rotating gear is arranged in the concave block II, the rotating plane of the bevel gear II is vertical to the rotating plane of the rotating gear, a rotating shaft II is arranged on the concave block II corresponding to the axis of the bevel gear II, one end of the rotating shaft II penetrates to the outer side of the concave block II, it runs through the tip and is equipped with the movable block, be provided with the through-hole base on the movable block, have drawing pen clamping structure on this through-hole base, have the locking structure of mutually supporting between pivot II and the bevel gear II.
Further, the measuring scale comprises a sleeve I, a sleeve II and a telescopic inner plate, wherein the sleeve I and the sleeve II are horizontally distributed at intervals, the telescopic inner plate is connected with the end part of the sleeve II, the sleeve I is of a hollow structure with an open end face, the telescopic inner plate extends to the inner side of the sleeve I from the open end of the sleeve I, and the sleeve I and the sleeve II are locked and adjusted through locking pieces;
the rotating shaft I is provided with a telescopic structure and used for adjusting the length of the rotating shaft I.
Furthermore, the locking piece comprises a locking shell arranged on the sleeve I and a serrated plate arranged on the sleeve II and matched with the clamping body on the inner side of the locking shell;
the sawtooth plate and the locking shell are made of soft materials, and the elastic clamp body is tightly sleeved on the outer side of the locking shell.
Further, the axis direction of fixed gear to the one end extension of keeping away from concave piece I is provided with the dead lever, and the dead lever runs through near the one end in pivot I and dipperstick, the tip of running through of dead lever is provided with the sucking disc, and the sucking disc inboard is provided with the locating lever through the elastic component, and the terminal surface of locating lever has the turning block.
Further, one side that concave piece I was kept away from to main base is provided with the handle, and the one end that the handle was close to main base runs through main base and with concave piece I is connected, the cover is equipped with the slipmat on the handle.
Furthermore, the outer wall of part of the body part of the rotating shaft II, which is positioned on the inner side of the concave block II, is provided with an external thread I, a double-sided screw sleeve is sleeved on the rotating shaft II, the inner side surface of the double-sided screw sleeve is provided with an internal thread matched with the external thread I, the outer wall of the double-sided screw sleeve is provided with an external thread II, and a thread groove matched with the external thread II is formed in the bevel gear II;
and one end of the double-sided screw sleeve, which is far away from the bevel gear II, is provided with a twisting part.
Further, the side wall of the concave block I is provided with a sliding chute channel, the inner side of the sliding chute channel is provided with a sliding block in a sliding mode, the sliding chute channel and the sliding block are respectively provided with a threaded hole, and the two threaded holes in the sliding chute channel are arranged and are located at positions close to two ends of the sliding chute channel;
the drawing module B comprises a measuring support plate connected with a sliding block and a clamping piece used for clamping a drawing pen, the measuring support plate comprises at least one end movable plate and a middle movable plate, the end movable plate and the middle movable plate and two adjacent movable plates are connected in a pivoting mode, the end movable plate is hinged with the sliding block, the measuring support plate can be switched among three states of full opening, full folding and partial opening in a mode of rotating the movable plates and selectively kept in any one state of the three states, and the two adjacent movable plates are adjusted and fixed through a connecting piece;
the holder includes the sleeve pipe, and sleeve pipe tip has at least three elastic clamping plate along its circumference direction equidistance interval distribution, and the side of fly leaf disposes and is used for the gliding track groove of sleeve pipe, dispose the gliding sliding block of embedding to the track inslot on the sleeve pipe.
Furthermore, the drawing pen clamping structure includes a limiting needle hole penetrating through the side wall of the through hole base, and a limiting needle is arranged on the limiting needle hole.
Further, the drawing pen clamping structure includes two arc clamp bodies, two the articulated symmetry of arc clamp body sets up in the outer wall of through-hole base, be provided with the stereoplasm fastener on the radian face of arc clamp body, and two arc clamp bodies dispose from the locking piece.
Second invention
The application method of the ellipse and ellipse tangent drawing device comprises the following steps,
1) preparing for debugging;
I. inserting a chalk or a drawing pen into the inner side of the through hole base, and fixing the chalk or the drawing pen through a drawing pen clamping structure;
adjusting the position of the through hole base relative to the end part of the rotating shaft II as required;
drawing a perfect circle at the central position of the through hole base relative to the end part of the rotating shaft II;
secondly, drawing an ellipse by deviating the through hole base from the center position of the end part of the rotating shaft II;
adjusting the length of the measuring scale according to needs to draw circles with different radiuses;
2) drawing;
I. rotating the concave block I, and drawing the graph by using a chalk or a drawing pen on the through hole base;
3) checking the tangent of the ellipse;
I. drawing an circumscribed circle of the ellipse to be detected according to the step I;
II, drawing a line by using a drawing module B and drawing a line by using a focus M of the ellipse to be detected and a point Q outside the ellipse as a P line;
drawing an auxiliary circle R taking the P line as a straight line according to the drawing debugging work in the step 1 and the P line drawn in the step 3;
IV, drawing a straight line between the point F and the point Q through a drawing module B to form a line O, drawing a tangent point X between the point O and the ellipse, and drawing a line between the tangent point X and the point Q through the drawing module B to form a tangent line R;
v, checking whether the tangent R and the ellipse focus M in the conversion formula are different from the drawing shape drawn by the drawing device or not.
The invention has the beneficial effects that:
the ellipse and ellipse tangent drawing device and the using method thereof, firstly, fix chalk or other drawing pens on the inner side of the base of the through hole, draw the ellipse through the drawing module A, at this time, the learner calculates the focus M of the ellipse by himself and calculates the tangent line according to a certain point outside the ellipse and draws, the teacher or learner draws the circumcircle of the ellipse by using the drawing module A and further draws the auxiliary circle, draw a straight line by taking the intersection point of the circumcircle and the auxiliary circle and the certain point outside the ellipse, the point where the line intersects with the ellipse is the tangent point, the tangent point and the certain point outside the ellipse are drawn by the drawing module B, the line is the tangent line, thereby achieving the purpose of rapidly checking whether the tangent line drawn by the learner and the focus M of the ellipse have errors, and simultaneously strengthening interesting interactive learning of the teacher and the learner, achieving the purpose of interesting teaching and edutainment, in addition, the technical proposal of the application is adopted to verify the tangent line and the focus M of the ellipse, the work load and the work time of a teacher can be reduced, and the learner can conveniently and quickly find errors in the process in the self-checking process.
In short, this application technical scheme is through coherent and compact structure to the realization is just circular and oval to drawing, and can draw tangent line and focus M to the ellipse simultaneously and verify fast, reduce technical staff's in the field work load and operating time, improve work efficiency, will educate in happy, taste teaching and merge into in the teaching.
Additional advantages, objects, and features of the invention will be set forth in part in the description which follows and in part will become apparent to those having ordinary skill in the art upon examination of the following or may be learned from practice of the invention. The objectives and other advantages of the invention may be realized and attained by the means of the instrumentalities and combinations particularly pointed out hereinafter.
Drawings
FIG. 1 is a schematic perspective view of the present invention;
FIG. 2 is a schematic perspective view of the present invention II;
FIG. 3 is an enlarged view of a portion of FIG. 2;
FIG. 4 is a partial enlarged view of B in FIG. 2;
FIG. 5 is a schematic perspective view III of the present invention;
FIG. 6 is a schematic perspective view IV of the present invention;
FIG. 7 is a partial perspective view of a measurement plate of the present invention;
FIG. 8 is a partial perspective view of a measurement plate of the present invention II;
FIG. 9 is a schematic view of a clip according to an embodiment of the present invention as a retaining pin;
FIG. 10 is a schematic view showing a state in which the chalk is inserted into the through hole base in FIG. 9;
FIG. 11 is a schematic view I of an embodiment of the clamp of the present invention in the form of an arcuate clamp body;
FIG. 12 is a schematic view II of an embodiment of the clamp of the present invention in the form of an arcuate clamp body;
FIG. 13 is a schematic view III of an embodiment of the clamp of the present invention in the form of an arcuate clamp body;
FIG. 14 is a partial perspective view of a measurement plate of the present invention;
FIG. 15 is a partial perspective view of a balance plate of the present invention II;
FIG. 16 is a partial perspective view of a measurement plate of the present invention shown in FIG. III;
FIG. 17 is a top view of the measuring scale of FIG. 14 in accordance with the present invention;
FIG. 18 is a cross-sectional view of the invention taken in the direction of the locking housing A-A' of FIG. 17;
FIG. 19 is a partial perspective view of a fixation rod;
FIG. 20 is a partial sectional view of the main base;
FIG. 21 is a partial cross-sectional view of bevel gear II;
FIG. 22 is a drawing schematic of the present invention.
In the figure: 1. a rendering module A; 101. a main base; 102. a concave block I; 103. a fixed gear; 104. a bevel gear I; 105. a rotating shaft I; 106. a concave block II; 107. a bevel gear II; 108. a rotating gear; 109. A rotating shaft II; 1010. a movable block; 2. measuring a scale; 201. a sleeve I; 202. a sleeve II; 203. a telescopic inner plate; 3. a through hole base; 4. a locking member; 401. a serrated plate; 402. an elastic clip body; 403. locking the housing; 5. fixing the rod; 6. a suction cup; 7. an elastic member; 8. positioning a rod; 9. rotating the block; 10. a handle; 11. a non-slip mat; 12. double-sided thread sleeves; 13. a twisting part; 14. a chute channel; 15. a slider; 16. Measuring a support plate; 1601. an end movable plate; 1602. a middle movable plate; 17. a sleeve; 18. an elastic splint; 19. a slider; 20. a track groove; 21. a limit needle; 22. limiting a pinhole; 23. hard cards; 24. an arc-shaped clamp body; 25. a threaded nail; 26. a telescopic inner rod; 27. a telescopic loop bar; 28. a grip portion; 29. an elastic limit key; 30. saw teeth; 31. a card body; 32. a bearing I; 33. and a bearing II.
Detailed Description
The present invention will be described in further detail with reference to the accompanying drawings.
In one aspect of the present invention, a method for manufacturing a semiconductor device,
in the specific implementation: as shown in fig. 1 to 21, the elliptical and elliptical tangent drawing device includes a drawing assembly having a drawing module a1 for drawing an arc line, and a drawing module B for drawing a straight line;
the drawing module A comprises a main base 101, a concave block I102 which is rotatably arranged on the main base, a fixed gear 103 which is fixedly connected with the main base and is positioned at the inner side of the concave block I, a bevel gear I104 which is rotatably arranged and is meshed with the fixed gear is arranged in the concave block I, and the rotating plane of the bevel gear I is vertical to the rotating plane of the concave block I;
the concave block I is provided with a rotating shaft I105 which is rotatably arranged and is coaxial with the bevel gear I, the rotating shaft I is fixedly connected with the bevel gear I, the rotating shaft I is provided with a measuring ruler which is parallel to the rotating shaft I, one end of the measuring ruler is fixedly provided with a concave block II, one end of the rotating shaft I, which is close to the concave block II, penetrates into the concave block II, a rotating gear is fixedly sleeved at the penetrating end part, a bevel gear II107 which is meshed with the rotating gear is arranged in the concave block II106, the rotating plane of the bevel gear II is mutually vertical to the rotating plane of the rotating gear 108, the concave block II is provided with a rotating shaft II109 corresponding to the axis of the bevel gear II, one end of the rotating shaft II penetrates to the outer side of the concave block II, the penetrating end part is provided with a movable block, the movable block 1010 is provided with a through hole base, the through hole base 3 is provided with a drawing pen clamping structure, and a mutually matched locking structure is arranged between the rotating shaft II and the bevel gear II, here, referring to fig. 20, the outer ring of the bearing I32 is fixedly connected to the main base, a portion of the inner ring of the bearing I is fixedly connected to the concave block I, and a gear member is disposed between the main base and the concave block I and connected to the handle, so as to rotate the concave block I, and the fixed gear is at least partially connected to the main base, so that it can be seen that the fixed gear is fixedly connected to the main base, and the concave block I is formed with a hole through which the fixed gear at least partially passes, so as to rotate the concave block I and immobilize the fixed gear, and here, referring to fig. 21, an outer ring portion of the bearing II33 is fixedly connected to the bevel gear, and an inner ring portion of the bearing II is fixedly connected to the concave block II.
The measuring scale 2 comprises a sleeve I201, a sleeve II202 and a telescopic inner plate 203, wherein the sleeve I201 and the sleeve II202 are horizontally distributed at intervals, the telescopic inner plate is connected with the end part of the sleeve II, the sleeve I is of a hollow structure with an open end face, the telescopic inner plate extends to the inner side of the sleeve I from the open end of the sleeve I, and the sleeve I and the sleeve II are locked and adjusted through locking pieces;
the rotating shaft I is provided with a telescopic structure for adjusting the length of the rotating shaft I.
The locking piece 4 comprises a locking shell 403 arranged on the sleeve I and a serrated plate 401 arranged on the sleeve II and matched with the clamping body on the inner side of the locking shell, and sawteeth 30 on the serrated plate are clamped with the clamping body 31;
the serration plate and the locking shell are made of soft materials, and the elastic clamp 402 is tightly sleeved on the outer side of the locking shell.
Decide the axis direction of gear to the one end extension of keeping away from concave piece I is provided with dead lever 5, and the dead lever runs through pivot I and dipperstick near to the one end in pivot I, and the tip that runs through of dead lever is provided with sucking disc 6, and the sucking disc inboard is provided with locating lever 8 through elastic component 7, and the terminal surface of locating lever has turning block 9.
A handle 10 is arranged on one side of the main base far away from the concave block I, one end of the handle close to the main base penetrates through the main base and is connected with the concave block I, and an anti-skid pad 11 is sleeved on the handle;
the side wall of the concave block I is provided with a chute channel, the inner side of the chute channel 14 is provided with a slide block 15 in a sliding way, the chute channel and the slide block are respectively provided with a threaded hole, and the two threaded holes on the chute channel are arranged and are positioned at the positions close to the two ends of the chute channel;
the drawing module B comprises a measuring support plate 16 connected with a slide block and a clamping piece used for clamping a drawing pen, wherein the measuring support plate comprises at least one end movable plate 1601 and a middle movable plate 1602, the end movable plate and the middle movable plate and two adjacent movable plates are connected in a pivoting mode, the end movable plate is hinged with the slide block, the measuring support plate can be switched among three states of full opening, full folding and partial opening in a mode of rotating the movable plates and selectively kept in any state of the three states, and the two adjacent movable plates are adjusted and fixed through a connecting piece;
the clamping piece comprises a sleeve 17, at least three elastic clamping plates 18 are distributed at the end part of the sleeve at equal intervals along the circumferential direction of the sleeve, a track groove 20 used for sliding the sleeve is configured on the side surface of the movable plate, and a sliding block 19 embedded into the track groove to slide is configured on the sleeve.
Before the device is used, firstly, a drawing pen is placed on the inner side of the through hole base, the drawing pen is fixed through a drawing pen clamping structure, the length of a measuring scale is adjusted at the moment (a telescopic inner plate is moved in a telescopic way on the inner side of a sleeve I, after the telescopic inner plate is stretched, a serrated plate is stretched in a locking shell, a clamping body is clamped with sawteeth on the serrated plate, the phenomenon that the serrated plate is clamped due to the fact that the serrated plate cannot stretch in the locking shell can be avoided by further limiting soft materials of the serrated plate and the locking shell, and then the superposition position of the locking shell and the serrated plate is clamped and fixed through an elastic clamp body, so that the phenomenon that the serrated plate is loosened again to influence the using effect of the whole device is avoided), the telescopic structure on the rotating shaft I is a telescopic inner rod 26 and a telescopic loop bar 27 which are arranged in the middle of the rotating shaft I, the telescopic inner rod and the telescopic loop bar divide the rotating shaft I into two sections, the telescopic inner rod and the telescopic loop bar are respectively connected with the telescopic inner rods or the telescopic loop bars of different parts, the telescopic loop bar is of a hollow structure with one open end, the telescopic inner rod part extends to the inner side of the telescopic loop bar, the surface of the telescopic loop bar is also provided with at least two limiting holes communicated with the hollow inner side of the telescopic loop bar, the telescopic inner rod is provided with an elastic limiting key 29 clamped with the limiting holes, and when the length of the rotating shaft I needs to be adjusted, only the elastic limiting key needs to be clamped at the inner sides;
when the clamping and fixing of the drawing pen are finished and the length adjustment of the measuring scale and the rotating shaft I is finished, the position of the movable block relative to the rotating shaft II can be adjusted;
drawing a perfect circle at the central position of the through hole base relative to the end part of the rotating shaft II;
secondly, drawing an ellipse by deviating the through hole base from the center position of the end part of the rotating shaft II;
it should be emphasized here that the length of the sleeve I and the sleeve II of the measuring scale is unchanged, the length scale thereof is unique, and when the overall length of the measuring scale needs to be changed, the overall specification of the graph drawn by the measuring scale when the measuring scale is in use is calculated only by the length of the used telescopic inner plate (the scale is arranged on the telescopic inner plate), and it is further explained here that the start scale of the measuring scale starts from the positioning rod, and the end scale of the measuring scale extends to the concave block II and is opposite to the penetrating end of the rotating shaft II;
the side of the main base is provided with a hand grip part 28 for a user to hold the hand grip part for drawing operation, and the hand grip part is provided with a soft rubber pad for improving the hand comfort of the user;
the technical scheme includes that after the positioning rod points to the circle center of a drawn circle, the sucker is required to adsorb the blackboard, in the process, the elastic piece can also provide a certain buffer space to prevent the positioning rod from being damaged due to the fact that the positioning rod cannot be buffered and adjusted when the positioning rod points to the blackboard, and it needs to be noted that the hole diameter of a hole groove through which the fixing rod passes through the rotating shaft I and the measuring scale is larger than the diameter of the cross section of the fixing rod, in the rotating process of the concave block I, the fixing rod cannot influence the fixing rod, the main base and the concave block I are provided with annular grooves corresponding to the fixed gear, and part of the body of the fixed gear passes through the annular groove in the concave block I and extends to the inner side of the annular groove of the main base and is fixedly connected with the main base, so that the fixed gear is immovable when the concave block I rotates;
at the moment, the learner or the teacher calculates the focus M of the ellipse by using a conversion formula, and a tangent line of the ellipse is made at any point on the ellipse;
after the ellipse drawing is finished, drawing the ellipse circumcircle by using a drawing module A, taking a focus M and any point on the ellipse, and drawing a straight line of the two points by using a drawing module B (firstly, sliding a slide block to the bottom of a slide groove channel until the position of a measuring support plate is closer to a blackboard relative to a positioning rod, then screwing a screw into the slide groove channel and the inner side of a threaded hole of the slide block to achieve the purpose of fixing the slide block, at the moment, unfolding different movable plates according to requirements until the whole length of the unfolded movable plates is greater than the length of a required drawing straight line, at the moment, plugging a drawing pen into the sleeve, clamping the drawing pen by an elastic clamping plate, at the moment, embedding the slide block into the inner side of the closest track groove, at the moment, starting the drawing pen at a certain point until drawing to another point is finished, and at the moment, wherein the end movable plates or the middle movable plate are provided with open grooves, after different movable plates are unfolded or folded, the middle movable plate is provided with a screw rod capable of extending to the inner side of the open slot, a person skilled in the art can penetrate the open slot and then use a nut to screw and fix the screw rod to achieve the purpose of fixing the movable plates, the technical scheme of the application adopts a mode of weighing a support plate, folding and unfolding and drawing, and the end movable plates are hinged with the slide block, so that the straight line drawing in different directions can be greatly met, and the drawing module can refer to the attached drawing 5, further limit the drawing module B to be positioned at the middle position of the side wall of the concave block I, so that the drawing module B can be quickly aligned with a focus M on an ellipse to perform the straight line drawing work, when the focus M is completely drawn with a straight line connected with any point on the ellipse, the drawing module A is used for making an auxiliary circle with the straight line, and then the drawing straight line (drawing module B) is drawn with any point on the ellipse where the auxiliary circle intersects with an circumcision circle, the straight line is an ellipse tangent line made at any point on the ellipse;
rapidly drawing an ellipse through the drawing module A and the drawing module B, and checking whether the obtained focus M and the circumscribed circle are converted correctly;
referring to fig. 20, the main base is connected to the concave block I through a gear transmission structure.
In this embodiment: the outer wall of part of the body part of the rotating shaft II, which is positioned at the inner side of the concave block II, is provided with an external thread I, the rotating shaft II is sleeved with a double-sided screw sleeve 12, the inner side surface of the double-sided screw sleeve is provided with an internal thread matched with the external thread I, the outer wall of the double-sided screw sleeve is provided with an external thread II, a thread groove matched with the external thread II is formed in the bevel gear II, one end, far away from the movable block, of the rotating shaft II penetrates through the bevel gear II and the concave block II and extends to the outer side of the concave block II, and a rubber sleeve is arranged on the penetrating part;
one end of the double-sided thread insert, which is far away from the bevel gear II, is provided with a twisting part 13;
when an ellipse and an excircle need to be drawn, a person skilled in the art only needs to pinch the screwing part with a hand, and then the double-sided screw sleeve is rotated to rotate towards the direction of the bevel gear II until the double-sided screw sleeve rotates to extend into the inner side of a thread groove on the bevel gear II, and at the moment, the rotating gear rotates to drive the rotating shaft II to rotate together through the bevel gear II;
when the ellipse and the circumscribed circle do not need to be drawn, and only when the auxiliary circle and other common circles need to be drawn, the double-sided screw sleeve can be reversely rotated, so that the double-sided screw sleeve is screwed out of the inner side of the thread groove, the rubber sleeve is held by hands at the moment to rotate the rotating shaft II, the through hole base and other structures on the movable block can be rotated, the purpose of rapidly drawing the circle is achieved, and the movable block also has a telescopic structure, and the length of the movable block can be adjusted according to needs.
In this embodiment: the chalk clamping structure comprises a limiting pinhole 22 penetrating through the side wall of the through hole base, and a limiting needle 21 is arranged on the limiting pinhole, so that when chalk is used for drawing, the chalk can be placed on the inner side of the through hole base, the chalk penetrates through the limiting pinhole by utilizing the limiting effect, and the chalk is inserted out of the limiting pinhole, and the purpose of fixing the chalk is achieved.
In this embodiment: the painting pen clamping structure comprises two arc-shaped clamps 24, the two arc-shaped clamps are hinged and symmetrically arranged on the outer wall of a through hole base, hard clamping pieces 23 are arranged on the radian surfaces of the arc-shaped clamps, self-locking pieces are arranged on the two arc-shaped clamps, a user puts chalks into the through hole base firstly, then the arc-shaped clamps are rotated, the hard clamping pieces extend into the body parts of the chalks (the hard clamping pieces can be blades or other stainless steel materials), threaded nails 25 are arranged on the two arc-shaped clamps for locking, the arc-shaped clamps can be fixed, the purpose of fixing the chalks is achieved, the embodiment and the embodiment use limit fix the chalks, the use.
In the second aspect of the present invention, in practice,
referring to fig. 22, the method for using the ellipse and ellipse tangent drawing device includes the following steps,
1) preparing for debugging;
I. inserting a chalk or a drawing pen into the inner side of the through hole base, and fixing the chalk or the drawing pen through a drawing pen clamping structure;
adjusting the position of the through hole base relative to the end part of the rotating shaft II as required;
drawing a perfect circle at the central position of the through hole base relative to the end part of the rotating shaft II;
secondly, drawing an ellipse by deviating the through hole base from the center position of the end part of the rotating shaft II;
adjusting the length of the measuring scale according to needs to draw circles with different radiuses;
2) drawing;
I. rotating the concave block I, and drawing the graph by using a chalk or a drawing pen on the through hole base;
the teacher can draw the ellipse in advance, and after the ellipse is drawn, the learner calculates the focus M and the tangent of the ellipse;
3) checking the tangent of the ellipse;
I. drawing an circumscribed circle of the ellipse to be detected according to the step I;
II, drawing a line by using a drawing module B and drawing a line by using a focus M of the ellipse to be detected and a point Q outside the ellipse as a P line;
drawing an auxiliary circle R taking the P line as a straight line according to the drawing debugging work in the step 1 and the P line drawn in the step 3;
here the circumscribed circle and the auxiliary circle R are drawn by the learner using the rendering module a;
IV, drawing a straight line between the point F and the point Q through a drawing module B to form a line O, drawing a tangent point X between the point O and the ellipse, and drawing a line between the tangent point X and the point Q through the drawing module B to form a tangent line R;
v, checking whether the tangent R and the ellipse focus M in the conversion formula are different from the drawing shape of the drawing device or not, matching the tangent drawn by the learner with the calculated tangent to see whether the tangent is consistent or not, and if the tangent is different, the calculated focus M or the tangent of the learner has errors.
The above is only a preferred embodiment of the present invention, and it should be noted that, for those skilled in the art, several modifications and improvements can be made without departing from the technical scope of the present invention.
Claims (10)
1. Ellipse and ellipse tangent drawing device, its characterized in that: the device comprises a drawing assembly, a control module and a control module, wherein the drawing assembly is provided with a drawing module A for drawing an arc line and a drawing module B for drawing a straight line;
the drawing module A comprises a main base, a concave block I which is rotatably arranged on the main base, and a fixed gear which is fixedly connected with the main base and is positioned on the inner side of the concave block I, wherein a bevel gear I which is rotatably arranged and is meshed with the fixed gear is arranged in the concave block I, and the rotating plane of the bevel gear I is vertical to that of the concave block I;
the concave block I is provided with a rotating shaft I which is rotatably arranged and is coaxial with the bevel gear I, the rotating shaft I is fixedly connected with the bevel gear I, a measuring scale which is arranged in parallel with the rotating shaft I is arranged on the rotating shaft I, one end of the measuring scale is fixedly provided with a concave block II, one end of the rotating shaft I, which is close to the concave block II, penetrates into the concave block II, a rotating gear is fixedly sleeved at the penetrating end part, a bevel gear II meshed with the rotating gear is arranged in the concave block II, the rotating plane of the bevel gear II is vertical to the rotating plane of the rotating gear, a rotating shaft II is arranged on the concave block II corresponding to the axis of the bevel gear II, one end of the rotating shaft II penetrates to the outer side of the concave block II, it runs through the tip and is equipped with the movable block, be provided with the through-hole base on the movable block, have drawing pen clamping structure on this through-hole base, have the locking structure of mutually supporting between pivot II and the bevel gear II.
2. The ellipse and ellipse tangent drawing device of claim 1, wherein: the measuring scale comprises a sleeve I, a sleeve II and a telescopic inner plate, wherein the sleeve I and the sleeve II are horizontally distributed at intervals, the telescopic inner plate is connected with the end part of the sleeve II, the sleeve I is of a hollow structure with an open end face, the telescopic inner plate extends to the inner side of the sleeve I from the open end of the sleeve I, and the sleeve I and the sleeve II are locked and adjusted through locking parts;
the rotating shaft I is provided with a telescopic structure and used for adjusting the length of the rotating shaft I.
3. The ellipse and ellipse tangent drawing device of claim 2, wherein: the locking piece comprises a locking shell arranged on the sleeve I and a serrated plate arranged on the sleeve II and matched with the clamping body on the inner side of the locking shell;
the sawtooth plate and the locking shell are made of soft materials, and the elastic clamp body is tightly sleeved on the outer side of the locking shell.
4. The ellipse and ellipse tangent drawing device of claim 1, wherein: the axis direction of fixed gear to keep away from the one end extension of concave piece I and be provided with the dead lever, and the dead lever runs through near the one end in pivot I and dipperstick, the tip that runs through of dead lever is provided with the sucking disc, and the sucking disc inboard is provided with the locating lever through the elastic component, and the terminal surface of locating lever has the turning block.
5. The ellipse and ellipse tangent drawing device of claim 1, wherein: one side that concave piece I was kept away from to main base is provided with the handle, and the handle is close to the one end of main base and runs through main base and with concave piece I is connected, the cover is equipped with the slipmat on the handle.
6. The ellipse and ellipse tangent drawing device of claim 1, wherein: the outer wall of part of the body part of the rotating shaft II, which is positioned on the inner side of the concave block II, is provided with an external thread I, the rotating shaft II is sleeved with a double-sided screw sleeve, the inner side surface of the double-sided screw sleeve is provided with an internal thread matched with the external thread I, the outer wall of the double-sided screw sleeve is provided with an external thread II, and the bevel gear II is provided with a thread groove matched with the external thread II;
and one end of the double-sided screw sleeve, which is far away from the bevel gear II, is provided with a twisting part.
7. The ellipse and ellipse tangent drawing device of claim 1, wherein: the side wall of the concave block I is provided with a chute channel, the inner side of the chute channel is provided with a sliding block in a sliding way, the chute channel and the sliding block are respectively provided with a threaded hole, and the two threaded holes on the chute channel are arranged and are positioned at the positions close to the two ends of the chute channel;
the drawing module B comprises a measuring support plate connected with a sliding block and a clamping piece used for clamping a drawing pen, the measuring support plate comprises at least one end movable plate and a middle movable plate, the end movable plate and the middle movable plate and two adjacent movable plates are connected in a pivoting mode, the end movable plate is hinged with the sliding block, the measuring support plate can be switched among three states of full opening, full folding and partial opening in a mode of rotating the movable plates and selectively kept in any one state of the three states, and the two adjacent movable plates are adjusted and fixed through a connecting piece;
the holder includes the sleeve pipe, and sleeve pipe tip has at least three elastic clamping plate along its circumference direction equidistance interval distribution, and the side of fly leaf disposes and is used for the gliding track groove of sleeve pipe, dispose the gliding sliding block of embedding to the track inslot on the sleeve pipe.
8. The ellipse and ellipse tangent drawing device of claim 1, wherein: the drawing pen clamping structure comprises a limiting needle hole penetrating through the side wall of the through hole base, and a limiting needle is arranged on the limiting needle hole.
9. The ellipse and ellipse tangent drawing device of claim 1, wherein: the drawing pen clamping structure comprises two arc-shaped clamping bodies, wherein the arc-shaped clamping bodies are symmetrically arranged on the outer wall of the through hole base in an articulated mode, hard clamping pieces are arranged on the radian surfaces of the arc-shaped clamping bodies, and the two arc-shaped clamping bodies are provided with self-locking pieces.
10. Use of the elliptical and elliptical tangent rendering devices of any of claims 1-9, characterized in that: the specific steps are as follows,
1) preparing for debugging;
I. inserting a chalk or a drawing pen into the inner side of the through hole base, and fixing the chalk or the drawing pen through a drawing pen clamping structure;
adjusting the position of the through hole base relative to the end part of the rotating shaft II as required;
drawing a perfect circle at the central position of the through hole base relative to the end part of the rotating shaft II;
secondly, drawing an ellipse by deviating the through hole base from the center position of the end part of the rotating shaft II;
adjusting the length of the measuring scale according to needs to draw circles with different radiuses;
2) drawing;
I. rotating the concave block I, and drawing the graph by using a chalk or a drawing pen on the through hole base;
3) checking the tangent of the ellipse;
I. drawing an circumscribed circle of the ellipse to be detected according to the step I;
II, drawing a line by using a drawing module B and drawing a line by using a focus M of the ellipse to be detected and a point Q outside the ellipse as a P line;
drawing an auxiliary circle R taking the P line as a straight line according to the drawing debugging work in the step 1 and the P line drawn in the step 3;
IV, drawing a straight line between the point F and the point Q through a drawing module B to form a line O, drawing a tangent point X between the point O and the ellipse, and drawing a line between the tangent point X and the point Q through the drawing module B to form a tangent line R;
v, checking whether the tangent R and the ellipse focus M in the conversion formula are different from the drawing shape drawn by the drawing device or not.
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Application publication date: 20210903 |