CN206124551U - Chi is drawn to hyperbola - Google Patents

Abstract

The utility model provides a chi is drawn to hyperbola, including taking scale ruler 1, first vernier 2, second vernier 3, first rotatory chi 4, the rotatory chi of second 5, first inelastic drawings line 6, the inelastic drawing line 7 of second, adoption the utility model discloses a draw the chi hyperbola that can draw up fast, the step that needs to adjust is few, and the accuracy is high, and is easy and simple to handle.

Description

Hyperbola draws chi

Technical field

The utility model is related to a kind of drawing tool chi of conic section, more particularly to a kind of hyperbola draws chi.

Background technology

When student does one's exercises, it is often necessary to draw hyperbola, in order to quickly draw hyperbola, many people are developing related work Tool, but they need the step of adjusting many, accuracy are low, complex operation.Need to provide a kind of easy to use to student now Hyperbola draws chi.

Utility model content

The technical problems to be solved in the utility model is to provide a kind of few regulating step, high precision, hyperbolic simple to operate Line draws chi.

To solve above-mentioned technical problem, hyperbola of the present utility model draws chi includes ruler with a scale 1, ruler with a scale 1 one end of " 0 " calibration points 8 lower section has first to support 9, and other end lower section has second to support 10, the first rotation chi 4 and second The equal length of rotation chi 5, the rotation rotation chi 5 of chi 4 and second of ruler with a scale 1 and first company of pivot at " 0 " calibration points 8 Connect, the first rotation chi 4 and second rotates chi 5 in the lower section of ruler with a scale 1, at grade and with identical thickness, Have on ruler with a scale 1 and fix the first vernier 2, the second vernier 3 with through wires hole, the second vernier 3 is relative to the first trip , closer to pivotal connection side, the through wires hole on pivotal connection and the second vernier 3 and the first vernier 2 is in same straight line for mark 2 On, first inelastic one end for drawing line 6 is fixed at the first through wires hole 11 of the interior, distal end of the second rotation chi 5, through second The through wires hole of vernier 3, the other end is fixed on the through wires hole of the first vernier 2, and second inelastic one end for drawing line 7 is fixed on the At second through wires hole 12 of the one rotation interior, distal end of chi 4, through the through wires hole of the second vernier 3, the other end is fixed on the first vernier 2 Through wires hole on, the first through wires hole 11, the second through wires hole 12 and the first vernier 2, the through wires hole of the second vernier 3 are in same plane On, the first inelastic inelastic line length for drawing line 7 of line 6 and second of drawing is equal to the width that rotation chi length adds a vernier.

The beneficial effects of the utility model are can quickly to draw hyperbola curve when student does one's exercises, and need to adjust The step of it is few, accuracy is high, easy to operate.

Description of the drawings

Fig. 1 is the structural representation that hyperbola of the present utility model draws chi；

Fig. 2 is that hyperbola defines schematic diagram.

In Fig. 1：1 represents that ruler with a scale, 2 represent that the first vernier, 3 represent that the second vernier, 4 represent that first rotates chi, 5 tables Show that the second rotation chi, 6 represent that the first inelastic drafting line, 7 represent that the second inelastic drafting lines, 8 represent that " 0 " calibration points, 9 represent First supports, 10 represent that the second support, 11 represent that the first through wires holes, 12 represent the second through wires holes.

Specific embodiment

(it is schematically, there is no strict size corresponding relation between accompanying drawing) below in conjunction with the accompanying drawings and specific embodiment party Formula is described in further detail to the utility model, and the example below is only the exemplary theory to the specific embodiment of the invention Bright, those skilled in the art can carry out conventional replacement and change for the effect for realizing the present invention, and it is right to be not construed as The restriction of the scope of the present invention.

The utility model is further illustrated with reference to the accompanying drawings and examples.

According to《Regular senior secondary school's curricular standard test textbook mathematics takes as an elective course 2-1》(people teaches B versions) hyp definition：Plane It is interior to pinpoint F with two₁, F₂Distance difference absolute value be equal to constant (be less than | F₁F₂| and be not equal to the track of point zero) Do hyperbola.I.e.：||PF₁|-|PF₂| |=2a

As schemed：F₁And F₂It is hyp two focuses, with F₁For the center of circle, 2a is that radius draws circle, and A is the upper any point of circle, Connection F₁A and AF₂, it is AF₂Perpendicular bisector BP, hand over AF₂In B, F is handed over₁The extended line of A is in P.

∵ AP=PF₂

∴PF₁-PF₂=PF₁- AP=AF₁=2a

∴ P are the point on hyperbola.The movement locus of P points is hyperbola.Specifically can refer to accompanying drawing 2 to understand.

According to hyp definition, ruler with a scale and two rotation chis are pivotally connected by a screw, constitute one " individual " word shape.The movement of the second vernier on ruler with a scale is first passed through, hyp focal length, pivotal connection lower section is determined For F₁, the second vernier left side lower section is F₂, then by the movement of the first vernier, the right side of the second vernier 3 is made to the left side of the first vernier 2 The distance between be equal to 2a.Then F₁Point is arrived at nib and F₂The absolute value of the difference at point to nib is equal to 2a.By two focuses on chi Overlap with two focuses on drawing paper, side rotation chi is close on ruler with a scale, with nib inelastic drafting is caught on Line, is close to rotate chi inner side, tenses to " 0 " calibration points direction.Then rotation chi is pushed out with nib, then hyperbola is obtained The half image of one.Same operation, rotates another rotation chi, be obtained same it is hyp second half.Exchange hyperbola Focal position of the chi on drawing paper is drawn, same operation can draw hyp another.Reach quick and precisely drafting double The purpose of curve.

Specifically, the hyperbola of the application draws chi includes ruler with a scale 1, " 0 " calibration points 8 one of ruler with a scale 1 End lower section has first to support 9, and other end lower section has second to support 10, and the first rotation chi 4 and second rotates the length phase of chi 5 It is pivotally connected at " 0 " calibration points 8 Deng, ruler with a scale 1 and the first rotation rotation chi 5 of chi 4 and second, the first rotation He of chi 4 Second rotates chi 5 in the lower section of ruler with a scale 1, at grade and with identical thickness, on ruler with a scale 1 The first vernier 2, the second vernier 3 are fixed with through wires hole, the second vernier 3 is relative to the first vernier 2 closer to the company of pivot Place side is connect, on the same line, first inelastic paints the through wires hole on pivotal connection and the second vernier 3 and the first vernier 2 One end of line processed 6 is fixed at the first through wires hole 11 of the interior, distal end of the second rotation chi 5, through the through wires hole of the second vernier 3, separately One end is fixed on the through wires hole of the first vernier 2, and it is remote that second inelastic one end for drawing line 7 is fixed on the inner side of the first rotation chi 4 At second through wires hole 12 at end, through the through wires hole of the second vernier 3, the other end is fixed on the through wires hole of the first vernier 2, and first At through wires hole 11, the second through wires hole 12 and the first vernier 2, the through wires hole of the second vernier 3 at grade, first inelastic paint The inelastic line length for drawing line 7 of line processed 6 and second is equal to the width that rotation chi length adds a vernier.

During drawing, hyp F₁Point is two intersections for rotating chi, i.e., the position that the lower section of " 0 " calibration points 8 is pivotally connected Put, F₂Point is the leftward position of the second vernier 3.The two ends of ruler with a scale 1 support the effect of stable drafting chi.When using, first will Second vernier 3 slides into F₂Position is simultaneously fixed, to determine | F₁F₂| distance；Slide again the first vernier 2, makes the right side of the second vernier 3 2a is equal to the distance between the left side of the first vernier 2, the first vernier 2 is fixed.

The lower position of " 0 " calibration points 8 and the leftward position of the second vernier 3 that hyperbola draws chi are respectively aligned on drawing paper F₁And F₂Point, side rotation chi is close on ruler with a scale 1, and with nib inelastic drafting line is caught on, and is close to rotate in chi Side, tenses to the direction of " 0 " calibration points 8, and makes nib perpendicular to drawing paper.Rotation chi is pushed out with nib, while nib is protected The inelastic drafting line of tension is held, is close to rotate chi inner side, then obtain the half image of hyperbola one.Same operation, rotation is another One rotation chi, be obtained same it is hyp second half.Exchange " 0 " calibration points lower position and second that hyperbola draws chi The leftward position of vernier 3, the F being respectively aligned on drawing paper₂And F₁Point, same operation, can draw hyp another.

The hyperbola draws chi by adjusting two verniers to determine the length of focal length and setting-out, easy to operate, accuracy It is high；And two symmetrical rotation chis and isometric drafting line be set, it is to avoid single line draws hyperbola needs multiple turning tools The trouble brought and possible error.

Claims (1)

1. a kind of hyperbola draws chi, including ruler with a scale (1), " 0 " calibration points (8) one end lower section of ruler (1) with a scale (9) are supported with first, other end lower section has second to support (10), the length of the first rotation chi (4) and the second rotation chi (5) Equal, ruler (1) with a scale is pivotally connected with the first rotation chi (4) and the second rotation chi (5) at " 0 " calibration points (8) place, and first Rotation chi (4) and second rotates chi (5) in the lower section of ruler with a scale (1), at grade and with identical thickness, Have on ruler (1) with a scale and fix the first vernier (2), the second vernier (3) with through wires hole, the second vernier (3) relative to First vernier (2) is closer to pivotal connection side, the threading on pivotal connection and the second vernier (3) and the first vernier (2) On the same line, first inelastic one end for drawing line (6) is fixed on the first threading of the second rotation chi (5) interior, distal end in hole Hole (11) place, through the through wires hole of the second vernier (3), the other end is fixed on the through wires hole of the first vernier (2), and second is inelastic The one end for drawing line (7) is fixed on the second through wires hole (12) place of the first rotation chi (4) interior, distal end, through the second vernier (3) Through wires hole, the other end is fixed on the through wires hole of the first vernier (2), the first through wires hole (11), the second through wires hole (12) and the At one vernier (2), the through wires hole of the second vernier (3) at grade, the first inelastic line (6) and second of drawing inelastic is painted The line length of line (7) processed is equal to the width that rotation chi length adds a vernier.