CN103287173A - Drawing device with functions of set square, compass and angle gauge - Google Patents
Drawing device with functions of set square, compass and angle gauge Download PDFInfo
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- CN103287173A CN103287173A CN 201310154150 CN201310154150A CN103287173A CN 103287173 A CN103287173 A CN 103287173A CN 201310154150 CN201310154150 CN 201310154150 CN 201310154150 A CN201310154150 A CN 201310154150A CN 103287173 A CN103287173 A CN 103287173A
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- circle
- compasses
- set square
- radius
- plotting unit
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Abstract
The invention discloses a drawing tool. In order to solve the problem about deflection of charged particles in a magnetic field in physics in the senior high school, a compass, a set square and an angle gauge are usually needed to be matched for construction, which is difficult for students, and is not ideal in the problem solving effect, so that a drawing tool, which is simple and convenient, practical and efficient, is provided for overcoming the defect of the method. The drawing tool comprises two parts, including a left vertical part provided with millimeter scales and symbols, and a right (left) part, wherein the right (left) part is a group of concentric circles, and the center of the circles is a small hole with the diameter of 1 mm; inner-side and outer-side circles represent the motion tracks of the charged particles; small semi-circles on two sides of sawteeth of a cross beam of the concentric circles are taken as starting points of the tracks; and angle values are scaled on the group of concentric circles.
Description
Technical field
The present invention relates to teaching field, is a kind of drawing instrument.
Background technology
The problem that one class charged particle deflection in magnetic field is arranged in the high school physics, solving this type of problem often needs to cooperate mapping with compasses and ruler, and the student feels that difficulty is big, and the effect of solving a problem is undesirable.
Summary of the invention
In order to overcome the shortcoming of said method, the invention provides a kind of easy, practical, drawing instrument efficiently.The technical solution adopted in the present invention is: invention is made of two parts, and the left side (the right) be part vertically, and scale is arranged on it, and symbol is arranged, and represents the direction in positive and negative charge travel direction and magnetic field respectively.The right (left side) concentric circles, the center of circle is the aperture of a diameter 1mm, the inboard radius of a circle of first hollow out circle is 9.8mm, outside radius of a circle is 11.2mm, the inboard radius of a circle of second hollow out circle is 12.2mm, outside radius of a circle is 13.6mm, the inboard radius of a circle of the 3rd hollow out circle is 14.6mm, outside radius of a circle is 16.0mm, the inboard radius of a circle of the 4th hollow out circle is 17.0mm, outside radius of a circle is 18.4mm, the 5th hollow out circle inboard radius of a circle be 19.4mm, outside radius of a circle is 20.8mm, the inboard radius of a circle of the 6th hollow out circle is 21.8mm, outside radius of a circle is 23.2mm, the inboard radius of a circle of the 7th hollow out circle is 24.2mm, and outside radius of a circle is 25.6mm, and the inboard radius of a circle of the 8th hollow out circle is 26.6mm, outside radius of a circle is 28.0mm, and maximum radius of a circle is 30.0mm.The track of the interior outside circle expression charging particle movement of hollow out circle.The intersection point of the top edge of the crossbeam of close ruler and concentrically ringed interior outside circle is the starting point of track.The direction indication particle travel direction of ruler.Angle value is arranged on the concentric circles, is respectively that 0 degree, 30 degree, 45 degree, 60 degree, 90 degree, 120 degree, 135 degree, 150 degree, 180 degree, 210 degree, 225 degree, 240 degree, 270 degree, 300 degree, 315 degree, 330 degree, 360 degree overlap with 0 degree.
The present invention has simple and reasonable advantage easy to use, can significantly improve the efficient of solving a problem.
Description of drawings
2-1 is millimeter scale and numerical value.2-2 represents positively charged particle.2-3 represents electronegative particle.It is downward that 2-4 represents that magnetic field vertically has a plotting unit of set square compasses protractor function.2-5 represents that plotting unit that magnetic field vertically has a set square compasses protractor function upwards.2-6 is angle.2-7 is the concentrically ringed center of circle.
The positively charged particle of 2-2,2-4 combination expression moves along the direction of ruler in the magnetic field downward perpendicular to the plotting unit with set square compasses protractor function.
The positively charged particle of 2-2,2-5 combination expression moves along the direction of ruler in the magnetic field that makes progress perpendicular to the plotting unit with set square compasses protractor function.
The electronegative particle of 2-3,2-4 combination expression moves along the direction of ruler in the magnetic field downward perpendicular to the plotting unit with set square compasses protractor function.
The electronegative particle of 2-3,2-5 combination expression moves along the direction of ruler in the magnetic field that makes progress perpendicular to the plotting unit with set square compasses protractor function.
Fig. 1 is structural representation of the present invention.
Fig. 2 is structural representation of the present invention.
Fig. 3 is the schematic diagram of the exercise question that relates in embodiment one exercise question.
Fig. 4 is the schematic diagram of embodiment one alternative answer.
Fig. 5 is the schematic diagram of embodiment one alternative answer.
Fig. 6 is the schematic diagram of embodiment one alternative answer.
Fig. 7 is the schematic diagram of embodiment one alternative answer.。
Fig. 8 is the schematic diagram in the exercise question among the embodiment two.
Fig. 9 is the schematic diagram of exercise question among the embodiment three.
Figure 10 is the schematic diagram in embodiment three uses.
Figure 11 is the schematic diagram in embodiment four exercise questions.
Figure 12 is the schematic diagram in embodiment four uses.
Figure 13 is the schematic diagram in embodiment five exercise questions.
Figure 14 is the schematic diagram in embodiment five uses.
The specific embodiment
Below in conjunction with accompanying drawing the present invention is further described.Invention is made for steel (plastics).
Embodiment one (college entrance examination I (Hebei, Henan, Anhui, Shanxi) in 2005). as Fig. 3, above the dull and stereotyped MN of a horizontal positioned uniform magnetic field is arranged, the size of magnetic induction intensity is B, and magnetic direction is perpendicular to paper inwards.Many quality are+particle of q that along all directions that are positioned at paper, O injects field region by aperture with identical speed v for the m carried charge.Disregard gravity, disregard interparticle influencing each other.Dash area is represented the zone that charged particle may pass through among the following figure, wherein
Fig. 4, Fig. 5, Fig. 6, are four which figure of figure of Fig. 7 correct?
Use:
Draw straight line MN, determine the O point, choose 2-2,2-4 simultaneously makes progress, the speed of each particle is identical, so the orbital radius that moves in magnetic field is also identical, the starting point of choosing track 9 overlaps with the O point, the direction of ruler along MN to the right, the track that draws this moment, be that the center of circle is rotated counterclockwise certain angle then with O, the particle movement locus that draws constantly repeats said process, up to the ruler direction along MN left.So just being easy to the correct judgment option has been Fig. 4.
Embodiment two (college entrance examination Sichuan in 2007) as shown in Figure 8, in the border circular areas that dotted line surrounds, direction is arranged perpendicular to disc uniform magnetic field inwards, inject the different proton of a branch of speed from the A point at edge, magnetic field along radial direction, in the process that these particles move in magnetic field, correct in the following results is ()
A. run duration is more long, and its track is more long
B. run duration is more short, and the speed that penetrates magnetic field is more little
C. deflection is more little in magnetic field, and run duration is more short
D. all protons run duration in magnetic field all equates
Use:
Draw the figure in the exercise question earlier.Select 2-2,2-4 simultaneously to make progress.Make the starting point alignment A point of track 9, ruler points to the center of circle, magnetic field along velocity attitude.The track that draws is determined the center of circle.Select the less individual track starting point alignment A point of radius then, ruler points to the center of circle, magnetic field along velocity attitude, and the track that draws is determined the center of circle.Identical particle is done the uniform circular motion cycle in same magnetic field identical, irrelevant with speed.Relatively the right central angle of two these tracks can be dealt with problems.
As Fig. 9, there is uniform magnetic field in embodiment three (2004 Guangxi 18 topic) in the vacuum chamber, magnetic direction perpendicular to paper inwards, the big or small B=0.60T of magnetic induction intensity has a plane sense tabula rasa ab in the magnetic field, the plate face is parallel with magnetic direction, in the distance of distance ab
There is the αFang Sheyuan S of a point-like at the L=16cm place, and it is to all directions emission α particle, and the α particle's velocity all is v=3.0 * 10
6M/s, the ratio of the electric charge of known α particle and quality
Now a α particle that consideration is moved in the figure paper plane asks ab to go up the length in the zone that is hit by the α particle.
Use:
Can know that through calculating the orbital radius that particle moves is 20 centimetres in magnetic field, the schematic diagram of the exercise question that draws earlier represents that with 1.6 centimetres P to 16 centimetres of the distances of photographic plate, represents 20 centimetres of racetrack radiuses with 2 centimetres in the drawings.Select 2-2,2-4 simultaneously to make progress.Allow the interior rail starting point alignment P point of track 5, the interior rail radius of track 5 is 2 centimetres makes the ruler direction be parallel to the ab direction to the right, is that the center of circle is rotated counterclockwise with the P point, finds that the interior rail of track 5 is that particle is beaten leftmost position on ab with the tangent position of ab, the particle trajectory that draws is write down the center of circle.Continue rotation and find that diameter when the interior rail of track 5 with the crossing position of ab, is that particle is beaten rightmost position on ab.Write down the center of circle, particle trajectory draws.We have just determined that particle beats the scope on the ab plate like this.Figure 10.
Embodiment four (2010 new class mark 25 topics) as shown in figure 11,0≤x≤a,
Have in the scope perpendicular to the outside uniform magnetic field in xy plane, induction level is B.There is a particle source at the origin of coordinates 0 place, carving a large amount of quality of emission at a time is that m, the quantity of electric charge are the positively charged particle of q, their velocity magnitude is identical, velocity attitude is distributed in 0～90 ° of scope with the angle of y axle positive direction all in the xy plane. the radius that known particle moves in a circle in magnetic field between
Between a, the time of all leaving magnetic field experience from the emitted particle to the particle is particle 1/4th, in cycle (1) velocity magnitude when asking the particle that leaves magnetic field at last to penetrate from particle source that moves in a circle just in magnetic field; (2) velocity attitude and y axle positive direction angle sine.
Use:
Schematic diagram in the exercise question draws.Can make a=4 centimetre,
Centimetre, particle radii r=3 centimetre, select positive charge, the one side of field of points is upwards.Allow starting point alignment 0 point of track 9, ruler is along the Y-axis positive direction, the track that track 9 expression particles move in magnetic field.The particle that leaves magnetic field at last be certainly in magnetic field run duration the longest be the longest particle of track.Be that the center of circle turns clockwise that to observe the track of particle in magnetic field that penetrates along which direction the longest with the O point.Find that track is the longest in magnetic field when track 9 is tangent with the coboundary in magnetic field, draw track and the velocity attitude of this moment down, write down center of circle O
1With the eye point A of particle, connect OO
1, AO
1, find.OO
1, AO
1Angle be substantially 90 the degree, Figure 12. meet the meaning of the question, conveniently solve a problem.Embodiment five (college entrance examination I in 2008) Figure 13 has perpendicular to paper uniform magnetic field inwards induction level B=2.0 * 10 for measuring the rough schematic view than certain device of lotus in the first quartile zone
-3T, the P place apart from origin of coordinates L=0.50m on X-axis is the entrance port of ion, lays receiver at Y, existing with a positively charged particle with v=3.5 * 10
4The speed of m/s is injected magnetic field from P, if particle M place apart from origin of coordinates L=0.50m on the y axle is observed, and radius of motion is minimum just, and the quality of establishing charged particle is m, and electric weight is q, does not remember its gravity.
(1) asks the ratio lotus of above-mentioned particle
(2) if in above-mentioned particle motion process sometime, in first quartile, add a uniform electric field again, just can make it do linear uniform motion along y axle positive direction, ask the field intensity size and Orientation of this uniform electric field, and obtain and inject magnetic field from particle and pick up counting through how long adding this uniform electric field;
(3) in order to observe the above-mentioned particle of establishing the condition motion in order at the M place, the magnetic field in first quartile can be confined to ask the minimum area of this rectangle field region in the rectangular area, and this rectangle that draws in the drawings.
Use:
Draw schematic diagram in the exercise question is indicated P point and M point.Select 2-2,2-4 simultaneously to make progress.Allowing the starting point alignment P point of track 9, is that center of circle rotation allows track 9 by the M point with the P point, draws track down, writes down the center of circle.
Allowing the starting point alignment P point of other tracks again, is that center of circle rotation allows track by the M point with the P point, draws track down, writes down the center of circle.Up to the track that finds the radius minimum, discovery is to be the circle of diameter with PM.Draw track down, write down the center of circle, Figure 14.
Claims (8)
1. drawing instrument, title is the plotting unit with set square compasses protractor function, it is characterized in that: constituted by two parts, the vertical part in the left side, the right is one group of concentric circles.
2. the plotting unit with set square compasses protractor function according to claim 1 is characterized in that: vertical part (positive and negative) has millimeter scale and numerical value 2-1 on it.
3. the plotting unit with set square compasses protractor function according to claim 1 is characterized in that: vertically part (positive and negative) has symbols such as 2-2,2-3,2-4,2-5,2-6,2-7,2-8.
4. the plotting unit with set square compasses protractor function according to claim 1 is characterized in that: 2-1 is millimeter scale and numerical value; 2-2 represents positively charged particle; 2-3 represents electronegative particle; It is downward that 2-4 represents that magnetic field vertically has a plotting unit of set square compasses protractor function; 2-5 represents that plotting unit that magnetic field vertically has a set square compasses protractor function upwards; 2-6 is angle; 2-7 is the concentrically ringed center of circle;
The positively charged particle of 2-2,2-4 combination expression moves along the direction of ruler in the magnetic field downward perpendicular to the plotting unit with set square compasses protractor function;
The positively charged particle of 2-2,2-5 combination expression moves along the direction of ruler in the magnetic field that makes progress perpendicular to the plotting unit with set square compasses protractor function;
The electronegative particle of 2-3,2-4 combination expression moves along the direction of ruler in the magnetic field downward perpendicular to the plotting unit with set square compasses protractor function;
The electronegative particle of 2-3,2-5 combination expression moves along the direction of ruler in the magnetic field that makes progress perpendicular to the plotting unit with set square compasses protractor function.
5. the plotting unit with set square compasses protractor function according to claim 1, it is characterized in that: concentric circles, the center of circle is the aperture of a diameter 1mm, the inboard radius of a circle of first hollow out circle is 9.8mm, outside radius of a circle is 11.2mm, the inboard radius of a circle of second hollow out circle is 12.2mm, outside radius of a circle is 13.6mm, the inboard radius of a circle of the 3rd hollow out circle is 14.6mm, outside radius of a circle is 16.0mm, the inboard radius of a circle of the 4th hollow out circle is 17.0mm, and outside radius of a circle is 18.4mm, the 5th hollow out circle inboard radius of a circle be 19.4mm, outside radius of a circle is 20.8mm, the inboard radius of a circle of the 6th hollow out circle is 21.8mm, and outside radius of a circle is 23.2mm, and the inboard radius of a circle of the 7th hollow out circle is 24.2mm, outside radius of a circle is 25.6mm, the inboard radius of a circle of the 8th hollow out circle is 26.6mm, and outside radius of a circle is 28.0mm, and maximum radius of a circle is 30.0mm.
6. the plotting unit with set square compasses protractor function according to claim 1 is characterized in that: the track of the motion of outside circle expression charged particle in concentrically ringed; The direction indication particle travel direction of ruler.
7. the plotting unit with set square compasses protractor function according to claim 1 is characterized in that: near the top edge of straight crossbeam only and concentrically ringed in the intersection point of outside circle be the starting point of track.
8. the plotting unit with set square compasses protractor function according to claim 1 is characterized in that: angle value is arranged on the concentric circles.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 201310154150 CN103287173A (en) | 2013-04-17 | 2013-04-17 | Drawing device with functions of set square, compass and angle gauge |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 201310154150 CN103287173A (en) | 2013-04-17 | 2013-04-17 | Drawing device with functions of set square, compass and angle gauge |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN103287173A true CN103287173A (en) | 2013-09-11 |
Family
ID=49088908
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN 201310154150 Pending CN103287173A (en) | 2013-04-17 | 2013-04-17 | Drawing device with functions of set square, compass and angle gauge |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN103287173A (en) |
-
2013
- 2013-04-17 CN CN 201310154150 patent/CN103287173A/en active Pending
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Application publication date: 20130911 |