CN102411862B - Test device for circular triangle probability - Google Patents
Test device for circular triangle probability Download PDFInfo
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- CN102411862B CN102411862B CN 201110425419 CN201110425419A CN102411862B CN 102411862 B CN102411862 B CN 102411862B CN 201110425419 CN201110425419 CN 201110425419 CN 201110425419 A CN201110425419 A CN 201110425419A CN 102411862 B CN102411862 B CN 102411862B
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- vertex
- conical top
- test
- cone cylinder
- inner core
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- 238000012360 testing method Methods 0.000 title claims abstract description 40
- 239000011521 glass Substances 0.000 claims abstract description 4
- 230000015572 biosynthetic process Effects 0.000 claims description 4
- 239000000463 material Substances 0.000 claims description 3
- 229920003023 plastic Polymers 0.000 claims description 2
- 239000012780 transparent material Substances 0.000 abstract description 2
- 238000005259 measurement Methods 0.000 abstract 1
- 238000012795 verification Methods 0.000 abstract 1
- 239000011049 pearl Substances 0.000 description 14
- 238000000034 method Methods 0.000 description 7
- 230000007812 deficiency Effects 0.000 description 1
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Abstract
The invention relates to a test device for a circular triangle probability, belonging to the field of mathematical verification equipment. The device comprises a straight guide pipe, test balls, hollow pipes, a cylindrical inner cylinder with a conical top, a cylindrical outer cylinder with a conical top and a bottom plate, wherein the straight guide pipe is mounted at the top of the cylindrical outer cylinder with the conical top; the cylindrical inner cylinder with the conical top is sleeved on the inner side of the cylindrical outer cylinder with the conical top; the cylindrical inner cylinder with the conical top and the cylindrical outer cylinder with the conical top are concentric and are fixed through the bottom plate; the hollow pipes are mounted in a gap which is formed by the cylindrical inner cylinder with the conical top and the cylindrical outer cylinder with the conical top; and the three test balls are arranged. The test balls are round rubber balls and the whole device is made of glass or other transparent materials so that the test is convenient to observe; the bottom plate is round and is provided with a protractor with a measurement range of 360 degrees; the hollow pipes are fully distributed in the gap which is formed by the cylindrical inner cylinder with the conical top and the cylindrical outer cylinder with the conical top; and the conical top on the cylindrical inner cylinder with the conical top rightly faces to the circle center of the straight guide pipe. The device can be used for explaining and analyzing an abstract problem of circular triangle probability by means of a mould test and has the advantage of high accuracy.
Description
Technical field
The present invention relates to a kind of test unit, in particular for a kind of test unit of checking circular triangle probability, belong to mathematics Authentication devices field.
Background technology
This device is for a mathematics probability problem: gets arbitrarily three points on a circumference, connecting successively three points, what ask connecting formed triangle is that the probability of right-angle triangle, oxygon, obtuse triangle is respectively?
This problem is not a problem that can solve easily from the angle of probability, always also there are a lot of stakeholders to do parsing to this problem, but the answer of problem is various, so based on this situation, can make the model of a circular triangle probability cylinder that can be applicable to impart knowledge to students tests, with the resulting result value of test of many times, be test frequency, approach and hammer out theoretical value.
The method of using at present is integral method and graphic-arts technique substantially, and resulting result is not identical yet.So this device wants to use the principle of mathematical statistics to simulate this problem.
Summary of the invention
The purpose of this invention is to provide a kind of test device for circular triangle probability.
The problem to be solved in the present invention is that existing integral method and graphic-arts technique solve the deficiency that circular triangle probability problem result differs widely.
For realizing purpose of the present invention, the technical solution used in the present invention is:
Test device for circular triangle probability, comprise straight catheter, test pearl, hollow tubular, vertex of a cone cylinder inner core, vertex of a cone cylinder urceolus and base plate, vertex of a cone cylinder urceolus top is equipped with straight catheter, and it is inboard that vertex of a cone cylinder inner core is enclosed within vertex of a cone cylinder urceolus, both are concentric, are fixed by base plate; Hollow tubular is arranged in the space of vertex of a cone cylinder inner core and the formation of vertex of a cone cylinder urceolus, and the test pearl has three.
The test pearl is the round rubber pearl; The material of whole device all adopts glass or other transparent materials, so that experimental observation; Base plate is rounded, which is provided with protractor, and range is 360 °; Hollow tubular is covered with in the space that vertex of a cone cylinder inner core and vertex of a cone cylinder urceolus form, and the circular cone top of vertex of a cone cylinder inner core top is over against the center of circle of straight catheter.
Advantage of the present invention is: the present invention can be illustrated parsing with the method for model test with abstract circular triangle probability problem, and accuracy is high, has very high application value.
Description of drawings
Fig. 1 is the cut-open view of test device for circular triangle probability of the present invention;
Fig. 2 be test device for circular triangle probability A-A of the present invention to cut-open view;
Fig. 3 is the front view of test device for circular triangle probability hollow tubular of the present invention;
Fig. 4 is the front view of test device for circular triangle probability of the present invention;
In figure: 1, straight catheter 2, test pearl 3, hollow tubular 4, vertex of a cone cylinder inner core 5, vertex of a cone cylinder urceolus 6, base plate.
Embodiment
The present invention is further illustrated below in conjunction with drawings and Examples.
As shown in the figure, test device for circular triangle probability, comprise straight catheter 1, test pearl 2, hollow tubular 3, vertex of a cone cylinder inner core 4, vertex of a cone cylinder urceolus 5 and base plate 6, vertex of a cone cylinder urceolus 5 tops are equipped with straight catheter 1, vertex of a cone cylinder inner core 4 is enclosed within vertex of a cone cylinder urceolus 5 inboards, both are concentric, are fixed by base plate 6; Hollow tubular 3 is arranged in the space of vertex of a cone cylinder inner core 4 and 5 both formation of vertex of a cone cylinder urceolus, and test pearl 2 has three.
The using method of this device: three test pearls are put into from the top straight catheter 1 of device successively, due to the center of circle over against straight catheter 1, the circular cone top of vertex of a cone cylinder inner core 4 tops, make the direction of motion of test pearl 2 for random, test pearl 2 can roll down along the circular conical surface of vertex of a cone cylinder inner core 4, falls in the hollow tubular 3 that arranges.Be leg-of-mutton three summits on circumference (prerequisite: test pearl 2 quantity in hollow tubular 3 must not greater than 1), so just obtained a triangle.Then be determining of triangular type, base plate 6 below vertex of a cone cylinder inner core 4 is provided with protractor, the range of this protractor is 360 °, record three number of degrees of testing the pearl position, obtain three number of degrees and be respectively a, b, c, a＜b＜c＜360 ° wherein, the number of degrees with a add that 180 ° are compared with remaining two number of degrees afterwards, if a+180 ° equals b or c, this triangle is right-angle triangle, if b＜a+180 °＜c is oxygon, otherwise be obtuse triangle, so just completed determining of triangular type.Repeat above-mentioned steps, add up the number of times that all types of triangles occur, calculated rate.Along with the increase of test number (TN), frequency can more trend towards theoretical value, can draw correct probability.
Claims (3)
1. test device for circular triangle probability, comprise straight catheter (1), test pearl (2), hollow tubular (3), vertex of a cone cylinder inner core (4), vertex of a cone cylinder urceolus (5) and base plate (6), it is characterized in that: vertex of a cone cylinder urceolus (5) top is equipped with straight catheter (1), vertex of a cone cylinder inner core (4) is enclosed within vertex of a cone cylinder urceolus (5) inboard, both are concentric, are fixed by base plate (6); Hollow tubular (3) is arranged in the space of vertex of a cone cylinder inner core (4) and both formation of vertex of a cone cylinder urceolus (5), and test pearl (2) has three; Base plate (6) is rounded, which is provided with protractor, and range is 360 °; Hollow tubular (3) is covered with in the space of vertex of a cone cylinder inner core (4) and both formation of vertex of a cone cylinder urceolus (5); The circular cone top of vertex of a cone cylinder inner core (4) top is over against the center of circle of straight catheter.
2. test device for circular triangle probability according to claim 1, it is characterized in that: described test pearl (2) is the round rubber pearl.
3. test device for circular triangle probability according to claim 1, it is characterized in that: the material of whole described device all adopts glass or transparent plastic, so that experimental observation.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 201110425419 CN102411862B (en) | 2011-12-16 | 2011-12-16 | Test device for circular triangle probability |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 201110425419 CN102411862B (en) | 2011-12-16 | 2011-12-16 | Test device for circular triangle probability |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN102411862A CN102411862A (en) | 2012-04-11 |
| CN102411862B true CN102411862B (en) | 2013-06-12 |
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Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN 201110425419 Expired - Fee Related CN102411862B (en) | 2011-12-16 | 2011-12-16 | Test device for circular triangle probability |
Country Status (1)
| Country | Link |
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| CN (1) | CN102411862B (en) |
Families Citing this family (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103226906B (en) * | 2013-04-02 | 2015-01-07 | 诸暨市联系数学研究所 | Set pair analysis randomness source demonstration device |
Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US4048731A (en) * | 1976-08-24 | 1977-09-20 | Anastasia Baguioro | Educational game apparatus |
| CN2508326Y (en) * | 2002-01-31 | 2002-08-28 | 刘忠良 | Trigonometric functions unit circle mathematics teaching aid |
| CN101510370A (en) * | 2009-03-30 | 2009-08-19 | 西安电子科技大学 | Method and instrument for constructing tri-item probability distribution demonstration model |
| CN101630459A (en) * | 2009-08-19 | 2010-01-20 | 西安电子科技大学 | Coupled normal distribution probability demonstration instrument |
| CN201655097U (en) * | 2010-04-16 | 2010-11-24 | 王敏 | Circumferential angle demonstration device |
| CN202394418U (en) * | 2011-12-16 | 2012-08-22 | 浙江海洋学院 | Testing unit for verifying circumference triangle probability |
-
2011
- 2011-12-16 CN CN 201110425419 patent/CN102411862B/en not_active Expired - Fee Related
Patent Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US4048731A (en) * | 1976-08-24 | 1977-09-20 | Anastasia Baguioro | Educational game apparatus |
| CN2508326Y (en) * | 2002-01-31 | 2002-08-28 | 刘忠良 | Trigonometric functions unit circle mathematics teaching aid |
| CN101510370A (en) * | 2009-03-30 | 2009-08-19 | 西安电子科技大学 | Method and instrument for constructing tri-item probability distribution demonstration model |
| CN101630459A (en) * | 2009-08-19 | 2010-01-20 | 西安电子科技大学 | Coupled normal distribution probability demonstration instrument |
| CN201655097U (en) * | 2010-04-16 | 2010-11-24 | 王敏 | Circumferential angle demonstration device |
| CN202394418U (en) * | 2011-12-16 | 2012-08-22 | 浙江海洋学院 | Testing unit for verifying circumference triangle probability |
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| Publication number | Publication date |
|---|---|
| CN102411862A (en) | 2012-04-11 |
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Granted publication date: 20130612 Termination date: 20131216 |