CN108257458A - A kind of mathematical education probability demonstration teaching aid - Google Patents

Abstract

The present invention relates to a kind of mathematical education probability demonstration teaching aids, including round iron box, round iron bucket, several demonstration balls, clamping screw, locking pin, multiple magnet, round iron box includes box body and box cover, box cover includes round table-like cover and cover rim, clamping screw includes bolt head and screw rod, box body is internally provided with multiple partition boards, the outer cover of screw rod is equipped with and the one-to-one axle sleeve of partition board, the outside of box body is additionally provided with and the matched nut of screw rod, locking pin includes square bar, round bar, rectangular baffle, the center of top of cover is provided with and the matched rectangular holding tank of baffle, the slot bottom center of holding tank is provided with the second through-hole of circle for square bar and round bar disengaging, it is provided at the top of bolt head and the matched rectangular blind hole of square bar.The mathematical education is easy to operate with probability demonstration teaching aid, can demonstrate kinds of experiments as a result, helping to improve understanding and Grasping level of the student to probability, promotes effect of giving lessons.

Description

A kind of mathematical education probability demonstration teaching aid

Technical field

The present invention relates to a kind of mathematical education probability demonstration teaching aids, belong to teaching aid technical field.

Background technology

Probability is the concept that people define according to the rule that chance event occurs, and in mathematical education, teacher is makes Knowledge in terms of the more intuitive study to probability of student, often through some practical probability lecture experiments, wherein most often do It is to throw coin experiment, i.e., by repeatedly throwing coin, counts to obtain the positive and negative probability upwardly of coin and be approximately equal to half.With The number for throwing coin is more, counts to obtain the positive and negative probability upwardly of coin also just closer to half.In order to obtain The positive and negative probability upwardly of coin is equal to experimental result as half, needs to carry out many experiments.

Current throwing coin experiment is more single, can only demonstrate a kind of probability distribution situation of experimental result, this mode So that student is not high to the understanding of probability and Grasping level, teacher is also very painstaking during explanation.Therefore, it is badly in need of one The teaching aid that kind can demonstrate kinds of experiments result carries out cooperation teaching.

Invention content

The present invention is in view of the deficienciess of the prior art, provide a kind of mathematical education probability demonstration teaching aid, specific skill Art scheme is as follows：

A kind of mathematical education probability demonstration teaching aid, including round iron box, round iron bucket, several demonstration ball, clamping screw, lock pins Axis, multiple magnet, the round iron box include box body and box cover, and the box cover includes round table-like cover and cover rim, the cover rim Side and the top of box body are hinged, and the bottom of the box body is arranged on the inside of round iron bucket and the bottom of box body and the top of round iron bucket Portion is threadedly coupled；The clamping screw includes bolt head and screw rod, and the cassette bottom center of the box body is provided with wears for screw rod tail end The first through hole gone out, the box body are internally provided with multiple partition boards, and the outer cover of the screw rod is equipped with to be corresponded with partition board Axle sleeve, the side of the partition board is fixedly connected with the lateral wall of axle sleeve, and the bolt head is arranged on the top of axle sleeve, the box The outside of body is additionally provided with to be connect with the matched nut of screw rod, the nut with screw flight；The locking pin includes side Bar, round bar, rectangular baffle, the tail end of the square bar and the head end of round bar are connected as one, and the round bar is mutually perpendicular to baffle, It is fixedly connected in the middle part of the tail end of the round bar and baffle, the center of top of the cover is provided with matched rectangular with baffle Holding tank, the slot bottom center of the holding tank are provided with the second through-hole of circle for square bar and round bar disengaging, the bolt head Top is provided with and the matched rectangular blind hole of square bar.

As an improvement of the above technical solution, the cassette bottom of the box body is additionally provided with the scale mark for representing angle, described Scale indicates the inside for being arranged on box body.

As an improvement of the above technical solution, the bucket bottom of the round iron bucket is provided with the groove for accommodating locking pin, described Groove is located at the inside of round iron bucket, and the inner wall of the groove is installed with spongy layer.

As an improvement of the above technical solution, it is installed with handle on the outside of the nut.

As an improvement of the above technical solution, it is additionally provided with rubber sleeve between the bolt head and axle sleeve.

As an improvement of the above technical solution, it is clearance fit between the axle sleeve and screw rod.

As an improvement of the above technical solution, it is clearance fit between the baffle and holding tank.

As an improvement of the above technical solution, the groove depth of the holding tank is greater than or equal to the thickness of baffle.

As an improvement of the above technical solution, it is clearance fit between the square bar and blind hole.

Mathematical education of the present invention is easy to operate with probability demonstration teaching aid, can demonstrate kinds of experiments as a result, having tested Cheng Houneng obtains a large amount of statistical result, and can be vivid be shown, teacher is facilitated to carry out probability distribution real Example explanation, helps to improve understanding and Grasping level of the student to probability so that significant effect of giving lessons is promoted.

Description of the drawings

Fig. 1 is schematic diagram when mathematical education of the present invention does not install locking pin with probability demonstration teaching aid；

Fig. 2 is schematic diagram when mathematical education of the present invention is equipped with locking pin with probability demonstration teaching aid；

Fig. 3 is box body structure schematic diagram of the present invention（Vertical view state）；

Fig. 4 is that the scale in box body cassette bottom of the present invention indicates schematic diagram；

Fig. 5 is schematic diagram when locking pin of the present invention is placed on groove；

Fig. 6 is locking pin structure diagram of the present invention（Side view state）.

Specific embodiment

In order to make the purpose , technical scheme and advantage of the present invention be clearer, with reference to the accompanying drawings and embodiments, it is right The present invention is further elaborated.It should be appreciated that the specific embodiments described herein are merely illustrative of the present invention, and It is not used in the restriction present invention.

As shown in Fig. 1,2,3,6, mathematical education probability demonstration teaching aid, including round iron box, round iron bucket 3, several Ball 4, clamping screw, locking pin 6, multiple magnet 7 are demonstrated, the round iron box includes box body 1 and box cover, and the box cover includes circle Mesa-shaped cover 21 and circular cover rim 22, the lateral wall of the cover 21 is round table-like, and the madial wall of the cover 21 is also circle Mesa-shaped, the side and the top of box body 1 of the cover rim 22 are hinged, sharp between the opposite side of the cover rim 22 and the top of box body 1 It is flexibly connected with hasp, the open top of the round iron bucket 3, the bottom of the box body 1 is arranged on inside and the box body of round iron bucket 3 1 bottom is connect with the screw top of round iron bucket 3；The clamping screw includes bolt head 51 and screw rod 52, the screw rod 52 Head end is connected as one with bolt head 51, and the cassette bottom center of the box body 1 is provided with the first through hole being pierced by for 52 tail end of screw rod 11, the tail end of the screw rod 52 is arranged on the outside of box body 1, and the bolt head 51 is arranged on the inside of box body 1, the box body 1 Be internally provided with multiple partition boards 8, the outer cover of the screw rod 52 is equipped with and 8 one-to-one axle sleeve 81 of partition board, that is to say, that Axle sleeve 81 is provided between the screw rod 52 and partition board 8, the axle sleeve 81 is set in the outside of screw rod 52；The side of the partition board 8 Side is fixedly connected with the lateral wall of axle sleeve 81, and the bolt head 51 is arranged on the top of axle sleeve 81, and the outside of the box body 1 is also set It is equipped with and is threadedly coupled with 52 matched nut 9 of screw rod, the nut 9 with screw rod 52；The locking pin 6 include square bar 61, Round bar 62, rectangular baffle 63, the head end of the tail end and round bar 62 of the square bar 61 are connected as one, the round bar 62 and baffle 63 It is mutually perpendicular to, the central axis of the square bar 61 is conllinear with the central axis of round bar 62, tail end and the baffle 63 of the round bar 62 Middle part be fixedly connected, the center of top of the cover 21 is provided with and the matched rectangular holding tank 211 of baffle 63, the appearance Receive slot 211 slot bottom center be provided with for square bar 61 and round bar 62 disengaging the second through-hole of circle 212, the top of the bolt head 51 Portion is provided with and the matched rectangular blind hole 511 of square bar 61.

In the present embodiment, the quantity of the partition board 8 is 3, therefore the space of 1 lower part of box body is divided by 3 partition boards 8 First subregion slot 1a, the second subregion slot 1b, third subregion slot 1c, as shown in Figure 3；Since axle sleeve 81 is set in the outer of screw rod 52 Portion is clearance fit between the axle sleeve 81 and screw rod 52, this enables axle sleeve 81 to be rotated around screw rod 52, therefore, every Plate 8 can rotate under the action of axle sleeve 81 around screw rod 52, that is to say, that the spacing between adjacent partition board 8 can be arbitrary Adjustment, since length of 3 partition boards 8 etc. is all identical, this causes the first subregion slot 1a, the second subregion slot 1b and third subregion The area of bottom surface where the area of bottom surface, the second subregion slot 1b where volumetric ratio between slot 1c is also equal to the first subregion slot 1a With the area ratio of bottom surface where third subregion slot 1c；For ease of calculate the first subregion slot 1a where bottom surface area, second point Ratio between the area of bottom surface where area slot 1b and the area of third subregion slot 1c places bottom surface, further, such as Fig. 4 institutes Show, the cassette bottom of the box body 1 is additionally provided with the scale mark 12 for representing angle, and the scale mark 12 is arranged on the interior of box body 1 Portion；Wherein, the scale mark 12 may be designed as graduation mark, and the graduation mark is concentric coplanar setting；It is indicated in scale With the help of 12, bottom surface where the area of bottom surface, the second subregion slot 1b where can intuitively, promptly obtaining the first subregion slot 1a Area and third subregion slot 1c where bottom surface area between ratio, also just obtained the first subregion slot 1a, the second subregion Volumetric ratio between slot 1b and third subregion slot 1c.

Volumetric ratio between first subregion slot 1a, the second subregion slot 1b and third subregion slot 1c is set as setting value, such as Volumetric ratio between first subregion slot 1a, the second subregion slot 1b and third subregion slot 1c is set as 1:3:2.The magnet 7 Quantity is twice of partition board 8, and in the present embodiment, the quantity of magnet 7 is 6 pieces.As the first subregion slot 1a, the second subregion slot 1b and When volumetric ratio between third subregion slot 1c has been set at setting value, if partition board 8 at this time is rotated further by, then will cause Setting value generates deviation, can influence final demonstration result.For partition board 8 is prevented to be rotated further by, it is three pairs that 6 blocks of magnet 7, which are divided, each It is located at the both sides of partition board 8 respectively to magnet 7, and magnet 7 can adsorb the cassette bottom in box body 1, so as to which often a pair of magnet 7 can incite somebody to action Partition board 8 also just temporarily avoids partition board 8 from rotating again to clamping.Then matching for clamping screw, locking pin 6 and nut 9 is recycled All axle sleeves 81 are fixed in conjunction, and axle sleeve 81 is avoided to be rotated again around screw rod 52, so as to also it is avoided that partition board 8 turns again It is dynamic.It is using the cooperation of clamping screw, locking pin 6 and nut 9 that all 81 securing methods of axle sleeve is as follows：By screw rod 52 Tail end pass through axle sleeve 81, first through hole 11 so that the tail end of screw rod 52 is located at the outside of box body 1, at this point, by box cover and box body 1 It fastens, the square bar 61 in locking pin 6 and round bar 62 is then sequentially passed through into the second through-hole 212, then by the head end of square bar 61 Be inserted into rectangular blind hole 511, then can fine rotation locking pin 6 so that rectangular baffle 63 fall into rectangular holding tank 211； Since partition board 8 is clamped by a pair of magnet 7, even if fine rotation locking pin 6, partition board 8 will not be caused to rotate again.Then will The tail end that nut 9 is sleeved on screw rod 52 enables nut 9 to be threadedly coupled with screw rod 52 so that bolt head 51 pressed against all axis Set 81, so that axle sleeve 81 and partition board 8 can not be rotated further by.Wherein, during rotating nut 9, if without lock pin Axis 6, then nut 9, which rotates, easily drives clamping screw rotation, even if partition board 8 is clamped by a pair of magnet 7 at this time, also it is easier that partition board 8 rotate again, this can cause setting value to generate deviation, so as to influence finally to demonstrate result.And in the present invention, due to locking pin Square bar 61 in 6 coordinates with rectangular blind hole 511 and the cooperation of rectangular baffle 63 and rectangular holding tank 211 so that clamping screw It can not rotate again, this also avoids partition board 8 and rotates again, ensures the first subregion slot 1a, the second subregion slot 1b and third point The setting value of volumetric ratio does not generate deviation between area slot 1c so that is finally that demonstration result can reach desired design.

After the completion of using the cooperation of clamping screw, locking pin 6 and nut 9, all axle sleeves 81 are fixed, by lock pin Axis 6 is extracted out, then again connect the bottom of box body 1 with the screw top of round iron bucket 3.Finally, it opens the lid, takes out all magnet 7.Wherein, further, it is clearance fit between the baffle 63 and holding tank 211.Further, the square bar 61 and blind hole It is clearance fit between 511.As long as this causes round iron box inversion may be such that locking pin 6 is extracted.Further, it is side Just it installs, the groove depth of the holding tank 211 is greater than or equal to the thickness of baffle 63.

Since the volumetric ratio between the first subregion slot 1a, the second subregion slot 1b and third subregion slot 1c is set as 1:3:2.Institute Some demonstration balls 4 are the identical ball of diameter.The mathematical education with probability demonstration teaching aid carry out lecture experiment step and Principle is as follows：All demonstration balls 4 are put into the inside of box body 1, then cover box cover and are fastened, then embrace box body 1 by round iron Box is inverted, and the demonstration ball 4 inside box body 1 is all fallen at cover 21 at this time, and the inner cavity of cover 21 at this time is taper, demonstrates ball 4 It concentrates at the inner cavity of cover 21, is then just putting round iron box on the table, first can be randomly interspersed by demonstrating ball 4 at this time Subregion slot 1a, the second subregion slot 1b, third subregion slot 1c；It opens the lid, observe and counts the first subregion slot 1a, the second subregion slot The quantity of ball 4 is demonstrated in 1b, third subregion slot 1c.Above-mentioned experiment is constantly repeated, is calculated by way of asking for average Average value, the third subregion slot of 4 quantity of ball are demonstrated in one subregion slot 1a in the average value of demonstration 4 quantity of ball, the second subregion slot 1b The ratio demonstrated in 1c between the average value of 4 quantity of ball is x, and x is approximately equal to 1:3:2.Wherein, increasing with experiment number, system Obtained x is counted also just closer to 1:3:2 are even equal to 1:3:2.It also can be by being calculated in single experiment in the first subregion slot 1a Demonstrate the ratio in the quantity of demonstration ball 4, third subregion slot 1c between the quantity of demonstration ball 4 in the quantity of ball 4, the second subregion slot 1b Value and setting value 1:3:Compared between 2 so that student can to " deviation " in mathematics, " absolute deviation ", " relative deviation ", There are one get information about the mathematical concepts such as " standard deviation ", " average deviation ".First can also be reset according to actual conditions Volumetric ratio between subregion slot 1a, the second subregion slot 1b and third subregion slot 1c, repeats above-mentioned experiment, so as to demonstrate a variety of realities It tests as a result, teacher is facilitated to carry out example explanation to probability distribution so that student can intuitively understand, help to improve student couple The understanding of probability and Grasping level.Wherein, it is carried out in lecture experiment, can be locked by holding with probability demonstration teaching aid in mathematical education Shotpin axis 6 is checked and is counted to the quantity that ball 4 is demonstrated in the first subregion slot 1a, the second subregion slot 1b, third subregion slot 1c, Facilitate inventory operation and to check effect good.Round table-like cover 21 enables it rapidly to concentrate all demonstration balls 4 when being inverted, This, which is conducive to subsequent demonstration ball 4, can fall at random in the first subregion slot 1a, the second subregion slot 1b, third subregion slot 1c, Further improve experimental precision.

Further, the bucket bottom of the round iron bucket 3 is provided with the groove for accommodating locking pin 6, and the groove is located at round iron The inside of bucket 3, the inner wall of the groove are installed with spongy layer 31.The mathematical education is with probability demonstration teaching aid in teaching demonstration knot Shu Hou can put locking pin 6 in a groove, then magnet 7 can be all pressed in the top of locking pin 6, since round iron bucket 3 is Irony, magnet 7 can be adsorbed at the bucket bottom of round iron bucket 3 so as to which locking pin 6 be fixed in a groove, as shown in Figure 5；It is and recessed Spongy layer 31 in slot can be filled in the gap between groove inner wall and locking pin 6, and locking pin 6 can be avoided to hit The inner wall of groove.

Further, for convenience of rotating nuts 9, the outside of the nut 9 is installed with handle 91.Further, the spiral shell The top surface of bolt head 51 is spherical surface, this to demonstrate the easy uniform force at the top surface for falling on bolt head 51 of ball 4, will also to drill Show that ball 4 can fall on the first subregion slot 1a or the second subregion slot 1b or third at random the top surface for striking bolt head 51 In subregion slot 1c, experimental error is advantageously reduced.

Further, it is additionally provided with rubber sleeve 53 between the bolt head 51 and axle sleeve 81.When bolt head 51 is in 9 He of nut Bolt head 51 is enabled to press rubber sleeve 53 under the cooperation of screw rod 52,53 stress of rubber sleeve is so that all axle sleeve 81 are pressed fixation, and axle sleeve 81 is fixed more securely, so as to which axle sleeve 81 and partition board 8 be avoided to rotate again.

The foregoing is merely illustrative of the preferred embodiments of the present invention, is not intended to limit the invention, all essences in the present invention All any modification, equivalent and improvement made within refreshing and principle etc., should all be included in the protection scope of the present invention.

Claims (9)

1. a kind of mathematical education probability demonstration teaching aid, it is characterised in that：Including round iron box, round iron bucket（3）, several demonstration balls （4）, clamping screw, locking pin（6）, multiple magnet（7）, the round iron box include box body（1）And box cover, the box cover include Round table-like cover（21）And cover rim（22）, the cover rim（22）Side and box body（1）Top be hinged, the box body（1）'s Bottom is arranged on round iron bucket（3）Inside and box body（1）Bottom and round iron bucket（3）Screw top connection；The locking screw Bolt includes bolt head（51）And screw rod（52）, the box body（1）Cassette bottom center be provided with for screw rod（52）Tail end be pierced by One through-hole（11）, the box body（1）Be internally provided with multiple partition boards（8）, the screw rod（52）Outer cover be equipped with and partition board （8）One-to-one axle sleeve（81）, the partition board（8）Side and axle sleeve（81）Lateral wall be fixedly connected, the bolt head （51）It is arranged on axle sleeve（81）Top, the box body（1）Outside be additionally provided with and screw rod（52）Matched nut（9）, The nut（9）With screw rod（52）It is threadedly coupled；The locking pin（6）Including square bar（61）, round bar（62）, rectangular baffle （63）, the square bar（61）Tail end and round bar（62）Head end be connected as one, the round bar（62）With baffle（63）Mutually Vertically, the round bar（62）Tail end and baffle（63）Middle part be fixedly connected, the cover（21）Center of top be provided with With baffle（63）Matched rectangular holding tank（211）, the holding tank（211）Slot bottom center be provided with for square bar（61）With Round bar（62）The second through-hole of circle of disengaging（212）, the bolt head（51）Top be provided with and square bar（61）It is matched Rectangular blind hole（511）.

2. a kind of mathematical education probability demonstration teaching aid according to claim 1, it is characterised in that：The box body（1）'s Cassette bottom is additionally provided with the scale mark for representing angle（12）, the scale mark（12）It is arranged on box body（1）Inside.

3. a kind of mathematical education probability demonstration teaching aid according to claim 1, it is characterised in that：The round iron bucket（3） Bucket bottom be provided with receiving locking pin（6）Groove, the groove is located at round iron bucket（3）Inside, the inner wall of the groove It is installed with spongy layer（31）.

4. a kind of mathematical education probability demonstration teaching aid according to claim 1, it is characterised in that：The nut（9）'s Outside is installed with handle（91）.

5. a kind of mathematical education probability demonstration teaching aid according to claim 1, it is characterised in that：The bolt head（51） With axle sleeve（81）Between be additionally provided with rubber sleeve（53）.

6. a kind of mathematical education probability demonstration teaching aid according to claim 1, it is characterised in that：The axle sleeve（81）With Screw rod（52）Between be clearance fit.

7. a kind of mathematical education probability demonstration teaching aid according to claim 1, it is characterised in that：The baffle（63）With Holding tank（211）Between be clearance fit.

8. a kind of mathematical education probability demonstration teaching aid according to claim 1, it is characterised in that：The holding tank （211）Groove depth be greater than or equal to baffle（63）Thickness.

9. a kind of mathematical education probability demonstration teaching aid according to claim 1, it is characterised in that：The square bar（61）With Blind hole（511）Between be clearance fit.