CN110009942A - A kind of function experience apparatus - Google Patents
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- G—PHYSICS
- G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
- G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
- G09B23/00—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes
- G09B23/02—Models for scientific, medical, or mathematical purposes, e.g. full-sized devices for demonstration purposes for mathematics
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- G—PHYSICS
- G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
- G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
- G09B5/00—Electrically-operated educational appliances
- G09B5/02—Electrically-operated educational appliances with visual presentation of the material to be studied, e.g. using film strip
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Abstract
A kind of function experience apparatus is related to Function Teaching, performance technology field, including display, central processing unit and range sensor；Central processing unit controls the function for experiencer's selection that display shows preset quantity；Central processing unit controls display after experiencer selects a function and shows using the time as X-axis, selectes the canonical function image that function shows selected function using distance between experiencer and range sensor as the coordinate system of Y-axis and in a coordinate system according to experiencer；Central processing unit control display generate the real-time range of the experiencer that display was detected as abscissa, using range sensor using the time as ordinate when it is m- apart from real-time curve or when the m- real-time straight line of distance, this function experience apparatus can make that learner is intuitive, personally realizes function y=f(x) in independent variable x value even variation when y value variation speed, learner is set to form visual understanding to institute's mathematic(al) function, it is preferable using rear teaching efficiency.
Description
Technical field:
The present invention relates to Function Teaching, performance technology field more particularly to a kind of function experience apparatus.
Background technique:
The definition of function: a manifold A is given, it is assumed that element therein is x.Correspondence rule now is applied to the element x in A
F is denoted as f (x), obtains another manifold B.Assuming that the element in B is y.Then the relation of equal quantity between y and x can use y=f (x) table
Show.We are just functional relation, abbreviation function this relational expression.Function concept is containing there are three elements: domain A, codomain C
With correspondence rule f.Wherein core is correspondence rule f, it is the substantive characteristics of functional relation.
Linear function, power function, logarithmic function, One- place 2-th Order function etc. are the contents of courses in Function Teaching, this kind of
In the education and instruction of function, teacher is carried out generally by the way of preaching, formula reasoning and calculation and diagram, this traditional religion
Although mode can explain the characteristics of various functions in detail, in teaching practice, this traditional teaching is often deposited
In drawback: first is that learner can not be made more to be perceive intuitively that functional relation, can not personal understanding into function y=f (x) from
The variation speed of y value, causes learner to can be only formed hazy sensations to corresponding function when variable x value even variation, lacks
Accurately understanding；Second is that this kind of teaching method is more dry as dust, it is difficult to which the learning interest for lifting learner causes teaching efficiency
It is poor, it is also very fast to the forgetting of relevant knowledge after learner's study.
Summary of the invention:
In order to solve the above-mentioned technical problems, the present invention provides a kind of function experience apparatus, it can make that learner is intuitive, cuts
The variation speed of y value when realizing to body independent variable x value even variation in function y=f (x), makes learner to institute's mathematic(al) function shape
It is preferable using rear teaching efficiency at visual understanding.
The present invention is realized by following technical proposals:
A kind of function experience apparatus, characterized in that including display, central processing unit and range sensor；
The central processing unit control display shows the function for experiencer's selection of preset quantity；
The central processing unit controls display after experiencer selects a function and shows using the time as X-axis, with experience
Distance is the coordinate system of Y-axis and selectes function according to experiencer in a coordinate system and show and be with the time between person and range sensor
The canonical function image of the selected function of independent variable；
The central processing unit control display generates display using the time as abscissa, the body detected with range sensor
The real-time range for the person of testing be ordinate when it is m- apart from real-time curve or when the m- real-time straight line of distance.
In another aspect of the present invention, for the function of experiencer's selection in the form of function name or functional relation
It shows over the display.
In another aspect of the present invention, the function for experiencer's selection includes linear function, power function, logarithm letter
Number, One- place 2-th Order function.
In another aspect of the present invention, the display color of the canonical function image of the selected function with when it is m- away from
From real-time curve or when it is m- with a distance from real-time straight line display color it is different.
It in another aspect of the present invention, further include delayed startup switch, the central processing unit receives described prolong
When the trigger signal that starts switch after, m- distance when control display starts to generate and show described after postponing the time of setting
Real-time curve or it is described when the m- real-time straight line of distance.
In another aspect of the present invention, the central processing unit receives the trigger signal of the delayed startup switch
The countdown of the time of control display display setting afterwards.
In another aspect of the present invention, the time set is 3-10s.
It in another aspect of the present invention, further include straightaway, the straightaway face display and apart from biography
Sensor, the straightaway are equipped with using range sensor position as the distance scale of starting point.
The beneficial effects of the present invention are:
This function experience apparatus can be by allowing experiencer to move before range sensor, and m- distance is real-time when generation
Curve or when the m- real-time straight line of distance, make experiencer by itself movement formed when it is m- apart from real-time curve or when m- distance
The canonical function image comparison of real-time straight line and selected function, so make experiencer according to the canonical function image of selected function come
Control itself movement speed so that itself movement formed when it is m- apart from real-time curve or when the real-time straight line fitting choosing of m- distance
Determine the canonical function image of function.Experiencer can it is this comparison be bonded in intuitively, personally realize selected function y=
In f (x) when independent variable x value even variation y value variation speed, make learner to institute's mathematic(al) function formed visual understanding, interest
It is relatively strong, it is preferable using rear teaching efficiency.
One aspect of the present invention bring beneficial effect is, select the canonical function image of function display color and when
It is m- apart from real-time curve or when the m- real-time straight line of distance display color difference experiencer is conveniently and efficiently distinguished
The canonical function image of selected function and itself movement formed when it is m- apart from real-time curve or when the m- real-time straight line of distance.
One aspect of the present invention bring beneficial effect is that delayed startup switch makes experiencer begin through mobile life
At when it is m- apart from real-time curve or when the m- real-time straight line of distance before possess enough times, experience effect more preferably, is implemented
Get up more light.
One aspect of the present invention bring beneficial effect is that the display of countdown keeps experiencer accurate before starting movement
Ground knows the time started, it is ensured that experiencer starts to move in time.
One aspect of the present invention bring beneficial effect is that the straightaway with distance scale is set as experiencer
The distance reference of different location is provided, the speed that experiencer controls itself movement in moving process is facilitated, makes experiencer
Can more easily make that itself movement formed when it is m- apart from real-time curve or when the real-time straight line of m- distance be bonded selected letter
Several canonical function images.
Detailed description of the invention:
Fig. 1 is integral outer structure schematic side view of the present invention.
In attached drawing: 1, display, 2, Installation cabinet, 3, host, 4, range sensor, 5, straightaway.
Specific embodiment:
Embodiments of the present invention are described further with reference to the accompanying drawings and embodiments:
In the description of this invention, it is to be understood that indicating position or positional relationship are described as based on attached drawing institute
The orientation or positional relationship shown, is merely for convenience of description of the present invention and simplification of the description, rather than the dress of indication or suggestion meaning
It sets or element must have a particular orientation, be constructed and operated in a specific orientation, therefore should not be understood as protecting the present invention
The limitation of range.
In the description of the present invention, it should be noted that unless otherwise clearly defined and limited, term " setting ", " phase
Even ", " connection " shall be understood in a broad sense, for example, it may be being fixedly connected, may be a detachable connection, or be integrally connected；It can
To be mechanical connection, it is also possible to be electrically connected；It can be directly connected, can also can be indirectly connected through an intermediary
Connection inside two elements.For the ordinary skill in the art, above-mentioned term can be understood at this with concrete condition
Concrete meaning in invention.
Embodiment 1
A kind of function experience apparatus, including Installation cabinet 2, computer and the range sensor 4 connecting with computer, computer is shown
Show that device 1 is placed on 2 upper end of Installation cabinet, the host 3 including central processing unit of computer is mounted in Installation cabinet 2；
The central processing unit control display 1 shows the function for experiencer's selection of preset quantity, selects for experiencer
The function selected includes linear function, One- place 2-th Order function, power function, logarithmic function；In the present embodiment, linear function uses y=-
X+4, One- place 2-th Order function usePower function usesLogarithmic function uses y=
4log (x) is shown on display 1 in the form of function name or functional relation for the function of experiencer's selection, is experienced
Person selects one of function in such a way that mouse is clicked.
The central processing unit controls display 1 after experiencer selects a function and shows using the time as X-axis, with experience
Distance is the coordinate system of Y-axis and selectes function according to experiencer in a coordinate system and show with the time between person and range sensor 4
For the canonical function image of the selected function of independent variable；The coordinate system Y-axis codomain is 4, and Y-axis unit is rice；X-axis unit is
Second.The content of first quartile is only shown in coordinate system, canonical function image is displayed next to functional equation.
The central processing unit control display 1 generates what display was detected using the time as abscissa, with range sensor 4
The real-time range of experiencer be ordinate when it is m- apart from real-time curve or when the m- real-time straight line of distance (selected function is primary
M- distance real-time straight line when being when function).
The display color of the canonical function image of the selected function with when it is m- apart from real-time curve or when m- distance it is real
When straight line display color it is different.In the present embodiment, select function canonical function image display color be blue, when it is m-
Apart from real-time curve or when the m- real-time straight line of distance display color be red.It further include delayed startup switch, delayed startup is opened
Pass can be the switch button connecting with host computer 3, be also possible to the button icon being shown on display 1, the present embodiment
Middle delayed startup switch is the button icon being shown on display 1, passes through the clicking trigger of mouse.The central processing unit connects
After the trigger signal for receiving the delayed startup switch, control display 1 starts to generate and show institute after postponing the time of setting
When stating it is m- apart from real-time curve or it is described when the m- real-time straight line of distance.The central processing unit receives the delayed startup and opens
The countdown of the time of the display setting of display 1 is controlled after the trigger signal of pass.The time set as 3-10s, in the present embodiment
For 5s.It further include straightaway 5, the 5 face display 1 of straightaway and range sensor 4 are set on the straightaway 5
Have using 4 position of range sensor as the distance scale of starting point, as unit of rice, distance passes distance scale in the present embodiment
4 position of sensor is 0m, is 4m away from the farthest position of range sensor 4.
In use, clicking delayed startup switch, experience by other people or experiencer for experiencing One- place 2-th Order function
Person (is ready with range sensor 4 at a distance of 4m), the countdown that observation display 1 is shown is being fallen at 4m on straightaway 5
Start at the end of timing it is mobile to range sensor 4, observed in moving process itself movement formed on display 1 when it is m-
Apart from real-time straight line, the speed and direction to draw oneself up is m- when making to be shown on real-time curve and display 1Canonical function image match.Experiencer can it is intuitive in this moving process, cut
Realize to body One- place 2-th Order function The variation of y value is fast when middle independent variable x value even variation
Slowly, variation tendency makes learner form visual understanding to institute's mathematic(al) function, and interest is stronger, preferable using rear teaching efficiency.
For experiencing linear function, delayed startup switch is clicked by other people or experiencer, experiencer runs in straight line
It (is ready with range sensor 4 at a distance of 4m), the countdown that observation display 1 is shown, at the end of countdown at 4m on road 5
It is mobile to range sensor 4, itself movement is observed in moving process in the when m- real-time straight line of distance formed on display 1, control
The canonical function image of the m- real-time straight line of distance of the speed of oneself being made when making and the y=-x+4 shown on display 1 match.
Experiencer can it is intuitive in this moving process, personally realize independent variable x value even variation in linear function y=-x+4
When the variation speed of y value, variation tendency, so that learner is formed visual understanding to institute's mathematic(al) function, interest is stronger, imparts knowledge to students after use
Effect is preferable.
In short, the foregoing is merely presently preferred embodiments of the present invention, it is all according to equalization made by scope of the present invention patent
Variation and modification, shall all be covered by the patent of the invention.
Claims (8)
1. a kind of function experience apparatus, characterized in that including display, central processing unit and range sensor；
The central processing unit control display shows the function for experiencer's selection of preset quantity；
The central processing unit controlled after experiencer selects a function display show using the time as X-axis, with experiencer with
Distance is the coordinate system of Y-axis and selectes function according to experiencer in a coordinate system and show that with the time be from becoming between range sensor
The canonical function image of the selected function of amount；
The central processing unit control display generates display using the time as abscissa, the experiencer detected with range sensor
Real-time range be ordinate when it is m- apart from real-time curve or when the m- real-time straight line of distance.
2. a kind of function experience apparatus according to claim 1, which is characterized in that for experiencer selection function with function
Title or the form of functional relation are shown over the display.
3. a kind of function experience apparatus according to claim 1 or 2, which is characterized in that for the function packet of experiencer's selection
Include linear function, One- place 2-th Order function, power function, logarithmic function.
4. a kind of function experience apparatus according to any one of claims 1 to 3, which is characterized in that the selected function
The display color of canonical function image from when it is m- apart from real-time curve or when the display color of the m- real-time straight line of distance it is different.
5. a kind of function experience apparatus according to claim 1, which is characterized in that it further include delayed startup switch, it is described
After central processing unit receives the trigger signal of the delayed startup switch, control display starts to give birth to after postponing the time of setting
At and while showing described it is m- apart from real-time curve or it is described when the m- real-time straight line of distance.
6. a kind of function experience apparatus according to claim 5, which is characterized in that the central processing unit receives described
The countdown of the time of control display display setting after the trigger signal of delayed startup switch.
7. a kind of function experience apparatus according to claim 5, which is characterized in that the time set is 3-10s.
8. a kind of function experience apparatus according to claim 1, which is characterized in that it further include straightaway, the straight line
Runway face display and range sensor, the straightaway be equipped with using range sensor position as starting point away from
From scale.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
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| CN201910292420.4A CN110009942B (en) | 2019-04-11 | 2019-04-11 | Function experience device |
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|---|---|---|---|
| CN201910292420.4A CN110009942B (en) | 2019-04-11 | 2019-04-11 | Function experience device |
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| CN110009942B CN110009942B (en) | 2021-04-13 |
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