Function experience device

Abstract

The invention discloses a function experience device, and relates to the technical field of function teaching and demonstration. The function experience device comprises a display, a central processing unit and a distance sensor. The central processing unit controls the display to display a preset number of functions for an experiencer to select, and the central processing unit controls the display to display a coordinate system taking time as an X axis and the distance between the experiencer and the distance sensor as a Y axis after the experiencer selects a function and displays a standardfunction image of the selected function according to the function selected by the experiencer in the coordinate system. The central processing unit controls the display to generate and display a time-distance real time curve or a time-distance real time straight line which takes time as abscissa and real-time distance of the experiencer detected by the distance sensor as ordinate. The function experience device can enable learners to intuitively and personally experience change speed of values of y when values of the independent variable x change uniformly in the function y is equal to f (x),so that the learners can form an intuitive understanding of the learned function, and the teaching effect is better after use.

Description

[0001] Technical field: [0002] The invention relates to the technical field of function teaching and demonstration, in particular to a function experience device. [0003] Background technique: [0004] Definition of function: Given a number set A, suppose that the element is x. Now apply the corresponding law f to the element x in A, denote it as f(x), and get another number set B. Suppose the element in B is y. Then the equivalent relationship between y and x can be represented by y=f(x). We call this relationship a function relationship, or function for short. The concept of function contains three elements: domain A, value domain C and corresponding law f. The core is the corresponding law f, which is the essential feature of functional relations. [0005] One-dimensional function, power function, logarithmic function, one-dimensional quadratic function, etc. are the teaching content of function teaching. In the teaching of this type of function, teachers generally use the m...

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Problems solved by technology

[0005] Primary functions, power functions, logarithmic functions, quadratic functions in one variable, etc. are the teaching content in function teaching. In the education and teaching of such functions, teachers generally use the methods of preaching, formula reasoning and calculation, and illustrations. Although the traditional teaching method can explain the characteristics of various functions in detail, in teaching practice, this traditional teaching often has disadvantages: first, it cannot make learners feel the relationship between functions more intuitively, and cannot personally experience the functions of functions. When the value of the independent variable x in y=f(x) changes evenly, the change speed of the y value causes the learners to only have a vague feeling about the corresponding function, and lacks an accurate understanding; second, this teaching method is relatively boring and difficult Arouse learners' interest in learning, resulting in poor teaching effect, and learners forget relevant knowledge quickly after learning

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