Turnover type cubic power function inverse function demonstration and image drawing instrument

Abstract

The invention discloses a turnover type cubic power function inverse function demonstration and image drawing instrument comprising a bracket, a turnover mechanism, a hydraulic cylinder push-and-pulldevice, a variable length measurer, an opposite paintbrush, a liquid controller, a transparent drawing board and a liquid storage tank. The turnover mechanism and the transparent drawing board are respectively arranged in the middle of the bracket; the liquid storage tank is arranged at the top of the bracket; the variable length measurer and the hydraulic cylinder push-and-pull device are arranged on the turnover mechanism; the opposite paintbrush is arranged on the variable length measurer; the variable length measurer, the hydraulic cylinder push-and-pull device and the liquid storage tankare connected together through the liquid controller to form a liquid circulation device. The instrument is complete in function, relation demonstration and image drawing of a cubic power function inverse function in a controllable numerical value range can be completed, and the property of the function and the actual meaning of parameters are visually expressed. The structure is compact, cost islow, carrying is convenient, precision is high, and time and labor are saved; applicability is high, and demonstration and drawing can be conducted on various occasions.

Description

Technical field: [0001] The invention belongs to the field of teaching, and in particular relates to a display of an inverse function of a reverse three-power function and an image plotter. Background technique: [0002] Analytical formula is that the function of y=x1 / 3 is the inverse function of the cubic power function y=x3, is the most basic function that the mankind discovers the earliest and also uses for a long time, is the most main content of secondary mathematics and advanced mathematics research, in the said power function It is both representative and specific. Representative means that it represents all the characteristics of positive fractional exponents. Compared with inverse functions of other power functions, such as inverse proportion and inverse parabola, it is monotonous in function and concave-convex in curves. It is more complicated and involves a lot of content. Teachers do not have suitable physical teaching aids and geometric scenes to guide them, whi...

AI Technical Summary

Problems solved by technology

[0002] Analytical formula is that the function of y=x1 / 3 is the inverse function of the cubic power function y=x3, is the most basic function that the mankind discovers the earliest and also uses for a long time, is the most main content of secondary mathematics and advanced mathematics research, in the said power function It is both representative and specific. Representative means that it represents all the characteristics of positive fractional exponents. Compared with inverse functions of other power functions, such as inverse proportion and inverse parabola, it is monotonous in function and concave-convex in curves. It is more complicated and involves a lot of content. Teachers do not have suitable physical teaching aids and geometric scenes to guide them, which can easily cause the natural separation of the cause of function formation and the function image, which makes many students feel very difficult when learning, and aggravates the duality of teaching and learning. difficulty

There are only a few demonstration devices for demonstrating low-order functions on the market now, and there are no proprietary teaching aids for the inverse function of the cubic power function

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