CN114115630A - Working method of polynomial inequality equation in calculator and calculator - Google Patents
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- CN114115630A CN114115630A CN202111409487.5A CN202111409487A CN114115630A CN 114115630 A CN114115630 A CN 114115630A CN 202111409487 A CN202111409487 A CN 202111409487A CN 114115630 A CN114115630 A CN 114115630A
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Abstract
The invention relates to a working method of a polynomial inequality equation in a calculator.A calculation chip in the calculator solves and calculates the polynomial inequality equation input by a user to obtain a solution; when the solution is not the solution, displaying an image representing the solution on a display screen of the calculator; when all real numbers are solved, displaying an image representing all real numbers on a display screen of the calculator; when the solution is the real root, controlling to directly display the solution formed by the unknown quantity symbol, the relation symbol and the real root data on a display screen according to the content of the solution; when the solutions include at least two, the respective solutions of the polynomial inequality equation are associated and displayed in full using logical symbols on the display screen. The working method can be used for visually reading the solution of the polynomial inequality equation. The invention also relates to a calculator which comprises a body, a calculation chip arranged in the body, a key arranged on the body and a display screen, wherein the calculation chip is respectively in electric signal connection with the key and the display screen, and the calculator adopts the working method.
Description
Technical Field
The invention relates to the technical field of calculators, in particular to a working method of a polynomial inequality equation in a calculator and the calculator applying the method.
Background
The calculator is a common calculation tool, and based on different requirements, there are common calculators for performing common digital calculation and scientific calculators for performing function operation. The scientific calculator can perform relatively complex function calculation, for example, the scientific calculator can solve a polynomial inequality equation, and the solution of the polynomial inequality equation is more complex compared with a common equation calculation structure. However, the display of data on the conventional calculator usually does not conform to the reading habit of people, for example, for the display of inequality result on the calculator, a display mode similar to "x > ═ a, a ═ 1" is usually adopted, when a user reads inequality result information, the user needs to understand the meaning of "> ═ first and assign the value corresponding to a to x, and then obtain the result of" x ≧ 1 ", that is, the process needs the user to perform some simple operations in the brain before obtaining the result. Therefore, for the situation that the result of the polynomial equation is relatively complex, the reading difficulty of directly obtaining the solution of the polynomial equation by the user is increased, the user can not understand the solution, the user can not obtain the calculation result intuitively, even the result is easily disordered, and the experience sense is poor.
Disclosure of Invention
The first technical problem to be solved by the present invention is to provide a working method of polynomial inequality equations in a calculator, which can visually read the solutions of the polynomial inequality equations, in view of the above prior art.
The second technical problem to be solved by the present invention is to provide a working method of polynomial inequality equation in calculator, which is more beneficial for user to understand and reduces the thought of ordering the calculation result, for the above prior art.
The third technical problem to be solved by the present invention is to provide a calculator using the working method of the polynomial inequality equation in the calculator in view of the above prior art, and the calculator is intuitive and convenient to read the calculation result and has better use experience.
The technical scheme adopted by the invention for solving the first technical problem is as follows: a working method of a polynomial inequality equation in a calculator is characterized in that: a user inputs a polynomial equation to be solved on a calculator, and a calculation chip in the calculator is used for solving and calculating the polynomial equation so as to obtain the solution of the polynomial equation;
when the solution of the polynomial inequality equation is not solved, displaying an image representing the non-solution on a display screen of the calculator;
when the solution of the polynomial inequality equation is all real numbers, displaying an image representing all real numbers on a display screen of the calculator;
when the solution of the polynomial inequality equation is a real root, controlling to directly display the solution formed by the unknown quantity symbol, the relation symbol and the real root data on a display screen according to the content of the solution; the relation symbols comprise at least one of ">", "<", "≧", "≦", "≠ and" ≠ ";
when the solutions of the polynomial inequality equations comprise at least two, logic symbols representing corresponding logic relations between the solutions are adopted for association on a display screen of the calculator, and the solutions of the polynomial inequality equations are displayed completely.
The technical scheme adopted by the invention for solving the second technical problem is as follows: when the solutions of the polynomial inequality equations include at least two, the solutions are displayed in ascending order.
Preferably, the image used to characterize no solution is a text image "no solution", and the image used to characterize all real numbers is a text image "all real numbers".
In order to reduce unnecessary calculation, when a user inputs a polynomial inequality equation to be solved on a calculator, firstly inputting the times of the polynomial inequality equation, and then setting inequality relation types of inequalities, wherein the inequality relation types comprise more than or less than, more than or equal to, and less than or equal to;
after the calculator obtains the times and the unequal relation types of the polynomial inequality equations, the polynomial inequality equations of the corresponding times are controlled to be displayed on a display screen, the filling positions of the coefficients of the various equations are reserved in the polynomial inequality equations, a user fills the coefficients of the various equations by operating keys on the calculator, when the coefficient before the highest-order polynomial of unknown quantity is filled to be 0, the calculator is controlled to interrupt the solving calculation, and prompt information is controlled to be displayed on the display screen.
In order to judge the error condition more quickly, the coefficients of the various expressions in the polynomial inequality equation are filled in sequence according to the sequence of the times of the unknown quantity from large to small, when the first filled coefficient is 0, the solution calculation is controlled to be interrupted, and prompt information is controlled to be displayed on a display screen.
The technical scheme adopted by the invention for solving the third technical problem is as follows: a calculator, comprising: the calculator comprises a body, a calculation chip arranged in the body, a key arranged on the body and a display screen, wherein the calculation chip is respectively in electric signal connection with the key and the display screen, and the calculator adopts the working method of the polynomial equation in the calculator.
Compared with the prior art, the invention has the advantages that: according to the working method of the polynomial inequality equation in the calculator, the complex relation symbols are integrated, the real roots in the solution are directly assigned and then displayed, the displayed solution accords with the viewing habit of a user, and the solution of the polynomial inequality equation is displayed more visually.
The calculator applying the working method of the polynomial inequality equation in the calculator is visual and convenient to read the calculation result, and the use experience is better.
Drawings
FIG. 1 is a diagram of a coefficient output frame of a polynomial equation on a display screen of a calculator in an embodiment of the present invention.
FIG. 2 is a diagram of a display of multiple solutions on a display screen of a computer according to an embodiment of the present invention.
Detailed Description
The invention is described in further detail below with reference to the accompanying examples.
The working method of the polynomial equation in the calculator in the embodiment can be applied to various conventional calculators and scientific calculators, the working method of the polynomial equation in the calculator comprises a body, a calculation chip arranged in the body, keys arranged on the body and a display screen, wherein the calculation chip is in electric signal connection with the keys and the display screen respectively, the keys comprise digital keys, functional keys and the like, the calculation chip can work according to information and signals input by the keys, and then the calculation chip controls the content to be displayed on the display screen.
The polynomial inequality equation in the calculator in the present embodiment works as follows.
The user inputs the polynomial equation to be solved on the calculator. Specifically, a user can input a command requiring to input a polynomial inequality equation to the computing chip through a key on the calculator, and then the calculator correspondingly prompts the user to input the times of the polynomial inequality equation and the inequality relation type of the inequality. When a user inputs a polynomial inequality equation to be solved on a calculator, firstly, the times of the polynomial inequality equation are input, and then, the inequality relation types of the inequality are set, wherein the inequality relation types comprise more than or less than, more than or equal to, and less than or equal to.
After the calculator obtains the times and the unequal relation types of the polynomial inequality equations, the calculator controls the display screen to display the polynomial inequality equations of the corresponding times, and reserves the filling positions of the coefficients of the polynomials in the polynomial inequality equations. If the number of times of the polynomial equation input by the user is 3 and the type of the inequality relationship input is less than the relationship, a screen as shown in fig. 1 is displayed on the display screen.
A cursor is displayed on the display screen and is positioned at the input position of one of the coefficients. Then the user fills in the various coefficients by operating the cursor direction keys and the number keys in the keys of the calculator. When the coefficient before the highest polynomial of the unknown quantity is filled in to be 0, the solving calculation is controlled to be interrupted, and the prompt information is controlled to be displayed on the display screen, so that unnecessary calculation can be avoided, and the misleading of a user caused by the display of a wrong calculation result is also avoided. And setting prompt information aiming at the situation on the display screen according to needs, wherein the prompt information displayed on the display screen can be 'coefficient input error', so that a user can conveniently find problems, and the user revises the coefficient again according to the specific situation or directly returns to reset the times and unequal relation types of the polynomial equation.
In order to find out the problem of coefficient errors as early as possible, in this embodiment, the coefficients of the terms in the polynomial inequality equation are sequentially filled in according to the order of the number of times of the unknown quantity from large to small. Specifically, the control of the input order of the pre-polynomial parameters can be realized by controlling the jumping position of the cursor. And when the first filled coefficient is 0, directly controlling to interrupt the solution calculation and controlling to display prompt information on a display screen. Thus, the finding of the coefficient input problem is realized at the fastest speed.
And solving and calculating the polynomial inequality equation by a calculation chip in the calculator so as to obtain the solution of the polynomial inequality equation, wherein the solution number and the condition are different for the polynomial inequality equations with different terms.
For example, the solution of the quadratic inequality equation has the following conditions:
(1) no real root;
“ax2+ bx + c > 0 ": solving into all real numbers;
“ax2+ bx + c < 0 ": no solution is available;
“ax2+ bx + c is greater than or equal to 0 ": solving into all real numbers;
“ax2+ bx + c is less than or equal to 0 ": no solution is available;
(2) the solution includes two different solid roots: i and j are respectively represented as two different solid roots;
“ax2+ bx + c > 0 ": solving x is less than i or x is more than j;
“ax2+ bx + c < 0 ": solving the problem that i is more than x and less than j;
“ax2+ bx + c is greater than or equal to 0 ": solving x is less than or equal to i or x is more than or equal to j;
“ax2+ bx + c is less than or equal to 0 ": solving the solution that i is more than or equal to x is less than or equal to j;
(3) the solution includes one solid root and is a repeated root: i represents the solid root with the weight of 2;
“ax2+ bx + c > 0 ": solving x is not equal to i;
“ax2+ bx + c < 0 ": without solution；
“ax2+ bx + c is greater than or equal to 0 ": solving into all real numbers;
“ax2+ bx + c is less than or equal to 0 ": the solution is x ═ i.
For example, the solution of the cubic inequality equation has the following conditions:
(4) solving the root of the root: i is denoted as the solid root.
“ax3+bx2+ cx + d > 0 ": the solution is x is more than i;
“ax3+bx2+ cx + d < 0 ": solving x is less than i;
“ax3+bx2+ cx + d is greater than or equal to 0 ": solving x is more than or equal to i;
“ax3+bx2+ cx + d is less than or equal to 0 ": solving x is less than or equal to i;
(5) the solution includes three different solid roots: i. j and k are represented as three different real roots.
“ax3+bx2+ cx + d > 0 ": solving the problem that i is more than x and less than j or x is more than k;
“ax3+bx2+ cx + d < 0 ": the solution is x is less than i or j is less than x and less than k;
“ax3+bx2+ cx + d is greater than or equal to 0 ": solving the problem that i is more than x and less than j or x is more than or equal to k;
“ax3+bx2+ cx + d is less than or equal to 0 ": solving x is more than i or j is more than or equal to x and less than or equal to k;
(6) the solution includes two solid roots and one is a repeat root: r represents a multiple of 2 solid roots, i is another solid root, where r > i;
“ax3+bx2+ cx + d > 0 ": solving x is more than i and x is not equal to r;
“ax3+bx2+ cx + d < 0 ": solving x is less than i;
“ax3+bx2+ cx + d is greater than or equal to 0 ": solving x is more than or equal to i;
“ax3+bx2+ cx + d is less than or equal to 0 ": solving x is less than or equal to i or x is r;
(7) the solution includes two solid roots and one is a repeat root: r is a multiple 2 root, i is another root, where r > i;
“ax3+bx2+ cx + d > 0 ": the solution is x is more than i;
“ax3+bx2+ cx + d < 0 ": solving x is less than i;
“ax3+bx2+ cx + d is greater than or equal to 0 ": solving x is more than or equal to i;
“ax3+bx2+ cx + d is less than or equal to 0 ": the solution is x is less than or equal to i.
For example, the solution of the quartic inequality equation has the following conditions:
(8) the solution includes two different solid roots: i and j are represented as two distinct solid roots;
“ax4+bx3+cx2+ dx + e > 0 ": solving x is less than i or x is more than j;
“ax4+bx3+cx2+ dx + e < 0 ": solving the problem that i is more than x and less than j;
“ax4+bx3+cx2+ dx + e.gtoreq.0 ": solving x is less than or equal to i or x is more than or equal to j;
“ax4+bx3+cx2+ dx + e ≦ 0 ": solving the solution that i is more than or equal to x is less than or equal to j;
(9) the solution includes four different solid roots: i. j, k and l are represented as four different solid roots;
“ax4+bx3+cx2+ dx + e > 0 ": the solution is x is less than i or j is less than x and less than k or x is more than l;
“ax4+bx3+cx2+ dx + e < 0 ": the solution is that i is more than x and less than j or k is more than x and less than l;
“ax4+bx3+cx2+ dx + e.gtoreq.0 ": solving x is less than or equal to i or j is less than or equal to x is less than or equal to k or x is more than or equal to l;
“ax4+bx3+cx2+ dx + e ≦ 0 ": solving the solution that i is more than or equal to x and less than or equal to j or k is more than or equal to x and less than or equal to l;
(10) no real root;
“ax4+bx3+cx2+ dx + e > 0 ": solving into all real numbers;
“ax4+bx3+cx2+ dx + e < 0 ": no solution is available;
“ax4+bx3+cx2+ dx + e.gtoreq.0 ": solving into all real numbers;
“ax4+bx3+cx2+ dx + e ≦ 0 ": no solution is available.
In this way, the display modes of the solutions on the display screen are respectively controlled according to the solution of the polynomial inequality equation calculated by the calculation chip.
When the solution of the polynomial inequality equation is no solution, an image representing no solution is displayed on the display screen of the calculator.
When the solutions of the polynomial inequality equations are all real numbers, images representing all real numbers are displayed on a display screen of the calculator.
When the solution of the polynomial inequality equation is a real root, controlling to directly display the solution formed by the unknown quantity symbol, the relation symbol and the real root data on a display screen according to the content of the solution; wherein the relation symbols comprise at least one of ">", "<", "≧", "≦", "≠ and" ≠ "; namely, for the relation of being greater than or equal to, the relation symbol is directly displayed on the display screen, and the symbol which is not in accordance with the reading habit of the user is not displayed any more. For the relation less than or equal to, the relation symbol is directly displayed on the display screen with ≦ and the symbol representation which does not conform to the reading habit of the user is not displayed with ≦ again. If the solution obtained by the calculation of the calculation chip is x less than or equal to 3, the result is controlled to be displayed on the display screen in a mode that x is less than or equal to 3, and the display in a mode that x is less than m and m is 3 is not performed any more, so that the calculation result can be read visually by a user.
In addition, when the solutions of the polynomial inequality equations include at least two, the respective solutions of the polynomial inequality equations are associated and displayed in their entirety with logical symbols representing respective logical relationships between the solutions on a display screen of the calculator. Typical logical relationships include the "and" or "relationship, with the logical relationship of" and "being represented by the logical symbol" and "or" & "on the display screen and the logical relationship of" or "being represented by the logical symbol" or "/" on the display screen. As shown in fig. 2, the content including two solutions is displayed on the display screen of the calculator.
In addition, further to facilitate understanding by the user, when the solutions of the polynomial inequality equation include at least two, the solutions are displayed in ascending order. The solution shown in fig. 2 is a display of the solution according to the rule.
According to the working method of the polynomial inequality equation in the calculator, the complex relation symbols are integrated, the real roots in the solution are directly assigned and then displayed, the displayed solution accords with the viewing habit of a user, and the solution of the polynomial inequality equation is displayed more visually. The calculator applying the working method of the polynomial inequality equation in the calculator is visual and convenient to read the calculation result, and the use experience is better.
Claims (6)
1. A working method of a polynomial inequality equation in a calculator is characterized in that: a user inputs a polynomial equation to be solved on a calculator, and a calculation chip in the calculator is used for solving and calculating the polynomial equation so as to obtain the solution of the polynomial equation;
when the solution of the polynomial inequality equation is not solved, displaying an image representing the non-solution on a display screen of the calculator;
when the solution of the polynomial inequality equation is all real numbers, displaying an image representing all real numbers on a display screen of the calculator;
when the solution of the polynomial inequality equation is a real root, controlling to directly display the solution formed by the unknown quantity symbol, the relation symbol and the real root data on a display screen according to the content of the solution; the relation symbols comprise at least one of ">", "<", "≧", "≦", "≠ and" ≠ ";
when the solutions of the polynomial inequality equations comprise at least two, logic symbols representing corresponding logic relations between the solutions are adopted for association on a display screen of the calculator, and the solutions of the polynomial inequality equations are displayed completely.
2. The method of claim 1 for operating a polynomial inequality equation in a calculator, wherein: when the solutions of the polynomial inequality equations include at least two, the solutions are displayed in ascending order.
3. The method of claim 1 for operating a polynomial inequality equation in a calculator, wherein: the image used to represent the non-solution is the text image "non-solution", and the image used to represent all real numbers is the text image "all real numbers".
4. The method of operating a polynomial equation in a calculator as claimed in any one of claims 1 to 3 wherein: when a user inputs a polynomial inequality equation to be solved on a calculator, firstly inputting the times of the polynomial inequality equation, and then setting inequality relation types of the inequality, wherein the inequality relation types comprise more than or less than, more than or equal to, and less than or equal to;
after the calculator obtains the times and the unequal relation types of the polynomial inequality equations, the polynomial inequality equations of the corresponding times are controlled to be displayed on a display screen, the filling positions of the coefficients of the various equations are reserved in the polynomial inequality equations, a user fills the coefficients of the various equations by operating keys on the calculator, when the coefficient before the highest-order polynomial of unknown quantity is filled to be 0, the calculator is controlled to interrupt the solving calculation, and prompt information is controlled to be displayed on the display screen.
5. The method of claim 4, wherein the polynomial inequality equation operates as: and filling coefficients of each equation in the polynomial inequality equation in sequence according to the sequence of the times of the unknown quantity from large to small, and controlling to interrupt the solution calculation and display prompt information on a display screen when the first filled coefficient is 0.
6. A calculator, comprising: the calculator comprises a body, a calculation chip arranged in the body, a key arranged on the body and a display screen, wherein the calculation chip is respectively in electric signal connection with the key and the display screen, and the calculator adopts the working method of the polynomial equation in the calculator according to any one of claims 1 to 5.
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