CN115203441B - Method, system, storage medium and equipment for analyzing high school mathematical formula - Google Patents
Method, system, storage medium and equipment for analyzing high school mathematical formula Download PDFInfo
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Abstract
The invention provides a method, a system, a storage medium and equipment for analyzing a high school mathematical formula, wherein the method comprises the following steps: the method comprises the steps of establishing a primary formula knowledge graph of each chapter according to mathematical element entities, relationships among the entities and operational reasoning properties of each mathematical formula in the chapter, conducting deep understanding on the mathematical formula in the chapter based on the primary formula knowledge graph of the chapter to obtain a deep understanding result of the mathematical formula in the chapter, and adjusting the primary formula knowledge graph of the chapter according to the deep understanding result of the mathematical formula in the chapter to obtain a final formula knowledge graph of the chapter. The method deeply understands the mathematical formula to convert the mathematical formula into the knowledge map in the natural language form, and then applies the mathematical formula to knowledge point labeling and automatic question recommendation application, so that the recognition effect of the application on the formula can be effectively improved.
Description
Technical Field
The invention relates to the field of computers, in particular to a method, a system, a storage medium and equipment for analyzing a high school mathematical formula.
Background
The high school mathematical formula is a medium for understanding the most basic principle of the high school mathematical discipline and plays a very important role in the whole high school mathematical discipline. At present, some intelligent applications related to high school mathematics subjects, such as automatic labeling of knowledge point labels, automatic recommendation of mathematic subjects and the like, directly perform nlp processing on formula texts and then perform subsequent intelligent recognition, but cannot perform deep understanding on mathematical formulas to convert the mathematical formulas into natural languages, and then perform nlp processing and subsequent intelligent recognition, so that the recognition effect is not ideal, and therefore, an analytic method of high school mathematical formulas is urgently needed to solve the problem.
Disclosure of Invention
Based on this, the present invention is to provide a method, a system, a storage medium and a device for analyzing high school mathematical formulas, so as to solve the above mentioned problems.
According to the analytic method of the high school mathematical formula provided by the invention, the method comprises the following steps:
formulating a primary formula knowledge graph of each section according to mathematical element entities, relationships among the entities and operational reasoning properties of each mathematical formula in the section;
and deeply understanding the mathematical formula in the chapters based on the primary formula knowledge graph of the chapters to obtain a deep understanding result of the mathematical formula in the chapters, and adjusting the primary formula knowledge graph of the chapters according to the deep understanding result of the mathematical formula in the chapters to obtain a final formula knowledge graph of the chapters.
In summary, the invention first makes a primary formula knowledge graph of each chapter according to mathematical element entities, relationships among the entities and operational reasoning properties of each mathematical formula in the chapter, then performs deep understanding on the mathematical formula in the chapter based on the primary formula knowledge graph of the chapter to obtain a deep understanding result of the mathematical formula in the chapter, and adjusts the primary formula knowledge graph of the chapter according to the deep understanding result of the mathematical formula in the chapter to obtain a final formula knowledge graph of the chapter. Compared with the existing mode that the intelligent application of the high school mathematics subject directly carries out nlp processing on the formula text and then carries out intelligent recognition, the method deeply understands the mathematical formula to convert the mathematical formula into the knowledge map in the natural language form and then applies the knowledge map to knowledge point marking and automatic subject recommendation application, so that the recognition effect of the application on the formula can be effectively improved.
Further, the step of deeply understanding the mathematical formula in the chapters based on the chapter-based primary formula knowledge graph to obtain a deep understanding result of the mathematical formula in the chapters, and adjusting the chapter-based primary formula knowledge graph according to the deep understanding result of the mathematical formula in the chapters to obtain a final-level formula knowledge graph of the chapters further includes:
and optimizing and adjusting the final-level formula knowledge graph of the chapters and the deep understanding result of each formula in the chapters based on the application scene requirements of the mathematical formula in the chapters to obtain the final deep understanding result of each formula in the chapters and the final formula knowledge graph of the chapters.
Further, the step of performing deep understanding on the mathematical formula in the chapter based on the chapter based primary formula knowledge graph to obtain a deep understanding result of the mathematical formula in the chapter specifically includes:
judging whether the mathematical formula in the chapter is a complex mathematical entity formula or a simple mathematical entity formula;
if the mathematical formula in the chapters is a complex mathematical entity formula, performing component analysis on the mathematical formula based on a primary formula knowledge graph of the chapters to obtain a component analysis result of the mathematical formula, wherein the complex mathematical entity formula comprises a hook function, a fractional function, a composite function and a complex function, and the component analysis result of the mathematical formula comprises hierarchical information and split structure information of the mathematical formula;
extracting key information of each split structure of the mathematical formula and judging the structure type of each split structure of the mathematical formula according to the key information of each split structure of the mathematical formula, wherein the key information comprises simple mathematical entity information, operation symbol information, numerator and denominator information and internal element information;
and comprehensively judging the integral structure type of the mathematical formula according to the hierarchical information of the mathematical formula and the structure type of each split structure, and adjusting the primary formula knowledge graph of the target chapter to obtain the adjusted formula knowledge graph of the target chapter.
Further, the step of performing deep understanding on the mathematical formula in the section based on the primary formula knowledge graph of the section to obtain a deep understanding result of the mathematical formula in the section specifically includes:
judging whether the mathematical formula in the chapter is a complex mathematical entity formula or a simple mathematical entity formula;
if the mathematical formula in the chapters is a simple mathematical entity formula, extracting key information of the mathematical formula, judging the structure type of the mathematical formula according to the key information of the mathematical formula, and adjusting the primary formula knowledge graph of the target chapters to obtain the adjusted formula knowledge graph of the target chapters, wherein the key information comprises the simple mathematical entity information, operation symbol information, numerator and denominator information and internal element information.
Further, the step of extracting the key information of the mathematical formula and judging the structure type of the mathematical formula according to the key information of the mathematical formula specifically includes:
extracting operation symbol information of the mathematical formula, and analyzing the equal sign and unequal sign conditions in the mathematical formula according to the operation symbol information of the mathematical formula;
if the mathematical formula only contains equal signs and the number of the equal signs is 1, judging whether the structures on the two sides of the equal signs of the mathematical formula are structures needing to be analyzed independently or structures needing to be analyzed comprehensively based on the primary formula knowledge graph of the target section;
if the structures on the two sides of the equal sign of the mathematical formula are structures which need to be analyzed independently, performing depth understanding on the structures on the two sides of the equal sign of the mathematical formula respectively and obtaining a depth understanding result;
and if the structures on the two sides of the equal sign of the mathematical formula are structures needing comprehensive analysis, combining the structures on the two sides of the equal sign of the mathematical formula, and performing deep understanding to obtain a deep understanding result.
Further, the step of extracting the key information of the mathematical formula and judging the structure type of the mathematical formula according to the key information of the mathematical formula specifically includes:
extracting operation symbol information of the mathematical formula, and analyzing the conditions of equal signs and unequal signs in the mathematical formula according to the operation symbol information of the mathematical formula;
if the mathematical formula only contains equal signs and the number of the equal signs is more than 1, splitting the mathematical formula into a plurality of single equations or single structures based on the primary formula knowledge graph of the target section, and performing deep understanding on the single equations or the single structures in sequence to obtain a deep understanding result.
Further, the step of extracting the key information of the mathematical formula and determining the structure type of the mathematical formula according to the key information of the mathematical formula specifically includes:
extracting operation symbol information of the mathematical formula, and analyzing the equal sign and unequal sign conditions in the mathematical formula according to the operation symbol information of the mathematical formula;
if the mathematical formula only contains the unequal numbers and the number of the unequal numbers is more than 1, splitting the mathematical formula into a plurality of unequal formulas or sub-structures based on the primary formula knowledge graph of the target section, and performing deep understanding on the single inequality or the single structure in sequence to obtain a deep understanding result.
The invention also provides an analytic system of the high school mathematical formula, which comprises:
a formulating module: the primary formula knowledge graph of each section is formulated according to mathematical element entities, relationships among the entities and operational reasoning properties of each mathematical formula in the section;
a depth understanding module: the method is used for deeply understanding the mathematical formula in the chapters based on the primary formula knowledge graph of the chapters to obtain a deep understanding result of the mathematical formula in the chapters, and adjusting the primary formula knowledge graph of the chapters according to the deep understanding result of the mathematical formula in the chapters to obtain a final formula knowledge graph of the chapters.
The present invention also proposes a computer-readable storage medium, on which a computer program is stored, which, when being executed by a processor, implements the method for resolving a mathematical formula of high school as described above.
The invention also provides a device for analyzing the high school mathematical formula, which comprises a memory, a processor and a computer program which is stored on the memory and can run on the processor, wherein the processor realizes the method for analyzing the high school mathematical formula when executing the program.
Additional aspects and advantages of the invention will be set forth in part in the description which follows and, in part, will be obvious from the description, or may be learned by practice of the invention.
Drawings
The above and/or additional aspects and advantages of the present invention will become apparent and readily appreciated from the following description of the embodiments, taken in conjunction with the accompanying drawings of which:
FIG. 1 is a flow chart of a method for analyzing mathematical formulas of high school and middle school according to a first embodiment of the present invention;
FIG. 2 is a system diagram of a system for analyzing mathematical formulas in senior high school, middle school and the like according to a second embodiment of the present invention;
fig. 3 is a schematic structural diagram of a device for analyzing high school mathematical formulas according to a third embodiment of the present invention.
Detailed Description
To facilitate an understanding of the invention, the invention will now be described more fully with reference to the accompanying drawings. Several embodiments of the invention are presented in the drawings. This invention may, however, be embodied in many different forms and should not be construed as limited to the embodiments set forth herein. Rather, these embodiments are provided so that this disclosure will be thorough and complete.
It will be understood that when an element is referred to as being "secured to" another element, it can be directly on the other element or intervening elements may also be present. When an element is referred to as being "connected" to another element, it can be directly connected to the other element or intervening elements may also be present. The terms "vertical," "horizontal," "left," "right," and the like as used herein are for illustrative purposes only.
Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs. The terminology used in the description of the invention herein is for the purpose of describing particular embodiments only and is not intended to be limiting of the invention. As used herein, the term "and/or" includes any and all combinations of one or more of the associated listed items.
Example 1
Referring to fig. 1, the present invention provides a method for analyzing a mathematical formula of high school, which includes steps S101 to S102:
and S101, formulating a primary formula knowledge graph of each section according to mathematical element entities, relationships among the entities and operational reasoning properties of each mathematical formula in the section.
It should be noted that, for different mathematics chapters, a primary formula knowledge graph suitable for the profession is prepared from three aspects of mathematical element entities, relationships among the entities and operational reasoning properties of mathematical formulas. Taking a function section as an example, the mathematical element entities include, but are not limited to, a first order function, a second order function, a logarithmic function, an exponential function, and the like, the relationships among the entities include, but are not limited to, an equality relationship, an inequality relationship, a logarithmic relationship, an exponential relationship, and the like, and the operational reasoning properties include, but are not limited to, function symmetry, function parity, function monotonicity, and function periodicity, and the like.
S102, deep understanding is conducted on the mathematical formula in the chapters on the basis of the primary formula knowledge graph of the chapters to obtain deep understanding results of the mathematical formula in the chapters, and the primary formula knowledge graph of the chapters is adjusted according to the deep understanding results of the mathematical formula in the chapters to obtain a final formula knowledge graph of the chapters.
In this embodiment, the deep understanding of the mathematical formula in the chapters can be performed by combining the maple formula recognition system with the expert system to obtain the deep understanding result of the mathematical formula in the chapters, the key information of the mathematical formula or the key information of the splitting structure of the mathematical formula is extracted and judged by the maple formula recognition system, the mathematical formula is subjected to component analysis by the expert system to obtain the component analysis result of the mathematical formula, the overall structure type of the mathematical formula is judged, and the primary formula knowledge map of the target chapter is adjusted to obtain the formula knowledge map after the target chapter is adjusted.
If the maple formula recognition system is combined with the expert system to deeply understand the mathematical formula in the chapter, before the mathematical formula is deeply understood, whether the mathematical formula meets the maple formula format or not needs to be judged, if the mathematical formula meets the maple format, the maple formula recognition system is combined with the expert system to deeply understand the mathematical formula in the chapter, if the maple format is not met, the mathematical formula is converted into the maple standard format, and then the maple formula recognition system is combined with the expert system to deeply understand the mathematical formula in the chapter.
Specifically, the step of performing deep understanding on the mathematical formula in the chapter based on the chapter based primary formula knowledge graph to obtain a deep understanding result of the mathematical formula in the chapter specifically includes:
judging whether the mathematical formula in the chapter is a complex mathematical entity formula or a simple mathematical entity formula;
if the mathematical formula in the chapters is a complex mathematical entity formula, performing component analysis on the mathematical formula based on a primary formula knowledge graph of the chapters to obtain a component analysis result of the mathematical formula, wherein the complex mathematical entity formula comprises but is not limited to a hook function, a fractional function, a composite function and a complex function, and the component analysis result of the mathematical formula comprises the hierarchical information and the split structure information of the mathematical formula;
extracting key information of each split structure of the mathematical formula and judging the structure type of each split structure of the mathematical formula according to the key information of each split structure of the mathematical formula, wherein the key information comprises but is not limited to simple mathematical entity information, operation symbol information, numerator and denominator information and internal element information;
and comprehensively judging the integral structure type of the mathematical formula according to the hierarchy information of the mathematical formula and the structure type of each split structure, and adjusting the primary formula knowledge graph of the target chapter to obtain the formula knowledge graph after the target chapter is adjusted.
It should be noted that, if the mathematical formula is a complex mathematical entity formula (such as a hook function, a fractional function, a complex function, etc.), the formula recognition system cannot directly extract the key information of the mathematical formula, and therefore, it is necessary to perform component analysis (layering and splitting) on the mathematical formula to obtain the hierarchical information and each split structure information of the mathematical formula, and then perform key information extraction on each split structure of the mathematical formula, so as to simplify the mathematical formula, and then obtain the key information, which can ensure the accuracy of extracting the key information, thereby ensuring the depth and accuracy of understanding the mathematical formula, and using the mathematical formula: for the example of deep understanding { x | y = abs (2 ^ (x ^2+ a) + 1) }, first the mathematical formula needs to be: { x | y = abs (2 ^2+ a) + 1) } performing component analysis, wherein the step of component analysis is as follows: firstly, judging that the structure is a description method set based on a { x | xxxxxxx } form, then judging that the structure is a set formed by function definition domains based on x and y = abs (2 ^2 (x ^2+ a) + 1), then splitting the structure into abs (2 ^2 (x ^2+ a) + 1), key information of each split structure abs (2 ^2 (x ^2+ a) + 1), 2^ 2+ a) and x ^2+ a of a mathematical formula after component analysis, respectively extracting key information of each split structure abs (2 ^2 (x ^2+ a) + 1), 2^ 2 (x ^2+ a) and x ^2+ a) of the mathematical formula, and respectively judging that each split structure is an absolute value composite function structure, an exponential composite function structure and a unitary secondary function containing small parameters, and finally judging the mathematical formula: { x | y = abs (2 ^2+ a) + 1) } is a function definition domain set composed of an absolute value composite _ exponential composite _ unitary secondary _ miniatured composite function structure.
The step of performing deep understanding on the mathematical formula in the chapters by using the chapter-based primary formula knowledge graph to obtain a deep understanding result of the mathematical formula in the chapters specifically further includes:
judging whether the mathematical formula in the chapter is a complex mathematical entity formula or a simple mathematical entity formula;
if the mathematical formula in the chapters is a simple mathematical entity formula, extracting key information of the mathematical formula, judging the structure type of the mathematical formula according to the key information of the mathematical formula, and adjusting the primary formula knowledge graph of the target chapters to obtain the adjusted formula knowledge graph of the target chapters, wherein the key information comprises but is not limited to the simple mathematical entity information, operation sign information, numerator denominator information and internal element information.
It should be noted that the key information extracted from the mathematical formula or the split structure of the mathematical formula mainly includes simple mathematical entity information, operation symbol information, numerator denominator information and internal element information, the simple mathematical entity information in the formula includes, but is not limited to, a linear function, a quadratic function, an exponential function, a logarithmic function, and the like, and the type of the function entity to which the related formula belongs can be extracted and determined by adopting the type ("expr", "type expr (var)"), for example, the type ("y = x +1", "linear (x)") can determine that the formula y = x +1 is a linear function; the operation sign information in the formula includes, but is not limited to, an equal sign, a plus sign, a multiple sign, a single element, a function and the like, and the operation sign information of the related formula can be extracted and judged in a whattype ("expr") mode, for example, whattype ("x +1= 0") can judge that the sign information of the x +1=0 formula is the equal sign; the numerator and denominator information in the formula can be extracted and judged by using the numerator ("expr") and demon ("expr"), respectively, for example, the numerator and denominator of (x + 1)/(x-1) "can be obtained by using the numerator (" expr ") and the demon (" x + 1)/(x-1) ") respectively as x + 1)/(x-1) and x + 1; the internal element related information in the formula includes, but is not limited to, base, exponent, coefficient, number, variable, parameter, etc., and the base and exponent information of the formula can be obtained by using op ("expr"), coeff ("expr 1", "expr 2") obtains the coefficient of expr2 in the expr1 formula, degree ("expr", "vp") obtains the number information related to vp in expr, and indets ("expr", "name") obtains the information of the parameter and variable in the formula.
The step of extracting the key information of the mathematical formula and judging the structure type of the mathematical formula according to the key information of the mathematical formula specifically comprises the following steps:
extracting operation symbol information of the mathematical formula, and analyzing the conditions of equal signs and unequal signs in the mathematical formula according to the operation symbol information of the mathematical formula;
if the mathematical formula only contains equal signs and the number of the equal signs is 1, or only contains unequal signs and the number of the unequal signs is 1, judging whether the structures on the two sides of the equal signs or the unequal signs of the mathematical formula are structures needing to be analyzed independently or structures needing to be analyzed comprehensively based on the primary formula knowledge graph of the target section;
if the structures on the equal sign or unequal sign side of the mathematical formula are structures needing to be analyzed independently, performing depth understanding on the structures on the equal sign or unequal sign side of the mathematical formula respectively and obtaining a depth understanding result;
and if the structures on the two sides of the equal sign or the unequal sign of the mathematical formula are structures needing comprehensive analysis, combining the structures on the two sides of the equal sign or the unequal sign of the mathematical formula, and performing depth understanding to obtain a depth understanding result.
It should be noted that, when a single equality or a single inequality is analyzed, the primary formula knowledge graph of the target chapter needs to be analyzed, if structures on both sides of the equality or the inequality in the primary formula knowledge graph are evaluated separately, in this embodiment, deep understanding (key information extraction, component analysis, structure type judgment, and the like) is performed on the structures on both sides of the equality or the inequality to obtain a deep understanding result, and if the structures on both sides of the equality or the inequality in the primary formula knowledge graph are evaluated comprehensively, in this embodiment, the structures on both sides of the equality or the inequality are combined, and the combined structure is subjected to deep understanding to obtain a deep understanding result.
The step of extracting the key information of the mathematical formula and judging the structure type of the mathematical formula according to the key information of the mathematical formula further comprises:
extracting operation symbol information of the mathematical formula, and analyzing the conditions of equal signs and unequal signs in the mathematical formula according to the operation symbol information of the mathematical formula;
if the mathematical formula only contains equal signs and the number of the equal signs is more than 1, splitting the mathematical formula into a plurality of single equations or single structures based on the primary formula knowledge graph of the target section, and performing deep understanding on the single equations or the single structures in sequence to obtain a deep understanding result.
The step of extracting the key information of the mathematical formula and judging the structure type of the mathematical formula according to the key information of the mathematical formula further comprises:
extracting operation symbol information of the mathematical formula, and analyzing the conditions of equal signs and unequal signs in the mathematical formula according to the operation symbol information of the mathematical formula;
if the mathematical formula only contains the unequal numbers and the number of the unequal numbers is more than 1, splitting the mathematical formula into a plurality of unequal formulas or sub-structures based on the primary formula knowledge graph of the target section, and performing deep understanding on the single inequality or the single structure in sequence to obtain a deep understanding result.
It should be noted that, if only equal signs are included in the mathematical formula and the number of equal signs is greater than 1, the mathematical formula is a continuous equation (e.g., a = B = C = D), if only unequal signs are included in the mathematical formula and the number of unequal signs is greater than 1, the mathematical formula is a continuous inequality (e.g., a < B < C < D), for the case of a continuous equation or a continuous inequality, the mathematical formula may be split into a single equation/inequality (a = B, a = C, a = D/a < B, a < C, a < D) or a single structure (a, B, C, D), different splitting strategies may be adopted specifically based on different scenes, the primary formula knowledge graph of the target chapter may be referred to, if the mathematical formula is split into a single equation/single inequality, the single equation/single inequality is deeply understood to obtain a depth understanding result, and if the formula is split into a single structure, the single structure is deeply understood to obtain a depth understanding result.
The step of deeply understanding the mathematical formula in the chapters based on the chapter-based primary formula knowledge graph to obtain a deep understanding result of the mathematical formula in the chapters, and adjusting the chapter-based primary formula knowledge graph according to the deep understanding result of the mathematical formula in the chapters to obtain a final-stage formula knowledge graph of the chapters further comprises:
and optimizing and adjusting the final-level formula knowledge graph of the chapters and the deep understanding result of each formula in the chapters based on the application scene requirements of the mathematical formula in the chapters to obtain the final deep understanding result of each formula in the chapters and the final formula knowledge graph of the chapters.
It should be noted that, mathematical formulas with different meanings are represented based on different mathematical scenes, if the deep understanding result of the meaning is different, the deep understanding result of the formula and the final-level formula knowledge map of the corresponding chapter need to be optimally adjusted based on the specific application scene requirements of the mathematical formula in the corresponding chapter, and the process of the optimal adjustment is a process of deep understanding the mathematical formula in the chapter again, so that the understanding result of the mathematical formula with higher accuracy and applicability can be obtained.
In summary, the invention first makes a primary formula knowledge graph of each chapter according to mathematical element entities, relationships among the entities and operational reasoning properties of each mathematical formula in the chapter, then performs deep understanding on the mathematical formula in the chapter based on the primary formula knowledge graph of the chapter to obtain a deep understanding result of the mathematical formula in the chapter, and adjusts the primary formula knowledge graph of the chapter according to the deep understanding result of the mathematical formula in the chapter to obtain a final formula knowledge graph of the chapter. Compared with the mode that the intelligent application of the existing high school mathematics subject directly carries out nlp processing on the formula text and then carries out intelligent recognition, the method carries out deep understanding on the mathematical formula so as to convert the mathematical formula into a knowledge graph in a natural language form, and then applies the knowledge graph to knowledge point marking and subject automatic recommendation application, so that the recognition effect of the application on the formula can be effectively improved.
Example 2
Referring to fig. 2, the present invention further provides an analysis system for high school mathematical formulas, the system comprising:
a formulating module: and the primary formula knowledge graph of each section is formulated according to the mathematical element entities, the relationships among the entities and the operational reasoning properties of each mathematical formula in the section.
A depth understanding module: the method is used for deeply understanding the mathematical formula in the chapters based on the primary formula knowledge graph of the chapters to obtain a deep understanding result of the mathematical formula in the chapters, and adjusting the primary formula knowledge graph of the chapters according to the deep understanding result of the mathematical formula in the chapters to obtain a final formula knowledge graph of the chapters.
The depth understanding module is further configured to:
judging whether the mathematical formula in the chapter is a complex mathematical entity formula or a simple mathematical entity formula;
if the mathematical formula in the chapters is a complex mathematical entity formula, performing component analysis on the mathematical formula based on a primary formula knowledge graph of the chapters to obtain a component analysis result of the mathematical formula, wherein the complex mathematical entity formula comprises but is not limited to a hook function, a fractional function, a composite function and a complex function, and the component analysis result of the mathematical formula comprises the hierarchical information and the split structure information of the mathematical formula;
extracting key information of each split structure of the mathematical formula and judging the structure type of each split structure of the mathematical formula according to the key information of each split structure of the mathematical formula, wherein the key information comprises but is not limited to simple mathematical entity information, operation symbol information, numerator and denominator information and internal element information;
and comprehensively judging the integral structure type of the mathematical formula according to the hierarchical information of the mathematical formula and the structure type of each split structure, and adjusting the primary formula knowledge graph of the target chapter to obtain the adjusted formula knowledge graph of the target chapter.
The depth understanding module is further to:
judging whether the mathematical formula in the section is a complex mathematical entity formula or a simple mathematical entity formula;
if the mathematical formula in the chapters is a simple mathematical entity formula, extracting key information of the mathematical formula, judging the structure type of the mathematical formula according to the key information of the mathematical formula, and adjusting the primary formula knowledge graph of the target chapters to obtain the formula knowledge graph after the target chapters are adjusted, wherein the key information comprises but is not limited to simple mathematical entity information, operation sign information, numerator information and internal element information.
The depth understanding module is further configured to:
extracting operation symbol information of the mathematical formula, and analyzing the equal sign and unequal sign conditions in the mathematical formula according to the operation symbol information of the mathematical formula;
if the mathematical formula only contains equal signs and the number of the equal signs is 1, or only contains unequal signs and the number of the unequal signs is 1, judging whether the structures on the two sides of the equal signs or the unequal signs of the mathematical formula are structures needing to be analyzed independently or structures needing to be analyzed comprehensively based on the primary formula knowledge graph of the target section;
if the structures on the equal sign or unequal sign side of the mathematical formula are structures needing to be analyzed independently, performing depth understanding on the structures on the equal sign or unequal sign side of the mathematical formula respectively and obtaining a depth understanding result;
and if the structures on the two sides of the equal sign or the unequal sign of the mathematical formula are structures needing comprehensive analysis, combining the structures on the two sides of the equal sign or the unequal sign of the mathematical formula, and performing depth understanding to obtain a depth understanding result.
The depth understanding module is further configured to:
extracting operation symbol information of the mathematical formula, and analyzing the equal sign and unequal sign conditions in the mathematical formula according to the operation symbol information of the mathematical formula;
if the mathematical formula only contains equal signs and the number of the equal signs is more than 1, splitting the mathematical formula into a plurality of single equations or single structures based on the primary formula knowledge graph of the target section, and performing deep understanding on the single equations or the single structures in sequence to obtain a deep understanding result.
The depth understanding module is further to:
extracting operation symbol information of the mathematical formula, and analyzing the conditions of equal signs and unequal signs in the mathematical formula according to the operation symbol information of the mathematical formula;
if the mathematical formula only contains the unequal numbers and the number of the unequal numbers is more than 1, splitting the mathematical formula into a plurality of unequal formulas or sub-structures based on the primary formula knowledge graph of the target section, and performing deep understanding on the single inequality or the single structure in sequence to obtain a deep understanding result.
The depth understanding module is further configured to:
and optimizing and adjusting the final-level formula knowledge graph of the chapters and the deep understanding result of each formula in the chapters based on the application scene requirements of the mathematical formula in the chapters to obtain the final deep understanding result of each formula in the chapters and the final formula knowledge graph of the chapters.
Example 3
Referring to fig. 3, the present invention further provides an apparatus for parsing a mathematical formula in high school, including a memory 20, a processor 10, and a computer program 30 stored in the memory and executable on the processor, where the processor 10 executes the computer program 30 to implement the method for parsing a mathematical formula in high school as described above.
The analytic device of the high school mathematical formula may specifically be a computer, a server, an upper computer, and the like, and the processor 10 may be a Central Processing Unit (CPU), a controller, a microcontroller, a microprocessor, or another data Processing chip in some embodiments, and is configured to run a program code stored in the memory 20 or process data, for example, execute an access restriction program.
The memory 20 includes at least one type of readable storage medium including flash memory, hard disks, multimedia cards, card-type memory (e.g., SD or DX memory, etc.), magnetic memory, magnetic disks, optical disks, and the like. The memory 20 may in some embodiments be an internal storage unit of the resolving device of the high school mathematical formula, for example a hard disk of the resolving device of the high school mathematical formula. The memory 20 may also be an external storage device of the parsing device of the high school mathematical formula in other embodiments, such as a plug-in hard disk equipped on the parsing device of the high school mathematical formula, a Smart Media Card (SMC), a Secure Digital (SD) Card, a Flash memory Card (Flash Card), and so on. Further, the memory 20 may also include both an internal storage unit of the resolving device of the high school mathematical formula and an external storage device. The memory 20 may be used not only to store application software installed in the analysis device of the high school mathematical formula and various types of data, but also to temporarily store data that has been output or is to be output.
It should be noted that the configuration shown in fig. 3 does not constitute a limitation on the resolving device for the high school mathematical formula, which may include fewer or more components than shown, or some components in combination, or a different arrangement of components in other embodiments.
An embodiment of the present invention further provides a computer-readable storage medium, on which a computer program is stored, where the computer program, when executed by a processor, implements the method for analyzing the mathematical formula in high school as described above.
The above-mentioned embodiments only express several embodiments of the present invention, and the description thereof is specific and detailed, but not to be construed as limiting the scope of the present invention. It should be noted that, for a person skilled in the art, several variations and modifications can be made without departing from the inventive concept, which falls within the scope of the present invention. Therefore, the protection scope of the present invention should be subject to the appended claims.
Claims (9)
1. A method for resolving a high school mathematical formula, the method comprising:
formulating a primary formula knowledge graph of each chapter according to mathematical element entities, relationships among the entities and operational reasoning properties of each mathematical formula in the chapter;
deeply understanding a mathematical formula in the chapters based on the primary formula knowledge graph of the chapters to obtain a deep understanding result of the mathematical formula in the chapters, and adjusting the primary formula knowledge graph of the chapters according to the deep understanding result of the mathematical formula in the chapters to obtain a final formula knowledge graph of the chapters;
the step of deeply understanding the mathematical formula in the chapters to obtain the deep understanding result of the mathematical formula in the chapters based on the chapter-based primary formula knowledge graph specifically comprises the following steps:
judging whether the mathematical formula in the section is a complex mathematical entity formula or a simple mathematical entity formula;
if the mathematical formula in the chapters is a complex mathematical entity formula, performing component analysis on the mathematical formula based on a primary formula knowledge graph of the chapters to obtain a component analysis result of the mathematical formula, wherein the complex mathematical entity formula comprises a hook function, a fractional function, a composite function and a complex function, and the component analysis result of the mathematical formula comprises hierarchical information and split structure information of the mathematical formula;
extracting key information of each split structure of the mathematical formula and judging the structure type of each split structure of the mathematical formula according to the key information of each split structure of the mathematical formula, wherein the key information comprises simple mathematical entity information, operation symbol information, numerator-denominator information and internal element information;
and comprehensively judging the integral structure type of the mathematical formula according to the hierarchical information of the mathematical formula and the structure type of each split structure, and adjusting the primary formula knowledge graph of the target chapter to obtain the adjusted formula knowledge graph of the target chapter.
2. The analytic method of high school mathematical formula according to claim 1, wherein the step of deeply understanding the mathematical formula in the chapter based on the primary formula knowledge-graph of the chapter to obtain a deep understanding result of the mathematical formula in the chapter, and adjusting the primary formula knowledge-graph of the chapter according to the deep understanding result of the mathematical formula in the chapter to obtain a final formula knowledge-graph of the chapter further comprises:
optimizing and adjusting the final-level formula knowledge graph of the chapters and the deep understanding result of each formula in the chapters based on the application scene requirements of the mathematical formula in the chapters to obtain the final deep understanding result of each formula in the chapters and the final formula knowledge graph of the chapters.
3. The method for parsing a mathematical formula in senior high schools according to claim 1, wherein the step of deeply understanding the mathematical formula in chapters based on the chapter-based primary formula knowledge base to obtain the deep understanding result of the mathematical formula in chapters specifically comprises:
judging whether the mathematical formula in the section is a complex mathematical entity formula or a simple mathematical entity formula;
if the mathematical formula in the chapters is a simple mathematical entity formula, extracting key information of the mathematical formula, judging the structure type of the mathematical formula according to the key information of the mathematical formula, and adjusting the primary formula knowledge graph of the target chapters to obtain the formula knowledge graph after the target chapters are adjusted, wherein the key information comprises the simple mathematical entity information, operation symbol information, numerator information and internal element information.
4. The analytic method of a high school mathematical formula according to claim 3, wherein the step of extracting the key information of the mathematical formula and determining the structure type of the mathematical formula according to the key information of the mathematical formula specifically comprises:
extracting operation symbol information of the mathematical formula, and analyzing the conditions of equal signs and unequal signs in the mathematical formula according to the operation symbol information of the mathematical formula;
if the mathematical formula only contains equal signs and the number of the equal signs is 1, judging whether the structures on the two sides of the equal signs of the mathematical formula are structures needing to be analyzed independently or structures needing to be analyzed comprehensively based on the primary formula knowledge graph of the target section;
if the structures on the two sides of the equal sign of the mathematical formula are structures which need to be analyzed independently, performing depth understanding on the structures on the two sides of the equal sign of the mathematical formula respectively and obtaining a depth understanding result;
and if the structures on the two sides of the equal sign of the mathematical formula are structures needing comprehensive analysis, combining the structures on the two sides of the equal sign of the mathematical formula, and performing deep understanding to obtain a deep understanding result.
5. The analytic method of high school mathematical formula of claim 3, wherein the step of extracting the key information of the mathematical formula and determining the structure type of the mathematical formula according to the key information of the mathematical formula specifically comprises:
extracting operation symbol information of the mathematical formula, and analyzing the conditions of equal signs and unequal signs in the mathematical formula according to the operation symbol information of the mathematical formula;
if the mathematical formula only contains equal signs and the number of the equal signs is more than 1, splitting the mathematical formula into a plurality of single equations or single structures based on the primary formula knowledge graph of the target section, and performing deep understanding on the single equations or the single structures in sequence to obtain deep understanding results.
6. The analytic method of high school mathematical formula of claim 3, wherein the step of extracting the key information of the mathematical formula and determining the structure type of the mathematical formula according to the key information of the mathematical formula specifically comprises:
extracting operation symbol information of the mathematical formula, and analyzing the equal sign and unequal sign conditions in the mathematical formula according to the operation symbol information of the mathematical formula;
if the mathematical formula only contains the unequal numbers and the number of the unequal numbers is more than 1, splitting the mathematical formula into a plurality of unequal formulas or sub-structures based on the primary formula knowledge graph of the target section, and performing deep understanding on the single inequality or the single structure in sequence to obtain a deep understanding result.
7. An analytic system of a high school mathematical formula, comprising:
a formulating module: the primary formula knowledge graph of each section is formulated according to mathematical element entities, relationships among the entities and operational reasoning properties of each mathematical formula in the section;
a depth understanding module: the method comprises the steps of deeply understanding a mathematical formula in a chapter based on a primary formula knowledge graph of the chapter to obtain a deep understanding result of the mathematical formula in the chapter, and adjusting the primary formula knowledge graph of the chapter according to the deep understanding result of the mathematical formula in the chapter to obtain a final formula knowledge graph of the chapter;
the depth understanding module is further configured to:
judging whether the mathematical formula in the chapter is a complex mathematical entity formula or a simple mathematical entity formula;
if the mathematical formula in the chapters is a complex mathematical entity formula, performing component analysis on the mathematical formula based on a primary formula knowledge graph of the chapters to obtain a component analysis result of the mathematical formula, wherein the complex mathematical entity formula comprises but is not limited to a hook function, a fractional function, a composite function and a complex function, and the component analysis result of the mathematical formula comprises the hierarchical information and the splitting structure information of the mathematical formula;
extracting key information of each split structure of the mathematical formula and judging the structure type of each split structure of the mathematical formula according to the key information of each split structure of the mathematical formula, wherein the key information comprises but is not limited to simple mathematical entity information, operation symbol information, numerator-denominator information and internal element information;
and comprehensively judging the integral structure type of the mathematical formula according to the hierarchical information of the mathematical formula and the structure type of each split structure, and adjusting the primary formula knowledge graph of the target chapter to obtain the adjusted formula knowledge graph of the target chapter.
8. A computer-readable storage medium, on which a computer program is stored, which, when being executed by a processor, carries out a method of resolving a high school mathematical formula as claimed in any one of claims 1 to 6.
9. An apparatus for resolving a high school mathematical formula, comprising a memory, a processor and a computer program stored on the memory and executable on the processor, the processor implementing a method for resolving a high school mathematical formula as claimed in any one of claims 1 to 6 when executing the program.
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