Theoretical and Natural Science
- The Open Access Proceedings Series for Conferences
Theoretical and Natural Science
Vol. 25, 20 December 2023
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Research and analysis of problem-solving strategies of conic section in high school mathematics
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Abstract
The conic section is a crucial part of high school mathematics and usually plays the role of tough problem in examinations. Hence, this dissertation will use the literature analysis method to introduce the mathematical background of the conic section to enable students to know about the conic section more clearly and explain the basic concept of the conic section such as the first and second definitions of conic section, then introduce some second level conclusions such as focus length formula and average property of parabola. After that, this dissertation will provide some conic section problems in past exam papers and corresponding problem-solving processes to show how to use the basic concept and these common second-level conclusions of the conic section, then summarize the train of thought of the conic section. For choice questions and fill-in-the-blank questions, combining the condition given by questions with the first definition and second common level is important, and for questions that need to write the complete process, setting parameters and Vieta theorem is essential, and for extremely complicated problems, special methods such as homogenization can be considered to reduce the calculation.
Keywords
Conic Section, Eccentricity, Vieta Theorem
References
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Data Availability
The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.
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- Volume Title
- Proceedings of the 3rd International Conference on Computing Innovation and Applied Physics
- ISBN (Print)
- 978-1-83558-233-6
- ISBN (Online)
- 978-1-83558-234-3
- Published Date
- 20 December 2023
- Series
- Theoretical and Natural Science
- ISSN (Print)
- 2753-8818
- ISSN (Online)
- 2753-8826
- DOI
- 10.54254/2753-8818/25/20240901
- Copyright
- 20 December 2023
- Open Access
- This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited