Based GeoGebra Software to Explore the Fixed Value Problem in Conic Curves

Wenguo Liang, Haiguo Liu, Zhu Lan

Article ID: 5504
Vol 7, Issue 4, 2024

VIEWS - 27 (Abstract) 15 (PDF)

Abstract


With the dynamic demonstration function of GeoGebra software, a class of fixed value problems in conic curves is dynamically
explored, students are inspired to find out the nature of “unchanging” from “changing”, and they are guided to observe, generalize,conjecture
and prove the generalized mathematical conclusions, and analogies from parabola to ellipse and hyperbola.

Keywords


GeoGebra Software; Fixed Value Problems; Dynamic Exploration

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References


1. [1] Chen Qinghua, Xiao Jidong, Jiang Luding. Based on dynamic investigation leading to variational sublimation--Investigating fixed

2. value problems in a class of conic curves with Super Drawing Board software[J]. China Mathematics Education,2016(20):61-64.

3. [2] Lu Jian, Wu Ruixue. Investigating “butterfly” type fixed value problems in conic curves using Geometry Drawing Board software[J]. China Mathematics Education,2020(Z2):111-115.

4. [3] Xu Wen,Qi Jie. Exploring plane curves based on GeoGebra software--an example of the teaching design of “Cassini’s ovoid

5. line”[J]. Secondary Mathematics Monthly,2023(09):68-70+75.




DOI: https://doi.org/10.18686/ijmss.v7i4.5504

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