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

Wenguo Liang ,Haiguo Liu ,Zhu Lan

doi:10.18686/ijmss.v7i4.5504

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

Wenguo Liang

Haiguo Liu

Zhu Lan

International Journal of Mathematics and Systems Science 2024, 7(4); https://doi.org/10.18686/ijmss.v7i4.5504

Submitted：28 Mar 2024

Accepted：28 Mar 2024

Published：28 Mar 2024

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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.

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References

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

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

[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.

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

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

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