Parabola from Spreadsheet
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MalinC's GeoGebra-book
This example demonstrates the dynamic creation of a parabola using spreadsheet techniques. It involves core math concepts like coordinate geometry, dynamic color changes, and matrix operations. The construction uses the LineBisector command and objects such as A, B1-B30, A1-A7 for building and adjusting the parabola's dynamic properties. Suitable for high school and above students to learn parabolic properties and dynamic transformations, or for mathematical teaching demonstrations.
GeoGebra Commands & Parameters
LineBisector(B1, A) → C1LineBisector(B2, A) → C2LineBisector(B3, A) → C3LineBisector(B4, A) → C4LineBisector(B5, A) → C5LineBisector(B6, A) → C6LineBisector(B7, A) → C7LineBisector(B8, A) → C8LineBisector(B9, A) → C9LineBisector(B10, A) → C10LineBisector(B11, A) → C11LineBisector(B12, A) → C12LineBisector(B13, A) → C13LineBisector(B14, A) → C14LineBisector(B15, A) → C15LineBisector(B16, A) → C16LineBisector(B17, A) → C17LineBisector(B18, A) → C18LineBisector(B19, A) → C19LineBisector(B20, A) → C20LineBisector(B21, A) → C21LineBisector(B22, A) → C22LineBisector(B23, A) → C23LineBisector(B24, A) → C24LineBisector(B25, A) → C25LineBisector(B26, A) → C26LineBisector(B27, A) → C27LineBisector(B28, A) → C28LineBisector(B29, A) → C29LineBisector(B30, A) → C30LineBisector(B31, A) → C31LineBisector(B32, A) → C32LineBisector(B33, A) → C33LineBisector(B34, A) → C34LineBisector(B35, A) → C35LineBisector(B36, A) → C36LineBisector(B37, A) → C37LineBisector(B38, A) → C38LineBisector(B39, A) → C39LineBisector(B40, A) → C40LineBisector(B41, A) → C41LineBisector(B42, A) → C42LineBisector(B43, A) → C43LineBisector(B44, A) → C44LineBisector(B45, A) → C45LineBisector(B46, A) → C46LineBisector(B47, A) → C47LineBisector(B48, A) → C48LineBisector(B49, A) → C49LineBisector(B50, A) → C50LineBisector(B51, A) → C51LineBisector(B52, A) → C52LineBisector(B53, A) → C53LineBisector(B54, A) → C54LineBisector(B55, A) → C55LineBisector(B56, A) → C56LineBisector(B57, A) → C57LineBisector(B58, A) → C58LineBisector(B59, A) → C59LineBisector(B60, A) → C60LineBisector(B61, A) → C61
AI Drawing Prompt Reference
Draw a parabola with vertex at point A and passing through points B1 to B45 using the perpendicular bisectors of the segments. First, create points A and B1 to B45, then calculate the perpendicular bisectors of segments B1 to B45 with A, which will dynamically generate the parabola.
The prompt above was compiled from the original drawing commands and is for reference only.