线性模式探索

GeoGebra 命令及参数

1. Random(2, 6) → b
2. Random(1, 6) → m
3. UnicodeToLetter(10007) → xmark
4. UnicodeToLetter(10003) → cmark
5. Textfield(textM) → ansMbox
6. Textfield(textB) → ansBbox
7. Sequence(Polygon[(i, 0), (i + 1, 0), 4], i, 1, b) → startFigPurpleSquares
8. Sequence(Polygon[(i + 7, 0), (i + 8, 0), 4], i, 1, b) → fig1purpleSquares
9. Sequence(Polygon[(i + 14, 0), (i + 15, 0), 4], i, 1, b) → fig2purpleSquares
10. Sequence(Polygon[(i, 0), (i + 1, 0), 4], i, 1, b) → startFigBorders
11. Sequence(Polygon[(i + 21, 0), (i + 22, 0), 4], i, 1, b) → fig3purpleSquares
12. Sequence(Sequence[Polygon[(8 + b - i, j), (8 + b - i + 1, j), 4], i, 1, m], j, 1, 1) → fig1orangeSquares
13. Sequence(Sequence[Polygon[(15 + b - i, j), (15 + b - i + 1, j), 4], i, 1, m], j, 1, 2) → fig2orangeSquares
14. Sequence(Sequence[Polygon[(22 + b - i, j), (22 + b - i + 1, j), 4], i, 1, m], j, 1, 3) → fig3orangeSquares
15. Join({Sequence[Polygon[(i + 7, 0), (i + 8, 0), 4], i, 1, b], Sequence[Sequence[Polygon[(8 + b - i, j), (8 + b - i + 1, j), 4], i, 1, m], j, 1, 1]}) → fig1borders
16. Join({Sequence[Polygon[(i + 14, 0), (i + 15, 0), 4], i, 1, b], Sequence[Sequence[Polygon[(15 + b - i, j), (15 + b - i + 1, j), 4], i, 1, m], j, 1, 2]}) → fig2borders
17. Join({Sequence[Polygon[(i + 21, 0), (i + 22, 0), 4], i, 1, b], Sequence[Sequence[Polygon[(22 + b - i, j), (22 + b - i + 1, j), 4], i, 1, m], j, 1, 3]}) → fig3borders
18. LaTeX("\text{\textbf{Question: }What do you notice about this pattern?}") → MainInstruc
19. LaTeX("\text{\textbf{Instructions: }Determine how many tiles the pattern starts with and how many tiles\\each figure in the pattern grows by.}") → SpecInstruc
20. LaTeX("\text{The starting figure has " + b + " tiles and each figure is " + m + " tile(s) larger\\than the previous one.}") → feedback