相似变换与三角形

GeoGebra 命令及参数

1. UnicodeToLetter(10007) → xmark
2. UnicodeToLetter(10003) → cmark
3. Rotate(K, α, A) → K'
4. Vector(A, C) → u
5. Vector(A, B) → v
6. Polygon(A, A + u, A + v) → smalltriangle, f, a, g
7. Polygon(A, A + (scaleFactor * u), A + (scaleFactor * v)) → largeTriangle, h, a_1, i
8. Sequence(Sequence[Polygon[A + (j * v) + ((k - j - 1) * u), A + ((j + 1) * v) + ((k - j - 1) * u), A + (j * v) + ((k - j) * u)], j, 0, k - 1], k, 1, scaleFactor) → TriangleList
9. Polygon(A, A + v, A + u + v, A + u) → smallPgram, j, k, l, m
10. Polygon(A, A + (scaleFactor * u), A + (scaleFactor * (u + v)), A + (scaleFactor * v)) → largePgram, a_2, n, p, q
11. Sequence(Sequence[Polygon[A + ((j - 1) * v) + (k * u), A + (j * v) + (k * u), A + (j * v) + ((k + 1) * u), A + ((j - 1) * v) + ((k + 1) * u)], j, 1, scaleFactor], k, 0, scaleFactor - 1) → ParallelogramList
12. Polygon(A, C, D, B) → smallTrapezoid, a_3, c, d, b
13. Polygon(A, A + (scaleFactor * u), A + (scaleFactor * u) + (Vector[C, D] * scaleFactor), A + (scaleFactor * v)) → largeTrapezoid, a_4, r, s, t
14. LaTeX(If[displayTriangle, "triangle", If[displayParallelogram, "parallelogram", "trapezoid"]]) → curFigure
15. LaTeX("\text{\textbf{Question: }How are the areas of these two similar figures related?}") → MainInstruc
16. LaTeX("\text{\textbf{Instructions: }Use the slider to change the scale factor. What do you notice about the\\relationship between the areas of the similar figures?\\Click the check boxes to experiment with figures of different shapes. What can you observe?}") → SpecInstruc
17. LaTeX("\text{Check a box to indicate what shape you want to display}") → txtNoSelection