周长与面积计算

GeoGebra 命令及参数

1. Segment(E, E + (20, 0)) → mySlider
2. Point(mySlider) → S
3. Length(Segment[E, S]) → width
4. UnicodeToLetter(10007) → xmark
5. UnicodeToLetter(10003) → cmark
6. Line(A, yAxis) → l_1
7. Line(B, yAxis) → l_2
8. Intersect(l_2, Line[C, xAxis]) → D
9. Polygon(C, A, B, D) → q1, c, a_1, b, d
10. Length(Segment[A, C]) → length
11. Perimeter(q1) → perim
12. Length(Segment[E, S]) → test
13. Segment(A - (2, 0), A + (sum3Sides + 2, 0)) → f
14. If(length ≟ 0, "length", If[width ≟ 0, "width", ""]) → zeroDimension
15. LaTeX((("\text{Recognize that when the " * zeroDimension) * " is 0 units, no rectangle exists.}")) → msgNoRectangle
16. LaTeX("\text{\textbf{Instructions: }Move the slider to change the width of the rectangle. }") → SpecInstruc
17. LaTeX("\text{\textbf{Question: }On the rectangle pictured below, the sum of the \(3\) enclosing side lengths \\(excluding the bottom side) is fixed. How are the length and the area of the rectangle\\affected as the width of the rectangle changes? What are the dimensions when the \\area is a maximum?}") → MainInstruc