圆柱表面积计算

GeoGebra 命令及参数

1. Zip((A, sliderYval), A, validXvals) → sliderPoints
2. Point(sliderPoints) → S
3. IndexOf(x(S), validXvals) → currRow
4. Join({Sequence["white", i, 1, currRow - 1], {"#fff59d"}, Sequence["white", i, currRow + 1, Max[13, maxRadius + 1]]}) → RowColours
5. Sequence(Sequence[(((("\cellcolor{" * Element[RowColours, j]) * "}{") * Element[tblVals, i, j]) * "}"), i, 1, 3], j, 1, maxRow) → ListData
6. Join({ListHeader, ListData}) → FullList
7. TableText(FullList, "|111_111111111111l") → displayTbl
8. LaTeX("\text{\textbf{Instructions: }Move the slider to change the radius of the cylinder.}") → SpecInstruc
9. Element(First[sliderPoints], 1) → sliderEnd
10. Segment(sliderStart, sliderEnd) → mySlider
11. TableText({{LaTeX["\text{Radius =}"], currRadius}, {LaTeX["\text{Height =}"], height}, {LaTeX["\text{Volume =}"], fixedVolume}, {LaTeX["\text{Surface Area =}"], currSA}}, "|101 _1000 r") → currStatsDisp
12. Cylinder(Circle[(0, 0, -25), currRadius, xOyPlane], height) → a_2, a_2, a_3
13. LaTeX("\text{\textbf{Question: }A cylinder has a fixed volume of 400. As the radius changes, what happens \\to the height and the surface area? What are the dimensions of the cylinder when the \\surface area is a minimum?}") → MainInstruc