映射图与复合函数

GeoGebra 命令及参数

1. TableText({{"0"}, {"\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ "}}, "hc") → Xt0
2. Corner(1) → corner1
3. Corner(2) → corner2
4. Corner(3) → corner3
5. Corner(4) → corner4
6. Corner(5) → screenDim
7. Distance(corner1, corner2) → distX
8. Distance(corner1, corner4) → distY
9. Line(OY, yAxis) → YaxisLine
10. Text("(x,y) = (" + (x(A)) + "," + (y(A)) + ") in black coordinate system") → text2
11. Text("(X,Y) = (" + (x(A) - x(OY)) + "," + (y(A) - y(OY)) + ") in blue coordinate system") → text1
12. panelleft1(panelsize) → panelquad, panelseg1, panelseg2, panelseg3, panelseg4, panelline
13. Textfield(f) → InputBox1
14. Line(OX, yAxis) → XaxisLine
15. Textfield(x0) → InputBox3
16. If(minstepfrac > lg(5), 10^(minsteppower + 1), If[minstepfrac > lg(2), (5 * 10^(minsteppower)), If[minstepfrac > 0, (2 * 10^(minsteppower)), 10^(minsteppower)]]) → stepsize
17. Sequence(Text[TableText[{{"\phantom{(}" + (x0 + (n * stepsize)) + ""}, {"\phantom{(} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ "}}, "hr"], (x(OX) - Distance[Corner[Xt0, 1], Corner[Xt0, 2]] + 7 / unitX, (n * steplength) + y(OX) + (Distance[Corner[Xt0, 1], Corner[Xt0, 4]] * 0.25) + 4 / unitY), true, true], n, ceil((y(Corner[1]) - y(OX)) / steplength), floor((y(Corner[4]) - y(OX)) / steplength)) → XaxisNumbers
18. Sequence(Segment[(x(OX), y(OX) + (n * steplength)), (x(OX) - 2 / unitX, y(OX) + (n * steplength))], n, ceil((y(Corner[1]) - y(OX)) / steplength), floor((y(Corner[4]) - y(OX)) / steplength)) → XaxisTicks
19. Sequence(Text[TableText[{{"\phantom{(}" + (y0 + (n * stepsize)) + ""}, {"\phantom{(} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ "}}, "hr"], (x(OY) - Distance[Corner[Xt0, 1], Corner[Xt0, 2]] + 7 / unitX, (n * steplength) + y(OY) + (Distance[Corner[Xt0, 1], Corner[Xt0, 4]] * 0.25) + 4 / unitY), true, true], n, ceil((y(Corner[1]) - y(OY)) / steplength), floor((y(Corner[4]) - y(OY)) / steplength)) → YaxisNumbers
20. Sequence(Segment[(x(OY), y(OY) + (n * steplength)), (x(OY) - 2 / unitX, y(OY) + (n * steplength))], n, ceil((y(Corner[1]) - y(OY)) / steplength), floor((y(Corner[4]) - y(OY)) / steplength)) → YaxisTicks
21. Vector((xpos, 0), (ypos, 0)) → u
22. Sequence(i / spacing, i, ((-numarrows) * spacing), (numarrows * spacing)) → arrowstarts
23. Zip(x0 + (as * numminstep), as, arrowstarts) → arrowxvals
24. Zip(f(ax), ax, arrowxvals) → arrowyvals
25. Zip((xpos, ((xv - x0) * steplength / stepsize)), xv, arrowxvals) → arrowxcoords
26. Zip((ypos, ((yv - y0) * steplength / stepsize)), yv, arrowyvals) → arrowycoords
27. Zip(Vector[ax, ay], ax, arrowxcoords, ay, arrowycoords) → farrows
28. Zip(Line[ax, ay], ax, arrowxcoords, ay, arrowycoords) → flines
29. Textfield(g) → InputBox2
30. Line(OZ, yAxis) → ZaxisLine
31. Sequence(Text[TableText[{{"\phantom{(}" + (z0 + (n * stepsize)) + ""}, {"\phantom{(} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ "}}, "hr"], (x(OZ) - Distance[Corner[Xt0, 1], Corner[Xt0, 2]] + 7 / unitX, (n * steplength) + y(OZ) + (Distance[Corner[Xt0, 1], Corner[Xt0, 4]] * 0.25) + 4 / unitY), true, true], n, ceil((y(Corner[1]) - y(OZ)) / steplength), floor((y(Corner[4]) - y(OZ)) / steplength)) → ZaxisNumbers
32. Sequence(Segment[(x(OZ), y(OZ) + (n * steplength)), (x(OZ) - 2 / unitX, y(OZ) + (n * steplength))], n, ceil((y(Corner[1]) - y(OZ)) / steplength), floor((y(Corner[4]) - y(OZ)) / steplength)) → ZaxisTicks
33. Zip(g(f(ax)), ax, arrowxvals) → arrowzvals
34. Zip((zpos, ((zv - z0) * steplength / stepsize)), zv, arrowzvals) → arrowzcoords
35. Zip(Vector[ay, az], ay, arrowycoords, az, arrowzcoords) → garrows
36. Zip(Vector[ax, az], ax, arrowxcoords, az, arrowzcoords) → harrows
37. Vector((ypos, 0), (zpos, 0)) → v
38. Zip(Line[ay, az], ay, arrowycoords, az, arrowzcoords) → glines
39. Zip(Line[ax, az], ax, arrowxcoords, az, arrowzcoords) → hlines