方程与不等式线性范例

GeoGebra 命令及参数

1. LaTeX(steps) → counter
2. LaTeX("\text{Move the slider to solve the problem.}") → text0
3. LaTeX("\text{Use the buttons below to return to the original}\cr\text{problem or randomly generate a similar practice}\cr\text{problem.}") → RandomizationText
4. Corner(2, 3) → topright
5. Corner(2, 1) → bottomleft
6. Simplify((ga * x) + gb) → g
7. LaTeX((((("\text{Graph }\textcolor{#000099}{f(x) = " * f) * "}\text{ and }\textcolor{#000099}{g(x) = ") * g) * "}\text{ on the same}\cr\text{coordinate axes.}")) → text1
8. LaTeX((((("\text{Use a graph to approximate the solution set for the}\cr\text{following system of equations.}\cr\text{Find }\textcolor{#000099}{f(x) – g(x)}\text{ for your estimates.}\cr\textcolor{#000099}{f(x)=" * f) * "}\cr\textcolor{#000099}{g(x)=") * g) * "}")) → Problem
9. LaTeX("\text{Approximate the values for }\textcolor{#000099}{x}\text{ where }\textcolor{#000099}{f(x) = g(x)}\text{.}") → text2
10. LaTeX((("\text{The graphs intersect in one point. From the graph, }\cr\textcolor{#000099}{x = " * solx) * "}\text{ appears to be a good estimate.}")) → text3
11. LaTeX((((((("\text{Evaluate }\textcolor{#000099}{f(x)=" * f) * "}\text{ and }\textcolor{#000099}{g(x)=") * g) * "}\text{ for }\textcolor{#000099}{x=") * solx) * "}.")) → text4
12. LaTeX((("\text{Change ``}\textcolor{#000099}{f(x) =}\text{'' and ``}\textcolor{#000099}{g(x) =}\text{'' to ``}\textcolor{#000099}{y =}\text{'' and}\cr\text{substitute }\textcolor{#000099}{" * solx) * "}\text{ for }\textcolor{#000099}{x}.")) → text5
13. LaTeX((((((((("\textcolor{#000099}{y=" * f) * "=") * fa) * "(") * solx) * ")=") * soly) * "}")) → text6
14. If(gb > 0, LaTeX[("+" * gb)], LaTeX[gb]) → gadd
15. LaTeX("\text{Find the difference in the y-values for the equations.}") → text8
16. LaTeX((((((((((("\textcolor{#000099}{y=" * g) * "=") * ga) * "(") * solx) * ")") * gadd) * "=") * solyg) * "}")) → text7
17. If(ydiff ≟ 0, LaTeX["satisfies"], LaTeX["approximately satisfies"]) → sat
18. If(ydiff ≟ 0, LaTeX["x-coordinate"], LaTeX["approximate x-coordinate"]) → coord
19. If(ydiff ≟ 0, LaTeX["solution"], LaTeX["approximate solution"]) → soln
20. LaTeX((((((("\text{The point whose ordered pair is }\textcolor{#000099}{(" * solx) * ", ") * soly) * ")}\text{ is the}\cr\text{") * soln) * " of this system.}")) → text10
21. LaTeX((((((((((((("\text{Because }\textcolor{#000099}{" * soly) * "-(") * solyg) * ")=") * ydiff) * "}\text{, }\textcolor{#000099}{x=") * solx) * "}\cr\text{") * sat) * " }\textcolor{#000099}{f(x)=g(x)}\text{ and is the}\cr\text{") * coord) * " of a solution to the}\cr\text{system.}")) → text9