一元一次方程实例

GeoGebra 命令及参数

1. If(operation1 ≟ "sum", equals - simplen, equals + simplen) → newEqualsn
2. LaTeX(steps) → counter
3. LaTeX("\text{Use the buttons below to return to the original problem or}\cr\text{randomly generate a similar practice problem.}") → RandomizationText
4. Corner(1) → A
5. Corner(3) → B
6. LaTeX("\text{Apply the Distributive Property.}") → text1
7. LaTeX("\text{Isolate the variable in the resulting equation.}") → text8
8. FractionText(simplen) → simple
9. LaTeX((((((((((((((((((((((("\text{" * numWord) * " ") * denWord) * " of the ") * operation1) * " of a number ") * operation2) * " ") * add) * " is ") * equals) * "}\cr\textcolor{#000099}{\frac{") * num) * "}{") * denom) * "}\left(x") * operation3) * "") * add) * "\right)=") * equals) * "}")) → Problem
10. LaTeX((((("\text{The Distributive Property states that }\textcolor{#000099}{a(b " * operation3) * " c) = ab ") * operation3) * " ac}.")) → text2
11. LaTeX((((((((((((((("\text{For }\textcolor{#000099}{\frac{" * num) * "}{") * denom) * "}\left(x") * operation3) * "") * add) * "\right)=") * equals) * "}\text{ each of the terms in parentheses needs to be multiplied by }\textcolor{#000099}{\frac{") * num) * "}{") * denom) * "}}.")) → text3
12. LaTeX((("\text{Apply the " * operation4) * " Property of Equality.}")) → text10
13. FractionText(newEqualsn) → newEquals
14. LaTeX((((((((("\text{In order to isolate the variable, the term }\textcolor{#000099}{\frac{" * num) * "}{") * denom) * "}x}\text{ must first be isolated. Look at the}\cr\text{operation being used on the term with }\textcolor{#000099}{\frac{") * num) * "}{") * denom) * "}x}\text{, and use the opposite operation to}\cr\text{isolate the term. }")) → text9
15. FractionText(xvaln) → xval
16. LaTeX((((((((((((("\text{The value for }\textcolor{#000099}{x}\text{ in }\textcolor{#000099}{\frac{" * num) * "}{") * denom) * "}\left(x") * operation3) * "") * add) * "\right)=") * equals) * "}\text{ is }\textcolor{#000099}{") * xval) * "}.")) → text18
17. LaTeX((((((("\text{By " * operation5) * " }\textcolor{#000099}{") * simple) * "}\text{ ") * operationPrep) * " both sides of the equation, both sides of the equation will}\cr\text{remain equal, but the term containing the variable }\textcolor{#000099}{x}\text{ will be isolated.}")) → text11
18. TableText({{LaTeX[(((((((((("\textcolor{#000099}{\frac{" * num) * "}{") * denom) * "}\left(x") * operation3) * "") * add) * "\right)=") * equals) * "}")], LaTeX["\text{Original equation}"]}, {LaTeX[(((((((((((((("\textcolor{#000099}{\frac{" * num) * "}{") * denom) * "}x ") * operation3) * " \frac{") * num) * "}{") * denom) * "}(") * add) * ")=") * equals) * "}")], LaTeX["\text{Distribute.}"]}, {LaTeX[(((((((((("\textcolor{#000099}{\frac{" * num) * "}{") * denom) * "}x ") * operation3) * " ") * simple) * "=") * equals) * "}")], LaTeX["\text{Simplify.}"]}}, "l") → text6
19. LaTeX((((((((((("\text{Once the Distributive Property is applied, the resulting equation is }\textcolor{#000099}{\frac{" * num) * "}{") * denom) * "}x ") * operation3) * " ") * simple) * "=") * equals) * ".}")) → text7
20. TableText({{LaTeX[(((((((((("\textcolor{#000099}{\frac{" * num) * "}{") * denom) * "}x ") * operation3) * " ") * simple) * "=") * equals) * "}")], LaTeX["\text{Equation from the previous step}"]}, {LaTeX[(((((("\textcolor{#000099}{\frac{" * num) * "}{") * denom) * "}x =") * newEquals) * "}")], LaTeX[(((((("\text{" * operation6) * " }\textcolor{#000099}{") * simple) * "}\text{ ") * operationPrep) * " both sides of the equation.}")]}}, "l") → text13
21. LaTeX((((("\text{In order to isolate }\textcolor{#000099}{x}\text{ from the term }\textcolor{#000099}{\frac{" * num) * "}{") * denom) * "}x}\text{, apply the Multiplication Property of Equality.}")) → text14
22. TableText({{LaTeX[(((((("\textcolor{#000099}{\frac{" * num) * "}{") * denom) * "}x =") * newEquals) * "}")], LaTeX["\text{Equation from the previous step}"]}, {LaTeX[(("\textcolor{#000099}{x =" * xval) * "}")], LaTeX[(((("\text{Multiply both sides by the reciprocal, }\textcolor{#000099}{\frac{" * denom) * "}{") * num) * "}.}")]}}, "l") → text17
23. TableText({{LaTeX[(((((((((("\textcolor{#000099}{\frac{" * num) * "}{") * denom) * "}\left(x") * operation3) * "") * add) * "\right)=") * equals) * "}")], LaTeX["\text{Original equation}"]}}, "l") → text4
24. TableText({{LaTeX[(((((((((("\textcolor{#000099}{\frac{" * num) * "}{") * denom) * "}\left(x") * operation3) * "") * add) * "\right)=") * equals) * "}")], LaTeX["\text{Original equation}"]}, {LaTeX[(((((((((((((("\textcolor{#000099}{\frac{" * num) * "}{") * denom) * "}x ") * operation3) * " \frac{") * num) * "}{") * denom) * "}(") * add) * ")=") * equals) * "}")], LaTeX["\text{Distribute.}"]}}, "l") → text5
25. TableText({{LaTeX[(((((((((("\textcolor{#000099}{\frac{" * num) * "}{") * denom) * "}x ") * operation3) * " ") * simple) * "=") * equals) * "}")], LaTeX["\text{Equation from the previous step}"]}}, "l") → text12
26. TableText({{LaTeX[(((((("\textcolor{#000099}{\frac{" * num) * "}{") * denom) * "}x =") * newEquals) * "}")], LaTeX["\text{Equation from the previous step}"]}}, "l") → text16
27. LaTeX("\text{Move the slider to solve the problem.}") → text0
28. LaTeX((((((((("\text{By multiplying both sides of the equation by }\textcolor{#000099}{\frac{" * denom) * "}{") * num) * "}}\text{ (the reciprocal of }\textcolor{#000099}{\frac{") * num) * "}{") * denom) * "}}\text{), both sides}\cr\text{of the equation will remain equal, but the }\textcolor{#000099}{x}\text{ will be isolated.}")) → text15