树木生长模拟

GeoGebra 命令及参数

1. LaTeX("\text{Identify the known quantities.}") → text2
2. LaTeX("\text{Identify the unknown quantity or variable.}") → text2_4
3. LaTeX("\text{Create expressions and equations from the known quantities and variable\textcolor{#000099}{(s)}.}") → text2_6
4. LaTeX("\text{\textcolor{#000099}{b = 2 }") → text2_9
5. LaTeX("\text{final value.}") → text2_{14}
6. LaTeX("\text{\textcolor{#000099}{y = ab^t}") → text2_{16}
7. LaTeX("\text{Another way to determine the time period is to set up a ratio.}") → text2_{18}
8. LaTeX("\text{There are \textcolor{#000099}{5} time periods in \textcolor{#000099}{20\; years} since each time period is \textcolor{#000099}{4\; years}.}") → text2_{11}
9. LaTeX("\text{Follow the order of operations to solve the problem.}") → text2_{19}
10. LaTeX("\text{Equation from the previous step }") → text2_{23}
11. LaTeX("\text{Raise \textcolor{#000099}{2} to the fifth power. }") → text2_{24}
12. LaTeX("\text{Interpret the solution in terms of the context of the problem.}") → text2_{26}
13. LaTeX((("\text{\textcolor{#000099}{y = " * var1) * "\; •\; 2^5}")) → text2_{20}
14. LaTeX((("\text{\textcolor{#000099}{y =" * var1) * "\;• \;32}")) → text2_{21}
15. LaTeX((("\text{Multiply \textcolor{#000099}{" * var1) * "} and \textcolor{#000099}{32}. }")) → text2_{25}
16. LaTeX((("\text{\textcolor{#000099}{a =" * var1) * "}")) → text2_8
17. LaTeX((("\text{The initial height of the tree=\textcolor{#000099}{" * var1) * "\; feet.} }")) → text2_1
18. LaTeX((("\text{\textcolor{#000099}{y = " * var2) * "}")) → text2_{22}
19. LaTeX("\text{for the base to repeat.}") → text4_3
20. LaTeX((("\text{\textcolor{#000099}{y = (" * var1) * ")\; •\; (2)^5}")) → text2_{17}
21. LaTeX("\text{\textcolor{#000099}{x=}every \textcolor{#000099}{4 \;years} for \textcolor{#000099}{20\; years}}") → text2_{10}
22. LaTeX("\text{\textcolor{#000099}{20\; years\;•\frac{1\;time\;period}{4\;years}=5\;time \;periods} }") → text2_{12}
23. LaTeX("\text{The amount of time=every \textcolor{#000099}{4\; years} for \textcolor{#000099}{20\; years}.}") → text2_3
24. LaTeX("\text{Write an exponential equation of the general form \textcolor{#000099}{y=ab^t} and solve the problem.}") → text1_1
25. LaTeX((("\text{The tree's initial height is \textcolor{#000099}{" * var1) * " \;feet} and its height doubles every \textcolor{#000099}{4\; years}. How tall will it be in \textcolor{#000099}{20\; years}? }")) → text1
26. LaTeX("\text{The growth rate=doubles, so that means \textcolor{#000099}{2}.}") → text2_2
27. LaTeX("\text{The unknown quantity is the height of the tree after \textcolor{#000099}{20\; years}. Solve for the final height after \textcolor{#000099}{20\; years}.}") → text2_5
28. LaTeX("\text{The general form of an exponential equation is \textcolor{#000099}{y = ab^t}, where \textcolor{#000099}{a} is the initial value, \textcolor{#000099}{b} is the base, \textcolor{#000099}{t} is the time, and \textcolor{#000099}{y} is the }") → text2_7
29. LaTeX("\text{Therefore, \textcolor{#000099}{ x = 5. }") → text2_{13}
30. LaTeX("\text{Substitute the values into the general exponential formula, \textcolor{#000099}{y = ab^t.}}") → text2_{15}
31. LaTeX((("\text{In \textcolor{#000099}{20 \;years}, the tree will be \textcolor{#000099}{" * var2) * "\; feet} tall if its height doubles every \textcolor{#000099}{4\; years}.}")) → text2_{27}
32. LaTeX("\text{\mathbf{exponential\; equation} an equation that has a variable in the exponent; the general }") → text4
33. LaTeX("\text{form is y=a • b^x, where a is the initial value, b is the base, x is the time, and }") → text4_1
34. LaTeX("\text{y is the final output value. Another form is y=ab , where t is the time it takes}") → text4_2
35. LaTeX((("\text{Tree's initial height=" * var1) * " feet}")) → text3