13米梯子几何问题

GeoGebra 命令及参数

1. Segment((0, 0), (0, 1)) → i
2. Segment(A_0, B_0) → Scaleline
3. Sequence(Segment[A_0 + (i, 0), A_0 + (i, (-0.5))], i, 0, 10) → list1
4. Sequence(Segment[A_0 + (i - 0.5, 0), A_0 + (i - 0.5, (-0.4))], i, 1, 10) → list2
5. Sequence(Sequence[Segment[A_0 + ((0.5 * i) + (0.1 * j), 0), A_0 + ((0.5 * i) + (0.1 * j), (-0.3))], j, 1, 4], i, 0, 19) → list3
6. LaTeX("\text{0}") → Scalevalue0
7. LaTeX("\text{1}") → Scalevalue1
8. LaTeX("\text{2}") → Scalevalue2
9. LaTeX("\text{3}") → Scalevalue3
10. LaTeX("\text{4}") → Scalevalue4
11. LaTeX("\text{5}") → Scalevalue5
12. LaTeX("\text{6}") → Scalevalue6
13. LaTeX("\text{7}") → Scalevalue7
14. LaTeX("\text{8}") → Scalevalue8
15. LaTeX("\text{9}") → Scalevalue9
16. LaTeX("\text{10}") → Scalevalue10
17. Segment(D_0, (x(D_0), 0)) → j
18. Vector(C_0, D_0) → u
19. LaTeX("\text{the ladder reach?}") → text3
20. LaTeX("\text{Simplify the expression under the radical symbol.}") → text4
21. LaTeX((("\text{\textcolor{#000099}{=" * sub1) * "}")) → text9
22. LaTeX("\text{Find the square root of the simplified expression.}") → text11
23. LaTeX("\text{Expression under the radical symbol}") → text17
24. LaTeX("\text{Subtract.}") → text20
25. LaTeX((("\text{Simplify \textcolor{#000099}{" * value1) * "²}.}")) → text18
26. LaTeX((("\text{Simplify \textcolor{#000099}{" * value2) * "²}.}")) → text19
27. LaTeX((((("\text{\textcolor{#000099}{" * value1) * "²-") * value2) * "²}")) → text6
28. LaTeX((((("\text{\textcolor{#000099}{=" * sqr1) * "-") * value2) * "²}")) → text7
29. LaTeX((((("\text{\textcolor{#000099}{=" * sqr1) * "-") * sqr2) * "}")) → text8
30. LaTeX((((((("\text{The expression \textcolor{#000099}{" * value1) * "² - ") * value2) * "²} simplifies to \textcolor{#000099}{") * sub1) * "}.}")) → text10
31. LaTeX((((("\text{A \textcolor{#000099}{" * value1) * "}-\textcolor{#000099}{foot} ladder leans against the side of a building. The base of the ladder is \textcolor{#000099}{") * value2) * "\; feet} from the building.}")) → text1
32. LaTeX((((("\text{Risa calculates that the top of the ladder rests \textcolor{#000099}{\sqrt{" * value1) * "² −") * value2) * "²}} feet up the side of the building. How high does}")) → text2
33. LaTeX("\text{\mathbf{radical\;expression} an expression containing a root, such as \textcolor{#000099}{⁵\sqrt{9}}}") → WordsText
34. LaTeX((("\text{First value=" * value1) * "}")) → text14
35. LaTeX((("\text{Second value=" * value2) * "}")) → text15
36. LaTeX((((("\text{The expression under the radical symbol is \textcolor{#000099}{" * value1) * "² - ") * value2) * "²}. Follow the order of operations to simplify this expression.}")) → text5
37. If(sub1 ≟ 144, LaTeX[(((((((((((("\text{The simplified expression, \textcolor{#000099}{" * sub1) * "}, is a perfect square because \textcolor{#000099}{") * sqrt1) * " \;•\; ") * sqrt1) * " = ") * sub1) * "}. Therefore, \textcolor{#000099}{\sqrt{") * sub1) * "}=") * sqrt1) * "}.}")], LaTeX[(((((("\text{The simplified expression, \textcolor{#000099}{" * sub1) * "}, is not a perfect square. Therefore,\textcolor{#000099}{\sqrt{") * sub1) * "}=") * sqrt1) * "}.}")]) → text13
38. LaTeX((("\text{Therefore, the top of the ladder reaches \textcolor{#000099}{" * sqrt1) * "} feet up the side of the building.}")) → text12