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矩形周长与面积计算示例 by Walch Education

矩形周长与面积计算示例 by Walch Education
几何画板及绘图内容加载中，请稍等……
2015-07-09 20:41
几何作图
所属专题 CCSS Support Algebra I Unit 1 CCSS Support Math I Unit 1
本范例演示如何计算长方形的长度和宽度为7厘米和6厘米时的周长和面积。涉及的核心数学概念包括矩形面积公式和周长公式。作图要点包括使用GeoGebra命令如Corner、TableText、length、width、area和perimeter来构造图形并计算结果。适合初中数学学习，用于理解基本几何计算和图形属性。

GeoGebra 命令及参数

  1. LaTeX(steps) → counter
  2. LaTeX("\text{Use the buttons below to return to the original problem or}\cr\text{randomly generate a similar practice problem.}") → RandomizationText
  3. Corner(1) → A
  4. Corner(3) → B
  5. LaTeX((((("\text{length of }\textcolor{#000099}{" * length) * "\text{ centimeters}}\text{; width of }\textcolor{#000099}{") * width) * "\text{ centimeters}}")) → Problem
  6. LaTeX("\text{State the expressions used to find the perimeter and area of a rectangle.}") → text1
  7. LaTeX("\text{The perimeter of a rectangle is found using the expression }\textcolor{#000099}{2L + 2W}.") → text2
  8. LaTeX("\text{The area of a rectangle is found using the expression }\textcolor{#000099}{LW}.") → text3
  9. LaTeX((((("\text{Evaluate the expression for perimeter using }\textcolor{#000099}{L = " * length) * "}\text{ and }\textcolor{#000099}{W = ") * width) * "}.")) → text4
  10. LaTeX((("\text{The perimeter of the rectangle is }\textcolor{#000099}{" * perimeter) * "\text{ centimeters}}.")) → text10
  11. LaTeX((((("\text{Evaluate the expression for area using }\textcolor{#000099}{L = " * length) * "}\text{ and }\textcolor{#000099}{W = ") * width) * "}.")) → text11
  12. LaTeX("\text{Substitute the value of each variable into the expression. }\cr\text{Then, simplify the expression using the order of operations.}") → text5
  13. TableText({{LaTeX["\textcolor{#000099}{2L + 2W}"], LaTeX["\text{Expression representing perimeter}"]}}, "l") → text6
  14. LaTeX("\text{Substitute the value of each variable into the expression. }\cr\text{Then, simplify the expression using the order of operations.}") → text12
  15. TableText({{LaTeX["\textcolor{#000099}{LW}"], LaTeX["\text{Expression representing area}"]}}, "l") → text13
  16. TableText({{LaTeX["\textcolor{#000099}{LW}"], LaTeX["\text{Expression representing area}"]}, {LaTeX[(((("\text{= }\textcolor{#000099}{(" * length) * ")(") * width) * ")}")], LaTeX[(((("\text{Substitute }\textcolor{#000099}{" * length) * "}\text{ for }\textcolor{#000099}{L}\text{ and }\textcolor{#000099}{") * width) * "}\text{ for }\textcolor{#000099}{W}.")]}}, "l") → text14
  17. TableText({{LaTeX["\textcolor{#000099}{2L + 2W}"], LaTeX["\text{Expression representing perimeter}"]}, {LaTeX[(((("\text{= }\textcolor{#000099}{2(" * length) * ") + 2(") * width) * ")}")], LaTeX[(((("\text{Substitute }\textcolor{#000099}{" * length) * "}\text{ for }\textcolor{#000099}{L}\text{ and }\textcolor{#000099}{") * width) * "}\text{ for }\textcolor{#000099}{W}.")]}}, "l") → text7
  18. TableText({{LaTeX["\textcolor{#000099}{2L + 2W}"], LaTeX["\text{Expression representing perimeter}"]}, {LaTeX[(((("\text{= }\textcolor{#000099}{2(" * length) * ") + 2(") * width) * ")}")], LaTeX[(((("\text{Substitute }\textcolor{#000099}{" * length) * "}\text{ for }\textcolor{#000099}{L}\text{ and }\textcolor{#000099}{") * width) * "}\text{ for }\textcolor{#000099}{W}.")]}, {LaTeX[(((("\text{= }\textcolor{#000099}{" * twoL) * " + ") * twoW) * "}")], LaTeX["\text{Multiply.}"]}}, "l") → text8
  19. TableText({{LaTeX["\textcolor{#000099}{2L + 2W}"], LaTeX["\text{Expression representing perimeter}"]}, {LaTeX[(((("\text{= }\textcolor{#000099}{2(" * length) * ") + 2(") * width) * ")}")], LaTeX[(((("\text{Substitute }\textcolor{#000099}{" * length) * "}\text{ for }\textcolor{#000099}{L}\text{ and }\textcolor{#000099}{") * width) * "}\text{ for }\textcolor{#000099}{W}.")]}, {LaTeX[(((("\text{= }\textcolor{#000099}{" * twoL) * " + ") * twoW) * "}")], LaTeX["\text{Multiply.}"]}, {LaTeX[(("\text{= }\textcolor{#000099}{" * perimeter) * "}")], LaTeX["\text{Add.}"]}}, "l") → text9
  20. LaTeX("\text{Move the slider to solve the problem.}") → text0
  21. TableText({{LaTeX["\textcolor{#000099}{LW}"], LaTeX["\text{Expression representing area}"]}, {LaTeX[(((("\text{= }\textcolor{#000099}{(" * length) * ")(") * width) * ")}")], LaTeX[(((("\text{Substitute }\textcolor{#000099}{" * length) * "}\text{ for }\textcolor{#000099}{L}\text{ and }\textcolor{#000099}{") * width) * "}\text{ for }\textcolor{#000099}{W}.")]}, {LaTeX[(("\text{= }\textcolor{#000099}{" * area) * "}")], LaTeX["\text{Multiply.}"]}}, "l") → text15
  22. LaTeX((((("\text{The area of the rectangle is }\textcolor{#000099}{" * area) * "\text{ square centimeters}}\text{ or }\textcolor{#000099}{") * area) * " \text{ cm^2}}.")) → text16