根據老師指示，構作以下的圖形。[br]Construct the following figures according to the teacher's instruction.

利用已構作的立體圖形，探究正方體有甚麼形狀的截面。[br]Investigate the possible shapes of the sections of a cube with the figures you constructed.[br][br](a) 正方體能否有不等邊三角形的截面？如有，將有不等邊三角形截面的圖形以"3[color=#0000ff][color=#000000]_[/color][i][color=#ff0000]yourname[/color][/i][color=#000000](scalene).ggb" 的檔案名稱儲存，其中 [color=#ff0000][i]yourname[/i] [color=#000000]是你的英文名字，然後連本節同其他課業的答案以標題 "[b]Lesson 3 Assignment[/b]" 電郵至 [b]geogebra.hk@gmail.com[/b][/color][/color]。[br][/color][/color]Can the cube have a section in the shape of a scalene triangle? If yes, save your figure with a scalene triangle section in the file name "3[color=#000000]_[/color][i][color=#ff0000]yourname[/color][/i][color=#000000](scalene).ggb", where [/color][color=#ff0000][i]yourname[/i][/color][color=#000000]is your name in English.[br][/color][color=#000000][color=#0000ff][br][/color](b) 正方體能否有等腰三角形的截面？如有，將有等腰三角形截面的圖形以"3[color=#000000]_[/color][i][color=#ff0000]yourname[/color][/i][color=#000000](isosceles).ggb" 的檔案名稱儲存[/color][color=#000000]，[color=#ff0000][color=#000000]然後連本節同其他課業的答案以標題 "[b]Lesson 3 Assignment[/b]" 電郵至 [b]geogebra.hk@gmail.com[/b][/color][/color]。[/color][color=#0000ff][br][/color]Can the cube have a section in the shape of an isosceles triangle? If yes, save your figure with an isosceles triangle section in the file name "3_[/color][i][color=#ff0000]yourname[/color][/i][color=#000000](isosceles).ggb".[/color][color=#000000](c) 正方體能否有等邊三角形的截面？如有，將有等邊三角形截面的圖形以"3[color=#0000ff][color=#000000]_[/color][i][color=#ff0000]yourname[/color][/i][color=#000000](isosceles).ggb" 的檔案名稱儲存，[color=#ff0000][color=#000000]然後連本節同其他課業的答案以標題 "[b]Lesson 3 Assignment[/b]" 電郵至 [b]geogebra.hk@gmail.com[/b][/color][/color]。[/color][/color][color=#0000ff][br][/color]Can the cube have a section in the shape of an equilateral triangle? If yes, save your figure with an equilateral triangle section in the file name "3[/color][color=#0000ff][color=#000000]_[i][color=#ff0000]yourname[/color][/i](equilateral).ggb".[br][br][/color][/color][color=#000000](d) 正方體能否有長方形、菱形、平行四邊形或梯形的截面？如有，將有相關形狀截面的圖形以"3[/color][color=#000000]_[/color][i][color=#ff0000]yourname[/color][/i][color=#000000]([/color][i]shape[/i][color=#000000])[/color][color=#000000].ggb" 的檔案名稱儲存，其中 [/color][i][color=#0000ff]shape [/color][/i][color=#000000]是 "rectangle", "rhombus", "parallelogram" 或 "trapezium"，然後連本節同其他課業的答案以標題 "[/color][b]Lesson 3 Assignment[/b][color=#000000]" 電郵至 [/color][b]geogebra.hk@gmail.com[/b][color=#000000]。[/color][color=#000000][color=#0000ff][br][/color]Can the cube have a section in the shape of a rectangle, a rhombus, a parallelogram or a trapezium? If yes, save your figure with the shape in the file name "3.2[/color][color=#000000]_[/color][i][color=#ff0000]yourname[/color][/i][color=#000000]([/color][i]shape[/i][color=#000000])[/color][color=#000000].ggb" where [/color][i]"[i][color=#0000ff]shape[/color][/i]"[/i][color=#000000] is either "rectangle", "rhombus", "parallelogram" or "trapezium".[/color](e) [color=#000000]正方體能否有五邊形或六邊形的截面？如有，將有相關形狀截面的圖形以"3[/color][color=#000000]_[/color][i][color=#ff0000]yourname[/color][/i]([i][color=#0000ff]shape[/color][/i])[color=#000000].ggb" 的檔案名稱儲存，其中 [/color][i][color=#0000ff]shape [/color][/i][color=#000000]是 "pentagon" 或 "hexagon"，然後連本節同其他課業的答案以標題 "[/color][b]Lesson 3 Assignment[/b][color=#000000]" 電郵至 [/color][b]geogebra.hk@gmail.com[/b]。[br][color=#000000]Can the cube have a section in the shape of a pentagon (五邊形) a hexagon (六邊形)? If yes, save your figure with the shape in the file name "3.2[/color][color=#0000ff][color=#000000]_[/color][i][color=#ff0000]yourname[/color][/i][color=#000000]([/color][i]shape[/i][color=#000000]).ggb" where [/color][i]"[i]shape[/i]"[/i][color=#000000] is either "pentagon" or "hexagon".[/color][/color]