# 3D-figures.pdf

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## Geometric Shapes

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中三數學教學筆記  Chapter 03 Investigation of 3-dimensional Figures ( 立體圖形的探究 )    數學新里程      第二版   Section Topic Teaching Notes Classwork or Homework 3.1 3-dimensional Figures Construction -Students should be able to use the techniques learnt in Design and Technology to construct figures of (a) orthographic projection  ( 正投影法 ) in First Angle Projection (    第一  角投影法 ) including  front view  ( 正視圖 ),  side view  (   側視圖 ), and top view  (   俯視圖 ) on a quad paper   ( 方格紙 ), (b) 3-dimensional figures on a isometric graph / grid paper   ( 等距方格／等角投影紙 ) *(c) oblique projection  ( 斜角投影圖 ) on a oblique graph paper   ( 斜角投   影紙 ). Ex.3A Q.1-2 Ex.3A Q.3-4 3.2 Properties between Lines and Planes of a Solid - Students should be able to label the  projection  (  投影 )of points and lines on a plane. - Students should be able to identify lines which is normal   ( 垂直 ) to a plane.- Students should be able to identify the angle between a line and a plane. - Students should be able to identify the angle between 2 planes. Ex.3B Q.1 Ex.3B Q.2 Ex.3B Q.3 Ex.3B Q.8 3.3 Symmetric Properties of Solid - Students should be able to identify the reflectional symmetric property  (   反  射對稱 ) of a solid and label the  plane of reflection  (   反射面 ). - Students should be able to label the 9 planes of reflection of a cube. - Students should be able to label the 6 planes of reflection of a tetrahedron. - Students should be able to identify the rotational symmetric property  ( 旋轉對稱 ) of a solid and label the axis of rotation  ( 旋轉軸 ) as well as the degree of rotational symmetric (    重旋轉對稱／折式旋轉對稱 ). - Students should be able to label the 13 axes of rotation of a cube. - Students should be able to label the 7 axes of rotation of a tetrahedron. Ex.3C Q.1-2 Appendix Appendix Ex.3C Q.1-2 Appendix Appendix  Section Topic Teaching Notes Classwork or Homework 3.4 Folding paper - Students should be able to choose the correct folding paperfor the required solid. -Students should be able to identify and name the solid formed from a given folding paper. Ex.3C Q.3-4 Ex.3C Q.8, 12  Note: 1. In Technical Drawing, there are First Angle Projection and Third Angle Projection Drawing. First Angle Projection Drawing is used in China and Britain. 2. In the Second Edition, oblique projection has been deleted. 3. Names of some common solids:   柏拉圖立體  Platonic solids  錐體   pyramid 柱體   prism 正三角錐體  tetrahedron 四角錐體   pyramid with square base    圓柱體  cylinder 正立方體  cube    圓錐體  cone 長立方體  cuboid 正八面體  octahedron 正十二面體  dodecahedron 正二十面體  icosahedron  Appendix: 1. 9 reflectional symmetric planes of cube 2. 6 reflectional symmetric planes of tetrahedron  3. 13 axes of rotation of cube
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