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  • General

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  • 跨科和净额

    Cross-Sections and Nets
    ::跨科和净额

    While our world is three dimensional , we are used to modeling and thinking about three dimensional objects on paper (in two dimensions). There are a few common ways to help think about three dimensions in two dimensions. One way to “view” a three-dimensional figure in a two-dimensional plane (like on a piece of paper or a computer screen) is to use cross-sections. Another way to “view” a three-dimensional figure in a two-dimensional plane is to use a .
    ::虽然我们的世界是三维的,但我们习惯于建模和思考纸面上的三维天体(以两个维为单位 ) 。 有几种共同的方法可以帮助思考两个维的三维。 在二维平面上“查看”一个三维的方形(如一张纸或电脑屏幕上)的一个方法就是使用截面。 在二维平面上“观察”一个三维的方形的另一个方法就是使用一个 。

    Cross-Section : The intersection of a plane with a solid.
    ::交叉部分:飞机与固体的交叉部分。

    The cross-section of the peach plane and the tetrahedron is a triangle .
    ::桃平面和四面形的横截面是一个三角形。

    Net: An unfolded, flat representation of the sides of a three-dimensional shape.
    ::网状:三维形状两侧的展开、平坦的表示面。

    It is good to be able to visualize cross sections and nets as the three dimensional objects they represent.
    ::能够直观地将横截截面和网作为它们所代表的三维物体是一件好事。

    What if you were given a three-dimensional figure like a pyramid and you wanted to know what that figure would look like in two dimensions? What would a flat slice or an unfolded flat representation of that solid look like?
    ::如果给了你一个像金字塔一样的三维数字,你想知道这个数字在两个维面上会是什么样子呢?一个平面的切片,或一个这种坚固的平面表示面的展开式的平面表示面会是什么样子?

    Examples
    ::实例

    Example 1
    ::例1

    Describe the cross section formed by the intersection of the plane and the solid.
    ::描述由平面和固体交点形成的交叉部分。

    Circle
    ::圆圆

    Example 2
    ::例2

    Determine what shape is formed by the following net.
    ::确定由以下净额构成的形状。

    Square-based pyramid
    ::平基平方金字塔

    Example 3
    ::例3

    What is the shape formed by the intersection of the plane and the regular octahedron?
    ::平面和正正八面体的交叉点所形成的形状是什么?

      Square
    ::广场广场

      Rhombus
    ::滚轮

      Hexagon
    ::六边形

    Example 4
    ::例4

    What kind of figure does this net create?
    ::这个网创建了什么样的数字 ?

    The net creates a rectangular prism .
    ::网造就了长方形棱镜

    Example 5
    ::例5

    Draw a net of the right triangular prism below.
    ::绘制下方右三角形棱镜的网格 。

    The net will have two triangles and three . The rectangles are different sizes and the two triangles are the same.
    ::网将有两个三角形和三个三角形。矩形大小不同,两个三角形相同。

    There are several different nets of any polyhedron . For example, this net could have the triangles anywhere along the top or bottom of the three rectangles.
    ::任何聚希德龙都有几种不同的网。例如,这个网可以在三个矩形的顶部或底部的任何地方有三角形。

    Review
    ::回顾

    Describe the cross section formed by the intersection of the plane and the solid.
    ::描述由平面和固体交点形成的交叉部分。

    Draw the net for the following solids.
    ::为下列固体绘制网。

    Determine what shape is formed by the following nets.
    ::确定由以下网构成的形状。

    Review (Answers)
    ::回顾(答复)

    Click to see the answer key or go to the Table of Contents and click on the Answer Key under the 'Other Versions' option.
    ::单击可查看答题键, 或转到目录中, 单击“ 其他版本” 选项下的答题键 。