章节大纲

  • 常规

    全部折叠 展开全部

  • 旋转的属性

    Using Rotations to Make Visuals
    ::使用轮换制视觉

    You've explored how graphic designers use rigid motion. Along with translation and reflection , rotation is another one of the key principles of graphic design. A creative graphic designer can use rotations to create anything from simple logo designs to intricate background patterns. Below are some examples of how graphic designers incorporate rotations into visuals.
    ::您已经探索了图形设计师如何使用僵硬的动作。 与翻译和反射一起, 旋转是图形设计的另一个关键原则。 创造性的图形设计师可以使用旋转来创造从简单的标识设计到复杂的背景模式等任何东西。 下面是图形设计师如何将旋转纳入视觉的一些例子 。

    lesson content

    Matching Sides and Angles
    ::匹配边和角

    Similar to reflections , rotations can  make it difficult to identify corresponding sides and .   Corresponding sides  are matching sides in two different shapes.   When dealing with rigid motions, think of corresponding sides as a side on the original shape and the same side on the   translated,   reflected, or rotated   shape . Like corresponding sides,   corresponding angles  are matching angles in two different shapes.
    ::和反射相似, 旋转会很难识别对应的边和 。 对应的边以两种不同的形状对齐。 当处理僵硬的动作时, 将对应的边想象成原始形状的一边, 翻译、 反射或旋转形状的一边 。 和对应的边一样, 对应的角以两种不同的形状对齐角度 。

    The green polygon below represents the lavender polygon after a rotation. Use the interactive below to match corresponding sides and corresponding angles. Look for the 'thumbs-up' banner to verify when the corresponding sides and angles have all been correctly labeled.
    ::下面的绿色多边形代表旋转后的紫外线多边形。 使用下面的交互作用来匹配相应的边和相应的角度。 查找“ thumbs- up” 横幅, 以校验对应的边和角度何时都贴对了标签 。

    INTERACTIVE
    Matching Sides and Angles
    minimize icon
    • These two polygons are congruent and have been rotated.
      ::这两个多边形是相同的,已经旋转。
    • Drag the sides and angles to the corresponding areas in the polygon on the right.
      ::将边和角度拖到右侧多边形的相应区域。
    Your device seems to be offline.
    Please check your internet connection and try again.
    +
    Do you want to reset the PLIX?
    Yes
    No

    For additional practice, answer the questions in the interactive below:
    ::关于其他实践,请回答以下互动问答中的问题:

    INTERACTIVE
    Rotation Matching Game
    minimize icon
    • Click the corresponding angle or side on the blue polygon.
      ::单击蓝色多边形上的对应角度或侧面。
    • If you're right, the side or angle will turn green.
      ::如果你是对的, 侧面或角度会变成绿色。
    • Remember that Vertices are alphabetical. This means that vertex A corresponds to Q, vertex B corresponds to R, and so on.
      ::记住顶点是按字母顺序排列的。 这意味着顶点 A 对应 Q, 顶点 B 对应 R 等 。
    Your device seems to be offline.
    Please check your internet connection and try again.
    +
    Do you want to reset the PLIX?
    Yes
    No

    Rotation Investigation
    ::轮调调查

    You've learned that rotations turn an image around a center of rotation . The center of rotation is the point about which an image is rotated. Every point of the rotated image remains the same distance from the center of rotation as it started. How can  you be sure that the size or shape of the image hasn't been changed?
    ::您已经知道旋转会将图像围绕旋转中心旋转。 旋转中心是图像旋转的点。 旋转图像的每个点与旋转中心开始的距离相同。 您如何确定图像的大小或形状没有改变 ?

    Use the interactive below to examine whether the corresponding side lengths and angles of both shapes are equal.
    ::使用下面的交互效果来检查两种形状的相应侧边长度和角度是否相等。

    INTERACTIVE
    Properties of Rotations
    minimize icon
    • Use the slider to rotate the orange trapezoid. 
      ::使用滑动器旋转橙色类。
    • Click the buttons to switch between a ruler and a protractor.
      ::单击按钮可在标尺和减速器之间切换。
    • Try and find corresponding angles and sides between the two trapezoids.
      ::尝试在两个网格类体之间找到相应的角度和边。
    Your device seems to be offline.
    Please check your internet connection and try again.
    +
    Do you want to reset the PLIX?
    Yes
    No

    The 900 in 1999
    ::1999年的900, 1999年的900

    Thinking back to the previous interactive, what happens when you rotate a shape 180-degrees clockwise as opposed to rotating 180-degrees counterclockwise? You end up in the same place! This is called an equivalent rotation. Equivalent rotations are different rotations that end up in the same place. Equivalent rotations can come from either rotating the opposite way or completing more than one rotation. So far we have only focused on rotations less than 360-degrees, but it is possible to rotate more than 360-degrees. This is seen all the time in extreme sports. For example, i n skateboarding or snowboarding, every spin adds 180-degrees to the name of the trick. Tony Hawk famously became the first to lan d the 900, which is two and a half full spins, at the 1999  Summer X G ames . Currently, the most spins ever in one trick happened in snowboarding and the trick is called a 1980, because that's how many degrees the snowboarder rotated. How many spins would a snowboarder have to complete to land a 1980?
    ::回想上一个互动时, 当您旋转一个形状 180 度时钟顺时钟, 而不是旋转 180 度逆时钟时会发生什么? 您最终会在同一位置进行 。 这被称为相同的旋转 。 等值旋转是不同的旋转, 最终在同一位置进行。 等值旋转可以来自相反的旋转或者完成一个以上的旋转。 目前, 等值旋转只能来自低于 360 度的旋转, 但是我们只关注于 360 度的旋转, 但它可能超过 360 度的旋转 。 这在极端的运动中都可以看到 。 例如, 滑板或滑雪板, 每个旋转都会在游戏名称上增加 180 度 。 托尼· 霍克在1999 夏季 X 运动会上成为第一个降落900 , 也就是两个半整旋转。 目前, 滑雪板上一个小把戏中最大的旋转是 1980 , 因为滑雪板人旋转了多少度 。 有多少个螺旋, 一个滑雪板人要完成1980 1980 ?

    Use the interactive below to try to figure out if two rotations are equivalent . C an you answer all nine questions correctly?
    ::使用下面的交互效果来尝试确定两个旋转是否相等。 您能否正确回答所有九个问题 ?

    INTERACTIVE
    Rotation Matching Game
    minimize icon
    • Drag the equivalent angle into the dotted box. If the box turns green, you got it right!
      ::将等效角度拖到点形框中。 如果盒子变成绿色, 您就会正确 !
    • Pay attention to the rotations of each angle. If you are having trouble, use the diagram at the top to help you.
      ::注意每个角度的旋转。 如果您遇到问题, 请使用顶部的图表来帮助您 。
    Your device seems to be offline.
    Please check your internet connection and try again.
    +
    Do you want to reset the PLIX?
    Yes
    No

    Twisting Your Words
    ::将文字转换为文字

    Earlier, you heard how graphic designers use modern computer software to rotate pictures, shapes, and text. If you have ever used a basic drawing tool or a photo editor, you have likely noticed that shapes and images have a rotate option similar to the one in the interactive below. Graphic designers can use this to quickly rotate shapes to create eye-catching visuals. While  shapes and images  are easy to rotate, it is often more of a challenge to rotate text. While some programs allow you to rotate text boxes like  you did the pictures, some require you to enter an angle of rotation.
    ::早些时候, 您会听到图形设计师如何使用现代计算机软件来旋转图片、 形状和文本。 如果您曾经使用过基本的绘图工具或图片编辑器, 您可能会注意到形状和图像的旋转选项与下面的互动选项相似。 图形设计师可以使用此选项快速旋转形状来创建可视化视觉。 虽然形状和图像很容易旋转, 旋转文本往往比较困难。 有些程序允许您旋转像您所做的图片那样的文本框, 有些程序需要您进入旋转角度 。

    lesson content

    In logo design, words often need to be curved around a circular design. This can be done by either carefully rotating each letter by hand or by using an algorithm provided by the computer software.
    ::在设计标识时,往往需要用圆形设计来缩写文字,这可以通过手工仔细旋转每个字母或使用计算机软件提供的算法来实现。

    lesson content
    Computers can be used to easily type text in a circle.

    Below, you are going to use what  you've  learned to create a visual using rotations. Use the interactive to make a visual which is designed to either raise awareness for a cause or to promote an event. 
    ::在下面, 您将使用您所学到的 来使用旋转来创建视觉 。 使用交互式来制作视觉, 用来提高对某一事业的认识 或者宣传某一事件 。

    INTERACTIVE
    Modern Program
    minimize icon
    • Use the buttons to reveal pictures.
      ::使用按钮显示图片 。
    • Move the blue points to rotate the images to make a cool scene!
      ::移动蓝色点以旋转图像, 使场景变得很酷 !
    Your device seems to be offline.
    Please check your internet connection and try again.
    +
    Do you want to reset the PLIX?
    Yes
    No

        Summary
    ::摘要

    • The center of rotation is the point about which an image is rotated.
      ::旋转中心是图像旋转的点 。
    • Because rotation is a rigid motion, the size and shape of an image is unchanged by rotating it.
      ::因为旋转是一个僵硬的动作, 图像的大小和形状通过旋转而保持不变。
    • A rotation requires a center of rotation, and a specified number of degrees to rotate in a given direction.
      ::旋转需要一个旋转中心, 以及一定数量的度, 才能在指定方向旋转 。
    • Unless otherwise specified, rotations occur in the  counterclockwise direction.
      ::除非另有说明,轮调在逆时针方向进行。