5.11 协调计划中的绘图-interactive

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  坐标平面绘图

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  Coordinate Planes and Architecture
  ::协调规划和建筑

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  Coordinate planes can be a useful tool for architects. Blueprints are usually laid out on a coordinate grid to help identify angles and side lengths.
  ::坐标机可以成为建筑师的有用工具。 蓝图通常放在坐标网格上,以帮助识别角度和侧长。

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  For this interactive, you will use the distance between points on a coordinate plane to calculate the perimeter of a polygon.
  ::对于此互动, 您将使用坐标平面上的点数之间的距离来计算多边形的周界 。

   

   

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  Discussion Questions
  ::讨论问题 讨论问题

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  1. How can the perimeter of the figure on the coordinate plane be used to find the actual perimeter?
     ::如何利用坐标飞机上数字的周界寻找实际周界?
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  2. If one unit on the coordinate plane is 3½ feet, what is the actual perimeter of the figure?
     ::如果坐标飞机上的一个单位是31.5英尺,数字的实际周界是什么?
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  3. Did you use any tricks for finding the perimeter?  
     ::你有没有用任何把戏 找到周边?

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  Drawing in the Coordinate Plane
  ::坐标平面绘图

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  In the interactive below, you will drag points on a coordinate plane to create a shape that matches a given description.
  ::在下面的交互关系中,您将在坐标平面上拖动点,以创建符合给定描述的形状。

   

   

   

  oints-in-the-coordinate-plane" quiz-url="https://www.ck12.org/assessment/ui/embed.html?test/view/5f45a41464c12ec8494c8fc3&collectionHandle=algebra&collectionCreatorID=3&conceptCollectionHandle=algebra-:oints-in-the-coordinate-plane&mode=lite" test-id="5f45a41464c12ec8494c8fc3">

   

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  Discussion Questions
  ::讨论问题 讨论问题

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  1. What properties of a rectangle did you use to plot the rectangle? How did you use the coordinate plane to help create the shape?
     ::您用什么矩形属性来绘制矩形 ? 您如何使用坐标平面来帮助创建形状 ?
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  2. What properties of a square did you use to plot the square? How did you use the coordinate plane to help create the shape?
     ::您用什么方块属性来绘制方块 ? 您如何使用坐标平面来帮助创建形状 ?
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  3. How did you use the coordinate plane to help graph an isosceles triangle?
     ::你如何使用坐标平面 帮助绘制一个等分形三角形图?

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  Polygons in the Coordinate Plane
  ::坐标平面中的多边形

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  Using the next interactive, you will drag points to create a shape on a coordinate plane based on a given perimeter.
  ::使用下一次互动,您将拖动点在坐标平面上根据给定周边建立形状。

   

   

   

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  Making a Robot Part 9
  ::制作机器人第9部分

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  Now that  the robot you began programming in the lesson is complete,  you can move the robot through  a maze. The function moveTo(x,y) has been added to  the commands. You can use this command to move a robot straight to a certain location, which may come in handy if  you need to move diagonally. Enter the $\begin{array}{r}x-\end{array}$ coordinate for $\begin{array}{r}x\end{array}$   and   $\begin{array}{r}y-\end{array}$ coordinate for $\begin{array}{r}y\end{array}$  of the location where you want to go. If you enter moveTo(5,6), this will move the robot in a straight line to the point (5,6), relative to the original starting location.
  ::现在课程中开始编程的机器人已经完成, 您可以通过迷宫移动机器人。 函数移动To( x, y) 已被添加到命令中。 您可以使用此命令将机器人直接移动到某个位置, 如果您需要移动对角, 则可以使用此命令。 输入 x 和 Y 坐标的 x 和 y 坐标, 您想要移动的位置 。 如果您输入 To( 5, 6) , 这将将机器人直线移动到点( 5, 6 6 ) , 相对于初始启动位置 。

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  The list of all available commands is below:
  ::所有可用命令列表如下:

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  • stepsY - This command will move the robot n steps forward, or n steps backward. The command stepsY(4) will move the robot 4 steps forward, and the command stepsY(-2) will move the robot 2 steps backward.
    ::stepsY - 此命令将移动机器人 n 步向前, 或 n 步向后。 命令步骤Y(4) 将移动机器人 4 步向前, 命令步骤Y( 2) 将移动机器人 2 步向后。
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  • stepsX - This command will move the robot n steps right, or n steps left. The command stepsX(4) will move the robot 4 steps right and the command stepsX(-2) will move the robot 2 steps left.
    ::stepsX - 此命令将移动机器人 n 步向右, 或 n 步向左。 命令 stepsX(4) 将移动机器人 4 步向右, 命令 stepsX(-2) 将移动机器人 2 步向左 。
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  • location() - This command returns two values, telling you the current $\begin{array}{r}x-\end{array}$ location and $\begin{array}{r}y-\end{array}$ location of the robot.
    :) 位置 - 此命令返回两个值, 告诉您机器人的 x - 位置和 Y - 位置 。
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  • reset() - This command will move the robot to the starting position and will set the total number of steps taken to 0.
    ::重置 () - 此命令将把机器人移动到起始位置, 并将将所采取步骤的总数设置为 0 。
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  • total() - This command will return the total number of steps taken by the robot.
    ::总计 () - 此命令返回机器人所采取步骤的总数 。
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  • moveTo(x,y) - This command will move a robot to the $\begin{array}{r}x-\end{array}$ coordinate and $\begin{array}{r}y-\end{array}$ coordinate entered by the user.
    ::移动To(x,y) - - 此命令将把机器人移动到用户输入的 x - 坐标和 y - 坐标 。

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  For the following interactive, you will be using everything you know about locations and distances on the coordinate plane to navigate a robot through a maze.
  ::在接下来的交互式操作中, 你将使用你所知道的 坐标飞机上的位置和距离 来导航机器人穿过迷宫。

   

   

   

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  Science Connection
  ::科学连接

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  This Physics Simulation involves a very similar robot motion and location system to the one  designed  over multiple lessons in this series.
  ::这种物理模拟涉及一个非常相似的机器人运动和定位系统,与本系列多个课程上设计的系统非常相似。

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  See if you can identify the similarities and determine how the robot's programming might work.
  ::看看能不能找出相似之处 确定机器人的程序如何运作

   

  Summary

  播放段落 To find distance of a point on the coordinate plane find how far the point is away from the x-axis or y-axis ::要在坐标平面上找到点的距离, 找到点离 X 轴或 Y 轴有多远 播放段落 To find the distance between two points with the same y-coordinate (a,b) and (c,d) use one of the following expressions: $\begin{array}{r}|a|+|c|,|c-a|,|c|+|a|,|a-c|\end{array}$   ::要找到两点之间的距离,请使用以下表达式之一,用相同的坐标(a、b)和(c、d)来查找两点之间的距离: 播放段落 To find the distance between two points with the same x-coordinate (a,b) and (a,c) use one of the following expressions: $\begin{array}{r}|b|+|c|,|c-b|,|c|+|b|,|b-c|\end{array}$   ::要找到具有相同的x坐标(a、b)和(a、c)的两点之间的距离,请使用以下表达式之一: