课程： 5.10 作为坐标板上的距离的绝对值-interactive

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坐标平面上的距离绝对值

Maps Part 2
::地图第2部分

In , you saw that GPS and mapping systems use latitude and longitude as a coordinate plane to determine the distance between two locations. Through this interactive, you will practice finding the distance between two points on a coordinate plane with locations on a map.
::在其中,您看到全球定位系统和绘图系统使用纬度和经度作为坐标平面来确定两个地点之间的距离。通过这种互动,您将练习在坐标平面上找到两个点与地图上的位置之间的距离。

INTERACTIVE

Latitude and Longitude

Choose two cities on the US map and calculate the distance between them using the latitude/longitude lines on the map!
::选择美国地图上的两个城市, 并使用地图上的纬度/ 纬度线计算它们之间的距离 !

Click the buttons corresponding to each city.
::单击与每个城市相对应的按钮。

Type in the answer in the input box and hit enter to submit.
::键入输入框中的回答并点击条目以提交。

Discussion Questions:
::讨论问题:

How would you find the distance between San Francisco, CA and Denver, CO?
::你怎么会发现旧金山加州和丹佛之间的距离 CO?

When finding the difference between the latitude of San Francisco, CA and Denver, CO does it matter if you subtract San Francisco’s latitude from Denver’s latitude or Denver’s latitude from San Francisco’s?
::当发现旧金山、加州和丹佛的纬度差异时,如果把旧金山的纬度从丹佛的纬度或丹佛的纬度从旧金山的纬度中减去,CO是否重要?

Write an algorithm to find the distance between any two cities on the same longitude or latitude line.
::写一个算法,以找到两个城市在相同的经度或纬度线上的距离。

Distance to the Axes
::距离到轴轴的距离

In the interactive below, you will look at how far away different points on the coordinate plane are from the $\begin{aligned} x - \end{aligned}$ and $\begin{aligned} y - \end{aligned}$ axes.
::在下文互动中,您将查看坐标平面上与x-和y-axes之间的不同点有多远。

INTERACTIVE

Distance to the Axes

Click on the red points to see how far each are from the $x-$ and $y-$ axes.
::点击红色点以查看每个点距离 x 和 y 轴有多远。

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oints-in-the-coordinate-plane&mode=lite" test-id="5f45a43fd26908861cb75a36">

Absolute Value on the Coordinate Plane
::坐标平面上的绝对值

For this interactive, you will practice both identifying points on a coordinate plane by their coordinates and calculating the distance between them.
::对于这种互动,你既要用坐标识别协调飞机上的点数,也要计算它们之间的距离。

INTERACTIVE

Distance on the Plane

Graph 6 points: $A (2\frac{1}{2}, 2.5),~B (\frac{1}{4}, 2.5),~C (-1\frac{1}{4}, 0.75), ~D (\frac{1}{4}, 0.75),$
$~E (2\frac{1}{2}, 0.75),$ $~F (-1\frac{1}{4}, 2.5)$ by clicking on their locations on the graph.
::图6点:A(212,2.5)、B(14,2.5)、C(-114,0.75)、D(14,0.75)、E(212,0.75)、F(-114,2.5),点击图上他们的位置。

Enter the distances between pairs of points as decimals.
::将两点之间的距离作为小数输入。

oints-in-the-coordinate-plane" quiz-url="https://www.ck12.org/assessment/ui/embed.html?test/view/5f45a4464dd18be7e8ec8f8d&collectionHandle=algebra&collectionCreatorID=3&conceptCollectionHandle=algebra-:

oints-in-the-coordinate-plane&mode=lite" test-id="5f45a4464dd18be7e8ec8f8d">

Making a Robot Part 8
::制作机器人第8部分

The final command that you will need to modify for your robot is the total() command which tells us the number of steps taken. Already, your robot understands the commands below to work in two dimensions :
::您需要为您的机器人修改的最后命令是总计() 命令, 该命令告诉我们所采取步骤的数量。您的机器人已经理解下面的命令可以在两个维度上工作 :

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。

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。

location() - This command returns two values, telling you the current $\begin{aligned} x - \end{aligned}$ location and $\begin{aligned} y - \end{aligned}$ 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。

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 。

The next command that you need to program is total() which will return the total number of steps taken by the robot in any direction.
::您需要编程的下一个命令是总计 () , 这将返回机器人在任何方向采取的步骤的总数。

Using the next interactive, you will move a robot around the coordinate plane and use its location in coordinates to determine how to move it back to the start.
::使用下一次互动,您会将一个机器人移动到坐标平面周围, 并使用它的位置在坐标上, 来决定如何将它重新移动到开始位置。

INTERACTIVE

Making a Robot pt 8

Drag the slider to set a number of steps.
::拖动滑块以设置若干步骤。

Press the buttons to execute the commands.
::按下按钮执行命令。

oints-in-the-coordinate-plane" quiz-url="https://www.ck12.org/assessment/ui/embed.html?test/view/5f45a44c978ee565e53beb2f&collectionHandle=algebra&collectionCreatorID=3&conceptCollectionHandle=algebra-:

oints-in-the-coordinate-plane&mode=lite" test-id="5f45a44c978ee565e53beb2f">

Discussion Question
::讨论问题

The next step is to build the a function which will return the number of steps taken by the robot. What would this function look like in two dimensions? How would the function return the number of steps taken bot horizontally and vertically ?
::下一步是构建一个函数, 该函数将返回机器人所采取步骤的数量。这个函数在两个维度中会是什么样子? 该函数将如何返回以水平和垂直方式采取的机器人步骤的数量 ?

Summary

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。

To find the distance between two points with the same y-coordinate (a,b) and (c,d) use one of the following expressions: $\begin{aligned} | a | + | c |, | c - a |, | c | + | a |, | a - c | \end{aligned}$
::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:

To find the distance between two points with the same x-coordinate (a,b) and (a,c) use one of the following expressions: $\begin{aligned} | b | + | c |, | c - b |, | c | + | b |, | b - c | \end{aligned}$
::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:

章节大纲

常规

坐标平面上的距离绝对值

Maps Part 2 ::地图第2部分

Distance to the Axes ::距离到轴轴的距离

Absolute Value on the Coordinate Plane ::坐标平面上的绝对值

Making a Robot Part 8 ::制作机器人第8部分

Maps Part 2
::地图第2部分

Distance to the Axes
::距离到轴轴的距离

Absolute Value on the Coordinate Plane
::坐标平面上的绝对值

Making a Robot Part 8
::制作机器人第8部分