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  • 四象限中的有序对

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    Liam has a crush on Lila. She's a little strange--she has an old school phone booth on her key chain and he suspects that the strange characters that she doodles on her notebook during history class might actually be elvish runes--but he likes her anyway. When Liam asks her to the Spring Fling, it doesn't really surprise him when she responds with a list of  coordinates : (-3,5), (3,5), (0,0), (0,-5). Still, he's left wondering whether that's a yes or a no, and he doesn't want to lose face by asking her. How can Liam figure out what this means?
    ::Lilan喜欢Lila。 她有点奇怪, 她的钥匙链上有个旧学校电话亭, 他怀疑她在历史课上在笔记本上涂抹的奇怪人物 可能是Elvish runes, 但他还是喜欢她。 当Liam邀请她去Spring Fling时, 当她给出一个坐标表来回答时, 他并不感到惊讶伤心3)5,(3,5,5,0,0,5),(0,0,5),(5),(5),(5),(5),(5),(5),(5)),(5),(5),(5),(5),(5),(5),(6,5),(5)。但是,他仍然在想问她时,他不想丢脸。Liam怎么会知道这是什么意思呢?

    In this concept, you will learn how to graph coordinates in four  quadrants .
    ::在这个概念中,你将学会如何用四个四分位数来绘制坐标。

    Graphing Coordinates in Four Quadrants
    ::四个二次曲线中的图形坐标

    A  coordinate grid  is a grid in which points are graphed. It usually has two or more intersecting lines which divide a plane into quadrants, and in which ordered pairs, or coordinates, are defined. The coordinate grid below has one  quadrant ,  or section, to it. 
    ::坐标网格是一个绘制点图的网格。它通常有两个或两个以上的交叉线,将平面分为四重方,并定义定购的对方或座标。下面的坐标网格中有一个象限或区域。

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    The  origin  is the place where the two lines intersect. Its coordinates are defined as (0,0).
    ::来源是两条线交叉的地方。其坐标被定义为(0,0) 。

    The  x-axis  is the line running from left to right that has the numbers defined on it and is usually labeled with an "x". The  x-coordinate  of an  ordered pair  is found with  relation  to it. All the points located on the x-axis have a  y-coordinate  of 0.
    ::X 轴是从左向右运行的线条,其编号是定义的,通常贴有“x”的标签。与该线条相关的是定购一对的X坐标。X 轴上的所有点都有0的Y坐标。

    The  y-axis  is the central line that runs up-down and is labeled with a "y". Y-coordinates are plotted in reference to this axis. Again, all the x-coordinates of points located on the y-axis are 0.
    ::Y 轴是自上而下并贴有“y”标签的中心线。 Y 坐标是在此轴上绘制的。同样,Y 轴上的所有点的 X 坐标都是 0 。

    An  ordered pair  is a list of two numbers in parenthesis, separated by a comma like this: (5,-3). It tells where a point is located on the  coordinate plane . The first number is the x-coordinate. It tells you where to go on the x-axis. If it is positive, you go to the right. If it is negative, you go to the left. The second number is the y-coordinate. It tells you where to go on the y-axis. If it is positive, you go up. If it is negative, you go down.
    ::订购的一对是括号中两个数字的列表,用像这样的逗号分隔开来: (5, 3) 。 它说明坐标平面上的点的位置。 第一个数字是 x 坐标。 它告诉您如何使用 x 轴。 如果是正数, 则向右走。 如果为负数, 则向左走。 第二个数字是 Y 坐标。 它告诉您如何使用 Y 轴。 如果为正数, 则向上。 如果为负数, 则向下走 。

    Here is an example.
    ::举一个例子。

    Plot (3, 5) on the coordinate grid then label it point  A .
    ::在坐标网格上绘制(3,5),然后贴上A点标签。

    First, look at the x-coordinate. 
    ::首先,看看X座标

    In this case, it is 3. So you go 3 to the right.
    ::在这种情况下,是3,所以你往右走3。

    Next, look at the y-coordinate.
    ::下一位,看看Y座标

    In this case, it is 5. So you go up 5.
    ::在这种情况下,是5,所以你往上爬5。

    Then, you draw a dot at that place. 
    ::然后你在那地方画个点

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    Most coordinate grids have four quadrants. They look like this:
    ::大多数坐标网格有四个四重方位,它们看起来是这样的:

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    Here is an example of a point graphed in a four-quadrant coordinate grid. Graph the point (-4, 3) and name it point  P . 
    ::这里举了一个以四平方坐标网格绘制的点。 绘制点( 4 、 3) 并命名点 P 。

    First, look at the x-coordinate.
    ::首先,看看X座标

    In this case, it is -4. "-" means move to the left, so you go 4 to the left.
    ::在这种情况下,是 -4. " -"的意思是向左移动, 所以你往左走4。

    Next, look at the y-coordinate.
    ::下一位,看看Y座标

    In this case, it is 3. It is positive, so that means it is up. Go up 3 units.
    ::在这种情况下,是3,是正数,也就是说上升了。上升了3个单位。

    The result looks like this:
    ::结果是这样的:

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    Examples
    ::实例

    Example 1
    ::例1

    Earlier, you were given a problem about Liam and his girl troubles.
    ::早些时候,你得到一个问题 关于利亚姆和他的女孩的麻烦。

    Lila gave him a list of ordered pairs--(-3,5), (3,5), (0,0), (0,-5)--when he asked her out. Did she say yes or no?
    ::莱拉给了他一份订购的一对 - (3) - (5),(3),(3,5),(0,0),(0),(5) - 当他约她出去时。

    First, Liam takes some graph paper and jots a coordinate plane.
    ::首先,利亚姆拿了些图表纸 并搭乘了一架坐标飞机

    Next, he sees that one of the points is at the origin, so he draws a dot there.
    ::接下来,他看到其中一个点是源头, 所以他画了一个点。

    Then, he moves to the left 3 and up 5 and makes a point there.
    ::然后,他向左移动 3和上5 并做了一个点在那里。

    Then, he sees that there is another point at 5 on the y-axis, so he goes ahead and moves over to +3 on the x-axis and makes a dot there, opposite the other point. At this point, he has a V and he thinks it could go either way.
    ::然后,他看到Y轴5点还有另一个点,所以他继续前进,在x轴3点上移动到+3点,然后做一个点,对着另一点。此时,他有一个V点,他认为它可以走任何一条路。

    Finally, he goes down 5 on the y-axis. There are no other points, so that looks like his answer. Sweet! Now, he just needs to figure out what he's going to wear.
    ::最后,他在Y轴上跌了5下。没有其他的点, 所以这看起来像他的答案。 太好了! 现在,他只需要弄清楚他要穿什么。

    Example 2
    ::例2

    Write the coordinates for the following point.
    ::写下一点的坐标 。

    Begin at the origin. Move five units to the right and three units down.
    ::开始在原点 向右移动五个单位 向下移动三个单位

    First, figure out the x-coordinate of the point.
    ::首先,找出点的 X 坐标 。

    The x-axis is the left-right axis. Right is the positive direction. So, the x-coordinate of the point is 5.
    ::X 轴是左- 右轴。右是正方向。因此,点的 X 坐标是 5 。

    Next, figure out the y-coordinate.
    ::下一个,找出Y座标

    The y-axis is the up-down axis. Down is the negative direction. So, the y-coordinate is -3.
    ::Y 轴是上下轴。 下是负方向。 所以, Y 坐标是 - 3 。

    Then, write the ordered pair of the point.
    ::那就写上点对点的顺序

    The answer is (5, -3).
    ::答案是5,3。

    For the following examples, identify each ordered pair on the coordinate grid given.
    ::下列示例中,请指明坐标网格上每对定购夫妇。

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    ::[图6]

    Example 3
    ::例3

    Point A
    ::点A

    First, locate point A.
    ::首先 定位A点

    Next, determine the x-coordinate.
    ::下一位,确定X坐标

    It is at +1 on the x-axis.
    ::在 X 轴上的 + 1 点 。

    Then, determine the y-coordinate.
    ::然后确定Y座标

    It is at +1 on the y-axis.
    ::这是在Y轴上的+1。

    Finally, write the ordered pair.
    ::最后,写下订好的一对

    The answer is (1,1)
    ::答案是(1,1)

    Example 4
    ::例4

    Point B
    ::点B

    First, locate point B.
    ::首先 定位B点

    Next, determine the x-coordinate.
    ::下一位,确定X坐标

    It is at -3 on the x-axis.
    ::它在x轴的 -3。

    Then, determine the y-coordinate.
    ::然后确定Y座标

    It is at -1 on the y-axis.
    ::它在Y轴的 -1。

    Finally, write the ordered pair.
    ::最后,写下订好的一对

    The answer is (-3,-1)
    ::答案是(-3-1)

    Example 5
    ::例5

    Point C
    ::C点

    First, locate point C.
    ::首先 定位C点

    Next, determine the x-coordinate.
    ::下一位,确定X坐标

    It is on the y-axis without going left or right. That means the x-coordinate is 0.
    ::它在 Y 轴上, 不向左或向右。 这意味着 X 坐标为 0 。

    Then, determine the y-coordinate.
    ::然后确定Y座标

    It is at +4 on the y-axis.
    ::这是在Y轴上的+4。

    Finally, write the ordered pair.
    ::最后,写下订好的一对

    The answer is (0,4)
    ::答案是( 0, 4)

    Example 6
    ::例6

    Point D
    ::D点

    First, locate point D.
    ::首先 定位D点

    Next, determine the x-coordinate.
    ::下一位,确定X坐标

    It is at +2 on the x-axis.
    ::在 X 轴上的 +2 点。

    Then, determine the y-coordinate.
    ::然后确定Y座标

    It is at -3 on the y-axis.
    ::它在Y轴上的 -3。

    Finally, write the ordered pair.
    ::最后,写下订好的一对

    The answer is (2,-3)

    ::答案是(2,3)

    Review
    ::回顾

    Identify the coordinates of each of the points plotted on the coordinate grid.
    ::确定坐标网所绘制的每个点的坐标。

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    1. A
      ::A A A
    2. B
      ::BB ,B
    3. C
      ::C 中 C
    4. D
      ::D D
    5. E
      ::英 英 英
    6. F
      ::F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F F
    7. G
      ::G 级
    8. H
      ::赫 时
    9. I
      ::一一
    10. J
      ::J J

    Answer the following questions.
    ::回答下列问题。

    1. What is the center point called?
      ::中心点叫什么?
    2. What are it's coordinates?
      ::什么是坐标?
    3. If you move to the right of the origin, are the values positive or negative?
      ::如果您移动到源的右侧, 数值是正值还是负值?
    4. What is the horizontal line called?
      ::水平线叫什么来着?
    5. What is the vertical line called?
      ::垂直线叫什么来着?