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3.4: (a, b)

  • Page ID
    171033
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    在本节中,两个端点均未包含在间隔中。

    \((2,5)\)

    解决方案
    clipboard_ed02584abc419d9b4c552a7f3a0665800.png
    Template:Index

    上面的间隔包括 2 到 5 之间的所有数字,但由于间隔的左侧和右侧都有括号,因此不包括终点。

    \((-4,10)\)

    解决方案
    clipboard_e3c08ff2a1c09de1cdd8d5fd910f40778.png
    Template:Index

    与前面示例的解释类似,终点不包含在间隔中。 因此,间隔包括介于 -4 和 10 之间的每个数字,但不包括 -4 和 10。

    到目前为止,学生应该对上述示例中包含和未包含的数字有了深刻的了解。 学生还应该能够分析任何给定的数字线,并为该数字行写出适当的间隔符号。 尝试以下练习以检查是否理解。

    按以下间隔画一条数字线,并在集合中列出至少三个数字。

    1. \((0,1)\)
    2. \((-11,-5)\)
    3. \((100,325)\)
    4. \((5,6)\)
    5. \((12.1, 26.55]\)

    画一条与以下间隔相对应的数字线。

    1. \([-2,3)\)
    2. \([-5,-2]\)
    3. \((0,5]\)
    4. \((-3,4)\)
    5. \([-3,-2]\)
    6. \((-7,2.5)\)

    为给定的数字行写出相应的间隔表示法。

    1. clipboard_eaf25f54bdd51292793561ac52327ea79.png
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    2. clipboard_ea30f5db1fcf59dc703453b44b6e594b1.png
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    3. clipboard_e94592852e95353bec73409c17b019348.png
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    4. clipboard_e8a9241fcff6d38e501a451cb77c26cf9.png
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    5. clipboard_e18c65da53a6f43b9ae17c6c57e84faa8.png
      Template:Index
    6. clipboard_e65e3add979e445d287ea5138a0be4c46.png
      Template:Index
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    This page titled 3.4: (a, b) is shared under a CC BY-SA 4.0 license and was authored, remixed, and/or curated by Victoria Dominguez, Cristian Martinez, & Sanaa Saykali (ASCCC Open Educational Resources Initiative) .