등고선도 만들기

도표 > 등고선도 > 등고선도 만들기

등고선도 만들기

1. 워크시트에서 등고선도를 삽입할 위치를 클릭하고 Ctrl+5를 누릅니다. 빈 등고선도 영역이 나타납니다.

또는 도표 탭의 그래프선 그룹에 있는 도표 삽입 목록에서 등고선도를 선택합니다.

이 식을 복사하려면 클릭

<region id="ID0ETDZHB" actualWidth="295.90666666666664" actualHeight="286.79999999999995" top="115.20000000000002" left="38.400000000000006" xmlns="http://schemas.mathsoft.com/worksheet50">
  <plot background-type="white">
    <contourPlot>
      <axes>
        <xAxis rank="1" legend-position="PlotBoundaryBottom" start="-10" end="10">
          <axisLine position="ticknumberlock" positionticmark="0" legendWidth="0" />
          <axisGrid>
            <gridFrequency>11</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <markers />
          <xyDomain scale-type="linear" auto-scale="true">
            <startValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </startValue>
            <endValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </endValue>
          </xyDomain>
        </xAxis>
        <yAxis rank="1" legend-position="PlotBoundaryLeft" start="-10" end="10">
          <axisLine position="ticknumberlock" positionticmark="0" legendWidth="0" />
          <axisGrid>
            <gridFrequency>11</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <markers />
          <xyDomain scale-type="linear" auto-scale="true">
            <startValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </startValue>
            <endValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </endValue>
          </xyDomain>
        </yAxis>
        <zAxis rank="1" start="-10" end="10">
          <axisLine position="origin" positionticmark="5" legendWidth="0" />
          <axisGrid>
            <gridFrequency>11</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <markers />
          <zDomain scale-type="linear" auto-scale="true">
            <startValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </startValue>
            <endValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </endValue>
          </zDomain>
        </zAxis>
      </axes>
      <contour color="#FF000000" show-lables="false" resultRef="21" />
      <graph-size width="230.39999999999998" height="230.39999999999998" />
      <plotEquation>
        <math>
          <placeholder xmlns="http://schemas.mathsoft.com/math50" />
        </math>
        <math>
          <placeholder xmlns="http://schemas.mathsoft.com/math50" />
        </math>
      </plotEquation>
    </contourPlot>
  </plot>
</region>

2. 변수가 2개인 함수, 행렬 또는 행렬 세 개를 포함하는 벡터를 정의합니다.

3. Z축 식 자리 표시자에 함수 이름을 인수 없이 입력하고 Enter 키를 누릅니다. 도표 영역에 등고선도가 나타나고 X축 아래에 색상 배율이 나타납니다.

이 식을 복사하려면 클릭

<region id="ID0ETGZHB" actualWidth="298.79666666666668" actualHeight="286.79999999999995" top="556.80000000000007" left="38.400000000000006" xmlns="http://schemas.mathsoft.com/worksheet50">
  <plot background-type="white">
    <contourPlot>
      <axes>
        <xAxis rank="1" legend-position="PlotBoundaryBottom" start="-10" end="10">
          <axisLine position="ticknumberlock" positionticmark="0" legendWidth="0" />
          <axisGrid>
            <gridFrequency>11</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <markers />
          <xyDomain scale-type="linear" auto-scale="true">
            <startValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </startValue>
            <endValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </endValue>
          </xyDomain>
        </xAxis>
        <yAxis rank="1" legend-position="PlotBoundaryLeft" start="-10" end="10">
          <axisLine position="ticknumberlock" positionticmark="0" legendWidth="0" />
          <axisGrid>
            <gridFrequency>11</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <markers />
          <xyDomain scale-type="linear" auto-scale="true">
            <startValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </startValue>
            <endValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </endValue>
          </xyDomain>
        </yAxis>
        <zAxis rank="1" start="20" end="180">
          <axisLine position="origin" positionticmark="5" legendWidth="0" />
          <axisGrid>
            <gridFrequency>9</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <markers />
          <zDomain scale-type="linear" auto-scale="true">
            <startValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </startValue>
            <endValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </endValue>
          </zDomain>
        </zAxis>
      </axes>
      <contour color="#FF000000" show-lables="false" resultRef="23" />
      <graph-size width="230.39999999999998" height="230.39999999999998" />
      <plotEquation>
        <math>
          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true" xmlns="http://schemas.mathsoft.com/math50">f</id>
        </math>
        <math>
          <placeholder xmlns="http://schemas.mathsoft.com/math50" />
        </math>
      </plotEquation>
    </contourPlot>
  </plot>
</region>

기본 등고선 수는 10개입니다.

4. 등고선 수를 변경하려면 Z축 상한값 틱 표시를 편집합니다.

이 식을 복사하려면 클릭

<region id="ID0E4IZHB" actualWidth="298.79666666666668" actualHeight="286.79999999999995" top="960.00000000000011" left="38.400000000000006" xmlns="http://schemas.mathsoft.com/worksheet50">
  <plot background-type="white">
    <contourPlot>
      <axes>
        <xAxis rank="1" legend-position="PlotBoundaryBottom" start="-10" end="10">
          <axisLine position="ticknumberlock" positionticmark="0" legendWidth="0" />
          <axisGrid>
            <gridFrequency>11</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <markers />
          <xyDomain scale-type="linear" auto-scale="true">
            <startValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </startValue>
            <endValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </endValue>
          </xyDomain>
        </xAxis>
        <yAxis rank="1" legend-position="PlotBoundaryLeft" start="-10" end="10">
          <axisLine position="ticknumberlock" positionticmark="0" legendWidth="0" />
          <axisGrid>
            <gridFrequency>11</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <markers />
          <xyDomain scale-type="linear" auto-scale="true">
            <startValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </startValue>
            <endValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </endValue>
          </xyDomain>
        </yAxis>
        <zAxis rank="1" start="20" end="90">
          <axisLine position="origin" positionticmark="5" legendWidth="0" />
          <axisGrid>
            <gridFrequency>11</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <markers />
          <zDomain scale-type="linear" auto-scale="true">
            <startValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </startValue>
            <endValue resultRef="24">
              <real xmlns="http://schemas.mathsoft.com/math50">90</real>
            </endValue>
          </zDomain>
        </zAxis>
      </axes>
      <contour color="#FF000000" show-lables="false" resultRef="25" />
      <graph-size width="230.39999999999998" height="230.39999999999998" />
      <plotEquation>
        <math>
          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true" xmlns="http://schemas.mathsoft.com/math50">f</id>
        </math>
        <math>
          <placeholder xmlns="http://schemas.mathsoft.com/math50" />
        </math>
      </plotEquation>
    </contourPlot>
  </plot>
</region>

틱 표시 간격이 자동으로 설정되고 그에 따라 등고선 수가 변경됩니다.

5. 특정 개수(예: 3개)의 등고선을 얻으려면 다음과 같이 틱 표시 값을 설정합니다.

a. 상한값 틱 표시 ULTM을 설정합니다.

b. 하한값 틱 표시 LLTM을 설정합니다.

c. 다음 방정식이 3으로 계산되도록 틱 표시 간격 ITM을 설정합니다.

d. 이제 도표에 등고선 세 개가 표시됩니다.

이 식을 복사하려면 클릭

<region id="ID0EWRZHB" actualWidth="298.79666666666668" actualHeight="286.79999999999995" top="1747.2000000000003" left="38.400000000000006" xmlns="http://schemas.mathsoft.com/worksheet50">
  <plot background-type="white">
    <contourPlot>
      <axes>
        <xAxis rank="1" legend-position="PlotBoundaryBottom" start="-10" end="10">
          <axisLine position="ticknumberlock" positionticmark="0" legendWidth="0" />
          <axisGrid>
            <gridFrequency>11</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <markers />
          <xyDomain scale-type="linear" auto-scale="true">
            <startValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </startValue>
            <endValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </endValue>
          </xyDomain>
        </xAxis>
        <yAxis rank="1" legend-position="PlotBoundaryLeft" start="-10" end="10">
          <axisLine position="ticknumberlock" positionticmark="0" legendWidth="0" />
          <axisGrid>
            <gridFrequency>11</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <markers />
          <xyDomain scale-type="linear" auto-scale="true">
            <startValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </startValue>
            <endValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </endValue>
          </xyDomain>
        </yAxis>
        <zAxis rank="1" start="0" end="90">
          <axisLine position="origin" positionticmark="5" legendWidth="0" />
          <axisGrid>
            <gridFrequency>4</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <markers />
          <zDomain scale-type="linear" auto-scale="true">
            <startValue resultRef="30">
              <real xmlns="http://schemas.mathsoft.com/math50">0</real>
            </startValue>
            <secondTickValue resultRef="31">
              <real xmlns="http://schemas.mathsoft.com/math50">30</real>
            </secondTickValue>
            <endValue resultRef="32">
              <real xmlns="http://schemas.mathsoft.com/math50">90</real>
            </endValue>
          </zDomain>
        </zAxis>
      </axes>
      <contour color="#FF000000" show-lables="false" resultRef="33" />
      <graph-size width="230.39999999999998" height="230.39999999999998" />
      <plotEquation>
        <math>
          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true" xmlns="http://schemas.mathsoft.com/math50">f</id>
        </math>
        <math>
          <placeholder xmlns="http://schemas.mathsoft.com/math50" />
        </math>
      </plotEquation>
    </contourPlot>
  </plot>
</region>

6. 등고선 값을 표시하려면 도표 탭의 스타일 그룹에서 등고선 값을 클릭합니다.

이 식을 복사하려면 클릭

<region id="ID0ETTZHB" actualWidth="298.79666666666668" actualHeight="286.79999999999995" top="2092.8" left="38.400000000000006" xmlns="http://schemas.mathsoft.com/worksheet50">
  <plot background-type="white">
    <contourPlot>
      <axes>
        <xAxis rank="1" legend-position="PlotBoundaryBottom" start="-10" end="10">
          <axisLine position="ticknumberlock" positionticmark="0" legendWidth="0" />
          <axisGrid>
            <gridFrequency>11</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <markers />
          <xyDomain scale-type="linear" auto-scale="true">
            <startValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </startValue>
            <endValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </endValue>
          </xyDomain>
        </xAxis>
        <yAxis rank="1" legend-position="PlotBoundaryLeft" start="-10" end="10">
          <axisLine position="ticknumberlock" positionticmark="0" legendWidth="0" />
          <axisGrid>
            <gridFrequency>11</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <markers />
          <xyDomain scale-type="linear" auto-scale="true">
            <startValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </startValue>
            <endValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </endValue>
          </xyDomain>
        </yAxis>
        <zAxis rank="1" start="0" end="90">
          <axisLine position="origin" positionticmark="5" legendWidth="0" />
          <axisGrid>
            <gridFrequency>4</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <markers />
          <zDomain scale-type="linear" auto-scale="true">
            <startValue resultRef="34">
              <real xmlns="http://schemas.mathsoft.com/math50">0</real>
            </startValue>
            <secondTickValue resultRef="35">
              <real xmlns="http://schemas.mathsoft.com/math50">30</real>
            </secondTickValue>
            <endValue resultRef="36">
              <real xmlns="http://schemas.mathsoft.com/math50">90</real>
            </endValue>
          </zDomain>
        </zAxis>
      </axes>
      <contour color="#FF000000" resultRef="37" />
      <graph-size width="230.39999999999998" height="230.39999999999998" />
      <plotEquation>
        <math>
          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true" xmlns="http://schemas.mathsoft.com/math50">f</id>
        </math>
        <math>
          <placeholder xmlns="http://schemas.mathsoft.com/math50" />
        </math>
      </plotEquation>
    </contourPlot>
  </plot>
</region>

등고선 값을 숨기려면 등고선 값을 다시 클릭합니다.

7. 도표 색상 구성표를 지형도로 변경하려면 도표 탭의 스타일 그룹에서 색상 구성표를 클릭하고 목록에서 해당 옵션을 선택합니다.

이 식을 복사하려면 클릭

<region id="ID0E3VZHB" actualWidth="298.79666666666668" actualHeight="286.79999999999995" top="2611.2000000000003" left="57.600000000000009" xmlns="http://schemas.mathsoft.com/worksheet50">
  <plot background-type="white">
    <contourPlot>
      <axes>
        <xAxis rank="1" legend-position="PlotBoundaryBottom" start="-10" end="10">
          <axisLine position="ticknumberlock" positionticmark="0" legendWidth="0" />
          <axisGrid>
            <gridFrequency>11</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <markers />
          <xyDomain scale-type="linear" auto-scale="true">
            <startValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </startValue>
            <endValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </endValue>
          </xyDomain>
        </xAxis>
        <yAxis rank="1" legend-position="PlotBoundaryLeft" start="-10" end="10">
          <axisLine position="ticknumberlock" positionticmark="0" legendWidth="0" />
          <axisGrid>
            <gridFrequency>11</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <markers />
          <xyDomain scale-type="linear" auto-scale="true">
            <startValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </startValue>
            <endValue>
              <placeholder xmlns="http://schemas.mathsoft.com/math50" />
            </endValue>
          </xyDomain>
        </yAxis>
        <zAxis rank="1" start="0" end="90">
          <axisLine position="origin" positionticmark="5" legendWidth="0" />
          <axisGrid>
            <gridFrequency>4</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <markers />
          <zDomain scale-type="linear" auto-scale="true">
            <startValue resultRef="38">
              <real xmlns="http://schemas.mathsoft.com/math50">0</real>
            </startValue>
            <secondTickValue resultRef="39">
              <real xmlns="http://schemas.mathsoft.com/math50">30</real>
            </secondTickValue>
            <endValue resultRef="40">
              <real xmlns="http://schemas.mathsoft.com/math50">90</real>
            </endValue>
          </zDomain>
        </zAxis>
      </axes>
      <contour color="#FF000000" resultRef="41" color-scheme="topographical" />
      <graph-size width="230.39999999999998" height="230.39999999999998" />
      <plotEquation>
        <math>
          <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true" xmlns="http://schemas.mathsoft.com/math50">f</id>
        </math>
        <math>
          <placeholder xmlns="http://schemas.mathsoft.com/math50" />
        </math>
      </plotEquation>
    </contourPlot>
  </plot>
</region>

함수를 도표화한 다음 도표에 서식을 지정하는 대신 CreateMesh를 사용하여 X축 및 Y축의 범위를 제어할 수 있습니다. 또한 CreateMesh를 사용하면 등고선도의 격자선 크기를 제어하고 함수를 데카르트 좌표계에 매핑할 수 있습니다.

관련 항목

등고선도 파트 정보

CreateSpace 및 CreateMesh

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