Пример. Построение графиков больших наборов данных с использованием 3D-графиков

Графики > 3D-графики > Пример. Построение графиков больших наборов данных с использованием 3D-графиков

1. Определите число точек данных, которые будут нанесены на график.

2. Постройте 3D-график для этих данных.

Щелкните для копирования этого выражения

<region id="ID0EPRAJB" actualWidth="288" actualHeight="291.79999999999995" top="230.40000000000003" left="38.400000000000006" xmlns="http://schemas.mathsoft.com/worksheet50">
  <plot background-type="white">
    <plot3D>
      <traces>
        <trace3D resultRef="6" num-of-points="41">
          <traceStyle color="#FF068149" automaticStyle="true">surface</traceStyle>
        </trace3D>
      </traces>
      <graph-size width="230.39999999999998" height="230.39999999999998" />
      <axes>
        <xAxis rank="1" start="0" end="100">
          <axisLine />
          <axisGrid>
            <gridFrequency>5</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <xyDomain auto-scale="true" allow-negative-values="true" scale-type="linear">
            <startValue />
            <endValue />
          </xyDomain>
        </xAxis>
        <yAxis rank="1" start="0" end="100">
          <axisLine />
          <axisGrid>
            <gridFrequency>5</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <xyDomain auto-scale="true" allow-negative-values="true" scale-type="linear">
            <startValue />
            <endValue />
          </xyDomain>
        </yAxis>
        <zAxis rank="1" start="0" end="10000">
          <axisLine />
          <axisGrid>
            <gridFrequency>5</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <zDomain auto-scale="true" allow-negative-values="true" scale-type="linear">
            <startValue />
            <endValue />
          </zDomain>
        </zAxis>
      </axes>
      <plotEquations>
        <plotEquation>
          <math>
            <apply xmlns="http://schemas.mathsoft.com/math50">
              <mult />
              <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">x1</id>
              <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">y1</id>
            </apply>
          </math>
          <math>
            <placeholder xmlns="http://schemas.mathsoft.com/math50" />
          </math>
        </plotEquation>
      </plotEquations>
      <CameraTransformMatrix Columns="4" Rows="4">
        <Cells>
          <Cell>0.99562694294914511</Cell>
          <Cell>-0.093416843623749871</Cell>
          <Cell>0.00053272987123978432</Cell>
          <Cell>0</Cell>
          <Cell>0.092030622871884307</Cell>
          <Cell>0.98180013428504165</Cell>
          <Cell>0.16612904854867241</Cell>
          <Cell>0</Cell>
          <Cell>-0.016042285608754554</Cell>
          <Cell>-0.16535352927969219</Cell>
          <Cell>0.98610387659069521</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>1</Cell>
        </Cells>
      </CameraTransformMatrix>
    </plot3D>
  </plot>
</region>

Число нанесенных на график точек данных:

Точки данных нанесены на график без ошибок.

3. Увеличьте число точек данных, которые должны быть нанесены на график, и повторно постройте для них график.

<region id="ID0ERUAJB" actualWidth="288" actualHeight="291.79999999999995" top="864.00000000000011" left="38.400000000000006" xmlns="http://schemas.mathsoft.com/worksheet50">
  <plot background-type="white">
    <plot3D>
      <traces>
        <trace3D resultRef="15" num-of-points="41">
          <traceStyle color="#FF31ADC2" automaticStyle="true">surface</traceStyle>
        </trace3D>
      </traces>
      <graph-size width="230.39999999999998" height="230.39999999999998" />
      <axes>
        <xAxis rank="1" start="0" end="160">
          <axisLine />
          <axisGrid>
            <gridFrequency>5</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <xyDomain auto-scale="true" allow-negative-values="true" scale-type="linear">
            <startValue />
            <endValue />
          </xyDomain>
        </xAxis>
        <yAxis rank="1" start="0" end="200">
          <axisLine />
          <axisGrid>
            <gridFrequency>5</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <xyDomain auto-scale="true" allow-negative-values="true" scale-type="linear">
            <startValue />
            <endValue />
          </xyDomain>
        </yAxis>
        <zAxis rank="1" start="0" end="30000">
          <axisLine />
          <axisGrid>
            <gridFrequency>5</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <zDomain auto-scale="true" allow-negative-values="true" scale-type="linear">
            <startValue />
            <endValue />
          </zDomain>
        </zAxis>
      </axes>
      <plotEquations>
        <plotEquation>
          <math>
            <apply xmlns="http://schemas.mathsoft.com/math50">
              <mult />
              <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">x2</id>
              <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">y2</id>
            </apply>
          </math>
          <math>
            <placeholder xmlns="http://schemas.mathsoft.com/math50" />
          </math>
        </plotEquation>
      </plotEquations>
      <CameraTransformMatrix Columns="4" Rows="4">
        <Cells>
          <Cell>0.99562694294914511</Cell>
          <Cell>-0.093416843623749871</Cell>
          <Cell>0.00053272987123978432</Cell>
          <Cell>0</Cell>
          <Cell>0.092030622871884307</Cell>
          <Cell>0.98180013428504165</Cell>
          <Cell>0.16612904854867241</Cell>
          <Cell>0</Cell>
          <Cell>-0.016042285608754554</Cell>
          <Cell>-0.16535352927969219</Cell>
          <Cell>0.98610387659069521</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>1</Cell>
        </Cells>
      </CameraTransformMatrix>
    </plot3D>
  </plot>
</region>

Число нанесенных на график точек данных:

Точки данных нанесены на график без ошибок.

4. Увеличьте число точек данных, которые должны быть нанесены на график, и повторно постройте для них график.

<region id="ID0ETXAJB" actualWidth="288" actualHeight="291.79999999999995" top="1363.2000000000003" left="38.400000000000006" xmlns="http://schemas.mathsoft.com/worksheet50">
  <plot background-type="white">
    <plot3D>
      <traces>
        <trace3D resultRef="24" num-of-points="41">
          <traceStyle color="#FF068149" automaticStyle="true">undefined</traceStyle>
        </trace3D>
      </traces>
      <graph-size width="230.39999999999998" height="230.39999999999998" />
      <axes>
        <xAxis rank="1" start="-10" end="10">
          <axisLine />
          <axisGrid>
            <gridFrequency>5</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <xyDomain auto-scale="true" allow-negative-values="true" scale-type="linear">
            <startValue />
            <endValue />
          </xyDomain>
        </xAxis>
        <yAxis rank="1" start="-10" end="10">
          <axisLine />
          <axisGrid>
            <gridFrequency>5</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <xyDomain auto-scale="true" allow-negative-values="true" scale-type="linear">
            <startValue />
            <endValue />
          </xyDomain>
        </yAxis>
        <zAxis rank="1" start="-10" end="10">
          <axisLine />
          <axisGrid>
            <gridFrequency>5</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <zDomain auto-scale="true" allow-negative-values="true" scale-type="linear">
            <startValue />
            <endValue />
          </zDomain>
        </zAxis>
      </axes>
      <plotEquations>
        <plotEquation>
          <math>
            <apply xmlns="http://schemas.mathsoft.com/math50">
              <mult />
              <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">x3</id>
              <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">y3</id>
            </apply>
          </math>
          <math>
            <placeholder xmlns="http://schemas.mathsoft.com/math50" />
          </math>
        </plotEquation>
      </plotEquations>
      <CameraTransformMatrix Columns="4" Rows="4">
        <Cells>
          <Cell>0.99562694294914511</Cell>
          <Cell>-0.093416843623749871</Cell>
          <Cell>0.00053272987123978432</Cell>
          <Cell>0</Cell>
          <Cell>0.092030622871884307</Cell>
          <Cell>0.98180013428504165</Cell>
          <Cell>0.16612904854867241</Cell>
          <Cell>0</Cell>
          <Cell>-0.016042285608754554</Cell>
          <Cell>-0.16535352927969219</Cell>
          <Cell>0.98610387659069521</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>0</Cell>
          <Cell>1</Cell>
        </Cells>
      </CameraTransformMatrix>
    </plot3D>
  </plot>
</region>

Число нанесенных на график точек данных:

Построить график не удастся, поскольку число точек данных превышает допустимый максимум 40 000.

Похожие темы

Сведения о 3D-графиках

Было ли это полезно?