使用可指令化控制項和 API 進行計算

Controls > Advanced Controls > 可指令化控制項中的自動化 > 使用可指令化控制項和 API 進行計算

使用可指令化控制項和 API 進行計算

1. 您可以透過 2 種方式使用「滑桿」將函數繪製成圖：使用滑桿的輸出或使用工作表的輸入。

<region id="ID0EYQWOB" actualWidth="229.34666666666666" actualHeight="39" top="153.60000000000002" left="19.200000000000003" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="14">
    <define xmlns="http://schemas.mathsoft.com/math50">
      <id labels="VARIABLE" xml:space="preserve">x1</id>
      <SliderScriptableControl Orientation="Horizontal" Minimum="1" Maximum="10" TickPlacement="Both" TickFrequency="1" IsSnapToTickEnabled="true" Border="true" LargeChange="10" SmallChange="1" SelectedIndex="1" Script="H4sIAAAAAAAEAEsrzUsuyczPUwjOyUxJLXItS80riQ8uSSwq0fDMKygtKdZR8C8tATE0Fap5uRQUeLlqrXm5eLnSsGl0rUhNxqFPAWZOtEGsXlhiTmmqgi3UUr2A/OJMkCM0NIFG4zE+uCS/AKfx+voKIf4u/lYKjikpCpX5pUUKyfkpqQoZqUWpOAyNBzvDOSMxLz01Bbu5IJ0A+hjmQiMBAAA=" EngineType="JScript" ScriptObjectControlName="" Width="187" Height="30">
        <vals>
          <val />
        </vals>
        <calcs>
          <calc>1</calc>
        </calcs>
      </SliderScriptableControl>
    </define>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
  </math>
</region>

<region id="ID0EURWOB" actualWidth="140.51999999999998" actualHeight="44" top="268.80000000000007" left="19.200000000000003" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="16">
    <define xmlns="http://schemas.mathsoft.com/math50">
      <function>
        <id labels="VARIABLE" xml:space="preserve">f1</id>
        <boundVars>
          <id labels="VARIABLE" xml:space="preserve">x</id>
        </boundVars>
      </function>
      <apply>
        <mult />
        <real>4</real>
        <apply>
          <div />
          <apply>
            <id labels="FUNCTION" xml:space="preserve" label-is-contextual="true">sin</id>
            <apply>
              <mult />
              <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">x1</id>
              <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">x</id>
            </apply>
          </apply>
          <apply>
            <mult />
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">x1</id>
            <id labels="CONSTANT" xml:space="preserve" label-is-contextual="true">π</id>
          </apply>
        </apply>
      </apply>
    </define>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
    <formattingOverride FontSize="10" />
  </math>
</region>

<region id="ID0ECSWOB" actualWidth="121.91999999999999" actualHeight="47.053333333333335" top="326.40000000000003" left="19.200000000000003" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="17">
    <symEval xmlns="http://schemas.mathsoft.com/math50">
      <apply>
        <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">f1</id>
        <id xml:space="preserve">x</id>
      </apply>
      <command>
        <placeholder />
      </command>
      <symResult>
        <apply>
          <div />
          <apply>
            <mult />
            <real>4</real>
            <apply>
              <id labels="FUNCTION" xml:space="preserve">sin</id>
              <id labels="VARIABLE" xml:space="preserve">x</id>
            </apply>
          </apply>
          <id labels="CONSTANT" xml:space="preserve">π</id>
        </apply>
      </symResult>
    </symEval>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
    <formattingOverride BackgroundColor="#00FFFFFF" FontSize="10" />
  </math>
</region>

2. 將函數繪製成圖。

按一下以複製此運算式

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  <plot background-type="transparent" origin-positioning="true">
    <xyPlot>
      <title class="- topic/title " wwtype:type="Paragraph" xmlns:wwtype="urn:WebWorks-Type-Schema" />
      <legend />
      <traces>
        <trace num-of-points="500" resultRef="18">
          <traceStyle color="#FF2A5072" symbol="none" line-weight="2" line-style="Solid">線條</traceStyle>
        </trace>
      </traces>
      <graph-size width="165.202563445271" height="179.705921558574" />
      <axes>
        <xAxis rank="1" legend-position="PlotBoundaryBottom" start="-10" end="10">
          <axisLine position="origin" positionticmark="5" legendWidth="60.93" />
          <axisGrid>
            <gridFrequency>11</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <markers />
          <plotEquations>
            <plotEquation>
              <math>
                <id xml:space="preserve" xmlns="http://schemas.mathsoft.com/math50">x</id>
              </math>
              <math>
                <placeholder xmlns="http://schemas.mathsoft.com/math50" />
              </math>
            </plotEquation>
          </plotEquations>
          <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="PlotBoundaryRight" start="-1.5" end="1.5">
          <axisLine position="origin" positionticmark="5" legendWidth="90.2833333333333" />
          <axisGrid>
            <gridFrequency>11</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <markers />
          <plotEquations>
            <plotEquation>
              <math>
                <apply xmlns="http://schemas.mathsoft.com/math50">
                  <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">f1</id>
                  <id xml:space="preserve">x</id>
                </apply>
              </math>
              <math>
                <placeholder xmlns="http://schemas.mathsoft.com/math50" />
              </math>
            </plotEquation>
          </plotEquations>
          <xyDomain scale-type="linear" auto-scale="true">
            <startValue resultRef="19">
              <real xmlns="http://schemas.mathsoft.com/math50">-1.5</real>
            </startValue>
            <endValue resultRef="20">
              <real xmlns="http://schemas.mathsoft.com/math50">1.5</real>
            </endValue>
          </xyDomain>
        </yAxis>
      </axes>
    </xyPlot>
  </plot>
</region>

3. 使用 API 更新滑桿輸入並修改函數。以下滑桿可呼叫 Mathcad API。您可以將範例複製到工作表以查看完整指令集。

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      <vals>
        <val />
      </vals>
      <calcs>
        <calc />
      </calcs>
    </SliderScriptableControl>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
  </math>
</region>

4. 設定輸入變數。

將此運算式複製到工作表後，您必須使用「輸入/輸出」 > 「指派輸入」來將 x2 指派為輸入變數。

5. 比較結果。您可以看到這兩種方法會提供類似的結果。

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  <math resultRef="23">
    <define xmlns="http://schemas.mathsoft.com/math50">
      <function>
        <id labels="VARIABLE" xml:space="preserve">f2</id>
        <boundVars>
          <id labels="VARIABLE" xml:space="preserve">x</id>
        </boundVars>
      </function>
      <apply>
        <mult />
        <real>4</real>
        <apply>
          <div />
          <apply>
            <id labels="FUNCTION" xml:space="preserve" label-is-contextual="true">sin</id>
            <apply>
              <mult />
              <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">x2</id>
              <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">x</id>
            </apply>
          </apply>
          <apply>
            <mult />
            <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">x2</id>
            <id labels="CONSTANT" xml:space="preserve" label-is-contextual="true">π</id>
          </apply>
        </apply>
      </apply>
    </define>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
    <formattingOverride FontSize="10" />
  </math>
</region>

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  <math resultRef="24">
    <symEval xmlns="http://schemas.mathsoft.com/math50">
      <apply>
        <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">f2</id>
        <id xml:space="preserve">x</id>
      </apply>
      <command>
        <placeholder />
      </command>
      <symResult>
        <apply>
          <div />
          <apply>
            <mult />
            <real>4</real>
            <apply>
              <id labels="FUNCTION" xml:space="preserve">sin</id>
              <id labels="VARIABLE" xml:space="preserve">x</id>
            </apply>
          </apply>
          <id labels="CONSTANT" xml:space="preserve">π</id>
        </apply>
      </symResult>
    </symEval>
    <resultFormat>
      <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" />
    </resultFormat>
    <formattingOverride BackgroundColor="#00FFFFFF" FontSize="10" />
  </math>
</region>

按一下以複製此運算式

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  <plot background-type="transparent" origin-positioning="true">
    <xyPlot>
      <title class="- topic/title " wwtype:type="Paragraph" xmlns:wwtype="urn:WebWorks-Type-Schema" />
      <legend />
      <traces>
        <trace num-of-points="500" resultRef="25">
          <traceStyle color="#FF2A5072" symbol="none" line-weight="2" line-style="Solid">線條</traceStyle>
        </trace>
      </traces>
      <graph-size width="165.202563445271" height="179.705921558574" />
      <axes>
        <xAxis rank="1" legend-position="PlotBoundaryBottom" start="-10" end="10">
          <axisLine position="origin" positionticmark="5" legendWidth="60.93" />
          <axisGrid>
            <gridFrequency>11</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <markers />
          <plotEquations>
            <plotEquation>
              <math>
                <id xml:space="preserve" xmlns="http://schemas.mathsoft.com/math50">x</id>
              </math>
              <math>
                <placeholder xmlns="http://schemas.mathsoft.com/math50" />
              </math>
            </plotEquation>
          </plotEquations>
          <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="PlotBoundaryRight" start="-1.5" end="1.5">
          <axisLine position="origin" positionticmark="5" legendWidth="90.2833333333333" />
          <axisGrid>
            <gridFrequency>11</gridFrequency>
            <gridLabels display="true" />
            <gridLines />
            <tickMarks display="true" />
          </axisGrid>
          <axisLabel />
          <markers />
          <plotEquations>
            <plotEquation>
              <math>
                <apply xmlns="http://schemas.mathsoft.com/math50">
                  <id labels="VARIABLE" xml:space="preserve" label-is-contextual="true">f2</id>
                  <id xml:space="preserve">x</id>
                </apply>
              </math>
              <math>
                <placeholder xmlns="http://schemas.mathsoft.com/math50" />
              </math>
            </plotEquation>
          </plotEquations>
          <xyDomain scale-type="linear" auto-scale="true">
            <startValue resultRef="26">
              <real xmlns="http://schemas.mathsoft.com/math50">-1.5</real>
            </startValue>
            <endValue resultRef="27">
              <real xmlns="http://schemas.mathsoft.com/math50">1.5</real>
            </endValue>
          </xyDomain>
        </yAxis>
      </axes>
    </xyPlot>
  </plot>
</region>

相關主題

可指令化控制項中的自動化

自動化 API

關於滑桿

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