範例：含有多重估值的解題指令群

解題指令群 > 範例：含有多重估值的解題指令群

範例：含有多重估值的解題指令群

1. 插入解題指令群，並使用 Find 函數，以求解含有兩個變數的方程式系統。

按一下以複製此運算式

<region id="ID0E2GRTB" top="96" left="48" xml:lang="zh_TW" height="258.624" width="309.724482758621" xmlns="http://schemas.mathsoft.com/worksheet50">
  <solveblock xml:lang="zh_TW">
    <regions xml:lang="zh_TW">
      <region id="" top="24" left="24" xml:lang="zh_TW" solve-block-category="guess-value">
        <math xml:lang="zh_TW" disable-calc="false">
          <define xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
            <id xml:lang="zh_TW" label="Variable">x</id>
            <real xml:lang="zh_TW">1</real>
          </define>
        </math>
      </region>
      <region id="" top="48" left="24" xml:lang="zh_TW" solve-block-category="guess-value">
        <math xml:lang="zh_TW" disable-calc="false">
          <define xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
            <id xml:lang="zh_TW" label="Variable">y</id>
            <real xml:lang="zh_TW">1</real>
          </define>
        </math>
      </region>
      <region id="" top="96" left="24" xml:lang="zh_TW" solve-block-category="constraint">
        <math xml:lang="zh_TW" disable-calc="false">
          <apply xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
            <equal xml:lang="zh_TW" />
            <apply xml:lang="zh_TW">
              <plus xml:lang="zh_TW" />
              <apply xml:lang="zh_TW">
                <pow xml:lang="zh_TW" />
                <id xml:lang="zh_TW">x</id>
                <real xml:lang="zh_TW">2</real>
              </apply>
              <apply xml:lang="zh_TW">
                <mult xml:lang="zh_TW" />
                <apply xml:lang="zh_TW">
                  <scale xml:lang="zh_TW" />
                  <real xml:lang="zh_TW">3</real>
                  <id xml:lang="zh_TW">y</id>
                </apply>
                <apply xml:lang="zh_TW">
                  <id xml:lang="zh_TW">sin</id>
                  <id xml:lang="zh_TW">x</id>
                </apply>
              </apply>
            </apply>
            <real xml:lang="zh_TW">2</real>
          </apply>
        </math>
      </region>
      <region id="" top="120" left="24" xml:lang="zh_TW" solve-block-category="constraint">
        <math xml:lang="zh_TW" disable-calc="false">
          <apply xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
            <equal xml:lang="zh_TW" />
            <apply xml:lang="zh_TW">
              <plus xml:lang="zh_TW" />
              <id xml:lang="zh_TW">x</id>
              <apply xml:lang="zh_TW">
                <scale xml:lang="zh_TW" />
                <real xml:lang="zh_TW">6</real>
                <apply xml:lang="zh_TW">
                  <pow xml:lang="zh_TW" />
                  <id xml:lang="zh_TW">y</id>
                  <real xml:lang="zh_TW">2</real>
                </apply>
              </apply>
            </apply>
            <real xml:lang="zh_TW">8</real>
          </apply>
        </math>
      </region>
      <region id="" top="168" left="24" xml:lang="zh_TW" solve-block-category="solver">
        <math xml:lang="zh_TW" disable-calc="false">
          <define xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
            <id xml:lang="zh_TW" label="Variable">sol</id>
            <apply xml:lang="zh_TW">
              <id xml:lang="zh_TW" label="Keyword">尋找</id>
              <sequence xml:lang="zh_TW">
                <id xml:lang="zh_TW">x</id>
                <id xml:lang="zh_TW">y</id>
              </sequence>
            </apply>
          </define>
        </math>
      </region>
      <region id="" top="216" left="24" xml:lang="zh_TW">
        <math resultRef="6" xml:lang="zh_TW" disable-calc="false">
          <eval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
            <id xml:lang="zh_TW">sol</id>
            <unitOverride xml:lang="zh_TW">
              <placeholder xml:lang="zh_TW" />
            </unitOverride>
          </eval>
        </math>
      </region>
    </regions>
  </solveblock>
</region>

解題指令群區域由上而下分別為估值、條件約束及求解器。

估值會導致方程式系統只有一種解。您可以變更一或兩個估值取得不同的解，但是求解器會覆寫目前的解。

2. 插入下列新的解題指令群。指定條件約束，然後將求解器定義為含有兩個未知數 x 與 y 的函數，但是不要定義估值：

按一下以複製此運算式

<region id="ID0E2JRTB" top="600" left="48" xml:lang="zh_TW" height="169.840966696618" width="251.487709992416" xmlns="http://schemas.mathsoft.com/worksheet50">
  <solveblock xml:lang="zh_TW">
    <regions xml:lang="zh_TW">
      <region id="" top="48" left="24" xml:lang="zh_TW" solve-block-category="constraint">
        <math xml:lang="zh_TW" disable-calc="false">
          <apply xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
            <equal xml:lang="zh_TW" />
            <apply xml:lang="zh_TW">
              <plus xml:lang="zh_TW" />
              <apply xml:lang="zh_TW">
                <pow xml:lang="zh_TW" />
                <id xml:lang="zh_TW">x</id>
                <real xml:lang="zh_TW">2</real>
              </apply>
              <apply xml:lang="zh_TW">
                <mult xml:lang="zh_TW" />
                <apply xml:lang="zh_TW">
                  <scale xml:lang="zh_TW" />
                  <real xml:lang="zh_TW">3</real>
                  <id xml:lang="zh_TW">y</id>
                </apply>
                <apply xml:lang="zh_TW">
                  <id xml:lang="zh_TW">sin</id>
                  <id xml:lang="zh_TW">x</id>
                </apply>
              </apply>
            </apply>
            <real xml:lang="zh_TW">2</real>
          </apply>
        </math>
      </region>
      <region id="" top="72" left="24" xml:lang="zh_TW" solve-block-category="constraint">
        <math xml:lang="zh_TW" disable-calc="false">
          <apply xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
            <equal xml:lang="zh_TW" />
            <apply xml:lang="zh_TW">
              <plus xml:lang="zh_TW" />
              <id xml:lang="zh_TW">x</id>
              <apply xml:lang="zh_TW">
                <scale xml:lang="zh_TW" />
                <real xml:lang="zh_TW">6</real>
                <apply xml:lang="zh_TW">
                  <pow xml:lang="zh_TW" />
                  <id xml:lang="zh_TW">y</id>
                  <real xml:lang="zh_TW">2</real>
                </apply>
              </apply>
            </apply>
            <real xml:lang="zh_TW">8</real>
          </apply>
        </math>
      </region>
      <region id="" top="120" left="24" xml:lang="zh_TW" solve-block-category="solver">
        <math xml:lang="zh_TW" disable-calc="false">
          <define xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
            <function xml:lang="zh_TW">
              <id xml:lang="zh_TW" label="Variable">sol</id>
              <boundVars xml:lang="zh_TW">
                <id xml:lang="zh_TW" label="Variable">x</id>
                <id xml:lang="zh_TW" label="Variable">y</id>
              </boundVars>
            </function>
            <apply xml:lang="zh_TW">
              <id xml:lang="zh_TW" label="Keyword">尋找</id>
              <sequence xml:lang="zh_TW">
                <id xml:lang="zh_TW">x</id>
                <id xml:lang="zh_TW">y</id>
              </sequence>
            </apply>
          </define>
        </math>
      </region>
    </regions>
  </solveblock>
</region>

3. 確定傳遞相同估值時，可取得與之前相同的解：

按一下以複製此運算式

<region id="ID0EQLRTB" top="912" left="48" xml:lang="zh_TW" height="192.068965517241" width="309.655172413793" xmlns="http://schemas.mathsoft.com/worksheet50">
  <solveblock xml:lang="zh_TW">
    <regions xml:lang="zh_TW">
      <region id="" top="48" left="24" xml:lang="zh_TW" solve-block-category="constraint">
        <math xml:lang="zh_TW" disable-calc="false">
          <apply xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
            <equal xml:lang="zh_TW" />
            <apply xml:lang="zh_TW">
              <plus xml:lang="zh_TW" />
              <apply xml:lang="zh_TW">
                <pow xml:lang="zh_TW" />
                <id xml:lang="zh_TW">x</id>
                <real xml:lang="zh_TW">2</real>
              </apply>
              <apply xml:lang="zh_TW">
                <mult xml:lang="zh_TW" />
                <apply xml:lang="zh_TW">
                  <scale xml:lang="zh_TW" />
                  <real xml:lang="zh_TW">3</real>
                  <id xml:lang="zh_TW">y</id>
                </apply>
                <apply xml:lang="zh_TW">
                  <id xml:lang="zh_TW">sin</id>
                  <id xml:lang="zh_TW">x</id>
                </apply>
              </apply>
            </apply>
            <real xml:lang="zh_TW">2</real>
          </apply>
        </math>
      </region>
      <region id="" top="72" left="24" xml:lang="zh_TW" solve-block-category="constraint">
        <math xml:lang="zh_TW" disable-calc="false">
          <apply xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
            <equal xml:lang="zh_TW" />
            <apply xml:lang="zh_TW">
              <plus xml:lang="zh_TW" />
              <id xml:lang="zh_TW">x</id>
              <apply xml:lang="zh_TW">
                <scale xml:lang="zh_TW" />
                <real xml:lang="zh_TW">6</real>
                <apply xml:lang="zh_TW">
                  <pow xml:lang="zh_TW" />
                  <id xml:lang="zh_TW">y</id>
                  <real xml:lang="zh_TW">2</real>
                </apply>
              </apply>
            </apply>
            <real xml:lang="zh_TW">8</real>
          </apply>
        </math>
      </region>
      <region id="" top="120" left="24" xml:lang="zh_TW" solve-block-category="solver">
        <math xml:lang="zh_TW" disable-calc="false">
          <define xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
            <function xml:lang="zh_TW">
              <id xml:lang="zh_TW" label="Variable">sol</id>
              <boundVars xml:lang="zh_TW">
                <id xml:lang="zh_TW" label="Variable">x</id>
                <id xml:lang="zh_TW" label="Variable">y</id>
              </boundVars>
            </function>
            <apply xml:lang="zh_TW">
              <id xml:lang="zh_TW" label="Keyword">尋找</id>
              <sequence xml:lang="zh_TW">
                <id xml:lang="zh_TW">x</id>
                <id xml:lang="zh_TW">y</id>
              </sequence>
            </apply>
          </define>
        </math>
      </region>
      <region id="" top="168" left="24" xml:lang="zh_TW">
        <math resultRef="7" xml:lang="zh_TW" disable-calc="false">
          <eval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
            <apply xml:lang="zh_TW">
              <id xml:lang="zh_TW">sol</id>
              <sequence xml:lang="zh_TW">
                <real xml:lang="zh_TW">1</real>
                <real xml:lang="zh_TW">1</real>
              </sequence>
            </apply>
            <unitOverride xml:lang="zh_TW">
              <placeholder xml:lang="zh_TW" />
            </unitOverride>
          </eval>
        </math>
      </region>
    </regions>
  </solveblock>
</region>

4. 嘗試傳遞其他估值然後觀察解會如何變化：

按一下以複製此運算式

<region id="ID0EFNRTB" top="1176" left="48" xml:lang="zh_TW" height="347.70675862069" width="306.4" xmlns="http://schemas.mathsoft.com/worksheet50">
  <solveblock xml:lang="zh_TW">
    <regions xml:lang="zh_TW">
      <region id="" top="48" left="24" xml:lang="zh_TW" solve-block-category="constraint">
        <math xml:lang="zh_TW" disable-calc="false">
          <apply xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
            <equal xml:lang="zh_TW" />
            <apply xml:lang="zh_TW">
              <plus xml:lang="zh_TW" />
              <apply xml:lang="zh_TW">
                <pow xml:lang="zh_TW" />
                <id xml:lang="zh_TW">x</id>
                <real xml:lang="zh_TW">2</real>
              </apply>
              <apply xml:lang="zh_TW">
                <mult xml:lang="zh_TW" />
                <apply xml:lang="zh_TW">
                  <scale xml:lang="zh_TW" />
                  <real xml:lang="zh_TW">3</real>
                  <id xml:lang="zh_TW">y</id>
                </apply>
                <apply xml:lang="zh_TW">
                  <id xml:lang="zh_TW">sin</id>
                  <id xml:lang="zh_TW">x</id>
                </apply>
              </apply>
            </apply>
            <real xml:lang="zh_TW">2</real>
          </apply>
        </math>
      </region>
      <region id="" top="72" left="24" xml:lang="zh_TW" solve-block-category="constraint">
        <math xml:lang="zh_TW" disable-calc="false">
          <apply xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
            <equal xml:lang="zh_TW" />
            <apply xml:lang="zh_TW">
              <plus xml:lang="zh_TW" />
              <id xml:lang="zh_TW">x</id>
              <apply xml:lang="zh_TW">
                <scale xml:lang="zh_TW" />
                <real xml:lang="zh_TW">6</real>
                <apply xml:lang="zh_TW">
                  <pow xml:lang="zh_TW" />
                  <id xml:lang="zh_TW">y</id>
                  <real xml:lang="zh_TW">2</real>
                </apply>
              </apply>
            </apply>
            <real xml:lang="zh_TW">8</real>
          </apply>
        </math>
      </region>
      <region id="" top="120" left="24" xml:lang="zh_TW" solve-block-category="solver">
        <math xml:lang="zh_TW" disable-calc="false">
          <define xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
            <function xml:lang="zh_TW">
              <id xml:lang="zh_TW" label="Variable">sol</id>
              <boundVars xml:lang="zh_TW">
                <id xml:lang="zh_TW" label="Variable">x</id>
                <id xml:lang="zh_TW" label="Variable">y</id>
              </boundVars>
            </function>
            <apply xml:lang="zh_TW">
              <id xml:lang="zh_TW" label="Keyword">尋找</id>
              <sequence xml:lang="zh_TW">
                <id xml:lang="zh_TW">x</id>
                <id xml:lang="zh_TW">y</id>
              </sequence>
            </apply>
          </define>
        </math>
      </region>
      <region id="" top="168" left="24" xml:lang="zh_TW">
        <math resultRef="8" xml:lang="zh_TW" disable-calc="false">
          <eval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
            <apply xml:lang="zh_TW">
              <id xml:lang="zh_TW">sol</id>
              <sequence xml:lang="zh_TW">
                <real xml:lang="zh_TW">3</real>
                <real xml:lang="zh_TW">4</real>
              </sequence>
            </apply>
            <unitOverride xml:lang="zh_TW">
              <placeholder xml:lang="zh_TW" />
            </unitOverride>
          </eval>
        </math>
      </region>
      <region id="" top="216" left="24" xml:lang="zh_TW">
        <math resultRef="9" xml:lang="zh_TW" disable-calc="false">
          <eval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
            <apply xml:lang="zh_TW">
              <id xml:lang="zh_TW">sol</id>
              <sequence xml:lang="zh_TW">
                <real xml:lang="zh_TW">20</real>
                <real xml:lang="zh_TW">-3</real>
              </sequence>
            </apply>
            <unitOverride xml:lang="zh_TW">
              <placeholder xml:lang="zh_TW" />
            </unitOverride>
          </eval>
        </math>
      </region>
      <region id="" top="264" left="24" xml:lang="zh_TW">
        <math resultRef="10" xml:lang="zh_TW" disable-calc="false">
          <eval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
            <apply xml:lang="zh_TW">
              <id xml:lang="zh_TW">sol</id>
              <sequence xml:lang="zh_TW">
                <real xml:lang="zh_TW">-3</real>
                <real xml:lang="zh_TW">25</real>
              </sequence>
            </apply>
            <unitOverride xml:lang="zh_TW">
              <placeholder xml:lang="zh_TW" />
            </unitOverride>
          </eval>
        </math>
      </region>
      <region id="" top="312" left="24" xml:lang="zh_TW">
        <math resultRef="11" xml:lang="zh_TW" disable-calc="false">
          <eval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50">
            <apply xml:lang="zh_TW">
              <id xml:lang="zh_TW">sol</id>
              <sequence xml:lang="zh_TW">
                <real xml:lang="zh_TW">100</real>
                <real xml:lang="zh_TW">100</real>
              </sequence>
            </apply>
            <unitOverride xml:lang="zh_TW">
              <placeholder xml:lang="zh_TW" />
            </unitOverride>
          </eval>
        </math>
      </region>
    </regions>
  </solveblock>
</region>

此方法可讓您在一個解題指令群中檢視多種結果，並選擇最適用於問題的估值。