符號
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符號計算
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以符號結果定義函數
以符號結果定義函數
1.
以符號方式計算運算式。
<region id="ID0EGA3TB" actualWidth="245.88" actualHeight="39.2" top="19.200000000000003" left="0" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="8" xml:lang="zh_TW"> <symEval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="zh_TW"> <plus xml:lang="zh_TW" /> <apply xml:lang="zh_TW"> <plus 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:space="preserve" xml:lang="zh_TW">x</id> <real xml:lang="zh_TW">2</real> </apply> <apply xml:lang="zh_TW"> <mult xml:lang="zh_TW" /> <real xml:lang="zh_TW">3</real> <id xml:space="preserve" xml:lang="zh_TW">x</id> </apply> </apply> <apply xml:lang="zh_TW"> <mult xml:lang="zh_TW" /> <real xml:lang="zh_TW">2</real> <apply xml:lang="zh_TW"> <pow xml:lang="zh_TW" /> <id xml:space="preserve" xml:lang="zh_TW">x</id> <real xml:lang="zh_TW">2</real> </apply> </apply> </apply> <apply xml:lang="zh_TW"> <scale xml:lang="zh_TW" /> <real xml:lang="zh_TW">5</real> <id xml:space="preserve" xml:lang="zh_TW">x</id> </apply> </apply> <command xml:lang="zh_TW"> <placeholder xml:lang="zh_TW" /> </command> <symResult xml:lang="zh_TW"> <apply xml:lang="zh_TW"> <plus xml:lang="zh_TW" /> <apply xml:lang="zh_TW"> <mult xml:lang="zh_TW" /> <real xml:lang="zh_TW">3</real> <apply xml:lang="zh_TW"> <pow xml:lang="zh_TW" /> <id labels="*" xml:space="preserve" xml:lang="zh_TW">x</id> <real xml:lang="zh_TW">2</real> </apply> </apply> <apply xml:lang="zh_TW"> <mult xml:lang="zh_TW" /> <real xml:lang="zh_TW">8</real> <id labels="*" xml:space="preserve" xml:lang="zh_TW">x</id> </apply> </apply> </symResult> </symEval> <resultFormat xml:lang="zh_TW"> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" /> </resultFormat> </math> </region>
2.
將符號運算式指派給函數
f(x)
。
<region id="ID0EAC3TB" actualWidth="292.62" actualHeight="39.2" top="76.800000000000011" left="0" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="9" xml:lang="zh_TW"> <define xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <function xml:lang="zh_TW"> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW">f</id> <boundVars xml:lang="zh_TW"> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW">x</id> </boundVars> </function> <symEval xml:lang="zh_TW"> <apply xml:lang="zh_TW"> <plus xml:lang="zh_TW" /> <apply xml:lang="zh_TW"> <plus 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:space="preserve" xml:lang="zh_TW">x</id> <real xml:lang="zh_TW">2</real> </apply> <apply xml:lang="zh_TW"> <mult xml:lang="zh_TW" /> <real xml:lang="zh_TW">3</real> <id xml:space="preserve" xml:lang="zh_TW">x</id> </apply> </apply> <apply xml:lang="zh_TW"> <mult xml:lang="zh_TW" /> <real xml:lang="zh_TW">2</real> <apply xml:lang="zh_TW"> <pow xml:lang="zh_TW" /> <id xml:space="preserve" xml:lang="zh_TW">x</id> <real xml:lang="zh_TW">2</real> </apply> </apply> </apply> <apply xml:lang="zh_TW"> <scale xml:lang="zh_TW" /> <real xml:lang="zh_TW">5</real> <id xml:space="preserve" xml:lang="zh_TW">x</id> </apply> </apply> <command xml:lang="zh_TW"> <placeholder xml:lang="zh_TW" /> </command> <symResult xml:lang="zh_TW"> <apply xml:lang="zh_TW"> <plus xml:lang="zh_TW" /> <apply xml:lang="zh_TW"> <mult xml:lang="zh_TW" /> <real xml:lang="zh_TW">3</real> <apply xml:lang="zh_TW"> <pow xml:lang="zh_TW" /> <id labels="*" xml:space="preserve" xml:lang="zh_TW">x</id> <real xml:lang="zh_TW">2</real> </apply> </apply> <apply xml:lang="zh_TW"> <mult xml:lang="zh_TW" /> <real xml:lang="zh_TW">8</real> <id labels="*" xml:space="preserve" xml:lang="zh_TW">x</id> </apply> </apply> </symResult> </symEval> </define> <resultFormat xml:lang="zh_TW"> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" /> </resultFormat> </math> </region>
3.
以符號方式計算函數
f(x)
。
<region id="ID0E1D3TB" actualWidth="133.51666666666668" actualHeight="39.2" top="134.40000000000003" left="0" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="10" xml:lang="zh_TW"> <symEval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="zh_TW"> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">f</id> <id xml:space="preserve" xml:lang="zh_TW">x</id> </apply> <command xml:lang="zh_TW"> <placeholder xml:lang="zh_TW" /> </command> <symResult xml:lang="zh_TW"> <apply xml:lang="zh_TW"> <plus xml:lang="zh_TW" /> <apply xml:lang="zh_TW"> <mult xml:lang="zh_TW" /> <real xml:lang="zh_TW">3</real> <apply xml:lang="zh_TW"> <pow xml:lang="zh_TW" /> <id labels="*" xml:space="preserve" xml:lang="zh_TW">x</id> <real xml:lang="zh_TW">2</real> </apply> </apply> <apply xml:lang="zh_TW"> <mult xml:lang="zh_TW" /> <real xml:lang="zh_TW">8</real> <id labels="*" xml:space="preserve" xml:lang="zh_TW">x</id> </apply> </apply> </symResult> </symEval> <resultFormat xml:lang="zh_TW"> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" /> </resultFormat> </math> </region>
4.
以數值方式計算函數
f(x)
。
<region id="ID0EUF3TB" actualWidth="77.62" actualHeight="25.6" top="192.00000000000003" left="0" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="11" xml:lang="zh_TW"> <eval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="zh_TW"> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW" label-is-contextual="true">f</id> <real xml:lang="zh_TW">2</real> </apply> <unitOverride xml:lang="zh_TW"> <placeholder xml:lang="zh_TW" /> </unitOverride> </eval> <resultFormat xml:lang="zh_TW"> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" /> </resultFormat> </math> </region>
其他資訊
當您使用符號計算的輸出定義函數時，會略過您先前定義的變數。
1.
以符號方式計算運算式。
<region id="ID0E4H3TB" actualWidth="163.06933364629748" actualHeight="56.690667054653176" top="288.00000000000006" left="0" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="12" xml:lang="zh_TW"> <symEval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="zh_TW"> <minus xml:lang="zh_TW" /> <apply xml:lang="zh_TW"> <pow xml:lang="zh_TW" /> <id xml:space="preserve" xml:lang="zh_TW">y</id> <real xml:lang="zh_TW">2</real> </apply> <real xml:lang="zh_TW">5</real> </apply> <command xml:lang="zh_TW"> <sequence xml:lang="zh_TW"> <id xml:space="preserve" xml:lang="zh_TW">solve</id> <id xml:space="preserve" xml:lang="zh_TW">y</id> </sequence> </command> <symResult xml:lang="zh_TW"> <matrix rows="2" cols="1" xml:lang="zh_TW"> <apply xml:lang="zh_TW"> <nthRoot xml:lang="zh_TW" /> <placeholder xml:lang="zh_TW" /> <real xml:lang="zh_TW">5</real> </apply> <apply xml:lang="zh_TW"> <neg xml:lang="zh_TW" /> <apply xml:lang="zh_TW"> <nthRoot xml:lang="zh_TW" /> <placeholder xml:lang="zh_TW" /> <real xml:lang="zh_TW">5</real> </apply> </apply> </matrix> </symResult> </symEval> <resultFormat xml:lang="zh_TW"> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" /> </resultFormat> </math> </region>
2.
將數值指派給
y
。
<region id="ID0EXJ3TB" actualWidth="41.156666666666666" actualHeight="25.6" top="345.6" left="0" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="13" xml:lang="zh_TW"> <define xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW">y</id> <real xml:lang="zh_TW">2</real> </define> <resultFormat xml:lang="zh_TW"> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" /> </resultFormat> </math> </region>
3.
以符號方式重新計算運算式。
<region id="ID0EML3TB" actualWidth="122.11666666666669" actualHeight="39.2" top="403.20000000000005" left="0" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="14" xml:lang="zh_TW"> <symEval xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <apply xml:lang="zh_TW"> <minus xml:lang="zh_TW" /> <apply xml:lang="zh_TW"> <pow xml:lang="zh_TW" /> <id xml:space="preserve" xml:lang="zh_TW">y</id> <real xml:lang="zh_TW">2</real> </apply> <real xml:lang="zh_TW">5</real> </apply> <command xml:lang="zh_TW"> <sequence xml:lang="zh_TW"> <id xml:space="preserve" xml:lang="zh_TW">solve</id> <id xml:space="preserve" xml:lang="zh_TW">y</id> </sequence> </command> </symEval> <resultFormat xml:lang="zh_TW"> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" /> </resultFormat> </math> </region>
計算失敗，因為輸入運算式沒有要求解的變數。
4.
將符號運算式指派給函數
f(y)
，並以符號方式計算。
<region id="ID0ELN3TB" actualWidth="209.61933364629749" actualHeight="56.690667054653176" top="460.80000000000007" left="0" xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/worksheet50"> <math resultRef="15" xml:lang="zh_TW"> <define xml:lang="zh_TW" xmlns="http://schemas.mathsoft.com/math50"> <function xml:lang="zh_TW"> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW">f</id> <boundVars xml:lang="zh_TW"> <id labels="VARIABLE" xml:space="preserve" xml:lang="zh_TW">y</id> </boundVars> </function> <symEval xml:lang="zh_TW"> <apply xml:lang="zh_TW"> <minus xml:lang="zh_TW" /> <apply xml:lang="zh_TW"> <pow xml:lang="zh_TW" /> <id xml:space="preserve" xml:lang="zh_TW">y</id> <real xml:lang="zh_TW">2</real> </apply> <real xml:lang="zh_TW">5</real> </apply> <command xml:lang="zh_TW"> <sequence xml:lang="zh_TW"> <id xml:space="preserve" xml:lang="zh_TW">solve</id> <id xml:space="preserve" xml:lang="zh_TW">y</id> </sequence> </command> <symResult xml:lang="zh_TW"> <matrix rows="2" cols="1" xml:lang="zh_TW"> <apply xml:lang="zh_TW"> <nthRoot xml:lang="zh_TW" /> <placeholder xml:lang="zh_TW" /> <real xml:lang="zh_TW">5</real> </apply> <apply xml:lang="zh_TW"> <neg xml:lang="zh_TW" /> <apply xml:lang="zh_TW"> <nthRoot xml:lang="zh_TW" /> <placeholder xml:lang="zh_TW" /> <real xml:lang="zh_TW">5</real> </apply> </apply> </matrix> </symResult> </symEval> </define> <resultFormat xml:lang="zh_TW"> <matrix size="12,12" offset="0,0" show-indices="false" expand-nested-arrays="false" xml:lang="zh_TW" /> </resultFormat> </math> </region>
計算會通過，因為會略過指派
y:=2
。
複製運算式
