基于分段函数的香港薪俸税计算模型
2016-02-26 12:28
本范例提供了一个交互式的香港薪俸税计算模型。通过输入应课税入息,利用条件语句构建分段线性函数,自动计算各级别的税款并汇总得出总薪俸税。界面包含多个输入框和文本表格,直观展示计算过程与结果。该模型将实际生活中的税务问题转化为数学中的分段函数与线性方程应用,适合用于代数教学、函数理解以及数学建模实践。
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<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isLaTeX val="true"/>
<font serif="true" sizeM="1.4" size="8" style="0"/>
<startPoint x="10.068750000000007" y="6.921255378906947" z="1"/>
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<expression label="text3" exp=""\blue{" + (LaTeX[m3]) + "}×\red{" + (LaTeX[r3']) + "%} = \$\;" + (LaTeX[tax3]) + """ />
<element type="text" label="text3">
<show object="true" label="true" ev="8"/>
<condition showObject="m3 > 0"/>
<objColor r="0" g="0" b="0" alpha="0"/>
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<isLaTeX val="true"/>
<font serif="true" sizeM="1.4" size="8" style="0"/>
<startPoint x="10.066666666666675" y="5.426378760940323" z="1"/>
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<expression label="text4" exp=""\blue{" + (LaTeX[m4]) + "}×\red{" + (LaTeX[r4']) + "%} = \$\;" + (LaTeX[tax4]) + """ />
<element type="text" label="text4">
<show object="true" label="true" ev="8"/>
<condition showObject="m4 > 0"/>
<objColor r="0" g="0" b="0" alpha="0"/>
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<isLaTeX val="true"/>
<font serif="true" sizeM="1.4" size="8" style="0"/>
<startPoint x="10.06875000000001" y="3.93177269877261" z="1"/>
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<expression label="textTax" exp=""" + (LaTeX[If[m2 > 0, "=" + (Text[tax1]) + "+" + (Text[tax2]), ""]]) + "" + (LaTeX[If[m3 > 0, "+" + (Text[tax3]), ""]]) + "" + (LaTeX[If[m4 > 0, "+" + (Text[tax4]), ""]]) + "\\
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<element type="text" label="textTax">
<show object="true" label="true" ev="8"/>
<condition showObject="showTax"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isLaTeX val="true"/>
<font serif="true" sizeM="1.6" size="12" style="0"/>
<startPoint x="5.077083333333336" y="0.9162479493588185" z="1"/>
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<element type="button" label="button1">
<show object="true" label="true"/>
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<labelOffset x="261" y="73"/>
<labelMode val="3"/>
<animation step="1" speed="1" type="0" playing="false"/>
<auxiliary val="true"/>
<ggbscript val="SetValue[in_0,in_0+10000]"/>
<caption val="+10000"/>
<font serif="false" sizeM="2" size="20" style="0"/>
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<element type="button" label="button2">
<show object="true" label="true"/>
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<auxiliary val="true"/>
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<caption val="-10000"/>
<font serif="false" sizeM="2" size="20" style="0"/>
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<element type="button" label="button0">
<show object="true" label="true"/>
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<bgColor r="255" g="255" b="255" alpha="255"/>
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<labelMode val="3"/>
<animation step="1" speed="1" type="0" playing="false"/>
<auxiliary val="true"/>
<ggbscript val="SetValue[lang,If[lang==1,2,1]]
RunClickScript[buttonLang]
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<caption val="中文"/>
<font serif="false" sizeM="1.4" size="8" style="0"/>
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<element type="button" label="buttonLang">
<show object="false" label="true"/>
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<bgColor r="255" g="255" b="255" alpha="255"/>
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<animation step="1" speed="1" type="0" playing="false"/>
<auxiliary val="true"/>
<ggbscript val="SetCaption[button0,If[lang==1,"ENG","中文"]]
SetCaption[InputBox1,If[lang==1,"年入息 $","Income $"]]
SetCaption[InputBox2,If[lang==1,"減:免稅額 $","Less: Allowances $"]]
SetCaption[InputBox3,If[lang==1,"減:扣除 $","Less: Deductions $"]]
SetCaption[edit,If[lang==1,"修改稅率","Edit tax rates"]]
SetCaption[showTax,If[lang==1,"應繳稅款","Tax payable"]]
SetCaption[InputBoxL1,If[lang==1,"最初的:","On the First: $"]]
SetCaption[InputBoxL2,If[lang==1,"其次的:","On the Next: $"]]
SetCaption[InputBoxL3,If[lang==1,"其次的:","On the Next: $"]]"/>
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<expression label="textIn" exp=""\text{" + (LaTeX[If[lang ≟ 1, "應課稅入息實額", "Net Chargeable Income"]]) + "} = \$\;" + (LaTeX[in]) + """ />
<element type="text" label="textIn">
<show object="true" label="true" ev="8"/>
<objColor r="0" g="0" b="255" alpha="0"/>
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<startPoint x="-0.42916666666666714" y="9.93130888883162" z="1"/>
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<element type="button" label="button3">
<show object="true" label="true"/>
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<bgColor r="255" g="255" b="0" alpha="255"/>
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<animation step="1" speed="1" type="0" playing="false"/>
<auxiliary val="true"/>
<ggbscript val="SetValue[in_0,If[in_0<1000,0,in_0-1000]]"/>
<caption val="-1000"/>
<font serif="false" sizeM="2" size="20" style="0"/>
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<element type="button" label="button4">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<bgColor r="255" g="255" b="0" alpha="255"/>
<layer val="3"/>
<labelOffset x="261" y="130"/>
<labelMode val="3"/>
<animation step="1" speed="1" type="0" playing="false"/>
<auxiliary val="true"/>
<ggbscript val="SetValue[in_0,in_0+1000]"/>
<caption val="+1000"/>
<font serif="false" sizeM="2" size="20" style="0"/>
</element>
<expression label="textResidue" exp=""" + (LaTeX[If[lang ≟ 1, " 餘額:", "Remainder:"]]) + """ />
<element type="text" label="textResidue">
<show object="true" label="true" ev="8"/>
<condition showObject="edit"/>
<objColor r="0" g="100" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<font serif="false" sizeM="1.4" size="8" style="0"/>
<startPoint x="2.560416666666672" y="3.1819466275004826" z="1"/>
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<expression label="text5" exp=""e.g. Basic Allowance, Married Person’s Allowance, Child Allowance,
Dependent Brother/ Sister/ Parent/ Grandparent Allowance,
Single Parent Allowance, Disabled Dependant Allowance""/>
<element type="text" label="text5">
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<condition showObject="lang ≠ 1"/>
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<startPoint x="8.558333333333339" y="13.46095063859757" z="1"/>
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<expression label="text6" exp=""e.g. Expenses of Self-Education, Elderly Residential Care Expenses, Home Loan Interest,
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<element type="text" label="text6">
<show object="true" label="false" ev="40"/>
<condition showObject="lang ≠ 1"/>
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