Finding Quantities Based on Percentages (2): Example 1
2014-02-20 03:08
This applet demonstrates how to find specific quantities based on given percentages. Through interactive input boxes and text displays, users can intuitively understand the arithmetic relationships between percentages, wholes, and parts. Additionally, the applet incorporates geometric polygon constructions and sequences to visually represent proportional relationships, helping learners better gras
Loading the GeoGebra board and drawing, please wait…
<?xml version="1.0" encoding="utf-8"?>
<geogebra format="4.2" version="4.2.27.0" id="5f1187aa-c2d7-44ea-9cae-c3816fe0acc4" xsi:noNamespaceSchemaLocation="http://www.geogebra.org/ggb.xsd" xmlns="" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" >
<gui>
<window width="1024" height="734" />
<perspectives>
<perspective id="tmp">
<panes>
<pane location="" divider="0.328125" orientation="1" />
</panes>
<views>
<view id="4" toolbar="0 || 2020 , 2021 , 2022 , 66 || 2001 , 2003 , 2002 , 2004 , 2005 || 2040 , 2041 , 2042 , 2044 , 2043" visible="false" inframe="false" stylebar="false" location="1,0" size="400" window="747,253,364,423" />
<view id="1" visible="true" inframe="false" stylebar="true" location="1" size="1006" window="558,188,465,548" />
<view id="2" visible="false" inframe="false" stylebar="true" location="3" size="336" window="18,196,250,400" />
<view id="8" visible="false" inframe="false" stylebar="false" location="1" size="150" window="50,50,500,500" />
<view id="16" visible="false" inframe="false" stylebar="false" location="1" size="239" window="497,141,588,675" />
<view id="32" visible="false" inframe="true" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="64" visible="false" inframe="true" stylebar="false" location="1" size="150" window="50,50,500,500" />
<view id="4097" visible="false" inframe="true" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="70" visible="false" inframe="true" stylebar="true" location="1" size="150" window="50,50,500,500" />
</views>
<toolbar show="true" items="0 39 59 || 1 501 67 , 5 19 , 72 | 2 15 45 , 18 65 , 7 37 | 4 3 8 9 , 13 44 , 58 , 47 || 16 51 64 , 70 | 10 34 53 11 , 24 20 22 , 21 23 | 55 56 57 , 12 || 36 46 , 38 49 50 , 71 | 30 29 54 32 31 33 | 17 26 62 , 14 66 68 | 25 52 60 61 || 40 41 42 , 27 28 35 , 6" position="1" help="true" />
<input show="true" cmd="true" top="false" />
<dockBar show="false" east="false" />
</perspective>
</perspectives>
<labelingStyle val="2"/>
<font size="18"/>
<graphicsSettings javaLatexFonts="false"/>
</gui>
<euclidianView>
<size width="1006" height="544"/>
<coordSystem xZero="41.332425622151746" yZero="293.888355198673" scale="56.06960167031556" yscale="57.00642222016168"/>
<evSettings axes="false" grid="false" gridIsBold="false" pointCapturing="3" rightAngleStyle="1" checkboxSize="13" gridType="0"/>
<bgColor r="255" g="255" b="255"/>
<axesColor r="0" g="0" b="0"/>
<gridColor r="192" g="192" b="192"/>
<lineStyle axes="1" grid="10"/>
<axis id="0" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true" tickDistance="1.0"/>
<axis id="1" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true" tickDistance="1.0"/>
<grid distX="1.0" distY="1.0" distTheta="0.5235987755982988"/>
</euclidianView>
<kernel>
<continuous val="false"/>
<usePathAndRegionParameters val="true"/>
<decimals val="3"/>
<angleUnit val="degree"/>
<algebraStyle val="0"/>
<coordStyle val="0"/>
<angleFromInvTrig val="false"/>
</kernel>
<scripting blocked="false" disabled="false"/>
<construction title="" author="Education Infrastructure Division, Education Bureau" date="">
<element type="point" label="E">
<show object="false" label="false"/>
<objColor r="255" g="51" b="51" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="-20" y="-13"/>
<labelMode val="3"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="0.0" y="2.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
<caption val="0%"/>
</element>
<expression label="F" exp="E - (0, 1)" type="point" />
<element type="point" label="F">
<show object="false" label="true"/>
<objColor r="0" g="0" b="255" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="-19" y="57"/>
<labelMode val="3"/>
<coords x="0.0" y="1.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
<caption val="0%"/>
</element>
<command name="Point">
<input a0="Sequence[F + (0.1 * i, 0), i, 0, 200]"/>
<output a0="I"/>
</command>
<element type="point" label="I">
<show object="true" label="false"/>
<objColor r="0" g="51" b="255" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="73" y="32"/>
<labelMode val="2"/>
<animation step="1" speed="1" type="1" playing="false"/>
<ggbscript onUpdate="SetValue[J,(x(I),y(J))]"/>
<coords x="5.2" y="1.0" z="1.0"/>
<pointSize val="7"/>
<pointStyle val="0"/>
</element>
<expression label="H" exp="E + (10, 0)" type="point" />
<element type="point" label="H">
<show object="false" label="false"/>
<objColor r="255" g="51" b="51" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="-32" y="-13"/>
<labelMode val="3"/>
<coords x="10.0" y="2.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
<caption val="100%"/>
</element>
<expression label="G" exp="E + (10, -1)" type="point" />
<element type="point" label="G">
<show object="false" label="true"/>
<objColor r="51" g="51" b="255" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="-24" y="55"/>
<labelMode val="3"/>
<coords x="10.0" y="1.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
<caption val="100%"/>
</element>
<command name="Polygon">
<input a0="E" a1="F" a2="G" a3="H"/>
<output a0="poly2" a1="e" a2="f" a3="g" a4="h"/>
</command>
<element type="polygon" label="poly2">
<lineStyle thickness="9" type="0" typeHidden="1"/>
<show object="true" label="false"/>
<objColor r="255" g="51" b="51" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
</element>
<element type="segment" label="e">
<show object="true" label="false"/>
<objColor r="255" g="51" b="51" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<coords x="1.0" y="0.0" z="0.0"/>
<lineStyle thickness="9" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="f">
<show object="true" label="false"/>
<objColor r="255" g="51" b="51" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<coords x="0.0" y="10.0" z="-10.0"/>
<lineStyle thickness="9" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="g">
<show object="true" label="false"/>
<condition showObject="percent < 100"/>
<objColor r="255" g="51" b="51" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<coords x="-1.0" y="0.0" z="10.0"/>
<lineStyle thickness="9" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="h">
<show object="true" label="false"/>
<objColor r="255" g="51" b="51" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<coords x="0.0" y="-10.0" z="20.0"/>
<lineStyle thickness="9" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="point" label="A">
<show object="true" label="true"/>
<objColor r="0" g="0" b="255" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="-13" y="-6"/>
<labelMode val="3"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="0.0" y="0.0" z="1.0"/>
<pointSize val="1"/>
<pointStyle val="0"/>
<caption val="0%"/>
</element>
<element type="point" label="B">
<show object="true" label="true"/>
<objColor r="0" g="0" b="255" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="-25" y="-5"/>
<labelMode val="3"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="10.017834975997866" y="0.0" z="1.0"/>
<pointSize val="1"/>
<pointStyle val="0"/>
<caption val="100%"/>
</element>
<element type="point" label="C">
<show object="false" label="false"/>
<objColor r="0" g="0" b="255" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="10.0" y="-1.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<element type="point" label="D">
<show object="false" label="false"/>
<objColor r="0" g="0" b="255" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="0.0" y="-1.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Polygon">
<input a0="A" a1="B" a2="C" a3="D"/>
<output a0="poly1" a1="a" a2="b" a3="c" a4="d"/>
</command>
<element type="polygon" label="poly1">
<lineStyle thickness="9" type="0" typeHidden="1"/>
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.15"/>
<layer val="0"/>
<labelMode val="0"/>
</element>
<element type="segment" label="a">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="1"/>
<labelMode val="0"/>
<fixed val="true"/>
<coords x="0.0" y="10.017834975997866" z="0.0"/>
<lineStyle thickness="9" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="b">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="1"/>
<labelMode val="0"/>
<fixed val="true"/>
<coords x="1.0" y="-0.01783497599786621" z="-10.017834975997866"/>
<lineStyle thickness="9" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="c">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="1"/>
<labelMode val="0"/>
<fixed val="true"/>
<coords x="0.0" y="-10.0" z="-10.0"/>
<lineStyle thickness="9" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="d">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="1"/>
<labelMode val="0"/>
<fixed val="true"/>
<coords x="-1.0" y="0.0" z="0.0"/>
<lineStyle thickness="9" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<expression label="J" exp="I + (0, 1)" type="point" />
<element type="point" label="J">
<show object="false" label="false"/>
<objColor r="0" g="0" b="255" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<ggbscript onUpdate="SetValue[I,(x(J),y(I))]"/>
<coords x="5.2" y="2.0" z="1.0"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<command name="Polygon">
<input a0="E" a1="J" a2="I" a3="F"/>
<output a0="poly3" a1="e_1" a2="j" a3="i" a4="f_1"/>
</command>
<element type="polygon" label="poly3">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false"/>
<objColor r="255" g="51" b="51" alpha="0.5"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
</element>
<element type="segment" label="e_1">
<show object="true" label="false"/>
<objColor r="255" g="51" b="51" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<coords x="0.0" y="5.2" z="-10.4"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="j">
<show object="true" label="false"/>
<objColor r="255" g="51" b="51" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<coords x="1.0" y="0.0" z="-5.2"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="i">
<show object="true" label="false"/>
<objColor r="255" g="51" b="51" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<coords x="0.0" y="-5.2" z="5.2"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="f_1">
<show object="false" label="false"/>
<objColor r="255" g="51" b="51" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<coords x="-1.0" y="0.0" z="0.0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<expression label="u1" exp="(x(G) - x(F)) / 100" />
<element type="numeric" label="u1">
<value val="0.1"/>
<objColor r="0" g="0" b="0" alpha="0.1"/>
</element>
<expression label="percent" exp="round((x(I) - x(F)) / u1)" />
<element type="numeric" label="percent">
<value val="52.0"/>
<objColor r="0" g="0" b="0" alpha="0.1"/>
</element>
<element type="numeric" label="p">
<value val="12000.0"/>
<show object="false" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.1"/>
<layer val="0"/>
<labelMode val="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
<element type="numeric" label="q">
<value val="235.0"/>
<show object="false" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.1"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="-5" max="240" absoluteScreenLocation="true" width="100.0" x="30.0" y="90.0" fixed="false" horizontal="true"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
<element type="numeric" label="r">
<value val="200.0"/>
<show object="false" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.1"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="-5" max="200" absoluteScreenLocation="true" width="100.0" x="30.0" y="130.0" fixed="false" horizontal="true"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
<element type="boolean" label="k">
<value val="true"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="551" y="156"/>
<labelMode val="0"/>
<caption val="顯示所佔百分率"/>
</element>
<expression label="u2" exp="percent * p / 100" />
<element type="numeric" label="u2">
<value val="6240.0"/>
<objColor r="0" g="0" b="0" alpha="0.1"/>
</element>
<expression label="text2" exp=""百分率=" + percent + "%"" />
<element type="text" label="text2">
<show object="true" label="false"/>
<condition showObject="l"/>
<objColor r="0" g="0" b="255" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<font serif="false" sizeM="1.8888888888888888" size="16" style="1"/>
<startPoint exp="I"/>
<labelOffset x="40" y="65"/>
</element>
<element type="point" label="K">
<show object="true" label="false"/>
<objColor r="0" g="0" b="255" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="0.72" y="17.54" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="OrthogonalLine">
<input a0="J" a1="f"/>
<output a0="t"/>
</command>
<element type="line" label="t">
<show object="false" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-10.0" y="0.0" z="52.0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="Segment">
<input a0="D" a1="F"/>
<output a0="n"/>
</command>
<element type="segment" label="n">
<show object="true" label="false"/>
<objColor r="255" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<coords x="-2.0" y="0.0" z="0.0"/>
<lineStyle thickness="5" type="10" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Segment">
<input a0="C" a1="G"/>
<output a0="s"/>
</command>
<element type="segment" label="s">
<show object="true" label="false"/>
<objColor r="255" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<coords x="-2.0" y="0.0" z="20.0"/>
<lineStyle thickness="5" type="10" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="boolean" label="l">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="31" y="63"/>
<labelMode val="0"/>
<caption val="顯示百分率"/>
</element>
<command name="Textfield">
<input a0="p"/>
<output a0="inputBox1"/>
</command>
<element type="textfield" label="inputBox1">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="48" y="20"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="0" playing="false"/>
<auxiliary val="true"/>
<font serif="false" sizeM="1.8888888888888888" size="16" style="0"/>
<linkedGeo exp="p"/>
<length val="5"/>
<caption val="成本=$"/>
</element>
<element type="boolean" label="m">
<value val="false"/>
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="453" y="126"/>
<labelMode val="0"/>
<caption val="顯示售價"/>
</element>
<command name="Sequence">
<input a0="Segment[A + (i, 0), A + (i, -1)]" a1="i" a2="1" a3="9"/>
<output a0="list1"/>
</command>
<element type="list" label="list1">
<show object="true" label="false"/>
<condition showObject="u"/>
<objColor r="0" g="0" b="255" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="4" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<command name="Sequence">
<input a0="Sequence[Segment[A + (0.5 * i + 0.1 * j, 0), A + (0.5 * i + 0.1 * j, -1)], j, 1, 5]" a1="i" a2="0" a3="19"/>
<output a0="list2"/>
</command>
<element type="list" label="list2">
<show object="true" label="false"/>
<condition showObject="u"/>
<objColor r="0" g="0" b="255" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<element type="boolean" label="u">
<value val="false"/>
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelOffset x="48" y="127"/>
<labelMode val="0"/>
<caption val="把整體分成100等分"/>
</element>
<command name="OrthogonalLine">
<input a0="I" a1="a"/>
<output a0="a_1"/>
</command>
<element type="line" label="a_1">
<show object="false" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-10.017834975997866" y="0.0" z="52.092741875188906"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<expression label="L" exp="I - (0, 2)" type="point" />
<element type="point" label="L">
<show object="false" label="false"/>
<objColor r="64" g="64" b="64" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="5.2" y="-1.0" z="1.0"/>
<pointSize val="3"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="I" a1="L"/>
<output a0="c_1"/>
</command>
<element type="segment" label="c_1">
<show object="true" label="false"/>
<objColor r="0" g="0" b="255" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="2.0" y="0.0" z="-10.4"/>
<lineStyle thickness="4" type="10" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Polygon">
<input a0="E" a1="F" a2="I" a3="J"/>
<output a0="poly4" a1="e_2" a2="f_2" a3="i_1" a4="j_1"/>
</command>
<element type="polygon" label="poly4">
<lineStyle thickness="9" type="0" typeHidden="1"/>
<show object="true" label="false"/>
<objColor r="255" g="51" b="51" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
</element>
<element type="segment" label="e_2">
<show object="true" label="false"/>
<objColor r="255" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="1.0" y="0.0" z="0.0"/>
<lineStyle thickness="9" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="f_2">
<show object="true" label="false"/>
<objColor r="255" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.0" y="5.2" z="-5.2"/>
<lineStyle thickness="9" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="i_1">
<show object="true" label="false"/>
<objColor r="255" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-1.0" y="0.0" z="5.2"/>
<lineStyle thickness="9" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="j_1">
<show object="true" label="false"/>
<objColor r="255" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.0" y="-5.2" z="10.4"/>
<lineStyle thickness="9" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Polygon">
<input a0="B" a1="I - (0, 1)" a2="I - (0, 2)" a3="B - (0, 1)"/>
<output a0="poly5" a1="b_1" a2="d_1" a3="g_1" a4="h_1"/>
</command>
<element type="polygon" label="poly5">
<lineStyle thickness="9" type="0" typeHidden="1"/>
<show object="true" label="false"/>
<condition showObject="percent > 100"/>
<objColor r="191" g="255" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
</element>
<element type="segment" label="b_1">
<show object="true" label="false"/>
<condition showObject="percent > 100"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="1"/>
<labelMode val="0"/>
<coords x="0.0" y="-4.817834975997866" z="0.0"/>
<lineStyle thickness="9" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="d_1">
<show object="true" label="false"/>
<condition showObject="percent > 100"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="1"/>
<labelMode val="0"/>
<coords x="1.0" y="0.0" z="-5.2"/>
<lineStyle thickness="9" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="g_1">
<show object="true" label="false"/>
<condition showObject="percent > 100"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="1"/>
<labelMode val="0"/>
<coords x="0.0" y="4.817834975997866" z="4.817834975997866"/>
<lineStyle thickness="9" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="h_1">
<show object="true" label="false"/>
<condition showObject="percent > 100"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="1"/>
<labelMode val="0"/>
<coords x="-1.0" y="0.0" z="10.017834975997866"/>
<lineStyle thickness="9" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Sequence">
<input a0="Segment[A + (10 + i, 0), A + (10 + i, -1)]" a1="i" a2="0" a3="floor(percent / 10) - 10"/>
<output a0="list3"/>
</command>
<element type="list" label="list3">
<show object="true" label="false"/>
<condition showObject="u ∧ z"/>
<objColor r="0" g="0" b="255" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="4" type="0" typeHidden="1"/>
<listType val="segment"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<command name="Sequence">
<input a0="Sequence[Segment[A + (10 + i + 0.1 * j, 0), A + (10 + i + 0.1 * j, -1)], j, 1, 9]" a1="i" a2="0" a3="floor(percent / 10) - 11"/>
<output a0="list4"/>
</command>
<element type="list" label="list4">
<show object="true" label="false"/>
<condition showObject="u ∧ z"/>
<objColor r="0" g="0" b="255" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<listType val="list"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<command name="Sequence">
<input a0="Segment[A + (floor(percent / 10) + 0.1 * j, 0), A + (floor(percent / 10) + 0.1 * j, -1)]" a1="j" a2="0" a3="percent - 10 * floor(percent / 10)"/>
<output a0="list5"/>
</command>
<element type="list" label="list5">
<show object="true" label="false"/>
<condition showObject="u ∧ z"/>
<objColor r="0" g="0" b="255" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<command name="Segment">
<input a0="G" a1="H"/>
<output a0="k_1"/>
</command>
<element type="segment" label="k_1">
<show object="true" label="false"/>
<objColor r="255" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-1.0" y="0.0" z="10.0"/>
<lineStyle thickness="5" type="10" typeHidden="1"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Vector">
<input a0="I - (0, 0.5)" a1="G - (0, 0.5)"/>
<output a0="v"/>
</command>
<element type="vector" label="v">
<show object="true" label="false"/>
<condition showObject="l_1"/>
<objColor r="0" g="0" b="255" alpha="0.0"/>
<layer val="1"/>
<labelMode val="0"/>
<coords x="4.8" y="0.0" z="0.0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<coordStyle style="cartesian"/>
<startPoint x="5.2" y="0.5" z="1.0"/>
</element>
<command name="Vector">
<input a0="G - (0, 0.5)" a1="I - (0, 0.5)"/>
<output a0="w"/>
</command>
<element type="vector" label="w">
<show object="true" label="false"/>
<condition showObject="l_1"/>
<objColor r="0" g="0" b="255" alpha="0.0"/>
<layer val="1"/>
<labelMode val="0"/>
<coords x="-4.8" y="0.0" z="0.0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<coordStyle style="cartesian"/>
<startPoint x="10.0" y="0.5" z="1.0"/>
</element>
<expression label="text6" exp=""數量""/>
<element type="text" label="text6">
<show object="true" label="true"/>
<condition showObject="¬m"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="1"/>
<labelMode val="0"/>
<startPoint exp="Midpoint[I, F]"/>
<labelOffset x="-54" y="-26"/>
</element>
<expression label="text7" exp=""增加量 ""/>
<element type="text" label="text7">
<show object="true" label="false"/>
<condition showObject="percent > 100"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="1"/>
<labelMode val="0"/>
<startPoint exp="Midpoint[I - (0, 2), C]"/>
<labelOffset x="-24" y="-21"/>
</element>
<expression label="text8" exp=""減少量""/>
<element type="text" label="text8">
<show object="true" label="false"/>
<condition showObject="percent < 100"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="1"/>
<labelMode val="0"/>
<startPoint exp="Midpoint[I, G]"/>
<labelOffset x="-30" y="-25"/>
</element>
<element type="boolean" label="z">
<value val="false"/>
<show object="true" label="true"/>
<condition showObject="(percent > 100) ∧ u"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="1"/>
<labelOffset x="636" y="390"/>
<labelMode val="0"/>
<caption val="顯示格綫"/>
</element>
<expression label="pe" exp="p * e" />
<element type="numeric" label="pe">
<value val="12000.0"/>
<objColor r="0" g="0" b="0" alpha="0.1"/>
<auxiliary val="true"/>
</element>
<expression label="text9" exp=""1 + 增加百分率""/>
<element type="text" label="text9">
<show object="true" label="false"/>
<condition showObject="percent > 100"/>
<objColor r="0" g="0" b="255" alpha="0.0"/>
<layer val="1"/>
<labelMode val="0"/>
<fixed val="true"/>
<startPoint exp="I - (0, 1)"/>
<labelOffset x="1" y="-4"/>
</element>
<expression label="text10" exp=""1 - 減少百分率""/>
<element type="text" label="text10">
<show object="true" label="false"/>
<condition showObject="percent < 100"/>
<objColor r="0" g="0" b="255" alpha="0.0"/>
<layer val="1"/>
<labelMode val="0"/>
<fixed val="true"/>
<startPoint exp="I - (0, 1)"/>
<labelOffset x="-80" y="-9"/>
</element>
<expression label="text5" exp=""整體=" + p + """ />
<element type="text" label="text5">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<font serif="false" sizeM="2.0" size="18" style="0"/>
<startPoint x="2.841134572159846" y="-0.6866041915719738" z="1.0"/>
</element>
<expression label="text4" exp=""數量=" + q + """ />
<element type="text" label="text4">
<show object="false" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<startPoint exp="J"/>
<labelOffset x="-42" y="-10"/>
</element>
<expression label="text1" exp=""" + (abs(percent - 100)) + "%"" />
<element type="text" label="text1">
<show object="true" label="false"/>
<condition showObject="l_1"/>
<objColor r="0" g="0" b="255" alpha="0.0"/>
<layer val="1"/>
<labelMode val="0"/>
<startPoint exp="Midpoint[I - (0, 0.5), G - (0, 0.5)]"/>
<labelOffset x="-15" y="-3"/>
</element>
<expression label="text3" exp=""數量=" + u2 + """ />
<element type="text" label="text3">
<show object="true" label="false"/>
<condition showObject="m"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<startPoint exp="Midpoint[I, F]"/>
<labelOffset x="-61" y="-29"/>
</element>
<element type="boolean" label="l_1">
<value val="false"/>
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="1"/>
<labelOffset x="252" y="127"/>
<labelMode val="0"/>
<caption val="顯示相差百分率"/>
</element>
<expression label="text11" exp=""1.	張小姐的月薪是12000元,下月起將會增加25%,求張小姐下月的月薪是多少?""/>
<element type="text" label="text11">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="1"/>
<labelMode val="0"/>
<startPoint x="-0.14860861097508238" y="3.9975909085919605" z="1.0"/>
</element>
</construction>
</geogebra>