Random Spinner and Frequency Statistics Simulation
2020-01-28 02:53
This GeoGebra applet demonstrates a random spinner model. Click the button to spin the wheel, generating random outcomes while calculating the frequency of each section in real-time. An integrated bar chart visually displays the data distribution, helping students understand the relationship between probability and frequency, and the Law of Large Numbers.
Loading the GeoGebra board and drawing, please wait…
<?xml version="1.0" encoding="utf-8"?>
<geogebra format="5.0" version="5.0.570.0" app="classic" platform="w" id="4701fca1-2436-4d4e-bf7a-c6210cfe9e73" xsi:noNamespaceSchemaLocation="http://www.geogebra.org/ggb.xsd" xmlns="" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" >
<gui>
<window width="1329" height="800" />
<perspectives>
<perspective id="tmp">
<panes>
<pane location="" divider="0.6057185854025583" orientation="1" />
<pane location="0" divider="0.2558314522197141" orientation="1" />
</panes>
<views>
<view id="512" toolbar="0 | 1 501 5 19 , 67 | 2 15 45 18 , 7 37 | 514 3 9 , 13 44 , 47 | 16 51 | 551 550 11 , 20 22 21 23 , 55 56 57 , 12 | 69 | 510 511 , 512 513 | 533 531 , 534 532 , 522 523 , 537 536 , 535 | 521 520 | 36 , 38 49 560 | 571 30 29 570 31 33 | 17 | 540 40 41 42 , 27 28 35 , 6 , 502" visible="false" inframe="false" stylebar="false" location="1,1,1" size="500" window="100,100,600,400" />
<view id="1" visible="true" inframe="false" stylebar="true" location="3,1" size="457" window="100,100,600,400" />
<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="1,1" size="300" window="100,100,600,400" />
<view id="2" visible="true" inframe="false" stylebar="true" location="3,3" size="340" window="100,100,600,400" />
<view id="8" toolbar="1001 | 1002 | 1003 || 1005 | 1004 || 1006 | 1007 | 1010 || 1008 1009 || 66 68 || 6" visible="false" inframe="false" stylebar="false" location="1,3" size="300" window="100,100,600,400" />
<view id="4097" visible="false" inframe="false" stylebar="true" location="1,1" size="240" window="100,100,700,550" />
<view id="16" visible="true" inframe="false" stylebar="true" location="1" size="516" window="50,50,500,500" />
<view id="32" visible="false" inframe="false" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="64" toolbar="0" visible="false" inframe="false" stylebar="false" location="1" size="150" window="50,50,500,500" />
<view id="128" visible="false" inframe="false" stylebar="false" location="1" size="480" window="50,50,500,500" />
<view id="70" toolbar="0 || 2020 || 2021 || 2022" visible="false" inframe="false" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="43" visible="false" inframe="false" stylebar="false" location="1" size="450" window="50,50,500,500" />
</views>
<toolbar show="false" items="0 39 73 62 | 1 501 67 , 5 19 , 72 75 76 | 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 14 68 | 30 29 54 32 31 33 | 25 17 26 60 52 61 | 40 41 42 , 27 28 35 , 6" position="1" help="false" />
<input show="false" cmd="true" top="algebra" />
<dockBar show="false" east="false" />
</perspective>
</perspectives>
<labelingStyle val="0"/>
<font size="12"/>
</gui>
<euclidianView>
<viewNumber viewNo="1"/>
<size width="457" height="800"/>
<coordSystem xZero="376.435587039815" yZero="399.1841461977136" scale="78.91690898437501" yscale="56.36922070312508"/>
<evSettings axes="false" grid="false" gridIsBold="false" pointCapturing="3" rightAngleStyle="1" checkboxSize="26" gridType="3"/>
<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="0"/>
<axis id="0" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<axis id="1" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
</euclidianView>
<euclidianView>
<viewNumber viewNo="2"/>
<size width="516" height="800"/>
<coordSystem xZero="51.03636363636366" yZero="336.2727272727276" scale="45.45454545454541" yscale="30.303030303030273"/>
<evSettings axes="true" grid="false" gridIsBold="false" pointCapturing="3" rightAngleStyle="1" checkboxSize="26" gridType="3"/>
<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="0"/>
<axis id="0" show="true" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<axis id="1" show="true" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
</euclidianView>
<algebraView>
<mode val="1"/>
<auxiliary show="true"/>
</algebraView>
<kernel>
<uses3D val="true"/>
<continuous val="false"/>
<usePathAndRegionParameters val="true"/>
<decimals val="2"/>
<angleUnit val="degree"/>
<algebraStyle val="2" spreadsheet="0"/>
<coordStyle val="0"/>
</kernel>
<tableview min="-2" max="2" step="1"/>
<scripting blocked="false" disabled="false"/>
<construction title="" author="" date="">
<expression label="O" exp="(0, 0)" type="point"/>
<element type="point" label="O">
<show object="false" label="true"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="0" y="0" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<element type="numeric" label="s1">
<value val="1"/>
<symbolic val="true" />
<show object="true" label="true"/>
<objColor r="255" g="0" b="0" alpha="0.10000000149011612"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="1" max="6" width="2" x="-3.7" y="5.299999999999999" fixed="false" horizontal="true" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
<element type="numeric" label="s2">
<value val="1"/>
<symbolic val="true" />
<show object="true" label="true"/>
<objColor r="0" g="0" b="255" alpha="0.10000000149011612"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="1" max="6" width="2" x="-3.7" y="4.499999999999998" fixed="false" horizontal="true" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
<element type="numeric" label="s3">
<value val="1"/>
<symbolic val="true" />
<show object="true" label="true"/>
<objColor r="255" g="0" b="136" alpha="0.10000000149011612"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="0" max="6" width="2" x="-3.7" y="3.699999999999998" fixed="false" horizontal="true" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
<element type="numeric" label="s4">
<value val="1"/>
<symbolic val="true" />
<show object="true" label="true"/>
<objColor r="0" g="136" b="0" alpha="0.10000000149011612"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="0" max="6" width="2" x="-3.7" y="2.8999999999999977" fixed="false" horizontal="true" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
<element type="numeric" label="s5">
<value val="1"/>
<symbolic val="true" />
<show object="true" label="true"/>
<objColor r="136" g="0" b="255" alpha="0.10000000149011612"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="0" max="6" width="2" x="-3.7" y="2.0999999999999974" fixed="false" horizontal="true" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
<element type="numeric" label="s6">
<value val="1"/>
<symbolic val="true" />
<show object="true" label="true"/>
<objColor r="0" g="136" b="255" alpha="0.10000000149011612"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="0" max="6" width="2" x="-3.7" y="1.2999999999999972" fixed="false" horizontal="true" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
<expression label="ss" exp="{s1, s2, s3, s4, s5, s6}" />
<element type="list" label="ss">
<objColor r="0" g="100" b="0" alpha="0.10000000149011612"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
<symbolic val="true" />
</element>
<command name="Sum">
<input a0="ss"/>
<output a0="total"/>
</command>
<element type="numeric" label="total">
<value val="6"/>
<symbolic val="true" />
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
</element>
<command name="Sequence">
<input a0="ss(k) / total" a1="k" a2="1" a3="6"/>
<output a0="ps"/>
</command>
<element type="list" label="ps">
<objColor r="0" g="100" b="0" alpha="0.10000000149011612"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
<symbolic val="true" />
</element>
<command name="Sequence">
<input a0="Sum[ps, k]" a1="k" a2="1" a3="6"/>
<output a0="sps"/>
</command>
<element type="list" label="sps">
<objColor r="0" g="100" b="0" alpha="0.10000000149011612"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
<symbolic val="true" />
</element>
<command name="Sequence">
<input a0="(1; ((sps(k) * 2) * π))" a1="k" a2="1" a3="6"/>
<output a0="Ps"/>
</command>
<element type="list" label="Ps">
<show object="false" label="true"/>
<objColor r="0" g="100" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
</element>
<command name="CircleSector">
<input a0="O" a1="Ps(6)" a2="Ps(1)"/>
<output a0="Cs1"/>
</command>
<element type="conicpart" label="Cs1">
<show object="true" label="false"/>
<objColor r="255" g="0" b="0" alpha="1"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<eigenvectors x0="1" y0="0" z0="1.0" x1="0" y1="1" z1="1.0"/>
<matrix A0="1" A1="1" A2="-1" A3="0" A4="0" A5="0"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="CircleSector">
<input a0="O" a1="Ps(1)" a2="Ps(2)"/>
<output a0="Cs2"/>
</command>
<element type="conicpart" label="Cs2">
<show object="true" label="false"/>
<objColor r="0" g="0" b="255" alpha="1"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<eigenvectors x0="1" y0="0" z0="1.0" x1="0" y1="1" z1="1.0"/>
<matrix A0="1" A1="1" A2="-1" A3="0" A4="0" A5="0"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="CircleSector">
<input a0="O" a1="Ps(2)" a2="Ps(3)"/>
<output a0="Cs3"/>
</command>
<element type="conicpart" label="Cs3">
<show object="true" label="false"/>
<objColor r="255" g="0" b="136" alpha="1"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<eigenvectors x0="1" y0="0" z0="1.0" x1="0" y1="1" z1="1.0"/>
<matrix A0="1" A1="1" A2="-1" A3="0" A4="0" A5="0"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="CircleSector">
<input a0="O" a1="Ps(3)" a2="Ps(4)"/>
<output a0="Cs4"/>
</command>
<element type="conicpart" label="Cs4">
<show object="true" label="false"/>
<objColor r="0" g="136" b="0" alpha="1"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<eigenvectors x0="1" y0="0" z0="1.0" x1="0" y1="1" z1="1.0"/>
<matrix A0="1" A1="1" A2="-1" A3="0" A4="0" A5="0"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="CircleSector">
<input a0="O" a1="Ps(4)" a2="Ps(5)"/>
<output a0="Cs5"/>
</command>
<element type="conicpart" label="Cs5">
<show object="true" label="false"/>
<objColor r="136" g="0" b="255" alpha="1"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<eigenvectors x0="1" y0="0" z0="1.0" x1="0" y1="1" z1="1.0"/>
<matrix A0="1" A1="1" A2="-1" A3="0" A4="0" A5="0"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="CircleSector">
<input a0="O" a1="Ps(5)" a2="Ps(6)"/>
<output a0="Cs6"/>
</command>
<element type="conicpart" label="Cs6">
<show object="true" label="false"/>
<objColor r="0" g="136" b="255" alpha="1"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<eigenvectors x0="1" y0="0" z0="1.0" x1="0" y1="1" z1="1.0"/>
<matrix A0="1" A1="1" A2="-1" A3="0" A4="0" A5="0"/>
<eqnStyle style="implicit"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="button" label="button1">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="324" y="83"/>
<labelMode val="0"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="SetColor(Cs1,"#FF0000")
SetColor(Cs2,"#0000FF")
SetColor(Cs3,"#FF0088")
SetColor(Cs4,"#008800")
SetColor(Cs5,"#8800FF")
SetColor(Cs6,"#0088FF")
SetColor(s1,"#FF0000")
SetColor(s2,"#0000FF")
SetColor(s3,"#FF0088")
SetColor(s4,"#008800")
SetColor(s5,"#8800FF")
SetColor(s6,"#0088FF")"/>
<font serif="false" sizeM="2" size="12" style="0"/>
<caption val="颜色"/>
</element>
<element type="numeric" label="spinner">
<value val="527"/>
<symbolic val="true" />
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="0" max="(360 * turn) + end" absoluteScreenLocation="true" width="200" x="246" y="42" fixed="false" horizontal="true" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation speed="10" type="3" playing="false"/>
</element>
<command name="Vector">
<input a0="(1; ((spinner / 360 * 2) * π))"/>
<output a0="tip"/>
</command>
<element type="vector" label="tip">
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-0.9743700647852351" y="0.22495105434386545" z="0"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<coordStyle style="cartesian"/>
</element>
<command name="Random">
<input a0="1" a1="360"/>
<output a0="end"/>
</command>
<element type="numeric" label="end">
<value val="242"/>
<symbolic val="true" />
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
</element>
<command name="Random">
<input a0="1" a1="2"/>
<output a0="turn"/>
</command>
<element type="numeric" label="turn">
<value val="1"/>
<symbolic val="true" />
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
</element>
<element type="button" label="button2">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="329" y="143"/>
<labelMode val="0"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="spinner=0
turn=Random(1,2)
end=Random(1,360)
StartAnimation(spinner,True)
new = Sequence(If(k==spinIndex,1,0),k,1,6) 
SetValue(nums,nums+new)
"/>
<font serif="false" sizeM="2" size="12" style="0"/>
<caption val="转动"/>
</element>
<expression label="names" exp="{"红色", "蓝色", "粉色", "绿色", "紫色", "青色"}"/>
<element type="list" label="names">
<show object="false" label="true"/>
<objColor r="0" g="100" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="0" playing="false"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
<symbolic val="true" />
</element>
<command name="Sequence">
<input a0="(360 * sps(k))" a1="k" a2="1" a3="6"/>
<output a0="endAngles"/>
</command>
<element type="list" label="endAngles">
<objColor r="0" g="100" b="0" alpha="0.10000000149011612"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
</element>
<expression label="resIndex" exp="CountIf[x < Mod[spinner, 360], endAngles] + 1" />
<element type="numeric" label="resIndex">
<value val="3"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
</element>
<expression label="resName" exp="names(resIndex)" />
<element type="text" label="resName">
<symbolic val="true" />
<show object="false" label="true" ev="8"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<startPoint x="7.199999999999996" y="0.7799999999999967" z="1"/>
</element>
<command name="Textfield">
<input a0="resName"/>
<output a0="InputBox1"/>
</command>
<element type="textfield" label="InputBox1">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="324" y="274"/>
<labelMode val="0"/>
<auxiliary val="true"/>
<font serif="false" sizeM="2" size="12" style="0"/>
<length val="5"/>
<caption val="结果为"/>
</element>
<expression label="nums" exp="{6, 3, 2, 1, 2, 2}"/>
<element type="list" label="nums">
<objColor r="0" g="100" b="0" alpha="0.10000000149011612"/>
<animation step="0.1" speed="1" type="0" playing="false"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
<symbolic val="true" />
</element>
<element type="button" label="button3">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="327" y="213"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="0" playing="false"/>
<auxiliary val="true"/>
<ggbscript val="nums={0,0,0,0,0,0}"/>
<font serif="false" sizeM="2" size="12" style="0"/>
<caption val="重置"/>
</element>
<element type="button" label="button4">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="433" y="212"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="0" playing="false"/>
<auxiliary val="true"/>
<ggbscript val="SetValue(nums, nums+new)"/>
<font serif="false" sizeM="2" size="12" style="0"/>
<caption val="累计"/>
</element>
<command name="Max">
<input a0="Sum[nums]" a1="1"/>
<output a0="snums"/>
</command>
<element type="numeric" label="snums">
<value val="16"/>
<symbolic val="true" />
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
</element>
<command name="Sequence">
<input a0="nums(k) / snums" a1="k" a2="1" a3="6"/>
<output a0="freqs"/>
</command>
<element type="list" label="freqs">
<objColor r="0" g="100" b="0" alpha="0.10000000149011612"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
<symbolic val="true" />
</element>
<command name="BarChart">
<input a0="{1, 2, 3, 4, 5, 6}" a1="nums" a2="0.8"/>
<output a0="a"/>
</command>
<element type="numeric" label="a">
<value val="12.8"/>
<symbolic val="true" />
<show object="false" label="true" ev="3"/>
<objColor r="153" g="51" b="0" alpha="0.10000000149011612"/>
<layer val="0"/>
<labelMode val="1"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<tags>
</tags>
</element>
<command name="Append">
<input a0=""颜色"" a1="names"/>
<output a0="tnames"/>
</command>
<element type="list" label="tnames">
<show object="false" label="true" ev="3"/>
<objColor r="0" g="100" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
</element>
<command name="Append">
<input a0=""次数"" a1="nums"/>
<output a0="tnums"/>
</command>
<element type="list" label="tnums">
<objColor r="0" g="100" b="0" alpha="0"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
</element>
<command name="Append">
<input a0=""频率"" a1="freqs"/>
<output a0="tfreqs"/>
</command>
<element type="list" label="tfreqs">
<objColor r="0" g="100" b="0" alpha="0"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
</element>
<command name="TableText">
<input a0="tnames" a1="tnums" a2="tfreqs"/>
<output a0="text1"/>
</command>
<element type="text" label="text1">
<symbolic val="true" />
<show object="true" label="true" ev="11"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<isLaTeX val="true"/>
<font serif="false" sizeM="1.4" size="5" style="0"/>
<absoluteScreenLocation x="1" y="348"/>
</element>
<element type="numeric" label="yscale">
<value val="1.5"/>
<symbolic val="true" />
<show object="true" label="true" ev="3"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="1" max="4" absoluteScreenLocation="true" width="200" x="69" y="295" fixed="false" horizontal="false" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation speed="1" type="0" playing="false"/>
<ggbscript onUpdate="SetAxesRatio(1,yscale)"/>
</element>
<command name="Sequence">
<input a0="Circle[(1, k - 0.5), 0.5]" a1="k" a2="1" a3="nums(1)"/>
<output a0="C1s"/>
</command>
<element type="list" label="C1s">
<show object="true" label="true" ev="11"/>
<objColor r="255" g="0" b="0" alpha="0.6200000047683716"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
</element>
<command name="Sequence">
<input a0="Circle[(2, k - 0.5), 0.5]" a1="k" a2="1" a3="nums(2)"/>
<output a0="C2s"/>
</command>
<element type="list" label="C2s">
<show object="true" label="true" ev="11"/>
<objColor r="0" g="0" b="255" alpha="0.6399999856948853"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
</element>
<command name="Sequence">
<input a0="Circle[(3, k - 0.5), 0.5]" a1="k" a2="1" a3="nums(3)"/>
<output a0="C3s"/>
</command>
<element type="list" label="C3s">
<show object="true" label="true" ev="11"/>
<objColor r="255" g="0" b="136" alpha="0.6299999952316284"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
</element>
<command name="Sequence">
<input a0="Circle[(4, k - 0.5), 0.5]" a1="k" a2="1" a3="nums(4)"/>
<output a0="C4s"/>
</command>
<element type="list" label="C4s">
<show object="true" label="true" ev="11"/>
<objColor r="0" g="136" b="0" alpha="0.7200000286102295"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
</element>
<command name="Sequence">
<input a0="Circle[(5, k - 0.5), 0.5]" a1="k" a2="1" a3="nums(5)"/>
<output a0="C5s"/>
</command>
<element type="list" label="C5s">
<show object="true" label="true" ev="11"/>
<objColor r="136" g="0" b="255" alpha="0.699999988079071"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
</element>
<command name="Sequence">
<input a0="Circle[(6, k - 0.5), 0.5]" a1="k" a2="1" a3="nums(6)"/>
<output a0="C6s"/>
</command>
<element type="list" label="C6s">
<show object="true" label="true" ev="11"/>
<objColor r="0" g="136" b="255" alpha="0.7799999713897705"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
</element>
<expression label="spinIndex" exp="CountIf[x < end, endAngles] + 1" />
<element type="numeric" label="spinIndex">
<value val="5"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
</element>
<command name="Sequence">
<input a0="If[k ≟ spinIndex, 1, 0]" a1="k" a2="1" a3="6"/>
<output a0="new"/>
</command>
<element type="list" label="new">
<objColor r="0" g="100" b="0" alpha="0.10000000149011612"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
</element>
<element type="button" label="button5">
<show object="false" label="true" ev="3"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="142" y="504"/>
<labelMode val="0"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="SetColor(C1s,"#FF0000")
SetColor(C2s,"#0000FF")
SetColor(C3s,"#FF0088")
SetColor(C4s,"#008800")
SetColor(C5s,"#8800FF")
SetColor(C6s,"#0088FF")
"/>
<font serif="false" sizeM="2" size="12" style="0"/>
<caption val="颜色"/>
</element>
</construction>
</geogebra>