Memory Training for Trigonometric Values of Special Angles
2020-03-13 07:38
This GeoGebra applet helps students practice and memorize trigonometric values of special angles. By randomly generating sine and cosine questions and using interactive buttons, users can test their mastery of these values. It employs commands like RandomElement, Sequence, and TableText to create a dynamic practice environment, enhancing trigonometry learning efficiency.
In collections
Secondary Vocational Mathematics
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SetBackgroundColor(cosz4,"蓝绿")
SetBackgroundColor(cosz5,"蓝绿")
SetBackgroundColor(cosz6,"蓝绿")
SetBackgroundColor(cosz7,"蓝绿")
SetBackgroundColor(cosz8,"蓝绿")
SetBackgroundColor(cosz9,"蓝绿")
SetBackgroundColor(cosz10,"蓝绿")
SetBackgroundColor(cosz11,"蓝绿")
SetBackgroundColor(cosz12,"蓝绿")
SetBackgroundColor(%0,"红色")
SetValue(txtSel,Name(%0))"/>
</element>
<command name="LaTeX">
<input a0=""\frac{\sqrt2}{2}""/>
<output a0="cosz3"/>
</command>
<element type="text" label="cosz3">
<show object="false" label="true" ev="8"/>
<condition showObject="hsmc ≟ "cos""/>
<objColor r="128" g="0" b="0" alpha="0"/>
<bgColor r="175" g="238" b="238" alpha="255"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="false" sizeM="1.4" size="5" style="1"/>
<auxiliary val="true"/>
<absoluteScreenLocation x="316" y="313"/>
<ggbscript val="SetBackgroundColor(cosz0,"蓝绿")
SetBackgroundColor(cosz1,"蓝绿")
SetBackgroundColor(cosz2,"蓝绿")
SetBackgroundColor(cosz3,"蓝绿")
SetBackgroundColor(cosz4,"蓝绿")
SetBackgroundColor(cosz5,"蓝绿")
SetBackgroundColor(cosz6,"蓝绿")
SetBackgroundColor(cosz7,"蓝绿")
SetBackgroundColor(cosz8,"蓝绿")
SetBackgroundColor(cosz9,"蓝绿")
SetBackgroundColor(cosz10,"蓝绿")
SetBackgroundColor(cosz11,"蓝绿")
SetBackgroundColor(cosz12,"蓝绿")
SetBackgroundColor(%0,"红色")
SetValue(txtSel,Name(%0))"/>
</element>
<command name="LaTeX">
<input a0=""\frac{\sqrt3}{2}""/>
<output a0="cosz2"/>
</command>
<element type="text" label="cosz2">
<show object="false" label="true" ev="8"/>
<condition showObject="hsmc ≟ "cos""/>
<objColor r="128" g="0" b="0" alpha="0"/>
<bgColor r="175" g="238" b="238" alpha="255"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="false" sizeM="1.4" size="5" style="1"/>
<auxiliary val="true"/>
<absoluteScreenLocation x="316" y="248"/>
<ggbscript val="SetBackgroundColor(cosz0,"蓝绿")
SetBackgroundColor(cosz1,"蓝绿")
SetBackgroundColor(cosz2,"蓝绿")
SetBackgroundColor(cosz3,"蓝绿")
SetBackgroundColor(cosz4,"蓝绿")
SetBackgroundColor(cosz5,"蓝绿")
SetBackgroundColor(cosz6,"蓝绿")
SetBackgroundColor(cosz7,"蓝绿")
SetBackgroundColor(cosz8,"蓝绿")
SetBackgroundColor(cosz9,"蓝绿")
SetBackgroundColor(cosz10,"蓝绿")
SetBackgroundColor(cosz11,"蓝绿")
SetBackgroundColor(cosz12,"蓝绿")
SetBackgroundColor(%0,"红色")
SetValue(txtSel,Name(%0))"/>
</element>
<command name="LaTeX">
<input a0=""\frac{\sqrt6+\sqrt2}{4}""/>
<output a0="cosz1"/>
</command>
<element type="text" label="cosz1">
<show object="false" label="true" ev="8"/>
<condition showObject="hsmc ≟ "cos""/>
<objColor r="128" g="0" b="0" alpha="0"/>
<bgColor r="175" g="238" b="238" alpha="255"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="false" sizeM="1.4" size="5" style="1"/>
<auxiliary val="true"/>
<absoluteScreenLocation x="317" y="95"/>
<ggbscript val="SetBackgroundColor(cosz0,"蓝绿")
SetBackgroundColor(cosz1,"蓝绿")
SetBackgroundColor(cosz2,"蓝绿")
SetBackgroundColor(cosz3,"蓝绿")
SetBackgroundColor(cosz4,"蓝绿")
SetBackgroundColor(cosz5,"蓝绿")
SetBackgroundColor(cosz6,"蓝绿")
SetBackgroundColor(cosz7,"蓝绿")
SetBackgroundColor(cosz8,"蓝绿")
SetBackgroundColor(cosz9,"蓝绿")
SetBackgroundColor(cosz10,"蓝绿")
SetBackgroundColor(cosz11,"蓝绿")
SetBackgroundColor(cosz12,"蓝绿")
SetBackgroundColor(%0,"红色")
SetValue(txtSel,Name(%0))"/>
</element>
<command name="LaTeX">
<input a0=""-\frac{\sqrt6-\sqrt2}{4}""/>
<output a0="cosz7"/>
</command>
<element type="text" label="cosz7">
<show object="false" label="true" ev="8"/>
<condition showObject="hsmc ≟ "cos""/>
<objColor r="128" g="0" b="0" alpha="0"/>
<bgColor r="175" g="238" b="238" alpha="255"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="false" sizeM="1.4" size="5" style="1"/>
<auxiliary val="true"/>
<absoluteScreenLocation x="457" y="172"/>
<ggbscript val="SetBackgroundColor(cosz0,"蓝绿")
SetBackgroundColor(cosz1,"蓝绿")
SetBackgroundColor(cosz2,"蓝绿")
SetBackgroundColor(cosz3,"蓝绿")
SetBackgroundColor(cosz4,"蓝绿")
SetBackgroundColor(cosz5,"蓝绿")
SetBackgroundColor(cosz6,"蓝绿")
SetBackgroundColor(cosz7,"蓝绿")
SetBackgroundColor(cosz8,"蓝绿")
SetBackgroundColor(cosz9,"蓝绿")
SetBackgroundColor(cosz10,"蓝绿")
SetBackgroundColor(cosz11,"蓝绿")
SetBackgroundColor(cosz12,"蓝绿")
SetBackgroundColor(%0,"红色")
SetValue(txtSel,Name(%0))"/>
</element>
<command name="LaTeX">
<input a0=""-\frac{1}{2}""/>
<output a0="cosz8"/>
</command>
<element type="text" label="cosz8">
<show object="false" label="true" ev="8"/>
<condition showObject="hsmc ≟ "cos""/>
<objColor r="128" g="0" b="0" alpha="0"/>
<bgColor r="175" g="238" b="238" alpha="255"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="false" sizeM="1.4" size="5" style="1"/>
<auxiliary val="true"/>
<absoluteScreenLocation x="523" y="378"/>
<ggbscript val="SetBackgroundColor(cosz0,"蓝绿")
SetBackgroundColor(cosz1,"蓝绿")
SetBackgroundColor(cosz2,"蓝绿")
SetBackgroundColor(cosz3,"蓝绿")
SetBackgroundColor(cosz4,"蓝绿")
SetBackgroundColor(cosz5,"蓝绿")
SetBackgroundColor(cosz6,"蓝绿")
SetBackgroundColor(cosz7,"蓝绿")
SetBackgroundColor(cosz8,"蓝绿")
SetBackgroundColor(cosz9,"蓝绿")
SetBackgroundColor(cosz10,"蓝绿")
SetBackgroundColor(cosz11,"蓝绿")
SetBackgroundColor(cosz12,"蓝绿")
SetBackgroundColor(%0,"红色")
SetValue(txtSel,Name(%0))"/>
</element>
<command name="LaTeX">
<input a0=""-\frac{\sqrt2}{2}""/>
<output a0="cosz9"/>
</command>
<element type="text" label="cosz9">
<show object="false" label="true" ev="8"/>
<condition showObject="hsmc ≟ "cos""/>
<objColor r="128" g="0" b="0" alpha="0"/>
<bgColor r="175" g="238" b="238" alpha="255"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="false" sizeM="1.4" size="5" style="1"/>
<auxiliary val="true"/>
<absoluteScreenLocation x="511" y="312"/>
<ggbscript val="SetBackgroundColor(cosz0,"蓝绿")
SetBackgroundColor(cosz1,"蓝绿")
SetBackgroundColor(cosz2,"蓝绿")
SetBackgroundColor(cosz3,"蓝绿")
SetBackgroundColor(cosz4,"蓝绿")
SetBackgroundColor(cosz5,"蓝绿")
SetBackgroundColor(cosz6,"蓝绿")
SetBackgroundColor(cosz7,"蓝绿")
SetBackgroundColor(cosz8,"蓝绿")
SetBackgroundColor(cosz9,"蓝绿")
SetBackgroundColor(cosz10,"蓝绿")
SetBackgroundColor(cosz11,"蓝绿")
SetBackgroundColor(cosz12,"蓝绿")
SetBackgroundColor(%0,"红色")
SetValue(txtSel,Name(%0))"/>
</element>
<command name="LaTeX">
<input a0=""-\frac{\sqrt3}{2}""/>
<output a0="cosz10"/>
</command>
<element type="text" label="cosz10">
<show object="false" label="true" ev="8"/>
<condition showObject="hsmc ≟ "cos""/>
<objColor r="128" g="0" b="0" alpha="0"/>
<bgColor r="175" g="238" b="238" alpha="255"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="false" sizeM="1.4" size="5" style="1"/>
<auxiliary val="true"/>
<absoluteScreenLocation x="512" y="248"/>
<ggbscript val="SetBackgroundColor(cosz0,"蓝绿")
SetBackgroundColor(cosz1,"蓝绿")
SetBackgroundColor(cosz2,"蓝绿")
SetBackgroundColor(cosz3,"蓝绿")
SetBackgroundColor(cosz4,"蓝绿")
SetBackgroundColor(cosz5,"蓝绿")
SetBackgroundColor(cosz6,"蓝绿")
SetBackgroundColor(cosz7,"蓝绿")
SetBackgroundColor(cosz8,"蓝绿")
SetBackgroundColor(cosz9,"蓝绿")
SetBackgroundColor(cosz10,"蓝绿")
SetBackgroundColor(cosz11,"蓝绿")
SetBackgroundColor(cosz12,"蓝绿")
SetBackgroundColor(%0,"红色")
SetValue(txtSel,Name(%0))"/>
</element>
<command name="LaTeX">
<input a0=""-\frac{\sqrt6+\sqrt2}{4}""/>
<output a0="cosz11"/>
</command>
<element type="text" label="cosz11">
<show object="false" label="true" ev="8"/>
<condition showObject="hsmc ≟ "cos""/>
<objColor r="128" g="0" b="0" alpha="0"/>
<bgColor r="175" g="238" b="238" alpha="255"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="false" sizeM="1.4" size="5" style="1"/>
<auxiliary val="true"/>
<absoluteScreenLocation x="457" y="95"/>
<ggbscript val="SetBackgroundColor(cosz0,"蓝绿")
SetBackgroundColor(cosz1,"蓝绿")
SetBackgroundColor(cosz2,"蓝绿")
SetBackgroundColor(cosz3,"蓝绿")
SetBackgroundColor(cosz4,"蓝绿")
SetBackgroundColor(cosz5,"蓝绿")
SetBackgroundColor(cosz6,"蓝绿")
SetBackgroundColor(cosz7,"蓝绿")
SetBackgroundColor(cosz8,"蓝绿")
SetBackgroundColor(cosz9,"蓝绿")
SetBackgroundColor(cosz10,"蓝绿")
SetBackgroundColor(cosz11,"蓝绿")
SetBackgroundColor(cosz12,"蓝绿")
SetBackgroundColor(%0,"红色")
SetValue(txtSel,Name(%0))"/>
</element>
<command name="LaTeX">
<input a0=""-1""/>
<output a0="cosz12"/>
</command>
<element type="text" label="cosz12">
<show object="false" label="true" ev="8"/>
<condition showObject="hsmc ≟ "cos""/>
<objColor r="128" g="0" b="0" alpha="0"/>
<bgColor r="175" g="238" b="238" alpha="255"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="false" sizeM="1.4" size="5" style="1"/>
<auxiliary val="true"/>
<absoluteScreenLocation x="414" y="400"/>
<ggbscript val="SetBackgroundColor(cosz0,"蓝绿")
SetBackgroundColor(cosz1,"蓝绿")
SetBackgroundColor(cosz2,"蓝绿")
SetBackgroundColor(cosz3,"蓝绿")
SetBackgroundColor(cosz4,"蓝绿")
SetBackgroundColor(cosz5,"蓝绿")
SetBackgroundColor(cosz6,"蓝绿")
SetBackgroundColor(cosz7,"蓝绿")
SetBackgroundColor(cosz8,"蓝绿")
SetBackgroundColor(cosz9,"蓝绿")
SetBackgroundColor(cosz10,"蓝绿")
SetBackgroundColor(cosz11,"蓝绿")
SetBackgroundColor(cosz12,"蓝绿")
SetBackgroundColor(%0,"红色")
SetValue(txtSel,Name(%0))"/>
</element>
<command name="RandomElement">
<input a0="{"sin", "cos"}"/>
<output a0="hsmc"/>
</command>
<element type="text" label="hsmc">
<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="-2.100000000000001" y="0.4999999999999998" z="1"/>
</element>
<element type="boolean" label="isSin">
<value val="true"/>
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="36" y="12"/>
<labelMode val="3"/>
<checkbox fixed="true"/>
<caption val="正弦"/>
</element>
<element type="boolean" label="isCos">
<value val="true"/>
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="105" y="12"/>
<labelMode val="3"/>
<checkbox fixed="true"/>
<caption val="余弦"/>
</element>
<element type="button" label="btnCreate">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="25" y="219"/>
<labelMode val="0"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="SetValue(count,count+1)
SetValue(isNew,true)
SetValue(hsmc,RandomElement(lbhsmc))
SetValue(numa,RandomElement(lbfm))
SetValue(txtSel,"")
SetValue(isTiShi,false)
SetValue(txtVerIf,"选择答案后点“验证”")
SetBackgroundColor(cosz0,"蓝绿")
SetBackgroundColor(cosz1,"蓝绿")
SetBackgroundColor(cosz2,"蓝绿")
SetBackgroundColor(cosz3,"蓝绿")
SetBackgroundColor(cosz4,"蓝绿")
SetBackgroundColor(cosz5,"蓝绿")
SetBackgroundColor(cosz6,"蓝绿")
SetBackgroundColor(cosz7,"蓝绿")
SetBackgroundColor(cosz8,"蓝绿")
SetBackgroundColor(cosz9,"蓝绿")
SetBackgroundColor(cosz10,"蓝绿")
SetBackgroundColor(cosz11,"蓝绿")
SetBackgroundColor(cosz12,"蓝绿")
SetBackgroundColor(sinz0,"蓝绿")
SetBackgroundColor(sinz1,"蓝绿")
SetBackgroundColor(sinz2,"蓝绿")
SetBackgroundColor(sinz3,"蓝绿")
SetBackgroundColor(sinz4,"蓝绿")
SetBackgroundColor(sinz5,"蓝绿")
SetBackgroundColor(sinz6,"蓝绿")
SetBackgroundColor(sinf1,"蓝绿")
SetBackgroundColor(sinf2,"蓝绿")
SetBackgroundColor(sinf3,"蓝绿")
SetBackgroundColor(sinf4,"蓝绿")
SetBackgroundColor(sinf5,"蓝绿")
SetBackgroundColor(sinf6,"蓝绿")
SetBackgroundColor(tanz0,"蓝绿")
SetBackgroundColor(tanz1,"蓝绿")
SetBackgroundColor(tanz2,"蓝绿")
SetBackgroundColor(tanz3,"蓝绿")
SetBackgroundColor(tanz4,"蓝绿")
SetBackgroundColor(tanz5,"蓝绿")
SetBackgroundColor(tan6,"蓝绿")
SetBackgroundColor(tanf1,"蓝绿")
SetBackgroundColor(tanf2,"蓝绿")
SetBackgroundColor(tanf3,"蓝绿")
SetBackgroundColor(tanf4,"蓝绿")
SetBackgroundColor(tanf5,"蓝绿")
"/>
<font serif="false" sizeM="2" size="12" style="0"/>
<caption val="生成题目"/>
</element>
<element type="numeric" label="starta">
<value val="0"/>
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
<layer val="0"/>
<labelMode val="3"/>
<slider min="-4" max="4" absoluteScreenLocation="true" width="120" x="99" y="133" fixed="false" horizontal="true" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation step="2" speed="1" type="0" playing="false"/>
<ggbscript onUpdate="SetCaption(%0,If(%0==0,"起始弧度：0","起始弧度："+%0+"π")) "/>
<caption val="起始弧度：0"/>
</element>
<element type="numeric" label="cycles">
<value val="1"/>
<show object="true" label="false"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
<layer val="0"/>
<labelMode val="2"/>
<slider min="0.25" max="4" absoluteScreenLocation="true" width="120" x="98" y="169" fixed="false" horizontal="true" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation step="0.25" speed="1" type="0" playing="false"/>
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<command name="Sequence">
<input a0="i" a1="i" a2="(starta * 12)" a3="(starta * 12) + (cycles * 24) - 1" a4="1"/>
<output a0="lbfm12"/>
</command>
<element type="list" label="lbfm12">
<objColor r="0" g="100" b="0" alpha="0.10000000149011612"/>
<auxiliary val="true"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
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<element type="numeric" label="numa">
<value val="1"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
<layer val="0"/>
<labelMode val="1"/>
<animation speed="1" type="0" playing="false"/>
</element>
<command name="LaTeX">
<input a0="((("\" * hsmc) * FractionText[numa / 12]) * " π ")"/>
<output a0="showa"/>
</command>
<element type="text" label="showa">
<symbolic val="true" />
<show object="true" label="true" ev="8"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<bgColor r="255" g="255" b="0" alpha="255"/>
<layer val="0"/>
<labelMode val="0"/>
<isLaTeX val="true"/>
<font serif="true" sizeM="2" size="12" style="0"/>
<absoluteScreenLocation x="177" y="208"/>
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<element type="button" label="btnVer">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="26" y="287"/>
<labelMode val="0"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="SetValue(txtVerIf,If(isRight,"答对了，你真棒！","别泄气，再选一次！"))
SetValue(lbResults,Append(lbResults,{LaTeX(count), LaTeX(showa), LaTeX(Object(txtSel)), LaTeX(isRight)}))
SetValue(numTrue,If(isRight&&isNew,numTrue+1,numTrue))
SetValue(txtResults,LaTeX("$问题数："+count+"\\正确数："+numTrue+"\\正确率："+numTrue/count*100+"%$",true,true))
SetValue(isNew,false)"/>
<font serif="false" sizeM="2" size="12" style="0"/>
<caption val="验证"/>
</element>
<expression label="txtVerIf" exp=""答对了，你真棒！""/>
<element type="text" label="txtVerIf">
<show object="true" label="true" ev="40"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="1.4" size="5" style="1"/>
<absoluteScreenLocation x="126" y="311"/>
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<expression label="txtSel" exp=""tanz1""/>
<element type="text" label="txtSel">
<show object="false" label="true" ev="8"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<startPoint x="0.10562913604898072" y="-2.5105408242367355" z="1"/>
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<command name="Mod">
<input a0="numa" a1="24"/>
<output a0="numas24"/>
</command>
<element type="numeric" label="numas24">
<value val="1"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
<auxiliary val="true"/>
</element>
<command name="If">
<input a0="6 < numas24 < 18" a1="12 - numas24" a2="If[numas24 ≥ 18, numas24 - 24, numas24]"/>
<output a0="numas12"/>
</command>
<element type="numeric" label="numas12">
<value val="1"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
<auxiliary val="true"/>
</element>
<command name="If">
<input a0="numas12 ≥ 0" a1=""sinz" + numas12" a2=""sinf" + (abs(numas12))"/>
<output a0="nameSin"/>
</command>
<element type="text" label="nameSin">
<show object="false" label="true" ev="8"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
</element>
<command name="Mod">
<input a0="numa" a1="24"/>
<output a0="numac24"/>
</command>
<element type="numeric" label="numac24">
<value val="1"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
<auxiliary val="true"/>
</element>
<command name="If">
<input a0="numac24 > 12" a1="24 - numac24" a2="numac24"/>
<output a0="numac12"/>
</command>
<element type="numeric" label="numac12">
<value val="1"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
<auxiliary val="true"/>
</element>
<expression label="nameCos" exp=""cosz" + numac12" />
<element type="text" label="nameCos">
<show object="false" label="true" ev="8"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<startPoint x="-0.11038738081661126" y="-4.2386129752416" z="1"/>
</element>
<expression label="txt标题" exp=""特殊角的三角函数值""/>
<element type="text" label="txt标题">
<show object="true" label="true" ev="40"/>
<objColor r="153" g="51" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="true" sizeM="2" size="12" style="1"/>
<absoluteScreenLocation x="309" y="20"/>
</element>
<command name="Circle">
<input a0="Intersect[xAxis, yAxis]" a1="1"/>
<output a0="c"/>
</command>
<element type="conic" label="c">
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<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="specific"/>
</element>
<command name="Sequence">
<input a0="Segment[(0, 0), (cos((i * π / 12)), sin((i * π / 12)))]" a1="i" a2="0" a3="23"/>
<output a0="rP12"/>
</command>
<element type="list" label="rP12">
<show object="true" label="false" ev="4"/>
<condition showObject="fm12"/>
<objColor r="192" g="192" b="192" alpha="0"/>
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SetBackgroundColor(tanf2,"蓝绿")
SetBackgroundColor(tanf3,"蓝绿")
SetBackgroundColor(tanf4,"蓝绿")
SetBackgroundColor(tanf5,"蓝绿")
SetBackgroundColor(%0,"红色")
SetValue(txtSel,Name(%0))"/>
</element>
<command name="LaTeX">
<input a0=""\sqrt3"" a1="true" a2="true"/>
<output a0="tanz4"/>
</command>
<element type="text" label="tanz4">
<show object="true" label="true" ev="8"/>
<condition showObject="hsmc ≟ "tan""/>
<objColor r="0" g="0" b="0" alpha="0"/>
<bgColor r="175" g="238" b="238" alpha="255"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="false" sizeM="1.4" size="5" style="1"/>
<auxiliary val="true"/>
<absoluteScreenLocation x="316" y="291"/>
<ggbscript val="SetBackgroundColor(tanz0,"蓝绿")
SetBackgroundColor(tanz1,"蓝绿")
SetBackgroundColor(tanz2,"蓝绿")
SetBackgroundColor(tanz3,"蓝绿")
SetBackgroundColor(tanz4,"蓝绿")
SetBackgroundColor(tanz5,"蓝绿")
SetBackgroundColor(tan6,"蓝绿")
SetBackgroundColor(tanf1,"蓝绿")
SetBackgroundColor(tanf2,"蓝绿")
SetBackgroundColor(tanf3,"蓝绿")
SetBackgroundColor(tanf4,"蓝绿")
SetBackgroundColor(tanf5,"蓝绿")
SetBackgroundColor(%0,"红色")
SetValue(txtSel,Name(%0))"/>
</element>
<command name="LaTeX">
<input a0=""2+\sqrt3"" a1="true" a2="true"/>
<output a0="tanz5"/>
</command>
<element type="text" label="tanz5">
<show object="true" label="true" ev="8"/>
<condition showObject="hsmc ≟ "tan""/>
<objColor r="0" g="0" b="0" alpha="0"/>
<bgColor r="175" g="238" b="238" alpha="255"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="false" sizeM="1.4" size="5" style="1"/>
<auxiliary val="true"/>
<absoluteScreenLocation x="317" y="107"/>
<ggbscript val="SetBackgroundColor(tanz0,"蓝绿")
SetBackgroundColor(tanz1,"蓝绿")
SetBackgroundColor(tanz2,"蓝绿")
SetBackgroundColor(tanz3,"蓝绿")
SetBackgroundColor(tanz4,"蓝绿")
SetBackgroundColor(tanz5,"蓝绿")
SetBackgroundColor(tan6,"蓝绿")
SetBackgroundColor(tanf1,"蓝绿")
SetBackgroundColor(tanf2,"蓝绿")
SetBackgroundColor(tanf3,"蓝绿")
SetBackgroundColor(tanf4,"蓝绿")
SetBackgroundColor(tanf5,"蓝绿")
SetBackgroundColor(%0,"红色")
SetValue(txtSel,Name(%0))"/>
</element>
<command name="Mod">
<input a0="numa" a1="12"/>
<output a0="numat12"/>
</command>
<element type="numeric" label="numat12">
<value val="1"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
</element>
<command name="If">
<input a0="numat12 > 6" a1="numat12 - 12" a2="numat12"/>
<output a0="numat6"/>
</command>
<element type="numeric" label="numat6">
<value val="1"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
</element>
<command name="If">
<input a0="abs(numat6) ≟ 6" a1=""tan6"" a2="If[numat6 ≥ 0, ("tanz" * numat6), ("tanf" * abs(numat6))]"/>
<output a0="nameTan"/>
</command>
<element type="text" label="nameTan">
<show object="false" label="true" ev="8"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
</element>
<command name="LaTeX">
<input a0=""0""/>
<output a0="cosz6"/>
</command>
<element type="text" label="cosz6">
<show object="false" label="true" ev="8"/>
<condition showObject="hsmc ≟ "cos""/>
<objColor r="128" g="0" b="0" alpha="0.10000000149011612"/>
<bgColor r="175" g="238" b="238" alpha="255"/>
<layer val="0"/>
<labelMode val="1"/>
<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="false" sizeM="1.4" size="5" style="1"/>
<auxiliary val="true"/>
<absoluteScreenLocation x="425" y="324"/>
<ggbscript val="SetBackgroundColor(cosz0,"蓝绿")
SetBackgroundColor(cosz1,"蓝绿")
SetBackgroundColor(cosz2,"蓝绿")
SetBackgroundColor(cosz3,"蓝绿")
SetBackgroundColor(cosz4,"蓝绿")
SetBackgroundColor(cosz5,"蓝绿")
SetBackgroundColor(cosz6,"蓝绿")
SetBackgroundColor(cosz7,"蓝绿")
SetBackgroundColor(cosz8,"蓝绿")
SetBackgroundColor(cosz9,"蓝绿")
SetBackgroundColor(cosz10,"蓝绿")
SetBackgroundColor(cosz11,"蓝绿")
SetBackgroundColor(cosz12,"蓝绿")
SetBackgroundColor(%0,"红色")
SetValue(txtSel,Name(%0))"/>
</element>
<command name="LaTeX">
<input a0=""1""/>
<output a0="cosz0"/>
</command>
<element type="text" label="cosz0">
<show object="false" label="true" ev="8"/>
<condition showObject="hsmc ≟ "cos""/>
<objColor r="128" g="0" b="0" alpha="0"/>
<bgColor r="175" g="238" b="238" alpha="255"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="false" sizeM="1.4" size="5" style="1"/>
<auxiliary val="true"/>
<absoluteScreenLocation x="425" y="248"/>
<ggbscript val="SetBackgroundColor(cosz0,"蓝绿")
SetBackgroundColor(cosz1,"蓝绿")
SetBackgroundColor(cosz2,"蓝绿")
SetBackgroundColor(cosz3,"蓝绿")
SetBackgroundColor(cosz4,"蓝绿")
SetBackgroundColor(cosz5,"蓝绿")
SetBackgroundColor(cosz6,"蓝绿")
SetBackgroundColor(cosz7,"蓝绿")
SetBackgroundColor(cosz8,"蓝绿")
SetBackgroundColor(cosz9,"蓝绿")
SetBackgroundColor(cosz10,"蓝绿")
SetBackgroundColor(cosz11,"蓝绿")
SetBackgroundColor(cosz12,"蓝绿")
SetBackgroundColor(%0,"红色")
SetValue(txtSel,Name(%0))"/>
</element>
<element type="boolean" label="isTiShi">
<value val="false"/>
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="27" y="371"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
<caption val="提示"/>
</element>
<expression label="text1" exp=""起始弧度""/>
<element type="text" label="text1">
<show object="true" label="true" ev="40"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<font serif="false" sizeM="1.4" size="5" style="0"/>
<absoluteScreenLocation x="26" y="137"/>
</element>
<expression label="text2" exp=""周期跨度""/>
<element type="text" label="text2">
<show object="true" label="true" ev="40"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<font serif="false" sizeM="1.4" size="5" style="0"/>
<absoluteScreenLocation x="26" y="175"/>
</element>
<expression label="text3" exp=""" + (If[starta ≟ 0, "0", (starta * " π ")]) + """ />
<element type="text" label="text3">
<show object="true" label="true" ev="40"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="true" sizeM="1.4" size="5" style="1"/>
<absoluteScreenLocation x="236" y="137"/>
</element>
<expression label="text4" exp=""" + (LaTeX[(FractionText[(cycles * 2)] * π)]) + """ />
<element type="text" label="text4">
<show object="true" label="true" ev="8"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="true" sizeM="1.4" size="5" style="0"/>
<absoluteScreenLocation x="231" y="150"/>
</element>
<expression label="lbResults" exp="{{"题号", "题目", "回答", "验证"}, {"1", "\cos \frac{ 1 }{ 2 } π ", "0", "true"}, {"2", "\sin \frac{ 7 }{ 4 } π ", "-\frac{\sqrt2}{2}", "true"}, {"3", "\cos \frac{ 7 }{ 12 } π ", "\frac{\sqrt6-\sqrt2}{4}", "false"}, {"4", "\tan \frac{ 1 }{ 12 } π ", "2-\sqrt3", "true"}}"/>
<element type="list" label="lbResults">
<show object="false" label="false"/>
<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"/>
</element>
<element type="button" label="btnReset">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="635" y="11"/>
<labelMode val="3"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="SetValue(count,0)
SetValue(numTrue,0)
SetValue(lbResults,{{"题号","题目","回答","验证"}})
SetValue(showa,"")
SetValue(txtResults,LaTeX("$问题数：0\\正确数：0\\正确率：0%$",true,true))"/>
<caption val="重置统计数据"/>
</element>
<element type="numeric" label="count">
<value val="4"/>
<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="100" absoluteScreenLocation="true" width="200" fixed="false" horizontal="true" showAlgebra="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
<element type="numeric" label="numTrue">
<value val="3"/>
<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="100" absoluteScreenLocation="true" width="200" fixed="false" horizontal="true" showAlgebra="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
<expression label="txtResults" exp=""$问题数：4\\正确数：3\\正确率：75\%$""/>
<element type="text" label="txtResults">
<show object="true" label="true" ev="40"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="3"/>
<fixed val="true"/>
<isLaTeX val="true"/>
<font serif="true" sizeM="1.4" size="5" style="0"/>
<absoluteScreenLocation x="401" y="454"/>
</element>
<element type="boolean" label="isNew">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="300" y="526"/>
<labelMode val="0"/>
<auxiliary val="true"/>
<checkbox fixed="true"/>
</element>
<command name="TableText">
<input a0="lbResults" a1=""|_c""/>
<output a0="txtLbResults"/>
</command>
<element type="text" label="txtLbResults">
<show object="true" label="true" ev="8"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<isLaTeX val="true"/>
<font serif="false" sizeM="0.7" size="-4" style="0"/>
<absoluteScreenLocation x="620" y="57"/>
</element>
<command name="If">
<input a0="hsmc ≟ "sin"" a1="txtSel ≟ nameSin" a2="If[hsmc ≟ "cos", txtSel ≟ nameCos, txtSel ≟ nameTan]"/>
<output a0="isRight"/>
</command>
<element type="boolean" label="isRight">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<expression label="lbResult" exp="{LaTeX[count], LaTeX[showa], LaTeX[Object[txtSel]], LaTeX[isRight]}" />
<element type="list" label="lbResult">
<show object="false" label="false" ev="4"/>
<objColor r="0" g="100" b="0" alpha="0.10000000149011612"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
<symbolic val="true" />
</element>
<command name="Segment">
<input a0="(0, 0)" a1="(cos((numa * π / 12)), sin((numa * π / 12)))"/>
<output a0="tiShi"/>
</command>
<element type="segment" label="tiShi">
<show object="true" label="false" ev="4"/>
<condition showObject="isTiShi"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-0.25881904510252074" y="0.9659258262890683" z="0"/>
<lineStyle thickness="9" type="30" typeHidden="1" opacity="178"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
</construction>
</geogebra>