角的测量与分类
2012-11-30 03:18
本范例演示了如何使用量角器测量角的大小，并根据角度大小对角进行分类（如锐角、直角、钝角等）。通过交互式操作，用户可以直观地观察角的形成过程，学习量角器的正确使用方法，并掌握不同类别角的特征。适合初中几何基础教学，帮助学生建立角的概念与度量体系。
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<ggbscript val="SetBackgroundColor[textCat4, If[Cat==4,"Yellow","LightGray"]]"/>
</element>
<expression label="text1" exp=""∠BAC" + (If[lang ≟ 1, " 是", " is"]) + """ />
<element type="text" label="text1">
<show object="true" label="false" ev="11"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="3"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<font serif="false" sizeM="1.4" size="8" style="0"/>
<startPoint x="-3.9400000000000004" y="1.3800000000000012" z="1"/>
</element>
<command name="If">
<input a0="P ≟ A" a1="Line[P, C]"/>
<output a0="L2"/>
</command>
<element type="line" label="L2">
<show object="false" label="true" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="3"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<coords x="NaN" y="NaN" z="NaN"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="ClosestPoint">
<input a0="L2" a1="Q"/>
<output a0="H2"/>
</command>
<element type="point" label="H2">
<show object="false" label="true" ev="4"/>
<objColor r="125" g="125" b="255" alpha="0"/>
<layer val="3"/>
<labelOffset x="-14" y="37"/>
<labelMode val="0"/>
<coords x="NaN" y="NaN" z="NaN"/>
<pointSize val="4"/>
<pointStyle val="0"/>
</element>
<command name="If">
<input a0="P ≟ A" a1="Line[P, B]"/>
<output a0="L1"/>
</command>
<element type="line" label="L1">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="3"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<coords x="NaN" y="NaN" z="NaN"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<eqnStyle style="implicit"/>
</element>
<command name="ClosestPoint">
<input a0="L1" a1="Q"/>
<output a0="H1"/>
</command>
<element type="point" label="H1">
<show object="false" label="true" ev="4"/>
<objColor r="125" g="125" b="255" alpha="0"/>
<layer val="3"/>
<labelMode val="0"/>
<coords x="NaN" y="NaN" z="NaN"/>
<pointSize val="4"/>
<pointStyle val="0"/>
</element>
<command name="If">
<input a0="(angle > 0°) ∧ (angle < 90°)" a1="1" a2="angle ≟ 90°" a3="2" a4="(angle > 90°) ∧ (angle < 180°)" a5="3" a6="angle ≟ 180°" a7="4" a8="(angle > 180°) ∧ (angle < 270°)" a9="5"/>
<output a0="Cat"/>
</command>
<element type="numeric" label="Cat">
<value val="1"/>
<symbolic val="true" />
<objColor r="0" g="0" b="255" alpha="0.1"/>
<selectionAllowed val="false"/>
</element>
<element type="button" label="buttonReset">
<show object="false" label="true" ev="3"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="3"/>
<labelOffset x="166" y="561"/>
<labelMode val="0"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="SetBackgroundColor[textCat1,""] SetBackgroundColor[textCat2,""] SetBackgroundColor[textCat3,""] SetBackgroundColor[textCat4,""] SetBackgroundColor[textCat5,""]"/>
<font serif="false" sizeM="2" size="20" style="0"/>
<caption val="reset"/>
</element>
<expression label="textQ" exp=""" + (If[lang ≟ 1, "若正確點撃角的分類，文字的背景會變成黃色", "If the correct answer is clicked, the background will turn yellow."]) + """ />
<element type="text" label="textQ">
<show object="true" label="true" ev="11"/>
<objColor r="96" g="96" b="96" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<font serif="false" sizeM="0.7" size="-6" style="0"/>
<startPoint x="-3.9400000000000004" y="-4.799999999999999" z="1"/>
</element>
</construction>
</geogebra>