直角坐标系几何变换互动测验
2015-02-11 02:25
本互动测验针对直角坐标系中的几何变换进行练习，涵盖平移（Translate）、反射/镜像（Mirror）和旋转（Rotate）三种基本变换。学生通过交互式界面作答，系统利用随机出题、自动判分与即时反馈（正确/错误提示）帮助巩固二维变换概念，支持多语言切换与计分统计，适合中学数学课堂复习与自测。
所属专题
坐标几何（中一）GeoGebra互动教材
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SetVisibleInView[buttonCheck,2,false]
SetVisibleInView[buttonNext,2,true]
SetVisibleInView[Ans,1,true]
SetValue[marks1,If[qType==1,If[correct,marks1+1,marks1-1],marks1]]
SetValue[marks2,If[qType==2,If[correct,marks2+1,marks2-1],marks2]]
SetValue[marks3,If[qType==3,If[correct,marks3+1,marks3-1],marks3]]
SelectObjects()"/>
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SetValue[b,Random[minY, maxY]]
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SetVisibleInView[picWrong,2,false]
SetVisibleInView[buttonCheck,2,true]
SetVisibleInView[buttonNext,2,false]
SetVisibleInView[P',1,false]
SetVisibleInView[Ans,1,false]

SetValue[listXchoice,11]
SetValue[listYchoice,11]

SetActiveView[1]
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<input a0="P" a1="If[reflect ≟ "x", y = 0, x = 0]"/>
<output a0="P_{ref}"/>
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<element type="point" label="P_{ref}">
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<file name="4e68e4a49563f321b40f493ba3192f5f/tears-of-joy.png"/>
<inBackground val="false"/>
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<element type="button" label="button0">
<show object="true" label="true" ev="3"/>
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<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" ev="3"/>
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<auxiliary val="true"/>
<ggbscript val="SetCaption[button0,If[lang==1,"ENG","中文"]]
SetCaption[buttonNext,If[lang==1,"下一題","Next"]]
SetCaption[buttonCheck,If[lang==1,"核對","Check"]]
SetCaption[q1,If[lang==1,"平移","Translation"]]
SetCaption[q2,If[lang==1,"反射","Reflection"]]
SetCaption[q3,If[lang==1,"旋轉","Rotation"]]
SetCaption[P',If[lang==1,"正確答案","Correct answer"]]
SetCaption[Ans,If[lang==1,"你的答案","Your answer"]]"/>
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<element type="numeric" label="lang">
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<symbolic val="true" />
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<layer val="3"/>
<labelMode val="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
<expression label="textInfo" exp=""" + (If[lang ≟ 1, "選擇題型：", "Question types:"]) + """ />
<element type="text" label="textInfo">
<show object="true" label="false" ev="11"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
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<expression label="textAns" exp=""" + (If[lang ≟ 1, "答案：", "Answer:"]) + """ />
<element type="text" label="textAns">
<show object="true" label="true" ev="11"/>
<condition showObject="listQtype ≠ {}"/>
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<layer val="1"/>
<labelMode val="3"/>
<selectionAllowed val="false"/>
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<command name="If">
<input a0="tran ≟ "上"" a1=""up"" a2="tran ≟ "下"" a3=""down"" a4="tran ≟ "左"" a5=""to the left"" a6="tran ≟ "右"" a7=""to the right""/>
<output a0="tranENG"/>
</command>
<element type="text" label="tranENG">
<show object="false" label="false" ev="11"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="3"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<startPoint x="-7.313883074102118" y="-3.9549145511811443" z="1"/>
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<expression label="textMarks" exp=""" + (If[lang ≟ 1, "分數(平移)", "Marks (Translation)"]) + " = " + marks1 + "\\n" + (If[lang ≟ 1, "分數(反射)", "Marks (Reflection)"]) + " = " + marks2 + "\\n" + (If[lang ≟ 1, "分數(旋轉)", "Marks (Rotation)"]) + " = " + marks3 + """ />
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<show object="true" label="false" ev="11"/>
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<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<selectionAllowed val="false"/>
<absoluteScreenLocation x="11" y="553"/>
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<expression label="text1eng" exp=""Find the image of P" + P + " \\nunder a translation of\\n" + t + " unit" + (If[t ≟ 1, "", "s"]) + " " + tranENG + "."" />
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<show object="false" label="false" ev="11"/>
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<font serif="false" sizeM="1.2" size="4" style="0"/>
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<expression label="text2eng" exp=""Find the image of P" + P + "\\nunder a reflection about\\nthe " + reflect + "-axis."" />
<element type="text" label="text2eng">
<show object="false" label="false" ev="11"/>
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<selectionAllowed val="false"/>
<font serif="false" sizeM="1.2" size="4" style="0"/>
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</element>
<expression label="text3eng" exp=""Find the image of P" + P + "\\nunder a rotation of " + theta + "\\nabout the origin\\nin " + (If[rotate ≟ -1, "clockwise", "anticlockwise"]) + " direction."" />
<element type="text" label="text3eng">
<show object="false" 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="1.2" size="4" style="0"/>
<absoluteScreenLocation x="13" y="31"/>
</element>
<expression label="textQ" exp=""" + (If[qType ≟ 1, text1, qType ≟ 2, text2, text3]) + """ />
<element type="text" label="textQ">
<show object="true" label="true" ev="11"/>
<condition showObject="listQtype ≠ {} ∧ lang ≟ 1"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<font serif="false" sizeM="1.4" size="8" style="0"/>
<absoluteScreenLocation x="13" y="40"/>
</element>
<expression label="textQeng" exp=""" + (If[qType ≟ 1, text1eng, qType ≟ 2, text2eng, text3eng]) + """ />
<element type="text" label="textQeng">
<show object="true" label="false" ev="11"/>
<condition showObject="listQtype ≠ {} ∧ lang ≠ 1"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="3"/>
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<font serif="false" sizeM="1.2" size="4" style="0"/>
<startPoint x="-8.933244989234717" y="4.105957720023451" z="1"/>
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<element type="point" label="A">
<show object="false" label="true" ev="11"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="3"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<pointSize val="5"/>
<pointStyle val="0"/>
<coords x="-5" y="-7" z="1"/>
</element>
<element type="point" label="B">
<show object="false" label="true" ev="11"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="3"/>
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<pointSize val="5"/>
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<element type="image" label="picStar1">
<file name="a1438ea254ee24f940dc2e1cb2430ccf/star.png"/>
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<startPoint number="0" exp="A"/>
<startPoint number="1" exp="B"/>
<show object="true" label="false" ev="3"/>
<condition showObject="marks1 ≥ 20"/>
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<layer val="3"/>
<labelMode val="0"/>
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<element type="point" label="C">
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<element type="point" label="D">
<show object="false" label="true" ev="11"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="3"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<pointSize val="5"/>
<pointStyle val="0"/>
<coords x="-4" y="-8" z="1"/>
</element>
<element type="image" label="picStar2">
<file name="a1438ea254ee24f940dc2e1cb2430ccf/star.png"/>
<inBackground val="false"/>
<startPoint number="0" exp="C"/>
<startPoint number="1" exp="D"/>
<show object="true" label="false" ev="3"/>
<condition showObject="marks2 ≥ 20"/>
<objColor r="0" g="0" b="0" alpha="1"/>
<layer val="3"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="0" playing="false"/>
<selectionAllowed val="false"/>
</element>
<element type="point" label="E">
<show object="false" label="true" ev="11"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="3"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<pointSize val="5"/>
<pointStyle val="0"/>
<coords x="-5" y="-9" z="1"/>
</element>
<element type="point" label="F">
<show object="false" label="true" ev="11"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="3"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<pointSize val="5"/>
<pointStyle val="0"/>
<coords x="-4" y="-9" z="1"/>
</element>
<element type="image" label="picStar3">
<file name="a1438ea254ee24f940dc2e1cb2430ccf/star.png"/>
<inBackground val="false"/>
<startPoint number="0" exp="E"/>
<startPoint number="1" exp="F"/>
<show object="true" label="false" ev="3"/>
<condition showObject="marks3 ≥ 20"/>
<objColor r="0" g="0" b="0" alpha="1"/>
<layer val="3"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="0" playing="false"/>
<selectionAllowed val="false"/>
</element>
</construction>
</geogebra>