诱导公式三：三角函数的x轴对称关系演示
2020-03-14 02:16
本GeoGebra范例动态演示了三角函数的诱导公式三，即关于x轴对称的角之间的三角函数值关系。通过单位圆上的点及其关于x轴的对称点，结合几何作图与坐标计算，直观展示了正弦、余弦和正切值在x轴对称变换下的符号与数值变化规律，帮助学生深入理解三角函数的奇偶性与对称性质。
所属专题
中职数学GeoGebra互动教学资源库
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<checkbox fixed="true"/>
<caption val="正切"/>
</element>
<command name="If">
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<output a0="txtTheta"/>
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<element type="text" label="txtTheta">
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<element type="polygon" label="t2">
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<element type="segment" label="sinP'">
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<command name="CurveCartesian">
<input a0="(rp'(t) * cos(t))" a1="(rp'(t) * sin(t))" a2="t" a3="Min[0, (-theta)]" a4="Max[0, (-theta)]"/>
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<element type="curvecartesian" label="d">
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<expression label="txtSins" exp=""\sin(" + (LaTeX[theta]) + ")=" + (LaTeX[sin(theta)]) + "\\
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<element type="text" label="txtSins">
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<condition showObject="isSin"/>
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<expression label="txtCoss" exp=""\cos(" + (LaTeX[theta]) + ")=" + (LaTeX[cos(theta)]) + "\\
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<expression label="txtTans" exp=""\tan(" + (LaTeX[theta]) + ")=" + (LaTeX[tan(theta)]) + "\\
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<element type="text" label="txtTans">
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<condition showObject="isTan"/>
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