链式法则动态演示
2018-04-04 11:33
本范例通过 GeoGebra 动态演示微积分中的链式法则。通过构造复合函数及其导数的几何图像，直观展示外层函数与内层函数在求导过程中的变化关系。结合多边形、线段和角度等几何对象，帮助用户深入理解链式法则的几何意义与计算过程。
GeoGebra 画板及绘图内容加载中，请稍等……
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<input a0="(x0, z0)" a1="(x1, z0)" a2="3" a3="arrWidth" a4="arrHead" a5="arrShaft" a6="arrPad" a7="false"/>
<output a0="ddx_5" a1="ddx_6" a2="Pdx"/>
</command>
<element type="polygon3d" label="ddx_5">
<lineStyle thickness="2" type="0" typeHidden="2"/>
<show object="true" label="false" ev="7"/>
<objColor r="255" g="0" b="0" alpha="0.75"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<element type="polygon3d" label="ddx_6">
<lineStyle thickness="2" type="0" typeHidden="2"/>
<show object="true" label="false" ev="7"/>
<objColor r="255" g="0" b="0" alpha="0.75"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<element type="point3d" label="Pdx">
<show object="false" label="false" ev="7"/>
<objColor r="255" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="3"/>
<selectionAllowed val="false"/>
<coords x="4.152660034268227" y="0.0" z="0.7750869875750703" w="1.0"/>
<pointSize val="3"/>
<caption val="dx"/>
</element>
<command name="PlaneStringCentered">
<input a0=""Δx"" a1="PointXZ[Pdx]" a2="3" a3="true" a4="txtHight" a5="txtBase" a6="txtXHeight" a7="txtWidth" a8="txtKern"/>
<output a0="strdx3"/>
</command>
<element type="list" label="strdx3">
<show object="true" label="false" ev="4"/>
<objColor r="128" g="0" b="128" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<lineStyle thickness="2" type="0" typeHidden="2"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<command name="PointIn">
<input a0="b"/>
<output a0="K"/>
</command>
<element type="point3d" label="K">
<show object="false" label="true" ev="4"/>
<objColor r="125" g="125" b="255" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="0" playing="false"/>
<selectionAllowed val="false"/>
<coords x="-0.1" y="4.352462011537912" z="4.690194302379676" w="1.0"/>
<pointSize val="5"/>
</element>
<command name="PlaneStringCentered">
<input a0=""chain rule"" a1="PointYZ[K]" a2="2" a3="false" a4="(2 * txtHight)" a5="txtBase" a6="txtXHeight" a7="txtWidth" a8="txtKern"/>
<output a0="strChainRule"/>
</command>
<element type="list" label="strChainRule">
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<lineStyle thickness="7" type="0" typeHidden="2"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
</construction>
</geogebra>