Geometric Construction of Geometric Mean and Linear Optimization
2021-07-30 15:37
This GeoGebra applet demonstrates the geometric mean and linear optimization through dynamic constructions. Using polygons, vectors, angles, and sequences with dynamic coordinates, it visually presents mean inequalities and curve sketching. This interactive model helps learners understand geometric extremum problems and optimization theory.
In collections
Exploring Triangle Congruence Conditions
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<command name="If">
<input a0="C ≟ G' ∧ C' ≟ G'" a1="true" a2="false"/>
<output a0="closed2"/>
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<element type="boolean" label="closed2">
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<expression label="text1" exp=""拖拉紅點，構作一個滿足以下條件的著色的△PQR：
PR = AC, PQ = AB, ∠Q = ∠B。
△PQR 是否必定全等於 △ABC？ ""/>
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<output a0="t3" a1="f_1" a2="d_1" a3="e"/>
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<element type="segment" label="e">
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<command name="Angle">
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<output a0="β"/>
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<element type="angle" label="β">
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<value val="0.7853981633974483"/>
<show object="true" label="true" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
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<labelMode val="2"/>
<lineStyle thickness="5" type="0" typeHidden="2" opacity="178"/>
<arcSize val="50"/>
</element>
</construction>
</geogebra>