Geometric Construction and Locus of Segments PA + PB

2017-11-04 12:48

This applet demonstrates the geometric construction of the sum of segments PA + PB. By moving point P, users observe the length changes and the generated locus. Incorporating circles, polygons, and transformations, it provides interactive visualization for coordinate geometry and geometric constructions.

#geometry-construction #locus #coordinate-geometry #transform

In collections 不等式

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Geometric Construction and Locus of Segments PA + PB

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</element>
<cascell caslabel="vPM" >
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		<inputCell>
			<expression value="vPM:=M-X"  eval="Evaluate(M - X)" evalCmd=""/>
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		<outputCell>
			<expression value="vPM:=(1 - x, 1 - y, 7 / 2 - z)" native="true"/>
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<cascell caslabel="vAB" >
	<cellPair>
		<inputCell>
			<expression value="vAB:=B-A"  eval="Evaluate(B - A)" evalCmd=""/>
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		<outputCell>
			<expression value="vAB:=(12, 6, (-5))" native="true"/>
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</cascell>
<element type="vector3d" label="vAB">
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<expression label="Bx" exp="(x(B), 0, 0)" type="point" />
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<element type="segment3d" label="BBx">
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<element type="point3d" label="B&apos;">
	<show object="true" label="false" ev="5"/>
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<element type="segment3d" label="PB&apos;">
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</geogebra>