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Imaginärteil ablesen
komplex-01-01b
multiple
272
randRange( -8, 8 ) randRangeExclude( -8, 8, [ REAL ] ) complexNumber( REAL, IMAG )

Bestimmen Sie den Imaginärteil der Komplexen Zahl \color{red}z:

graphInit({ range: [[-10, 10], [-10, 10]], scale: 20, tickStep: 2, labelStep: 1, }); label( [10, 0.5], "\\operatorname{Re}", "left" ); label( [0.5, 9.5], "\\operatorname{Im}", "right" ); label( [REAL, IMAG], "\\color{red} \\large z", "left" ); circle( [REAL, IMAG], 3 / 15, { fill: RED, stroke: "none" });
y \color{blue}\operatorname{Im}(z) = \Im(z) = IMAG

Der Imaginärteil ist die \color{blue}y-Koordinate einer Komplexen Zahl z= {\color{orange}x} + {\color{blue}y} \cdot i .

path([ [0,0], [0, IMAG]], { stroke: BLUE, strokeWidth: 5.2 }); path([ [REAL, IMAG], [0, IMAG]], { stroke: ORANGE, strokeWidth: 2.2, strokeDasharray: "." });

Also hier \color{blue}\operatorname{Im}(z) = \Im(z) = IMAG.