Änderungen von Dokument BPE 1.1 Zahlenmengen, Mengen und Intervalle
Zuletzt geändert von Martina Wagner am 2025/02/04 20:02
Von Version 37.1
bearbeitet von Torben Würth
am 2023/12/03 20:05
am 2023/12/03 20:05
Änderungskommentar:
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Auf Version 38.1
bearbeitet von Holger Engels
am 2023/12/04 08:22
am 2023/12/04 08:22
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Zusammenfassung
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Seiteneigenschaften (2 geändert, 0 hinzugefügt, 0 gelöscht)
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... ... @@ -1,1 +1,1 @@ 1 -XWiki. torbenwuerth1 +XWiki.holgerengels - Inhalt
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... ... @@ -31,26 +31,26 @@ 31 31 32 32 {{aufgabe id="Ist Element von oder ist nicht Element von?" afb="I" kompetenzen="K4" quelle="Torben Würth" cc="BY-SA" zeit="10"}} 33 33 Vervollständige die nachstehende Tabelle. 34 -(% style="background-color:red;text-align:center" %)35 -|=|= (% style="background-color:yellow" %){{formula}}\mathbb{N}{{/formula}}|={{formula}}\mathbb{N}_0{{/formula}}|=(% style="background-color:yellow" %){{formula}}\mathbb{Z}^-{{/formula}}|={{formula}}\mathbb{Z}_+{{/formula}}|=(% style="background-color:yellow" %){{formula}}\mathbb{Z}{{/formula}}|={{formula}}\mathbb{Q}^-{{/formula}}|=(% style="background-color:yellow" %){{formula}}\mathbb{Q}^+{{/formula}}|={{formula}}\mathbb{Q}{{/formula}}|=(% style="background-color:yellow" %){{formula}}\mathbb{R}^-{{/formula}}|={{formula}}\mathbb{R}^+{{/formula}}|=(% style="background-color:yellow" %){{formula}}\mathbb{R}{{/formula}}36 -|= {{formula}}\frac{3}{4}{{/formula}}|= (% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)37 -|= {{formula}}\frac{-4}{5}{{/formula}}|= (% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)38 -|= {{formula}}-\frac{6}{5}{{/formula}}|= (% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)39 -|= {{formula}}\frac{10}{2}{{/formula}}|= (% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)40 -|= {{formula}}4{{/formula}}|= (% style="background-color:yellow" %){{formula}}\in{{/formula}}|{{formula}}\in{{/formula}}|(% style="background-color:yellow" %){{formula}}\notin{{/formula}}|{{formula}}\in{{/formula}}|=(% style="background-color:yellow" %){{formula}}\in{{/formula}}|{{formula}}\notin{{/formula}}|=(% style="background-color:yellow" %){{formula}}\in{{/formula}}|{{formula}}\in{{/formula}}|=(% style="background-color:yellow" %){{formula}}\notin{{/formula}}|{{formula}}\in{{/formula}}|=(% style="background-color:yellow" %){{formula}}\in{{/formula}}41 -|= {{formula}}0{{/formula}}|= (% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)42 -|= {{formula}}-6{{/formula}}|= (% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)43 -|= {{formula}}\sqrt[4]{16}{{/formula}}|= (% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)44 -|= {{formula}}\sqrt{4}{{/formula}}|= (% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)45 -|= {{formula}}\sqrt{5}{{/formula}}|= (% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)46 -|= {{formula}}(-3)^5{{/formula}}|= (% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)47 -|= {{formula}}3^{-1}{{/formula}}|= (% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)48 -|= {{formula}}(-2)^{-2}{{/formula}}|= (% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)49 -|= {{formula}}tan 45^{o}{{/formula}}|= (% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)|=|=(% style="background-color:yellow" %)34 +(% class="border" %) 35 +|=|={{formula}}\mathbb{N}{{/formula}}|={{formula}}\mathbb{N}_0{{/formula}}|={{formula}}\mathbb{Z}^-{{/formula}}|={{formula}}\mathbb{Z}_+{{/formula}}|={{formula}}\mathbb{Z}{{/formula}}|={{formula}}\mathbb{Q}^-{{/formula}}|={{formula}}\mathbb{Q}^+{{/formula}}|={{formula}}\mathbb{Q}{{/formula}}|={{formula}}\mathbb{R}^-{{/formula}}|={{formula}}\mathbb{R}^+{{/formula}}|={{formula}}\mathbb{R}{{/formula}} 36 +|= {{formula}}\frac{3}{4}{{/formula}}|=|=|=|=|=|=|=|=|=|=|= 37 +|= {{formula}}\frac{-4}{5}{{/formula}}|=|=|=|=|=|=|=|=|=|=|= 38 +|= {{formula}}-\frac{6}{5}{{/formula}}|=|=|=|=|=|=|=|=|=|=|= 39 +|= {{formula}}\frac{10}{2}{{/formula}}|=|=|=|=|=|=|=|=|=|=|= 40 +|= {{formula}}4{{/formula}}|={{formula}}\in{{/formula}}|{{formula}}\in{{/formula}}|{{formula}}\notin{{/formula}}|{{formula}}\in{{/formula}}|={{formula}}\in{{/formula}}|{{formula}}\notin{{/formula}}|={{formula}}\in{{/formula}}|{{formula}}\in{{/formula}}|={{formula}}\notin{{/formula}}|{{formula}}\in{{/formula}}|={{formula}}\in{{/formula}} 41 +|= {{formula}}0{{/formula}}|=|=|=|=|=|=|=|=|=|=|= 42 +|= {{formula}}-6{{/formula}}|=|=|=|=|=|=|=|=|=|=|= 43 +|= {{formula}}\sqrt[4]{16}{{/formula}}|=|=|=|=|=|=|=|=|=|=|= 44 +|= {{formula}}\sqrt{4}{{/formula}}|=|=|=|=|=|=|=|=|=|=|= 45 +|= {{formula}}\sqrt{5}{{/formula}}|=|=|=|=|=|=|=|=|=|=|= 46 +|= {{formula}}(-3)^5{{/formula}}|=|=|=|=|=|=|=|=|=|=|= 47 +|= {{formula}}3^{-1}{{/formula}}|=|=|=|=|=|=|=|=|=|=|= 48 +|= {{formula}}(-2)^{-2}{{/formula}}|=|=|=|=|=|=|=|=|=|=|= 49 +|= {{formula}}tan 45^{o}{{/formula}}|=|=|=|=|=|=|=|=|=|=|= 50 50 {{/aufgabe}} 51 51 52 52 {{aufgabe id="Beziehungen zwischen Mengen, Mächtigkeit von Mengen" afb="I" kompetenzen="K4" quelle="Torben Würth" cc="BY-SA" zeit="15"}} 53 -Schau Dir die Mengen {{formula}}A=\{1,3,4,5,9\}{{/formula}}; {{formula}}B=\{3,5,6,7,8\}{{/formula}}; {{formula}}C=\{\frac{6}{2}, \frac{1}{3}, \frac{7}{5}\}{{/formula}}, {{formula}}D=\{1,-3,4,5,9\}{{/formula}} und {{formula}}E=\{\frac{2}{6}, \frac{5}{6}, \frac{6}{7}, \frac{7}{8}, \frac{8}{9}\}{{/formula}} an.53 +Schau dir die Mengen {{formula}}A=\{1,3,4,5,9\}{{/formula}}; {{formula}}B=\{3,5,6,7,8\}{{/formula}}; {{formula}}C=\{\frac{6}{2}, \frac{1}{3}, \frac{7}{5}\}{{/formula}}, {{formula}}D=\{1,-3,4,5,9\}{{/formula}} und {{formula}}E=\{\frac{2}{6}, \frac{5}{6}, \frac{6}{7}, \frac{7}{8}, \frac{8}{9}\}{{/formula}} an. 54 54 55 55 Entscheide (mit Begründung), ob folgende Aussagen richtig oder falsch sind: 56 56 1) {{formula}}A\subset B{{/formula}}