Änderungen von Dokument BPE 1.1 Zahlenmengen, Mengen und Intervalle
Zuletzt geändert von Martina Wagner am 2025/02/04 20:02
Von Version 35.2
bearbeitet von Torben Würth
am 2023/12/03 20:01
am 2023/12/03 20:01
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Auf Version 24.1
bearbeitet von Torben Würth
am 2023/12/01 16:34
am 2023/12/01 16:34
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Zusammenfassung
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Seiteneigenschaften (1 geändert, 0 hinzugefügt, 0 gelöscht)
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... ... @@ -29,39 +29,23 @@ 29 29 Beispiel für {{formula}}\mathbb{R}{{/formula}}: 30 30 {{/aufgabe}} 31 31 32 -{{aufgabe id="Ist Element von oder ist nicht Element von?" afb="I" kompetenzen="K4" quelle="Torben Würth" cc="BY-SA" zeit=" 10"}}32 +{{aufgabe id="Ist Element von oder ist nicht Element von?" afb="I" kompetenzen="K4" quelle="Torben Würth" cc="BY-SA" zeit="4"}} 33 33 Vervollständige die nachstehende Tabelle. 34 34 (% style="background-color:red;text-align:center" %) 35 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" %)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" %) 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 -{{aufgabe id="Beziehungen zwischen Mengen, Mächtigkeit von Mengen" afb="I" kompetenzen="K4" quelle="Torben Würth" cc="BY-SA" zeit="8"}} 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 - 55 -Entscheide (mit Begründung), ob folgende Aussagen richtig oder falsch sind: 56 -1) {{formula}}A\subset B{{/formula}} 57 -2) {{formula}}A\cup B\setminus B=A{{/formula}} 58 -3) {{formula}}A\subset \mathbb{N}{{/formula}} 59 -4) {{formula}}|A \setminus B|=3{{/formula}} 60 -5) {{formula}}B \cap C \subset \mathbb{Z}{{/formula}} 61 -6) {{formula}}C \cap E = \emptyset{{/formula}} 62 -7) {{formula}}(A \cup D) \setminus \mathbb{Z^-}=A{{/formula}} 63 -8) {{formula}}|mathbb{R}|=\infty{{/formula}} 64 -8) {{formula}}|\mathbb{Z} \cup mathbb{Q}=\mathbb{R}|= \infty{{/formula}} 65 - 66 -{{/aufgabe}} 67 -