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| author | Florian Fischer <florian.fischer@muhq.space> | 2023-11-17 13:45:40 +0100 |
|---|---|---|
| committer | Florian Fischer <florian.fischer@muhq.space> | 2023-11-17 13:45:40 +0100 |
| commit | 6627f775a4f9c20f5ab7035981b318240e65ba31 (patch) | |
| tree | 2687ffb69617cefbf6a74d03a7eeb6f5b84b70a3 /Mathe/23_24/11 | |
| parent | bef772470b846826a7c70d8d377ca51d8f90b30c (diff) | |
| download | unterricht-6627f775a4f9c20f5ab7035981b318240e65ba31.tar.gz unterricht-6627f775a4f9c20f5ab7035981b318240e65ba31.zip | |
improve solutions for my last math exam in 9A
Diffstat (limited to 'Mathe/23_24/11')
| -rw-r--r-- | Mathe/23_24/11/16/9A/Aufgaben/quadratwurzel_terme_vereinfachen.tex | 14 |
1 files changed, 9 insertions, 5 deletions
diff --git a/Mathe/23_24/11/16/9A/Aufgaben/quadratwurzel_terme_vereinfachen.tex b/Mathe/23_24/11/16/9A/Aufgaben/quadratwurzel_terme_vereinfachen.tex index 3089abed..77b893b5 100644 --- a/Mathe/23_24/11/16/9A/Aufgaben/quadratwurzel_terme_vereinfachen.tex +++ b/Mathe/23_24/11/16/9A/Aufgaben/quadratwurzel_terme_vereinfachen.tex @@ -11,20 +11,24 @@ Ein Taschenrechnerergebnis reicht nicht aus. \\[-0.5cm] \begin{Lsg} \textbf{Kompetenzen}: symbolisch \\ -\textbf{a)} $+10\sqrt{0,20}+\sqrt{180}+\sqrt{120}-\sqrt{500}$ \\[0.2cm] +\begin{enumerate}[a)] +\item $10\sqrt{0,20}+\sqrt{180}+\sqrt{120}-\sqrt{500}$ \\[0.2cm] $\sqrt{9 \cdot 20}+\sqrt{4\cdot 30}-\sqrt{25\cdot 20}+10\sqrt{\frac{20}{100}}$ Faktorisieren \BE{0.5} \\[0.2cm] -$\sqrt{9} \cdot \sqrt{20}+\sqrt{4}\cdot\sqrt{30}-\sqrt{25}\cdot\sqrt{20}+\sqrt{\frac{10^2 \cdot 7}{100}}$ Multiplikationsregel \BE{0.5} \\[0.2cm] +$\sqrt{9} \cdot \sqrt{20}+\sqrt{4}\cdot\sqrt{30}-\sqrt{25}\cdot\sqrt{20}+\sqrt{\frac{10^2 \cdot 20}{100}}$ Multiplikationsregel \BE{0.5} \\[0.2cm] $3 \cdot \sqrt{20}+2\cdot\sqrt{30}-5\cdot\sqrt{20}+\sqrt{20}$ Teilw. Radizieren \BE{1} \\[0.2cm] $-1 \cdot \sqrt{20}+2\sqrt{30}$ Zusammenfassen \BE{1} \\[0.2cm] +ODER $-2 \cdot \sqrt{5}+2\sqrt{30}$ Zusammenfassen \\[0.2cm] +\item {\Large $\frac{(\sqrt{4}+\sqrt{2}) \cdot (\sqrt{4}+\sqrt{2})}{(\sqrt{4}-\sqrt{2})\cdot (\sqrt{4}+\sqrt{2}})$} Nenner rat. machen 3.bin Formel \\[0.2cm] {\Large $\frac{(\sqrt{4}+\sqrt{2})^2}{\sqrt{4}^2 - \sqrt{2}^2}$} 3.bin Formel \BE{0.5} \\[0.2cm] {\Large $\frac{(\sqrt{4}+\sqrt{2})^2}{4-2}$} Radizieren \BE{0.5} \\[0.2cm] -{\Large $\frac{4^2 + 2\cdot 4\cdot 2 + 2^2}{2}$} Ausmult. \BE{0.5} \\[0.2cm] -{\Large $18$} Kürzen \BE{0.5} +{\Large $\frac{\sqrt{4}^2 + 2\cdot \sqrt{4}\cdot \sqrt{2} + \sqrt{2}^2}{2}$} Ausmult. \BE{0.5} \\[0.2cm] +$3+2\sqrt{2}$ Kürzen \BE{0.5} -\textbf{c)} {\Large ${\scriptstyle \sqrt{a+b} + }\frac{a+b}{\sqrt{a+b}}$} \\[0.2cm] +\item {\Large ${\scriptstyle \sqrt{a+b} + }\frac{a+b}{\sqrt{a+b}}$} \\[0.2cm] $\sqrt{a+b} + \frac{(a+b)\cdot\sqrt{a+b}}{\sqrt{a+b}^2}$ Nenner rational machen \BE{1} \\[0.2cm] $\sqrt{a+b} + \sqrt{a+b}$ Kürzen \BE{0.5} \\[0.2cm] $2\sqrt{a+b}$ Zusammenfassen \BE{0.5} \\[0.2cm] +\end{enumerate} \end{Lsg} |