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\end{tabular}\par}% <------ + \vskip 1em% + {\large \@date}% + \end{center}% + \par + \vskip 1.5em} +%opening +\newcommand{\snovdn}{Podobni liki } +\newcommand{\predmdn}{mat} +\newcommand{\predmkaj}{domace\_naloge} +\newcommand{\stevilkadn}{23} +\newcommand{\cm}[1]{\SI{#1}{\centi\meter}} +\newcommand{\kmh}[1]{\SI{#1}{\kilo\meter\per\hour}} +\makeatletter +\newcommand{\xslalph}[1]{\expandafter\@xslalph\csname c@#1\endcsname} +\newcommand{\@xslalph}[1]{% + \ifcase#1\or a\or b\or c\or \v{c}\or d\or e\or f\or g\or h\or i% + \or j\or k\or l\or m\or n\or o\or p\or r\or s\or \v{s}% + \or t\or u\or v\or z\or \v{z} + \else\@ctrerr\fi% +} +\AddEnumerateCounter{\xslalph}{\@xslalph}{m} +\makeatother +\newcommand\gauss[2]{1/(#2*sqrt(2*pi))*exp(-((x-#1)^2)/(2*#2^2))} % Gauss function, parameters mu and sigma +\newcommand*\textfrac[2]{ + \frac{\text{#1}}{\text{#2}} +} +\NewTasks[counter-format=\xslalph*),label-format=\bfseries]{primerTasks}(3) +\newcommand\vektor{\overrightarrow} +\newcommand{\iic}{I\textsuperscript{2}C } +\title{% + \snovdn --- \stevilkadn. domača naloga + \\ + \large Matematika, Gimnazija Bežigrad} +\author{\begin{tabular}{rl} + \textbf{Profesor:} & prof. Vilko Domajnko \\ + \textbf{Avtor:} & Anton Luka Šijanec, 2. a +% \textbf{Avtor:} & Anton Luka Šijanec \\ & Member 2 \\ & Member 3 +\end{tabular}} +\newcommand\hcancel[2][black]{\setbox0=\hbox{$0#2$}% +\rlap{\raisebox{.45\ht0}{\textcolor{#1}{\rule{\wd0}{1pt}}}}#2} +% \everymath{\displaystyle} % https://tex.stackexchange.com/a/32847/212260 +\begin{document} +\maketitle +\begin{abstract} +Ta dokument vsebuje navodila in rešitve domačih nalog snovi \textit{\snovdn}pri matematiki, ki sem jih spisal sam. Kjer je bilo potrebno izbirati neke poljubne naloge, sem jih vselej izbral naključno. +\end{abstracit} +\paragraph{Navodilo naloge} vaje2: 65/424, ... 460 (izberi 2 sodi in 2 lihi nalogi) +%\tableofcontents +\begin{enumerate}[label=\textbf{\arabic*.}] % 453, 428, 442, 441 + \setcounter{enumi}{427} + \item Na sliki je $\measuredangle DEA=\measuredangle ACB$, $|BC|=\cm{18}$, $|AD|=\cm{6}$, $|ED|=\cm{9}$, $|AE|=\cm{5}$, $|BE|=x$, $|DC|=y$. Koliko je $x+y$? % 428 + \begin{center} + \begin{tikzpicture}[scale=.5] + \tkzDefPoint(0,0){B} \tkzDefPoint(18,0){C} \tkzDefPoint(12,0){Ah} \tkzDefPoint(18-10,0){Ah2} \tkzDefPoint(12-5,0){Eh} + \tkzDefPoint(18-(10-6),0){Dh} + \tkzInterCC(B,Ah)(C,Ah2) \tkzGetPoints{A}{X} + \tkzInterLC(B,A)(B,Eh) \tkzGetPoints{EX}{E} + \tkzInterLC(C,A)(C,Dh) \tkzGetPoints{DX}{D} + \tkzDrawPolygon[fill=red!30, opacity=.3](A,B,C) \tkzDrawLine(E,D) + \tkzDrawPoints(A,B,C,E,D) \tkzLabelPoints(A,B,C,E,D) + \end{tikzpicture} + \end{center} + Zamislimo si, da sta trikotnika $AED$ in $ABC$ podobna, le da je trikotnik $AED$ zrcaljen. Tako bo seštevek še vedno pravilen. + $$ + k = \frac{|BC|}{|ED|} = 2 \rightarrow |BA| = k\cdot|AD|=\cm{12} \wedge |AC| = k\cdot|EA|=\cm{10} + $$$$ + \rightarrow |AB|-|AD| + |AC|-|AE| = 6+5 = 7 + $$ + \setcounter{enumi}{440} % the holy setcounter (-; + \item Pravokotni trikotnik $ABC$, katerega kateti sta dolgi \cm{24} in \cm{10}, je podoben trikotniku $MNK$ s hipotenuzo, dolgo \cm{130}. Izračunaj obseg trikotnika $MNK$. % 441 + $$ + h_{ABC}=\sqrt{\cm{24}^2+\cm{10}^2}=\cm{26} \rightarrow \cm{130}=k\cdot\cm{26}=5\cdot\cm{26} \rightarrow k=5 + $$$$ + O_{MNK}=O_{ABC}\cdot k=(\cm{24}+\cm{26}+\cm{10})\cdot k=\cm{60}\cdot5=\cm{300} + $$ + \item Dani sta istosrediščni krožnici. Polmer manjše krožnice je enak četrtini polmera večje krožnice. Naj bo $AB$ premer večje krožnice. Iz točke $B$ narišemo tangento na manjšo krožnico. Ta tangenta seka večjo krožnico v točki $C$. Dolžina daljice $AC$ je enaka \cm{100}. Kolikšen je polmer večje krožnice? % 442 + \begin{multicols}{2} + $$ + \bigtriangleup ABC \Tilde= \bigtriangleup OBT \wedge k = 0,5 \rightarrow |OT| = \cm{50} + $$$$ + \rightarrow |OB| = \cm{200} + $$ + \vfill\null\columnbreak + \begin{tikzpicture}[scale=.8] + \tkzDefPoint(0,0){O} \tkzDefPoint(1,0){M} \tkzDefPoint(4,0){B} \tkzDefPoint(-4,0){A} + \tkzDefMidPoint(O,B) \tkzGetPoint{S} \tkzCompass(O,S) \tkzCompass(B,S) \tkzInterCC(O,M)(S,O) \tkzGetPoints{T}{X} + \tkzInterLC(B,T)(O,A) \tkzGetPoints{C}{CX} + \tkzDrawCircle(O,M) \tkzDrawCircle(O,B) \tkzDrawLine(A,B) \tkzDrawLine(B,C) \tkzDrawLine(A,C) + \tkzDrawPoints(A,B,O,M,C,T) \tkzLabelPoints(A,B,O,M,C,T) + \end{tikzpicture} + \end{multicols} + \setcounter{enumi}{452} + \item Na list papirja $A_4$ narišemo daljšo simetralo. Nato prepognemo vogal do simetrale, kot prikazujeta sliki. Pod kolikšnim kotom smo prepognili papir? Odgovor utemelji. % 453 + \begin{multicols}{2} + \begin{tikzpicture}[scale=4] + \tkzDefPoint(0,0){A} \tkzDefPoint(1,0){B} \tkzDefPoint(1,sqrt(2)){C} \tkzDefPoint(0,sqrt(2)){D} + \tkzDefPoint(.5,0){M} \tkzDefPoint(.5,sqrt(2)){N} + \tkzDefPoint(0+2,0){A2} \tkzDefPoint(1+2,0){B2} \tkzDefPoint(1+2,sqrt(2)){C2} \tkzDefPoint(0+2,sqrt(2)){D2} + \tkzDefPoint(.5+2,0){M2} \tkzDefPoint(.5+2,sqrt(2)){N2} + \tkzDrawPolygon[fill=red!30, opacity=.3](A,B,C,D) + \tkzDrawLine(M,N) + \tkzInterCC(A2,B2)(B2,A2) \tkzGetPoints{X}{X2} + \tkzDefMidPoint(X,A2) \tkzGetPoint{Y} + \tkzInterLL(B2,Y)(A2,D2) \tkzGetPoint{Y2} + \tkzDrawPolygon[fill=red!30, opacity=.3](Y2,B2,C2,D2) + \tkzDrawPolygon[fill=red!30, opacity=.3](Y2,B2,X) + \tkzDrawLine(M2,N2) + \end{tikzpicture} + \end{multicols} + $$ + \measuredangle\alpha=\frac{\ang{90}}{3} + $$ + Ker smo prepognili kot papirne pole, bosta tako del z dvojnim slojem, kot tudi del, ki je izgubil sloj, podobna. Če prepognemo še po črti srednje dolžine trikotnika z dvema slojema, bomo dobili troslojni trikotnik, ki je podoben trikotniku z dvema slojema iz prejšnjega koraka. Vse podobnosti, ki sem jih omenil, so hkrati tudi skladnosti, ker pa smo pravi kot $A_4$ lista pravkar razdelili na tri skladne trikotnike z vrhom v istovelikostnem kotu, smo devetdesetstopinjski kot razdelili na tri dele. + + Ta naloga ima zvezdico... A sem slučajno na kaj pozabil? +\end{enumerate} +\section{Zaključek} +Ta dokument je informativne narave in se lahko še spreminja. Najnovejša različica, torej PDFji in +\hologo{LaTeX}\footnote{Za izdelavo dokumenta potrebujete \texttt{TeXLive 2020}.} +izvorna koda, zgodovina sprememb in prejšnje različice, je na voljo v mojem šolskem Git repozitoriju na +\url{https://git.sijanec.eu/sijanec/sola-gimb-2} v mapi +\href{https://git.sijanec/sola-gimb-2/src/branch/master/\predmdn/\predmkaj/\stevilkadn/}{/\predmdn/\predmkaj/\stevilkadn/}. Povezava za ogled zadnje različice tega dokumenta v PDF obliki je \url{http://razor.arnes.si/~asija3/files/sola/gimb/2/\predmdn/\predmkaj/\stevilkadn/dokument.pdf} in/ali \url{https://git.sijanec.eu/sijanec/sola-gimb-2/raw/branch/master/\predmdn/\predmkaj/\stevilkadn/dokument.pdf}. +\if\razhroscevanje1 +\vfill +\section*{Razhroščevalne informacije} +Te informacije so generirane, ker je omogočeno razhroščevanje. Pred objavo dokumenta izklopite razhroščevanje. To naredite tako, da nastavite ukaz \texttt{razhroscevanje} na 0 v začetku dokumenta. + +Grafi imajo natančnost \functionSamples\space točk na graf. + +Konec generiranja dokumenta: \today\ ob \currenttime\footnote{To ne nakazuje dejanskega časa, ko je bil dokument napisan, temveč čas, ko je bi dokument generiran v PDF/DVI obliko. Isto velja za datum v glavi dokumenta. 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This may have been caused + **** by a problem while converting or transfering the file. + **** Ghostscript will attempt to recover the data. + **** However, the output may be incorrect. + **** Error: stream Length incorrect. + Output may be incorrect. diff --git a/mat/domace_naloge/23/ž b/mat/domace_naloge/23/ž new file mode 100644 index 0000000..f7d4ee2 --- /dev/null +++ b/mat/domace_naloge/23/ž @@ -0,0 +1,194 @@ +% !TeX encoding = UTF-8 +% !TeX spellcheck = sl_SI +% do-vimlatex-onwrite +\documentclass[]{article} +\usepackage[utf8]{inputenc} +\usepackage{etoolbox} +\usepackage[hidelinks]{hyperref} +\usepackage{xurl} % da breaka url +\usepackage[a4paper, total={7in, 10in}]{geometry} +\usepackage{graphicx} +\usepackage{hologo} +\usepackage{amssymb} +\usepackage{calculator} +\usepackage{pgfplots} +\usepackage[inline]{enumitem} +\usepackage{siunitx} +\usepackage{multicol} +\usepackage{tabularcalc} +\usepackage{amsmath} +\usepackage{float} +\usepackage{tasks} +\usepackage{filecontents} +\usepackage{textcomp} +\usepackage{tkz-euclide} +\usepackage{dirtytalk} +\usepackage{csquotes} +\usepackage{listings} +\usepackage{datetime} % [ddMMyyyy] +\usepackage{ccicons} +\usepackage{chemformula} +\usepackage{gensymb} +\usepackage[normalem]{ulem} +\usepackage[slovene]{babel} +\usepackage{cancel} +\usepackage{tabularx} +\usepackage{xcolor} +\usepackage{colortbl} +\usepackage{exsheets} +\usepackage{harpoon} +\usepackage{readarray} +\usepackage{forloop} +\usepackage[nomessages]{fp} +\usepackage{multirow} +\newcolumntype{Y}{>{\centering\arraybackslash}X} +% \usepackage{multienum} % weird with labels +\usetikzlibrary{calc} %% not really needed............. idk. +%\usetikzlibrary{external} +% \usetkzobj{all} % tkz-euclide > 3.02 tega ne potrebuje več (: +%\tikzexternalize +\sisetup{output-decimal-marker = {,}, quotient-mode=fraction,per-mode=fraction} % per-mode=symbol +\newcommand\ddfrac[2]{\frac{\displaystyle #1}{\displaystyle #2}} +\newcommand{\functionSamples}{100} % fix to fancier value upon release, keep low during development +\newcommand{\razhroscevanje}{1} +\definecolor{codegreen}{rgb}{0,0.6,0} +\definecolor{codered}{rgb}{1,0,0} +\definecolor{codegray}{rgb}{0.5,0.5,0.5} +\definecolor{codepurple}{rgb}{0.58,0,0.82} +\definecolor{backcolour}{rgb}{0.95,0.95,0.92} +\renewcommand{\dateseparator}{. } +\settimeformat{hhmmsstime} +\lstdefinestyle{mystyle}{ + backgroundcolor=\color{backcolour}, + commentstyle=\color{codegreen}, + keywordstyle=\color{magenta}, + numberstyle=\tiny\color{codegray}, + stringstyle=\color{codepurple}, + basicstyle=\ttfamily\footnotesize, + breakatwhitespace=false, + breaklines=true, + captionpos=b, + keepspaces=true, + numbers=left, + numbersep=5pt, + showspaces=false, + showstringspaces=false, + showtabs=false, + tabsize=2 +} +\lstset{style=mystyle} +\def\@maketitle{% + \newpage + \null + \vskip 2em% + \begin{center}% + \let \footnote \thanks + {\LARGE \@title \par}% + \vskip 1.5em% + {\large + \lineskip .5em% + \begin{tabular}[t]{c}% <------ + \@author% <------ Authors + \end{tabular}\par}% <------ + \vskip 1em% + {\large \@date}% + \end{center}% + \par + \vskip 1.5em} +%opening +\newcommand{\snovdn}{Podobni liki } +\newcommand{\predmdn}{mat} +\newcommand{\predmkaj}{domace\_naloge} +\newcommand{\stevilkadn}{23} +\newcommand{\cm}[1]{\SI{#1}{\centi\meter}} +\newcommand{\kmh}[1]{\SI{#1}{\kilo\meter\per\hour}} +\makeatletter +\newcommand{\xslalph}[1]{\expandafter\@xslalph\csname c@#1\endcsname} +\newcommand{\@xslalph}[1]{% + \ifcase#1\or a\or b\or c\or \v{c}\or d\or e\or f\or g\or h\or i% + \or j\or k\or l\or m\or n\or o\or p\or r\or s\or \v{s}% + \or t\or u\or v\or z\or \v{z} + \else\@ctrerr\fi% +} +\AddEnumerateCounter{\xslalph}{\@xslalph}{m} +\makeatother +\newcommand\gauss[2]{1/(#2*sqrt(2*pi))*exp(-((x-#1)^2)/(2*#2^2))} % Gauss function, parameters mu and sigma +\newcommand*\textfrac[2]{ + \frac{\text{#1}}{\text{#2}} +} +\NewTasks[counter-format=\xslalph*),label-format=\bfseries]{primerTasks}(3) +\newcommand\vektor{\overrightarrow} +\newcommand{\iic}{I\textsuperscript{2}C } +\title{% + \snovdn --- \stevilkadn. domača naloga + \\ + \large Matematika, Gimnazija Bežigrad} +\author{\begin{tabular}{rl} + \textbf{Profesor:} & prof. Vilko Domajnko \\ + \textbf{Avtor:} & Anton Luka Šijanec, 2. a +% \textbf{Avtor:} & Anton Luka Šijanec \\ & Member 2 \\ & Member 3 +\end{tabular}} +\newcommand\hcancel[2][black]{\setbox0=\hbox{$0#2$}% +\rlap{\raisebox{.45\ht0}{\textcolor{#1}{\rule{\wd0}{1pt}}}}#2} +% \everymath{\displaystyle} % https://tex.stackexchange.com/a/32847/212260 +\begin{document} +\maketitle +\begin{abstract} +Ta dokument vsebuje navodila in rešitve domačih nalog snovi \textit{\snovdn}pri matematiki, ki sem jih spisal sam. Kjer je bilo potrebno izbirati neke poljubne naloge, sem jih vselej izbral naključno. +\end{abstracit} +\paragraph{Navodilo naloge} vaje2: 65/424, ... 460 (izberi 2 sodi in 2 lihi nalogi) +%\tableofcontents +\begin{enumerate}[label=\textbf{\arabic*.}] % 453, 428, 442, 441 + \setcounter{enumi}{427} + \item Na sliki je $\measuredangle DEA=\measuredangle ACB$, $|BC|=\cm{18}$, $|AD|=\cm{6}$, $|ED|=\cm{9}$, $|AE|=\cm{5}$, $|BE|=x$, $|DC|=y$. Koliko je $x+y$? % 428 + \begin{center} + \begin{tikzpicture}[scale=.5] + \tkzDefPoint(0,0){B} \tkzDefPoint(18,0){C} \tkzDefPoint(12,0){Ah} \tkzDefPoint(18-10,0){Ah2} + \tkzInterCC(B,Ah)(C,Ah2) \tkzGetPoint{A} + \tkzDrawPolygon[red!30, opacity=.3](A,B,C) + \tkzDrawPoints(A,B,C) \tkzLabelPoints(A,B,C) + \end{tikzpicture} + \end{center} + \setcounter{enumi}{440} % the holy setcounter (-; + \item Pravokotni trikotnik $ABC$, katerega kateti sta dolgi \cm{24} in \cm{10}, je podoben trikotniku $MNK$ s hipotenuzo, dolgo \cm{130}. Izračunaj obseg trikotnika $MNK$. % 441 + $$ + h_{ABC}=\sqrt{\cm{24}^2+\cm{10}^2}=\cm{26} \rightarrow \cm{130}=k\cdot\cm{26}=5\cdot\cm{26} \rightarrow k=5 + $$$$ + O_{MNK}=O_{ABC}\cdot k=(\cm{24}+\cm{26}+\cm{10})\cdot k=\cm{60}\cdot5=\cm{300} + $$ + \item Dani sta istosrediščni krožnici. Polmer manjše krožnice je enak četrtini polmera večje krožnice. Naj bo $AB$ premer večje krožnice. Iz točke $B$ narišemo tangento na manjšo krožnico. Ta tangenta seka večjo krožnico v točki $C$. Dolžina daljice $AC$ je enaka \cm{100}. Kolikšen je polmer večje krožnice? % 442 + \begin{multicols}{2} + $$ + \bigtriangleup ABC \Tilde= \bigtriangleup OBT \wedge k = 0,5 \rightarrow |OT| = \cm{50} + $$$$ + \rightarrow |OB| = \cm{200} + $$ + \vfill\null\columnbreak + \begin{tikzpicture}[scale=.8] + \tkzDefPoint(0,0){O} \tkzDefPoint(1,0){M} \tkzDefPoint(4,0){B} \tkzDefPoint(-4,0){A} + \tkzDefMidPoint(O,B) \tkzGetPoint{S} \tkzCompass(O,S) \tkzCompass(B,S) \tkzInterCC(O,M)(S,O) \tkzGetPoints{T}{X} + \tkzInterLC(B,T)(O,A) \tkzGetPoints{C}{CX} + \tkzDrawCircle(O,M) \tkzDrawCircle(O,B) \tkzDrawLine(A,B) \tkzDrawLine(B,C) \tkzDrawLine(A,C) + \tkzDrawPoints(A,B,O,M,C,T) \tkzLabelPoints(A,B,O,M,C,T) + \end{tikzpicture} + \end{multicols} +\end{enumerate} +\section{Zaključek} +Ta dokument je informativne narave in se lahko še spreminja. Najnovejša različica, torej PDFji in +\hologo{LaTeX}\footnote{Za izdelavo dokumenta potrebujete \texttt{TeXLive 2020}.} +izvorna koda, zgodovina sprememb in prejšnje različice, je na voljo v mojem šolskem Git repozitoriju na +\url{https://git.sijanec.eu/sijanec/sola-gimb-2} v mapi +\href{https://git.sijanec/sola-gimb-2/src/branch/master/\predmdn/\predmkaj/\stevilkadn/}{/\predmdn/\predmkaj/\stevilkadn/}. Povezava za ogled zadnje različice tega dokumenta v PDF obliki je \url{http://razor.arnes.si/~asija3/files/sola/gimb/2/\predmdn/\predmkaj/\stevilkadn/dokument.pdf} in/ali \url{https://git.sijanec.eu/sijanec/sola-gimb-2/raw/branch/master/\predmdn/\predmkaj/\stevilkadn/dokument.pdf}. +\if\razhroscevanje1 +\vfill +\section*{Razhroščevalne informacije} +Te informacije so generirane, ker je omogočeno razhroščevanje. Pred objavo dokumenta izklopite razhroščevanje. To naredite tako, da nastavite ukaz \texttt{razhroscevanje} na 0 v začetku dokumenta. + +Grafi imajo natančnost \functionSamples\space točk na graf. + +Konec generiranja dokumenta: \today\ ob \currenttime\footnote{To ne nakazuje dejanskega časa, ko je bil dokument napisan, temveč čas, ko je bi dokument generiran v PDF/DVI obliko. Isto velja za datum v glavi dokumenta. Če berete direktno iz LaTeX datoteke, bo to vedno današnji datum.}%\input|"date -Ins" + +Dokument se je generiral R0qK1KR2 \SI{}{\second}. +\fi +% \item $$$$ aaasecgeninsaaa R0qK1KR2 +\end{document} diff --git a/nem/delo/1301/1 b/nem/delo/1301/1 deleted file mode 100644 index 56d1e2e..0000000 --- a/nem/delo/1301/1 +++ /dev/null @@ -1,21 +0,0 @@ -Lektion 2: Ziele und Wünsche - Übungsbuch, seite 14 -=================================================== - -# 1.4 Ein Leben in Deutschland. Schreiben Sie einen Text über Frau Olivia. - -*Sie ist* mit ihrem Mann nach Deutschland gekommen. Er hat eine Stelle als Artz in in München bekommen, aber er sucht noch eine Arbeit. Am liebsten will sie als Programmiererin arbeiten. Deshalb lernt sie Deutsch für die Arbeit. Sie sieht ihre Familie nicht oft, deshalb chattet und skypt sie viel mit ihren Eltern. - -# 2.3 Schreiben Sie die Antworten zu den Fragen in 2.2 mit *weil*. - -1. Er muss einen Sprachkurs machen, weil er kein Deutsch in der Schule gelernt hat. -2. Die Eltern können oft kommen, weil die Flüge günstig sind. -3. Er will nach Japan auswandern, weil das schon immer sein Traum war. -4. Sie sucht eine Arbeit, weil sie ihre Stelle verloren hat. -5. Die Eltern sind nicht so glücklich, weil ihre Tochter ins Ausland gehen möchte. - -# 2.4 Was passt? Ordnen Sie zu schreiben Sie Antworten mit *weil*. - -# Worter - -* die Nachricht (-en) -* zufrieden sein - biti zadovoljen diff --git a/nem/delo/1301/dokument.md b/nem/delo/1301/dokument.md index 56d1e2e..fb16009 100644 --- a/nem/delo/1301/dokument.md +++ b/nem/delo/1301/dokument.md @@ -15,7 +15,51 @@ Lektion 2: Ziele und Wünsche - Übungsbuch, seite 14 # 2.4 Was passt? Ordnen Sie zu schreiben Sie Antworten mit *weil*. +1. Ich mache das Fenster auf, weil es warm ist. +2. Herr Bianchini geht heute nicht zur Arbeit, weil er Kopfsmerzen hat. +3. Marianne will jetzt nicht spazieren gehen, weil es regnet. +4. Meine Freundin antwortet nicht, weil ihr Handy kaputt ist. +5. Ich kann meinen Laptop nicht benutzen, weil ich das Ladekabel zu Hause vergessen habe. +6. Kim und Mitja sind so müde, weil sie gestern lange auf der Party geblieben sind. +7. Herr Thimm findet die Buchhandlug nicht, weil er den Zettel mit der Adresse vergessen hat. +8. Frau Kovac kann nicht mit dem Auto fahren, weil sie ihren Autoschlüssel verloren hat. + +# 4.1 Höfliche Bitten: Könnten Sie ...? + +1. Entschuldigung, könnten Sie mir einen Stift geben, bitte? +2. Entschuldigung, könntet ihr die Flasche holen? +3. Entschuldigung, könntest du mir die Handynummer sagen? +4. Entschuldigung, könnten Sie ein Taxi rufen, bitte? + +* ich könnte +* du könntest +* er könnte +* wir könnten +* ihr könntet +* sie könnten + # Worter * die Nachricht (-en) * zufrieden sein - biti zadovoljen +* zwei Muttersprachler lernen zwei Sprachen gegenseitig (vzajemno) - im Tandem lernen +* Sprachlernbiografie +* Ich lerne Englisch seit 10 Jahre. Ich habe in Haubtschule in dritten Klasse Englisch lernen angefangen. Jetzt lerne ich Englisch in Gymnasium. + +# Kursbuch + +* Ibrahin: Deutsch lernen, Max: Arabisch lernen +* Wir treffen einmal pro Woche und sprechen zwei stunde. +* Max liebt Fremdsprache. +* Ibrahim will als Artz arbeiten und er muss einen Deutschprufung machen. + +# Sprachkursbiografie für im Tandem Lernen + +* Ich habe Deutsch in der Haubtschule gelernt und in Gymnasium. Ich lerne Deutsch seit 5 Jahren. +* Ich möchte Deutsch lernen weil ich in Deutschland arbeiten möchte und ich mag Deutsch. +* Ich möchte Deutsch gut verstanden und sprechen ich möchte Deutsch Konversationen haben. +* Ich möchte der DSD Prüfung bestehen, aber das ist nicht so wichtig, ich mochte nur Deutsch verstehen und sprechen. + +# Hausaufgabe 15. 01. 2021 + +ÜB:/18,19 |