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-rw-r--r--mat/domace_naloge/26/dokument.aux1
-rw-r--r--mat/domace_naloge/26/dokument.log26
-rw-r--r--mat/domace_naloge/26/dokument.pdfbin64025 -> 64498 bytes
-rw-r--r--mat/domace_naloge/26/dokument.synctex.gzbin26595 -> 26759 bytes
-rw-r--r--mat/domace_naloge/26/dokument.tex1
-rw-r--r--mat/domace_naloge/26/stderr.log2
-rw-r--r--mat/domace_naloge/26/stdout.log107
-rw-r--r--mat/domace_naloge/27/dokument.aux35
-rw-r--r--mat/domace_naloge/27/dokument.log1812
-rw-r--r--mat/domace_naloge/27/dokument.out1
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-rw-r--r--mat/domace_naloge/27/dokument.synctex.gzbin0 -> 16159 bytes
-rw-r--r--mat/domace_naloge/27/dokument.tex (renamed from mat/domace_naloge/26/ž)75
-rw-r--r--mat/domace_naloge/27/stderr.log1
-rw-r--r--mat/domace_naloge/27/stdout.log764
15 files changed, 2705 insertions, 120 deletions
diff --git a/mat/domace_naloge/26/dokument.aux b/mat/domace_naloge/26/dokument.aux
index 4bd6ff4..b95915c 100644
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diff --git a/mat/domace_naloge/26/dokument.pdf b/mat/domace_naloge/26/dokument.pdf
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index 691a83e..6a1fbb6 100644
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Ta dokument vsebuje navodila in rešitve domačih nalog snovi \textit{\snovdn}pri matematiki, ki sem jih spisal sam.
\end{abstract}
\paragraph{Navodilo naloge} \textbf{vaje2:} 83 / 567, 568, 569
+\paragraph{Opomba} Rešitev naloge je napačna.
%\tableofcontents
\begin{enumerate}[label=\textbf{\arabic*.}]
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diff --git a/mat/domace_naloge/27/dokument.out b/mat/domace_naloge/27/dokument.out
new file mode 100644
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+++ b/mat/domace_naloge/27/dokument.out
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+\BOOKMARK [1][-]{section.1}{Zakljucek}{}% 1
diff --git a/mat/domace_naloge/27/dokument.pdf b/mat/domace_naloge/27/dokument.pdf
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+++ b/mat/domace_naloge/27/dokument.pdf
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diff --git a/mat/domace_naloge/26/ž b/mat/domace_naloge/27/dokument.tex
index 04b062a..a486184 100644
--- a/mat/domace_naloge/26/ž
+++ b/mat/domace_naloge/27/dokument.tex
@@ -99,7 +99,7 @@
\newcommand{\snovdn}{Skalarni produkt vektorjev }
\newcommand{\predmdn}{mat}
\newcommand{\predmkaj}{domace\_naloge}
-\newcommand{\stevilkadn}{26}
+\newcommand{\stevilkadn}{27}
\newcommand{\cm}[1]{\SI{#1}{\centi\meter}}
\newcommand{\kmh}[1]{\SI{#1}{\kilo\meter\per\hour}}
\makeatletter
@@ -134,61 +134,30 @@
\begin{document}
\maketitle
\begin{abstract}
-Ta dokument vsebuje navodila in rešitve domačih nalog snovi \textit{\snovdn}pri matematiki, ki sem jih spisal sam.
+Ta dokument vsebuje navodila in rešitve domačih nalog snovi \textit{\snovdn}pri matematiki, ki sem jih spisal sam. Kjer je bilo potrebno izbrati neke poljubne primere, sem jih vedno izbral naključno.
\end{abstract}
-\paragraph{Navodilo naloge} \textbf{vaje2:} 83 / 567, 568, 569
+\paragraph{Navodilo naloge} \textbf{listi:} \textit{Skalarni produkt} / 1, ... 6 (izberi 3 naloge, povsod vsaj 2 primera)
%\tableofcontents
\begin{enumerate}[label=\textbf{\arabic*.}]
- \setcounter{enumi}{566}
- \item Izračunaj skalarni produkt označenih vektorjev na dva načina (po definiciji in z uporabo pravokotne projekcije enega vektorja na drugi vektor):
- \begin{tasks}[label=\textbf{\xslalph*)}](2)
- \task v enakostraničnem trikotniku s stranico, dolgo \cm{3},
- \begin{tikzpicture}[vect/.style={->,shorten >=0pt,>=latex'}]
- \tkzDefPoint(0,0){A} \tkzDefPoint(3,0){B} \tkzDefPoint(60:3){C}
- \tkzDrawPolygon[fill=red!30, opacity=.3](A,B,C)
- \tkzDrawSegments[vect](A,B A,C)
- \end{tikzpicture}
- $$\Vec{c}\cdot\Vec{b}=|\Vec{c}|\cdot|\Vec{b}|=9\cdot\cos{\ang{60}}=4,5$$
- \task v enakostraničnem trikotniku s stranico, dolgo \cm{3},
- \begin{tikzpicture}[vect/.style={->,shorten >=0pt,>=latex'}]
- \tkzDefPoint(0,0){A} \tkzDefPoint(3,0){B} \tkzDefPoint(60:3){C}
- \tkzDrawPolygon[fill=red!30, opacity=.3](A,B,C)
- \tkzDrawSegments[vect](C,A B,C)
- \end{tikzpicture}
- $$\Vec{a}\cdot\Vec{b}=|\Vec{a}|\cdot|\Vec{b}|\cdot\cos{\left(\ang{180}-\ang{60}\right)}=-4,5$$
- \task v pravokotniku s stranicama, dolgima \cm{6} in \cm{2},
- \begin{tikzpicture}[vect/.style={->,shorten >=0pt,>=latex'}]
- \tkzDefPoint(0,0){A} \tkzDefPoint(6,0){B} \tkzDefPoint(6,2){C} \tkzDefPoint(0,2){D}
- \tkzDrawPolygon[fill=red!30, opacity=.3](A,B,C,D)
- \tkzDrawSegments[vect](A,B B,C)
- \end{tikzpicture}
- \task v pravokotniku s stranicama, dolgina \cm{6} in \cm{2},
- \begin{tikzpicture}[vect/.style={->,shorten >=0pt,>=latex'}]
- \tkzDefPoint(0,0){A} \tkzDefPoint(6,0){B} \tkzDefPoint(6,2){C} \tkzDefPoint(0,2){D}
- \tkzDrawPolygon[fill=red!30, opacity=.3](A,B,C,D)
- \tkzDrawSegments[vect](A,B A,C)
- \end{tikzpicture}
- \task v pravilnem 6-kotniku s stranico, dolgo \cm{2},
-
- \begin{tikzpicture}[vect/.style={->,shorten >=0pt,>=latex'}]
- \tkzDefPoint(0,0){A} \tkzDefPoint(2,0){B}
- \tkzDefRegPolygon[name=P,sides=6,side](A,B)
- \tkzDrawPolygon[fill=red!30, opacity=.3](P1,P2,P3,P4,P5,P6)
- \tkzDrawSegments[vect](P2,P1 P2,P3)
- \end{tikzpicture}
- \task v pravilnem 6-kotniku s stranico, dolgo \cm{2}.
-
- \begin{tikzpicture}[vect/.style={->,shorten >=0pt,>=latex'}]
- \tkzDefPoint(0,0){A} \tkzDefPoint(2,0){B}
- \tkzDefRegPolygon[name=P,sides=6,side](A,B)
- \tkzDrawPolygon[fill=red!30, opacity=.3](P1,P2,P3,P4,P5,P6)
- \tkzDrawSegments[vect](P1,P6 P3,P2)
- \end{tikzpicture}
- \end{tasks}
- \item Kocka $ABCDA'B'C'D'$ ima \cm{10} dolg rob. Izračunaj $\vektor{AB}\cdot\vektor{AC}$, $\vektor{AB}\cdot\vektor{AC'}$,
- $\vektor{AD'}\cdot\vektor{AC'}$, $\vektor{BD'}\cdot\vektor{DB'}$.
- \item Tetraeder $ABCD$ ima \cm{10} dolg rob. Izračunaj $\vektor{AB}\cdot\vektor{AC}$, $\vektor{AB}\cdot\vektor{AD}$,
- $\vektor{AD}\cdot\vektor{AD}$.
+ \item Naj bo $ABCDEF$ pravilni šestkotnik, $G$ razpolovišče stranice $CD$ in $H$ presečišče šestkotnikovih diagonal.
+ \begin{enumerate}[label=\textbf{\xslalph*)}]
+ \item Dokaži, da sta nosilki daljic $AF$ in $GH$ pravokotni.
+ \item Ali je $AF$ pravokotna na $FG$?
+ \end{enumerate}
+ \setcounter{enumi}{2}
+ \item Naj bo $ABCD$ kvadrat s stranico dolžine $a$, $E$ razpolovišče stranice $AB$, $F$ razpolovišče stranice $AD$, $G$ pa presečišče diagonal kvadrata.
+ \begin{enumerate}[label=\textbf{\xslalph*)}]
+ % \item Izračunaj $\vektor{AG}\cdot\vektor{BC}$.
+ \setcounter{enumii}{1}
+ \item Ali sta vektorja $\vektor{FC}$ in $\vektor{BF}$ pravokotna?
+ \item Kakšen kot oklepata vektorja $\vektor{AD}$ in $\vektor{CG}$?
+ \end{enumerate}
+ \item Naj bo $ABCDEFGH$ kocka z robom $a$ in $P$ razpolovišče roba $CG$.
+ \begin{enumerate}[label=\textbf{\xslalph*)}]
+ \setcounter{enumii}{2}
+ \item Kakšen kot oklepata vektorja $\vektor{AD}$ in $\vektor{CS}$?
+ \item[\textbf{*d)}] Naj bo $Q$ razpolovišče roba $AE$. Dokaži, da je štirikotnik $BPHQ$ kvadrat.
+ \end{enumerate}
\end{enumerate}
\section{Zaključek}
Ta dokument je informativne narave in se lahko še spreminja. Najnovejša različica, torej PDFji in
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