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-rw-r--r-- | mat/domace_naloge/26/dokument.aux | 1 | ||||
-rw-r--r-- | mat/domace_naloge/26/dokument.log | 26 | ||||
-rw-r--r-- | mat/domace_naloge/26/dokument.pdf | bin | 64025 -> 64498 bytes | |||
-rw-r--r-- | mat/domace_naloge/26/dokument.synctex.gz | bin | 26595 -> 26759 bytes | |||
-rw-r--r-- | mat/domace_naloge/26/dokument.tex | 1 | ||||
-rw-r--r-- | mat/domace_naloge/26/stderr.log | 2 | ||||
-rw-r--r-- | mat/domace_naloge/26/stdout.log | 107 | ||||
-rw-r--r-- | mat/domace_naloge/27/dokument.aux | 35 | ||||
-rw-r--r-- | mat/domace_naloge/27/dokument.log | 1812 | ||||
-rw-r--r-- | mat/domace_naloge/27/dokument.out | 1 | ||||
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-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.log | 1 | ||||
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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 --- a/mat/domace_naloge/26/dokument.aux +++ b/mat/domace_naloge/26/dokument.aux @@ -28,6 +28,7 @@ \babel@aux{slovene}{} \babel@aux{slovene}{} \@writefile{toc}{\contentsline {paragraph}{Navodilo naloge}{1}{section*.1}\protected@file@percent } +\@writefile{toc}{\contentsline {paragraph}{Opomba}{1}{section*.2}\protected@file@percent } \exsheets@sum@of@points {0} \exsheets@sum@of@bonus {0} \gdef \numberofquestions {0} diff --git a/mat/domace_naloge/26/dokument.log b/mat/domace_naloge/26/dokument.log index 3aec48b..0235f54 100644 --- a/mat/domace_naloge/26/dokument.log +++ b/mat/domace_naloge/26/dokument.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020) (preloaded format=pdflatex 2020.12.21) 21 FEB 2021 21:03 +This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020) (preloaded format=pdflatex 2020.12.21) 1 MAR 2021 08:16 entering extended mode \write18 enabled. %&-line parsing enabled. @@ -1767,23 +1767,23 @@ LaTeX Font Info: Trying to load font information for U+msb on input line 134 (/usr/local/texlive/2020/texmf-dist/tex/latex/amsfonts/umsb.fd File: umsb.fd 2013/01/14 v3.01 AMS symbols B ) -Overfull \hbox (6.69476pt too wide) in paragraph at lines 191--191 +Overfull \hbox (6.69476pt too wide) in paragraph at lines 192--192 []|\OT1/cmr/m/n/10 v ena-ko-strani^^Tcnem tri-ko-tniku s stra-nico, dolgo [][], [] -Overfull \hbox (6.69476pt too wide) in paragraph at lines 191--191 +Overfull \hbox (6.69476pt too wide) in paragraph at lines 192--192 |\OT1/cmr/m/n/10 v ena-ko-strani^^Tcnem tri-ko-tniku s stra-nico, dolgo [][], [] -Overfull \hbox (1.88957pt too wide) in paragraph at lines 191--191 +Overfull \hbox (1.88957pt too wide) in paragraph at lines 192--192 |\OT1/cmr/m/n/10 v pra-vo-ko-tniku s stra-ni-cama, dol-gima [][] in [][], [] -Overfull \hbox (6.63931pt too wide) detected at line 191 +Overfull \hbox (6.63931pt too wide) detected at line 192 [] \OMS/cmsy/m/n/10 ^^A [] \OT1/cmr/m/n/10 = \OMS/cmsy/m/n/10 j[]j ^^A j[]j ^^A [] [][]\OT1/cmr/m/n/10 11\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 926966 [] @@ -1794,16 +1794,16 @@ Overfull \hbox (6.63931pt too wide) detected at line 191 Package hyperref Warning: Composite letter `\textasciicaron+c' (hyperref) not defined in PD1 encoding, -(hyperref) removing `\textasciicaron' on input line 205. +(hyperref) removing `\textasciicaron' on input line 206. 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PDF statistics: - 147 PDF objects out of 1000 (max. 8388607) - 107 compressed objects within 2 object streams - 17 named destinations out of 1000 (max. 500000) + 148 PDF objects out of 1000 (max. 8388607) + 108 compressed objects within 2 object streams + 18 named destinations out of 1000 (max. 500000) 117 words of extra memory for PDF output out of 10000 (max. 10000000) diff --git a/mat/domace_naloge/26/dokument.pdf b/mat/domace_naloge/26/dokument.pdf Binary files differindex e422053..4f9d196 100644 --- a/mat/domace_naloge/26/dokument.pdf +++ b/mat/domace_naloge/26/dokument.pdf diff --git a/mat/domace_naloge/26/dokument.synctex.gz b/mat/domace_naloge/26/dokument.synctex.gz Binary files differindex 29d69dc..fe99585 100644 --- a/mat/domace_naloge/26/dokument.synctex.gz +++ b/mat/domace_naloge/26/dokument.synctex.gz diff --git a/mat/domace_naloge/26/dokument.tex b/mat/domace_naloge/26/dokument.tex index 691a83e..6a1fbb6 100644 --- a/mat/domace_naloge/26/dokument.tex +++ b/mat/domace_naloge/26/dokument.tex @@ -137,6 +137,7 @@ 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*.}] \setcounter{enumi}{566} diff --git a/mat/domace_naloge/26/stderr.log b/mat/domace_naloge/26/stderr.log index 393e7ee..a23834c 100644 --- a/mat/domace_naloge/26/stderr.log +++ b/mat/domace_naloge/26/stderr.log @@ -1 +1 @@ -<</Type/XRef/Filter/FlateDecode/ID[<FA7E9CBEC37202AD34A8D7C3916A9BDA><FA7E9CBEC37202AD34A8D7C3916A9BDA>]/Index[ 0 148]/Info 146 0 R/Length 378/Root 145 0 R/Size 148/W[ 1 3 1]>> +<</Type/XRef/Filter/FlateDecode/ID[<6DBD7EFF208647520CA21ADC8870B744><6DBD7EFF208647520CA21ADC8870B744>]/Index[ 0 149]/Info 147 0 R/Length 382/Root 146 0 R/Size 149/W[ 1 3 1]>> diff --git a/mat/domace_naloge/26/stdout.log b/mat/domace_naloge/26/stdout.log index a50f3bc..74d2f56 100644 --- a/mat/domace_naloge/26/stdout.log +++ b/mat/domace_naloge/26/stdout.log @@ -526,24 +526,24 @@ onary-English.dict) (/usr/local/texlive/2020/texmf-dist/tex/latex/exsheets/exsheets_configurations. cfg) (/usr/local/texlive/2020/texmf-dist/tex/latex/amsfonts/umsa.fd) (/usr/local/texlive/2020/texmf-dist/tex/latex/amsfonts/umsb.fd) -Overfull \hbox (6.69476pt too wide) in paragraph at lines 191--191 +Overfull \hbox (6.69476pt too wide) in paragraph at lines 192--192 []|\OT1/cmr/m/n/10 v ena-ko-strani^^Tcnem tri-ko-tniku s stra-nico, dolgo [][], -Overfull \hbox (6.69476pt too wide) in paragraph at lines 191--191 +Overfull \hbox (6.69476pt too wide) in paragraph at lines 192--192 |\OT1/cmr/m/n/10 v ena-ko-strani^^Tcnem tri-ko-tniku s stra-nico, dolgo [][], -Overfull \hbox (1.88957pt too wide) in paragraph at lines 191--191 +Overfull \hbox (1.88957pt too wide) in paragraph at lines 192--192 |\OT1/cmr/m/n/10 v pra-vo-ko-tniku s stra-ni-cama, dol-gima [][] in [][], -Overfull \hbox (6.63931pt too wide) detected at line 191 +Overfull \hbox (6.63931pt too wide) detected at line 192 [] \OMS/cmsy/m/n/10 ^^A [] \OT1/cmr/m/n/10 = \OMS/cmsy/m/n/10 j[]j ^^A j[]j ^^A [] [][]\OT1/cmr/m/n/10 11\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 926966 [1{/usr/local/texlive/2020/texmf-var/fonts/map/pdftex/updmap/pdftex.map}] Package hyperref Warning: Composite letter `\textasciicaron+c' (hyperref) not defined in PD1 encoding, -(hyperref) removing `\textasciicaron' on input line 205. +(hyperref) removing `\textasciicaron' on input line 206. 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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. 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