diff options
Diffstat (limited to '')
-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.tex (renamed from mat/domace_naloge/26/ž) | 75 |
8 files changed, 92 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. [2] (./dokument.aux) Package rerunfilecheck Info: File `dokument.out' has not changed. (rerunfilecheck) Checksum: 8100D3BBD9090570F4741E21DDC77BBB;44. ) Here is how much of TeX's memory you used: - 44278 strings out of 479382 - 1042774 string characters out of 5869354 - 1561039 words of memory out of 5000000 + 44279 strings out of 479382 + 1042784 string characters out of 5869354 + 1560098 words of memory out of 5000000 60414 multiletter control sequences out of 15000+600000 417199 words of font info for 80 fonts, out of 8000000 for 9000 1141 hyphenation exceptions out of 8191 @@ -1827,10 +1827,10 @@ exmf-dist/fonts/type1/public/amsfonts/cm/cmti9.pfb></usr/local/texlive/2020/tex mf-dist/fonts/type1/public/amsfonts/cm/cmtt10.pfb></usr/local/texlive/2020/texm f-dist/fonts/type1/public/amsfonts/cm/cmtt8.pfb></usr/local/texlive/2020/texmf- dist/fonts/type1/public/cm-super/sfrm1000.pfb> -Output written on dokument.pdf (2 pages, 186927 bytes). +Output written on dokument.pdf (2 pages, 187529 bytes). 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. [2] (./dokument.aux) ) (see the transcript file for additional information){/usr/local/texlive/2020/te @@ -566,7 +566,7 @@ amsfonts/cm/cmti9.pfb></usr/local/texlive/2020/texmf-dist/fonts/type1/public/am sfonts/cm/cmtt10.pfb></usr/local/texlive/2020/texmf-dist/fonts/type1/public/ams fonts/cm/cmtt8.pfb></usr/local/texlive/2020/texmf-dist/fonts/type1/public/cm-su per/sfrm1000.pfb> -Output written on dokument.pdf (2 pages, 186927 bytes). +Output written on dokument.pdf (2 pages, 187529 bytes). SyncTeX written on dokument.synctex.gz. Transcript written on dokument.log. Reading 1 0 R @@ -621,8 +621,8 @@ Reading 34 0 R Reading 35 0 R Reading 36 0 R -> Uncompressing object 36 0 --> Original Length: 2583 --> Uncompressed Length: 14159 +-> Original Length: 2630 +-> Uncompressed Length: 14315 Reading 37 0 R Reading 38 0 R Reading 39 0 R @@ -656,10 +656,10 @@ Reading 66 0 R Reading 67 0 R Reading 68 0 R Reading 69 0 R --> Uncompressing object 69 0 --> Original Length: 2937 --> Uncompressed Length: 12520 Reading 70 0 R +-> Uncompressing object 70 0 +-> Original Length: 2940 +-> Uncompressed Length: 12532 Reading 71 0 R Reading 72 0 R Reading 73 0 R @@ -692,97 +692,97 @@ Reading 99 0 R Reading 100 0 R Reading 101 0 R Reading 102 0 R --> Uncompressing object 102 0 --> Original Length: 12427 --> Uncompressed Length: 13049 Reading 103 0 R +-> Uncompressing object 103 0 +-> Original Length: 13116 +-> Uncompressed Length: 13761 Reading 104 0 R --> Uncompressing object 104 0 +Reading 105 0 R +-> Uncompressing object 105 0 -> Original Length: 11081 -> Uncompressed Length: 11711 -Reading 105 0 R Reading 106 0 R --> Uncompressing object 106 0 +Reading 107 0 R +-> Uncompressing object 107 0 -> Original Length: 7846 -> Uncompressed Length: 8318 -Reading 107 0 R Reading 108 0 R --> Uncompressing object 108 0 +Reading 109 0 R +-> Uncompressing object 109 0 -> Original Length: 7200 -> Uncompressed Length: 7659 -Reading 109 0 R Reading 110 0 R --> Uncompressing object 110 0 +Reading 111 0 R +-> Uncompressing object 111 0 -> Original Length: 8788 -> Uncompressed Length: 9301 -Reading 111 0 R Reading 112 0 R --> Uncompressing object 112 0 +Reading 113 0 R +-> Uncompressing object 113 0 -> Original Length: 19288 -> Uncompressed Length: 20194 -Reading 113 0 R Reading 114 0 R --> Uncompressing object 114 0 --> Original Length: 12562 --> Uncompressed Length: 13251 Reading 115 0 R +-> Uncompressing object 115 0 +-> Original Length: 12406 +-> Uncompressed Length: 13087 Reading 116 0 R --> Uncompressing object 116 0 +Reading 117 0 R +-> Uncompressing object 117 0 -> Original Length: 10682 -> Uncompressed Length: 11289 -Reading 117 0 R Reading 118 0 R --> Uncompressing object 118 0 +Reading 119 0 R +-> Uncompressing object 119 0 -> Original Length: 7038 -> Uncompressed Length: 7469 -Reading 119 0 R Reading 120 0 R --> Uncompressing object 120 0 +Reading 121 0 R +-> Uncompressing object 121 0 -> Original Length: 7653 -> Uncompressed Length: 8109 -Reading 121 0 R Reading 122 0 R --> Uncompressing object 122 0 +Reading 123 0 R +-> Uncompressing object 123 0 -> Original Length: 12632 -> Uncompressed Length: 13328 -Reading 123 0 R Reading 124 0 R --> Uncompressing object 124 0 +Reading 125 0 R +-> Uncompressing object 125 0 -> Original Length: 12052 -> Uncompressed Length: 12669 -Reading 125 0 R Reading 126 0 R --> Uncompressing object 126 0 +Reading 127 0 R +-> Uncompressing object 127 0 -> Original Length: 7163 -> Uncompressed Length: 7620 -Reading 127 0 R Reading 128 0 R --> Uncompressing object 128 0 +Reading 129 0 R +-> Uncompressing object 129 0 -> Original Length: 6871 -> Uncompressed Length: 7298 -Reading 129 0 R Reading 130 0 R --> Uncompressing object 130 0 +Reading 131 0 R +-> Uncompressing object 131 0 -> Original Length: 9834 -> Uncompressed Length: 10377 -Reading 131 0 R Reading 132 0 R --> Uncompressing object 132 0 +Reading 133 0 R +-> Uncompressing object 133 0 -> Original Length: 13119 -> Uncompressed Length: 13801 -Reading 133 0 R Reading 134 0 R --> Uncompressing object 134 0 +Reading 135 0 R +-> Uncompressing object 135 0 -> Original Length: 3141 -> Uncompressed Length: 3662 -Reading 135 0 R Reading 136 0 R --> Uncompressing object 136 0 +Reading 137 0 R +-> Uncompressing object 137 0 -> Original Length: 1535 -> Uncompressed Length: 1697 -Reading 137 0 R Reading 138 0 R -Reading 140 0 R +Reading 139 0 R Reading 141 0 R Reading 142 0 R Reading 143 0 R @@ -790,9 +790,10 @@ Reading 144 0 R Reading 145 0 R Reading 146 0 R Reading 147 0 R --> Uncompressing object 147 0 --> Original Length: 378 --> Uncompressed Length: 740 +Reading 148 0 R +-> Uncompressing object 148 0 +-> Original Length: 382 +-> Uncompressed Length: 745 /home/a/Documents/sola-gimb-2/mat/domace_naloge/26/dokument.pdf was successfully uncompressed to: /home/a/Documents/sola-gimb-2/mat/domace_naloge/26/dokument-uncompressed.pdf **** Error: An error occurred while reading an XREF table. **** The file has been damaged. This may have been caused 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 |