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author | sijanec <sijanecantonluka@gmail.com> | 2020-12-06 15:11:43 +0100 |
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committer | sijanec <sijanecantonluka@gmail.com> | 2020-12-06 15:11:43 +0100 |
commit | bd98e35ede5d650ee61a08c87af4337b47d5851f (patch) | |
tree | 87ce08f46f498b2110c071a842a721d28b82f67d /mat | |
parent | 13. naloga (diff) | |
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Diffstat (limited to 'mat')
-rw-r--r-- | mat/domace_naloge/19/dokument-modified.pdf | 5755 | ||||
-rw-r--r-- | mat/domace_naloge/19/dokument-recompressed.pdf | bin | 0 -> 4941 bytes | |||
-rw-r--r-- | mat/domace_naloge/19/dokument-tmp.pdf | 5755 | ||||
-rw-r--r-- | mat/domace_naloge/19/dokument-uncompressed.pdf | 5755 | ||||
-rw-r--r-- | mat/domace_naloge/19/dokument.aux | 24 | ||||
-rw-r--r-- | mat/domace_naloge/19/dokument.log | 1829 | ||||
-rw-r--r-- | mat/domace_naloge/19/dokument.out | 2 | ||||
-rw-r--r-- | mat/domace_naloge/19/dokument.pdf | bin | 0 -> 232974 bytes | |||
-rw-r--r-- | mat/domace_naloge/19/dokument.synctex.gz | bin | 0 -> 26779 bytes | |||
-rw-r--r-- | mat/domace_naloge/19/dokument.tex | 290 | ||||
-rw-r--r-- | mat/domace_naloge/19/dokument.toc | 4 | ||||
-rw-r--r-- | mat/domace_naloge/19/stderr.log | 1 | ||||
-rw-r--r-- | mat/domace_naloge/19/stdout.log | 877 |
13 files changed, 20292 insertions, 0 deletions
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6.9738 Tf 5.569 -1.494 Td [(1)]TJ/F8 9.9626 Tf 4.47 1.494 Td [(\051)]TJ +0 g 0 G + [-500(Izra)28(\024)472(cuna)-56(j)-333(k)28(ot)-333(med)-334(daljicama)]TJ/F11 9.9626 Tf 137.014 0 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(1)]TJ/F11 9.9626 Tf 4.469 1.494 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(2)]TJ/F8 9.9626 Tf 7.79 1.494 Td [(in)]TJ/F11 9.9626 Tf 11.624 0 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(2)]TJ/F11 9.9626 Tf 4.469 1.494 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(3)]TJ/F8 9.9626 Tf 4.469 1.494 Td [(.)]TJ -108.827 -25.545 Td [(\006)]TJ/F7 6.9738 Tf 7.196 -1.495 Td [(notranjih)-385(k)31(oto)31(v)]TJ/F8 9.9626 Tf 57.043 1.495 Td [(=)-278(\050)]TJ/F11 9.9626 Tf 14.39 0 Td [(n)]TJ/F7 6.9738 Tf 5.98 -1.495 Td [(=8)]TJ/F8 9.9626 Tf 10.586 1.495 Td [(\051)]TJ/F14 9.9626 Tf 6.088 0 Td [(\000)]TJ/F8 9.9626 Tf 9.962 0 Td [(2\051)]TJ/F14 9.9626 Tf 11.07 0 Td [(\001)]TJ/F8 9.9626 Tf 4.981 0 Td [(180)]TJ/F34 9.9626 Tf 14.944 0 Td [(\260)]TJ/F8 9.9626 Tf 6.088 0 Td [(=)-278(1080)]TJ/F34 9.9626 Tf 30.441 0 Td [(\260)]TJ/F14 9.9626 Tf 6.087 0 Td [(!)]TJ/F11 9.9626 Tf 12.73 0 Td [(\013)]TJ/F8 9.9626 Tf 9.178 0 Td [(=)]TJ 11.711 6.739 Td [(1080)]TJ/F34 9.9626 Tf 19.926 0 Td [(\260)]TJ +ET +q +1 0 0 1 411.608 585.305 cm +[]0 d 0 J 0.398 w 0 0 m 23.245 0 l S +Q +BT +/F8 9.9626 Tf 420.74 575.981 Td [(8)]TJ 18.077 6.834 Td [(=)-278(135)]TJ/F34 9.9626 Tf 25.46 0 Td [(\260)]TJ +0 g 0 G +/F78 9.9626 Tf -372.079 -23.76 Td [(a)]TJ/F7 6.9738 Tf 5.569 -1.494 Td [(2)]TJ/F8 9.9626 Tf 4.47 1.494 Td [(\051)]TJ +0 g 0 G + [-500(Izra)28(\024)472(cuna)-56(j)-333(k)28(ot)-333(med)-334(daljicama)]TJ/F11 9.9626 Tf 137.014 0 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(1)]TJ/F11 9.9626 Tf 4.469 1.494 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(3)]TJ/F8 9.9626 Tf 7.791 1.494 Td [(in)]TJ/F11 9.9626 Tf 11.623 0 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(3)]TJ/F11 9.9626 Tf 4.469 1.494 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(5)]TJ/F8 9.9626 Tf 4.469 1.494 Td [(.)]TJ -101.355 -25.545 Td [(\006)]TJ/F7 6.9738 Tf 7.196 -1.495 Td [(notranjih)-385(k)31(oto)31(v)]TJ/F8 9.9626 Tf 57.043 1.495 Td [(=)-278(\050)]TJ/F11 9.9626 Tf 14.39 0 Td [(n)]TJ/F7 6.9738 Tf 5.98 -1.495 Td [(=4)]TJ/F8 9.9626 Tf 10.586 1.495 Td [(\051)]TJ/F14 9.9626 Tf 6.088 0 Td [(\000)]TJ/F8 9.9626 Tf 9.962 0 Td [(2\051)]TJ/F14 9.9626 Tf 11.07 0 Td [(\001)]TJ/F8 9.9626 Tf 4.981 0 Td [(180)]TJ/F34 9.9626 Tf 14.944 0 Td [(\260)]TJ/F8 9.9626 Tf 6.088 0 Td [(=)-278(360)]TJ/F34 9.9626 Tf 25.46 0 Td [(\260)]TJ/F14 9.9626 Tf 6.087 0 Td [(!)]TJ/F11 9.9626 Tf 12.73 0 Td [(\013)]TJ/F8 9.9626 Tf 9.178 0 Td [(=)]TJ 11.711 6.739 Td [(360)]TJ/F34 9.9626 Tf 14.944 0 Td [(\260)]TJ +ET +q +1 0 0 1 414.099 536 cm +[]0 d 0 J 0.398 w 0 0 m 18.264 0 l S +Q +BT +/F8 9.9626 Tf 420.74 526.676 Td [(4)]TJ 15.586 6.834 Td [(=)-278(90)]TJ/F34 9.9626 Tf 20.479 0 Td [(\260)]TJ +0 g 0 G +/F78 9.9626 Tf -380.145 -25.067 Td [(b\051)]TJ +0 g 0 G +/F8 9.9626 Tf 16.909 2.518 Td [(\024)]TJ -1.107 -2.518 Td [(Ce)-318(enak)28(okrak)28(em)28(u)-318(trik)28(otniku)]TJ/F11 9.9626 Tf 126.606 0 Td [(AB)-50(C)]TJ/F8 9.9626 Tf 26.525 0 Td [(o)28(\024)472(crtamo)-318(kr)1(o)27(\024)473(z)-1(n)1(ic)-1(o,)-320(pripada)-317(kraku)]TJ/F11 9.9626 Tf 145.353 0 Td [(AC)]TJ/F8 9.9626 Tf 18.468 0 Td [(sredi)53(\024)447(s)28(\024)472(cni)-318(k)28(ot)-317(75)]TJ/F34 9.9626 Tf 67.348 0 Td [(\260)]TJ/F8 9.9626 Tf 3.32 0 Td [(.)-439(Izra)28(\024)472(cuna)-56(j)-317(k)28(ote)]TJ -387.62 -11.955 Td [(tega)-333(trik)27(otn)1(ik)55(a.)]TJ/F11 9.9626 Tf 119.181 -16.535 Td [(\014)]TJ/F8 9.9626 Tf 8.928 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(\013)]TJ/F8 9.9626 Tf 9.177 0 Td [(=)]TJ 11.712 6.74 Td [(75)]TJ/F34 9.9626 Tf 9.963 0 Td [(\260)]TJ +ET +q +1 0 0 1 251.976 482.443 cm +[]0 d 0 J 0.398 w 0 0 m 13.283 0 l S +Q +BT +/F8 9.9626 Tf 256.127 473.119 Td [(2)]TJ 13.095 6.834 Td [(=)-278(37)]TJ/F11 9.9626 Tf 20.478 0 Td [(;)]TJ/F8 9.9626 Tf 2.768 0 Td [(5)]TJ/F34 9.9626 Tf 4.981 0 Td [(\260)]TJ/F14 9.9626 Tf 6.087 0 Td [(!)]TJ/F11 9.9626 Tf 12.73 0 Td [(\015)]TJ/F8 9.9626 Tf 8.479 0 Td [(=)-278(180)]TJ/F34 9.9626 Tf 25.46 0 Td [(\260)]TJ/F14 9.9626 Tf 5.534 0 Td [(\000)]TJ/F8 9.9626 Tf 9.963 0 Td [(2)]TJ/F14 9.9626 Tf 7.195 0 Td [(\001)]TJ/F8 9.9626 Tf 4.981 0 Td [(37)]TJ/F11 9.9626 Tf 9.963 0 Td [(;)]TJ/F8 9.9626 Tf 2.767 0 Td [(5)]TJ/F34 9.9626 Tf 4.982 0 Td [(\260)]TJ/F8 9.9626 Tf 6.087 0 Td [(=)-278(105)]TJ/F34 9.9626 Tf 25.46 0 Td [(\260)]TJ +0 g 0 G +/F78 9.9626 Tf -370.485 -23.507 Td [(5.)]TJ +0 g 0 G +/F8 9.9626 Tf 13.892 0 Td [(Dok)56(a)27(\024)473(z)-1(i)1(,)-334(da)-333(se)-334(v)-333(deltoidu)-333(diagonali)-333(sek)55(ata)-333(p)-28(o)-28(d)-333(pra)28(vim)-333(k)27(otom.)]TJ/F14 9.9626 Tf 112.235 -20.413 Td [(4)]TJ/F11 9.9626 Tf 8.856 0 Td [(AB)-50(D)]TJ/F8 9.9626 Tf 25.437 0 Td [(~)639(=)]TJ/F14 9.9626 Tf 8.579 0 Td [(4)]TJ/F11 9.9626 Tf 11.07 0 Td [(B)-50(C)-72(D)]TJ/F14 9.9626 Tf 27.182 0 Td [(!)]TJ +ET +q +1 0 0 1 276.633 444.236 cm +[]0 d 0 J 0.398 w 0 0 m 86.266 0 l S +Q +BT +/F11 9.9626 Tf 276.633 436.033 Td [(AP)]TJ/F7 6.9738 Tf 13.868 -1.799 Td [(\050prese)31(\024)538(ci)59(\024)511(s)31(\024)538(ce)-385(diag)1(onal\051)]TJ 72.398 -2.241 Td [(\050)]TJ/F10 6.9738 Tf 3.113 0 Td [(v)]TJ/F9 4.9813 Tf 3.985 -1.002 Td [(A)]TJ/F7 6.9738 Tf 5.66 1.002 Td [(\051)]TJ/F8 9.9626 Tf 6.379 4.04 Td [(=)]TJ +ET +q +1 0 0 1 392.552 444.236 cm +[]0 d 0 J 0.398 w 0 0 m 15.613 0 l S +Q +BT +/F11 9.9626 Tf 392.552 436.033 Td [(P)-139(C)]TJ/F7 6.9738 Tf 15.613 -1.799 Td [(\050)]TJ/F10 6.9738 Tf 3.113 0 Td [(v)]TJ/F9 4.9813 Tf 3.985 -1.001 Td [(C)]TJ/F7 6.9738 Tf 5.799 1.001 Td [(\051)]TJ/F14 9.9626 Tf 6.378 1.799 Td [(!)]TJ -273.077 -22.156 Td [(4)]TJ/F11 9.9626 Tf 8.855 0 Td [(AP)-139(D)]TJ/F8 9.9626 Tf 25.161 0 Td [(~)639(=)]TJ/F14 9.9626 Tf 8.579 0 Td [(4)]TJ/F11 9.9626 Tf 11.069 0 Td [(P)-139(C)-71(D)]TJ/F14 9.9626 Tf 26.352 0 Td [(^)]TJ/F11 9.9626 Tf 8.856 0 Td [(P)]TJ/F14 9.9626 Tf 10.547 0 Td [(2)]TJ/F11 9.9626 Tf 9.409 0 Td [(AC)]TJ/F14 9.9626 Tf 17.519 0 Td [(^)]TJ/F28 9.9626 Tf 8.856 0 Td [(])]TJ/F11 9.9626 Tf 7.195 0 Td [(C)-72(P)-138(D)]TJ/F8 9.9626 Tf 26.905 0 Td [(=)]TJ/F28 9.9626 Tf 10.516 0 Td [(])]TJ/F11 9.9626 Tf 7.196 0 Td [(D)-28(P)-139(A)]TJ/F8 9.9626 Tf 26.544 0 Td [(=)]TJ/F28 9.9626 Tf 10.516 0 Td [(])]TJ/F11 9.9626 Tf 7.195 0 Td [(AP)-139(B)]TJ/F8 9.9626 Tf 26.076 0 Td [(=)]TJ/F28 9.9626 Tf 10.516 0 Td [(])]TJ/F11 9.9626 Tf 7.195 0 Td [(B)-50(P)-139(C)]TJ/F14 9.9626 Tf 26.437 0 Td [(!)]TJ/F28 9.9626 Tf -240.811 -17.029 Td [(])]TJ/F11 9.9626 Tf 7.195 0 Td [(C)-72(P)-138(D)]TJ/F8 9.9626 Tf 26.906 0 Td [(=)]TJ/F28 9.9626 Tf 10.516 0 Td [(])]TJ/F11 9.9626 Tf 7.195 0 Td [(D)-28(P)-139(A)]TJ/F8 9.9626 Tf 26.544 0 Td [(=)]TJ/F28 9.9626 Tf 10.516 0 Td [(])]TJ/F11 9.9626 Tf 7.195 0 Td [(AP)-139(B)]TJ/F8 9.9626 Tf 26.076 0 Td [(=)]TJ/F28 9.9626 Tf 10.516 0 Td [(])]TJ/F11 9.9626 Tf 7.195 0 Td [(B)-50(P)-139(C)]TJ/F8 9.9626 Tf 26.437 0 Td [(=)-278(90)]TJ/F34 9.9626 Tf 20.479 0 Td [(\260)]TJ +ET +q +1 0 0 1 45.638 386.894 cm +[]0 d 0 J 0.398 w 0 0 m 504 0 l S +Q +q +1 0 0 1 45.837 374.74 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +0 0 1 0 k 0 0 1 0 K +q +1 0 0 1 46.036 374.74 cm +0 0 45.718 11.955 re f +Q +0 g 0 G +BT +/F8 9.9626 Tf 52.014 378.326 Td [(nadloga)]TJ +ET +q +1 0 0 1 91.953 374.74 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +q +1 0 0 1 94.344 374.74 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +0 0 1 0 k 0 0 1 0 K +q +1 0 0 1 94.543 374.74 cm +0 0 90.62 11.955 re f +Q +0 g 0 G +BT +/F8 9.9626 Tf 137.363 378.326 Td [(1)]TJ +ET +q +1 0 0 1 185.363 374.74 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +0 0 1 0 k 0 0 1 0 K +q +1 0 0 1 185.562 374.74 cm +0 0 90.62 11.955 re f +Q +0 g 0 G +BT +/F8 9.9626 Tf 228.382 378.326 Td [(2)]TJ +ET +q +1 0 0 1 276.382 374.74 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +0 0 1 0 k 0 0 1 0 K +q +1 0 0 1 276.581 374.74 cm +0 0 90.62 11.955 re f +Q +0 g 0 G +BT +/F8 9.9626 Tf 319.401 378.326 Td [(3)]TJ +ET +q +1 0 0 1 367.401 374.74 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +0 0 1 0 k 0 0 1 0 K +q +1 0 0 1 367.6 374.74 cm +0 0 90.62 11.955 re f +Q +0 g 0 G +BT +/F8 9.9626 Tf 410.42 378.326 Td [(4)]TJ +ET +q +1 0 0 1 458.42 374.74 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +0 0 1 0 k 0 0 1 0 K +q +1 0 0 1 458.619 374.74 cm +0 0 90.62 11.955 re f +Q +0 g 0 G +BT +/F8 9.9626 Tf 501.438 378.326 Td [(5)]TJ +ET +q +1 0 0 1 549.439 374.74 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +q +1 0 0 1 45.638 374.54 cm +[]0 d 0 J 0.398 w 0 0 m 504 0 l S +Q +q +1 0 0 1 45.837 362.386 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +BT +/F78 9.9626 Tf 55.767 365.973 Td [(to)32(\024)543(ck)32(e)]TJ +ET +q +1 0 0 1 91.953 362.386 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +q +1 0 0 1 94.344 362.386 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +BT +/F8 9.9626 Tf 110.699 365.973 Td [(2)-222(+)-222(2)-223(+)-222(2)-278(=)]TJ/F78 9.9626 Tf 52.58 0 Td [(6)]TJ +ET +q +1 0 0 1 185.363 362.386 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +BT +/F8 9.9626 Tf 210.297 365.973 Td [(3)-222(+)-222(3)-278(=)]TJ/F78 9.9626 Tf 35.423 0 Td [(6)]TJ +ET +q +1 0 0 1 276.382 362.386 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +BT +/F8 9.9626 Tf 301.316 365.973 Td [(3)-222(+)-222(3)-278(=)]TJ/F78 9.9626 Tf 35.422 0 Td [(6)]TJ +ET +q +1 0 0 1 367.401 362.386 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +BT +/F8 9.9626 Tf 373.578 365.973 Td [(\0501)]TJ/F11 9.9626 Tf 8.855 0 Td [(;)]TJ/F8 9.9626 Tf 4.428 0 Td [(5)-66(+)-67(1)]TJ/F11 9.9626 Tf 19.034 0 Td [(;)]TJ/F8 9.9626 Tf 4.428 0 Td [(5\051)-66(+)-67(3)-277(=)]TJ/F78 9.9626 Tf 36.191 0 Td [(6)]TJ +ET +q +1 0 0 1 458.42 362.386 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +BT +/F78 9.9626 Tf 501.065 365.973 Td [(8)]TJ +ET +q +1 0 0 1 549.439 362.386 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +q +1 0 0 1 45.638 362.187 cm +[]0 d 0 J 0.398 w 0 0 m 504 0 l S +Q +0 g 0 G +0 g 0 G +BT +/F8 9.9626 Tf 229.553 345.522 Td [(Re)53(\024)447(siti)-333(je)-334(treba)]TJ/F78 9.9626 Tf 65.573 2.408 Td [(\024)]TJ -0.318 -2.408 Td 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+[]0 d 0 J 0.398 w 0 0 m 84.281 0 l S +Q +BT +/F8 9.9626 Tf 374.72 671.567 Td [(13)-167(cm)]TJ/F7 6.9738 Tf 24.353 2.878 Td [(2)]TJ/F14 9.9626 Tf 6.684 -2.878 Td [(\000)]TJ/F1 9.9626 Tf 9.962 14.048 Td [(\022)]TJ/F11 9.9626 Tf 8.529 -7.308 Td [(a)]TJ/F14 9.9626 Tf 7.48 0 Td [(\000)]TJ/F11 9.9626 Tf 9.963 0 Td [(c)]TJ +ET +q +1 0 0 1 424.248 674.058 cm +[]0 d 0 J 0.398 w 0 0 m 21.754 0 l S +Q +BT +/F8 9.9626 Tf 432.635 664.733 Td [(2)]TJ/F1 9.9626 Tf 14.563 20.882 Td [(\023)]TJ/F7 6.9738 Tf 7.334 -2.065 Td [(2)]TJ/F8 9.9626 Tf 7.236 -11.983 Td [(=)]TJ/F1 9.9626 Tf -224.632 -17.371 Td [(p)]TJ +ET +q +1 0 0 1 247.098 654.396 cm +[]0 d 0 J 0.398 w 0 0 m 64.84 0 l S +Q +BT +/F8 9.9626 Tf 247.098 644.412 Td [(13)-167(cm)]TJ/F7 6.9738 Tf 24.353 2.878 Td [(2)]TJ/F14 9.9626 Tf 6.684 -2.878 Td [(\000)]TJ/F8 9.9626 Tf 9.962 0 Td [(5)-167(cm)]TJ/F7 6.9738 Tf 19.372 2.878 Td [(2)]TJ/F8 9.9626 Tf 7.237 -2.878 Td [(=)]TJ/F14 9.9626 Tf 10.516 9.203 Td [(p)]TJ +ET +q +1 0 0 1 333.524 653.815 cm +[]0 d 0 J 0.398 w 0 0 m 33.804 0 l S +Q +BT +/F8 9.9626 Tf 333.524 644.412 Td [(144)-167(cm)]TJ/F7 6.9738 Tf 29.334 2.878 Td [(2)]TJ/F8 9.9626 Tf 7.237 -2.878 Td [(=)-278(12)-166(cm)]TJ +0 g 0 G +/F78 9.9626 Tf -313.443 -20.714 Td [(4.)]TJ +0 g 0 G +0 g 0 G + [-1194(a\051)]TJ +0 g 0 G +/F8 9.9626 Tf 35.81 0 Td [(Na)-56(j)-333(b)-28(o)-27(do)]TJ/F11 9.9626 Tf 44.279 0 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(1)]TJ/F11 9.9626 Tf 4.469 1.494 Td [(;)-167(A)]TJ/F7 6.9738 Tf 11.9 -1.494 Td [(2)]TJ/F11 9.9626 Tf 4.469 1.494 Td [(;)-167(:::A)]TJ/F7 6.9738 Tf 20.202 -1.494 Td [(9)]TJ/F8 9.9626 Tf 7.791 1.494 Td [(ogli)53(\024)447(s)28(\024)472(ca)-333(pra)28(vilnega)-334(dev)28(etk)28(otnik)55(a.)]TJ +0 g 0 G +/F78 9.9626 Tf -100.846 -15.338 Td [(a)]TJ/F7 6.9738 Tf 5.569 -1.494 Td [(1)]TJ/F8 9.9626 Tf 4.47 1.494 Td [(\051)]TJ +0 g 0 G + [-500(Izra)28(\024)472(cuna)-56(j)-333(k)28(ot)-333(med)-334(daljicama)]TJ/F11 9.9626 Tf 137.014 0 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(1)]TJ/F11 9.9626 Tf 4.469 1.494 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(2)]TJ/F8 9.9626 Tf 7.79 1.494 Td [(in)]TJ/F11 9.9626 Tf 11.624 0 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(2)]TJ/F11 9.9626 Tf 4.469 1.494 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(3)]TJ/F8 9.9626 Tf 4.469 1.494 Td [(.)]TJ -108.827 -25.545 Td [(\006)]TJ/F7 6.9738 Tf 7.196 -1.495 Td [(notranjih)-385(k)31(oto)31(v)]TJ/F8 9.9626 Tf 57.043 1.495 Td [(=)-278(\050)]TJ/F11 9.9626 Tf 14.39 0 Td [(n)]TJ/F7 6.9738 Tf 5.98 -1.495 Td [(=8)]TJ/F8 9.9626 Tf 10.586 1.495 Td [(\051)]TJ/F14 9.9626 Tf 6.088 0 Td [(\000)]TJ/F8 9.9626 Tf 9.962 0 Td [(2\051)]TJ/F14 9.9626 Tf 11.07 0 Td [(\001)]TJ/F8 9.9626 Tf 4.981 0 Td [(180)]TJ/F34 9.9626 Tf 14.944 0 Td [(\260)]TJ/F8 9.9626 Tf 6.088 0 Td [(=)-278(1080)]TJ/F34 9.9626 Tf 30.441 0 Td [(\260)]TJ/F14 9.9626 Tf 6.087 0 Td [(!)]TJ/F11 9.9626 Tf 12.73 0 Td [(\013)]TJ/F8 9.9626 Tf 9.178 0 Td [(=)]TJ 11.711 6.739 Td [(1080)]TJ/F34 9.9626 Tf 19.926 0 Td [(\260)]TJ +ET +q +1 0 0 1 411.608 585.305 cm +[]0 d 0 J 0.398 w 0 0 m 23.245 0 l S +Q +BT +/F8 9.9626 Tf 420.74 575.981 Td [(8)]TJ 18.077 6.834 Td [(=)-278(135)]TJ/F34 9.9626 Tf 25.46 0 Td [(\260)]TJ +0 g 0 G +/F78 9.9626 Tf -372.079 -23.76 Td [(a)]TJ/F7 6.9738 Tf 5.569 -1.494 Td [(2)]TJ/F8 9.9626 Tf 4.47 1.494 Td [(\051)]TJ +0 g 0 G + [-500(Izra)28(\024)472(cuna)-56(j)-333(k)28(ot)-333(med)-334(daljicama)]TJ/F11 9.9626 Tf 137.014 0 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(1)]TJ/F11 9.9626 Tf 4.469 1.494 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(3)]TJ/F8 9.9626 Tf 7.791 1.494 Td [(in)]TJ/F11 9.9626 Tf 11.623 0 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(3)]TJ/F11 9.9626 Tf 4.469 1.494 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(5)]TJ/F8 9.9626 Tf 4.469 1.494 Td [(.)]TJ -101.355 -25.545 Td [(\006)]TJ/F7 6.9738 Tf 7.196 -1.495 Td [(notranjih)-385(k)31(oto)31(v)]TJ/F8 9.9626 Tf 57.043 1.495 Td [(=)-278(\050)]TJ/F11 9.9626 Tf 14.39 0 Td [(n)]TJ/F7 6.9738 Tf 5.98 -1.495 Td [(=4)]TJ/F8 9.9626 Tf 10.586 1.495 Td [(\051)]TJ/F14 9.9626 Tf 6.088 0 Td [(\000)]TJ/F8 9.9626 Tf 9.962 0 Td [(2\051)]TJ/F14 9.9626 Tf 11.07 0 Td [(\001)]TJ/F8 9.9626 Tf 4.981 0 Td [(180)]TJ/F34 9.9626 Tf 14.944 0 Td [(\260)]TJ/F8 9.9626 Tf 6.088 0 Td [(=)-278(360)]TJ/F34 9.9626 Tf 25.46 0 Td [(\260)]TJ/F14 9.9626 Tf 6.087 0 Td [(!)]TJ/F11 9.9626 Tf 12.73 0 Td [(\013)]TJ/F8 9.9626 Tf 9.178 0 Td [(=)]TJ 11.711 6.739 Td [(360)]TJ/F34 9.9626 Tf 14.944 0 Td [(\260)]TJ +ET +q +1 0 0 1 414.099 536 cm +[]0 d 0 J 0.398 w 0 0 m 18.264 0 l S +Q +BT +/F8 9.9626 Tf 420.74 526.676 Td [(4)]TJ 15.586 6.834 Td [(=)-278(90)]TJ/F34 9.9626 Tf 20.479 0 Td [(\260)]TJ +0 g 0 G +/F78 9.9626 Tf -380.145 -25.067 Td [(b\051)]TJ +0 g 0 G +/F8 9.9626 Tf 16.909 2.518 Td [(\024)]TJ -1.107 -2.518 Td [(Ce)-318(enak)28(okrak)28(em)28(u)-318(trik)28(otniku)]TJ/F11 9.9626 Tf 126.606 0 Td [(AB)-50(C)]TJ/F8 9.9626 Tf 26.525 0 Td [(o)28(\024)472(crtamo)-318(kr)1(o)27(\024)473(z)-1(n)1(ic)-1(o,)-320(pripada)-317(kraku)]TJ/F11 9.9626 Tf 145.353 0 Td [(AC)]TJ/F8 9.9626 Tf 18.468 0 Td [(sredi)53(\024)447(s)28(\024)472(cni)-318(k)28(ot)-317(75)]TJ/F34 9.9626 Tf 67.348 0 Td [(\260)]TJ/F8 9.9626 Tf 3.32 0 Td [(.)-439(Izra)28(\024)472(cuna)-56(j)-317(k)28(ote)]TJ -387.62 -11.955 Td [(tega)-333(trik)27(otn)1(ik)55(a.)]TJ/F11 9.9626 Tf 119.181 -16.535 Td [(\014)]TJ/F8 9.9626 Tf 8.928 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(\013)]TJ/F8 9.9626 Tf 9.177 0 Td [(=)]TJ 11.712 6.74 Td [(75)]TJ/F34 9.9626 Tf 9.963 0 Td [(\260)]TJ +ET +q +1 0 0 1 251.976 482.443 cm +[]0 d 0 J 0.398 w 0 0 m 13.283 0 l S +Q +BT +/F8 9.9626 Tf 256.127 473.119 Td [(2)]TJ 13.095 6.834 Td [(=)-278(37)]TJ/F11 9.9626 Tf 20.478 0 Td [(;)]TJ/F8 9.9626 Tf 2.768 0 Td [(5)]TJ/F34 9.9626 Tf 4.981 0 Td [(\260)]TJ/F14 9.9626 Tf 6.087 0 Td [(!)]TJ/F11 9.9626 Tf 12.73 0 Td [(\015)]TJ/F8 9.9626 Tf 8.479 0 Td [(=)-278(180)]TJ/F34 9.9626 Tf 25.46 0 Td [(\260)]TJ/F14 9.9626 Tf 5.534 0 Td [(\000)]TJ/F8 9.9626 Tf 9.963 0 Td [(2)]TJ/F14 9.9626 Tf 7.195 0 Td [(\001)]TJ/F8 9.9626 Tf 4.981 0 Td [(37)]TJ/F11 9.9626 Tf 9.963 0 Td [(;)]TJ/F8 9.9626 Tf 2.767 0 Td [(5)]TJ/F34 9.9626 Tf 4.982 0 Td [(\260)]TJ/F8 9.9626 Tf 6.087 0 Td [(=)-278(105)]TJ/F34 9.9626 Tf 25.46 0 Td [(\260)]TJ +0 g 0 G +/F78 9.9626 Tf -370.485 -23.507 Td [(5.)]TJ +0 g 0 G +/F8 9.9626 Tf 13.892 0 Td [(Dok)56(a)27(\024)473(z)-1(i)1(,)-334(da)-333(se)-334(v)-333(deltoidu)-333(diagonali)-333(sek)55(ata)-333(p)-28(o)-28(d)-333(pra)28(vim)-333(k)27(otom.)]TJ/F14 9.9626 Tf 112.235 -20.413 Td [(4)]TJ/F11 9.9626 Tf 8.856 0 Td [(AB)-50(D)]TJ/F8 9.9626 Tf 25.437 0 Td [(~)639(=)]TJ/F14 9.9626 Tf 8.579 0 Td [(4)]TJ/F11 9.9626 Tf 11.07 0 Td [(B)-50(C)-72(D)]TJ/F14 9.9626 Tf 27.182 0 Td [(!)]TJ +ET +q +1 0 0 1 276.633 444.236 cm +[]0 d 0 J 0.398 w 0 0 m 86.266 0 l S +Q +BT +/F11 9.9626 Tf 276.633 436.033 Td [(AP)]TJ/F7 6.9738 Tf 13.868 -1.799 Td [(\050prese)31(\024)538(ci)59(\024)511(s)31(\024)538(ce)-385(diag)1(onal\051)]TJ 72.398 -2.241 Td [(\050)]TJ/F10 6.9738 Tf 3.113 0 Td [(v)]TJ/F9 4.9813 Tf 3.985 -1.002 Td [(A)]TJ/F7 6.9738 Tf 5.66 1.002 Td [(\051)]TJ/F8 9.9626 Tf 6.379 4.04 Td [(=)]TJ +ET +q +1 0 0 1 392.552 444.236 cm +[]0 d 0 J 0.398 w 0 0 m 15.613 0 l S +Q +BT +/F11 9.9626 Tf 392.552 436.033 Td [(P)-139(C)]TJ/F7 6.9738 Tf 15.613 -1.799 Td [(\050)]TJ/F10 6.9738 Tf 3.113 0 Td [(v)]TJ/F9 4.9813 Tf 3.985 -1.001 Td [(C)]TJ/F7 6.9738 Tf 5.799 1.001 Td [(\051)]TJ/F14 9.9626 Tf 6.378 1.799 Td [(!)]TJ -273.077 -22.156 Td [(4)]TJ/F11 9.9626 Tf 8.855 0 Td [(AP)-139(D)]TJ/F8 9.9626 Tf 25.161 0 Td [(~)639(=)]TJ/F14 9.9626 Tf 8.579 0 Td [(4)]TJ/F11 9.9626 Tf 11.069 0 Td [(P)-139(C)-71(D)]TJ/F14 9.9626 Tf 26.352 0 Td [(^)]TJ/F11 9.9626 Tf 8.856 0 Td [(P)]TJ/F14 9.9626 Tf 10.547 0 Td [(2)]TJ/F11 9.9626 Tf 9.409 0 Td [(AC)]TJ/F14 9.9626 Tf 17.519 0 Td [(^)]TJ/F28 9.9626 Tf 8.856 0 Td [(])]TJ/F11 9.9626 Tf 7.195 0 Td [(C)-72(P)-138(D)]TJ/F8 9.9626 Tf 26.905 0 Td [(=)]TJ/F28 9.9626 Tf 10.516 0 Td [(])]TJ/F11 9.9626 Tf 7.196 0 Td [(D)-28(P)-139(A)]TJ/F8 9.9626 Tf 26.544 0 Td [(=)]TJ/F28 9.9626 Tf 10.516 0 Td [(])]TJ/F11 9.9626 Tf 7.195 0 Td [(AP)-139(B)]TJ/F8 9.9626 Tf 26.076 0 Td [(=)]TJ/F28 9.9626 Tf 10.516 0 Td [(])]TJ/F11 9.9626 Tf 7.195 0 Td [(B)-50(P)-139(C)]TJ/F14 9.9626 Tf 26.437 0 Td [(!)]TJ/F28 9.9626 Tf -240.811 -17.029 Td [(])]TJ/F11 9.9626 Tf 7.195 0 Td [(C)-72(P)-138(D)]TJ/F8 9.9626 Tf 26.906 0 Td [(=)]TJ/F28 9.9626 Tf 10.516 0 Td [(])]TJ/F11 9.9626 Tf 7.195 0 Td [(D)-28(P)-139(A)]TJ/F8 9.9626 Tf 26.544 0 Td [(=)]TJ/F28 9.9626 Tf 10.516 0 Td [(])]TJ/F11 9.9626 Tf 7.195 0 Td [(AP)-139(B)]TJ/F8 9.9626 Tf 26.076 0 Td [(=)]TJ/F28 9.9626 Tf 10.516 0 Td [(])]TJ/F11 9.9626 Tf 7.195 0 Td [(B)-50(P)-139(C)]TJ/F8 9.9626 Tf 26.437 0 Td [(=)-278(90)]TJ/F34 9.9626 Tf 20.479 0 Td [(\260)]TJ +ET +q +1 0 0 1 45.638 386.894 cm +[]0 d 0 J 0.398 w 0 0 m 504 0 l S +Q +q +1 0 0 1 45.837 374.74 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +0 0 1 0 k 0 0 1 0 K +q +1 0 0 1 46.036 374.74 cm +0 0 45.718 11.955 re f +Q +0 g 0 G +BT +/F8 9.9626 Tf 52.014 378.326 Td [(nadloga)]TJ +ET +q +1 0 0 1 91.953 374.74 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +q +1 0 0 1 94.344 374.74 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +0 0 1 0 k 0 0 1 0 K +q +1 0 0 1 94.543 374.74 cm +0 0 90.62 11.955 re f +Q +0 g 0 G +BT +/F8 9.9626 Tf 137.363 378.326 Td [(1)]TJ +ET +q +1 0 0 1 185.363 374.74 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +0 0 1 0 k 0 0 1 0 K +q +1 0 0 1 185.562 374.74 cm +0 0 90.62 11.955 re f +Q +0 g 0 G +BT +/F8 9.9626 Tf 228.382 378.326 Td [(2)]TJ +ET +q +1 0 0 1 276.382 374.74 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +0 0 1 0 k 0 0 1 0 K +q +1 0 0 1 276.581 374.74 cm +0 0 90.62 11.955 re f +Q +0 g 0 G +BT +/F8 9.9626 Tf 319.401 378.326 Td [(3)]TJ +ET +q +1 0 0 1 367.401 374.74 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +0 0 1 0 k 0 0 1 0 K +q +1 0 0 1 367.6 374.74 cm +0 0 90.62 11.955 re f +Q +0 g 0 G +BT +/F8 9.9626 Tf 410.42 378.326 Td [(4)]TJ +ET +q +1 0 0 1 458.42 374.74 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +0 0 1 0 k 0 0 1 0 K +q +1 0 0 1 458.619 374.74 cm +0 0 90.62 11.955 re f +Q +0 g 0 G +BT 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11.955 l S +Q +BT +/F8 9.9626 Tf 373.578 365.973 Td [(\0501)]TJ/F11 9.9626 Tf 8.855 0 Td [(;)]TJ/F8 9.9626 Tf 4.428 0 Td [(5)-66(+)-67(1)]TJ/F11 9.9626 Tf 19.034 0 Td [(;)]TJ/F8 9.9626 Tf 4.428 0 Td [(5\051)-66(+)-67(3)-277(=)]TJ/F78 9.9626 Tf 36.191 0 Td [(6)]TJ +ET +q +1 0 0 1 458.42 362.386 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +BT +/F78 9.9626 Tf 501.065 365.973 Td [(8)]TJ +ET +q +1 0 0 1 549.439 362.386 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +q +1 0 0 1 45.638 362.187 cm +[]0 d 0 J 0.398 w 0 0 m 504 0 l S +Q +0 g 0 G +0 g 0 G +BT +/F8 9.9626 Tf 229.553 345.522 Td [(Re)53(\024)447(siti)-333(je)-334(treba)]TJ/F78 9.9626 Tf 65.573 2.408 Td [(\024)]TJ -0.318 -2.408 Td [(STIRI)]TJ/F8 9.9626 Tf 34.938 0 Td [(nadloge.)]TJ -101.017 -11.955 Td [(50%)-278(=)-278(13)-333(to)28(\024)472(ck,)-333(100%)-278(=)-278(26)-333(to)28(\024)472(ck)]TJ/F71 14.3462 Tf -183.091 -32.687 Td [(2)-1125(Zaklju)31(\024)531(cek)]TJ/F8 9.9626 Tf 0 -21.821 Td 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432.635 664.733 Td [(2)]TJ/F1 9.9626 Tf 14.563 20.882 Td [(\023)]TJ/F7 6.9738 Tf 7.334 -2.065 Td [(2)]TJ/F8 9.9626 Tf 7.236 -11.983 Td [(=)]TJ/F1 9.9626 Tf -224.632 -17.371 Td [(p)]TJ +ET +q +1 0 0 1 247.098 654.396 cm +[]0 d 0 J 0.398 w 0 0 m 64.84 0 l S +Q +BT +/F8 9.9626 Tf 247.098 644.412 Td [(13)-167(cm)]TJ/F7 6.9738 Tf 24.353 2.878 Td [(2)]TJ/F14 9.9626 Tf 6.684 -2.878 Td [(\000)]TJ/F8 9.9626 Tf 9.962 0 Td [(5)-167(cm)]TJ/F7 6.9738 Tf 19.372 2.878 Td [(2)]TJ/F8 9.9626 Tf 7.237 -2.878 Td [(=)]TJ/F14 9.9626 Tf 10.516 9.203 Td [(p)]TJ +ET +q +1 0 0 1 333.524 653.815 cm +[]0 d 0 J 0.398 w 0 0 m 33.804 0 l S +Q +BT +/F8 9.9626 Tf 333.524 644.412 Td [(144)-167(cm)]TJ/F7 6.9738 Tf 29.334 2.878 Td [(2)]TJ/F8 9.9626 Tf 7.237 -2.878 Td [(=)-278(12)-166(cm)]TJ +0 g 0 G +/F78 9.9626 Tf -313.443 -20.714 Td [(4.)]TJ +0 g 0 G +0 g 0 G + [-1194(a\051)]TJ +0 g 0 G +/F8 9.9626 Tf 35.81 0 Td [(Na)-56(j)-333(b)-28(o)-27(do)]TJ/F11 9.9626 Tf 44.279 0 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(1)]TJ/F11 9.9626 Tf 4.469 1.494 Td [(;)-167(A)]TJ/F7 6.9738 Tf 11.9 -1.494 Td [(2)]TJ/F11 9.9626 Tf 4.469 1.494 Td [(;)-167(:::A)]TJ/F7 6.9738 Tf 20.202 -1.494 Td [(9)]TJ/F8 9.9626 Tf 7.791 1.494 Td [(ogli)53(\024)447(s)28(\024)472(ca)-333(pra)28(vilnega)-334(dev)28(etk)28(otnik)55(a.)]TJ +0 g 0 G +/F78 9.9626 Tf -100.846 -15.338 Td [(a)]TJ/F7 6.9738 Tf 5.569 -1.494 Td [(1)]TJ/F8 9.9626 Tf 4.47 1.494 Td [(\051)]TJ +0 g 0 G + [-500(Izra)28(\024)472(cuna)-56(j)-333(k)28(ot)-333(med)-334(daljicama)]TJ/F11 9.9626 Tf 137.014 0 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(1)]TJ/F11 9.9626 Tf 4.469 1.494 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(2)]TJ/F8 9.9626 Tf 7.79 1.494 Td [(in)]TJ/F11 9.9626 Tf 11.624 0 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(2)]TJ/F11 9.9626 Tf 4.469 1.494 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(3)]TJ/F8 9.9626 Tf 4.469 1.494 Td [(.)]TJ -108.827 -25.545 Td [(\006)]TJ/F7 6.9738 Tf 7.196 -1.495 Td [(notranjih)-385(k)31(oto)31(v)]TJ/F8 9.9626 Tf 57.043 1.495 Td [(=)-278(\050)]TJ/F11 9.9626 Tf 14.39 0 Td [(n)]TJ/F7 6.9738 Tf 5.98 -1.495 Td [(=8)]TJ/F8 9.9626 Tf 10.586 1.495 Td [(\051)]TJ/F14 9.9626 Tf 6.088 0 Td [(\000)]TJ/F8 9.9626 Tf 9.962 0 Td [(2\051)]TJ/F14 9.9626 Tf 11.07 0 Td [(\001)]TJ/F8 9.9626 Tf 4.981 0 Td [(180)]TJ/F34 9.9626 Tf 14.944 0 Td [(\260)]TJ/F8 9.9626 Tf 6.088 0 Td [(=)-278(1080)]TJ/F34 9.9626 Tf 30.441 0 Td [(\260)]TJ/F14 9.9626 Tf 6.087 0 Td [(!)]TJ/F11 9.9626 Tf 12.73 0 Td [(\013)]TJ/F8 9.9626 Tf 9.178 0 Td [(=)]TJ 11.711 6.739 Td [(1080)]TJ/F34 9.9626 Tf 19.926 0 Td [(\260)]TJ +ET +q +1 0 0 1 411.608 585.305 cm +[]0 d 0 J 0.398 w 0 0 m 23.245 0 l S +Q +BT +/F8 9.9626 Tf 420.74 575.981 Td [(8)]TJ 18.077 6.834 Td [(=)-278(135)]TJ/F34 9.9626 Tf 25.46 0 Td [(\260)]TJ +0 g 0 G +/F78 9.9626 Tf -372.079 -23.76 Td [(a)]TJ/F7 6.9738 Tf 5.569 -1.494 Td [(2)]TJ/F8 9.9626 Tf 4.47 1.494 Td [(\051)]TJ +0 g 0 G + [-500(Izra)28(\024)472(cuna)-56(j)-333(k)28(ot)-333(med)-334(daljicama)]TJ/F11 9.9626 Tf 137.014 0 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(1)]TJ/F11 9.9626 Tf 4.469 1.494 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(3)]TJ/F8 9.9626 Tf 7.791 1.494 Td [(in)]TJ/F11 9.9626 Tf 11.623 0 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(3)]TJ/F11 9.9626 Tf 4.469 1.494 Td [(A)]TJ/F7 6.9738 Tf 7.472 -1.494 Td [(5)]TJ/F8 9.9626 Tf 4.469 1.494 Td [(.)]TJ -101.355 -25.545 Td [(\006)]TJ/F7 6.9738 Tf 7.196 -1.495 Td [(notranjih)-385(k)31(oto)31(v)]TJ/F8 9.9626 Tf 57.043 1.495 Td [(=)-278(\050)]TJ/F11 9.9626 Tf 14.39 0 Td [(n)]TJ/F7 6.9738 Tf 5.98 -1.495 Td [(=4)]TJ/F8 9.9626 Tf 10.586 1.495 Td [(\051)]TJ/F14 9.9626 Tf 6.088 0 Td [(\000)]TJ/F8 9.9626 Tf 9.962 0 Td [(2\051)]TJ/F14 9.9626 Tf 11.07 0 Td [(\001)]TJ/F8 9.9626 Tf 4.981 0 Td [(180)]TJ/F34 9.9626 Tf 14.944 0 Td [(\260)]TJ/F8 9.9626 Tf 6.088 0 Td [(=)-278(360)]TJ/F34 9.9626 Tf 25.46 0 Td [(\260)]TJ/F14 9.9626 Tf 6.087 0 Td [(!)]TJ/F11 9.9626 Tf 12.73 0 Td [(\013)]TJ/F8 9.9626 Tf 9.178 0 Td [(=)]TJ 11.711 6.739 Td [(360)]TJ/F34 9.9626 Tf 14.944 0 Td [(\260)]TJ +ET +q +1 0 0 1 414.099 536 cm +[]0 d 0 J 0.398 w 0 0 m 18.264 0 l S +Q +BT +/F8 9.9626 Tf 420.74 526.676 Td [(4)]TJ 15.586 6.834 Td [(=)-278(90)]TJ/F34 9.9626 Tf 20.479 0 Td [(\260)]TJ +0 g 0 G +/F78 9.9626 Tf -380.145 -25.067 Td [(b\051)]TJ +0 g 0 G +/F8 9.9626 Tf 16.909 2.518 Td [(\024)]TJ -1.107 -2.518 Td [(Ce)-318(enak)28(okrak)28(em)28(u)-318(trik)28(otniku)]TJ/F11 9.9626 Tf 126.606 0 Td [(AB)-50(C)]TJ/F8 9.9626 Tf 26.525 0 Td [(o)28(\024)472(crtamo)-318(kr)1(o)27(\024)473(z)-1(n)1(ic)-1(o,)-320(pripada)-317(kraku)]TJ/F11 9.9626 Tf 145.353 0 Td [(AC)]TJ/F8 9.9626 Tf 18.468 0 Td [(sredi)53(\024)447(s)28(\024)472(cni)-318(k)28(ot)-317(75)]TJ/F34 9.9626 Tf 67.348 0 Td [(\260)]TJ/F8 9.9626 Tf 3.32 0 Td [(.)-439(Izra)28(\024)472(cuna)-56(j)-317(k)28(ote)]TJ -387.62 -11.955 Td [(tega)-333(trik)27(otn)1(ik)55(a.)]TJ/F11 9.9626 Tf 119.181 -16.535 Td [(\014)]TJ/F8 9.9626 Tf 8.928 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(\013)]TJ/F8 9.9626 Tf 9.177 0 Td [(=)]TJ 11.712 6.74 Td [(75)]TJ/F34 9.9626 Tf 9.963 0 Td [(\260)]TJ +ET +q +1 0 0 1 251.976 482.443 cm +[]0 d 0 J 0.398 w 0 0 m 13.283 0 l S +Q +BT +/F8 9.9626 Tf 256.127 473.119 Td [(2)]TJ 13.095 6.834 Td [(=)-278(37)]TJ/F11 9.9626 Tf 20.478 0 Td [(;)]TJ/F8 9.9626 Tf 2.768 0 Td [(5)]TJ/F34 9.9626 Tf 4.981 0 Td [(\260)]TJ/F14 9.9626 Tf 6.087 0 Td [(!)]TJ/F11 9.9626 Tf 12.73 0 Td [(\015)]TJ/F8 9.9626 Tf 8.479 0 Td [(=)-278(180)]TJ/F34 9.9626 Tf 25.46 0 Td [(\260)]TJ/F14 9.9626 Tf 5.534 0 Td [(\000)]TJ/F8 9.9626 Tf 9.963 0 Td [(2)]TJ/F14 9.9626 Tf 7.195 0 Td [(\001)]TJ/F8 9.9626 Tf 4.981 0 Td [(37)]TJ/F11 9.9626 Tf 9.963 0 Td [(;)]TJ/F8 9.9626 Tf 2.767 0 Td [(5)]TJ/F34 9.9626 Tf 4.982 0 Td [(\260)]TJ/F8 9.9626 Tf 6.087 0 Td [(=)-278(105)]TJ/F34 9.9626 Tf 25.46 0 Td [(\260)]TJ +0 g 0 G +/F78 9.9626 Tf -370.485 -23.507 Td [(5.)]TJ +0 g 0 G +/F8 9.9626 Tf 13.892 0 Td [(Dok)56(a)27(\024)473(z)-1(i)1(,)-334(da)-333(se)-334(v)-333(deltoidu)-333(diagonali)-333(sek)55(ata)-333(p)-28(o)-28(d)-333(pra)28(vim)-333(k)27(otom.)]TJ/F14 9.9626 Tf 112.235 -20.413 Td [(4)]TJ/F11 9.9626 Tf 8.856 0 Td [(AB)-50(D)]TJ/F8 9.9626 Tf 25.437 0 Td [(~)639(=)]TJ/F14 9.9626 Tf 8.579 0 Td [(4)]TJ/F11 9.9626 Tf 11.07 0 Td [(B)-50(C)-72(D)]TJ/F14 9.9626 Tf 27.182 0 Td [(!)]TJ +ET +q +1 0 0 1 276.633 444.236 cm +[]0 d 0 J 0.398 w 0 0 m 86.266 0 l S +Q +BT +/F11 9.9626 Tf 276.633 436.033 Td [(AP)]TJ/F7 6.9738 Tf 13.868 -1.799 Td [(\050prese)31(\024)538(ci)59(\024)511(s)31(\024)538(ce)-385(diag)1(onal\051)]TJ 72.398 -2.241 Td [(\050)]TJ/F10 6.9738 Tf 3.113 0 Td [(v)]TJ/F9 4.9813 Tf 3.985 -1.002 Td [(A)]TJ/F7 6.9738 Tf 5.66 1.002 Td [(\051)]TJ/F8 9.9626 Tf 6.379 4.04 Td [(=)]TJ +ET +q +1 0 0 1 392.552 444.236 cm +[]0 d 0 J 0.398 w 0 0 m 15.613 0 l S +Q +BT +/F11 9.9626 Tf 392.552 436.033 Td [(P)-139(C)]TJ/F7 6.9738 Tf 15.613 -1.799 Td [(\050)]TJ/F10 6.9738 Tf 3.113 0 Td [(v)]TJ/F9 4.9813 Tf 3.985 -1.001 Td [(C)]TJ/F7 6.9738 Tf 5.799 1.001 Td [(\051)]TJ/F14 9.9626 Tf 6.378 1.799 Td [(!)]TJ -273.077 -22.156 Td [(4)]TJ/F11 9.9626 Tf 8.855 0 Td [(AP)-139(D)]TJ/F8 9.9626 Tf 25.161 0 Td [(~)639(=)]TJ/F14 9.9626 Tf 8.579 0 Td [(4)]TJ/F11 9.9626 Tf 11.069 0 Td [(P)-139(C)-71(D)]TJ/F14 9.9626 Tf 26.352 0 Td [(^)]TJ/F11 9.9626 Tf 8.856 0 Td [(P)]TJ/F14 9.9626 Tf 10.547 0 Td [(2)]TJ/F11 9.9626 Tf 9.409 0 Td [(AC)]TJ/F14 9.9626 Tf 17.519 0 Td [(^)]TJ/F28 9.9626 Tf 8.856 0 Td [(])]TJ/F11 9.9626 Tf 7.195 0 Td [(C)-72(P)-138(D)]TJ/F8 9.9626 Tf 26.905 0 Td [(=)]TJ/F28 9.9626 Tf 10.516 0 Td [(])]TJ/F11 9.9626 Tf 7.196 0 Td [(D)-28(P)-139(A)]TJ/F8 9.9626 Tf 26.544 0 Td [(=)]TJ/F28 9.9626 Tf 10.516 0 Td [(])]TJ/F11 9.9626 Tf 7.195 0 Td [(AP)-139(B)]TJ/F8 9.9626 Tf 26.076 0 Td [(=)]TJ/F28 9.9626 Tf 10.516 0 Td [(])]TJ/F11 9.9626 Tf 7.195 0 Td [(B)-50(P)-139(C)]TJ/F14 9.9626 Tf 26.437 0 Td [(!)]TJ/F28 9.9626 Tf -240.811 -17.029 Td [(])]TJ/F11 9.9626 Tf 7.195 0 Td [(C)-72(P)-138(D)]TJ/F8 9.9626 Tf 26.906 0 Td [(=)]TJ/F28 9.9626 Tf 10.516 0 Td [(])]TJ/F11 9.9626 Tf 7.195 0 Td [(D)-28(P)-139(A)]TJ/F8 9.9626 Tf 26.544 0 Td [(=)]TJ/F28 9.9626 Tf 10.516 0 Td [(])]TJ/F11 9.9626 Tf 7.195 0 Td [(AP)-139(B)]TJ/F8 9.9626 Tf 26.076 0 Td [(=)]TJ/F28 9.9626 Tf 10.516 0 Td [(])]TJ/F11 9.9626 Tf 7.195 0 Td [(B)-50(P)-139(C)]TJ/F8 9.9626 Tf 26.437 0 Td [(=)-278(90)]TJ/F34 9.9626 Tf 20.479 0 Td [(\260)]TJ +ET +q +1 0 0 1 45.638 386.894 cm +[]0 d 0 J 0.398 w 0 0 m 504 0 l S +Q +q +1 0 0 1 45.837 374.74 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +0 0 1 0 k 0 0 1 0 K +q +1 0 0 1 46.036 374.74 cm +0 0 45.718 11.955 re f +Q +0 g 0 G +BT +/F8 9.9626 Tf 52.014 378.326 Td [(nadloga)]TJ +ET +q +1 0 0 1 91.953 374.74 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +q +1 0 0 1 94.344 374.74 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +0 0 1 0 k 0 0 1 0 K +q +1 0 0 1 94.543 374.74 cm +0 0 90.62 11.955 re f +Q +0 g 0 G +BT +/F8 9.9626 Tf 137.363 378.326 Td [(1)]TJ +ET +q +1 0 0 1 185.363 374.74 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +0 0 1 0 k 0 0 1 0 K +q +1 0 0 1 185.562 374.74 cm +0 0 90.62 11.955 re f +Q +0 g 0 G +BT +/F8 9.9626 Tf 228.382 378.326 Td [(2)]TJ +ET +q +1 0 0 1 276.382 374.74 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +0 0 1 0 k 0 0 1 0 K +q +1 0 0 1 276.581 374.74 cm +0 0 90.62 11.955 re f +Q +0 g 0 G +BT +/F8 9.9626 Tf 319.401 378.326 Td [(3)]TJ +ET +q +1 0 0 1 367.401 374.74 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +0 0 1 0 k 0 0 1 0 K +q +1 0 0 1 367.6 374.74 cm +0 0 90.62 11.955 re f +Q +0 g 0 G +BT +/F8 9.9626 Tf 410.42 378.326 Td [(4)]TJ +ET +q +1 0 0 1 458.42 374.74 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +0 0 1 0 k 0 0 1 0 K +q +1 0 0 1 458.619 374.74 cm +0 0 90.62 11.955 re f +Q +0 g 0 G +BT +/F8 9.9626 Tf 501.438 378.326 Td [(5)]TJ +ET +q +1 0 0 1 549.439 374.74 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +q +1 0 0 1 45.638 374.54 cm +[]0 d 0 J 0.398 w 0 0 m 504 0 l S +Q +q +1 0 0 1 45.837 362.386 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +BT +/F78 9.9626 Tf 55.767 365.973 Td [(to)32(\024)543(ck)32(e)]TJ +ET +q +1 0 0 1 91.953 362.386 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +q +1 0 0 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362.386 cm +[]0 d 0 J 0.398 w 0 0 m 0 11.955 l S +Q +q +1 0 0 1 45.638 362.187 cm +[]0 d 0 J 0.398 w 0 0 m 504 0 l S +Q +0 g 0 G +0 g 0 G +BT +/F8 9.9626 Tf 229.553 345.522 Td [(Re)53(\024)447(siti)-333(je)-334(treba)]TJ/F78 9.9626 Tf 65.573 2.408 Td [(\024)]TJ -0.318 -2.408 Td [(STIRI)]TJ/F8 9.9626 Tf 34.938 0 Td [(nadloge.)]TJ -101.017 -11.955 Td [(50%)-278(=)-278(13)-333(to)28(\024)472(ck,)-333(100%)-278(=)-278(26)-333(to)28(\024)472(ck)]TJ/F71 14.3462 Tf -183.091 -32.687 Td [(2)-1125(Zaklju)31(\024)531(cek)]TJ/F8 9.9626 Tf 0 -21.821 Td [(T)83(a)-375(dokumen)28(t)-376(je)-376(infor)1(m)-1(ati)1(vne)-376(nara)28(v)28(e)-376(in)-376(se)-375(lahk)28(o)-323(\024)447(se)-376(spreminja.)-571(Na)-55(jno)27(v)28(ej)53(\024)447(sa)-375(razli)27(\024)473(cica,)-387(torej)-375(PDFji)-376(in)-375(L)]TJ/F7 6.9738 Tf 441.285 2.043 Td [(A)]TJ/F8 9.9626 Tf 4.386 -2.043 Td [(T)]TJ 5.535 -2.145 Td [(E)]TJ 5.534 2.145 Td [(X)]TJ/F7 6.9738 Tf 7.472 3.616 Td [(1)]TJ/F8 9.9626 Tf 8.212 -3.616 Td 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{\large \@date}% + \end{center}% + \par + \vskip 1.5em} +%opening +\newcommand{\snovdn}{Preverjanje znanja geometrije } +\newcommand{\predmdn}{mat} +\newcommand{\predmkaj}{domace\_naloge} +\newcommand{\stevilkadn}{19} +\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}} +} +% \renewcommand\abstractname{Povzetek} +% \date{17. november 2020} +% \renewcommand\contentsname{Kazalo vsebine} +% \renewcommand\figurename{Slika} +% \renewcommand\abstractname{Povzetek} +\newcommand{\iic}{I\textsuperscript{2}C } +% \patchcmd{\thebibliography}{\section*{\refname}}{}{}{} +\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{$#2$}% +\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 domačo nalogo, ki zajema snov \textit{\snovdn}pri matematiki, in njene rešitve. +\end{abstract} +%\tableofcontents +\section{Učni list \textit{\snovdn}} +\begin{enumerate}[label=\textbf{\arabic*.}] + \item V enakokrakem trikotniku je zunanji kot ob osnovnici za \ang{24} manjši od zunanjega kota ob vrhu. + \begin{enumerate}[label=\textbf{\xslalph*)}] + \item Izračunaj notranje kote tega trikotnika. + $$\ang{360}=2(\gamma'-\ang{24})+\gamma' \rightarrow \gamma'=\ang{104} + \rightarrow \gamma=\ang{76}\wedge\alpha=\ang{52} \wedge \beta=\ang{52}$$ + \item Izračunaj kot med simetralama obeh zunanjih kotov ob osnovnici tega trikotnika. + $$\ang{180}-\ang{128}=\ang{52}$$ + \item Izračunaj kot med višino na krak in višino na osnovnico tega trikotnika. + $$180-(\ang{180}-\ang{52}-\ang{90})=\ang{142}\rightarrow\ang{180}-\ang{142}=\underline{\underline{\ang{38}}}$$ + \end{enumerate} + \item + \begin{enumerate}[label=\textbf{\xslalph*)}] + \item Načrtaj trikotnik s podatki: $a=\cm{5}, t_c=\cm{4,5}, v_c=\cm{4}$. + \begin{center} + \begin{tikzpicture} + \tkzDefPoint(0,0){C} \tkzDefPoint(0,-4){V} \tkzDefPoint(0,-5){aH} + \tkzDefPoint(0,-4.5){tH} + \tkzCompass(C,V) \tkzLabelLine[below left](C,V){$v_c$} + \tkzDefMidPoint(C,V) \tkzGetPoint{M}\tkzCompass(C,M)\tkzCompass(V,M) + \tkzInterLC(C,V)(V,M) \tkzGetPoints{MAGAIN}{MX} \tkzCompass(V,MX) + \tkzDrawLine(C,MX) \tkzInterCC(M,MX)(MX,M) \tkzGetPoints{c}{d} + \tkzCompass(M,c)\tkzCompass(MX,c) \tkzCompass(M,d) \tkzCompass(MX,d) + \tkzInterLC(c,d)(C,aH) \tkzGetPoints{B}{BX} \tkzCompass(C,B) + \tkzDrawLine(C,B) \tkzLabelLine[below left](C,B){$a$} + \tkzInterLC(c,d)(C,tH) \tkzGetPoints{T}{TX} \tkzCompass(C,T) + \tkzDrawLine[red](C,T) \tkzLabelLine[below left, red](C,T){$t_c$} + \tkzDrawLine[blue](C,TX) \tkzLabelLine[left, blue](C,TX){$t_c$} + \tkzInterLC(c,d)(T,B) \tkzGetPoints{AX}{A} \tkzCompass(T,A) + \tkzDrawLine[red](A,C) \tkzLabelLine[below left, red](A,C){$b$} + \tkzInterLC(c,d)(TX,B) \tkzGetPoints{AX2}{A2} \tkzCompass(TX,A2) + \tkzDrawLine[blue](A2,C) \tkzLabelLine[below, blue](A2,C){$b'$} + \tkzLabelLine[below left, red](A,B){$c$} \tkzDrawLine(c,A2) + \tkzLabelLine[below left, blue](A2,B){$c$} + \tkzCompass[blue](C,TX) \tkzLabelPoint[blue](A2){$A$} + \tkzDrawPolygon[fill=blue!30, opacity=0.30](A2,B,C) + \tkzDrawPolygon[fill=red!30, opacity=0.30](A,B,C) + \tkzDrawPoints(C,B) \tkzLabelPoints[below left](C,B) + \tkzDrawPoints[blue](A2) \tkzDrawPoints[red](A) + \tkzLabelPoints[red, below left](A) + \end{tikzpicture} + \end{center} + \begin{center} + Obstajata \color{red}dve \color{blue}rešitvi\color{black}. + \end{center} + \item Načrtaj romb s podatki: $e+f=\cm{16}, \alpha=\ang{60}$. + \begin{center} + \begin{figure}[H] + \hspace*{-2cm} + \begin{tikzpicture} + \tkzDefPoint(0,0){O} \tkzDefPoint(16,0){C} + \tkzDrawLine(O,C) \tkzLabelLine[below](O,C){$\cm{16}$} + \tkzInterCC(O,C)(C,O) \tkzGetPoints{6}{7} + \tkzCompass(O,6) \tkzCompass(O,7) \tkzCompass(C,6) \tkzCompass(C,7) + \tkzDefMidPoint(6,C) \tkzGetPoint{3}\tkzCompass(6,3)\tkzCompass(C,3) + \tkzDrawLine(O,3) \tkzInterLC(O,C)(O,3) \tkzGetPoints{USELESS}{4} + \tkzCompass(O,4) \tkzInterCC(3,4)(4,3) \tkzGetPoints{USELESS}{1} + \tkzCompass(3,1)\tkzCompass(4,1)\tkzDefMidPoint(O,6) \tkzGetPoint{2} + \tkzCompass(O,2)\tkzCompass(6,2)\tkzDrawLine(C,2) + \tkzInterLL(O,1)(C,2) \tkzGetPoint{D} \tkzDrawLine(O,D) + \tkzInterLC(O,C)(D,C) \tkzGetPoints{USELESS}{A} \tkzDrawLine(A,D) + \tkzCompass(D,A) \tkzInterCC(A,D)(C,D) \tkzGetPoints{USELESS}{B} + \tkzCompass(A,B) \tkzCompass(C,B) \tkzDrawLine(A,B)\tkzDrawLine(C,B) + \tkzDrawPolygon[fill=red!30, opacity=.3](A,B,C,D) + \tkzLabelLine[below left](A,B){$a$} + \tkzLabelLine[below](C,B){$a$} + \tkzLabelLine[below left](C,D){$a$} + \tkzLabelLine[left](A,D){$a$} + \tkzLabelPoints[below left](O,C,D,A,B) \tkzDrawPoints(O,C,D,A,B) + \end{tikzpicture} + \end{figure} + \end{center} + \end{enumerate} + \item + \begin{enumerate}[label=\textbf{\xslalph*)}] + \item Dokaži, da je paralelogram, v katerem sta diagonali enako dolgi, pravokotnik. + $$ + AC=BD\wedge BC=AD\rightarrow\bigtriangleup ABC\Tilde=\bigtriangleup BAD\rightarrow\measuredangle ABC=\measuredangle BAD\wedge\measuredangle ABC+\measuredangle BAD=\ang{180}\rightarrow + $$$$ + 2\cdot\measuredangle ABC=\ang{180}\rightarrow\measuredangle ABC=\ang{180} + $$ + \item Enakokraki trapez z osnovnicama $a=\cm{18}$ in $c=\cm{8}$ je tangenten. Izračunaj dolžino višine na osnovnico. + $$ + b=d\wedge\alpha=\beta\rightarrow\frac{a+c}{2}=b=\cm{13}\rightarrow + v_c=\sqrt{\cm{13}^2-\left(\frac{a-c}{2}\right)^2}= + $$$$ + \sqrt{\cm{13}^2-\cm{5}^2}=\sqrt{\cm{144}^2}=\cm{12} + $$ + \end{enumerate} + \item + \begin{enumerate}[label=\textbf{\xslalph*)}] + \item Naj bodo $A_1, A_2, ... A_9$ oglišča pravilnega devetkotnika. + \begin{enumerate}[label=\textbf{a_{\arabic*})}] + \item Izračunaj kot med daljicama $A_{1}A_{2}$ in $A_{2}A_{3}$. + $$\Sigma_\text{notranjih kotov}= + \left(n_{=8}\right)-2)\cdot\ang{180}=\ang{1080} + \rightarrow\alpha=\frac{\ang{1080}}{8}=\ang{135}$$ + \item Izračunaj kot med daljicama $A_{1}A_{3}$ in $A_{3}A_{5}$. + $$\Sigma_\text{notranjih kotov}= + \left(n_{=4}\right)-2)\cdot\ang{180}=\ang{360} + \rightarrow\alpha=\frac{\ang{360}}{4}=\ang{90}$$ + \end{enumerate} + \item Če enakokrakemu trikotniku $ABC$ očrtamo krožnico, pripada kraku $AC$ središčni kot \ang{75}. Izračunaj kote tega trikotnika. + $$\beta=\alpha=\frac{\ang{75}}{2}=\ang{37,5}\rightarrow\gamma=\ang{180}-2\cdot\ang{37,5}=\ang{105}$$ + \end{enumerate} + \item Dokaži, da se v deltoidu diagonali sekata pod pravim kotom. + $$ + \bigtriangleup ABD\Tilde=\bigtriangleup BCD\rightarrow + \overline{AP_{\left(\text{presečišče diagonal}\right)}}_{\left(v_A\right)} + =\overline{PC}_{\left(v_C\right)}\rightarrow + $$ + $$ + \bigtriangleup APD\Tilde=\bigtriangleup PCD\wedge P\in AC\wedge + \measuredangle CPD=\measuredangle DPA=\measuredangle APB=\measuredangle BPC + \rightarrow + $$ + $$ + \measuredangle CPD=\measuredangle DPA=\measuredangle APB=\measuredangle BPC + = \ang{90} + $$ +\end{enumerate} +\begin{tabularx}{\textwidth}{|c||*{6}{Y|}} + \hline + \cellcolor{yellow}nadloga & \cellcolor{yellow}1 & \cellcolor{yellow}2 & \cellcolor{yellow}3 & \cellcolor{yellow}4 & \cellcolor{yellow}5 \\ + \hline + \textbf{točke} & $2+2+2=\mathbf{6}$ & $3+3=\mathbf{6}$ & $3+3=\mathbf{6}$ & $(1,5+1,5)+3=\mathbf{6}$ & $\mathbf{8}$ \\ + \hline +\end{tabularx} +\begin{center} + Rešiti je treba \textbf{ŠTIRI} nadloge. + + $50 \% = 13$ točk, $100 \% = 26$ točk +\end{center} +\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{f5ff} skript Antona Luke Šijanca, \texttt{TeXLive 2020} in operacijski sistem \texttt{DebIan/GNU/Linux}. Za urejanje priporočam urejevalnik besedil \texttt{vim} in pregledovalnik PDF dokumentov \texttt{evince}.} +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 +\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/mat/domace_naloge/19/dokument.toc b/mat/domace_naloge/19/dokument.toc new file mode 100644 index 0000000..2791e3e --- /dev/null +++ b/mat/domace_naloge/19/dokument.toc @@ -0,0 +1,4 @@ +\babel@toc {slovene}{} +\babel@toc {slovene}{} +\contentsline {section}{\numberline {1}Učni list \textit {Preverjanje znanja geometrije }}{1}{section.1}% +\contentsline {section}{\numberline {2}Zaključek}{2}{section.2}% diff --git a/mat/domace_naloge/19/stderr.log b/mat/domace_naloge/19/stderr.log new file mode 100644 index 0000000..321b6ed --- /dev/null +++ b/mat/domace_naloge/19/stderr.log @@ -0,0 +1 @@ +<</Type/XRef/Filter/FlateDecode/ID[<464E7627457765DB353C656541C9CDDD><464E7627457765DB353C656541C9CDDD>]/Index[ 0 181]/Info 179 0 R/Length 471/Root 178 0 R/Size 181/W[ 1 3 1]>> diff --git 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