1.Link zadatka Vrednost izraza [inline]\left(x^2+x\sqrt2+1\right)\left(x^2-x\sqrt2+1\right)[/inline] za [inline]x=\sqrt[4]2[/inline] jednaka je:
[inline]\text{A)}[/inline] [inline]3+2\sqrt2[/inline] [inline]\text{B)}[/inline] [inline]3-2\sqrt2[/inline] [inline]\text{C)}[/inline] [inline]1[/inline] [inline]\text{D)}[/inline] [inline]2[/inline] [inline]\text{E)}[/inline] [inline]3[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]3+2\sqrt2[/inline] [inline]\text{B)}[/inline] [inline]3-2\sqrt2[/inline] [inline]\text{C)}[/inline] [inline]1[/inline] [inline]\text{D)}[/inline] [inline]2[/inline] [inline]\enclose{box}{\text{E)}}[/inline] [inline]3[/inline] [inline]\text{N)}[/inline] Ne znam
2.Link zadatka Ako je [inline]\log_32=p[/inline], onda je [inline]\log_372[/inline] jednak:
[inline]\text{A)}[/inline] [inline]2p+3[/inline] [inline]\text{B)}[/inline] [inline]3p+2[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle\frac{1}{2p+3}[/inline] [inline]\text{D)}[/inline] [inline]\displaystyle\frac{1}{3p+2}[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle\frac{p}{3p+2}[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]2p+3[/inline] [inline]\enclose{box}{\text{B)}}[/inline] [inline]3p+2[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle\frac{1}{2p+3}[/inline] [inline]\text{D)}[/inline] [inline]\displaystyle\frac{1}{3p+2}[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle\frac{p}{3p+2}[/inline] [inline]\text{N)}[/inline] Ne znam
Obrađeno u temi: LINK
3.Link zadatka Rešenje nejednačine [inline]\displaystyle\frac{1}{x}\lt5[/inline] je skup oblika:
[inline]\text{A)}[/inline] [inline](a,+\infty)[/inline] [inline]\text{B)}[/inline] [inline][a,+\infty)[/inline] [inline]\text{C)}[/inline] [inline](-\infty,a)\cup[b,+\infty)[/inline] [inline]\text{D)}[/inline] [inline](a,b)[/inline] [inline]\text{E)}[/inline] [inline][a,b)[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline](a,+\infty)[/inline] [inline]\text{B)}[/inline] [inline][a,+\infty)[/inline] [inline]\enclose{box}{\text{C)}}[/inline] [inline](-\infty,a)\cup[b,+\infty)[/inline] [inline]\text{D)}[/inline] [inline](a,b)[/inline] [inline]\text{E)}[/inline] [inline][a,b)[/inline] [inline]\text{N)}[/inline] Ne znam
4.Link zadatka Koliko različitih četvorocifrenih brojeva može da se napiše koristeći cifre [inline]2,0,1,3[/inline] pri čemu se cifre ne ponavljaju?
[inline]\text{A)}[/inline] [inline]6[/inline] [inline]\text{B)}[/inline] [inline]12[/inline] [inline]\text{C)}[/inline] [inline]18[/inline] [inline]\text{D)}[/inline] [inline]24[/inline] [inline]\text{E)}[/inline] [inline]48[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]6[/inline] [inline]\text{B)}[/inline] [inline]12[/inline] [inline]\enclose{box}{\text{C)}}[/inline] [inline]18[/inline] [inline]\text{D)}[/inline] [inline]24[/inline] [inline]\text{E)}[/inline] [inline]48[/inline] [inline]\text{N)}[/inline] Ne znam
5.Link zadatka U krug poluprečnika [inline]r[/inline] upisan je pravilan osmougao. Njegova površina jednaka je:
[inline]\text{A)}[/inline] [inline]4r^2\sqrt2[/inline] [inline]\text{B)}[/inline] [inline]2r^2\sqrt2[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle\frac{4}{3}r^2\sqrt2[/inline] [inline]\text{D)}[/inline] [inline]4r\sqrt2[/inline] [inline]\text{E)}[/inline] [inline]2\sqrt3r^2[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]4r^2\sqrt2[/inline] [inline]\enclose{box}{\text{B)}}[/inline] [inline]2r^2\sqrt2[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle\frac{4}{3}r^2\sqrt2[/inline] [inline]\text{D)}[/inline] [inline]4r\sqrt2[/inline] [inline]\text{E)}[/inline] [inline]2\sqrt3r^2[/inline] [inline]\text{N)}[/inline] Ne znam
Obrađeno u temi: LINK
6.Link zadatka Ako je [inline]\sin11^\circ=a[/inline], onda je [inline]\sin2013^\circ[/inline] jednak:
[inline]\text{A)}[/inline] [inline]3a-4a^3[/inline] [inline]\text{B)}[/inline] [inline]3a[/inline] [inline]\text{C)}[/inline] [inline]4a^3[/inline] [inline]\text{D)}[/inline] [inline]3a^3-4a[/inline] [inline]\text{E)}[/inline] [inline]4a^3-3a[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]3a-4a^3[/inline] [inline]\text{B)}[/inline] [inline]3a[/inline] [inline]\text{C)}[/inline] [inline]4a^3[/inline] [inline]\text{D)}[/inline] [inline]3a^3-4a[/inline] [inline]\enclose{box}{\text{E)}}[/inline] [inline]4a^3-3a[/inline] [inline]\text{N)}[/inline] Ne znam
Obrađeno u temama: LINK1 LINK2
7.Link zadatka Tačke [inline]A(1,1)[/inline], [inline]B(3,4)[/inline], [inline]C(4,6)[/inline] i [inline]D(a,b)[/inline] su redom temena paralelograma [inline]ABCD[/inline]. Tada je [inline]a-b[/inline] jednako:
[inline]\text{A)}[/inline] [inline]1[/inline] [inline]\text{B)}[/inline] [inline]2[/inline] [inline]\text{C)}[/inline] [inline]-1[/inline] [inline]\text{D)}[/inline] [inline]-2[/inline] [inline]\text{E)}[/inline] [inline]0[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]1[/inline] [inline]\text{B)}[/inline] [inline]2[/inline] [inline]\enclose{box}{\text{C)}}[/inline] [inline]-1[/inline] [inline]\text{D)}[/inline] [inline]-2[/inline] [inline]\text{E)}[/inline] [inline]0[/inline] [inline]\text{N)}[/inline] Ne znam
Obrađeno u temi: LINK
8.Link zadatka Broj celobrojnih rešenja nejednačine [inline]\sqrt{x^2-1}\lt x+1[/inline] koja pripadaju segmentu [inline][-100,100][/inline] jednak je:
[inline]\text{A)}[/inline] [inline]99[/inline] [inline]\text{B)}[/inline] [inline]100[/inline] [inline]\text{C)}[/inline] [inline]101[/inline] [inline]\text{D)}[/inline] [inline]200[/inline] [inline]\text{E)}[/inline] [inline]201[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]99[/inline] [inline]\enclose{box}{\text{B)}}[/inline] [inline]100[/inline] [inline]\text{C)}[/inline] [inline]101[/inline] [inline]\text{D)}[/inline] [inline]200[/inline] [inline]\text{E)}[/inline] [inline]201[/inline] [inline]\text{N)}[/inline] Ne znam
Obrađeno u temi: LINK
9.Link zadatka Broj kompleksnih brojeva [inline]z=x+iy[/inline] ([inline]x,y\in\mathbb{R}[/inline]), za koje važi jednakost [inline]|z+3|-\overline z=2-i[/inline], jednak je:
[inline]\text{A)}[/inline] [inline]3[/inline] [inline]\text{B)}[/inline] [inline]2[/inline] [inline]\text{C)}[/inline] [inline]4[/inline] [inline]\text{D)}[/inline] [inline]1[/inline] [inline]\text{E)}[/inline] [inline]0[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]3[/inline] [inline]\text{B)}[/inline] [inline]2[/inline] [inline]\text{C)}[/inline] [inline]4[/inline] [inline]\text{D)}[/inline] [inline]1[/inline] [inline]\enclose{box}{\text{E)}}[/inline] [inline]0[/inline] [inline]\text{N)}[/inline] Ne znam
Obrađeno u temi: LINK
10.Link zadatka Prava [inline]x+y=2013[/inline] je tangenta parabole [inline]y=x^2+19x+m[/inline]. Tada je [inline]m[/inline] jednako:
[inline]\text{A)}[/inline] [inline]2003[/inline] [inline]\text{B)}[/inline] [inline]2103[/inline] [inline]\text{C)}[/inline] [inline]2013[/inline] [inline]\text{D)}[/inline] [inline]2113[/inline] [inline]\text{E)}[/inline] [inline]2130[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]2003[/inline] [inline]\text{B)}[/inline] [inline]2103[/inline] [inline]\text{C)}[/inline] [inline]2013[/inline] [inline]\enclose{box}{\text{D)}}[/inline] [inline]2113[/inline] [inline]\text{E)}[/inline] [inline]2130[/inline] [inline]\text{N)}[/inline] Ne znam
Obrađeno u temi: LINK
11.Link zadatka Zbir prvih [inline]50[/inline] neparnih prirodnih brojeva je:
[inline]\text{A)}[/inline] [inline]1275[/inline] [inline]\text{B)}[/inline] [inline]1500[/inline] [inline]\text{C)}[/inline] [inline]2500[/inline] [inline]\text{D)}[/inline] [inline]2550[/inline] [inline]\text{E)}[/inline] [inline]2750[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]1275[/inline] [inline]\text{B)}[/inline] [inline]1500[/inline] [inline]\enclose{box}{\text{C)}}[/inline] [inline]2500[/inline] [inline]\text{D)}[/inline] [inline]2550[/inline] [inline]\text{E)}[/inline] [inline]2750[/inline] [inline]\text{N)}[/inline] Ne znam
12.Link zadatka Ako polinom [inline]P(x)=x^4+ax^3+x^2+b[/inline] pri deljenju polinomom [inline]Q(x)=x^2+2x[/inline] daje ostatak [inline]R(x)=-2x+1[/inline], onda je [inline]a+b[/inline] jednako:
[inline]\text{A)}[/inline] [inline]3[/inline] [inline]\text{B)}[/inline] [inline]2[/inline] [inline]\text{C)}[/inline] [inline]1[/inline] [inline]\text{D)}[/inline] [inline]-1[/inline] [inline]\text{E)}[/inline] [inline]-2[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\enclose{box}{\text{A)}}[/inline] [inline]3[/inline] [inline]\text{B)}[/inline] [inline]2[/inline] [inline]\text{C)}[/inline] [inline]1[/inline] [inline]\text{D)}[/inline] [inline]-1[/inline] [inline]\text{E)}[/inline] [inline]-2[/inline] [inline]\text{N)}[/inline] Ne znam
Obrađeno u temi: LINK
13.Link zadatka Ako je [inline]i^2=-1[/inline], onda je [inline]\displaystyle\frac{(1-i)^{11}}{(1+i)^5}[/inline] jednako:
[inline]\text{A)}[/inline] [inline]4[/inline] [inline]\text{B)}[/inline] [inline]4i[/inline] [inline]\text{C)}[/inline] [inline]-8i[/inline] [inline]\text{D)}[/inline] [inline]8i[/inline] [inline]\text{E)}[/inline] [inline]8[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]4[/inline] [inline]\text{B)}[/inline] [inline]4i[/inline] [inline]\text{C)}[/inline] [inline]-8i[/inline] [inline]\text{D)}[/inline] [inline]8i[/inline] [inline]\enclose{box}{\text{E)}}[/inline] [inline]8[/inline] [inline]\text{N)}[/inline] Ne znam
Obrađeno u temi: LINK
14.Link zadatka Ako je [inline]\displaystyle f\left(\frac{x-1}{x+1}\right)=x[/inline], onda je [inline]f\bigl(f(1/2)\bigr)[/inline] jednako:
[inline]\text{A)}[/inline] [inline]2[/inline] [inline]\text{B)}[/inline] [inline]1[/inline] [inline]\text{C)}[/inline] [inline]0[/inline] [inline]\text{D)}[/inline] [inline]-1[/inline] [inline]\text{E)}[/inline] [inline]-2[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]2[/inline] [inline]\text{B)}[/inline] [inline]1[/inline] [inline]\text{C)}[/inline] [inline]0[/inline] [inline]\text{D)}[/inline] [inline]-1[/inline] [inline]\enclose{box}{\text{E)}}[/inline] [inline]-2[/inline] [inline]\text{N)}[/inline] Ne znam
Obrađeno u temi: LINK
15.Link zadatka Ako je [inline](a_n)[/inline] rastući geometrijski niz, takav da je proizvod prva tri člana [inline]1000[/inline], a njihov zbir [inline]35[/inline], onda je [inline]a_6[/inline] jednako:
[inline]\text{A)}[/inline] [inline]160[/inline] [inline]\text{B)}[/inline] [inline]80[/inline] [inline]\text{C)}[/inline] [inline]180[/inline] [inline]\text{D)}[/inline] [inline]80[/inline] [inline]\text{E)}[/inline] [inline]100[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\enclose{box}{\text{A)}}[/inline] [inline]160[/inline] [inline]\text{B)}[/inline] [inline]80[/inline] [inline]\text{C)}[/inline] [inline]180[/inline] [inline]\text{D)}[/inline] [inline]80[/inline] [inline]\text{E)}[/inline] [inline]100[/inline] [inline]\text{N)}[/inline] Ne znam
16.Link zadatka U loptu poluprečnika [inline]R[/inline] upisan je valjak čija je visina jednaka prečniku osnove. Zapremina valjka jednaka je:
[inline]\text{A)}[/inline] [inline]\displaystyle\pi R^3\frac{\sqrt2}{2}[/inline] [inline]\text{B)}[/inline] [inline]\pi R^3\sqrt2[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle\pi R^2\frac{\sqrt2}{2}[/inline] [inline]\text{D)}[/inline] [inline]\pi R^2\sqrt2[/inline] [inline]\text{E)}[/inline] [inline]2\pi R^3[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\enclose{box}{\text{A)}}[/inline] [inline]\displaystyle\pi R^3\frac{\sqrt2}{2}[/inline] [inline]\text{B)}[/inline] [inline]\pi R^3\sqrt2[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle\pi R^2\frac{\sqrt2}{2}[/inline] [inline]\text{D)}[/inline] [inline]\pi R^2\sqrt2[/inline] [inline]\text{E)}[/inline] [inline]2\pi R^3[/inline] [inline]\text{N)}[/inline] Ne znam
Obrađeno u temi: LINK
17.Link zadatka Broj parova prirodnih brojeva [inline](x,y)[/inline] koji su rešenja jednačine [inline]4^x-25^y=39[/inline] je:
[inline]\text{A)}[/inline] [inline]0[/inline] [inline]\text{B)}[/inline] [inline]1[/inline] [inline]\text{C)}[/inline] [inline]2[/inline] [inline]\text{D)}[/inline] [inline]3[/inline] [inline]\text{E)}[/inline] [inline]4[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]0[/inline] [inline]\enclose{box}{\text{B)}}[/inline] [inline]1[/inline] [inline]\text{C)}[/inline] [inline]2[/inline] [inline]\text{D)}[/inline] [inline]3[/inline] [inline]\text{E)}[/inline] [inline]4[/inline] [inline]\text{N)}[/inline] Ne znam
Obrađeno u temi: LINK
18.Link zadatka Skup svih rešenja nejednačine [inline]9^{|x-1|}-9^{|x-2|}\lt8\cdot3^{|x-1|+|x-2|-1}[/inline] je:
[inline]\text{A)}[/inline] [inline]\displaystyle\left(-\infty,\frac{3}{2}\right)[/inline] [inline]\text{B)}[/inline] [inline]\displaystyle\left(\frac{3}{2},2\right)[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle(-\infty,0]\cup\left(\frac{3}{2},2\right)[/inline] [inline]\text{D)}[/inline] [inline](-\infty,2)[/inline] [inline]\text{E)}[/inline] [inline](-\infty,+\infty)[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline]\displaystyle\left(-\infty,\frac{3}{2}\right)[/inline] [inline]\text{B)}[/inline] [inline]\displaystyle\left(\frac{3}{2},2\right)[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle(-\infty,0]\cup\left(\frac{3}{2},2\right)[/inline] [inline]\enclose{box}{\text{D)}}[/inline] [inline](-\infty,2)[/inline] [inline]\text{E)}[/inline] [inline](-\infty,+\infty)[/inline] [inline]\text{N)}[/inline] Ne znam
Obrađeno u temi: LINK
19.Link zadatka Rešenje nejednačine [inline]\sin x>|\cos2x|[/inline] na intervalu [inline](0,2\pi)[/inline] je podskup oblika:
[inline]\text{A)}[/inline] [inline](a,b)\cup(b,c)\cup(d,e)[/inline] [inline]\text{B)}[/inline] [inline](a,b)[/inline] [inline]\text{C)}[/inline] [inline][a,b][/inline] [inline]\text{D)}[/inline] [inline][a,b)[/inline] [inline]\text{E)}[/inline] [inline](a,b)\cup(b,c)[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline](a,b)\cup(b,c)\cup(d,e)[/inline] [inline]\text{B)}[/inline] [inline](a,b)[/inline] [inline]\text{C)}[/inline] [inline][a,b][/inline] [inline]\text{D)}[/inline] [inline][a,b)[/inline] [inline]\enclose{box}{\text{E)}}[/inline] [inline](a,b)\cup(b,c)[/inline] [inline]\text{N)}[/inline] Ne znam
Obrađeno u temi: LINK
20.Link zadatka Skup svih rešenja nejednačine [inline]\log_{|x|}\left(5x^2-1\right)>2[/inline] je:
[inline]\text{A)}[/inline] [inline](-\infty,-1)\cup(1,+\infty)[/inline] [inline]\text{B)}[/inline] [inline]\displaystyle\left(\frac{1}{\sqrt5},\frac{1}{2}\right)[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle(-\infty,-1)\cup\left(-\frac{1}{2},-\frac{1}{\sqrt5}\right)\cup\left(\frac{1}{\sqrt5},\frac{1}{2}\right)\cup(1,+\infty)[/inline] [inline]\text{D)}[/inline] [inline]\displaystyle\left(-\frac{1}{2},0\right)\cup\left(0,\frac{1}{2}\right)\cup(1,+\infty)[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle(-\infty,-1)\cup\left(-\frac{1}{\sqrt5},0\right)\cup\left(0,\frac{1}{\sqrt5}\right)[/inline] [inline]\text{N)}[/inline] Ne znam[inline]\text{A)}[/inline] [inline](-\infty,-1)\cup(1,+\infty)[/inline] [inline]\text{B)}[/inline] [inline]\displaystyle\left(\frac{1}{\sqrt5},\frac{1}{2}\right)[/inline] [inline]\enclose{box}{\text{C)}}[/inline] [inline]\displaystyle(-\infty,-1)\cup\left(-\frac{1}{2},-\frac{1}{\sqrt5}\right)\cup\left(\frac{1}{\sqrt5},\frac{1}{2}\right)\cup(1,+\infty)[/inline] [inline]\text{D)}[/inline] [inline]\displaystyle\left(-\frac{1}{2},0\right)\cup\left(0,\frac{1}{2}\right)\cup(1,+\infty)[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle(-\infty,-1)\cup\left(-\frac{1}{\sqrt5},0\right)\cup\left(0,\frac{1}{\sqrt5}\right)[/inline] [inline]\text{N)}[/inline] Ne znam
Obrađeno u temi: LINK
Izvor: LINK
Napomena: Ukoliko vam treba pomoć oko rešavanja nekog od zadataka koji dosad nije obrađivan ni na jednoj temi, slobodno zatražite pomoć na forumu „Matemanija“, naravno uz poštovanje forumskih pravila.