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Jednadžbe s apsolutnom vrijednosti

Authored by Marina Ninkovic

Mathematics

9th - 12th Grade

Used 3+ times

Jednadžbe s apsolutnom vrijednosti
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8 questions

Show all answers

1.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Izraz  \left|a-b\right|  predstavlja  ___________  točaka  T(a) i T(b)T\left(a\right)\ i\ T\left(b\right)  na brojevnom pravcu.

udaljenost

razliku

apsolutnu vrijednost

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Neka je  x∈R. x\in R.\   Izraz ∣x−2∣=5\left|x-2\right|=5  predstavlja skup svih točkaka  T(x)T\left(x\right)  čija udaljenost do točke

 T(−2) na brojevnom pravcu je 5T\left(-2\right)\ na\ brojevnom\ pravcu\ je\ 5  

 T(2) na brojevnom pravcu je 5T\left(2\right)\ na\ brojevnom\ pravcu\ je\ 5  

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Zbroj rješenja jednadžbe ∣x∣=5\left|x\right|=5  je


0

5

-5

-25

4.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Neka je  a∈R.a\in R.    Najmanji broj rješenja jednadžbe   ∣x∣=a\left|x\right|=a  je


0 

1 

2

5.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Za proizvoljne   x,y∈Rx,y\in R  vrijede svojstva:

 ∣x∣≥0\left|x\right|\ge0  

 ∣x∣+∣y∣=∣x+y∣\left|x\right|+\left|y\right|=\left|x+y\right|  

 ∣x∣⋅∣y∣=∣x⋅y∣\left|x\right|\cdot\left|y\right|=\left|x\cdot y\right|  

 ∣x−y∣≥0\left|x-y\right|\ge0  

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Na brojevnom pravcu prikazanom na slici prikazana su rješenja jednadžbe:

∣x+2∣=6\left|x+2\right|=6

∣x−4∣=2\left|x-4\right|=2

∣x∣=6\left|x\right|=6

∣x−2∣=4\left|x-2\right|=4

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Skup svih rješenja jednadžbe ∣2x−4∣=∣4−2x∣\left|2x-4\right|=\left|4-2x\right|  je 


prazan skup

 RR  

 <−∞,2><-\infty,2>  

 x=2x=2  

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