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Primjer inicijalnog testa kakvog će te pisati na početku ... - MIM-Sraga

Primjer inicijalnog testa kakvog će te pisati na početku ... - MIM-Sraga

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ješenja<br />

Testovi ma<strong>te</strong>matika 7<br />

6. Odredi racio<strong>na</strong>lne brojeve x i y tako da vrijedi<br />

⎛3 − x ⎞ ⎛ 3y<br />

1<br />

2, y+2 4 x,<br />

+ ⎞<br />

⎜ + ⎟ = ⎜ ⎟<br />

⎝ 2 ⎠ ⎝ 4<br />

⎠<br />

2 boda<br />

Rj.<br />

x<br />

1<br />

= x2<br />

y1 = y2<br />

3− x + 2 = 4x<br />

⋅ 2<br />

2<br />

3− x+ 4 = 8x<br />

−x− 8x<br />

= −4−3<br />

( )<br />

− 9x<br />

= −7 : −9<br />

x<br />

=<br />

7<br />

9<br />

3y<br />

+ 1<br />

y + 2 = ⋅4<br />

4<br />

4y+ 8 = 3y+<br />

1<br />

4y− 3y<br />

= 1−8<br />

y =−7<br />

7. Napiši sve uređene parove koji se mogu <strong>na</strong><strong>pisati</strong> od brojeva 2, − 3, 5. 3 boda<br />

Rj.<br />

( 2, 2) ( −3, 2) ( 5, 2)<br />

( 2, −3) ( −3, −3) ( 5, −3)<br />

( 2, 5) ( −3, 5) ( 5, 5)<br />

8.<br />

⎛ 1 ⎞<br />

a) U koordi<strong>na</strong>tnom sustavu u ravnini ucrtaj točke K = ( 3, −1 ), L⎜2, ⎟,<br />

⎝ 2 ⎠<br />

M<br />

( 4, −5 ) i N( −3, −3)<br />

b) Odredi osnosimetrične točke točkama K i L s obzirom <strong>na</strong> ordi<strong>na</strong>tnu os.<br />

c) Odredi simetrične točke točkama M i N s obzirom <strong>na</strong> ishodiš<strong>te</strong><br />

koordi<strong>na</strong>tnog sustava.<br />

5 bodova<br />

www.mim-sraga.com<br />

17<br />

© Iva<strong>na</strong> <strong>Sraga</strong>

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