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I'M Twenty Pounds of Grumpy...: ))

In:

Submitted By AlexKid95
Words 420
Pages 2
Teză la matematică
Clasa a VIII-a, sem. al II-lea

Numărul 1

Oficiu 20 p

SUBIECTUL I ( 40 p) - Treceţi pe foaie numai rezultatele

1. (5p) a) Soluţia reală a ecuaţiei 4x – 5 = 2x + 3 este..........................
(5p) b) Cel mai mare număr natural soluţie a inecuaţiei 5x + 3(x – 6) 7x + 13 este.............. (5p) c) Soluţia sistemului este perechea........................

2. Fie funcţia f: RR, f(x) = 2x + 5 (5p) a) f(–1) = .................... (5p) b) Dintre punctele A(-2, 9), B(1,7) aparţine graficului funcţiei, punctul......................

3. Un cub are volumul de 125 cm3. (5p) a) Muchia cubului este........................... (5p) b) Aria totală a cubului este .................. (5p) c) Diagonala cubului este ………….…..

SUBIECTUL II ( 40 p) - Treceţi pe foaie rezolvările complete

1. Fie funcţia f : RR, f(x) = 3x – 2 (5p) a) Reprezentaţi grafic funcţia (15p) b) Calculaţi aria triunghiului MON unde M şi N sunt intersecţiile graficului cu axele de coordonate

2. În figura 1, corpul VABCD este o piramidă patrulateră regulată iar M este mijlocul lui BC. (5p) a) Completaţi pe foaia de teză figura cu segmentul OM. (5p) b) Dacă OM=6 cm, VM=10 cm, aflaţi aria triunghiului VOM. (5p) c) Aflaţi aria totală şi volumul piramidei. (5p) d) Determinaţi distanţa de la punctul M la planul (VAD).

Timp efectiv de lucru 40 minute.
Teză la matematică
Clasa a VIII-a, sem. al II-lea

Numărul 2

Oficiu 20 p

SUBIECTUL I ( 40 p) - Treceţi pe foaie numai rezultatele

1. (5p) a) Soluţia reală a ecuaţiei 6x – 5 = 3x + 4 este..........................
(5p) b) Cel mai mic număr natural soluţie a inecuaţiei 2x + 4(x – 3) > 5x – 8 este.............. (5p) c) Soluţia sistemului este perechea........................

2. Fie funcţia f: RR, f(x) = 4x – 1 (5p) a) f(–1) = .................... (5p) b) Dintre punctele A(-2, 9), B(2,7) aparţine graficului funcţiei, punctul......................

3. Un cub are volumul de 64 cm3. (5p) a) Muchia cubului este........................... (5p) b) Aria totală a cubului este .................. (5p) c) Diagonala cubului este ………….…..

SUBIECTUL II ( 40 p) - Treceţi pe foaie rezolvările complete

1. Fie funcţia f : RR, f(x) = 4x – 2 (5p) a) Reprezentaţi grafic funcţia (15p) b) Calculaţi aria triunghiului MON unde M şi N sunt intersecţiile graficului cu axele de coordonate

2. În figura alăturată ABCD este un tetraedru regulat cu muchia egala cu 4 cm, iar O este centrul bazei.

(5p) a) Care este apotema piramidei? (5p) b)Calculaţi aria totală a tetraedrului; (5p) c) Calculaţi volumul tetraedrului; (5p) d) Aratati ca ;

Timp efectiv de lucru 40 minute.

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