[PDF] Mate 2000 Consolidare - Clasa a VIII-a semestrul I (2021-2022

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Mate 2000 Consolidare

Clasa a VIII-a, semestrul I (2021-2022)

TESTE DE AUTOEVALUARE

Sğ

Test de autoevaluare

- p. 19 a {1, 3, 7, 9}. 2. x {0, 1, 2}. x = 20.

2,3(5).

F.

D. B.

B. B.

a = 729 = 27 . A = -7, -2, -1, 0, 1, 2, 3, 8, B = -11, -4, -2, -1, 0, 1, 3, 10;

A B = -2, -1, 0, 1, 3.

3 2373

21x
= 9 21x
x -4, -1, 0, 1, 2, 5. 4 9ab a + b = 9 (a, b) {(1, 8), (2, 7), (3, 6), (4, 5)}.

Test de autoevaluare

- p. 27 6,8. -3,21. 8. x 9, 10, 11, 12. 1. x -1, 2.

B. C. D. C.

Pentru -2 < x < 3 x - 3 = -x x + 2 = x + 2 a = 5 . x = -1, y = 3 x < y. x 1, 2.

2ab ab{25, 56, 89} 10 170.

Test de autoevaluare

- p. 41 -4. [1; 5]. [-2; 3].

0, 1, 2, 3.

(-6; 8]. -2.

B. C. B. A.

A B = -1, 0, 1, 2, 3, 4, 5, 6, 7.

A = 2, 4; B = [1; 4); A B = 2.

Dăx [-2; 5] x + 2 = x x - 5 = -x + 5 a = 7 . x y [-5; -3] x > y.

Test de autoevaluare

- p. 47 {0, 1, 2, 3, 4, 5}. {-2, -1, 0, 1, 2}.

S = [-3; 3].

S =

2 31; 1.

S = (-; 7) \ {-5}.

S = [-2; +)

C. B. B. C.

x [-5; 1]. x (-2; 1) \ {-1}. x {0, 1, 2, 3, 4, 5}. x (-2; +).

Test de autoevaluare

- p. 65 -5x. 4x 2 + 2.

6x - 4.

x 2 + 5x. x - 12. 30x
2

C. D. C. B.

a =

3x x = 3.

x 2 x - 20. n = 9; x =

26; y = 636.

0.

Test de autoevaluare

- p. 73 9x 2 + 4.

24x - 25.

x 2

8x + 13.

5. -2.

B. B. C. C.

-4. a = 21 . a) E

1(x) = -8x + 8; E2(x) = 12x + 12; b) E1(n) + E2(n) = 4(n + 5)ăn = 2k + 1,

k E

1(n) + E2(n) = 8(k + 3).

a = 2x - y + 11 + x - 2y - 15 - x + y + 7 Ġe, avem a = 2x - y + 11 x + 2y + 15 - x - y - 7 a = 19.

Test de autoevaluare

- p. 93 (5x - 4y) 2 5x 2 (3x 2 5 x - 7). (x - 5)(x + 3).

2(a - b)(2a + 2b + 1).

(x - y - 2)(x - y + 2). x {-5, 1}.

D. B. B. C.

x =

3 y = 2.

3(x + 1)(3x + 5)(3x + 7).

(x + 2)(x - 1)(x + 3)(x - 2). a = -1; b = 4.

Test de autoevaluare

- p. 103 x {-3, 3}. x \ 3. 2 2 14 2 26xx
xx 2 2 4 44
x xx 1 3x 21
5 x x

A. A. A. D.

2 ( 2)(1) 1 xx xx

Pentru x \

3 1, ,1 5

F(x) =

1 1x

Pentru x \ -5, 0, F(x) =

5 5 x x a) 23
2x x ; b)

A = -5, 1, 3, 9.

Test de autoevaluare

- p. 119

90 cm.

96 cm.

36 3 cm

2

R = 6 cm; G = 12 cm.

G = 10 cm.

B. A. D. D.

ABC = 36 cm.

AC + AB' + BC' =

2 534 41 cm.

3

SA = 12 cm.

G = 15 cm; h =

3 21 cm.

Test de autoevaluare

- p. 129 0. 45.
60.

B. A. D. A.

AA = 6 cm; MN (BA'C').

a) Cum O

1O2 este CAD O1O2 AD; b) 240 cm.

DM =

63cm; AM = 66cm. Cu rec DAM

, cu ADM = 90 DM DA. a) (VA, DC)) = (VA, AB)) = VAM) = 4 3 b) (DC, VM) = (AB, VM) = 90.

Test de autoevaluare

- p. 143 t. unu. unu. unu. 6

B. C. A. B.

DO = 66cm.

M, (ABC)) = 20 cm.

MB = 24 cm; MC =

12 6cm; C, (MAD)) = CD = 18 cm.

MB = MD =

66cm; BD = 12 2cm; MBD =

12 21 3cm; MO = 12 cm;

MBD = 2 MO BD = 72 2cm 2

DN MO, MO DB D, (MAC)) = DN;

cum DN ăĠ MOD O DN = MD DO MO 6662
12 = 63cm.

Test de autoevaluare - p. 149

12 cm.

20 cm.

15 cm.

10 cm.

C. A. D. C.

V, (ABC)) = 8 cm.

a) AB = 10 cm; b) (C', (BDD)) = C'O' = 52cm.
a =

63; b = 6; c = 33.

h =

46cm; (O, (SBC)) =

46
3 cm.

Test de autoevaluare

- p. 159 a) 30; b) 45; c) 2 2 a) 45; b) 45; c) 45. a) 30; b) 30; c) 6 3

B. A. B. A.

r (BCC') AC' = BC' = 62cm. (A'C, (ABC)) = ACA = 60.

SO = 6 cm.

a) (VB, (VAC)) = OVB; OVB = 45; b) (BC, (VAC)) = BCO; BCO = 45.

Test de autoevaluare

- p. 165 e. 90.
0. a) 45; b) 90.

C. C. B. A.

a) ((A'AB), (A'AC)) = BAC = 60; b) BC AD, BC AA' BC (A'AD) (BCC') (A'AD). ((B'AC), (ABC)) = m(B'DB) = 60. ((BA'C'), (DA'C')) = BO'DA'C' B'D' = {O'}. ă

BDO' =

2 BDOO 2

BOD OBOD

BO'D) =

22
3

ăSABC - SAB SAC sunt ăM este

SA ((SAB), (SAC)) = (BM, MC) = BMC.

MBC = 2BCMD 2

BMMC BMC

BMC) =

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