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PHNG GD&T TAM O

TRNG THCS VN LANG-------------------------

KIM TRA HC K II NM HC 2014- 2015

MN: TON 8

Thi gian lm bi: 90 pht (khng tnh thi gian giao )

A. Phn trc nghim(3 im). Khoanh trn vo ch ci ng trc cu tr li ng: Cu 1. Trong cc phng trnh sau, phng trnh no l phng trnh bc nht mt n s?

A. x2 - 1 = x + 2 B. ( x - 1 )( x - 2 ) = 0 C. -x + 2 = 0 D. + 1 = 3x + 5

Cu 2. iu kin xc nh ca phng trnh l:A. x ( -2 ; x ( 3 B. x ( 2 ; x ( - 3 C. x ( -2 ; x ( - 3 D. x ( 2 ; x ( 3

Cu 3. Cho tam gic ABC c AD l phn gic (D BC) bit AB = 4 cm ; AC = 5 cm; DB = 2cm. di DC l:

A. 1,6 cm. B. 2,5 cm. C. 3 cm. D. 1 cmCu 4. Tam gic ABC ng dng vi tam gic DEF c = v din tch tam gic DEF bng 90 cm2. Khi din tch tam gic ABC bng:

A. 10 cm2. B. 30 cm2. C. 270 cm2. D. 810 cm2

Cu 5: Hnh hp ch nht l hnh c bao nhiu mt?

A. 4 mt B. 5 mt C. 6 mt D. 7 mt

Cu 6. Hnh v sau biu din tp nghim ca bt phng trnh: A. x > 0 B. x > -5

C. x - 5 D. x -5

B. Phn t lun: (7 im)Cu 7(2 im). Gii phng trnh:

a) 8x 3 = 5x + 12 b)

Cu 8 (1,5im). Hai xe khi hnh cng mt lc t hai ni A v B cch nhau 102 km, i ngc chiu nhau v gp nhau sau 1 gi 12 pht. Tm vn tc ca mi xe. Bit vn tc xe khi hnh ti A ln hn vn tc xe khi hnh ti B l 5 km/h.

Cu 9 (2,5 im). Cho hnh ch nht ABCD , c AB = 3 cm , BC = 4 cm . V ng cao AH ca tam gic ABD .

a, Chng minh:

b, Chng minh: AB2 = BH.BD c, Tnh di: BH, AH Cu 10 (1 im). Gii phng trnh:

----------------Ht--------------(Lu : Gim thi coi thi khng gii thch g thm)TRNG THCS VN LANG-------------------------

HNG DN CHM KIM TRA HC K II

NM HC 2014 - 2015

MN: TON 8

A. Phn trc nghim(3 im):

* Mi cu tr li ng c 0,5 im

Cu123456

p nCABACD

B. Phn t lun (7im)

CuHng dn chmim

7

(2 im) a)8x 3 = 5x + 12 8x 5x = 12 +3 3x = 15 x = 50,50,5

b)- KX: x - 3 ; x 1

5(x 1) = 3(x + 3) 5x 5 = 3x + 9

2x = 14 x = 7 (TMK)

Vy phng trnh c nghim x = 70,25 0,25

0,25

0,25

8

(1,5 im) Gi vn tc ca xe i t B l x (km/h), x > 0Khi vn tc ca xe i t A l x + 5 ( km/h)

Qung ng xe t A i c l : (x + 5) (km)

Qung ng xe i t B i c l : x (km)

Ta c phng trnh: x + (x + 5) = 102 6x + 6x + 30 = 510 12x = 480 x = 40 (TM)

Vy vn tc ca xe i t B l: 40 km/h

vn tc ca xe i t A l: 45 km/h 0,250,25

0,25

0,25

0,25

0,25

9

(2,5 im) V hnh ng:

0,25

a)- Xt v c : ; (SLT) (g.g)0,5

b) Ta c (g.g)

AB2 = BH.BD0,5

0,5

c) - p dng nh l Pi ta go vo ta c:BD2 = AB2 + AD2 = 32 + 42 = 52 BD = 5 cm

- Theo cu b, AB2 = BH.BD =1,8 cm

- Cng t

(cm)0,25

0,25

0,25

10

(1 im)

0,25

0,25

0,25

0,25

----------------Ht--------------

B

H

C

D

A

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