7/31/2019 De Va Dap an Mon Toan Tuyen Sinh 10 Da Nang 2362012

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S GIO DC V O TO K THI TUYN SINH LP 10 THPTTP. NNG Nm hoc: 2012 2013

CHNH THC MN: TONThi gian lm bi: 120 pht

Bi 1: (2,0 im)1) Gii phng trnh: (x + 1)(x + 2) = 0

2) Gii h phng trnh:2 1

2 7

+ =

=

x y

x yBi 2: (1,0 im)

Rt gn biu thc ( 10 2) 3 5= +ABi 3: (1,5 im)

Bit rng ng cong trong hnh v bn l mt parabol y = ax2.1) Tm h s a.2) Gi M v N l cc giao im ca ng thng

y = x + 4 vi parabol. Tm ta ca cc im M v N.

Bi 4: (2,0 im)Cho phng trnh x2 2x 3m2 = 0, vi m l tham s.1) Gii phng trnh khi m = 1.2) Tm tt c cc gi tr ca m phng trnh c hai nghim x1, x2 khc 0 v tha iu

kin1 2

2 1

8

3 =

x x

x x.

Bi 5: (3,5 im)Cho hai ng trn (O) v (O) tip xc ngoi ti A. K tip tuyn chung ngoi BC, B (O), C (O). ng thng BO ct (O) ti im th hai l D.1) Ch`ng minh rng t gic COOB l mt hnh thang vung.2) Chng minh rng ba im A, C, D thng hng.

3) T D k tip tuyn DE vi ng trn (O) (E l tip im). Chng minh rng DB =DE.

BI GIIBi 1:1) (x + 1)(x + 2) = 0 x + 1 = 0 hay x + 2 = 0 x = -1 hay x = -2

2)2 1 (1)

2 7 (2)

+ =

=

x y

x y

5y 15 ((1) 2(2))

x 7 2y

=

= +

y 3

x 1

=

=

Bi 2: ( 10 2) 3 5= +A = ( 5 1) 6 2 5 + =

2( 5 1) ( 5 1) + = ( 5 1)( 5 1) + = 4Bi 3:1) Theo th ta c y(2) = 2 2 = a.22 a =

2) Phng trnh honh giao im ca y = 21

2x v ng thng y = x + 4 l :

x + 4 = 21

2x x2 2x 8 = 0 x = -2 hay x = 4

0 1 2

2

y=ax2

y

x

7/31/2019 De Va Dap an Mon Toan Tuyen Sinh 10 Da Nang 2362012

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