262 ĐỀ Ôn Thi vÀo lỚp 10

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    VO LWWW.MATHVN.COM

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    3 31 2

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    1 1 1 1 1

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    61

    Cu 1.

    1.Ch 9 4 2 2 2 1.

    2.Rt g A 4 9 4 2 .Cu 2 nh 2x2 + 3x + 2m 1 = 01.Gi nh v2.Tm m trnh c hai nghi

    Cu 3. M nh ch 1200m2

    b i 4m thm 2 tu bCu 4 n tm O n tm A bnknh nh n (O) t D, c n cung nh

    c a) Ch cc ti c n (A).b) Ch phn gic cc) Chd) Gi b.

    Cu 5. Tm gi tr 2 + 3x + 4.

    62

    Cu 1. Tm hai s tb l 116.Cu 2 nh x2 7x + m = 0

    a) Gi nh khi m = 1.b) G 1, x2 l cc nghi nh. Tnh S = x1

    2 + x22.

    c) Tm m nh c hai nghiCu 3. Cho tam gic DEF c D = 600, cc gc E, F l gc nh

    n tm O. Cca) Tnh s

    b) Ch

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    c) Ch tm tdCu 4. Cho a, b l 2 s

    2 22 2 2 2 a b a ba b a a b b

    2

    63

    Cu 1.Th1

    a) 2 6 4 3 5 2 8 .3 64

    2 2b)

    3 5 3 5

    Cu 2 nh x2 2x 3m2 = 0 (1).

    a) Gi nh khi m = 0.b) Tm m nh c hai nghic) Ch nh 3m2x2 + 2x 1 = 0 (m

    phn bi m ngh nh (1).Cu 3. Cho tam gic ABC vung cn t trung tuy

    hnh chi nAB, AC; H l hnh chi

    a) T hnh g?b) Ch ng n n m n. Xc

    tm c nc) Ch ng.

    Cu 4. Tm nghi nh 2 3 3 x 3 y 3

    64

    Cu 1. Cho bia 3 a 2 a a 1 1

    P :a 1 a 1 a 1a 2 a 1

    a) Rt g

    b) Tm a1 a 1

    1P 8

    Cu 2. M ng t ngB 72km, th ng t h ng l 15 pht. Tnh vt ng c dng n 4km/h.Cu 3. Tm t B c m s y = x2.G C l hnh chi B ln tr nh. Tnh di

    tch t

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    Cu 4 a OA v dy MN vunggc v y trn cung nh MN.

    a) Chb) Tnh tch AH.AK theo R.

    tnhgi trCu 5. Cho hai s nCh 2y2(x2 + y2) 2

    65

    Cu 1. Cho bix 1 2 x

    P 1 : 1x 1 x 1 x x x x 1

    a) Tm rt g

    b) Tm cc gi tr nguyn c P x nh n.Cu 2.

    a) Gi nh x4 4x3 2x2 + 4x + 1 = 0.

    b) Gi2 2

    2

    x 3xy 2y 0

    2x 3xy 5 0

    Cu 3. Trong m nh2x

    y2

    . G

    - 2) v c ha) Vi nh d

    b) G hnh chi n tr nh.

    ChCu 4 tit M D.Gminh r

    b) B ng thu n.n c

    d) Tm J c n ngocCu 5. Cho hai s n y tm gi tr

    c 2 21 1

    Ax y xy

    .

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    66

    Cu 1.a) Gi nh 5x2 + 6 = 7x 2.

    b) Gi nh 3x y 5x 2y 4

    c) Tnh18 12

    2 3

    Cu 2. Cho (P) y = -2x2o thu

    A(-1; -2); B(1 1

    ;2 2

    ); C( 2; 4)

    b) Tm kc) Ch 2 + 1) khng thu

    Cu 3. Cho tam gic ABC vung t. T

    a) Ch AHD bb) Ch hai gc HCE v HAE bc) Chd) Che) Tnh gc BCA n

    Cu 4.Cho hm s th n21f x 3f x

    xv

    67

    Cu 1.

    a) Tnh

    9 1

    2 1 5 : 1616 16

    b) Gi3x y 2

    x y 6

    c) Ch 3 2 l nghi nh x2 6x + 7 = 0.

    Cu 2. Cho (P): 21

    y x3

    .

    1A 1; ; B 0; 5 ; C 3;1

    3o thu

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    b) Tm k nh y = kx 3 ti

    c) Ch r 2 ctCu 3 tituy Q.

    a) Chb) Chc) Ch

    CD.

    gic ABC.Cu 4. Tm gi tr 2 2A 2x 2xy y 2x 2y 1.

    68

    Cu 1.

    1.Choa a a a

    P 1 1 ; a 0, a 1a 1 1 a

    a) Rt g

    b) Tm a bi 2 .

    c) Tm a bi a .

    2.Ch 13 30 2 9 4 2 5 3 2

    Cu 2 nh mx2 2(m-1)x + m = 0 (1)a) Gi nh khi m = - 1.b) Tm m nh (1) c 2 nghi

    c) G x1 , x2. Hy l nh nh 1 22 1

    x x;

    x xlm

    nghiCu 3.Cho tam gic nh n tm O,

    P.a) Ch OP vung gc v

    b) Tnh di rn l R v tgQAD =3

    4.

    Cu 4.a)Gi nh ax2 + bx + c = 0 c nghi 1. Ch

    nh cx2 + bx + a = 0 c 2 v x1 + x2 0.

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    b)Tm c n nh x2y + 2xy 4x + y = 0 sao cho y

    69

    Cu 1.1.Cho

    2 2

    2

    1 2x 16x 1P ; x

    1 4x 2

    a) Ch2

    P1 2x

    b) Tnh P khi3

    x2

    2.Tnh2 5 24

    Q12

    Cu 2. Cho hai p nh2 2x x 2 0 (1); x 3b 2a x 6a 0 (2)

    a) Gi nh (1).b) Tm a v b nhc) V m a nh (2) c nghi 1, x2 th n x1

    2 + x22 =

    7Cu 3. Cho tam gic ABC vung gc B ll trung tuy n tm H bn knh HA c

    tha) Ch ng.b) Ch MAE DAE; MA DE .c) Ch n tm O. T

    AMOH l hnh g?d) Cho gc ACB b 0 v AH = a. Tnh di

    Cu 4.Gi nh2 2ax ax - a 4a 1

    x 2a

    . V

    70

    Cu 1.

    1.Rt g 2 3 2 2 3 2 3 2 3 2 2 .

    2.Choa b

    xb a

    v

    a) Ch 2x 4 0 .

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    b) Rt g 2F x 4 .

    Cu 2 nh 2 2x 2 x 2mx 9 0 (*) ; x l tham s

    a) Gi - 5.b) Tm m

    Cu 3. Cho hm s y = - x2

    (P); hm s (d).1.V (d) trn cng m m t (d).

    -1; -2), b y cho bi nth

    3.Tm nhCu 4. Cho tam gic nh hnh chith

    1.Ch ti2.Gc DFE (D thu m phn gic trong v H l giao

    ng.3.Tia DE c tam gic g th t

    AFEK l hnh bnh hnh, l hnh thoi? GiCu 5. Hy tnh 1999 1999 1999F x y z

    nh:

    x y z a xy yz zx a xyz 0; a 0

    71Cu 1.

    1.Gi nh, h nh, ph nh2 2x 3y 12a) 2x 6 0 b) x x 6 0 c)

    3x y 7

    2.T a nghi nh, ph nh, hnh sau:

    2 p 3 q 12a) 2 y 6 0 b) t t 6 0 c)

    3 p q 7

    Cu 2.

    1.Ch2 2

    1 2a 3 12a 2 2a .

    2.Rt g

    2 3 2 3 3 2 32 24 8 6

    3 2 4 2 2 3 2 3 2 3

    Cu 3. Cho tam gic ABC (AC > AB) c AM l trung tuy trnn (O)

    n (O) c i

    gc A t

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    n (O) cminh hai t

    3.Ch 2 = FI.FA.4.Ch

    Cu 4. Rt g

    2 2 2 2 2 2 2 2

    1 1 1 1 1 1 1 1T 1 1 1 ... 12 3 3 4 4 5 1999 2000

    72Cu 1.Gi nh sau

    1) 4x 1 = 2x + 5 2) x2 8x + 15 = 0 3)2x 8x 15

    02x 6

    Cu 2.

    1.Ch2

    3 2 2 1 2 .

    2.Rt g 3 2 2 .

    3.Ch2 2

    1 13 2 17 2 2 17

    2 2 7 2 2 17

    Cu 3 n (O)BC t

    I.1.Ch2.G gc DEA

    b3.Ch4.AT l ti ti ch o khi

    Cu 4.1.Cho tam gic ABC c BC = a, AC = b, AB = c, G l tr

    l kho

    x y z

    bc ac ab 2.Gi trnh

    25 4 2025

    x 1 y 3 z 24 104x 1 y 3 z 24

    73

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    Cu 1.Gi nh

    2 2

    2

    x 2x y 0

    x 2xy 1 0

    Cu 2. Gi nh (x 1)(x + 2) < x2 + 4.

    Cu 3.1.Rut g

    1P 175 2 2

    8 7.

    2.V o c ph nh 2x2 4x m + 3 = 0 (m l tham sv nghiCu 4. Cho tam gic ABC c ba gc nh

    n ngo c1.Ch BAM PQM; BPD BMA .2.Ch BA.DP.

    3.Gi BPBM

    theo a, b, m.

    4.Gng.

    74Cu 1.

    1.Gi nh (x + 1)(x 4) < 0.2.Gi bi nh 1 x mx m v tham s

    Cu 2. Gi nh

    3 6 12x y x y

    1 10

    2x y x y

    Cu 3. Tm gi tr 2 2P x 26y 10xy 14x 76y 59 . Khiu?

    Cu 4. Cho hnh thoi ABCD c gc nh BAD . Vpha ngoi hnh thoi v tam gic

    1.Tm tm c n

    2.Ch r BD = 2a.sin2

    .

    3.Tnh gc ABK theo .4.Ch n m

    Cu 5. Gi nh2

    x x 2 1 1 x

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    2. Tnh gi tr m s cc gi tr

    Cu 4 AB v CD. Ti BD t E, F. G P v Q l trung

    AF.

    1.Ch Cd c v o th tam gic BPQc di y tnh di

    77

    Cu 1. Cho a, b, c l ba s

    1 1 1x ; y ; zb c c a a b

    Ch x + y = 2z.Cu 2 nh ph nh:

    x2 (2a 1)x + 2(a tr

    Cu 3. Gi nh:

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    b) Chc) G n (O), (M), (N) theo th p cc tam gic ABC, DHB,

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    Cu 3: n (O) v (O), ti i tngoi DE, D (O), E (O). K

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    T i ch chol 16. Tm hai ch

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    3. Hai h rnhx 3 3

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