de on thi hkii toan 9 tp hcm
TRANSCRIPT
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8/2/2019 De on Thi HKII Toan 9 Tp HCM
1/49
TRNG THPT DL VIT C tham kho thi HKII Ton 9
1 (HBT)Bi 1 : (3 ) Gii cc phng trnh v h phng trnh
a) 3x2 + 7x + 2 = 0 b) 9x4 x2 8 = 0 c)
=+
=
423
732
yx
yx
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Bi 2 : (2) Cho hm s y = - 2
2
1x c th l (P) v y = x 4 c th l l (D)
a) V (P)b) Tm ta ca (D) v (P) bng php tnh.
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TRNG THPT DL VIT C tham kho thi HKII Ton 9
Bi 3 : (1,5) Cho phng trnh: x2 + mx + 2m 4 = 0 (1) (x l n s)a) Chng minh phng trnh (1) lun lun c nghim vi mi gi tr ca m
b) Tm m phng trnh c hai nghim tha 42221 =+xx
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Bi 4 : (3,5) Cho tam gic ABC nhn (AB < AC) ni tip trong (O,R).Gi H l giao im ca haing cao BE v CF.
a) Chng minh t gic BCEF ni tip.Xc nh tm I ca ng trn ngoi tip t gicBCEF.
b) Tia AH ct BC ti D v ct (O) ti M.K MN // BC (N (O)).Chng minh t gicBMNC l hnh thang cn v AN l ng knh ca (O).c) Chng minh AN EF v ba im H,I,N thng hng.d) OH ct AI ti G.Chng minh G l trng tm tam gic ABC.
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TRNG THPT DL VIT C tham kho thi HKII Ton 9.........................................................................................................................................................................................................................................................................................................................................
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2Bi 1 : ( 3 ) Gii phng trnh v h h phng trnh .
a) 22x 7x 3 0 + = b) 4 29x x 0 =
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c) 23x 4 6x 4 0 = d)5x 2y 4
7x 3y 7
+ =
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TRNG THPT DL VIT C tham kho thi HKII Ton 9........................................................................................................................................................................................................................................................................................................................................
Bi 2 : ( 1,5 ) Cho (P) :2x
y2
= v (D) :x
y 12
= +
a) V (P) v (D) trn cng h trc ta .b) Tm ta giao im ca (P) v (D) bng php ton .
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Bi 3 : ( 2 ) Cho phng trnh : ( )2x 2 m 1 x 2m 4 0 + =
a) Chng t phng trnh lun c 2 nghim phn bit vi mi m . b) Gi 1 2x ; x l hai nghim ca phng trnh . Tm gi tr nh nht ca biu thc
2 2
1 2A x x= +
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TRNG THPT DL VIT C tham kho thi HKII Ton 9.........................................................................................................................................................................................................................................................................................................................................
Bi 4 : ( 3.5 ) Cho tam gic ABC c 3 gc nhn . ng trn (O;R) ng knh BC ct AB , AC lnlt ti F v E ; BE ct CF ti H .
a) Chng minh t gic AFHE ni tip . Xc nh tm I ca ng trn ngoi tip t gic AFHE .b) Tia AH ct BC ti D . Chng minh HE.HB 2.HD.HI=c) Chng minh : bn im D,E,I,F cng nm trn mt ng trn .d) Cho 0FAE 60= v AC = BC . Tnh chu vi t gic BFIE .
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TRNG THPT DL VIT C tham kho thi HKII Ton 9.........................................................................................................................................................................................................................................................................................................................................
3 (TL)Cu 1: Gii pt v h pt sau (4)
a) x2 4x = 0 c) x2 7x + 10 = 0
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b) x4 6x2 + 8 = 0 d)
=
=
832
557
yx
yx
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Cu 2: V th hm s y =4
2x
(1)
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Cu 3: (1) Cho phng trnh c n x (m l tham s) x2 mx + m -1 = 0a) Chng t phng trnh trn c nghim x1, x2 vi mi m
b) Tm m 2..2
212
2
1=+ xxxx
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TRNG THPT DL VIT C tham kho thi HKII Ton 9.........................................................................................................................................................................................................................................................................................................................................
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Cu 4: (3,5) Cho ABC c 3 gc nhn ni tip (O;R). V 2 ng cao AD v BM ct nhau ti H. TiaAD ct (O) ti E v tia BM ct (O) ti F.
a) Chng minh: t gic ABDM ni tipb) Chng minh: MD // EFc) Chng minh: CEF cnd) Tnh din tch hnh vin phn to bi dy AC v cung nh AC bit = 600
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TRNG THPT DL VIT C tham kho thi HKII Ton 9........................................................................................................................................................................................................................................................................................................................................
4Bi 1 (2,5 im) Gii cc phng trnh v h phng trnh sau :
a)6x 7y 40
2x 5y 8
=
+ = b) 22x 6x 1 0+ + = c) 4 2x x 20 0+ =
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Bi 2 (2 im)
a) V trn cng mt mt phng to hm s (P) y
21 x4
=v (D) y =
1x 2
2+
b) Tm to giao im ca (P) v (D) bng php ton.
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TRNG THPT DL VIT C tham kho thi HKII Ton 9.........................................................................................................................................................................................................................................................................................................................................
Bi 3 (2 im) Cho phng trnh ( )2 2x 2m 1 x m m 2 0 + =
a) Chng t trnh phng trnh lun lun c hai nghim phn bit x1 v x2.b) Tnh m phng trnh c 2 21 2x x 5+ = .
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Bi 4 (3,5 im) Cho tam gic ABC c ba gc nhn ni tip ng trn (O). Cc ng cao AD, BE,CF ct nhau ti H.
a) Chng minh t gic AEHF ni tip, xc nh tm I ca ng trn ngoi tip.b) Chng minh AF.AB = AH.AD = AE.ACc) Gi K l im i xng ca H qua BC. Chng minh K thuc ng trn(O).d) Gi S l giao im ca AH v EF. Chng minh CS IB.
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