DE-HKI-2010-Toan-lop9
description
Transcript of DE-HKI-2010-Toan-lop9
S GIO DC V O TO
S GIO DC V O TO
THNH PH NNG
(((((((((((KIM TRA HC K I
NM HC 2010-2011
((((((((((((((((((
MN TONLP 9Thi gian: 90 pht (khng tnh thi gian giao )Bi 1 (2,0 im)
Cho biu thc
a) Tm iu kin ca x biu thc A c xc nh.
b) Vi iu kin trn, chng minh rng
Bi 2 (2,5 im)
Cho ba hm s c th l ng thng (d1), c th l ng thng (d2) v c th l ng thng (dm).
a) Trn cng mt h trc ta hy v hai th (d1) v (d2).
b) Vi nhng gi tr no ca m th hm s ng bin trn
c) Tm gi tr ca m ba ng thng (d1), (d2) v (dm) ng qui.Bi 3 (2,0 im)
a) Gii h phng trnh:
b) Cho v tm x bit rng:
Bi 4 (3,5 im)
Cho tam gic ABC vung ti A c AB < AC v ng cao AH. Gi M, N, P ln lt l trung im ca cc cnh BC, CA, AB. Bit AH = 4cm v AM = 5cm.
a) Tnh cc cnh tam gic ABC.
b) Chng minh cc im A, H, M, N, P cng thuc mt ng trn.
c) V ng thng ( vung gc vi AM ti A, ng thng ( ct hai ng thng MP v MN ln lt ti v . Tnh tch
--- HT ---
_1353675212.unknown
_1353679610.unknown
_1354217056.unknown
_1354608457.unknown
_1353931777.unknown
_1353931778.unknown
_1353931885.unknown
_1353680715.unknown
_1353677847.unknown
_1353679275.unknown
_1353675784.unknown
_1353659359.unknown
_1353675122.unknown
_1353659000.unknown