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di6rnphAnbi€t
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B
sao
cho
doan
AB
c6
dQ
dii'nho
nhAt.
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2.
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diem)
l.
Giei phLlo-ng
trinh
:
sin2x.(l +
tanx)
:
3sinx.(cosx
_
sinx)
+
3
2.
Gi6i
bat

lAp
plruo'ng
ABCD.A'B'C'D'
cci
do
cldi
canh
bing
a
vd
cii6rn
M t5Lr6c
ca'6
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song
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B]
md
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-
o
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crrfi.ng
mi'h
rdrig
:
Gilf
+/66a1+rtra+f
>
a*b*c.
Cflu
6.
(
2,0
didm
)
l'
Trong
rndt
phlng
toa
d0
oxy,
cho
tam

cli6n
tic6
ta'r gi6cABC.
2.
Trong
l<h6ng
gian
toad6
Oxyz,
cho
mdtphing
(p)
c6 phLrong
trinh:
x*2y
1,22+
l=
0 vd
rndt
cAu (S)
c6 phLrong
trinh
:
x2
+
yz
+
z2
-
4x

Giei
he phLLong
trinh
:
nat
t*t
+ xyz
:40y
Lyt+x'y=10x
DqE
kiare
ki
tki
thft
fr$i
hpc
rftn
tratu
s
sE
dwgc
t6
chs?c
vda
rcgdy
rg,z#/s/zL!i
sap Ani
-
THANc
DIEM

+
2 cttd0
thi
(C)
tai
hai di'5m
phdn
bi6t
<+
c6 hai nghiQm
phdn
bi€t
<+
pt nrx'
-
4mx
+
4m
-
5
=
0
(*)
c6 hai
2x+1
Pt;=m(x-2)+z
nghiQm
phdn biQt khbc2
0,25
(m*0

=
(*,
-
4,)t
+
(y,
-y,)2
=
(xz
-
xr)2(m2
+
l)
:
[(x2
+
x1)2
-
4x1x2](m2
+
l)
0,2 5
4(4m-5) .
20(m2
+ 1) 2o,2m
:
Il6
-=;=
X*t
+

.
Ei6u kiQn : cosx
f
0.
Phuong
trinh dd cho
tuong duong v6i
pt
:
sinzx
^
sinx
.
3
) ,, l ,
#
(tun* +
1):3:lla(l-
tanx)
+ c+
tan2x
(l+
tanx):3tanx(l-tanx)
+
3(l+ tan x,t
cos'x'
'

phuong
trinh .
DiAuki€n:xl
BAt
phu'o'ng
trinh
dE cho tuong
duo'ng
v6'i
bpt
x+3
.
x+3
3sx-,
-
4,5.3"-t*u
')
;
0,25
AfJ
D{t1=3sx-2, t>0.'Bpttr6ntrdthanh
t2
-4t 45>0
+
t:9(dot> 0)
0,25
x+3
ATJ
'isx-z>
ge

rn,/z
-
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*
lr/t*=a*
:#rnz
*f
"lo*.
0,50
L
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=f*clx,
ddt
x:tanr
=r
dt:-+
dr:(l .of,)d,
,
x=
r/3
thi
IV
(1
ili1nt)
o
(0,50
ilid@.
Dung
thirit
diQn

luo.t
t4i K, N. Khi
d6
AKMN
la
thi€t
di€n
can
dung.
DAt
Vr
=
Ve.scvr*
Ve,.oouru
,
Vz= Veaco.a,s.c.o,-
Vt.
t
(0,50
[email protected]
ff
=#=
1
=+
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=;a*
=; .
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ch6p
A.BCMK

chi€Lr
cao ld
AD
=
a,
tf6y
ld
hinh
thang
CDNM.
1
.
-
AD
CD(ND+CM)
a3
Suy
ra
Ve.coN"
=:AD
3
'.Jcolrlr:T
,
=;
r(
a3
.3 t^3
V?y,
Vr
=-:-

szrlr+
ac
Dod6:
a*b*c<V1
+ab+/1
+bc+/1
+a;(dpcnr)
(1,0
ttiAm).
Tinh
di6n
tich tarn gihc

VI
(2
tli€n)
DLld'ng
thdng
BC c6 vecto
chi
phLro-ng
il la vecto
phap
cira
dLLdtrg
thing
x
+y
:
0,

=
i:i'
vd
A(-
5;
5)
Tac6:
BC=J2
Duo'ng
thing
BC
vitit va
d4ng t6ng
qurit
:
x
-
y +
l-s-s+r I
9
Goi
AH
ld
dudng
cao,
ta c6
AH
-
:-:
-

rn{t cAu
(S)
theo
mQt tfud'ng
trdn
c6 b6n kinh bing r
:
,lP P
=
2.
0,50
Tdm K cria
dudng
trdn
(C)
ld
giao
di€m cria mp(P)
vdi
dub'ng
thingd tli
qua
di€m 1vd
vudng
g6c
v6{
mp(P). Vecto
chi
phuong.c0a
duong thhng d Li vecto phrip

I((il ;-
).
bdnkinh
r:2
'J',
3' 3"
0,50
WI
,Q
iliem)
(1,0
cli€nt). Giei
he
phLro'ng
trinh
N6u x=0thi
y:0
=+
(0;0)
ld
mQtnghiQm
crhahQ
phuongtrinh.
Ntiu
x
I
0. D?t
y
=
tX, khi

lt##
:
to (z)
Tt(l)
+
t>0,k6tho.pv6'i(2)
-
t::.Thay
t=
)
,eo(l)raduo-c
x=+4
+
y=r2.
Drip
sti : HQ
pt
c6 3 nghiOm
(0;
0),
(4;
Zj
,
e
a;
-
2).
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