“
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15.07.2006 II
kx 2 − (k 2 + 1) x + k = 0 ,
. 1.
)
k ≠0
.
x1 ?
) f (k ) =
x2 -
x1 x1 x2
+
x2 x2 x1
.
. 2.
16 − x 2 .(4 − 2 cos 2 x − 5 sin x) = 0 . . 3.
ABC
AC = 13 ,
S = 30 3 .
:
) ) )
. 4. DM
tg∠DAM = ) )
ABC = 60 0
BC ;
AB
; ABCDM
7 . 3 BM
. 1. ) k > 0 ;
D
.
.
r = 3,
ABM
. , N.
.
ABCD , DAM
AC
:
) . 2.
f min (k ) = f (1) = 2 . . x = 4; x = −4; x =
BC = 15 . 3. ) AB = 8 13 3 5 3 ) R= , r= ; 3 3
π 6
; x=
AB = 15
) d = OI = R 2 − 2 Rr = 13 . . 4.
) V = 81 7 ; ) S=
45 2 . 2
5π 7π ; x=− . 6 6 BC = 8 ;