! " # " ! " # " # " " "
$ % " !
y 3 x 2
F= +
3
x
−
y
≥
9
3
x
−
2
y
≤
12
x≥0 y≥0! x2−ax+1=0 " # # $ ! x2+px+q=0
"
2 3 1
x x
1 3 2
x x
=
p
% &' & % &
% &% & % & &% & % & &' & % & &' & ' &
( ax+by+c=0 ! ! )! ! A(1,−2) B(−5,2) C(10,−8) $ * + !
" , !- ! a+b+c=
. /
& *- y=2x2−16x+24 -!- 0 * " ! ! $ 0 00 0 ! !
*--!- 0 * # !! ! (a,0) a=
2 1
1
− %
2 1
1
2 1
2
1 $ a b 5
5 1 2 1
5 1 2 1
+ = + −
=
+b
a
& 1
* ! 0 ! - ! , −− = − −
2 2 2
) xy (
y x
# ' " # % " % # ' " # % "
# % " # # % " %# # % "
2- * - ! * " 0 * 0 " . + " 0
1& + & + & + & + .& +
$ θ' +- θ3 4 sin3θ+cos3θ=
2 1
4 3
16 9
8 5
16 11
. $ BC=16 AC=10 ∆ 3 40 3 AB=
& 1
/ =
− − +
→ x 1
4 x x x 3 1 x
lim
. /
= − − π
→ sinx cosx
x cos x sin 2 1 x
lim
4 1
2 1
2
2 1
/ %
$ 0 0 " 00 0 5 y=sinx+cosx ! ! " 0 * " 4π 0 0 -!- 0
* " ! !
/ 4π
/ / % 4π
/ ' 4π
, 0 y=(x−3) x sin x cos
x sin x cos y sin x (cos
1 sin x (cos
2 sin x (cos
3
+ −
x sin x cos
1 sin x cos
2
& 1 / &
&
%& % log a b log a 1 log
2 log
2 log
n log
1 log
2 log
1
! 0 - ! ! 00
(
log(x−5))
2+(
log(x−5))
3+(
log(x−5))
4+..." 8 ! # " 0
% < # < & < # < 1 < # < 1 < # < 1 < # < 1
! x2−6x+a=0
" # # $ # # x1+x2
! ! ! ! - ! ! 3
&
/
& ! * 8 ! ! * ! 8 ! ) ! " #3
=8 & 1 /
> / &/ / # /
/ 1 / 1 /
1 +-* * 0 0 + " 8 ! !
*
18 5
3 1
12 5
2 1
3 2
