Trường THPT Võ Giữ Đề cương ôn tập HKI môn Toán lớp 12
ĐỀ CƯƠNG ÔN TẬP HỌC KÌ 1 MÔN TOÁN LỚP 12 NĂM HỌC 2010 - 2011
------------------------------------------
A/ ĐẠI SỐ VÀ GIẢI TÍCH.
Bài 1
 

  

y x m= + + +

 ! " #
Bài 2$%&


 

x
c > −
'()
*
≠

   
+ >
'()
*+

x
π
 

1
y
x
39+;
?
 y x= −
3
+
 
π π
 
−
 
 
@
( )

A y x x= − +
39*+;
Bài 54567466 B - 

= − + −
2
5 4y x x

 
   y c x= + +

Cy x x= −
'(D* >

  
 

 
y x m m= − +
,- ## ! " #$8
I8GJK./
Bài 8&
3 2
3 4y x x= − + −
12
L=-''M#12 B
N"'#127OC8P?O BQGH&
 
 *x x m− + =

RQGHQ8.'(123 !FC
x =

>RQGHQ8.'(127O!  BQ8.
S

k =

?RQGHQ8.'(127'8T! '(GJK
( )

& 
S
d y x= +

 
 *x x m− + =
RQGHQ8. B#127O!  BQ8.%
>RQGHQ8.'(12Q8.I8X1*+:2
Bài 12
 
Ay x x= − − +
L=-''M#12 B
RQGHQ8.'(12Q8.'8T! '(GJK


A
y x= +
Bài 13&
 

x
y
x
−
=
+
1C2
L=-"''M#12 B12
RQGHQ8.'(12Q8.'(GJK&
  *x y− + =

4)1>2CGJKI8Y1+*2' !O
Z
[

x
x
+
−
<GJK1>2&y = kx+ U#123
QVO^76 
OM ON
⊥
1_CT )F2
Bài 1777 C - >GH'<- `a&
C +C + C
a b c
x p x q x r= = =
b
C
abc
x

?Q7I7
Bài 18PQ- # - 8

( )

C y +=

(
)


C  y x x= − + −+

    
+
+ ≥ =
C3 !
 




 
+
=
N! h $
    
+ >
7
*+

x
π
 
∀ ∈
 ÷
 
Bài 20: 4= - QGHi&

   *
x x
− − =


C
C C  C
0
  
   
x+ −
+ = +
>

  
x
x
− =
Bài 22: 4= - QGH8

 
C C 1 2 x x+ + =


  
C C C Sx x x+ =

 
C 1 2 C 1 2 x x− + − =
>
( )
( ) ( )

   
 

( ) ( )


 
C  C  x x− + − =
 
( )

 
C  C 1 2 A *x x+ − + + =
>


C C  
x
x + =
?/

 
C C  *x x+ − =
@



A
C S
C
x
xx


− =
+ − =






( )
( )
 
 
 
C  C
 k
x xy y
x y xy
− +

+ = +


=


Bài 25:4= - lQ8

k

≤+

 

 
 
 
x x
+
   
+ >
 ÷  ÷
   

  


x
x
+
≤
−
−


 j jA
x
x
x
−
>
Bài 27&4= - lQ8


x
x
 
+ −
≤
 ÷
+
 
@
( )


C S    
x x+
− − ≤ +
Bài 28& - -# BQGH8 !O&
( )
    *
x x
m− − =
Bài 29& - -# BQGH
( )
( )

j 
j
C  C  *m x m x− + + =−
!mO
QVO


bb  B< !QdXWN
$8 B 3dCVo h83Q !QdXWN

Bài 4.  !QdXWN !-.XWNC pP'(XW/7XN/7 3dX'8T! 
'(-.7 3dW3'(o-.F! A*
*
 3dXCl.^ 


=
a
AM
^oQK
1W^2 U 3dN36
bb < !QdXWN
bb < !QdW6^  cd&

* 
j
Bài 5CrgXWXsWss ! 3%c-.XWC- '8T3X !XW/7
X/

e 8'8T!  BtXsC1XW2C8 B 3Wbb <
!QXsXW?
Bài 6<FQXWNXuWuuNu !l = -  3%'! vtX]8%A*
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