7/29/2019 Microsoft Word Bai Tap QHTT[Thi Cao Hoc]

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TUYN TP CC BI TON QHTT TRONG CC K THI CAO HC

1 . C h o b i t o n q u y h o c h t u y n t n h s a u : ( ) 1 2 3 4

1 2 3 4

1 2 3

1 2 3 4

10 14 6 29 4 10

2 2 2

5 2 2 4

0, 1,4j

f x x x x x Minx x x x

x x x

x x x x

x j

= + +

+ + +

+ + + =

=

a

. C h n g m i n h ( 6 , 0 ,

1 5

, 4 ) l p h n g n t i

u c a b i t o n c h o b n g c c h d a

v

o c c n h l i n g u

b

. G i i b n g p h n g p h p n h n h k i m

t r a l i

c

. T m p h n g n t i u c a b i t o n c t h n h p h n x 3 =

1 1

2 . C h o b i t o n q u y h o c h t u y n t n h s a u : ( ) 1 2 3 4

1 2 3 4

2 3 4

2 3 4

4 3 2 3

5

3 3 2 7

1

0, 1,4j

f x x x x x Min

x x x x

x x x

x x x

x j

= +

+ + =

+ + + =

=

a

. G i i b i t o n b n g p h n g p h p n h n h b

. L p b i t o n i n g u

v

t m p h n g n

t i u c a b i t o n i n g u

c

. H y t m m t p h n g n c a b i t o n t r n v

i

30x >

. C h o b i t o n q u y h o c h t u y n t n h :

( ) 1 2 3 4 51 2 3 4 5

2 3 5

2 3 4 5

2 4 3 5

3 3

2 4 15

5 2 4 19

0, 1,5j

f x x x x x x Min

x x x ax x

x x x

x x bx x

x j

= + +

+ + + =

+ + +

=

a

. G i i b i t o n b n g p h n g p h p n h n h k h i a = b =

1

v

t m p h n g n c a b i

t o n c f ( x ) = 9

1

v

i t h n h p h n

10x >

b

. L p b i t o n i n g u c a b i t o n t r n k h i a = b =

1

, t m p h n g n t i u c a

b i t o n i n g u

c

. K h i b = 0 , x c n h a b i t o n v n g h i m n g a y t b n g n h n h u t i n

t d n g c h u n t c M c a b i t o n t r n

4

. C h o b i t o n q u y h o c h t u y n t n h : ( ) 1 2 3 4 5

1 2 3 5

1 2 3 4

1 2 3 4

8 5 4 3 2

2 2 3

9 4 6

2 5 2 2

0, 1,5j

f x x x x x x Min

x x x x

x x x x

x x x x

x j

= + + +

+ =

+ +

+ + =

=

a

. G i i b i t o n c h o b n g p h n g p h p

n h n h

b

. T m t p p h n g n t i u c a b i t o n c h o

c

. C n h n x t g k h i f ( x ) - > M a x d

. V i t b i t o n i n g u c a b i t o n c h o v

t m p h n g n t i u c a n

5 . C h o b i t o n q u y h o c h t u y n t n h : ( ) 1 2 3 4

1 3 4

1 3 4

2 3 4

1 3 4

10 2 8

4 8 40

2 0

2 10

4 2 6

0, 1,4j

f x x x x x Max

x x x

x x x

x x x

x x x

x j

=

+ + +

+ + = +

=

a

. G i i b n g p h n g p h p n h n h b

. V i t b i t o n i n g u c a b i t o n t r n

v

t m p h n g n t i u c a n

c

. K h i h m m c t i u c a b i t o n l f ( x ) - > M i n

.

H y c h n g t b i t o n l u

n c

p h n g n t i u

7/29/2019 Microsoft Word Bai Tap QHTT[Thi Cao Hoc]

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6

. C h o b i t o n q u y h o c h t u y n t n h : ( ) 1 2 3 4

1 2 3 4

1 2 3 4

2 3 4

2 4 2 2

2 2 2 16

3 5 2 30

2 2 24

0, 1,4j

f x x x x x Min

x x x x

x x x x

x x x

x j

= + + +

+ + =

+ + + + =

=

a

. G i i b n g p h n g p h p n h n h b

. T m p h n g n t i u c a b i t o n c

. C t n t i p h n g n t i u c a b i t o n

c t h n h p h n x 2=

1 1

k h

n g ?

d

. L p b i t o n i n g u v t m p h n g n t i u c a n

7. C h o b i t o n q u y h o c h t u y n t n h :

( ) 1 2 3 4

1 2 3

1 2 3 5

1 2 3 4

4 2 3

2 5

2 2

3 5

0, 1,5j

f x x x x x Min

x x x

x x x x

x x x x

x j

= + + +

=

+ + = + + =

=

a

. C h n g m i n h x = ( 1 8 / 5 , 2 , 1 / 5 , 0 , 0 ) l m t p h n g n c c b i n c a b i t o n t r n

b

. G i i b i t o n b n g p h n g p h p n h n h

c

. T m t p p h n g n t i u c a b i t o n c h o

d

. L p b i t o n i n g u c a b i t o n c h o v

t m p h n g n t i u c a n