8/15/2019 2011 Matematică Etapa Locala Barem Clasa a VI-A 2

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Barem de corectare OLM Clasa a VI-a, 2011

1. ...... (2p)

Avem

20>n

........................ (2p)

( ) 50400,650,1000 =n , { }50,25,10,5,2,150 = D ............................……….....…...….

…(2p){ }50,25n ........................................................................................................................ (1p)

2. S = 2 + + + + + + + ... + + .................................................. (2p)

S = 2 + + + + + ... + ..........................................................

(2p)

= + + + ... + = 1 – ..........................................................................

(2p)

Finalizare S = 13 – …....………………..…………………………………….…….... (1p)

3. a) M mijlocul [ 21 A A ] M A

1 = 2 MA =2

21 A A=

2

2011

.................................................... (1p)

N mijlocul [ 32 A A ] N A 2 = 3

NA =2

32 A A=

2

2011 2

........................................................... (1p)

MN =2

MA + N A 2=

2

2011

+

2

2011 2= 2011 1006 = 2023066..............................................

(1p)

b)n

n A A 2011...20112011 2

11 +++=

+ ............................................................................... (1p)201120112010 1

11 −=

+

+

n

n A A ..........................................................................................

(1p)!nlocuin" o#$inem n = 2011............................................................................................... (2p)4. a) %e&en.....................................................…………...............................…….….…… (1p)%ac' no('m m) AOC *= x, m) AOD *= y, m) BOD *=3 x, avem x+ y=100 o i 3 x+ y=1 0 o

...................... ...................................................................................................................... (1p)%u-' calcule 00 60,40 == y x .......................................................................................... (1p)

8/15/2019 2011 Matematică Etapa Locala Barem Clasa a VI-A 2

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