2011 Matematică Etapa Locala Barem Clasa a VI-A 2
-
Upload
roxana-baras -
Category
Documents
-
view
239 -
download
4
Transcript of 2011 Matematică Etapa Locala Barem Clasa a VI-A 2
8/15/2019 2011 Matematică Etapa Locala Barem Clasa a VI-A 2
http://slidepdf.com/reader/full/2011-matematica-etapa-locala-barem-clasa-a-vi-a-2 1/2
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
http://slidepdf.com/reader/full/2011-matematica-etapa-locala-barem-clasa-a-vi-a-2 2/2