SOLUTII

Barem de corectareOLMClasa a VIII-a, 20131. a) ....(1p)Grupnd termenii convenabil rezult:......(1p)Soluii sunt toate permutrile tripletelor .............(1p)b) .(2p)

....(1p)

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

.(2p)

.......(2p)

....(1p)3. Fie E mijlocul segmentului (AC)...........(1p)n (linii mijlocii n triunghiuri)....................(1p)

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

coliniare...................................(1p)Din avem , deci coliniare ......................(2p)4. a) este echilateral...................................(1p)

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

.(1p)

dreptunghic.............................(1p)b) Perpendiculara din O pe MC (n MOP) este distana cutat..(2p)

...................................(1p)_1421178739.unknown

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