opening traps

There are probably a couple of thousand of those opening tricks& traps. Here are three to solve :

Position 1 arises after: 1.e4 c5 2.d4 cxd4 3.c3 dxc3 4.Nxc3Nc6 5.Nf3 e6 6.Bc4 Qc7 7.Qe2 Nf68.O-O Ng4 9.Bb3?

Position 1: Black to play and win



















Position 2 arises after
1.d4 Nf6 2.Nf3 e6 3.Bg5 Be7 4.Nbd2d5 5.e3 Nbd7 6.Bd3 c5 7.c3 b68.Qa4 O-O 9.Ne5
Black played 9..Nxe5? Why is it such a bad idea ?

Position 2: Black plays 9..Ne5? and loses quickly


















What did Black miss by exchanging a pair of knights with 9..Ne5?


Next position:
1.e4 e6 2.d4 d5 3.Nd2 dxe4 4.Nxe4Nd7 5.Nf3 Ngf6 6.Nxf6+ Nxf6 7.Bd3Be7 8.Qe2 O-O 9.Bg5 b6?

Position 3: White to play and win