Perpetual Check - your way to a Draw
The Perpetual Check can save you half a point when your chess position is bad and you are losing. Then there is no other way to save the game. In the following positions the opponent has more material (pieces) and is going to win or you will get checkmated soon. Your only chance is to force a draw with repeated checks.
Solutions
1) 1.Qe8+ Kh7 2.Qh5+ Kg8 3.Qe8+ kh7 4.Qh5 Kg8 5.Qe8+ draw
2) 1.Qg5+ Kh7 2.Qh5+ Kg8 3.draw White has eternal checks
3) 1...Qf2+ 2.Kh1 Qf1+ 3.Kh2 Black can force a draw
4) 1.Nf6+ Kf8 2.Nxh7+ Kg8 3.Nf6+ Kf8 (if 3...Kh8?? 4.Rh7 mate) White forces a draw
5) 1.Rxg6 fxR 2.Qxg+ Kh8 3.Qh6+ White forces draw
6) 1.Nf7+ Kg8 2.Nh6+ Kh8 2.Nf7+ etc.
7) 1...Rd2+ 2.Kb1 Rd1+ etc.
8) 1...Ne3 2.Kf2 Nf5+ 3.Kf1 Ne3+ etc.
9) 1.Nh5+ gxN 2.Qg5+ Kh8 3.Qf6+ forces draw
10)1...Ng3+ 2.Kh2 Nf1+ etc.
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