The pilot had landed on a frozen lake with a ski-equipped airplane and was taxiing to his parking area in a westerly direction. Strong winds from the right produced a weather-vaning tendency on the airplane and the pilot countered by using engine power to maintain directional control. A gust of wind picked up the right wing and the airplane began moving sideways. The left main gear ski dug into the snow and the gear collapsed. The left wing then struck the surface of the lake. The wind conditions were 010 degrees at 22 knots, gusting to 28.