Several answers after a merger:
Answer 1.
Here are just some places you can ski in Switzerland:
1. Adelboden 2. Andermatt3. Anzere4. Arosa5. Bettmeralp6. Brienz Meiringen Hasliberg7. Brigels Waltensburg Andiast8. Champery9. Chateaux-d'Oex
Many of these places are high up in the mountains and are really good ski resorts.
Answer 2.
There are many ski resorts in Switzerland. Some are low key and others approach mostly to the high society. I found a site that has a description of the various Swiss ski resorts.
You should have a look to compare the different ski resorts since they are located in different cantons in the south.
www.high-end-travel-switzerland.com/swiss-ski-resorts.html
Answer 3.
Here you find even more: http://en.wikipedia.org/wiki/List_of_ski_areas_and_resorts_in_Europe
Yes, Switzerland is well known for its good ski areas, and long skiing history. See also: "Where do people ski in Switzerland?"
Yes, there are many very large ski resorts in the Alps in Switzerland.
Zermatt. Its ski area is shared between Switzerland and Italy.
Switzerland
Switzerland is known for its ski resorts and its policy of neutrality in international affairs. It offers a plethora of world-class ski destinations set in the stunning Swiss Alps, attracting visitors from around the globe.
4 Vallées.
None. But there are are quite many ski resort covering two countries: France/Italy, France/Switzerland, France/Andorra, Switzerland/Italy, Switzerland/Austria, Italy/Slovenia and Austria/Germany.
Yes
France, Italy, Austria and Switzerland.
Zermatt is in Switzerland. Zermatt is part of the ski resort Matterhorn ski paradise which also includes the Italian villages Cervinia and Valtournenche.
In the French Alps. Right next to Italy and Switzerland.
It was filmed at an unspecified ski resort, although the fenicular that can be seen in two shots is from Saas-Fee, Switzerland.