同时使用实体框架与SQL Server和SQLite数据库

I have a C# .Net 4.0 console application for testing purposes (using VS 2012). My aim is to be able to create a single Entity Framework .edmx file that can be used on both an MS SQL Server database, and an SQLite database. Basically, I want to use the same entity model classes and collections for querying, but easily be able to switch between the two different databases at will.I have a C# .Net 4.0 console application for te