Where should I take a day trip in France?

I'm going to Paris in late March with my family and my mom said that she would like to take one day to visit another town outside of Paris. I recommended Southern France on the Mediterranean Sea but I guess that area is a little far. We want to travel by train and we would like to be able to leave early one... show more I'm going to Paris in late March with my family and my mom said that she would like to take one day to visit another town outside of Paris. I recommended Southern France on the Mediterranean Sea but I guess that area is a little far. We want to travel by train and we would like to be able to leave early one morning and return to Paris late the same day. Do you have any suggestions of some towns or areas we could visit? Thanks.
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