The gunman shot a woman from his silver Mercedes convertible in Leutershausen-Tiefenthal and later shot a cyclist in nearby Rammersdorf, police in southern Germany said.
The man also appears to have shot at two other people, a farmer and another motorist, but they were unhurt, police said.
Local media reported that the suspect was detained at a petrol station in Bad Windsheim, several kilometres (miles) to the north of Ansbach.
Police plan to hold a news conference on Friday afternoon.
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