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Kanye West got mad ... real mad (Joe Jackson) ... at a paparazzi in Miami last night ... after the snapper fired off some questions about Kim's ex-BF Reggie Bush.

Kanye and Kim Kardashian were leaving a dinner date in Miami Beach, when the photog -- NOT OURS -- shouted, "Kim did you know Reggie is here [in Miami] having dinner?"

The pap continued, "Did you wanna go congratulate him on his pregnancy?"

That's when Kanye snapped -- angrily rushing after the female pap after grasping for her camera -- but never actually striking the woman.  Kim was smiling during the entire confrontation.

K&K then got into a waiting Rolls Royce Phantom and left the scene.

Afterward, the pap told other photogs, "Kanye West just tried to beat me up."