When a problem hits, analyze it calmly — don't just throw everything at the wall.
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From 《红楼梦》 Chapter 57: '宝玉笑道:所谓病急乱投医了' — Baoyu quotes it as a ready-made saying, showing it was already idiomatic in Qing-era speech.
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Literal: 'illness urgent → randomly seek doctors.' The image is someone in a panic trying quack after quack because the disease is scary. Extends perfectly to any panic-driven, unfiltered search for solutions.