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The word 虎视眈眈 is formed by combining the noun 虎 (tiger) with the verb 视 (to look), followed by the reduplicated adverb 眈眈 (glaring fiercely), where 虎 metaphorically describes the manner of looking and 眈眈 intensifies the action, resulting in a literal meaning of "tiger look glaringly" to convey a menacing, focused gaze.

Word Definition - 虎视眈眈

hǔ shì dān dān lit. to fix one's eyes on sth like a tiger watching its prey (idiom); fig. to eye covetously