The Republic of China (Taiwan) competed at the 1976 Winter Olympics in Innsbruck, Austria. The ROC would not return to the Olympics until 1984 and under the name "Chinese Taipei" due to objections by the People's Republic of China over the political status of Taiwan. The PRC boycotted the Olympics due to the Taiwanese participation under the name "Republic of China".
Alpine skiing
Men
AthleteEventRace 1Race 2TotalTimeRankTimeRankTimeRankChen Yun-MingGiant Slalom2:39.82832:43.46525:23.2852Chen Yun-MingSlalomDNF–––DNF–
Biathlon
Men EventAthleteTimePenaltiesAdjusted time 1Rank20 kmShen Li-Chien1'49:32.9191'58:32.9151Ueng Ming-Yih1'32:09.37101'42:09.3750
1 One minute added per close miss (a hit in the outer ring), two minutes added per complete miss.
Cross-country skiing
Men EventAthleteRaceTimeRank15 kmShen Li-Chien1'06:45.7777Liang Reng-Guey1'06:02.7976Ueng Ming-Yih57:02.7573
Luge
Men AthleteRun 1Run 2Run 3Run 4TotalTimeRankTimeRankTimeRankTimeRankTimeRankShieh Wei-Cheng56.2563056.2133656.9143755.817333:45.20034Huang Liu-Chong55.405261:42.821381:49.5203854.900255:22.64638
(Men's) Doubles AthletesRun 1Run 2TotalTimeRankTimeRankTimeRankShieh Wei-ChengHuang Liu-Chong45.7452145.633211:31.37821
Notes
References Official Olympic Reports Olympic Winter Games 1976, full results by sports-reference.com