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如图,BD平分∠ABC,CD平分∠ACF已知∠A=40°,求角D的度数
人气:496 ℃ 时间:2019-09-19 07:40:35
解答
∠ACF是∠ABC的补角吧∵BD平分∠ABC∴∠DBC = ∠ABD = ∠ABC/2∵∠ACF 是△ABC的外角∴∠ACF =∠A+∠ABC ∵CD平分∠ACF∴∠DCF = ∠ACD = ∠ACF/2 =(∠A+∠ABC)/2 = ∠A/2 + ∠DBC∵∠DCF = ∠D + ∠DBC∴∠D = ∠...
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