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E是正方形ABCD的BC边上的一点,CG平分∠DCF,连结AE,并在CG上取一点G,使AE垂直EG,求证:EG=AE
人气:480 ℃ 时间:2020-04-08 18:20:19
解答
在AB上取一点H,使得:AH = CE .则有:BH = AB-AH = BC-CE = BE ,可得:∠BHE = 45° ,∠AHE = 180°-∠BHE = 135° .∠ECG = ∠DCE+∠DCG = 90°+45° = 135° = ∠AHE ,∠CEG = 180°-∠AEG-∠AEB = 90°-∠AEB = ...
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