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C
B
$证明:(1)∵AD平分∠BAC,$
$∴∠BAD=∠DAC,$
$∵∠EFD=∠DAC+∠AEB,∠ADC=∠ABC+∠BAD,$
$又∵∠AEB=∠ABC,$
$∴∠EFD=∠ADC$
$解:(2)探究(1)中结论仍成立;$
$理由:∵AD平分∠BAG,$
$∴∠BAD=∠GAD,$
$∵∠FAE=∠GAD,$
$∴∠FAE=∠BAD,$
$∵∠EFD=∠AEB-∠FAE,$
$∠ADC=∠ABC-∠BAD,$
$又∵∠AEB=∠ABC,$
$∴∠EFD=∠ADC.$