△ABC的内切圆圆o与AC.BC,AB交于点DFE AB=6 AC=7BC=11则AE=?BF=?CD=?
问题描述:
△ABC的内切圆圆o与AC.BC,AB交于点DFE AB=6 AC=7BC=11则AE=?BF=?CD=?
答
因为△ABC的内切圆圆o与AC.BC,AB交于点DFE
则
AE=AD BE=BF CD=CF
AE+BE=AB=6 1
BF+CF=BC=11 2
AD+CD=AC=7 3
1+2+3得
AE+BE+BF+CF+AD+CD=2AE+2BF+2CF=24
AE+BF+CF=12 4
4-1得
CF=6
4-2得
AE=1
4-3得
BF=4