1、DC; BC; ? BCE? ACB
2. Solution: ∵? ACB=90? ,
CE is the angular bisector of △ABC,
ECB= 1/2? ACB=45? .
∵? CEB= 105? ,
CED= 180? =? CEB=75? ,
∵CD? AB CDE = 90? ,
ECD= 180? -90? -75? = 15? .
3. Solution: Because AD is the midline of △ABC, BD=CD.
And because in △ABD and △ACD,
BD equals the height on the CD,
So S△ABD=S△ACD, so 1/2AB? DF= 1/2AC? De.
And because AB= 2AC, DE: DF = 2: 1.
4. solution: ∫EF//BC,? AFE=64? ,
? FEC=? AFE (two straight lines are parallel and the internal dislocation angles are equal).
∵CE split equally? ACB (known),
ECB= 1/2? ACB=32? ,
FEC=? ECB=32? .
C
5. Solution: △ABD circumference =AB+BD+ AD,
△ circumference of △ACD =AC+AD+DC.
AB = 7 cm, AC=5 cm,
AD=AD,BD=DC,
? △ circumference of △ABD-△ circumference of -△ACD -△= 2m.