解決方案:
a是AD⊥BC,豎腳是d
AB = AC = 2cm,∠ABC=30
∴∠ACB=∠ABC=30
∴∠BAC=120,AD=1/2AB=1cm,BD=√3cm
∴BC=2BD=2√3cm
∴S△ABC=1/2BC?AD =√3cm & amp;sup2
如果是1:
s範abec = [(360-120)/360]?S⊙A=2/3?π?2 & ampsup2= 8/3πcm & amp;sup2
s範DBFC=1/2S⊙D=1/2?π?(√3)?& ampsup2= 3/2πcm & amp;sup2
s尹=?S粉絲ABEC+S△ABC- S粉絲DBFC=(7/6π+√3)?cm & ampsup2
在第二種情況下:
s範abec = (120/360)?S⊙A=1/3?π?2 & ampsup2= 4/3πcm & amp;sup2
s範DBFC=1/2S⊙D=1/2?π?(√3)?& ampsup2= 3/2πcm & amp;sup2
s尹=?■粉絲DBFC-(?S粉絲ABEC-S△ABC)=?(1/6π+√3)?cm & ampsup2