如图,等腰梯形ABCD中,AD‖BC,AD=2cm,BC=8cm,E是腰CD的中点,BE把梯形分成两部分,其周长之差为3cm.(1)求腰AB长 (2)四边形ABED和△BEC之比
如图,等腰梯形ABCD中,AD‖BC,AD=2cm,BC=8cm,E是腰CD的中点,BE把梯形分成两部分,其周长之差为3cm.
(1)求腰AB长 (2)四边形ABED和△BEC之比
在D DF⊥BC AC BC和F在E EG⊥BC AC BC DC 2 = DF 2 + FC 2
DC = AB> G
C(ABED)= AD + DE + + AB = AD +(1/2)CD + + AB = AD +(3/2)AB +
C(BEC)= BE + CE + BC = BE +(1/2 )CD + BC = BE +(1/2)AB + BC
C(ABED)-C(BEC)=(AD-BC)+ AB
C(ABED)-C(BEC) = 3
AB = 9
如果C(ABEC)-C(BEC)= -3
AB = 3(四舍五入)
设置DF = H1,EG = H2 ...... /> DF⊥BC,EG⊥BC
EG / DF = EC / CD = 1/2
S(ABED)= S(ABCE)-S(BEC)
=(AD + BC)* H1 / 2 = 5H1
S(BEC)= BC * EG / 2
= BC * H2 / 2 = 4H2
H1 = 2H2
S(ABED)/ S(BEC)= 5/2
CD被平分所以 AD+AB-BC=3 所以AB=9
什么之比- -.......
过D作DF⊥BC交BC与F,过E作EG⊥BC交BC与GDC²=DF²+FC²DC=AB>3C(ABED)=AD+DE+BE+AB=AD+(1/2)CD+BE+AB=AD+(3/2)AB+BEC(BEC)=BE+CE+BC=BE+(1/2)CD+BC=BE+(1/2)AB+BCC(ABED)-C(BEC)=(AD-BC)+AB若C(ABED)-C(...