cho (o) , duong kinh AC,B ∈ (o)sao cho sd b∧c =60.Qua B ke BD ⊥AC. QUA D ke DF//AC. tinh sd cung CD,AB , FD , AF , 29/11/2021 Bởi Skylar cho (o) , duong kinh AC,B ∈ (o)sao cho sd b∧c =60.Qua B ke BD ⊥AC. QUA D ke DF//AC. tinh sd cung CD,AB , FD , AF ,
Ta có: $+)\quad BD\perp AC$ $\to sđ\mathop{CD}\limits^{\displaystyle\frown}=sđ\mathop{BC}\limits^{\displaystyle\frown} = 60^\circ$ $+)\quad sđ\mathop{AB}\limits^{\displaystyle\frown} = sđ\mathop{AC}\limits^{\displaystyle\frown} – sđ\mathop{BC}\limits^{\displaystyle\frown}$ $\to sđ\mathop{AB}\limits^{\displaystyle\frown} = 180^\circ – 60^\circ = 120^\circ$ $+)\quad DF//AC$ $\to sđ\mathop{AF}\limits^{\displaystyle\frown}=sđ\mathop{CD}\limits^{\displaystyle\frown} = 60^\circ$ $+)\quad sđ\mathop{FD}\limits^{\displaystyle\frown} = sđ\mathop{AC}\limits^{\displaystyle\frown} – (sđ\mathop{CD}\limits^{\displaystyle\frown}+ sđ\mathop{AF}\limits^{\displaystyle\frown})$ $\to sđ\mathop{FD}\limits^{\displaystyle\frown} = 180^\circ – 2.60^\circ = 60^\circ$ Bình luận
Ta có:
$+)\quad BD\perp AC$
$\to sđ\mathop{CD}\limits^{\displaystyle\frown}=sđ\mathop{BC}\limits^{\displaystyle\frown} = 60^\circ$
$+)\quad sđ\mathop{AB}\limits^{\displaystyle\frown} = sđ\mathop{AC}\limits^{\displaystyle\frown} – sđ\mathop{BC}\limits^{\displaystyle\frown}$
$\to sđ\mathop{AB}\limits^{\displaystyle\frown} = 180^\circ – 60^\circ = 120^\circ$
$+)\quad DF//AC$
$\to sđ\mathop{AF}\limits^{\displaystyle\frown}=sđ\mathop{CD}\limits^{\displaystyle\frown} = 60^\circ$
$+)\quad sđ\mathop{FD}\limits^{\displaystyle\frown} = sđ\mathop{AC}\limits^{\displaystyle\frown} – (sđ\mathop{CD}\limits^{\displaystyle\frown}+ sđ\mathop{AF}\limits^{\displaystyle\frown})$
$\to sđ\mathop{FD}\limits^{\displaystyle\frown} = 180^\circ – 2.60^\circ = 60^\circ$