좌표평면 위를 움직이는 두 점 A ( 2 + sin θ , 2 3 + 3 sin θ ) , B ( cos θ , − 3 cos θ ) \mathrm A(2+\sin\theta,2\sqrt3+\sqrt3\sin\theta),\ \mathrm B(\cos\theta,-\sqrt3\cos\theta) A ( 2 + sin θ , 2 3 + 3 sin θ ) , B ( cos θ , − 3 cos θ ) C ( 1 , 0 ) \mathrm C(1,0) C ( 1 , 0 ) A B \mathrm{AB} AB M \mathrm M M C M ‾ \overline{\mathrm{CM}} CM M \mathrm M M D \mathrm D D C M ‾ \overline{\mathrm{CM}} CM M \mathrm M M E \mathrm E E 0 ≤ θ < 2 π 0\le\theta<2\pi 0 ≤ θ < 2 π [4점]
ㄱ. 점 M \mathrm M M
ㄴ. C D ‾ + C E ‾ = 2 3 \overline{\mathrm{CD}}+\overline{\mathrm{CE}}=2\sqrt3 CD + CE = 2 3
ㄷ. ∠ D O E = α \angle\mathrm{DOE}=\alpha ∠ DOE = α tan α = 2 5 6 \tan\alpha=\frac25\sqrt6 tan α = 5 2 6 O \mathrm O O
