gaokao 2015 Q6

gaokao · China · tianjin-arts Not Maths
6. As shown in the figure, in circle $O$, $M, N$ are trisection points of chord $AB$. Chords $CD, CE$ pass through points $M, N$ respectively. If $CM = 3$, then the length of segment $NE$ is [Figure]
(A) $\frac { 8 } { 3 }$
(B) 3
(C) $\frac { 10 } { 3 }$
(D) $\frac { 5 } { 2 }$
6. As shown in the figure, in circle $O$, $M, N$ are trisection points of chord $AB$. Chords $CD, CE$ pass through points $M, N$ respectively. If $CM = 3$, then the length of segment $NE$ is\\
\includegraphics[max width=\textwidth, alt={}, center]{815132cb-1cc0-44d2-9b46-43c3d501226b-1_988_390_648_1436}\\
(A) $\frac { 8 } { 3 }$\\
(B) 3\\
(C) $\frac { 10 } { 3 }$\\
(D) $\frac { 5 } { 2 }$