gaokao 2015 Q7

gaokao · China · national-II-arts Circles Inscribed/Circumscribed Circle Computations

7. Given three points $A ( 1,0 ) , B ( 0 , \sqrt { 3 } ) , C ( 2 , \sqrt { 3 } )$, the distance from the circumcenter of $\triangle A B C$ [Figure]
to the origin is
A. $\frac { 5 } { 3 }$
B. $\frac { \sqrt { 21 } } { 3 }$
C. $\frac { 2 \sqrt { 5 } } { 3 }$
D. $\frac { 4 } { 3 }$

7. Given three points $A ( 1,0 ) , B ( 0 , \sqrt { 3 } ) , C ( 2 , \sqrt { 3 } )$, the distance from the circumcenter of $\triangle A B C$\\
\includegraphics[max width=\textwidth, alt={}, center]{d02047a7-2e53-46f4-95bc-7a4508088779-1_419_479_2467_1370}

to the origin is\\
A. $\frac { 5 } { 3 }$\\
B. $\frac { \sqrt { 21 } } { 3 }$\\
C. $\frac { 2 \sqrt { 5 } } { 3 }$\\
D. $\frac { 4 } { 3 }$

Paper Questions

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