gaokao 2015 Q5

gaokao · China · zhejiang-science Circles Area and Geometric Measurement Involving Circles
5. As shown in the figure, let $F$ be the focus of the parabola $y ^ { 2 } = 4 x$. A line not passing through the focus contains three distinct points $A , B , C$, where points $A , B$ are on the parabola and point $C$ is on the $y$-axis. Then the ratio of the areas of $\triangle BCF$ and $\triangle ACF$ is
A. $\frac { | B F | - 1 } { | A F | - 1 }$
B. $\frac { | B F | ^ { 2 } - 1 } { | A F | ^ { 2 } - 1 }$
C. $\frac { | B F | + 1 } { | A F | + 1 }$
D. $\frac { | B F | ^ { 2 } + 1 } { | A F | ^ { 2 } + 1 }$
5. As shown in the figure, let $F$ be the focus of the parabola $y ^ { 2 } = 4 x$. A line not passing through the focus contains three distinct points $A , B , C$, where points $A , B$ are on the parabola and point $C$ is on the $y$-axis. Then the ratio of the areas of $\triangle BCF$ and $\triangle ACF$ is\\
A. $\frac { | B F | - 1 } { | A F | - 1 }$\\
B. $\frac { | B F | ^ { 2 } - 1 } { | A F | ^ { 2 } - 1 }$\\
C. $\frac { | B F | + 1 } { | A F | + 1 }$\\
D. $\frac { | B F | ^ { 2 } + 1 } { | A F | ^ { 2 } + 1 }$