gaokao 2017 Q10

gaokao · China · national-I-science 5 marks Conic sections Focal Chord and Parabola Segment Relations

Let $F$ be the focus of the parabola $C : y ^ { 2 } = 4 x$. Two perpendicular lines $l _ { 1 }$ and $l _ { 2 }$ pass through $F$. Line $l _ { 1 }$ intersects $C$ at points $A$ and $B$, and line $l _ { 2 }$ intersects $C$ at points $D$ and $E$. The minimum value of $|AB| + |DE|$ is
A. 16
B. 14
C. 12
D. 10

Let $F$ be the focus of the parabola $C : y ^ { 2 } = 4 x$. Two perpendicular lines $l _ { 1 }$ and $l _ { 2 }$ pass through $F$. Line $l _ { 1 }$ intersects $C$ at points $A$ and $B$, and line $l _ { 2 }$ intersects $C$ at points $D$ and $E$. The minimum value of $|AB| + |DE|$ is

A. 16

B. 14

C. 12

D. 10

Paper Questions

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