gaokao 2010 Q3

gaokao · China · shanghai-science Circles Circle-Related Locus Problems
3. A moving point $P$ has equal distance to the point $F ( 2,0 )$ and to the line $x + 2 = 0$. Then the locus equation of $P$ is $y ^ { 2 } = 8 x$.
Analysis: This examines the definition and standard equation of a parabola. By the definition, the locus of $P$ is a parabola with focus $F ( 2,0 )$. Since $p = 2$, its equation is $y ^ { 2 } = 8 x$.
(5 points) Given the complex number $z = \frac { \sqrt { 3 } + i } { ( 1 - \sqrt { 3 } i ) ^ { 2 } }$, then $| z | =$ 
3. A moving point $P$ has equal distance to the point $F ( 2,0 )$ and to the line $x + 2 = 0$. Then the locus equation of $P$ is $y ^ { 2 } = 8 x$.

Analysis: This examines the definition and standard equation of a parabola.\\
By the definition, the locus of $P$ is a parabola with focus $F ( 2,0 )$. Since $p = 2$, its equation is $y ^ { 2 } = 8 x$.
Paper Questions
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