Trong không gian Oxyz, cho điểm $E\left( 2;1;3 \right)$, mặt phẳng...

\)">\left( S \right):{{\left( x-3 \right)}^{2}}+{{\left( y-2 \right)}^{2}}+{{\left( z-5 \right)}^{2}}=36I\left( 3;2;5 \right)R=6\overrightarrow{EI}=\left( 1;1;2 \right)\Rightarrow \overrightarrow{\left| EI \right|}=\sqrt{{{1}^{2}}+{{1}^{2}}+{{2}^{2}}}=\sqrt{6}<6=R(S)E\in \left( P \right)\left\{ \begin{aligned}
& E\in \Delta \\
& \Delta \subset \left( P \right) \\
\end{aligned} \right. \left( \Delta \right) (S) (C) (P) (S) (P) \Delta \cap \left( S \right)=\left\{ A;B \right\} d\left( K,\Delta \right)\left( \Delta \right)d\left( K;\Delta \right)=KF\le KE''=''F\equiv E\left\{ \begin{aligned}
& IK\bot \left( P \right) \\
& KE\bot \Delta \\
\end{aligned} \right.\Rightarrow \left\{ \begin{aligned}
& IK\bot \Delta \\
& KE\bot \Delta \\
\end{aligned} \right.\Rightarrow IE\bot \Delta \left[ {{\overrightarrow{n}}_{\left( P \right)}},\overrightarrow{EI} \right]=\left( 5;-5;0 \right)\overrightarrow{u}=\left( 1;-1;0 \right)\left\{ \begin{aligned}
& \Delta \subset \left( P \right) \\
& \Delta \bot IE \\
\end{aligned} \right. \Delta \overrightarrow{u}=\left( 1;-1;0 \right) \Delta :\left\{ \begin{aligned}
& x=2+t \\
& y=1-t \\
& z=3 \\
\end{aligned} \right.$.