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

Hướng Dẫn. Mặt cầu \)">\left( S \right):{{\left( x-3 \right)}^{2}}+{{\left( y-2 \right)}^{2}}+{{\left( z-5 \right)}^{2}}=36,I\text{ (3;2;5)}R=6.\overrightarrow{EI}=(1;1;2)\Rightarrow EI=\overrightarrow{EI}=\sqrt{{{1}^{2}}+{{1}^{2}}+{{2}^{2}}}=\sqrt{6}<6=R.E\in \left( P \right)\left\{ \begin{matrix}
E\in \Delta \\
\Delta \subset P \\
\end{matrix} \right. \left( \Delta \right) \left( C \right) \left( P \right) \left( P \right) \Delta \cap S=A;B. AB d\left( K,\Delta \right) \left( \Delta \right) d\left( K,\Delta \right)=KF<KE. F\equiv E\left\{ \begin{matrix}
IK\bot \left( P \right) \\
KE\bot \Delta \\
\end{matrix} \right.\Rightarrow \left\{ \begin{matrix}
IK\bot \Delta \\
KE\bot \Delta \\
\end{matrix} \right.\Rightarrow IE\bot \Delta \left[ \overrightarrow{{{n}_{\left( P \right)}}},IE \right]=\left( 5;-5;0 \right) \overrightarrow{u}=\left( 1;-1;0 \right) \left\{ \begin{matrix}
\Delta \subset P \\
\Delta \bot IE \\
\end{matrix} \right. \overrightarrow{u}=\left( 1;-1;0 \right)\Delta :\left\{ \begin{matrix}
x=2+t \\
y=1-t \\
z=3 \\
\end{matrix}. \right.$