1.
在\(\Delta ABC\)中,\(B\left( -2,0 \right),C\left( 2,0 \right),A\left( x,y \right)\),给出\(\Delta ABC\)满足的条件,就能得到动点\(A\)的轨迹方程,下表给出了一些条件及方程:
条件 |
\(①\) \(\Delta ABC\) 周长为 \(10\) |
\(②\) \(\Delta ABC\) 面积为 \(10\) |
\(③\) \(\Delta ABC\) 中, \(\angle A={{90}^{\circ }}\) |
方程 |
\({{C}_{1}}:{{y}^{2}}=25\) |
\({{C}_{2}}:{{x}^{2}}+{{y}^{2}}=4\left( y\ne 0 \right)\) |
\({{C}_{3}}:\dfrac{{{x}^{2}}}{9}+\dfrac{{{y}^{2}}}{5}=1\left( y\ne 0 \right)\) |
则满足条件\(①\),\(②\),\(③\)的轨迹方程依次为\((\) \()\)