∵椭圆的焦点是(-2,0),(2,0)∴焦点在x轴上,且c=2.设椭圆的标准方程是x^2/a^2+y^2/b^2=1(a>b>0).∵a^2-b^2=c^2,c=2∴a^2=b^2+4∴椭圆的标准方程是x^2/(b^2+4)+y^2/b^2=1.∵椭圆过点(5/2,-3/2)∴(5/2)^2/(b^2+4)+(-3/2...