焦點為(0,-6),(0,6),經過點(2,-5)的雙曲線標準方程為() A. y220-x216=1B. x220−y216=1C. y216−x236=1D. x216−y236=1

焦點為(0,-6),(0,6),經過點(2,-5)的雙曲線標準方程為() A. y220-x216=1B. x220−y216=1C. y216−x236=1D. x216−y236=1

由題意設y2a2−x2b2=1(a>0,b>0),∴c=625a2−4b2=1c2=a2+b2,解得a2=20,b2=16.∴雙曲線的方程為y220−x216=1.故選A.