Question

已知中心在坐标原点,对称轴为坐标轴的双曲线C,过两点A(-1,1/2),B(2,2),F E为的两焦点,M N为的虚轴

Answer 1

x^2/a^2-y^2/b^2=1

1/a^2-1/(4b^2)=1

4/a^2-4/b^2=1

4b^2-a^2=4a^2b^2(1)

4b^2-4a^2=a^2b^2(2)

(1)-(2)

3a^2=3a^2b^2

b^2=1

b=1