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The two focuses of hyperbola x ^ 2 / 4-y ^ 2 / b ^ 2 = 1 are F1 and F2, and point P is on the hyperbola, if | Pf1 | F1F2 | PF2 | is an arithmetic sequence And | 0P | = 5, then B ^ 2=
Let Pf1 = R PF2 = R F1F2 = 2C (take r 〉 R)
r+R=4c r-R=2a=4
Then r = 2C + a = 2C + 2, r = 2c-a = 2c-2
2*5*c*COS〈POF2=25+c*c-R*R ①
2*5*c*COS〈POF1=25+c*c-r*r ②
①﹢②=0 c*c=4+b*b
So b * b = 3
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