The two foci F1, F2, P of hyperbola (x ^ 2) / 4 - (y ^ 2) / (b ^ 2) = 1 (B ∈ n *) are a point on the hyperbola, / op / < 5, / Pf1 /, / F1F2 /, / PF2 / are in equal proportion sequence, and the equation of the hyperbola is obtained

The two foci F1, F2, P of hyperbola (x ^ 2) / 4 - (y ^ 2) / (b ^ 2) = 1 (B ∈ n *) are a point on the hyperbola, / op / < 5, / Pf1 /, / F1F2 /, / PF2 / are in equal proportion sequence, and the equation of the hyperbola is obtained

The two focuses F1, F2, P is a point on the hyperbola, P is a point on the hyperbola, P is the distance from P to the right line x = a ^ 2 / C = 4 / C distance d1 = M-4 / C distance from the right line x = a ^ 2 / C distance d1 = M-4 / C distance from the left line x = - 4 / C distance from the left line x = - 4 / C distance d2 = m + 4 / C distance d2 = m + 4 / C distance d2 = m + 4 / C distance d2 = M = m + 4 / C is the distance of Pf1 Pf1 / / D1 = | PF2 ? PF2 | PF2 | PF2 124\\\\- 16 / C ^ 2) = [(MC) ^ 2] / 4-4 | F1F2 | ^ 2 = (2C) ^ 2 = 4C ^ 2, so (MC) ^ 2 / 4-4 = 4C ^ 2, C ^ 2 = 4 / (m ^ 2 / 4-4) because B is a natural number, So C ^ 2 must be the reuse of natural numbers|