It is known that the two focal points of hyperbola x ^ 2 / A ^ 2-y ^ 2 = 1 (a > 0) are F1 and F2. P respectively, which are the points on the hyperbola, and ∠ f1pf2 = 90 °, find / Pf1 / * / PF2/

C & sup2; = A & sup2; + 1, ∵ ∠ f1pf2 = 90 °, | Pf1 | & sup2; + | PF2 | & sup2; = | F1F2 | & sup2;, i.e. | Pf1 | & sup2; + | PF2 | & sup2; = 4 C & sup2; = 4 A & sup2; + 4 ① According to the definition of hyperbola: | Pf1 | - | PF2 | = 2A, square: | Pf1 | & sup2; + | PF2 | & sup2; - 2 | Pf1 | * |

It is known that the two focal points of hyperbola x ^ 2 / A ^ 2-y ^ 2 = 1 (a > 0) are F1 and F2. P respectively, which are the points on the hyperbola, and ∠ f1pf2 = 90 °, find / Pf1 / * / PF2/

It is known that the two focal points of hyperbola x ^ 2 / A ^ 2-y ^ 2 = 1 (a > 0) are F1 and F2. P respectively, which are the points on the hyperbola, and ∠ f1pf2 = 90 °, find / Pf1 / * / PF2/

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