Through hyperbola x ^ 2 / 16-y ^ 2 / 9 = 1, the chord AB length of left focus F1 is 5?

Hyperbola a = 4
AF2-AF1=2a=8
BF2-BF1=2a=8
AF1+BF1=5
Perimeter = af2 + BF2 + ab
=AF2+BF2+AF1+BF1
=AF2-AF1+BF2-BF1+2(AF1+BF1)
=8 +8 - 2*5
=6

RELATED INFORMATIONS

1. If the chord AB length of the left focus F1 passing through the hyperbola x216 − Y29 = 1 is 6, then the perimeter of △ abf2 (F2 is the right focus) is 6______ ．
2. If the focus coordinates of hyperbola y ^ 2 / A ^ 2-x ^ 2 / b ^ 2 = 1 are F1, F2, the length of chord AB passing through F1 is 6, the perimeter of triangle abf2 is 28, e = 5 / 4, find a If the focus coordinates of hyperbola y ^ 2 / A ^ 2-x ^ 2 / b ^ 2 = 1 are F1, F2, the length of chord AB passing through F1 is 6, the perimeter of triangle abf2 is 28, and E = 5 / 4, find the value of a and B
3. The left and right focus F1, F2 of hyperbola x squared △ 25 minus y squared △ 9 = 1, the length of chord AB passing through F1 is 2, find the circumference of triangle abf2
4. Through the left focus F1 of hyperbola x ^ 2 / 3-y ^ 2 = 1, make the chord AB with inclination angle of π / 3. Find the perimeter of triangle f2ab
5. There are three points a (2,1), B (6,2), C (3, - 3) in the plane rectangular coordinate system
6. If vector a (1,2) B (4,3) C (- 2,5), then what is the shape of triangle ABC, if it is changed to B (2,2)
7. In △ ABC, a (2, - 1), B (3,2), C (- 3, - 1), judge the shape of △ ABC
8. If the vector a = (1,2), B = (x, 1), and a + 2b is parallel to 2a-b, then x equals () A. 1B. -2C. 13D. 12
9. Given that a and B are two unit vectors, < A, b > = 60 degrees, what is the minimum value of | a + XB |? Anyone?
10. Given the vectors a, B and C, | a | = 1 | B | = 2 | C | = 3, the angle between a ⊥ B, a and C is 60 ° and the angle between B and C is 30 ° find the length of vector a + B + C
11. If the chord AB length of the left focus F1 passing through the hyperbola x216 − Y29 = 1 is 6, then the perimeter of △ abf2 (F2 is the right focus) is 6______ ．
12. If the chord AB length of the left focus F1 passing through the hyperbola X / 16-y / 9 = 1 is 6, then the perimeter of △ abf2 (F2 is the right focus) is () A 28 B 22 C 14 D12
13. It is known that the points F1 and F2 are the left and right focus of hyperbola (x ^ 2) / (a ^ 2) - (y ^ 2) / (2) = 1 (a > 0), respectively. Through F2, the direction of the focus perpendicular to the X axis is made, and the intersection hyperbola is% 1 If △ f1ab is an equilateral triangle, the asymptote equation of the hyperbola is obtained
14. As shown in the figure, it is known that F1 and F2 are the two focal points of the hyperbola x ^ 2 / A ^ 2-y ^ 2 / b ^ 2 (a > 0, b > 0). Through F2, make a straight line perpendicular to the X axis, and the hyperbola intersects at point P, with the angle pf1f2 = 30 ° to solve the asymptote equation of the hyperbola
15. It is known that the points F1 and F2 are the left and right focal points of the hyperbola x square, a square, y square and b square = 1 respectively. The line passing through F2 and perpendicular to the X axis and If the hyperbola intersects at two points AB, if Abf1 is an acute triangle, then the value range of eccentricity of the triangle yes
16. Let F1 and F2 be the left and right focus of hyperbola (x ^ 2) - (y ^ 2 / 9) = 1 respectively Let F1 and F2 be the left and right focus of hyperbola (x ^ 2) - (y ^ 2 / 9) = 1 respectively. If P is on hyperbola and Pf1 vector * PF2 vector = 0, then | Pf1 vector + PF2 vector | =? The answer is 2 root 10. But I can't work it out
17. Let F 1 and F 2 be the two focuses of the hyperbola x ^ 2 / 4-y ^ 2 = 1, and point p be on the hyperbola If ∠ f1pf2 = 120 °, calculate the area of triangle f1pf2 Find the area of | Pf1 | PF2 | Find the minimum value of | Pf1 | PF2 |. It's wrong.
18. The two focuses of hyperbola x squared / 9 - y squared / 16 = 1 are f1.f2, Point P is on hyperbola. If Pf1 is perpendicular to PF2, what is the distance from point P to X axis The answer in the book is 16 / 3
19. It is known that the focus of the hyperbola X & # 178 / / A & # 178; - Y & # 178 / / B & # 178; = 1 is F1 and F2, And the point P on the hyperbola satisfies that Pf1 is perpendicular to PF2, Pf1 = 3, PF2 = 4?
20. Let F1 and F2 be the two focuses of hyperbola x2a2 − y2b2 = 1 (a > 0, b > 0). If F1, F2 and P (0, 2b) are the three vertices of an equilateral triangle, then the eccentricity of hyperbola is______ ．