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Shouldn't the distance difference between any point on the hyperbola and two focal points be equal to the length of focal length Shouldn't the distance difference between any point on the hyperbola and two focal points be equal to the focal length? Why is it equal to 2A?
The definition of hyperbola is that the distance difference between two fixed points is the set of fixed value points. The fixed value here is 2A. The distance between two fixed points (that is, two focal points) is 2C
If you follow your way of thinking, you can get that the difference between the two sides of a triangle is equal to the third side, which is not consistent with the definition of a triangle
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- 12. Proof: the distance from a point on an equiaxed hyperbola to the center of the hyperbola is the equal proportion median of its distance from the focus
- 13. The distance from a point P on the square of nine times x minus one sixteenth of y to its left quasilinear is 4.5, then the distance from point P to its right focus? I forgot about this kind of question, what is the standard line,
- 14. If the distance from a point P on hyperbola x2-y23 = 1 to the left focus is 4, then the distance from point P to the right collimator is () A. 1b. 2C. 3D. 1 or 3
- 15. The distance between a point P on hyperbola X & sup2 / 64-y & sup2 / 64 = 1 and its right focus is 8, then the distance between point P and its left quasilinear () A.10 B.32√7/7 C.12√2 D.32/5 From the known a & sup2; = B & sup2; = 64, we get e = √ 2, a & sup2 / / C = 4 √ 2. So the distance from point P to the right focus is 8 / E = 4 √ 2. And because a & sup2 / / C = 4 √ 2, so 2A & sup2 / / C = 8 √ 2. So the distance from P to the left quasilinear is 4 √ 2 + 8 √ 2 = 12 √ 2 Choose C
- 16. If the distance from a point P on the hyperbola x264 − y236 = 1 to its right focus is 8, then the distance from point P to its right collimator is () A. 10B. 3277C. 27D. 325
- 17. If the distance from the point P on the hyperbola x ^ 2 / 64-y ^ 2 / 36 = 1 to the right focus of the hyperbola is 8, then the distance from P to the right collimator is 8___ , P to the left collimator If the distance from the point P on the hyperbola x ^ 2 / 64-y ^ 2 / 36 = 1 to the right focus of the hyperbola is 8, then the distance from P to the right collimator is 8___ What is the distance from P to the left collimator___ .
- 18. The distance from a point on the left support of hyperbola x square / 9-y square / 16 = 1 to the left focus is 7, then the distance from this point to the right focus of hyperbola is 7
- 19. The distance from a point P on the right branch of hyperbola x ^ 2 / 16-y ^ 2 / 9 = 1 to the left quasilinear is 18, then the distance from the point to the right focus is 18
- 20. If point P is on hyperbola & nbsp; x216 & nbsp; − y212 & nbsp; = 1 and its abscissa is the same as that of the right focus of hyperbola, then the distance between point P and the left focus of hyperbola is______ ．