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Question:

What are the real half axes and imaginary half axes of the hyperbola?

What are the real half axes and imaginary half axes of the hyperbola?

Answer:

The connected segment is called the real axis, while the line between the two points on the vertical axis with a Y-axis of + B is called the imaginary axis, and the half of the solid axis and the imaginary axis are called......
The first definition of hyperbola is that the absolute value of the distance between the fixed point and the two point is equal to the trajectory of the fixed length, which is called the hyperbolaThe distance between the two points is called the focal length (2C), and the distance difference is called the long axis (2a),Let b^2=c^2-a^2 say that 2b is the virtual axis length, in which a is called the semi major axis, and B is called the half imaginary axis lengthA has a geometric meaning, also have to center the geometric meaning of the distance from the vertex.B, in the center as the origin, to coordinate axis is hyperbolic symmetry axis, the cross point (a, b) and (-a, -b), (a, -b) and (-a, b) of the two lines is the hyperbolic asymptote.It is not appropriate to speak solely of the long axis and half imaginary axis
Take the hyperbola on the horizontal axis, for example, the two intersection point of it and the horizontal axis is called the apex of hyperbola

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