Given the hyperbola 2x square - y = 2, find the equation of eccentricity and asymptote 'if a straight line intersects a'B two points' and a Given the hyperbola 2x square-y = 2, find the eccentricity and asymptote equation 'if a straight line intersects a'B two points' and the midpoint of AB is (2,1), find the slope of the straight line

Given the hyperbola 2x square - y = 2, find the equation of eccentricity and asymptote 'if a straight line intersects a'B two points' and a Given the hyperbola 2x square-y = 2, find the eccentricity and asymptote equation 'if a straight line intersects a'B two points' and the midpoint of AB is (2,1), find the slope of the straight line

1. Change hyperbolic equation to standard equation x ^ 2-y ^ 2 / 2 = 1, then eccentricity is √ 3,
It is easy to find the asymptote equation as X ± √ 2Y / 2 = 0
2. Let the linear AB equation be y = K (X-2) + 1, and simplify it with hyperbolic equation
(2-k^2)x^2+2(2k-1)x+(2k-1)^2-2=0
A. The abscissa of two points B is the two roots of the quadratic equation with one variable about X. let x 1, x 2, from the meaning of the title, we know that x 1 + x 2 = 4
That is, (4k-2) / (k ^ - 2) = 4, then the value of K can be solved, that is, the slope