A. B is two points on hyperbola x ^ 2-y ^ 2 / 2 = 1, and point (1,2) is a line segment ab. the midpoint of the line AB equation is obtained

A. Let a (x1, Y1), B (X2, Y2) then: X1 ^ 2-y1 ^ 2 / 2 = 1. (1) x2-y2 ^ 2 / 2 = 1. (2) (1) - (2) (x1 + x2) (x1-x2) = [(Y1 + Y2) (y1-y2)] / 2 point (1,2) be the midpoint of line AB (x1 + x2) / 2 = 1 (Y1 + Y2) / 2 = 2, then the slope of line AB k = (y1-y2) / (x1 -...)

RELATED INFORMATIONS

1. The line passing through point P (8,1) intersects hyperbola x2-4y2 = 4 at two points a and B, and P is the midpoint of line ab. the equation of line AB is obtained
2. Given the hyperbola x ^ 2-4y ^ 2 = 4 and the point m (8,1), the straight line passing through the electric m intersects the hyperbola at two points a and B, and M is the midpoint of the line AB, the equation of the straight line is obtained
3. If the line and hyperbola x2-4y2 = 4 intersect at two points a and B, if the midpoint coordinate of line AB is (8,1), then the equation of the line is______ ．
4. Given the line l1:3x + 4Y = 6 and l2:3x-4y = - 6, then the relationship between the inclination angles of line L1 and L2 is
5. Given the straight line L1: 3x-4y-17 = 0, L2: 3x-4y + 23 = 0, find the equation of circle C tangent to L1, L2 and X axes
6. When the line L passes through the point P (2, - 3), the inclination angle is 45 ° larger than that of the line y = 2x-1. The equation of line L is obtained
7. It is known that a straight line m and a straight line L: y = 2x + 3 have the same intercept on the y-axis, and the inclination angle is twice that of L. The equation for finding a straight line m is given
8. If a straight line is drawn through the point P (1,2) and its inclination angle is twice that of the straight line L: x-y-3 = 0, then the equation of the straight line is______ ．
9. The line L passing through the point P (1,2,) divides the circle x2 + y2-4x-5 = 0 into two arches. When the area of the smaller arch is the smallest, the equation of the line L is______ ．
10. Given that the straight line L passes through the point (2,1), the inclination angle is twice of the inclination angle of the straight line x-radical 3Y + 3 = 0, the equation for solving the straight line L is obtained
11. It is known that m (4,2) is the midpoint of line AB cut by ellipse x2 + 4y2 = 36, then the equation of line L is______ ．
12. If the midpoint of line a and B is (1,1), then the equation of L is?
13. The linear equation with ellipse (x ^ 2 / 9) + (y ^ 2 / 4) = 1 intersecting at two points a and B, and the midpoint of line AB is m (1,1) is, using the point difference method
14. Let the equation of the ellipse be x square + y square / 4 = 1, the straight line passing through M (0,1) intersects the ellipse at two points AB, O is the coordinate origin, Op vector = 1 / 2 (OA vector + ob vector). When l rotates around point m, the trajectory equation of the moving point P is obtained
15. If the parabola C1 and the parabola C2: y ^ 2 = - 4x are symmetric with respect to the straight line x + y = 2, then the focal coordinate of the parabola C1 is
16. Given circle C1: (x + 3) ^ 2 + y ^ 2 = 1 and circle C2: (x-3) ^ 2 + y ^ 2 = 9, the moving circle m is circumscribed with circle C1 and C2 at the same time The orbit equation of moving circle center M
17. Given that two circles C1: (x + 4) 2 + y2 = 2, C2: (x-4) 2 + y2 = 2, the moving circle m is tangent to both circles C1 and C2, then the trajectory equation of the moving circle center m is () A. X = 0b. X22-y214 = 1 (x ≥ 2) C. x22-y214 = 1D. X22-y214 = 1 or x = 0
18. It is known that the line L passes through the point P (- 2,5), and the slope is - 3 / 4. The equation of the circle where the line L is tangent to the point (2,2) and the center of the circle is on the line x + Y-11 = 0 is obtained Who knows? Reply
19. If a straight line passes through the point P (- 3, - 32), and the distance between the center of circle x2 + y2 = 25 and the straight line is 3, then the equation of the straight line is___ ．
20. The equation of the line parallel to the line 2x-y + 1 = 0 and tangent to the circle x2 + y2 = 5 is () A. 2x-y + 5 = 0b. X2-y-5 = 0C. 2x + y + 5 = 0 or 2x + Y-5 = 0d. 2x-y + 5 = 0 or 2x-y-5 = 0