Parallelogram ABCD, a (- 1,0), B (0, - 2) on the coordinate axis, ad = 5 and Y axis intersect at points e, C, D, two points on the hyperbola y = K / x, the area of quadrilateral BCDE Is 5 times the area of triangle Abe, then k =? Please Please help me

Parallelogram ABCD, a (- 1,0), B (0, - 2) on the coordinate axis, ad = 5 and Y axis intersect at points e, C, D, two points on the hyperbola y = K / x, the area of quadrilateral BCDE Is 5 times the area of triangle Abe, then k =? Please Please help me

Abe area = 1 / 6abcd area
ABCD is divided into six triangles congruent with Abe, the abscissa difference of a-C is 4, and the abscissa difference of A-D is 3
So D (3,4), C (4,3)
k = 12

Given the ellipse x2 / 4 + y2 = 1, the area of triangle OAB can be obtained by crossing the point (0,2) as the tangent l of circle x2 + y2 = 1 and the ellipse g at two points o of a and B as the coordinate origin

Let the tangent slope be K, the equation be Y-2 = K (x-0), KX - y + 2 = 0, circle X & # 178; + Y & # 178; = 1, the center of circle be the origin, radius 1, the distance between the origin and tangent D is equal to the radius D = | k * 0 - 0 + 2 | / √ (K & # 178; + 1) = 2 / √ (K & # 178; + 1) = 1K = ± 1, the two tangents are symmetric about y axis, and only one (k =...) is selected below

(2013 &; Zhejiang) as shown in the figure, point P (0, - 1) is a vertex of ellipse C1: x2 A2 + y2b2 = 1 (a > b > 0), and the major axis of C1 is circle C2
The diameter of x 2 + y 2 = 4. L 1, L 2 are two straight lines passing through point P and perpendicular to each other, where l 1 intersects circle C 2 at two points and L 2 intersects ellipse C 1 at another point D
(1) Find the equation of ellipse C1;
(2) Find the equation of line L1 when the area of △ abd is the maximum

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It is known that the focal length of the ellipse C: x2 / A2 + Y2 / B2 = 1 (a > b > 0) is 4 and has the same eccentricity as the ellipse x2 + y2 = 1
Known ellipse C: x2 / A2 + Y2 / B2 = 1 (a > b > 0)
A straight line L with the same eccentricity and slope k passes through point m (0,1) and intersects with ellipse C at two different points a and B. (1) find the standard equation of ellipse C; (2) find the value range of K when the right focus F of ellipse C is in a circle with diameter ab

(1) For ellipse x ^ 2 + y ^ 2 / 2 = 1, A1 = √ 2, B1 = 1, C1 = 1, for ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1, focal length 2C = 4 = > C = 2, then E = C1 / A1 = C / a = 1 / √ 2 = 2 / a = > A = 2 √ 2B ^ 2 = a ^ 2-C ^ 2 = 8-4 = 4, the equation of ellipse C is: x ^ 2 / 8 + y ^ 2 / 4 = 1 (2) let the linear equation be y = kx + 1